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lemma(1, [], ap(assump1, []): (col(a, b, c, l), col(d, e, f, m))). lemma(2, [], ap(assump2, []): (col(b, f, g, n), col(c, e, g, o))). lemma(3, [], ap(assump3, []): (col(b, d, h, p), col(a, e, h, q))). lemma(4, [], ap(assump4, []): (col(c, d, i, r), col(a, f, i, s))). lemma(5, [], ap(col_elim1(a, b, c, l), [1:1]):pl(a, l)). lemma(6, [], ap(col_elim1(d, e, f, m), [2:1]):pl(d, m)). lemma(7, [], ap(col_elim1(b, f, g, n), [1:2]):pl(b, n)). lemma(8, [], ap(col_elim1(c, e, g, o), [2:2]):pl(c, o)). lemma(9, [], ap(col_elim1(b, d, h, p), [1:3]):pl(b, p)). lemma(10, [], ap(col_elim1(a, e, h, q), [2:3]):pl(a, q)). lemma(11, [], ap(col_elim1(c, d, i, r), [1:4]):pl(c, r)). lemma(12, [], ap(col_elim1(a, f, i, s), [2:4]):pl(a, s)). lemma(13, [], ap(col_elim2(a, b, c, l), [1:1]):pl(b, l)). lemma(14, [], ap(col_elim2(d, e, f, m), [2:1]):pl(e, m)). lemma(15, [], ap(col_elim2(b, f, g, n), [1:2]):pl(f, n)). lemma(16, [], ap(col_elim2(c, e, g, o), [2:2]):pl(e, o)). lemma(17, [], ap(col_elim2(b, d, h, p), [1:3]):pl(d, p)). lemma(18, [], ap(col_elim2(a, e, h, q), [2:3]):pl(e, q)). lemma(19, [], ap(col_elim2(c, d, i, r), [1:4]):pl(d, r)). lemma(20, [], ap(col_elim2(a, f, i, s), [2:4]):pl(f, s)). lemma(21, [], ap(col_elim3(a, b, c, l), [1:1]):pl(c, l)). lemma(22, [], ap(col_elim3(d, e, f, m), [2:1]):pl(f, m)). lemma(23, [], ap(col_elim3(b, f, g, n), [1:2]):pl(g, n)). lemma(24, [], ap(col_elim3(c, e, g, o), [2:2]):pl(g, o)). lemma(25, [], ap(col_elim3(b, d, h, p), [1:3]):pl(h, p)). lemma(26, [], ap(col_elim3(a, e, h, q), [2:3]):pl(h, q)). lemma(27, [], ap(col_elim3(c, d, i, r), [1:4]):pl(i, r)). lemma(28, [], ap(col_elim3(a, f, i, s), [2:4]):pl(i, s)). lemma(29, [], ap(pref(a, l), [5]):ep(a, a)). lemma(30, [], ap(pref(d, m), [6]):ep(d, d)). lemma(31, [], ap(pref(b, n), [7]):ep(b, b)). lemma(32, [], ap(pref(c, o), [8]):ep(c, c)). lemma(33, [], ap(pref(e, m), [14]):ep(e, e)). lemma(34, [], ap(pref(f, n), [15]):ep(f, f)). lemma(35, [], ap(pref(g, n), [23]):ep(g, g)). lemma(36, [], ap(pref(h, p), [25]):ep(h, h)). lemma(37, [], ap(pref(i, r), [27]):ep(i, i)). lemma(38, [], ap(lref(a, l), [5]):el(l, l)). lemma(39, [], ap(lref(d, m), [6]):el(m, m)). lemma(40, [], ap(lref(b, n), [7]):el(n, n)). lemma(41, [], ap(lref(c, o), [8]):el(o, o)). lemma(42, [], ap(lref(b, p), [9]):el(p, p)). lemma(43, [], ap(lref(a, q), [10]):el(q, q)). lemma(44, [], ap(lref(c, r), [11]):el(r, r)). lemma(45, [], ap(lref(a, s), [12]):el(s, s)). lemma(46, [], ap(papp1(a, b, c, d, e, f, g, h, i, l, m, n, o, p, q, r, s), [1:1, 2:1, 1:2, 2:2, 1:3, 2:3, 1:4, 2:4]): (dom(A), col(g, h, i, A);pl(a, m);pl(b, m);pl(c, m);pl(d, l);pl(e, l);pl(f, l))). lemma(47, [ (dom(par(0)), col(g, h, i, par(0)))], ap(col_elim1(g, h, i, par(0)), [col(g, h, i, par(0))]):pl(g, par(0))). lemma(48, [ (dom(par(0)), col(g, h, i, par(0)))], ap(col_elim2(g, h, i, par(0)), [col(g, h, i, par(0))]):pl(h, par(0))). lemma(49, [ (dom(par(0)), col(g, h, i, par(0)))], ap(col_elim3(g, h, i, par(0)), [col(g, h, i, par(0))]):pl(i, par(0))). lemma(50, [ (dom(par(0)), col(g, h, i, par(0)))], ap(lref(g, par(0)), [47]):el(par(0), par(0))). lemma(51, [ (dom(par(0)), col(g, h, i, par(0)))], ap(goal4(par(0)), [50, 47, 48, 49]):goal). lemma(52, [pl(a, m)], ap(unique(q, m, a, e), [10, pl(a, m), 18, 14]): (ep(a, e);el(q, m))). lemma(53, [ep(a, e), pl(a, m)], ap(psym(a, e), [ep(a, e)]):ep(e, a)). lemma(54, [ep(a, e), pl(a, m)], ap(pcon(a, e, o), [ep(a, e), 16]):pl(a, o)). lemma(55, [ep(a, e), pl(a, m)], ap(pcon(e, a, l), [53, 5]):pl(e, l)). lemma(56, [ep(a, e), pl(a, m)], ap(pcon(e, a, s), [53, 12]):pl(e, s)). lemma(57, [ep(a, e), pl(a, m)], ap(unique(l, o, a, c), [5, 54, 21, 8]): (ep(a, c);el(l, o))). lemma(58, [ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(59, [ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, c), [53, ep(a, c)]):ep(e, c)). lemma(60, [ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, c), [59]):ep(c, e)). lemma(61, [ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(62, [ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, a, r), [53, 61]):pl(e, r)). lemma(63, [ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, q), [58, 10]):pl(c, q)). lemma(64, [ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, s), [58, 12]):pl(c, s)). lemma(65, [ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, m), [58, pl(a, m)]):pl(c, m)). lemma(66, [ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, r, d, e), [6, 19, 14, 62]): (ep(d, e);el(m, r))). lemma(67, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(68, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, d), [ep(a, e), 67]):ep(a, d)). lemma(69, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, d), [68]):ep(d, a)). lemma(70, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, d), [58, 68]):ep(c, d)). lemma(71, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, d), [70]):ep(d, c)). lemma(72, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(73, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(74, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, l), [ep(d, e), 55]):pl(d, l)). lemma(75, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, s), [ep(d, e), 56]):pl(d, s)). lemma(76, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, d, p), [67, 17]):pl(e, p)). lemma(77, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, e, p), [ep(a, e), 76]):pl(a, p)). lemma(78, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, p), [58, 77]):pl(c, p)). lemma(79, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, p, a, b), [5, 77, 13, 9]): (ep(a, b);el(l, p))). lemma(80, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(81, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, b), [53, ep(a, b)]):ep(e, b)). lemma(82, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, b), [81]):ep(b, e)). lemma(83, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, b), [58, ep(a, b)]):ep(c, b)). lemma(84, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, b), [83]):ep(b, c)). lemma(85, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, b), [ep(d, e), 81]):ep(d, b)). lemma(86, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, b), [85]):ep(b, d)). lemma(87, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(88, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, a, n), [53, 87]):pl(e, n)). lemma(89, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, n), [58, 87]):pl(c, n)). lemma(90, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, n), [ep(d, e), 88]):pl(d, n)). lemma(91, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, q), [80, 10]):pl(b, q)). lemma(92, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, s), [80, 12]):pl(b, s)). lemma(93, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, m), [80, pl(a, m)]):pl(b, m)). lemma(94, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, o), [80, 54]):pl(b, o)). lemma(95, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, r), [80, 61]):pl(b, r)). lemma(96, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, s, d, f), [6, 75, 22, 20]): (ep(d, f);el(m, s))). lemma(97, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(98, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, f), [67, ep(d, f)]):ep(e, f)). lemma(99, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, f), [98]):ep(f, e)). lemma(100, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, f), [ep(a, e), 98]):ep(a, f)). lemma(101, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, f), [100]):ep(f, a)). lemma(102, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, f), [58, 100]):ep(c, f)). lemma(103, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, f), [102]):ep(f, c)). lemma(104, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(b, a, f), [80, 100]):ep(b, f)). lemma(105, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, f), [104]):ep(f, b)). lemma(106, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, p), [97, 17]):pl(f, p)). lemma(107, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, r), [97, 19]):pl(f, r)). lemma(108, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, o), [97, 72]):pl(f, o)). lemma(109, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, q), [97, 73]):pl(f, q)). lemma(110, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, l), [97, 74]):pl(f, l)). lemma(111, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(n, o, b, g), [7, 94, 23, 24]): (ep(b, g);el(n, o))). lemma(112, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(113, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(114, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [113]):ep(g, a)). lemma(115, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 113]):ep(e, g)). lemma(116, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [115]):ep(g, e)). lemma(117, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 113]):ep(c, g)). lemma(118, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [117]):ep(g, c)). lemma(119, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, g), [ep(d, e), 115]):ep(d, g)). lemma(120, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [119]):ep(g, d)). lemma(121, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, g), [97, 119]):ep(f, g)). lemma(122, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [121]):ep(g, f)). lemma(123, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [112, 9]):pl(g, p)). lemma(124, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, l), [112, 13]):pl(g, l)). lemma(125, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, q), [112, 91]):pl(g, q)). lemma(126, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, s), [112, 92]):pl(g, s)). lemma(127, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, m), [112, 93]):pl(g, m)). lemma(128, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, r), [112, 95]):pl(g, r)). lemma(129, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(p, q, b, h), [9, 91, 25, 26]): (ep(b, h);el(p, q))). lemma(130, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(131, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(132, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, h), [131]):ep(h, a)). lemma(133, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, h), [53, 131]):ep(e, h)). lemma(134, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, h), [133]):ep(h, e)). lemma(135, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, h), [58, 131]):ep(c, h)). lemma(136, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, h), [135]):ep(h, c)). lemma(137, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, h), [ep(d, e), 133]):ep(d, h)). lemma(138, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, h), [137]):ep(h, d)). lemma(139, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, h), [97, 137]):ep(f, h)). lemma(140, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, h), [139]):ep(h, f)). lemma(141, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(g, b, h), [112, ep(b, h)]):ep(g, h)). lemma(142, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(g, h), [141]):ep(h, g)). lemma(143, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, b, n), [130, 7]):pl(h, n)). lemma(144, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, b, l), [130, 13]):pl(h, l)). lemma(145, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, b, s), [130, 92]):pl(h, s)). lemma(146, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(s), [45, 126, 145, 28]):goal). lemma(147, [el(p, q), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal2, [el(p, q)]):goal). lemma(148, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(129), [146, 147]):goal). lemma(149, [el(n, o), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(150, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(111), [148, 149]):goal). lemma(151, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(152, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(i, s, m), [28, 151]):pl(i, m)). lemma(153, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, r, d, i), [6, 19, 152, 27]): (ep(d, i);el(m, r))). lemma(154, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(155, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, i), [67, ep(d, i)]):ep(e, i)). lemma(156, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, i), [155]):ep(i, e)). lemma(157, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, i), [ep(a, e), 155]):ep(a, i)). lemma(158, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, i), [157]):ep(i, a)). lemma(159, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, i), [58, 157]):ep(c, i)). lemma(160, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, i), [159]):ep(i, c)). lemma(161, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(b, a, i), [80, 157]):ep(b, i)). lemma(162, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, i), [161]):ep(i, b)). lemma(163, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, p), [154, 17]):pl(i, p)). lemma(164, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, o), [154, 72]):pl(i, o)). lemma(165, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, q), [154, 73]):pl(i, q)). lemma(166, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, l), [154, 74]):pl(i, l)). lemma(167, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, n), [154, 90]):pl(i, n)). lemma(168, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, n, d, f), [6, 90, 22, 15]): (ep(d, f);el(m, n))). lemma(169, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(170, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, f), [67, ep(d, f)]):ep(e, f)). lemma(171, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, f), [170]):ep(f, e)). lemma(172, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, f), [ep(a, e), 170]):ep(a, f)). lemma(173, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, f), [172]):ep(f, a)). lemma(174, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, f), [58, 172]):ep(c, f)). lemma(175, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, f), [174]):ep(f, c)). lemma(176, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(b, a, f), [80, 172]):ep(b, f)). lemma(177, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, f), [176]):ep(f, b)). lemma(178, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, d, f), [154, ep(d, f)]):ep(i, f)). lemma(179, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, f), [178]):ep(f, i)). lemma(180, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, p), [169, 17]):pl(f, p)). lemma(181, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, r), [169, 19]):pl(f, r)). lemma(182, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, o), [169, 72]):pl(f, o)). lemma(183, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, q), [169, 73]):pl(f, q)). lemma(184, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, l), [169, 74]):pl(f, l)). lemma(185, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(n, o, b, g), [7, 94, 23, 24]): (ep(b, g);el(n, o))). lemma(186, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(187, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(188, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [187]):ep(g, a)). lemma(189, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 187]):ep(e, g)). lemma(190, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [189]):ep(g, e)). lemma(191, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 187]):ep(c, g)). lemma(192, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [191]):ep(g, c)). lemma(193, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, g), [ep(d, e), 189]):ep(d, g)). lemma(194, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [193]):ep(g, d)). lemma(195, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, d, g), [154, 193]):ep(i, g)). lemma(196, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, g), [195]):ep(g, i)). lemma(197, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, g), [169, 193]):ep(f, g)). lemma(198, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [197]):ep(g, f)). lemma(199, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [186, 9]):pl(g, p)). lemma(200, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(p), [42, 199, 25, 163]):goal). lemma(201, [el(n, o), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(202, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(185), [200, 201]):goal). lemma(203, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(204, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(s, m, n), [151, el(m, n)]):el(s, n)). lemma(205, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(s, n), [204]):el(n, s)). lemma(206, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(g, n, m), [23, 203]):pl(g, m)). lemma(207, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(g, n, s), [23, 205]):pl(g, s)). lemma(208, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, o, d, g), [6, 72, 206, 24]): (ep(d, g);el(m, o))). lemma(209, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(210, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, g), [67, ep(d, g)]):ep(e, g)). lemma(211, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [210]):ep(g, e)). lemma(212, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, g), [ep(a, e), 210]):ep(a, g)). lemma(213, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [212]):ep(g, a)). lemma(214, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 212]):ep(c, g)). lemma(215, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [214]):ep(g, c)). lemma(216, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(b, a, g), [80, 212]):ep(b, g)). lemma(217, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [216]):ep(g, b)). lemma(218, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, d, g), [154, ep(d, g)]):ep(i, g)). lemma(219, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, g), [218]):ep(g, i)). lemma(220, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, d, p), [209, 17]):pl(g, p)). lemma(221, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(p), [42, 220, 25, 163]):goal). lemma(222, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(223, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(s, m, o), [151, el(m, o)]):el(s, o)). lemma(224, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(s, o), [223]):el(o, s)). lemma(225, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(n, m, o), [203, el(m, o)]):el(n, o)). lemma(226, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [225]):goal). lemma(227, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(208), [221, 226]):goal). lemma(228, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(168), [202, 227]):goal). lemma(229, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(230, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(s, m, r), [151, el(m, r)]):el(s, r)). lemma(231, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal3, [230]):goal). lemma(232, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(153), [228, 231]):goal). lemma(233, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(96), [150, 232]):goal). lemma(234, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(235, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(h, p, l), [25, 234]):pl(h, l)). lemma(236, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, q, a, h), [5, 10, 235, 26]): (ep(a, h);el(l, q))). lemma(237, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(238, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, h), [53, ep(a, h)]):ep(e, h)). lemma(239, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, h), [238]):ep(h, e)). lemma(240, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, h), [58, ep(a, h)]):ep(c, h)). lemma(241, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, h), [240]):ep(h, c)). lemma(242, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, h), [ep(d, e), 238]):ep(d, h)). lemma(243, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, h), [242]):ep(h, d)). lemma(244, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, a, s), [237, 12]):pl(h, s)). lemma(245, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, a, m), [237, pl(a, m)]):pl(h, m)). lemma(246, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, a, o), [237, 54]):pl(h, o)). lemma(247, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, a, r), [237, 61]):pl(h, r)). lemma(248, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, s, d, f), [6, 75, 22, 20]): (ep(d, f);el(m, s))). lemma(249, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(250, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, f), [67, ep(d, f)]):ep(e, f)). lemma(251, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, f), [250]):ep(f, e)). lemma(252, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, f), [ep(a, e), 250]):ep(a, f)). lemma(253, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, f), [252]):ep(f, a)). lemma(254, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, f), [58, 252]):ep(c, f)). lemma(255, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, f), [254]):ep(f, c)). lemma(256, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(h, a, f), [237, 252]):ep(h, f)). lemma(257, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(h, f), [256]):ep(f, h)). lemma(258, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(259, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, d, n), [67, 258]):pl(e, n)). lemma(260, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, e, n), [ep(a, e), 259]):pl(a, n)). lemma(261, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, n), [58, 260]):pl(c, n)). lemma(262, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(h, a, n), [237, 260]):pl(h, n)). lemma(263, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, p), [249, 17]):pl(f, p)). lemma(264, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, r), [249, 19]):pl(f, r)). lemma(265, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, o), [249, 72]):pl(f, o)). lemma(266, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, q), [249, 73]):pl(f, q)). lemma(267, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, d, l), [249, 74]):pl(f, l)). lemma(268, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, n, a, b), [5, 260, 13, 7]): (ep(a, b);el(l, n))). lemma(269, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(270, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, b), [53, ep(a, b)]):ep(e, b)). lemma(271, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, b), [270]):ep(b, e)). lemma(272, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, b), [58, ep(a, b)]):ep(c, b)). lemma(273, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, b), [272]):ep(b, c)). lemma(274, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, b), [ep(d, e), 270]):ep(d, b)). lemma(275, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, b), [274]):ep(b, d)). lemma(276, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(h, a, b), [237, ep(a, b)]):ep(h, b)). lemma(277, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(h, b), [276]):ep(b, h)). lemma(278, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, b), [249, 274]):ep(f, b)). lemma(279, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, b), [278]):ep(b, f)). lemma(280, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, q), [269, 10]):pl(b, q)). lemma(281, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, s), [269, 12]):pl(b, s)). lemma(282, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, m), [269, pl(a, m)]):pl(b, m)). lemma(283, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, o), [269, 54]):pl(b, o)). lemma(284, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, r), [269, 61]):pl(b, r)). lemma(285, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(n, o, b, g), [7, 283, 23, 24]): (ep(b, g);el(n, o))). lemma(286, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(287, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(288, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [287]):ep(g, a)). lemma(289, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 287]):ep(e, g)). lemma(290, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [289]):ep(g, e)). lemma(291, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 287]):ep(c, g)). lemma(292, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [291]):ep(g, c)). lemma(293, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, g), [ep(d, e), 289]):ep(d, g)). lemma(294, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [293]):ep(g, d)). lemma(295, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(h, a, g), [237, 287]):ep(h, g)). lemma(296, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(h, g), [295]):ep(g, h)). lemma(297, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, g), [249, 293]):ep(f, g)). lemma(298, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [297]):ep(g, f)). lemma(299, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [286, 9]):pl(g, p)). lemma(300, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, l), [286, 13]):pl(g, l)). lemma(301, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, q), [286, 280]):pl(g, q)). lemma(302, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, s), [286, 281]):pl(g, s)). lemma(303, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(s), [45, 302, 244, 28]):goal). lemma(304, [el(n, o), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(305, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(285), [303, 304]):goal). lemma(306, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(307, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(p, l, n), [234, el(l, n)]):el(p, n)). lemma(308, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(p, n), [307]):el(n, p)). lemma(309, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(g, n, l), [23, 306]):pl(g, l)). lemma(310, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(g, n, p), [23, 308]):pl(g, p)). lemma(311, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, o, a, g), [5, 54, 309, 24]): (ep(a, g);el(l, o))). lemma(312, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(313, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, ep(a, g)]):ep(e, g)). lemma(314, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [313]):ep(g, e)). lemma(315, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, ep(a, g)]):ep(c, g)). lemma(316, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [315]):ep(g, c)). lemma(317, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, g), [ep(d, e), 313]):ep(d, g)). lemma(318, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [317]):ep(g, d)). lemma(319, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(h, a, g), [237, ep(a, g)]):ep(h, g)). lemma(320, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(h, g), [319]):ep(g, h)). lemma(321, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, d, g), [249, 317]):ep(f, g)). lemma(322, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [321]):ep(g, f)). lemma(323, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, a, q), [312, 10]):pl(g, q)). lemma(324, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, a, s), [312, 12]):pl(g, s)). lemma(325, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(s), [45, 324, 244, 28]):goal). lemma(326, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(327, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(p, l, o), [234, el(l, o)]):el(p, o)). lemma(328, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(p, o), [327]):el(o, p)). lemma(329, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(n, l, o), [306, el(l, o)]):el(n, o)). lemma(330, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [329]):goal). lemma(331, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(311), [325, 330]):goal). lemma(332, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(268), [305, 331]):goal). lemma(333, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(334, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(i, s, m), [28, 333]):pl(i, m)). lemma(335, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, r, d, i), [6, 19, 334, 27]): (ep(d, i);el(m, r))). lemma(336, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(337, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, d, i), [67, ep(d, i)]):ep(e, i)). lemma(338, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, i), [337]):ep(i, e)). lemma(339, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, i), [ep(a, e), 337]):ep(a, i)). lemma(340, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, i), [339]):ep(i, a)). lemma(341, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, i), [58, 339]):ep(c, i)). lemma(342, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, i), [341]):ep(i, c)). lemma(343, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(h, a, i), [237, 339]):ep(h, i)). lemma(344, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(psym(h, i), [343]):ep(i, h)). lemma(345, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, p), [336, 17]):pl(i, p)). lemma(346, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, d, o), [336, 72]):pl(i, o)). lemma(347, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(o), [41, 24, 246, 346]):goal). lemma(348, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(349, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(s, m, r), [333, el(m, r)]):el(s, r)). lemma(350, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal3, [349]):goal). lemma(351, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(335), [347, 350]):goal). lemma(352, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(248), [332, 351]):goal). lemma(353, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(354, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(p, l, q), [234, el(l, q)]):el(p, q)). lemma(355, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(goal2, [354]):goal). lemma(356, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(236), [352, 355]):goal). lemma(357, [ep(d, e), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(79), [233, 356]):goal). lemma(358, [el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(359, [el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(f, m, r), [22, el(m, r)]):pl(f, r)). lemma(360, [el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(i, r, m), [27, 358]):pl(i, m)). lemma(361, [el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(r, s, c, i), [11, 64, 27, 28]): (ep(c, i);el(r, s))). lemma(362, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(363, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, c, i), [ep(a, c), ep(c, i)]):ep(a, i)). lemma(364, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, i), [363]):ep(i, a)). lemma(365, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, i), [53, 363]):ep(e, i)). lemma(366, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, i), [365]):ep(i, e)). lemma(367, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, c, o), [362, 8]):pl(i, o)). lemma(368, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, c, l), [362, 21]):pl(i, l)). lemma(369, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, c, q), [362, 63]):pl(i, q)). lemma(370, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(r, s, c, f), [11, 64, 359, 20]): (ep(c, f);el(r, s))). lemma(371, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, f), [ep(c, f)]):ep(f, c)). lemma(372, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, c, f), [ep(a, c), ep(c, f)]):ep(a, f)). lemma(373, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, f), [372]):ep(f, a)). lemma(374, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, f), [53, 372]):ep(e, f)). lemma(375, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, f), [374]):ep(f, e)). lemma(376, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, f), [362, ep(c, f)]):ep(i, f)). lemma(377, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, f), [376]):ep(f, i)). lemma(378, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, f, n), [ep(c, f), 15]):pl(c, n)). lemma(379, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, c, n), [ep(a, c), 378]):pl(a, n)). lemma(380, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, a, n), [53, 379]):pl(e, n)). lemma(381, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, c, n), [362, 378]):pl(i, n)). lemma(382, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, c, o), [371, 8]):pl(f, o)). lemma(383, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, c, l), [371, 21]):pl(f, l)). lemma(384, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, c, q), [371, 63]):pl(f, q)). lemma(385, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, n, a, b), [5, 379, 13, 7]): (ep(a, b);el(l, n))). lemma(386, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(387, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, b), [53, ep(a, b)]):ep(e, b)). lemma(388, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, b), [387]):ep(b, e)). lemma(389, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, b), [58, ep(a, b)]):ep(c, b)). lemma(390, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, b), [389]):ep(b, c)). lemma(391, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, b), [362, 389]):ep(i, b)). lemma(392, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, b), [391]):ep(b, i)). lemma(393, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, c, b), [371, 389]):ep(f, b)). lemma(394, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, b), [393]):ep(b, f)). lemma(395, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(396, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(e, a, p), [53, 395]):pl(e, p)). lemma(397, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(c, a, p), [58, 395]):pl(c, p)). lemma(398, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(i, c, p), [362, 397]):pl(i, p)). lemma(399, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(f, c, p), [371, 397]):pl(f, p)). lemma(400, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, q), [386, 10]):pl(b, q)). lemma(401, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, s), [386, 12]):pl(b, s)). lemma(402, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, m), [386, pl(a, m)]):pl(b, m)). lemma(403, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, o), [386, 54]):pl(b, o)). lemma(404, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(b, a, r), [386, 61]):pl(b, r)). lemma(405, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(m, p, d, e), [6, 17, 14, 396]): (ep(d, e);el(m, p))). lemma(406, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(407, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, e, d), [ep(a, e), 406]):ep(a, d)). lemma(408, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, d), [407]):ep(d, a)). lemma(409, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, d), [58, 407]):ep(c, d)). lemma(410, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, d), [409]):ep(d, c)). lemma(411, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, d), [362, 409]):ep(i, d)). lemma(412, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, d), [411]):ep(d, i)). lemma(413, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, c, d), [371, 409]):ep(f, d)). lemma(414, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, d), [413]):ep(d, f)). lemma(415, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(b, a, d), [386, 407]):ep(b, d)). lemma(416, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, d), [415]):ep(d, b)). lemma(417, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(418, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(419, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, l), [ep(d, e), 55]):pl(d, l)). lemma(420, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, s), [ep(d, e), 56]):pl(d, s)). lemma(421, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(d, e, n), [ep(d, e), 380]):pl(d, n)). lemma(422, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(n, o, b, g), [7, 403, 23, 24]): (ep(b, g);el(n, o))). lemma(423, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(424, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(425, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [424]):ep(g, a)). lemma(426, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 424]):ep(e, g)). lemma(427, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [426]):ep(g, e)). lemma(428, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 424]):ep(c, g)). lemma(429, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [428]):ep(g, c)). lemma(430, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, g), [362, 428]):ep(i, g)). lemma(431, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, g), [430]):ep(g, i)). lemma(432, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, c, g), [371, 428]):ep(f, g)). lemma(433, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [432]):ep(g, f)). lemma(434, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(d, e, g), [ep(d, e), 426]):ep(d, g)). lemma(435, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(d, g), [434]):ep(g, d)). lemma(436, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [423, 9]):pl(g, p)). lemma(437, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(p), [42, 436, 25, 398]):goal). lemma(438, [el(n, o), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(439, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(422), [437, 438]):goal). lemma(440, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(441, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(r, m, p), [358, el(m, p)]):el(r, p)). lemma(442, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(r, p), [441]):el(p, r)). lemma(443, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(h, p, m), [25, 440]):pl(h, m)). lemma(444, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(h, p, r), [25, 442]):pl(h, r)). lemma(445, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(n, o, b, g), [7, 403, 23, 24]): (ep(b, g);el(n, o))). lemma(446, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(447, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(448, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [447]):ep(g, a)). lemma(449, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 447]):ep(e, g)). lemma(450, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [449]):ep(g, e)). lemma(451, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, 447]):ep(c, g)). lemma(452, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [451]):ep(g, c)). lemma(453, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, g), [362, 451]):ep(i, g)). lemma(454, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, g), [453]):ep(g, i)). lemma(455, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, c, g), [371, 451]):ep(f, g)). lemma(456, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [455]):ep(g, f)). lemma(457, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [446, 9]):pl(g, p)). lemma(458, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(p), [42, 457, 25, 398]):goal). lemma(459, [el(n, o), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(460, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(445), [458, 459]):goal). lemma(461, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(405), [439, 460]):goal). lemma(462, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(463, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lcon(g, n, l), [23, 462]):pl(g, l)). lemma(464, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(unique(l, o, a, g), [5, 54, 463, 24]): (ep(a, g);el(l, o))). lemma(465, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(466, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, ep(a, g)]):ep(e, g)). lemma(467, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(e, g), [466]):ep(g, e)). lemma(468, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(c, a, g), [58, ep(a, g)]):ep(c, g)). lemma(469, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(c, g), [468]):ep(g, c)). lemma(470, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(i, c, g), [362, 468]):ep(i, g)). lemma(471, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(i, g), [470]):ep(g, i)). lemma(472, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ptra(f, c, g), [371, 468]):ep(f, g)). lemma(473, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(psym(f, g), [472]):ep(g, f)). lemma(474, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(pcon(g, a, q), [465, 10]):pl(g, q)). lemma(475, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal4(q), [43, 474, 26, 369]):goal). lemma(476, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(477, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(ltra(n, l, o), [462, el(l, o)]):el(n, o)). lemma(478, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal1, [477]):goal). lemma(479, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(464), [475, 478]):goal). lemma(480, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(385), [461, 479]):goal). lemma(481, [el(r, s), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(482, [el(r, s), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal3, [481]):goal). lemma(483, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(370), [480, 482]):goal). lemma(484, [el(r, s), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(485, [el(r, s), el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(goal3, [484]):goal). lemma(486, [el(m, r), ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(361), [483, 485]):goal). lemma(487, [ep(a, c), ep(a, e), pl(a, m)], ap(or_elim(66), [357, 486]):goal). lemma(488, [el(l, o), ep(a, e), pl(a, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(489, [el(l, o), ep(a, e), pl(a, m)], ap(lcon(b, l, o), [13, el(l, o)]):pl(b, o)). lemma(490, [el(l, o), ep(a, e), pl(a, m)], ap(lcon(g, o, l), [24, 488]):pl(g, l)). lemma(491, [el(l, o), ep(a, e), pl(a, m)], ap(unique(n, l, b, g), [7, 13, 23, 490]): (ep(b, g);el(n, l))). lemma(492, [ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(493, [ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(g, b, p), [492, 9]):pl(g, p)). lemma(494, [ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(s, m, a, f), [12, pl(a, m), 20, 22]): (ep(a, f);el(s, m))). lemma(495, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, f), [ep(a, f)]):ep(f, a)). lemma(496, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, f), [53, ep(a, f)]):ep(e, f)). lemma(497, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, f), [496]):ep(f, e)). lemma(498, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(a, f, n), [ep(a, f), 15]):pl(a, n)). lemma(499, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(e, a, n), [53, 498]):pl(e, n)). lemma(500, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(f, a, l), [495, 5]):pl(f, l)). lemma(501, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(f, a, q), [495, 10]):pl(f, q)). lemma(502, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(f, a, o), [495, 54]):pl(f, o)). lemma(503, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(l, n, a, b), [5, 498, 13, 7]): (ep(a, b);el(l, n))). lemma(504, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(505, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, b), [53, ep(a, b)]):ep(e, b)). lemma(506, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, b), [505]):ep(b, e)). lemma(507, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, a), [492, 504]):ep(g, a)). lemma(508, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, a), [507]):ep(a, g)). lemma(509, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, g), [53, 508]):ep(e, g)). lemma(510, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, g), [509]):ep(g, e)). lemma(511, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, b), [495, ep(a, b)]):ep(f, b)). lemma(512, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, b), [511]):ep(b, f)). lemma(513, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, f), [492, 512]):ep(g, f)). lemma(514, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, f), [513]):ep(f, g)). lemma(515, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(516, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(e, a, p), [53, 515]):pl(e, p)). lemma(517, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(f, a, p), [495, 515]):pl(f, p)). lemma(518, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(b, a, q), [504, 10]):pl(b, q)). lemma(519, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(g, b, q), [492, 518]):pl(g, q)). lemma(520, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(b, a, s), [504, 12]):pl(b, s)). lemma(521, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(g, b, s), [492, 520]):pl(g, s)). lemma(522, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(b, a, m), [504, pl(a, m)]):pl(b, m)). lemma(523, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(g, b, m), [492, 522]):pl(g, m)). lemma(524, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(m, p, d, e), [6, 17, 14, 516]): (ep(d, e);el(m, p))). lemma(525, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(526, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(a, e, d), [ep(a, e), 525]):ep(a, d)). lemma(527, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, d), [526]):ep(d, a)). lemma(528, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, d), [495, 526]):ep(f, d)). lemma(529, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, d), [528]):ep(d, f)). lemma(530, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(b, a, d), [504, 526]):ep(b, d)). lemma(531, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, d), [530]):ep(d, b)). lemma(532, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, d), [492, 530]):ep(g, d)). lemma(533, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, d), [532]):ep(d, g)). lemma(534, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(535, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(536, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(d, e, l), [ep(d, e), 55]):pl(d, l)). lemma(537, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(d, e, s), [ep(d, e), 56]):pl(d, s)). lemma(538, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(d, e, n), [ep(d, e), 499]):pl(d, n)). lemma(539, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(e, d, r), [525, 19]):pl(e, r)). lemma(540, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(a, e, r), [ep(a, e), 539]):pl(a, r)). lemma(541, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(f, a, r), [495, 540]):pl(f, r)). lemma(542, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(b, a, r), [504, 540]):pl(b, r)). lemma(543, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(g, b, r), [492, 542]):pl(g, r)). lemma(544, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(l, r, a, c), [5, 540, 21, 11]): (ep(a, c);el(l, r))). lemma(545, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(546, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, c), [53, ep(a, c)]):ep(e, c)). lemma(547, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, c), [546]):ep(c, e)). lemma(548, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, c), [495, ep(a, c)]):ep(f, c)). lemma(549, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, c), [548]):ep(c, f)). lemma(550, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(b, a, c), [504, ep(a, c)]):ep(b, c)). lemma(551, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, c), [550]):ep(c, b)). lemma(552, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, c), [492, 550]):ep(g, c)). lemma(553, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, c), [552]):ep(c, g)). lemma(554, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(d, e, c), [ep(d, e), 546]):ep(d, c)). lemma(555, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(d, c), [554]):ep(c, d)). lemma(556, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(c, a, q), [545, 10]):pl(c, q)). lemma(557, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(c, a, s), [545, 12]):pl(c, s)). lemma(558, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(c, a, m), [545, pl(a, m)]):pl(c, m)). lemma(559, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(c, a, n), [545, 498]):pl(c, n)). lemma(560, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(c, a, p), [545, 515]):pl(c, p)). lemma(561, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(p, q, b, h), [9, 518, 25, 26]): (ep(b, h);el(p, q))). lemma(562, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(563, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, h), [492, ep(b, h)]):ep(g, h)). lemma(564, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, h), [563]):ep(h, g)). lemma(565, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(566, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, h), [565]):ep(h, a)). lemma(567, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, h), [53, 565]):ep(e, h)). lemma(568, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, h), [567]):ep(h, e)). lemma(569, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, h), [495, 565]):ep(f, h)). lemma(570, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, h), [569]):ep(h, f)). lemma(571, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(d, e, h), [ep(d, e), 567]):ep(d, h)). lemma(572, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(d, h), [571]):ep(h, d)). lemma(573, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(c, a, h), [545, 565]):ep(c, h)). lemma(574, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(c, h), [573]):ep(h, c)). lemma(575, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, n), [562, 7]):pl(h, n)). lemma(576, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, l), [562, 13]):pl(h, l)). lemma(577, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, o), [562, 489]):pl(h, o)). lemma(578, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, s), [562, 520]):pl(h, s)). lemma(579, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal4(s), [45, 521, 578, 28]):goal). lemma(580, [el(p, q), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal2, [el(p, q)]):goal). lemma(581, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(561), [579, 580]):goal). lemma(582, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(583, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ltra(o, l, r), [488, el(l, r)]):el(o, r)). lemma(584, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(o, r), [583]):el(r, o)). lemma(585, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lcon(i, r, l), [27, 582]):pl(i, l)). lemma(586, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lcon(i, r, o), [27, 584]):pl(i, o)). lemma(587, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(l, s, a, i), [5, 12, 585, 28]): (ep(a, i);el(l, s))). lemma(588, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(589, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, i), [53, ep(a, i)]):ep(e, i)). lemma(590, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, i), [589]):ep(i, e)). lemma(591, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, i), [495, ep(a, i)]):ep(f, i)). lemma(592, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, i), [591]):ep(i, f)). lemma(593, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(b, a, i), [504, ep(a, i)]):ep(b, i)). lemma(594, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, i), [593]):ep(i, b)). lemma(595, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, i), [492, 593]):ep(g, i)). lemma(596, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, i), [595]):ep(i, g)). lemma(597, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(d, e, i), [ep(d, e), 589]):ep(d, i)). lemma(598, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(d, i), [597]):ep(i, d)). lemma(599, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(i, a, q), [588, 10]):pl(i, q)). lemma(600, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal4(q), [43, 519, 26, 599]):goal). lemma(601, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(602, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ltra(o, l, s), [488, el(l, s)]):el(o, s)). lemma(603, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(o, s), [602]):el(s, o)). lemma(604, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ltra(r, l, s), [582, el(l, s)]):el(r, s)). lemma(605, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(r, s), [604]):el(s, r)). lemma(606, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal3, [605]):goal). lemma(607, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(587), [600, 606]):goal). lemma(608, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(544), [581, 607]):goal). lemma(609, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(610, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lcon(h, p, m), [25, 609]):pl(h, m)). lemma(611, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(p, q, b, h), [9, 518, 25, 26]): (ep(b, h);el(p, q))). lemma(612, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(613, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(g, b, h), [492, ep(b, h)]):ep(g, h)). lemma(614, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(g, h), [613]):ep(h, g)). lemma(615, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(616, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(a, h), [615]):ep(h, a)). lemma(617, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(e, a, h), [53, 615]):ep(e, h)). lemma(618, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(e, h), [617]):ep(h, e)). lemma(619, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ptra(f, a, h), [495, 615]):ep(f, h)). lemma(620, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(f, h), [619]):ep(h, f)). lemma(621, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, n), [612, 7]):pl(h, n)). lemma(622, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, l), [612, 13]):pl(h, l)). lemma(623, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, o), [612, 489]):pl(h, o)). lemma(624, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(h, b, s), [612, 520]):pl(h, s)). lemma(625, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal4(s), [45, 521, 624, 28]):goal). lemma(626, [el(p, q), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal2, [el(p, q)]):goal). lemma(627, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(611), [625, 626]):goal). lemma(628, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(524), [608, 627]):goal). lemma(629, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(630, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ltra(o, l, n), [488, el(l, n)]):el(o, n)). lemma(631, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(o, n), [630]):el(n, o)). lemma(632, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal1, [631]):goal). lemma(633, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(503), [628, 632]):goal). lemma(634, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(s, m), [el(s, m)]):el(m, s)). lemma(635, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lcon(d, m, s), [6, 634]):pl(d, s)). lemma(636, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lcon(i, s, m), [28, el(s, m)]):pl(i, m)). lemma(637, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(unique(m, r, d, i), [6, 19, 636, 27]): (ep(d, i);el(m, r))). lemma(638, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(639, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(pcon(i, d, p), [638, 17]):pl(i, p)). lemma(640, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal4(p), [42, 493, 25, 639]):goal). lemma(641, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(642, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(ltra(s, m, r), [el(s, m), el(m, r)]):el(s, r)). lemma(643, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(goal3, [642]):goal). lemma(644, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(637), [640, 643]):goal). lemma(645, [ep(b, g), el(l, o), ep(a, e), pl(a, m)], ap(or_elim(494), [633, 644]):goal). lemma(646, [el(n, l), el(l, o), ep(a, e), pl(a, m)], ap(lsym(n, l), [el(n, l)]):el(l, n)). lemma(647, [el(n, l), el(l, o), ep(a, e), pl(a, m)], ap(ltra(o, l, n), [488, 646]):el(o, n)). lemma(648, [el(n, l), el(l, o), ep(a, e), pl(a, m)], ap(lsym(o, n), [647]):el(n, o)). lemma(649, [el(n, l), el(l, o), ep(a, e), pl(a, m)], ap(goal1, [648]):goal). lemma(650, [el(l, o), ep(a, e), pl(a, m)], ap(or_elim(491), [645, 649]):goal). lemma(651, [ep(a, e), pl(a, m)], ap(or_elim(57), [487, 650]):goal). lemma(652, [el(q, m), pl(a, m)], ap(lsym(q, m), [el(q, m)]):el(m, q)). lemma(653, [el(q, m), pl(a, m)], ap(lcon(d, m, q), [6, 652]):pl(d, q)). lemma(654, [el(q, m), pl(a, m)], ap(lcon(f, m, q), [22, 652]):pl(f, q)). lemma(655, [el(q, m), pl(a, m)], ap(lcon(h, q, m), [26, el(q, m)]):pl(h, m)). lemma(656, [el(q, m), pl(a, m)], ap(unique(m, p, d, h), [6, 17, 655, 25]): (ep(d, h);el(m, p))). lemma(657, [ep(d, h), el(q, m), pl(a, m)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(658, [ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, r), [657, 19]):pl(h, r)). lemma(659, [ep(d, h), el(q, m), pl(a, m)], ap(unique(q, s, a, f), [10, 12, 654, 20]): (ep(a, f);el(q, s))). lemma(660, [ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, f), [ep(a, f)]):ep(f, a)). lemma(661, [ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(a, f, n), [ep(a, f), 15]):pl(a, n)). lemma(662, [ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(f, a, l), [660, 5]):pl(f, l)). lemma(663, [ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(l, n, a, b), [5, 661, 13, 7]): (ep(a, b);el(l, n))). lemma(664, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(665, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, a, b), [660, ep(a, b)]):ep(f, b)). lemma(666, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, b), [665]):ep(b, f)). lemma(667, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(668, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(f, a, p), [660, 667]):pl(f, p)). lemma(669, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(b, a, q), [664, 10]):pl(b, q)). lemma(670, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(b, a, s), [664, 12]):pl(b, s)). lemma(671, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(b, a, m), [664, pl(a, m)]):pl(b, m)). lemma(672, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(m, p, d, f), [6, 17, 22, 668]): (ep(d, f);el(m, p))). lemma(673, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(674, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, f), [657, ep(d, f)]):ep(h, f)). lemma(675, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, f), [674]):ep(f, h)). lemma(676, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(a, f, d), [ep(a, f), 673]):ep(a, d)). lemma(677, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, d), [676]):ep(d, a)). lemma(678, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, a), [657, 677]):ep(h, a)). lemma(679, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, a), [678]):ep(a, h)). lemma(680, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(b, a, d), [664, 676]):ep(b, d)). lemma(681, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, d), [680]):ep(d, b)). lemma(682, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, b), [657, 681]):ep(h, b)). lemma(683, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, b), [682]):ep(b, h)). lemma(684, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(685, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, n), [657, 684]):pl(h, n)). lemma(686, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(687, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, s), [657, 686]):pl(h, s)). lemma(688, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(d, f, l), [ep(d, f), 662]):pl(d, l)). lemma(689, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, l), [657, 688]):pl(h, l)). lemma(690, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(f, d, r), [673, 19]):pl(f, r)). lemma(691, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(a, f, r), [ep(a, f), 690]):pl(a, r)). lemma(692, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(b, a, r), [664, 691]):pl(b, r)). lemma(693, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(l, r, a, c), [5, 691, 21, 11]): (ep(a, c);el(l, r))). lemma(694, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(695, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, a, c), [660, ep(a, c)]):ep(f, c)). lemma(696, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, c), [695]):ep(c, f)). lemma(697, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(b, a, c), [664, ep(a, c)]):ep(b, c)). lemma(698, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, c), [697]):ep(c, b)). lemma(699, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(d, f, c), [ep(d, f), 695]):ep(d, c)). lemma(700, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, c), [699]):ep(c, d)). lemma(701, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, c), [657, 699]):ep(h, c)). lemma(702, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, c), [701]):ep(c, h)). lemma(703, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(704, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(f, a, o), [660, 703]):pl(f, o)). lemma(705, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(b, a, o), [664, 703]):pl(b, o)). lemma(706, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(d, f, o), [ep(d, f), 704]):pl(d, o)). lemma(707, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, o), [657, 706]):pl(h, o)). lemma(708, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(c, a, q), [694, 10]):pl(c, q)). lemma(709, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(c, a, s), [694, 12]):pl(c, s)). lemma(710, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(c, a, m), [694, pl(a, m)]):pl(c, m)). lemma(711, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(c, a, n), [694, 661]):pl(c, n)). lemma(712, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(c, a, p), [694, 667]):pl(c, p)). lemma(713, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(m, o, d, e), [6, 706, 14, 16]): (ep(d, e);el(m, o))). lemma(714, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(715, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, e), [657, ep(d, e)]):ep(h, e)). lemma(716, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, e), [715]):ep(e, h)). lemma(717, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, d, e), [673, ep(d, e)]):ep(f, e)). lemma(718, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, e), [717]):ep(e, f)). lemma(719, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(a, f, e), [ep(a, f), 717]):ep(a, e)). lemma(720, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, e), [719]):ep(e, a)). lemma(721, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(b, a, e), [664, 719]):ep(b, e)). lemma(722, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, e), [721]):ep(e, b)). lemma(723, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(c, a, e), [694, 719]):ep(c, e)). lemma(724, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(c, e), [723]):ep(e, c)). lemma(725, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(e, d, p), [714, 17]):pl(e, p)). lemma(726, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(e, d, r), [714, 19]):pl(e, r)). lemma(727, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(e, d, n), [714, 684]):pl(e, n)). lemma(728, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(e, d, s), [714, 686]):pl(e, s)). lemma(729, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(e, d, l), [714, 688]):pl(e, l)). lemma(730, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(n, o, b, g), [7, 705, 23, 24]): (ep(b, g);el(n, o))). lemma(731, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(732, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(733, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, g), [732]):ep(g, a)). lemma(734, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, a, g), [660, 732]):ep(f, g)). lemma(735, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, g), [734]):ep(g, f)). lemma(736, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(d, f, g), [ep(d, f), 734]):ep(d, g)). lemma(737, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, g), [736]):ep(g, d)). lemma(738, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, g), [657, 736]):ep(h, g)). lemma(739, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, g), [738]):ep(g, h)). lemma(740, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(c, a, g), [694, 732]):ep(c, g)). lemma(741, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(c, g), [740]):ep(g, c)). lemma(742, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(e, d, g), [714, 736]):ep(e, g)). lemma(743, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(e, g), [742]):ep(g, e)). lemma(744, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, b, p), [731, 9]):pl(g, p)). lemma(745, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, b, l), [731, 13]):pl(g, l)). lemma(746, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, b, q), [731, 669]):pl(g, q)). lemma(747, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, b, s), [731, 670]):pl(g, s)). lemma(748, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal4(s), [45, 747, 687, 28]):goal). lemma(749, [el(n, o), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal1, [el(n, o)]):goal). lemma(750, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(730), [748, 749]):goal). lemma(751, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(752, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(q, m, o), [el(q, m), el(m, o)]):el(q, o)). lemma(753, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(q, o), [752]):el(o, q)). lemma(754, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lcon(g, o, m), [24, 751]):pl(g, m)). lemma(755, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lcon(g, o, q), [24, 753]):pl(g, q)). lemma(756, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(m, n, d, g), [6, 684, 754, 23]): (ep(d, g);el(m, n))). lemma(757, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(758, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, g), [657, ep(d, g)]):ep(h, g)). lemma(759, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, g), [758]):ep(g, h)). lemma(760, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, d, g), [673, ep(d, g)]):ep(f, g)). lemma(761, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, g), [760]):ep(g, f)). lemma(762, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(a, f, g), [ep(a, f), 760]):ep(a, g)). lemma(763, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, g), [762]):ep(g, a)). lemma(764, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(b, a, g), [664, 762]):ep(b, g)). lemma(765, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, g), [764]):ep(g, b)). lemma(766, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(c, a, g), [694, 762]):ep(c, g)). lemma(767, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(c, g), [766]):ep(g, c)). lemma(768, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, d, p), [757, 17]):pl(g, p)). lemma(769, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, d, r), [757, 19]):pl(g, r)). lemma(770, [ep(d, g), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal4(r), [44, 769, 658, 27]):goal). lemma(771, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(772, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(q, m, n), [el(q, m), el(m, n)]):el(q, n)). lemma(773, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(q, n), [772]):el(n, q)). lemma(774, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(o, m, n), [751, el(m, n)]):el(o, n)). lemma(775, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(o, n), [774]):el(n, o)). lemma(776, [el(m, n), el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal1, [775]):goal). lemma(777, [el(m, o), ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(756), [770, 776]):goal). lemma(778, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(713), [750, 777]):goal). lemma(779, [el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(780, [el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lcon(i, r, l), [27, 779]):pl(i, l)). lemma(781, [el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(l, s, a, i), [5, 12, 780, 28]): (ep(a, i);el(l, s))). lemma(782, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(783, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(f, a, i), [660, ep(a, i)]):ep(f, i)). lemma(784, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(f, i), [783]):ep(i, f)). lemma(785, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(b, a, i), [664, ep(a, i)]):ep(b, i)). lemma(786, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(b, i), [785]):ep(i, b)). lemma(787, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(d, f, i), [ep(d, f), 783]):ep(d, i)). lemma(788, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, i), [787]):ep(i, d)). lemma(789, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, i), [657, 787]):ep(h, i)). lemma(790, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, i), [789]):ep(i, h)). lemma(791, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(i, a, q), [782, 10]):pl(i, q)). lemma(792, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(i, a, m), [782, pl(a, m)]):pl(i, m)). lemma(793, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(i, a, n), [782, 661]):pl(i, n)). lemma(794, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal4(n), [40, 23, 685, 793]):goal). lemma(795, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(796, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(r, l, s), [779, el(l, s)]):el(r, s)). lemma(797, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(r, s), [796]):el(s, r)). lemma(798, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal3, [797]):goal). lemma(799, [el(l, r), ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(781), [794, 798]):goal). lemma(800, [ep(d, f), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(693), [778, 799]):goal). lemma(801, [el(m, p), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(802, [el(m, p), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(q, m, p), [el(q, m), el(m, p)]):el(q, p)). lemma(803, [el(m, p), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(q, p), [802]):el(p, q)). lemma(804, [el(m, p), ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal2, [803]):goal). lemma(805, [ep(a, b), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(672), [800, 804]):goal). lemma(806, [el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(807, [el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lcon(c, l, n), [21, el(l, n)]):pl(c, n)). lemma(808, [el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lcon(g, n, l), [23, 806]):pl(g, l)). lemma(809, [el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(unique(o, l, c, g), [8, 21, 24, 808]): (ep(c, g);el(o, l))). lemma(810, [ep(c, g), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(psym(c, g), [ep(c, g)]):ep(g, c)). lemma(811, [ep(c, g), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(pcon(g, c, r), [810, 11]):pl(g, r)). lemma(812, [ep(c, g), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal4(r), [44, 811, 658, 27]):goal). lemma(813, [el(o, l), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(lsym(o, l), [el(o, l)]):el(l, o)). lemma(814, [el(o, l), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(ltra(n, l, o), [806, 813]):el(n, o)). lemma(815, [el(o, l), el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(goal1, [814]):goal). lemma(816, [el(l, n), ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(809), [812, 815]):goal). lemma(817, [ep(a, f), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(663), [805, 816]):goal). lemma(818, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lsym(q, s), [el(q, s)]):el(s, q)). lemma(819, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ltra(m, q, s), [652, el(q, s)]):el(m, s)). lemma(820, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lsym(m, s), [819]):el(s, m)). lemma(821, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lcon(d, m, s), [6, 819]):pl(d, s)). lemma(822, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, s), [657, 821]):pl(h, s)). lemma(823, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lcon(e, m, s), [14, 819]):pl(e, s)). lemma(824, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lcon(i, s, q), [28, 818]):pl(i, q)). lemma(825, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lcon(i, s, m), [28, 820]):pl(i, m)). lemma(826, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(unique(m, r, d, i), [6, 19, 825, 27]): (ep(d, i);el(m, r))). lemma(827, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(828, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ptra(h, d, i), [657, ep(d, i)]):ep(h, i)). lemma(829, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(psym(h, i), [828]):ep(i, h)). lemma(830, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(pcon(i, d, p), [827, 17]):pl(i, p)). lemma(831, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(line(a, g), [29, 35]): (dom(A), pl(a, A), pl(g, A))). lemma(832, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(833, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(line(d, g), [30, 35]): (dom(A), pl(d, A), pl(g, A))). lemma(834, [ (dom(par(1)), pl(d, par(1)), pl(g, par(1))), (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lref(d, par(1)), [pl(d, par(1))]):el(par(1), par(1))). lemma(835, [ (dom(par(1)), pl(d, par(1)), pl(g, par(1))), (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(pcon(h, d, par(1)), [657, pl(d, par(1))]):pl(h, par(1))). lemma(836, [ (dom(par(1)), pl(d, par(1)), pl(g, par(1))), (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(pcon(i, d, par(1)), [827, pl(d, par(1))]):pl(i, par(1))). lemma(837, [ (dom(par(1)), pl(d, par(1)), pl(g, par(1))), (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(goal4(par(1)), [834, pl(g, par(1)), 835, 836]):goal). lemma(838, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ex_elim(833), 837):goal). lemma(839, [ep(d, i), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ex_elim(831), 838):goal). lemma(840, [el(m, r), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(841, [el(m, r), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ltra(q, m, r), [el(q, m), el(m, r)]):el(q, r)). lemma(842, [el(m, r), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(lsym(q, r), [841]):el(r, q)). lemma(843, [el(m, r), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(ltra(s, q, r), [818, 841]):el(s, r)). lemma(844, [el(m, r), el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(goal3, [843]):goal). lemma(845, [el(q, s), ep(d, h), el(q, m), pl(a, m)], ap(or_elim(826), [839, 844]):goal). lemma(846, [ep(d, h), el(q, m), pl(a, m)], ap(or_elim(659), [817, 845]):goal). lemma(847, [el(m, p), el(q, m), pl(a, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(848, [el(m, p), el(q, m), pl(a, m)], ap(ltra(q, m, p), [el(q, m), el(m, p)]):el(q, p)). lemma(849, [el(m, p), el(q, m), pl(a, m)], ap(lsym(q, p), [848]):el(p, q)). lemma(850, [el(m, p), el(q, m), pl(a, m)], ap(goal2, [849]):goal). lemma(851, [el(q, m), pl(a, m)], ap(or_elim(656), [846, 850]):goal). lemma(852, [pl(a, m)], ap(or_elim(52), [651, 851]):goal). lemma(853, [pl(b, m)], ap(unique(m, p, d, b), [6, 17, pl(b, m), 9]): (ep(d, b);el(m, p))). lemma(854, [ep(d, b), pl(b, m)], ap(psym(d, b), [ep(d, b)]):ep(b, d)). lemma(855, [ep(d, b), pl(b, m)], ap(pcon(d, b, n), [ep(d, b), 7]):pl(d, n)). lemma(856, [ep(d, b), pl(b, m)], ap(pcon(d, b, l), [ep(d, b), 13]):pl(d, l)). lemma(857, [ep(d, b), pl(b, m)], ap(pcon(b, d, r), [854, 19]):pl(b, r)). lemma(858, [ep(d, b), pl(b, m)], ap(unique(m, n, d, f), [6, 855, 22, 15]): (ep(d, f);el(m, n))). lemma(859, [ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(860, [ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, f), [854, ep(d, f)]):ep(b, f)). lemma(861, [ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, f), [860]):ep(f, b)). lemma(862, [ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(863, [ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, d, s), [854, 862]):pl(b, s)). lemma(864, [ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, p), [859, 17]):pl(f, p)). lemma(865, [ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, r), [859, 19]):pl(f, r)). lemma(866, [ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, l), [859, 856]):pl(f, l)). lemma(867, [ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, s, a, b), [5, 12, 13, 863]): (ep(a, b);el(l, s))). lemma(868, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(869, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, a), [ep(d, b), 868]):ep(d, a)). lemma(870, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, a), [869]):ep(a, d)). lemma(871, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, a), [859, 869]):ep(f, a)). lemma(872, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, a), [871]):ep(a, f)). lemma(873, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(874, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(875, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, m), [ep(a, b), pl(b, m)]):pl(a, m)). lemma(876, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, r), [ep(a, b), 857]):pl(a, r)). lemma(877, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, a, q), [868, 10]):pl(b, q)). lemma(878, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, b, q), [ep(d, b), 877]):pl(d, q)). lemma(879, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, q), [859, 878]):pl(f, q)). lemma(880, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, r, a, c), [5, 876, 21, 11]): (ep(a, c);el(l, r))). lemma(881, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(882, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, a, c), [868, ep(a, c)]):ep(b, c)). lemma(883, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, c), [882]):ep(c, b)). lemma(884, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, c), [ep(d, b), 882]):ep(d, c)). lemma(885, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, c), [884]):ep(c, d)). lemma(886, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, c), [859, 884]):ep(f, c)). lemma(887, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, c), [886]):ep(c, f)). lemma(888, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(889, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, a, o), [868, 888]):pl(b, o)). lemma(890, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, b, o), [ep(d, b), 889]):pl(d, o)). lemma(891, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, o), [859, 890]):pl(f, o)). lemma(892, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, q), [881, 10]):pl(c, q)). lemma(893, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, s), [881, 12]):pl(c, s)). lemma(894, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, n), [881, 873]):pl(c, n)). lemma(895, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, p), [881, 874]):pl(c, p)). lemma(896, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, m), [881, 875]):pl(c, m)). lemma(897, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, q, d, e), [6, 878, 14, 18]): (ep(d, e);el(m, q))). lemma(898, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(899, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, e), [854, ep(d, e)]):ep(b, e)). lemma(900, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, e), [899]):ep(e, b)). lemma(901, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, e), [859, ep(d, e)]):ep(f, e)). lemma(902, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, e), [901]):ep(e, f)). lemma(903, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, e), [ep(a, b), 899]):ep(a, e)). lemma(904, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, e), [903]):ep(e, a)). lemma(905, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, e), [881, 903]):ep(c, e)). lemma(906, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, e), [905]):ep(e, c)). lemma(907, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, p), [898, 17]):pl(e, p)). lemma(908, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, r), [898, 19]):pl(e, r)). lemma(909, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, n), [898, 855]):pl(e, n)). lemma(910, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, l), [898, 856]):pl(e, l)). lemma(911, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, s), [898, 862]):pl(e, s)). lemma(912, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(n, o, b, g), [7, 889, 23, 24]): (ep(b, g);el(n, o))). lemma(913, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(914, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), ep(b, g)]):ep(d, g)). lemma(915, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [914]):ep(g, d)). lemma(916, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 914]):ep(f, g)). lemma(917, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [916]):ep(g, f)). lemma(918, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(919, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [918]):ep(g, a)). lemma(920, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, g), [881, 918]):ep(c, g)). lemma(921, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [920]):ep(g, c)). lemma(922, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [898, 914]):ep(e, g)). lemma(923, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [922]):ep(g, e)). lemma(924, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, p), [913, 9]):pl(g, p)). lemma(925, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, l), [913, 13]):pl(g, l)). lemma(926, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, m), [913, pl(b, m)]):pl(g, m)). lemma(927, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, r), [913, 857]):pl(g, r)). lemma(928, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, s), [913, 863]):pl(g, s)). lemma(929, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, q), [913, 877]):pl(g, q)). lemma(930, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(p, q, b, h), [9, 877, 25, 26]): (ep(b, h);el(p, q))). lemma(931, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(932, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, h), [ep(d, b), ep(b, h)]):ep(d, h)). lemma(933, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, h), [932]):ep(h, d)). lemma(934, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, h), [859, 932]):ep(f, h)). lemma(935, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, h), [934]):ep(h, f)). lemma(936, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(937, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, h), [936]):ep(h, a)). lemma(938, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, h), [881, 936]):ep(c, h)). lemma(939, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, h), [938]):ep(h, c)). lemma(940, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, h), [898, 932]):ep(e, h)). lemma(941, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, h), [940]):ep(h, e)). lemma(942, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(g, b, h), [913, ep(b, h)]):ep(g, h)). lemma(943, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(g, h), [942]):ep(h, g)). lemma(944, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, b, n), [931, 7]):pl(h, n)). lemma(945, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, b, l), [931, 13]):pl(h, l)). lemma(946, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, b, m), [931, pl(b, m)]):pl(h, m)). lemma(947, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, b, r), [931, 857]):pl(h, r)). lemma(948, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(r), [44, 927, 947, 27]):goal). lemma(949, [el(p, q), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal2, [el(p, q)]):goal). lemma(950, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(930), [948, 949]):goal). lemma(951, [el(n, o), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(952, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(912), [950, 951]):goal). lemma(953, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(954, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(h, q, m), [26, 953]):pl(h, m)). lemma(955, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, p, d, h), [6, 17, 954, 25]): (ep(d, h);el(m, p))). lemma(956, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(957, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, h), [854, ep(d, h)]):ep(b, h)). lemma(958, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, h), [957]):ep(h, b)). lemma(959, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, h), [859, ep(d, h)]):ep(f, h)). lemma(960, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, h), [959]):ep(h, f)). lemma(961, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, h), [ep(a, b), 957]):ep(a, h)). lemma(962, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, h), [961]):ep(h, a)). lemma(963, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, h), [881, 961]):ep(c, h)). lemma(964, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, h), [963]):ep(h, c)). lemma(965, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, r), [956, 19]):pl(h, r)). lemma(966, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, n), [956, 855]):pl(h, n)). lemma(967, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, l), [956, 856]):pl(h, l)). lemma(968, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, s), [956, 862]):pl(h, s)). lemma(969, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, o), [956, 890]):pl(h, o)). lemma(970, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, o, d, e), [6, 890, 14, 16]): (ep(d, e);el(m, o))). lemma(971, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(972, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, e), [854, ep(d, e)]):ep(b, e)). lemma(973, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, e), [972]):ep(e, b)). lemma(974, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, e), [859, ep(d, e)]):ep(f, e)). lemma(975, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, e), [974]):ep(e, f)). lemma(976, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, e), [ep(a, b), 972]):ep(a, e)). lemma(977, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, e), [976]):ep(e, a)). lemma(978, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, e), [881, 976]):ep(c, e)). lemma(979, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, e), [978]):ep(e, c)). lemma(980, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(h, d, e), [956, ep(d, e)]):ep(h, e)). lemma(981, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(h, e), [980]):ep(e, h)). lemma(982, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, p), [971, 17]):pl(e, p)). lemma(983, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, r), [971, 19]):pl(e, r)). lemma(984, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, n), [971, 855]):pl(e, n)). lemma(985, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, l), [971, 856]):pl(e, l)). lemma(986, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, s), [971, 862]):pl(e, s)). lemma(987, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(n, o, b, g), [7, 889, 23, 24]): (ep(b, g);el(n, o))). lemma(988, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(989, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), ep(b, g)]):ep(d, g)). lemma(990, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [989]):ep(g, d)). lemma(991, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 989]):ep(f, g)). lemma(992, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [991]):ep(g, f)). lemma(993, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(994, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [993]):ep(g, a)). lemma(995, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, g), [881, 993]):ep(c, g)). lemma(996, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [995]):ep(g, c)). lemma(997, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(h, d, g), [956, 989]):ep(h, g)). lemma(998, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(h, g), [997]):ep(g, h)). lemma(999, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [971, 989]):ep(e, g)). lemma(1000, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [999]):ep(g, e)). lemma(1001, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, p), [988, 9]):pl(g, p)). lemma(1002, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, l), [988, 13]):pl(g, l)). lemma(1003, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, m), [988, pl(b, m)]):pl(g, m)). lemma(1004, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, r), [988, 857]):pl(g, r)). lemma(1005, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(r), [44, 1004, 965, 27]):goal). lemma(1006, [el(n, o), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1007, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(987), [1005, 1006]):goal). lemma(1008, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1009, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(q, m, o), [953, el(m, o)]):el(q, o)). lemma(1010, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(q, o), [1009]):el(o, q)). lemma(1011, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(g, o, m), [24, 1008]):pl(g, m)). lemma(1012, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(g, o, q), [24, 1010]):pl(g, q)). lemma(1013, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, n, d, g), [6, 855, 1011, 23]): (ep(d, g);el(m, n))). lemma(1014, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(1015, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, g), [854, ep(d, g)]):ep(b, g)). lemma(1016, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [1015]):ep(g, b)). lemma(1017, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, ep(d, g)]):ep(f, g)). lemma(1018, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1017]):ep(g, f)). lemma(1019, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), 1015]):ep(a, g)). lemma(1020, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [1019]):ep(g, a)). lemma(1021, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, g), [881, 1019]):ep(c, g)). lemma(1022, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [1021]):ep(g, c)). lemma(1023, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(h, d, g), [956, ep(d, g)]):ep(h, g)). lemma(1024, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(h, g), [1023]):ep(g, h)). lemma(1025, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, p), [1014, 17]):pl(g, p)). lemma(1026, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, r), [1014, 19]):pl(g, r)). lemma(1027, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(r), [44, 1026, 965, 27]):goal). lemma(1028, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(1029, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(q, m, n), [953, el(m, n)]):el(q, n)). lemma(1030, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(q, n), [1029]):el(n, q)). lemma(1031, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(o, m, n), [1008, el(m, n)]):el(o, n)). lemma(1032, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(o, n), [1031]):el(n, o)). lemma(1033, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [1032]):goal). lemma(1034, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1013), [1027, 1033]):goal). lemma(1035, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(970), [1007, 1034]):goal). lemma(1036, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(1037, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(q, m, p), [953, el(m, p)]):el(q, p)). lemma(1038, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(q, p), [1037]):el(p, q)). lemma(1039, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal2, [1038]):goal). lemma(1040, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(955), [1035, 1039]):goal). lemma(1041, [ep(a, c), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(897), [952, 1040]):goal). lemma(1042, [el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(1043, [el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(i, r, l), [27, 1042]):pl(i, l)). lemma(1044, [el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, s, a, i), [5, 12, 1043, 28]): (ep(a, i);el(l, s))). lemma(1045, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(1046, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, a, i), [868, ep(a, i)]):ep(b, i)). lemma(1047, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, i), [1046]):ep(i, b)). lemma(1048, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, i), [ep(d, b), 1046]):ep(d, i)). lemma(1049, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, i), [1048]):ep(i, d)). lemma(1050, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, i), [859, 1048]):ep(f, i)). lemma(1051, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, i), [1050]):ep(i, f)). lemma(1052, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, q), [1045, 10]):pl(i, q)). lemma(1053, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, n), [1045, 873]):pl(i, n)). lemma(1054, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, p), [1045, 874]):pl(i, p)). lemma(1055, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, m), [1045, 875]):pl(i, m)). lemma(1056, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, q, d, e), [6, 878, 14, 18]): (ep(d, e);el(m, q))). lemma(1057, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(1058, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, e), [854, ep(d, e)]):ep(b, e)). lemma(1059, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, e), [1058]):ep(e, b)). lemma(1060, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, e), [859, ep(d, e)]):ep(f, e)). lemma(1061, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, e), [1060]):ep(e, f)). lemma(1062, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, e), [ep(a, b), 1058]):ep(a, e)). lemma(1063, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, e), [1062]):ep(e, a)). lemma(1064, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, e), [1045, 1062]):ep(i, e)). lemma(1065, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, e), [1064]):ep(e, i)). lemma(1066, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(1067, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, d, o), [854, 1066]):pl(b, o)). lemma(1068, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, o), [859, 1066]):pl(f, o)). lemma(1069, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, o), [ep(a, b), 1067]):pl(a, o)). lemma(1070, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, o), [1045, 1069]):pl(i, o)). lemma(1071, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, p), [1057, 17]):pl(e, p)). lemma(1072, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, r), [1057, 19]):pl(e, r)). lemma(1073, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, n), [1057, 855]):pl(e, n)). lemma(1074, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, l), [1057, 856]):pl(e, l)). lemma(1075, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, s), [1057, 862]):pl(e, s)). lemma(1076, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, o, a, c), [5, 1069, 21, 8]): (ep(a, c);el(l, o))). lemma(1077, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(1078, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, a, c), [868, ep(a, c)]):ep(b, c)). lemma(1079, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, c), [1078]):ep(c, b)). lemma(1080, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, c), [ep(d, b), 1078]):ep(d, c)). lemma(1081, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, c), [1080]):ep(c, d)). lemma(1082, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, c), [859, 1080]):ep(f, c)). lemma(1083, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, c), [1082]):ep(c, f)). lemma(1084, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, c), [1045, ep(a, c)]):ep(i, c)). lemma(1085, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, c), [1084]):ep(c, i)). lemma(1086, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, c), [1057, 1080]):ep(e, c)). lemma(1087, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, c), [1086]):ep(c, e)). lemma(1088, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, q), [1077, 10]):pl(c, q)). lemma(1089, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, s), [1077, 12]):pl(c, s)). lemma(1090, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, n), [1077, 873]):pl(c, n)). lemma(1091, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, p), [1077, 874]):pl(c, p)). lemma(1092, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, a, m), [1077, 875]):pl(c, m)). lemma(1093, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(n, o, b, g), [7, 1067, 23, 24]): (ep(b, g);el(n, o))). lemma(1094, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1095, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), ep(b, g)]):ep(d, g)). lemma(1096, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [1095]):ep(g, d)). lemma(1097, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 1095]):ep(f, g)). lemma(1098, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1097]):ep(g, f)). lemma(1099, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1100, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [1099]):ep(g, a)). lemma(1101, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, g), [1045, 1099]):ep(i, g)). lemma(1102, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, g), [1101]):ep(g, i)). lemma(1103, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1057, 1095]):ep(e, g)). lemma(1104, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [1103]):ep(g, e)). lemma(1105, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, a, g), [1077, 1099]):ep(c, g)). lemma(1106, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [1105]):ep(g, c)). lemma(1107, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, p), [1094, 9]):pl(g, p)). lemma(1108, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(p), [42, 1107, 25, 1054]):goal). lemma(1109, [el(n, o), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1110, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1093), [1108, 1109]):goal). lemma(1111, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(1112, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(r, l, o), [1042, el(l, o)]):el(r, o)). lemma(1113, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(r, o), [1112]):el(o, r)). lemma(1114, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(g, o, l), [24, 1111]):pl(g, l)). lemma(1115, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(g, o, r), [24, 1113]):pl(g, r)). lemma(1116, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, n, a, g), [5, 873, 1114, 23]): (ep(a, g);el(l, n))). lemma(1117, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(1118, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, a, g), [868, ep(a, g)]):ep(b, g)). lemma(1119, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [1118]):ep(g, b)). lemma(1120, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), 1118]):ep(d, g)). lemma(1121, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [1120]):ep(g, d)). lemma(1122, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 1120]):ep(f, g)). lemma(1123, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1122]):ep(g, f)). lemma(1124, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, g), [1045, ep(a, g)]):ep(i, g)). lemma(1125, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, g), [1124]):ep(g, i)). lemma(1126, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1057, 1120]):ep(e, g)). lemma(1127, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [1126]):ep(g, e)). lemma(1128, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, a, q), [1117, 10]):pl(g, q)). lemma(1129, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(q), [43, 1128, 26, 1052]):goal). lemma(1130, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(1131, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(r, l, n), [1042, el(l, n)]):el(r, n)). lemma(1132, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(r, n), [1131]):el(n, r)). lemma(1133, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(o, l, n), [1111, el(l, n)]):el(o, n)). lemma(1134, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(o, n), [1133]):el(n, o)). lemma(1135, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [1134]):goal). lemma(1136, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1116), [1129, 1135]):goal). lemma(1137, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1076), [1110, 1136]):goal). lemma(1138, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(1139, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(h, q, m), [26, 1138]):pl(h, m)). lemma(1140, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, p, d, h), [6, 17, 1139, 25]): (ep(d, h);el(m, p))). lemma(1141, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(1142, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, h), [854, ep(d, h)]):ep(b, h)). lemma(1143, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, h), [1142]):ep(h, b)). lemma(1144, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, h), [859, ep(d, h)]):ep(f, h)). lemma(1145, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, h), [1144]):ep(h, f)). lemma(1146, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, h), [ep(a, b), 1142]):ep(a, h)). lemma(1147, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, h), [1146]):ep(h, a)). lemma(1148, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, h), [1045, 1146]):ep(i, h)). lemma(1149, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, h), [1148]):ep(h, i)). lemma(1150, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, r), [1141, 19]):pl(h, r)). lemma(1151, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(h, d, n), [1141, 855]):pl(h, n)). lemma(1152, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(n), [40, 23, 1151, 1053]):goal). lemma(1153, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(1154, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(q, m, p), [1138, el(m, p)]):el(q, p)). lemma(1155, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(q, p), [1154]):el(p, q)). lemma(1156, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal2, [1155]):goal). lemma(1157, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1140), [1152, 1156]):goal). lemma(1158, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1056), [1137, 1157]):goal). lemma(1159, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(1160, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(r, l, s), [1042, el(l, s)]):el(r, s)). lemma(1161, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(r, s), [1160]):el(s, r)). lemma(1162, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(goal3, [1161]):goal). lemma(1163, [el(l, r), ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1044), [1158, 1162]):goal). lemma(1164, [ep(a, b), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(880), [1041, 1163]):goal). lemma(1165, [el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(1166, [el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(c, l, s), [21, el(l, s)]):pl(c, s)). lemma(1167, [el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(i, s, l), [28, 1165]):pl(i, l)). lemma(1168, [el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(r, l, c, d), [11, 21, 19, 856]): (ep(c, d);el(r, l))). lemma(1169, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(1170, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, c), [854, 1169]):ep(b, c)). lemma(1171, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, c), [1170]):ep(c, b)). lemma(1172, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, c), [859, 1169]):ep(f, c)). lemma(1173, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, c), [1172]):ep(c, f)). lemma(1174, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(1175, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, d, p), [ep(c, d), 17]):pl(c, p)). lemma(1176, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, d, n), [ep(c, d), 855]):pl(c, n)). lemma(1177, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, c, o), [1169, 8]):pl(d, o)). lemma(1178, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, d, o), [854, 1177]):pl(b, o)). lemma(1179, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, o), [859, 1177]):pl(f, o)). lemma(1180, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, o, d, e), [6, 1177, 14, 16]): (ep(d, e);el(m, o))). lemma(1181, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(1182, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, e), [854, ep(d, e)]):ep(b, e)). lemma(1183, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, e), [1182]):ep(e, b)). lemma(1184, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, e), [859, ep(d, e)]):ep(f, e)). lemma(1185, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, e), [1184]):ep(e, f)). lemma(1186, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(1187, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, e), [1186]):ep(e, c)). lemma(1188, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(1189, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(b, d, q), [854, 1188]):pl(b, q)). lemma(1190, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(f, d, q), [859, 1188]):pl(f, q)). lemma(1191, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(c, d, q), [ep(c, d), 1188]):pl(c, q)). lemma(1192, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, p), [1181, 17]):pl(e, p)). lemma(1193, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, r), [1181, 19]):pl(e, r)). lemma(1194, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, n), [1181, 855]):pl(e, n)). lemma(1195, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, l), [1181, 856]):pl(e, l)). lemma(1196, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(e, d, s), [1181, 862]):pl(e, s)). lemma(1197, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, q, a, b), [5, 10, 13, 1189]): (ep(a, b);el(l, q))). lemma(1198, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(1199, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, a), [ep(d, b), 1198]):ep(d, a)). lemma(1200, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, a), [1199]):ep(a, d)). lemma(1201, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, a), [859, 1199]):ep(f, a)). lemma(1202, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, a), [1201]):ep(a, f)). lemma(1203, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, a), [ep(c, d), 1199]):ep(c, a)). lemma(1204, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, a), [1203]):ep(a, c)). lemma(1205, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, a), [1181, 1199]):ep(e, a)). lemma(1206, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, a), [1205]):ep(a, e)). lemma(1207, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(1208, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(1209, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, m), [ep(a, b), pl(b, m)]):pl(a, m)). lemma(1210, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, r), [ep(a, b), 857]):pl(a, r)). lemma(1211, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(a, b, o), [ep(a, b), 1178]):pl(a, o)). lemma(1212, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(l, r, a, i), [5, 1210, 1167, 27]): (ep(a, i);el(l, r))). lemma(1213, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(1214, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, a, i), [1198, ep(a, i)]):ep(b, i)). lemma(1215, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, i), [1214]):ep(i, b)). lemma(1216, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, i), [ep(d, b), 1214]):ep(d, i)). lemma(1217, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, i), [1216]):ep(i, d)). lemma(1218, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, i), [859, 1216]):ep(f, i)). lemma(1219, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, i), [1218]):ep(i, f)). lemma(1220, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, i), [ep(c, d), 1216]):ep(c, i)). lemma(1221, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, i), [1220]):ep(i, c)). lemma(1222, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, i), [1181, 1216]):ep(e, i)). lemma(1223, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, i), [1222]):ep(i, e)). lemma(1224, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, q), [1213, 10]):pl(i, q)). lemma(1225, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, n), [1213, 1207]):pl(i, n)). lemma(1226, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, p), [1213, 1208]):pl(i, p)). lemma(1227, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, m), [1213, 1209]):pl(i, m)). lemma(1228, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, a, o), [1213, 1211]):pl(i, o)). lemma(1229, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(n, o, b, g), [7, 1178, 23, 24]): (ep(b, g);el(n, o))). lemma(1230, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1231, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), ep(b, g)]):ep(d, g)). lemma(1232, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [1231]):ep(g, d)). lemma(1233, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 1231]):ep(f, g)). lemma(1234, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1233]):ep(g, f)). lemma(1235, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, g), [ep(c, d), 1231]):ep(c, g)). lemma(1236, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [1235]):ep(g, c)). lemma(1237, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1181, 1231]):ep(e, g)). lemma(1238, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [1237]):ep(g, e)). lemma(1239, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1240, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(a, g), [1239]):ep(g, a)). lemma(1241, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(i, a, g), [1213, 1239]):ep(i, g)). lemma(1242, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(i, g), [1241]):ep(g, i)). lemma(1243, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, p), [1230, 9]):pl(g, p)). lemma(1244, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(p), [42, 1243, 25, 1226]):goal). lemma(1245, [el(n, o), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1246, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1229), [1244, 1245]):goal). lemma(1247, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(1248, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(s, l, r), [1165, el(l, r)]):el(s, r)). lemma(1249, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal3, [1248]):goal). lemma(1250, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1212), [1246, 1249]):goal). lemma(1251, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(1252, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(s, l, q), [1165, el(l, q)]):el(s, q)). lemma(1253, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(s, q), [1252]):el(q, s)). lemma(1254, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(h, q, l), [26, 1251]):pl(h, l)). lemma(1255, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(h, q, s), [26, 1253]):pl(h, s)). lemma(1256, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(i, s, q), [28, 1252]):pl(i, q)). lemma(1257, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(n, o, b, g), [7, 1178, 23, 24]): (ep(b, g);el(n, o))). lemma(1258, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1259, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, b, g), [ep(d, b), ep(b, g)]):ep(d, g)). lemma(1260, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [1259]):ep(g, d)). lemma(1261, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, 1259]):ep(f, g)). lemma(1262, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1261]):ep(g, f)). lemma(1263, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, g), [ep(c, d), 1259]):ep(c, g)). lemma(1264, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [1263]):ep(g, c)). lemma(1265, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1181, 1259]):ep(e, g)). lemma(1266, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(e, g), [1265]):ep(g, e)). lemma(1267, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, p), [1258, 9]):pl(g, p)). lemma(1268, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, b, l), [1258, 13]):pl(g, l)). lemma(1269, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(l), [38, 1268, 1254, 1167]):goal). lemma(1270, [el(n, o), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1271, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1257), [1269, 1270]):goal). lemma(1272, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1197), [1250, 1271]):goal). lemma(1273, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1274, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lcon(g, o, m), [24, 1273]):pl(g, m)). lemma(1275, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(m, n, d, g), [6, 855, 1274, 23]): (ep(d, g);el(m, n))). lemma(1276, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(1277, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, g), [854, ep(d, g)]):ep(b, g)). lemma(1278, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, g), [1277]):ep(g, b)). lemma(1279, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, g), [859, ep(d, g)]):ep(f, g)). lemma(1280, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, g), [1279]):ep(g, f)). lemma(1281, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(1282, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, g), [1281]):ep(g, c)). lemma(1283, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, p), [1276, 17]):pl(g, p)). lemma(1284, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, r), [1276, 19]):pl(g, r)). lemma(1285, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, l), [1276, 856]):pl(g, l)). lemma(1286, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(g, d, s), [1276, 862]):pl(g, s)). lemma(1287, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(unique(r, l, c, i), [11, 21, 27, 1167]): (ep(c, i);el(r, l))). lemma(1288, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(1289, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(d, c, i), [1169, ep(c, i)]):ep(d, i)). lemma(1290, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(d, i), [1289]):ep(i, d)). lemma(1291, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(b, d, i), [854, 1289]):ep(b, i)). lemma(1292, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(b, i), [1291]):ep(i, b)). lemma(1293, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(f, d, i), [859, 1289]):ep(f, i)). lemma(1294, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(f, i), [1293]):ep(i, f)). lemma(1295, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ptra(g, d, i), [1276, 1289]):ep(g, i)). lemma(1296, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(psym(g, i), [1295]):ep(i, g)). lemma(1297, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, c, o), [1288, 8]):pl(i, o)). lemma(1298, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, c, m), [1288, 1174]):pl(i, m)). lemma(1299, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(pcon(i, c, p), [1288, 1175]):pl(i, p)). lemma(1300, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal4(p), [42, 1283, 25, 1299]):goal). lemma(1301, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(1302, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(s, l, r), [1165, 1301]):el(s, r)). lemma(1303, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal3, [1302]):goal). lemma(1304, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1287), [1300, 1303]):goal). lemma(1305, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(1306, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(o, m, n), [1273, el(m, n)]):el(o, n)). lemma(1307, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(o, n), [1306]):el(n, o)). lemma(1308, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal1, [1307]):goal). lemma(1309, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1275), [1304, 1308]):goal). lemma(1310, [ep(c, d), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1180), [1272, 1309]):goal). lemma(1311, [el(r, l), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(1312, [el(r, l), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(ltra(s, l, r), [1165, 1311]):el(s, r)). lemma(1313, [el(r, l), el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(goal3, [1312]):goal). lemma(1314, [el(l, s), ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(1168), [1310, 1313]):goal). lemma(1315, [ep(d, f), ep(d, b), pl(b, m)], ap(or_elim(867), [1164, 1314]):goal). lemma(1316, [el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(1317, [el(m, n), ep(d, b), pl(b, m)], ap(lcon(e, m, n), [14, el(m, n)]):pl(e, n)). lemma(1318, [el(m, n), ep(d, b), pl(b, m)], ap(lcon(g, n, m), [23, 1316]):pl(g, m)). lemma(1319, [el(m, n), ep(d, b), pl(b, m)], ap(unique(r, l, c, d), [11, 21, 19, 856]): (ep(c, d);el(r, l))). lemma(1320, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(1321, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, c), [854, 1320]):ep(b, c)). lemma(1322, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, c), [1321]):ep(c, b)). lemma(1323, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(1324, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(c, d, p), [ep(c, d), 17]):pl(c, p)). lemma(1325, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(c, d, n), [ep(c, d), 855]):pl(c, n)). lemma(1326, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(d, c, o), [1320, 8]):pl(d, o)). lemma(1327, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(b, d, o), [854, 1326]):pl(b, o)). lemma(1328, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, o, d, e), [6, 1326, 14, 16]): (ep(d, e);el(m, o))). lemma(1329, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(1330, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, e), [854, ep(d, e)]):ep(b, e)). lemma(1331, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, e), [1330]):ep(e, b)). lemma(1332, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(1333, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, e), [1332]):ep(e, c)). lemma(1334, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(1335, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(b, d, q), [854, 1334]):pl(b, q)). lemma(1336, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(c, d, q), [ep(c, d), 1334]):pl(c, q)). lemma(1337, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(e, d, p), [1329, 17]):pl(e, p)). lemma(1338, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(e, d, r), [1329, 19]):pl(e, r)). lemma(1339, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(e, d, l), [1329, 856]):pl(e, l)). lemma(1340, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(l, q, a, b), [5, 10, 13, 1335]): (ep(a, b);el(l, q))). lemma(1341, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(1342, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(d, b, a), [ep(d, b), 1341]):ep(d, a)). lemma(1343, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, a), [1342]):ep(a, d)). lemma(1344, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, a), [ep(c, d), 1342]):ep(c, a)). lemma(1345, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, a), [1344]):ep(a, c)). lemma(1346, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, a), [1329, 1342]):ep(e, a)). lemma(1347, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, a), [1346]):ep(a, e)). lemma(1348, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(1349, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(1350, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(a, b, m), [ep(a, b), pl(b, m)]):pl(a, m)). lemma(1351, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(a, b, r), [ep(a, b), 857]):pl(a, r)). lemma(1352, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(a, b, o), [ep(a, b), 1327]):pl(a, o)). lemma(1353, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(b, a, s), [1341, 12]):pl(b, s)). lemma(1354, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(d, b, s), [ep(d, b), 1353]):pl(d, s)). lemma(1355, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(c, d, s), [ep(c, d), 1354]):pl(c, s)). lemma(1356, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(e, d, s), [1329, 1354]):pl(e, s)). lemma(1357, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, o, d, g), [6, 1326, 1318, 24]): (ep(d, g);el(m, o))). lemma(1358, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(1359, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, g), [854, ep(d, g)]):ep(b, g)). lemma(1360, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, g), [1359]):ep(g, b)). lemma(1361, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(1362, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, g), [1361]):ep(g, c)). lemma(1363, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1329, ep(d, g)]):ep(e, g)). lemma(1364, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, g), [1363]):ep(g, e)). lemma(1365, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), 1359]):ep(a, g)). lemma(1366, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, g), [1365]):ep(g, a)). lemma(1367, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, p), [1358, 17]):pl(g, p)). lemma(1368, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, r), [1358, 19]):pl(g, r)). lemma(1369, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, l), [1358, 856]):pl(g, l)). lemma(1370, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, q), [1358, 1334]):pl(g, q)). lemma(1371, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, s), [1358, 1354]):pl(g, s)). lemma(1372, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, s, d, f), [6, 1354, 22, 20]): (ep(d, f);el(m, s))). lemma(1373, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(1374, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, f), [854, ep(d, f)]):ep(b, f)). lemma(1375, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, f), [1374]):ep(f, b)). lemma(1376, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, f), [ep(c, d), ep(d, f)]):ep(c, f)). lemma(1377, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, f), [1376]):ep(f, c)). lemma(1378, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, f), [1329, ep(d, f)]):ep(e, f)). lemma(1379, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, f), [1378]):ep(f, e)). lemma(1380, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(a, b, f), [ep(a, b), 1374]):ep(a, f)). lemma(1381, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, f), [1380]):ep(f, a)). lemma(1382, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(g, d, f), [1358, ep(d, f)]):ep(g, f)). lemma(1383, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(g, f), [1382]):ep(f, g)). lemma(1384, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(f, d, p), [1373, 17]):pl(f, p)). lemma(1385, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(f, d, r), [1373, 19]):pl(f, r)). lemma(1386, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(f, d, l), [1373, 856]):pl(f, l)). lemma(1387, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(f, d, o), [1373, 1326]):pl(f, o)). lemma(1388, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(f, d, q), [1373, 1334]):pl(f, q)). lemma(1389, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(p, q, b, h), [9, 1335, 25, 26]): (ep(b, h);el(p, q))). lemma(1390, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(1391, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(d, b, h), [ep(d, b), ep(b, h)]):ep(d, h)). lemma(1392, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, h), [1391]):ep(h, d)). lemma(1393, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, h), [ep(c, d), 1391]):ep(c, h)). lemma(1394, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, h), [1393]):ep(h, c)). lemma(1395, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, h), [1329, 1391]):ep(e, h)). lemma(1396, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, h), [1395]):ep(h, e)). lemma(1397, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(1398, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, h), [1397]):ep(h, a)). lemma(1399, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(g, d, h), [1358, 1391]):ep(g, h)). lemma(1400, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(g, h), [1399]):ep(h, g)). lemma(1401, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(f, d, h), [1373, 1391]):ep(f, h)). lemma(1402, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(f, h), [1401]):ep(h, f)). lemma(1403, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, n), [1390, 7]):pl(h, n)). lemma(1404, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, l), [1390, 13]):pl(h, l)). lemma(1405, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, m), [1390, pl(b, m)]):pl(h, m)). lemma(1406, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, r), [1390, 857]):pl(h, r)). lemma(1407, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal4(r), [44, 1368, 1406, 27]):goal). lemma(1408, [el(p, q), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal2, [el(p, q)]):goal). lemma(1409, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1389), [1407, 1408]):goal). lemma(1410, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(1411, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, s), [1316, el(m, s)]):el(n, s)). lemma(1412, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(n, s), [1411]):el(s, n)). lemma(1413, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lcon(i, s, m), [28, 1410]):pl(i, m)). lemma(1414, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lcon(i, s, n), [28, 1412]):pl(i, n)). lemma(1415, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, r, d, i), [6, 19, 1413, 27]): (ep(d, i);el(m, r))). lemma(1416, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(1417, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, i), [854, ep(d, i)]):ep(b, i)). lemma(1418, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, i), [1417]):ep(i, b)). lemma(1419, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, i), [ep(c, d), ep(d, i)]):ep(c, i)). lemma(1420, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, i), [1419]):ep(i, c)). lemma(1421, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, i), [1329, ep(d, i)]):ep(e, i)). lemma(1422, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, i), [1421]):ep(i, e)). lemma(1423, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(a, b, i), [ep(a, b), 1417]):ep(a, i)). lemma(1424, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, i), [1423]):ep(i, a)). lemma(1425, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(g, d, i), [1358, ep(d, i)]):ep(g, i)). lemma(1426, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(g, i), [1425]):ep(i, g)). lemma(1427, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(i, d, p), [1416, 17]):pl(i, p)). lemma(1428, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal4(p), [42, 1367, 25, 1427]):goal). lemma(1429, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(1430, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, r), [1316, el(m, r)]):el(n, r)). lemma(1431, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(n, r), [1430]):el(r, n)). lemma(1432, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(s, m, r), [1410, el(m, r)]):el(s, r)). lemma(1433, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal3, [1432]):goal). lemma(1434, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1415), [1428, 1433]):goal). lemma(1435, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1372), [1409, 1434]):goal). lemma(1436, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1437, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, o), [1316, el(m, o)]):el(n, o)). lemma(1438, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal1, [1437]):goal). lemma(1439, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1357), [1435, 1438]):goal). lemma(1440, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(1441, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lcon(h, q, l), [26, 1440]):pl(h, l)). lemma(1442, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, o, d, g), [6, 1326, 1318, 24]): (ep(d, g);el(m, o))). lemma(1443, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(1444, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(b, d, g), [854, ep(d, g)]):ep(b, g)). lemma(1445, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, g), [1444]):ep(g, b)). lemma(1446, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(1447, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, g), [1446]):ep(g, c)). lemma(1448, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, g), [1329, ep(d, g)]):ep(e, g)). lemma(1449, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, g), [1448]):ep(g, e)). lemma(1450, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, p), [1443, 17]):pl(g, p)). lemma(1451, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, r), [1443, 19]):pl(g, r)). lemma(1452, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, l), [1443, 856]):pl(g, l)). lemma(1453, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, d, q), [1443, 1334]):pl(g, q)). lemma(1454, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(unique(p, l, b, h), [9, 13, 25, 1441]): (ep(b, h);el(p, l))). lemma(1455, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(1456, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(d, b, h), [ep(d, b), ep(b, h)]):ep(d, h)). lemma(1457, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(d, h), [1456]):ep(h, d)). lemma(1458, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(c, d, h), [ep(c, d), 1456]):ep(c, h)). lemma(1459, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(c, h), [1458]):ep(h, c)). lemma(1460, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(e, d, h), [1329, 1456]):ep(e, h)). lemma(1461, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, h), [1460]):ep(h, e)). lemma(1462, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ptra(g, d, h), [1443, 1456]):ep(g, h)). lemma(1463, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(psym(g, h), [1462]):ep(h, g)). lemma(1464, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, n), [1455, 7]):pl(h, n)). lemma(1465, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, m), [1455, pl(b, m)]):pl(h, m)). lemma(1466, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(pcon(h, b, r), [1455, 857]):pl(h, r)). lemma(1467, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal4(r), [44, 1451, 1466, 27]):goal). lemma(1468, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(1469, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(q, l, p), [1440, 1468]):el(q, p)). lemma(1470, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(q, p), [1469]):el(p, q)). lemma(1471, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal2, [1470]):goal). lemma(1472, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1454), [1467, 1471]):goal). lemma(1473, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1474, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, o), [1316, el(m, o)]):el(n, o)). lemma(1475, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal1, [1474]):goal). lemma(1476, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1442), [1472, 1475]):goal). lemma(1477, [ep(d, e), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1340), [1439, 1476]):goal). lemma(1478, [el(m, o), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1479, [el(m, o), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, o), [1316, el(m, o)]):el(n, o)). lemma(1480, [el(m, o), ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(goal1, [1479]):goal). lemma(1481, [ep(c, d), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1328), [1477, 1480]):goal). lemma(1482, [el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(1483, [el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lcon(a, l, r), [5, 1482]):pl(a, r)). lemma(1484, [el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lcon(i, r, l), [27, el(r, l)]):pl(i, l)). lemma(1485, [el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(unique(l, s, a, i), [5, 12, 1484, 28]): (ep(a, i);el(l, s))). lemma(1486, [ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(1487, [ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(pcon(i, a, q), [1486, 10]):pl(i, q)). lemma(1488, [ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(unique(m, o, e, g), [14, 16, 1318, 24]): (ep(e, g);el(m, o))). lemma(1489, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(psym(e, g), [ep(e, g)]):ep(g, e)). lemma(1490, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(pcon(g, e, q), [1489, 18]):pl(g, q)). lemma(1491, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(goal4(q), [43, 1490, 26, 1487]):goal). lemma(1492, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1493, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(ltra(n, m, o), [1316, el(m, o)]):el(n, o)). lemma(1494, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(goal1, [1493]):goal). lemma(1495, [ep(a, i), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1488), [1491, 1494]):goal). lemma(1496, [el(l, s), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(1497, [el(l, s), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(ltra(r, l, s), [el(r, l), el(l, s)]):el(r, s)). lemma(1498, [el(l, s), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(lsym(r, s), [1497]):el(s, r)). lemma(1499, [el(l, s), el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(goal3, [1498]):goal). lemma(1500, [el(r, l), el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1485), [1495, 1499]):goal). lemma(1501, [el(m, n), ep(d, b), pl(b, m)], ap(or_elim(1319), [1481, 1500]):goal). lemma(1502, [ep(d, b), pl(b, m)], ap(or_elim(858), [1315, 1501]):goal). lemma(1503, [el(m, p), pl(b, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(1504, [el(m, p), pl(b, m)], ap(lcon(e, m, p), [14, el(m, p)]):pl(e, p)). lemma(1505, [el(m, p), pl(b, m)], ap(lcon(f, m, p), [22, el(m, p)]):pl(f, p)). lemma(1506, [el(m, p), pl(b, m)], ap(lcon(h, p, m), [25, 1503]):pl(h, m)). lemma(1507, [el(m, p), pl(b, m)], ap(unique(n, p, b, f), [7, 9, 15, 1505]): (ep(b, f);el(n, p))). lemma(1508, [ep(b, f), el(m, p), pl(b, m)], ap(psym(b, f), [ep(b, f)]):ep(f, b)). lemma(1509, [ep(b, f), el(m, p), pl(b, m)], ap(pcon(b, f, s), [ep(b, f), 20]):pl(b, s)). lemma(1510, [ep(b, f), el(m, p), pl(b, m)], ap(pcon(f, b, l), [1508, 13]):pl(f, l)). lemma(1511, [ep(b, f), el(m, p), pl(b, m)], ap(unique(l, s, a, b), [5, 12, 13, 1509]): (ep(a, b);el(l, s))). lemma(1512, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(1513, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, a), [1508, 1512]):ep(f, a)). lemma(1514, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, a), [1513]):ep(a, f)). lemma(1515, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(1516, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(1517, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(a, b, m), [ep(a, b), pl(b, m)]):pl(a, m)). lemma(1518, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(b, a, q), [1512, 10]):pl(b, q)). lemma(1519, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(f, b, q), [1508, 1518]):pl(f, q)). lemma(1520, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(p, q, b, h), [9, 1518, 25, 26]): (ep(b, h);el(p, q))). lemma(1521, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(1522, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, h), [1508, ep(b, h)]):ep(f, h)). lemma(1523, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, h), [1522]):ep(h, f)). lemma(1524, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(1525, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, h), [1524]):ep(h, a)). lemma(1526, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, b, n), [1521, 7]):pl(h, n)). lemma(1527, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, b, l), [1521, 13]):pl(h, l)). lemma(1528, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, b, s), [1521, 1509]):pl(h, s)). lemma(1529, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(p, q, b, e), [9, 1518, 1504, 18]): (ep(b, e);el(p, q))). lemma(1530, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, e), [ep(b, e)]):ep(e, b)). lemma(1531, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, e), [1508, ep(b, e)]):ep(f, e)). lemma(1532, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, e), [1531]):ep(e, f)). lemma(1533, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(a, b, e), [ep(a, b), ep(b, e)]):ep(a, e)). lemma(1534, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, e), [1533]):ep(e, a)). lemma(1535, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, e), [1521, ep(b, e)]):ep(h, e)). lemma(1536, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, e), [1535]):ep(e, h)). lemma(1537, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(b, e, o), [ep(b, e), 16]):pl(b, o)). lemma(1538, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(f, b, o), [1508, 1537]):pl(f, o)). lemma(1539, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(a, b, o), [ep(a, b), 1537]):pl(a, o)). lemma(1540, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, b, o), [1521, 1537]):pl(h, o)). lemma(1541, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(e, b, n), [1530, 7]):pl(e, n)). lemma(1542, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(e, b, l), [1530, 13]):pl(e, l)). lemma(1543, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(e, b, s), [1530, 1509]):pl(e, s)). lemma(1544, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(l, o, a, c), [5, 1539, 21, 8]): (ep(a, c);el(l, o))). lemma(1545, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(1546, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(b, a, c), [1512, ep(a, c)]):ep(b, c)). lemma(1547, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, c), [1546]):ep(c, b)). lemma(1548, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, c), [1508, 1546]):ep(f, c)). lemma(1549, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, c), [1548]):ep(c, f)). lemma(1550, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, c), [1521, 1546]):ep(h, c)). lemma(1551, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, c), [1550]):ep(c, h)). lemma(1552, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(e, b, c), [1530, 1546]):ep(e, c)). lemma(1553, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(e, c), [1552]):ep(c, e)). lemma(1554, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(1555, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(b, a, r), [1512, 1554]):pl(b, r)). lemma(1556, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(f, b, r), [1508, 1555]):pl(f, r)). lemma(1557, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, b, r), [1521, 1555]):pl(h, r)). lemma(1558, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(e, b, r), [1530, 1555]):pl(e, r)). lemma(1559, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(c, a, q), [1545, 10]):pl(c, q)). lemma(1560, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(c, a, s), [1545, 12]):pl(c, s)). lemma(1561, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(c, a, n), [1545, 1515]):pl(c, n)). lemma(1562, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(c, a, p), [1545, 1516]):pl(c, p)). lemma(1563, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(c, a, m), [1545, 1517]):pl(c, m)). lemma(1564, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(m, r, d, e), [6, 19, 14, 1558]): (ep(d, e);el(m, r))). lemma(1565, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(1566, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(b, e, d), [ep(b, e), 1565]):ep(b, d)). lemma(1567, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, d), [1566]):ep(d, b)). lemma(1568, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, d), [1508, 1566]):ep(f, d)). lemma(1569, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, d), [1568]):ep(d, f)). lemma(1570, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(a, b, d), [ep(a, b), 1566]):ep(a, d)). lemma(1571, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, d), [1570]):ep(d, a)). lemma(1572, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, d), [1521, 1566]):ep(h, d)). lemma(1573, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, d), [1572]):ep(d, h)). lemma(1574, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(c, a, d), [1545, 1570]):ep(c, d)). lemma(1575, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(c, d), [1574]):ep(d, c)). lemma(1576, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(1577, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(1578, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(d, e, n), [ep(d, e), 1541]):pl(d, n)). lemma(1579, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(d, e, l), [ep(d, e), 1542]):pl(d, l)). lemma(1580, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(d, e, s), [ep(d, e), 1543]):pl(d, s)). lemma(1581, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(n, o, b, g), [7, 1537, 23, 24]): (ep(b, g);el(n, o))). lemma(1582, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1583, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, g), [1508, ep(b, g)]):ep(f, g)). lemma(1584, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, g), [1583]):ep(g, f)). lemma(1585, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1586, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, g), [1585]):ep(g, a)). lemma(1587, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, g), [1521, ep(b, g)]):ep(h, g)). lemma(1588, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, g), [1587]):ep(g, h)). lemma(1589, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(e, b, g), [1530, ep(b, g)]):ep(e, g)). lemma(1590, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(e, g), [1589]):ep(g, e)). lemma(1591, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(c, a, g), [1545, 1585]):ep(c, g)). lemma(1592, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(c, g), [1591]):ep(g, c)). lemma(1593, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(d, e, g), [ep(d, e), 1589]):ep(d, g)). lemma(1594, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(d, g), [1593]):ep(g, d)). lemma(1595, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, b, p), [1582, 9]):pl(g, p)). lemma(1596, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, b, l), [1582, 13]):pl(g, l)). lemma(1597, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, b, m), [1582, pl(b, m)]):pl(g, m)). lemma(1598, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, b, s), [1582, 1509]):pl(g, s)). lemma(1599, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal4(s), [45, 1598, 1528, 28]):goal). lemma(1600, [el(n, o), ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1601, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1581), [1599, 1600]):goal). lemma(1602, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(1603, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ltra(p, m, r), [1503, el(m, r)]):el(p, r)). lemma(1604, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lsym(p, r), [1603]):el(r, p)). lemma(1605, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lcon(i, r, m), [27, 1602]):pl(i, m)). lemma(1606, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lcon(i, r, p), [27, 1604]):pl(i, p)). lemma(1607, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(n, o, b, g), [7, 1537, 23, 24]): (ep(b, g);el(n, o))). lemma(1608, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1609, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, g), [1508, ep(b, g)]):ep(f, g)). lemma(1610, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, g), [1609]):ep(g, f)). lemma(1611, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1612, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, g), [1611]):ep(g, a)). lemma(1613, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, g), [1521, ep(b, g)]):ep(h, g)). lemma(1614, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, g), [1613]):ep(g, h)). lemma(1615, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(e, b, g), [1530, ep(b, g)]):ep(e, g)). lemma(1616, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(e, g), [1615]):ep(g, e)). lemma(1617, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(c, a, g), [1545, 1611]):ep(c, g)). lemma(1618, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(c, g), [1617]):ep(g, c)). lemma(1619, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, b, p), [1608, 9]):pl(g, p)). lemma(1620, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal4(p), [42, 1619, 25, 1606]):goal). lemma(1621, [el(n, o), el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal1, [el(n, o)]):goal). lemma(1622, [el(m, r), ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1607), [1620, 1621]):goal). lemma(1623, [ep(a, c), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1564), [1601, 1622]):goal). lemma(1624, [el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(1625, [el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lcon(g, o, l), [24, 1624]):pl(g, l)). lemma(1626, [el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(unique(l, n, a, g), [5, 1515, 1625, 23]): (ep(a, g);el(l, n))). lemma(1627, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(1628, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(b, a, g), [1512, ep(a, g)]):ep(b, g)). lemma(1629, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(b, g), [1628]):ep(g, b)). lemma(1630, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(f, b, g), [1508, 1628]):ep(f, g)). lemma(1631, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(f, g), [1630]):ep(g, f)). lemma(1632, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(h, b, g), [1521, 1628]):ep(h, g)). lemma(1633, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(h, g), [1632]):ep(g, h)). lemma(1634, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ptra(e, b, g), [1530, 1628]):ep(e, g)). lemma(1635, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(psym(e, g), [1634]):ep(g, e)). lemma(1636, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, a, q), [1627, 10]):pl(g, q)). lemma(1637, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(pcon(g, a, s), [1627, 12]):pl(g, s)). lemma(1638, [ep(a, g), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal4(s), [45, 1637, 1528, 28]):goal). lemma(1639, [el(l, n), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(1640, [el(l, n), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(ltra(o, l, n), [1624, el(l, n)]):el(o, n)). lemma(1641, [el(l, n), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(lsym(o, n), [1640]):el(n, o)). lemma(1642, [el(l, n), el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal1, [1641]):goal). lemma(1643, [el(l, o), ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1626), [1638, 1642]):goal). lemma(1644, [ep(b, e), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1544), [1623, 1643]):goal). lemma(1645, [el(p, q), ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal2, [el(p, q)]):goal). lemma(1646, [ep(b, h), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1529), [1644, 1645]):goal). lemma(1647, [el(p, q), ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(goal2, [el(p, q)]):goal). lemma(1648, [ep(a, b), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1520), [1646, 1647]):goal). lemma(1649, [el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(1650, [el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(lcon(c, l, s), [21, el(l, s)]):pl(c, s)). lemma(1651, [el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(lcon(i, s, l), [28, 1649]):pl(i, l)). lemma(1652, [el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(unique(r, l, c, i), [11, 21, 27, 1651]): (ep(c, i);el(r, l))). lemma(1653, [ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(1654, [ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(pcon(i, c, o), [1653, 8]):pl(i, o)). lemma(1655, [ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(unique(m, q, e, h), [14, 18, 1506, 26]): (ep(e, h);el(m, q))). lemma(1656, [ep(e, h), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(psym(e, h), [ep(e, h)]):ep(h, e)). lemma(1657, [ep(e, h), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(pcon(h, e, o), [1656, 16]):pl(h, o)). lemma(1658, [ep(e, h), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(goal4(o), [41, 24, 1657, 1654]):goal). lemma(1659, [el(m, q), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(1660, [el(m, q), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(ltra(p, m, q), [1503, el(m, q)]):el(p, q)). lemma(1661, [el(m, q), ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(goal2, [1660]):goal). lemma(1662, [ep(c, i), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1655), [1658, 1661]):goal). lemma(1663, [el(r, l), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(1664, [el(r, l), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(ltra(s, l, r), [1649, 1663]):el(s, r)). lemma(1665, [el(r, l), el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(goal3, [1664]):goal). lemma(1666, [el(l, s), ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1652), [1662, 1665]):goal). lemma(1667, [ep(b, f), el(m, p), pl(b, m)], ap(or_elim(1511), [1648, 1666]):goal). lemma(1668, [el(n, p), el(m, p), pl(b, m)], ap(lsym(n, p), [el(n, p)]):el(p, n)). lemma(1669, [el(n, p), el(m, p), pl(b, m)], ap(ltra(m, p, n), [el(m, p), 1668]):el(m, n)). lemma(1670, [el(n, p), el(m, p), pl(b, m)], ap(lsym(m, n), [1669]):el(n, m)). lemma(1671, [el(n, p), el(m, p), pl(b, m)], ap(lcon(d, m, n), [6, 1669]):pl(d, n)). lemma(1672, [el(n, p), el(m, p), pl(b, m)], ap(lcon(e, m, n), [14, 1669]):pl(e, n)). lemma(1673, [el(n, p), el(m, p), pl(b, m)], ap(lcon(g, n, p), [23, el(n, p)]):pl(g, p)). lemma(1674, [el(n, p), el(m, p), pl(b, m)], ap(lcon(g, n, m), [23, 1670]):pl(g, m)). lemma(1675, [el(n, p), el(m, p), pl(b, m)], ap(lcon(h, p, n), [25, 1668]):pl(h, n)). lemma(1676, [el(n, p), el(m, p), pl(b, m)], ap(unique(m, o, e, g), [14, 16, 1674, 24]): (ep(e, g);el(m, o))). lemma(1677, [ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(psym(e, g), [ep(e, g)]):ep(g, e)). lemma(1678, [ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(pcon(g, e, q), [1677, 18]):pl(g, q)). lemma(1679, [ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(unique(m, q, e, h), [14, 18, 1506, 26]): (ep(e, h);el(m, q))). lemma(1680, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(psym(e, h), [ep(e, h)]):ep(h, e)). lemma(1681, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ptra(g, e, h), [1677, ep(e, h)]):ep(g, h)). lemma(1682, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(psym(g, h), [1681]):ep(h, g)). lemma(1683, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(pcon(h, e, o), [1680, 16]):pl(h, o)). lemma(1684, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(line(a, d), [29, 30]): (dom(A), pl(a, A), pl(d, A))). lemma(1685, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(1686, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(line(b, i), [31, 37]): (dom(A), pl(b, A), pl(i, A))). lemma(1687, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(lref(b, par(1)), [pl(b, par(1))]):el(par(1), par(1))). lemma(1688, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(line(c, f), [32, 34]): (dom(A), pl(c, A), pl(f, A))). lemma(1689, [ (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(lref(c, par(2)), [pl(c, par(2))]):el(par(2), par(2))). lemma(1690, [ (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(line(e, i), [33, 37]): (dom(A), pl(e, A), pl(i, A))). lemma(1691, [ (dom(par(3)), pl(e, par(3)), pl(i, par(3))), (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(lref(e, par(3)), [pl(e, par(3))]):el(par(3), par(3))). lemma(1692, [ (dom(par(3)), pl(e, par(3)), pl(i, par(3))), (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(pcon(g, e, par(3)), [1677, pl(e, par(3))]):pl(g, par(3))). lemma(1693, [ (dom(par(3)), pl(e, par(3)), pl(i, par(3))), (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(pcon(h, e, par(3)), [1680, pl(e, par(3))]):pl(h, par(3))). lemma(1694, [ (dom(par(3)), pl(e, par(3)), pl(i, par(3))), (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(goal4(par(3)), [1691, 1692, 1693, pl(i, par(3))]):goal). lemma(1695, [ (dom(par(2)), pl(c, par(2)), pl(f, par(2))), (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ex_elim(1690), 1694):goal). lemma(1696, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ex_elim(1688), 1695):goal). lemma(1697, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ex_elim(1686), 1696):goal). lemma(1698, [ep(e, h), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ex_elim(1684), 1697):goal). lemma(1699, [el(m, q), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(1700, [el(m, q), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(ltra(p, m, q), [1503, el(m, q)]):el(p, q)). lemma(1701, [el(m, q), ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(goal2, [1700]):goal). lemma(1702, [ep(e, g), el(n, p), el(m, p), pl(b, m)], ap(or_elim(1679), [1698, 1701]):goal). lemma(1703, [el(m, o), el(n, p), el(m, p), pl(b, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1704, [el(m, o), el(n, p), el(m, p), pl(b, m)], ap(ltra(p, m, o), [1503, el(m, o)]):el(p, o)). lemma(1705, [el(m, o), el(n, p), el(m, p), pl(b, m)], ap(lsym(p, o), [1704]):el(o, p)). lemma(1706, [el(m, o), el(n, p), el(m, p), pl(b, m)], ap(ltra(n, p, o), [el(n, p), 1704]):el(n, o)). lemma(1707, [el(m, o), el(n, p), el(m, p), pl(b, m)], ap(goal1, [1706]):goal). lemma(1708, [el(n, p), el(m, p), pl(b, m)], ap(or_elim(1676), [1702, 1707]):goal). lemma(1709, [el(m, p), pl(b, m)], ap(or_elim(1507), [1667, 1708]):goal). lemma(1710, [pl(b, m)], ap(or_elim(853), [1502, 1709]):goal). lemma(1711, [pl(c, m)], ap(unique(m, r, d, c), [6, 19, pl(c, m), 11]): (ep(d, c);el(m, r))). lemma(1712, [ep(d, c), pl(c, m)], ap(psym(d, c), [ep(d, c)]):ep(c, d)). lemma(1713, [ep(d, c), pl(c, m)], ap(pcon(d, c, o), [ep(d, c), 8]):pl(d, o)). lemma(1714, [ep(d, c), pl(c, m)], ap(pcon(d, c, l), [ep(d, c), 21]):pl(d, l)). lemma(1715, [ep(d, c), pl(c, m)], ap(pcon(c, d, p), [1712, 17]):pl(c, p)). lemma(1716, [ep(d, c), pl(c, m)], ap(unique(m, o, d, e), [6, 1713, 14, 16]): (ep(d, e);el(m, o))). lemma(1717, [ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(1718, [ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, e), [1712, ep(d, e)]):ep(c, e)). lemma(1719, [ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, e), [1718]):ep(e, c)). lemma(1720, [ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(1721, [ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, d, q), [1712, 1720]):pl(c, q)). lemma(1722, [ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, p), [1717, 17]):pl(e, p)). lemma(1723, [ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, r), [1717, 19]):pl(e, r)). lemma(1724, [ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, l), [1717, 1714]):pl(e, l)). lemma(1725, [ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, q, a, c), [5, 10, 21, 1721]): (ep(a, c);el(l, q))). lemma(1726, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(1727, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, a), [ep(d, c), 1726]):ep(d, a)). lemma(1728, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, a), [1727]):ep(a, d)). lemma(1729, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, a), [1717, 1727]):ep(e, a)). lemma(1730, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, a), [1729]):ep(a, e)). lemma(1731, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(1732, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(1733, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, c, m), [ep(a, c), pl(c, m)]):pl(a, m)). lemma(1734, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, c, p), [ep(a, c), 1715]):pl(a, p)). lemma(1735, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, a, s), [1726, 12]):pl(c, s)). lemma(1736, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, c, s), [ep(d, c), 1735]):pl(d, s)). lemma(1737, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, s), [1717, 1736]):pl(e, s)). lemma(1738, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, p, a, b), [5, 1734, 13, 9]): (ep(a, b);el(l, p))). lemma(1739, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(1740, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, b), [1726, ep(a, b)]):ep(c, b)). lemma(1741, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, b), [1740]):ep(b, c)). lemma(1742, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, b), [ep(d, c), 1740]):ep(d, b)). lemma(1743, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, b), [1742]):ep(b, d)). lemma(1744, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, b), [1717, 1742]):ep(e, b)). lemma(1745, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, b), [1744]):ep(b, e)). lemma(1746, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(1747, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, a, n), [1726, 1746]):pl(c, n)). lemma(1748, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, c, n), [ep(d, c), 1747]):pl(d, n)). lemma(1749, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, n), [1717, 1748]):pl(e, n)). lemma(1750, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, q), [1739, 10]):pl(b, q)). lemma(1751, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, s), [1739, 12]):pl(b, s)). lemma(1752, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, o), [1739, 1731]):pl(b, o)). lemma(1753, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, r), [1739, 1732]):pl(b, r)). lemma(1754, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, m), [1739, 1733]):pl(b, m)). lemma(1755, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, s, d, f), [6, 1736, 22, 20]): (ep(d, f);el(m, s))). lemma(1756, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(1757, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, f), [1712, ep(d, f)]):ep(c, f)). lemma(1758, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, f), [1757]):ep(f, c)). lemma(1759, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, f), [1717, ep(d, f)]):ep(e, f)). lemma(1760, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, f), [1759]):ep(f, e)). lemma(1761, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, f), [ep(a, c), 1757]):ep(a, f)). lemma(1762, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, f), [1761]):ep(f, a)). lemma(1763, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, a, f), [1739, 1761]):ep(b, f)). lemma(1764, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, f), [1763]):ep(f, b)). lemma(1765, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, p), [1756, 17]):pl(f, p)). lemma(1766, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, r), [1756, 19]):pl(f, r)). lemma(1767, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, o), [1756, 1713]):pl(f, o)). lemma(1768, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, l), [1756, 1714]):pl(f, l)). lemma(1769, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, q), [1756, 1720]):pl(f, q)). lemma(1770, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(n, o, b, g), [7, 1752, 23, 24]): (ep(b, g);el(n, o))). lemma(1771, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1772, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1773, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [1772]):ep(g, a)). lemma(1774, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, g), [1726, 1772]):ep(c, g)). lemma(1775, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [1774]):ep(g, c)). lemma(1776, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, g), [ep(d, c), 1774]):ep(d, g)). lemma(1777, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [1776]):ep(g, d)). lemma(1778, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 1776]):ep(e, g)). lemma(1779, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [1778]):ep(g, e)). lemma(1780, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [1756, 1776]):ep(f, g)). lemma(1781, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [1780]):ep(g, f)). lemma(1782, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, p), [1771, 9]):pl(g, p)). lemma(1783, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, l), [1771, 13]):pl(g, l)). lemma(1784, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, q), [1771, 1750]):pl(g, q)). lemma(1785, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, s), [1771, 1751]):pl(g, s)). lemma(1786, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, r), [1771, 1753]):pl(g, r)). lemma(1787, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, m), [1771, 1754]):pl(g, m)). lemma(1788, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(p, q, b, h), [9, 1750, 25, 26]): (ep(b, h);el(p, q))). lemma(1789, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(1790, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(1791, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, h), [1790]):ep(h, a)). lemma(1792, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, h), [1726, 1790]):ep(c, h)). lemma(1793, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, h), [1792]):ep(h, c)). lemma(1794, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, h), [ep(d, c), 1792]):ep(d, h)). lemma(1795, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, h), [1794]):ep(h, d)). lemma(1796, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, h), [1717, 1794]):ep(e, h)). lemma(1797, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, h), [1796]):ep(h, e)). lemma(1798, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, h), [1756, 1794]):ep(f, h)). lemma(1799, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, h), [1798]):ep(h, f)). lemma(1800, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(g, b, h), [1771, ep(b, h)]):ep(g, h)). lemma(1801, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(g, h), [1800]):ep(h, g)). lemma(1802, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, n), [1789, 7]):pl(h, n)). lemma(1803, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, l), [1789, 13]):pl(h, l)). lemma(1804, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, s), [1789, 1751]):pl(h, s)). lemma(1805, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(s), [45, 1785, 1804, 28]):goal). lemma(1806, [el(p, q), ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal2, [el(p, q)]):goal). lemma(1807, [ep(b, g), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1788), [1805, 1806]):goal). lemma(1808, [el(n, o), ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(1809, [ep(d, f), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1770), [1807, 1808]):goal). lemma(1810, [el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(1811, [el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(i, s, m), [28, 1810]):pl(i, m)). lemma(1812, [el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, r, d, i), [6, 19, 1811, 27]): (ep(d, i);el(m, r))). lemma(1813, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(1814, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, i), [1712, ep(d, i)]):ep(c, i)). lemma(1815, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, i), [1814]):ep(i, c)). lemma(1816, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, i), [1717, ep(d, i)]):ep(e, i)). lemma(1817, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, i), [1816]):ep(i, e)). lemma(1818, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, i), [ep(a, c), 1814]):ep(a, i)). lemma(1819, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, i), [1818]):ep(i, a)). lemma(1820, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, a, i), [1739, 1818]):ep(b, i)). lemma(1821, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, i), [1820]):ep(i, b)). lemma(1822, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, p), [1813, 17]):pl(i, p)). lemma(1823, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, o), [1813, 1713]):pl(i, o)). lemma(1824, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, l), [1813, 1714]):pl(i, l)). lemma(1825, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, q), [1813, 1720]):pl(i, q)). lemma(1826, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, n), [1813, 1748]):pl(i, n)). lemma(1827, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, n, d, f), [6, 1748, 22, 15]): (ep(d, f);el(m, n))). lemma(1828, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(1829, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, f), [1712, ep(d, f)]):ep(c, f)). lemma(1830, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, f), [1829]):ep(f, c)). lemma(1831, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, f), [1717, ep(d, f)]):ep(e, f)). lemma(1832, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, f), [1831]):ep(f, e)). lemma(1833, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, f), [ep(a, c), 1829]):ep(a, f)). lemma(1834, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, f), [1833]):ep(f, a)). lemma(1835, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, a, f), [1739, 1833]):ep(b, f)). lemma(1836, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, f), [1835]):ep(f, b)). lemma(1837, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(i, d, f), [1813, ep(d, f)]):ep(i, f)). lemma(1838, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(i, f), [1837]):ep(f, i)). lemma(1839, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, p), [1828, 17]):pl(f, p)). lemma(1840, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, r), [1828, 19]):pl(f, r)). lemma(1841, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, o), [1828, 1713]):pl(f, o)). lemma(1842, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, l), [1828, 1714]):pl(f, l)). lemma(1843, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, q), [1828, 1720]):pl(f, q)). lemma(1844, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(n, o, b, g), [7, 1752, 23, 24]): (ep(b, g);el(n, o))). lemma(1845, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1846, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1847, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [1846]):ep(g, a)). lemma(1848, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, g), [1726, 1846]):ep(c, g)). lemma(1849, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [1848]):ep(g, c)). lemma(1850, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, g), [ep(d, c), 1848]):ep(d, g)). lemma(1851, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [1850]):ep(g, d)). lemma(1852, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 1850]):ep(e, g)). lemma(1853, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [1852]):ep(g, e)). lemma(1854, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(i, d, g), [1813, 1850]):ep(i, g)). lemma(1855, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(i, g), [1854]):ep(g, i)). lemma(1856, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [1828, 1850]):ep(f, g)). lemma(1857, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [1856]):ep(g, f)). lemma(1858, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, p), [1845, 9]):pl(g, p)). lemma(1859, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(p), [42, 1858, 25, 1822]):goal). lemma(1860, [el(n, o), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(1861, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1844), [1859, 1860]):goal). lemma(1862, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(1863, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(s, m, n), [1810, el(m, n)]):el(s, n)). lemma(1864, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(s, n), [1863]):el(n, s)). lemma(1865, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(g, n, m), [23, 1862]):pl(g, m)). lemma(1866, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(g, n, s), [23, 1864]):pl(g, s)). lemma(1867, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, o, d, g), [6, 1713, 1865, 24]): (ep(d, g);el(m, o))). lemma(1868, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(1869, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, ep(d, g)]):ep(c, g)). lemma(1870, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [1869]):ep(g, c)). lemma(1871, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, ep(d, g)]):ep(e, g)). lemma(1872, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [1871]):ep(g, e)). lemma(1873, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, g), [ep(a, c), 1869]):ep(a, g)). lemma(1874, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [1873]):ep(g, a)). lemma(1875, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, a, g), [1739, 1873]):ep(b, g)). lemma(1876, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [1875]):ep(g, b)). lemma(1877, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(i, d, g), [1813, ep(d, g)]):ep(i, g)). lemma(1878, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(i, g), [1877]):ep(g, i)). lemma(1879, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, d, p), [1868, 17]):pl(g, p)). lemma(1880, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(p), [42, 1879, 25, 1822]):goal). lemma(1881, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(1882, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(s, m, o), [1810, el(m, o)]):el(s, o)). lemma(1883, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(s, o), [1882]):el(o, s)). lemma(1884, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(n, m, o), [1862, el(m, o)]):el(n, o)). lemma(1885, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [1884]):goal). lemma(1886, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1867), [1880, 1885]):goal). lemma(1887, [ep(d, i), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1827), [1861, 1886]):goal). lemma(1888, [el(m, r), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(1889, [el(m, r), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(s, m, r), [1810, el(m, r)]):el(s, r)). lemma(1890, [el(m, r), el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal3, [1889]):goal). lemma(1891, [el(m, s), ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1812), [1887, 1890]):goal). lemma(1892, [ep(a, b), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1755), [1809, 1891]):goal). lemma(1893, [el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(1894, [el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(h, p, l), [25, 1893]):pl(h, l)). lemma(1895, [el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, q, a, h), [5, 10, 1894, 26]): (ep(a, h);el(l, q))). lemma(1896, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(1897, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, h), [1726, ep(a, h)]):ep(c, h)). lemma(1898, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, h), [1897]):ep(h, c)). lemma(1899, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, h), [ep(d, c), 1897]):ep(d, h)). lemma(1900, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, h), [1899]):ep(h, d)). lemma(1901, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, h), [1717, 1899]):ep(e, h)). lemma(1902, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, h), [1901]):ep(h, e)). lemma(1903, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, s), [1896, 12]):pl(h, s)). lemma(1904, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, o), [1896, 1731]):pl(h, o)). lemma(1905, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, r), [1896, 1732]):pl(h, r)). lemma(1906, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, m), [1896, 1733]):pl(h, m)). lemma(1907, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, s, d, f), [6, 1736, 22, 20]): (ep(d, f);el(m, s))). lemma(1908, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(1909, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, f), [1712, ep(d, f)]):ep(c, f)). lemma(1910, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, f), [1909]):ep(f, c)). lemma(1911, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, f), [1717, ep(d, f)]):ep(e, f)). lemma(1912, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, f), [1911]):ep(f, e)). lemma(1913, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, f), [ep(a, c), 1909]):ep(a, f)). lemma(1914, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, f), [1913]):ep(f, a)). lemma(1915, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, f), [1896, 1913]):ep(h, f)). lemma(1916, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, f), [1915]):ep(f, h)). lemma(1917, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(1918, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, d, n), [1712, 1917]):pl(c, n)). lemma(1919, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, n), [1717, 1917]):pl(e, n)). lemma(1920, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, c, n), [ep(a, c), 1918]):pl(a, n)). lemma(1921, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, n), [1896, 1920]):pl(h, n)). lemma(1922, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, p), [1908, 17]):pl(f, p)). lemma(1923, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, r), [1908, 19]):pl(f, r)). lemma(1924, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, o), [1908, 1713]):pl(f, o)). lemma(1925, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, l), [1908, 1714]):pl(f, l)). lemma(1926, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, q), [1908, 1720]):pl(f, q)). lemma(1927, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, n, a, b), [5, 1920, 13, 7]): (ep(a, b);el(l, n))). lemma(1928, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(1929, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, b), [1726, ep(a, b)]):ep(c, b)). lemma(1930, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, b), [1929]):ep(b, c)). lemma(1931, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, b), [ep(d, c), 1929]):ep(d, b)). lemma(1932, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, b), [1931]):ep(b, d)). lemma(1933, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, b), [1717, 1931]):ep(e, b)). lemma(1934, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, b), [1933]):ep(b, e)). lemma(1935, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, b), [1896, ep(a, b)]):ep(h, b)). lemma(1936, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, b), [1935]):ep(b, h)). lemma(1937, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, b), [1908, 1931]):ep(f, b)). lemma(1938, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, b), [1937]):ep(b, f)). lemma(1939, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, q), [1928, 10]):pl(b, q)). lemma(1940, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, s), [1928, 12]):pl(b, s)). lemma(1941, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, o), [1928, 1731]):pl(b, o)). lemma(1942, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, r), [1928, 1732]):pl(b, r)). lemma(1943, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, a, m), [1928, 1733]):pl(b, m)). lemma(1944, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(n, o, b, g), [7, 1941, 23, 24]): (ep(b, g);el(n, o))). lemma(1945, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(1946, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(1947, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [1946]):ep(g, a)). lemma(1948, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, g), [1726, 1946]):ep(c, g)). lemma(1949, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [1948]):ep(g, c)). lemma(1950, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, g), [ep(d, c), 1948]):ep(d, g)). lemma(1951, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [1950]):ep(g, d)). lemma(1952, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 1950]):ep(e, g)). lemma(1953, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [1952]):ep(g, e)). lemma(1954, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, g), [1896, 1946]):ep(h, g)). lemma(1955, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, g), [1954]):ep(g, h)). lemma(1956, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [1908, 1950]):ep(f, g)). lemma(1957, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [1956]):ep(g, f)). lemma(1958, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, p), [1945, 9]):pl(g, p)). lemma(1959, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, l), [1945, 13]):pl(g, l)). lemma(1960, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, q), [1945, 1939]):pl(g, q)). lemma(1961, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, s), [1945, 1940]):pl(g, s)). lemma(1962, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(s), [45, 1961, 1903, 28]):goal). lemma(1963, [el(n, o), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(1964, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1944), [1962, 1963]):goal). lemma(1965, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(1966, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(p, l, n), [1893, el(l, n)]):el(p, n)). lemma(1967, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(p, n), [1966]):el(n, p)). lemma(1968, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(g, n, l), [23, 1965]):pl(g, l)). lemma(1969, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(g, n, p), [23, 1967]):pl(g, p)). lemma(1970, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, o, a, g), [5, 1731, 1968, 24]): (ep(a, g);el(l, o))). lemma(1971, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(1972, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, a, g), [1726, ep(a, g)]):ep(c, g)). lemma(1973, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [1972]):ep(g, c)). lemma(1974, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, c, g), [ep(d, c), 1972]):ep(d, g)). lemma(1975, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [1974]):ep(g, d)). lemma(1976, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 1974]):ep(e, g)). lemma(1977, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [1976]):ep(g, e)). lemma(1978, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, g), [1896, ep(a, g)]):ep(h, g)). lemma(1979, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, g), [1978]):ep(g, h)). lemma(1980, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [1908, 1974]):ep(f, g)). lemma(1981, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [1980]):ep(g, f)). lemma(1982, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, a, q), [1971, 10]):pl(g, q)). lemma(1983, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, a, s), [1971, 12]):pl(g, s)). lemma(1984, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(s), [45, 1983, 1903, 28]):goal). lemma(1985, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(1986, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(p, l, o), [1893, el(l, o)]):el(p, o)). lemma(1987, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(p, o), [1986]):el(o, p)). lemma(1988, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(n, l, o), [1965, el(l, o)]):el(n, o)). lemma(1989, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [1988]):goal). lemma(1990, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1970), [1984, 1989]):goal). lemma(1991, [ep(d, f), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1927), [1964, 1990]):goal). lemma(1992, [el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(1993, [el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(i, s, m), [28, 1992]):pl(i, m)). lemma(1994, [el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, r, d, i), [6, 19, 1993, 27]): (ep(d, i);el(m, r))). lemma(1995, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(1996, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, i), [1712, ep(d, i)]):ep(c, i)). lemma(1997, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, i), [1996]):ep(i, c)). lemma(1998, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, i), [1717, ep(d, i)]):ep(e, i)). lemma(1999, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, i), [1998]):ep(i, e)). lemma(2000, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, c, i), [ep(a, c), 1996]):ep(a, i)). lemma(2001, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, i), [2000]):ep(i, a)). lemma(2002, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, i), [1896, 2000]):ep(h, i)). lemma(2003, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, i), [2002]):ep(i, h)). lemma(2004, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, p), [1995, 17]):pl(i, p)). lemma(2005, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(i, d, o), [1995, 1713]):pl(i, o)). lemma(2006, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(o), [41, 24, 1904, 2005]):goal). lemma(2007, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(2008, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(s, m, r), [1992, el(m, r)]):el(s, r)). lemma(2009, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal3, [2008]):goal). lemma(2010, [el(m, s), ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1994), [2006, 2009]):goal). lemma(2011, [ep(a, h), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1907), [1991, 2010]):goal). lemma(2012, [el(l, q), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(2013, [el(l, q), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(p, l, q), [1893, el(l, q)]):el(p, q)). lemma(2014, [el(l, q), el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(goal2, [2013]):goal). lemma(2015, [el(l, p), ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1895), [2011, 2014]):goal). lemma(2016, [ep(a, c), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1738), [1892, 2015]):goal). lemma(2017, [el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(2018, [el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(b, l, q), [13, el(l, q)]):pl(b, q)). lemma(2019, [el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(h, q, l), [26, 2017]):pl(h, l)). lemma(2020, [el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(p, l, b, d), [9, 13, 17, 1714]): (ep(b, d);el(p, l))). lemma(2021, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, d), [ep(b, d)]):ep(d, b)). lemma(2022, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, b), [1712, 2021]):ep(c, b)). lemma(2023, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, b), [2022]):ep(b, c)). lemma(2024, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, b), [1717, 2021]):ep(e, b)). lemma(2025, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, b), [2024]):ep(b, e)). lemma(2026, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, d, m), [ep(b, d), 6]):pl(b, m)). lemma(2027, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, d, r), [ep(b, d), 19]):pl(b, r)). lemma(2028, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, d, o), [ep(b, d), 1713]):pl(b, o)). lemma(2029, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, b, n), [2021, 7]):pl(d, n)). lemma(2030, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, d, n), [1712, 2029]):pl(c, n)). lemma(2031, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, n), [1717, 2029]):pl(e, n)). lemma(2032, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, n, d, f), [6, 2029, 22, 15]): (ep(d, f);el(m, n))). lemma(2033, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(2034, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, f), [1712, ep(d, f)]):ep(c, f)). lemma(2035, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, f), [2034]):ep(f, c)). lemma(2036, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, f), [1717, ep(d, f)]):ep(e, f)). lemma(2037, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, f), [2036]):ep(f, e)). lemma(2038, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, d, f), [ep(b, d), ep(d, f)]):ep(b, f)). lemma(2039, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, f), [2038]):ep(f, b)). lemma(2040, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(2041, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(c, d, s), [1712, 2040]):pl(c, s)). lemma(2042, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(e, d, s), [1717, 2040]):pl(e, s)). lemma(2043, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(b, d, s), [ep(b, d), 2040]):pl(b, s)). lemma(2044, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, p), [2033, 17]):pl(f, p)). lemma(2045, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, r), [2033, 19]):pl(f, r)). lemma(2046, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, o), [2033, 1713]):pl(f, o)). lemma(2047, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, l), [2033, 1714]):pl(f, l)). lemma(2048, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(f, d, q), [2033, 1720]):pl(f, q)). lemma(2049, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, s, a, b), [5, 12, 13, 2043]): (ep(a, b);el(l, s))). lemma(2050, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(2051, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, b, a), [2021, 2050]):ep(d, a)). lemma(2052, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, a), [2051]):ep(a, d)). lemma(2053, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, a), [1712, 2051]):ep(c, a)). lemma(2054, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, a), [2053]):ep(a, c)). lemma(2055, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, a), [1717, 2051]):ep(e, a)). lemma(2056, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, a), [2055]):ep(a, e)). lemma(2057, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, a), [2033, 2051]):ep(f, a)). lemma(2058, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, a), [2057]):ep(a, f)). lemma(2059, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(2060, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(2061, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, m), [ep(a, b), 2026]):pl(a, m)). lemma(2062, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, r), [ep(a, b), 2027]):pl(a, r)). lemma(2063, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(a, b, o), [ep(a, b), 2028]):pl(a, o)). lemma(2064, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(l, p, a, h), [5, 2060, 2019, 25]): (ep(a, h);el(l, p))). lemma(2065, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(2066, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, a, h), [2050, ep(a, h)]):ep(b, h)). lemma(2067, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, h), [2066]):ep(h, b)). lemma(2068, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, b, h), [2021, 2066]):ep(d, h)). lemma(2069, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, h), [2068]):ep(h, d)). lemma(2070, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, h), [1712, 2068]):ep(c, h)). lemma(2071, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, h), [2070]):ep(h, c)). lemma(2072, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, h), [1717, 2068]):ep(e, h)). lemma(2073, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, h), [2072]):ep(h, e)). lemma(2074, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, h), [2033, 2068]):ep(f, h)). lemma(2075, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, h), [2074]):ep(h, f)). lemma(2076, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, s), [2065, 12]):pl(h, s)). lemma(2077, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, n), [2065, 2059]):pl(h, n)). lemma(2078, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, m), [2065, 2061]):pl(h, m)). lemma(2079, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, r), [2065, 2062]):pl(h, r)). lemma(2080, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, a, o), [2065, 2063]):pl(h, o)). lemma(2081, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(n, o, b, g), [7, 2028, 23, 24]): (ep(b, g);el(n, o))). lemma(2082, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2083, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, b, g), [2021, ep(b, g)]):ep(d, g)). lemma(2084, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [2083]):ep(g, d)). lemma(2085, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, 2083]):ep(c, g)). lemma(2086, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [2085]):ep(g, c)). lemma(2087, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 2083]):ep(e, g)). lemma(2088, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [2087]):ep(g, e)). lemma(2089, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [2033, 2083]):ep(f, g)). lemma(2090, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [2089]):ep(g, f)). lemma(2091, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2092, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(a, g), [2091]):ep(g, a)). lemma(2093, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(h, a, g), [2065, 2091]):ep(h, g)). lemma(2094, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(h, g), [2093]):ep(g, h)). lemma(2095, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, p), [2082, 9]):pl(g, p)). lemma(2096, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, l), [2082, 13]):pl(g, l)). lemma(2097, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, q), [2082, 2018]):pl(g, q)). lemma(2098, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, m), [2082, 2026]):pl(g, m)). lemma(2099, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, r), [2082, 2027]):pl(g, r)). lemma(2100, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(r), [44, 2099, 2079, 27]):goal). lemma(2101, [el(n, o), ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(2102, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2081), [2100, 2101]):goal). lemma(2103, [el(l, p), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(2104, [el(l, p), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(q, l, p), [2017, el(l, p)]):el(q, p)). lemma(2105, [el(l, p), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(q, p), [2104]):el(p, q)). lemma(2106, [el(l, p), ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal2, [2105]):goal). lemma(2107, [ep(a, b), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2064), [2102, 2106]):goal). lemma(2108, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(2109, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(q, l, s), [2017, el(l, s)]):el(q, s)). lemma(2110, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(q, s), [2109]):el(s, q)). lemma(2111, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(h, q, s), [26, 2109]):pl(h, s)). lemma(2112, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(i, s, l), [28, 2108]):pl(i, l)). lemma(2113, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(i, s, q), [28, 2110]):pl(i, q)). lemma(2114, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(n, o, b, g), [7, 2028, 23, 24]): (ep(b, g);el(n, o))). lemma(2115, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2116, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, b, g), [2021, ep(b, g)]):ep(d, g)). lemma(2117, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [2116]):ep(g, d)). lemma(2118, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, 2116]):ep(c, g)). lemma(2119, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [2118]):ep(g, c)). lemma(2120, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, 2116]):ep(e, g)). lemma(2121, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [2120]):ep(g, e)). lemma(2122, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [2033, 2116]):ep(f, g)). lemma(2123, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(f, g), [2122]):ep(g, f)). lemma(2124, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, p), [2115, 9]):pl(g, p)). lemma(2125, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, b, l), [2115, 13]):pl(g, l)). lemma(2126, [ep(b, g), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(l), [38, 2125, 2019, 2112]):goal). lemma(2127, [el(n, o), el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(2128, [el(l, s), ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2114), [2126, 2127]):goal). lemma(2129, [ep(d, f), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2049), [2107, 2128]):goal). lemma(2130, [el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(2131, [el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lcon(g, n, m), [23, 2130]):pl(g, m)). lemma(2132, [el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(m, o, d, g), [6, 1713, 2131, 24]): (ep(d, g);el(m, o))). lemma(2133, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(2134, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, ep(d, g)]):ep(c, g)). lemma(2135, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, g), [2134]):ep(g, c)). lemma(2136, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, g), [1717, ep(d, g)]):ep(e, g)). lemma(2137, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, g), [2136]):ep(g, e)). lemma(2138, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(2139, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, g), [2138]):ep(g, b)). lemma(2140, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, d, p), [2133, 17]):pl(g, p)). lemma(2141, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, d, r), [2133, 19]):pl(g, r)). lemma(2142, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, d, l), [2133, 1714]):pl(g, l)). lemma(2143, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(g, d, q), [2133, 1720]):pl(g, q)). lemma(2144, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(unique(p, l, b, h), [9, 13, 25, 2019]): (ep(b, h);el(p, l))). lemma(2145, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(2146, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(d, b, h), [2021, ep(b, h)]):ep(d, h)). lemma(2147, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(d, h), [2146]):ep(h, d)). lemma(2148, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(c, d, h), [1712, 2146]):ep(c, h)). lemma(2149, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(c, h), [2148]):ep(h, c)). lemma(2150, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(e, d, h), [1717, 2146]):ep(e, h)). lemma(2151, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(e, h), [2150]):ep(h, e)). lemma(2152, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ptra(g, d, h), [2133, 2146]):ep(g, h)). lemma(2153, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(psym(g, h), [2152]):ep(h, g)). lemma(2154, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, n), [2145, 7]):pl(h, n)). lemma(2155, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, m), [2145, 2026]):pl(h, m)). lemma(2156, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(pcon(h, b, r), [2145, 2027]):pl(h, r)). lemma(2157, [ep(b, h), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal4(r), [44, 2141, 2156, 27]):goal). lemma(2158, [el(p, l), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(2159, [el(p, l), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(q, l, p), [2017, 2158]):el(q, p)). lemma(2160, [el(p, l), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(q, p), [2159]):el(p, q)). lemma(2161, [el(p, l), ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal2, [2160]):goal). lemma(2162, [ep(d, g), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2144), [2157, 2161]):goal). lemma(2163, [el(m, o), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(2164, [el(m, o), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(n, m, o), [2130, el(m, o)]):el(n, o)). lemma(2165, [el(m, o), el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal1, [2164]):goal). lemma(2166, [el(m, n), ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2132), [2162, 2165]):goal). lemma(2167, [ep(b, d), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2032), [2129, 2166]):goal). lemma(2168, [el(p, l), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(2169, [el(p, l), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(ltra(q, l, p), [2017, 2168]):el(q, p)). lemma(2170, [el(p, l), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(lsym(q, p), [2169]):el(p, q)). lemma(2171, [el(p, l), el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(goal2, [2170]):goal). lemma(2172, [el(l, q), ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(2020), [2167, 2171]):goal). lemma(2173, [ep(d, e), ep(d, c), pl(c, m)], ap(or_elim(1725), [2016, 2172]):goal). lemma(2174, [el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(2175, [el(m, o), ep(d, c), pl(c, m)], ap(lcon(f, m, o), [22, el(m, o)]):pl(f, o)). lemma(2176, [el(m, o), ep(d, c), pl(c, m)], ap(lcon(g, o, m), [24, 2174]):pl(g, m)). lemma(2177, [el(m, o), ep(d, c), pl(c, m)], ap(unique(p, l, b, d), [9, 13, 17, 1714]): (ep(b, d);el(p, l))). lemma(2178, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, d), [ep(b, d)]):ep(d, b)). lemma(2179, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, b), [1712, 2178]):ep(c, b)). lemma(2180, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, b), [2179]):ep(b, c)). lemma(2181, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(b, d, m), [ep(b, d), 6]):pl(b, m)). lemma(2182, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(b, d, r), [ep(b, d), 19]):pl(b, r)). lemma(2183, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(b, d, o), [ep(b, d), 1713]):pl(b, o)). lemma(2184, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(d, b, n), [2178, 7]):pl(d, n)). lemma(2185, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(c, d, n), [1712, 2184]):pl(c, n)). lemma(2186, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(m, n, d, f), [6, 2184, 22, 15]): (ep(d, f);el(m, n))). lemma(2187, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(2188, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, f), [1712, ep(d, f)]):ep(c, f)). lemma(2189, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, f), [2188]):ep(f, c)). lemma(2190, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, f), [ep(b, d), ep(d, f)]):ep(b, f)). lemma(2191, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, f), [2190]):ep(f, b)). lemma(2192, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(2193, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(c, d, s), [1712, 2192]):pl(c, s)). lemma(2194, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(b, d, s), [ep(b, d), 2192]):pl(b, s)). lemma(2195, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(f, d, p), [2187, 17]):pl(f, p)). lemma(2196, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(f, d, r), [2187, 19]):pl(f, r)). lemma(2197, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(f, d, l), [2187, 1714]):pl(f, l)). lemma(2198, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(l, s, a, b), [5, 12, 13, 2194]): (ep(a, b);el(l, s))). lemma(2199, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(2200, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(d, b, a), [2178, 2199]):ep(d, a)). lemma(2201, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, a), [2200]):ep(a, d)). lemma(2202, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, a), [1712, 2200]):ep(c, a)). lemma(2203, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, a), [2202]):ep(a, c)). lemma(2204, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, a), [2187, 2200]):ep(f, a)). lemma(2205, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, a), [2204]):ep(a, f)). lemma(2206, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(2207, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(2208, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(a, b, m), [ep(a, b), 2181]):pl(a, m)). lemma(2209, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(a, b, r), [ep(a, b), 2182]):pl(a, r)). lemma(2210, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(a, b, o), [ep(a, b), 2183]):pl(a, o)). lemma(2211, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(b, a, q), [2199, 10]):pl(b, q)). lemma(2212, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(d, b, q), [2178, 2211]):pl(d, q)). lemma(2213, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(c, d, q), [1712, 2212]):pl(c, q)). lemma(2214, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(f, d, q), [2187, 2212]):pl(f, q)). lemma(2215, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(m, n, d, g), [6, 2184, 2176, 23]): (ep(d, g);el(m, n))). lemma(2216, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(2217, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, ep(d, g)]):ep(c, g)). lemma(2218, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, g), [2217]):ep(g, c)). lemma(2219, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(2220, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, g), [2219]):ep(g, b)). lemma(2221, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [2187, ep(d, g)]):ep(f, g)). lemma(2222, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, g), [2221]):ep(g, f)). lemma(2223, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), 2219]):ep(a, g)). lemma(2224, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, g), [2223]):ep(g, a)). lemma(2225, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, p), [2216, 17]):pl(g, p)). lemma(2226, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, r), [2216, 19]):pl(g, r)). lemma(2227, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, l), [2216, 1714]):pl(g, l)). lemma(2228, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, s), [2216, 2192]):pl(g, s)). lemma(2229, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, q), [2216, 2212]):pl(g, q)). lemma(2230, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(m, q, d, e), [6, 2212, 14, 18]): (ep(d, e);el(m, q))). lemma(2231, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2232, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, e), [1712, ep(d, e)]):ep(c, e)). lemma(2233, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, e), [2232]):ep(e, c)). lemma(2234, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(2235, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, e), [2234]):ep(e, b)). lemma(2236, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, e), [2187, ep(d, e)]):ep(f, e)). lemma(2237, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, e), [2236]):ep(e, f)). lemma(2238, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(a, b, e), [ep(a, b), 2234]):ep(a, e)). lemma(2239, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, e), [2238]):ep(e, a)). lemma(2240, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(g, d, e), [2216, ep(d, e)]):ep(g, e)). lemma(2241, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(g, e), [2240]):ep(e, g)). lemma(2242, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(e, d, p), [2231, 17]):pl(e, p)). lemma(2243, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(e, d, r), [2231, 19]):pl(e, r)). lemma(2244, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(e, d, l), [2231, 1714]):pl(e, l)). lemma(2245, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(e, d, n), [2231, 2184]):pl(e, n)). lemma(2246, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(e, d, s), [2231, 2192]):pl(e, s)). lemma(2247, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(p, q, b, h), [9, 2211, 25, 26]): (ep(b, h);el(p, q))). lemma(2248, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(2249, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(d, b, h), [2178, ep(b, h)]):ep(d, h)). lemma(2250, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, h), [2249]):ep(h, d)). lemma(2251, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, h), [1712, 2249]):ep(c, h)). lemma(2252, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, h), [2251]):ep(h, c)). lemma(2253, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, h), [2187, 2249]):ep(f, h)). lemma(2254, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, h), [2253]):ep(h, f)). lemma(2255, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(2256, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, h), [2255]):ep(h, a)). lemma(2257, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(g, d, h), [2216, 2249]):ep(g, h)). lemma(2258, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(g, h), [2257]):ep(h, g)). lemma(2259, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(e, d, h), [2231, 2249]):ep(e, h)). lemma(2260, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(e, h), [2259]):ep(h, e)). lemma(2261, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, b, n), [2248, 7]):pl(h, n)). lemma(2262, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, b, l), [2248, 13]):pl(h, l)). lemma(2263, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, b, m), [2248, 2181]):pl(h, m)). lemma(2264, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, b, r), [2248, 2182]):pl(h, r)). lemma(2265, [ep(b, h), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal4(r), [44, 2226, 2264, 27]):goal). lemma(2266, [el(p, q), ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal2, [el(p, q)]):goal). lemma(2267, [ep(d, e), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2247), [2265, 2266]):goal). lemma(2268, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(2269, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, q), [2174, el(m, q)]):el(o, q)). lemma(2270, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, q), [2269]):el(q, o)). lemma(2271, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lcon(h, q, m), [26, 2268]):pl(h, m)). lemma(2272, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lcon(h, q, o), [26, 2270]):pl(h, o)). lemma(2273, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(m, p, d, h), [6, 17, 2271, 25]): (ep(d, h);el(m, p))). lemma(2274, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(2275, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, h), [1712, ep(d, h)]):ep(c, h)). lemma(2276, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, h), [2275]):ep(h, c)). lemma(2277, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, h), [ep(b, d), ep(d, h)]):ep(b, h)). lemma(2278, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, h), [2277]):ep(h, b)). lemma(2279, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, h), [2187, ep(d, h)]):ep(f, h)). lemma(2280, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, h), [2279]):ep(h, f)). lemma(2281, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(a, b, h), [ep(a, b), 2277]):ep(a, h)). lemma(2282, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, h), [2281]):ep(h, a)). lemma(2283, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(g, d, h), [2216, ep(d, h)]):ep(g, h)). lemma(2284, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(g, h), [2283]):ep(h, g)). lemma(2285, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, d, r), [2274, 19]):pl(h, r)). lemma(2286, [ep(d, h), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal4(r), [44, 2226, 2285, 27]):goal). lemma(2287, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(2288, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, p), [2174, el(m, p)]):el(o, p)). lemma(2289, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, p), [2288]):el(p, o)). lemma(2290, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(q, m, p), [2268, el(m, p)]):el(q, p)). lemma(2291, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(q, p), [2290]):el(p, q)). lemma(2292, [el(m, p), el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal2, [2291]):goal). lemma(2293, [el(m, q), ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2273), [2286, 2292]):goal). lemma(2294, [ep(d, g), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2230), [2267, 2293]):goal). lemma(2295, [el(m, n), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(2296, [el(m, n), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, n), [2174, el(m, n)]):el(o, n)). lemma(2297, [el(m, n), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, n), [2296]):el(n, o)). lemma(2298, [el(m, n), ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal1, [2297]):goal). lemma(2299, [ep(a, b), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2215), [2294, 2298]):goal). lemma(2300, [el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(2301, [el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lcon(i, s, l), [28, 2300]):pl(i, l)). lemma(2302, [el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(m, n, d, g), [6, 2184, 2176, 23]): (ep(d, g);el(m, n))). lemma(2303, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(2304, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(c, d, g), [1712, ep(d, g)]):ep(c, g)). lemma(2305, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, g), [2304]):ep(g, c)). lemma(2306, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(2307, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, g), [2306]):ep(g, b)). lemma(2308, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, g), [2187, ep(d, g)]):ep(f, g)). lemma(2309, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, g), [2308]):ep(g, f)). lemma(2310, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, p), [2303, 17]):pl(g, p)). lemma(2311, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, r), [2303, 19]):pl(g, r)). lemma(2312, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, l), [2303, 1714]):pl(g, l)). lemma(2313, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, d, s), [2303, 2192]):pl(g, s)). lemma(2314, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(unique(r, l, c, i), [11, 21, 27, 2301]): (ep(c, i);el(r, l))). lemma(2315, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(2316, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(d, c, i), [ep(d, c), ep(c, i)]):ep(d, i)). lemma(2317, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(d, i), [2316]):ep(i, d)). lemma(2318, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(b, d, i), [ep(b, d), 2316]):ep(b, i)). lemma(2319, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(b, i), [2318]):ep(i, b)). lemma(2320, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(f, d, i), [2187, 2316]):ep(f, i)). lemma(2321, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, i), [2320]):ep(i, f)). lemma(2322, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ptra(g, d, i), [2303, 2316]):ep(g, i)). lemma(2323, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(psym(g, i), [2322]):ep(i, g)). lemma(2324, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(i, c, o), [2315, 8]):pl(i, o)). lemma(2325, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(i, c, m), [2315, pl(c, m)]):pl(i, m)). lemma(2326, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(pcon(i, c, p), [2315, 1715]):pl(i, p)). lemma(2327, [ep(c, i), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal4(p), [42, 2310, 25, 2326]):goal). lemma(2328, [el(r, l), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(2329, [el(r, l), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(s, l, r), [2300, 2328]):el(s, r)). lemma(2330, [el(r, l), ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal3, [2329]):goal). lemma(2331, [ep(d, g), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2314), [2327, 2330]):goal). lemma(2332, [el(m, n), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(2333, [el(m, n), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, n), [2174, el(m, n)]):el(o, n)). lemma(2334, [el(m, n), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, n), [2333]):el(n, o)). lemma(2335, [el(m, n), el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal1, [2334]):goal). lemma(2336, [el(l, s), ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2302), [2331, 2335]):goal). lemma(2337, [ep(d, f), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2198), [2299, 2336]):goal). lemma(2338, [el(m, n), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(2339, [el(m, n), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, n), [2174, el(m, n)]):el(o, n)). lemma(2340, [el(m, n), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, n), [2339]):el(n, o)). lemma(2341, [el(m, n), ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(goal1, [2340]):goal). lemma(2342, [ep(b, d), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2186), [2337, 2341]):goal). lemma(2343, [el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(2344, [el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lcon(a, l, p), [5, 2343]):pl(a, p)). lemma(2345, [el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lcon(h, p, l), [25, el(p, l)]):pl(h, l)). lemma(2346, [el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(unique(l, q, a, h), [5, 10, 2345, 26]): (ep(a, h);el(l, q))). lemma(2347, [ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(2348, [ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(pcon(h, a, s), [2347, 12]):pl(h, s)). lemma(2349, [ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(unique(n, m, f, g), [15, 22, 23, 2176]): (ep(f, g);el(n, m))). lemma(2350, [ep(f, g), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(psym(f, g), [ep(f, g)]):ep(g, f)). lemma(2351, [ep(f, g), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(pcon(g, f, s), [2350, 20]):pl(g, s)). lemma(2352, [ep(f, g), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(goal4(s), [45, 2351, 2348, 28]):goal). lemma(2353, [el(n, m), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lsym(n, m), [el(n, m)]):el(m, n)). lemma(2354, [el(n, m), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(ltra(o, m, n), [2174, 2353]):el(o, n)). lemma(2355, [el(n, m), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lsym(o, n), [2354]):el(n, o)). lemma(2356, [el(n, m), ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(goal1, [2355]):goal). lemma(2357, [ep(a, h), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2349), [2352, 2356]):goal). lemma(2358, [el(l, q), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(2359, [el(l, q), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(ltra(p, l, q), [el(p, l), el(l, q)]):el(p, q)). lemma(2360, [el(l, q), el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(goal2, [2359]):goal). lemma(2361, [el(p, l), el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2346), [2357, 2360]):goal). lemma(2362, [el(m, o), ep(d, c), pl(c, m)], ap(or_elim(2177), [2342, 2361]):goal). lemma(2363, [ep(d, c), pl(c, m)], ap(or_elim(1716), [2173, 2362]):goal). lemma(2364, [el(m, r), pl(c, m)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(2365, [el(m, r), pl(c, m)], ap(lcon(e, m, r), [14, el(m, r)]):pl(e, r)). lemma(2366, [el(m, r), pl(c, m)], ap(lcon(f, m, r), [22, el(m, r)]):pl(f, r)). lemma(2367, [el(m, r), pl(c, m)], ap(lcon(i, r, m), [27, 2364]):pl(i, m)). lemma(2368, [el(m, r), pl(c, m)], ap(unique(o, r, c, e), [8, 11, 16, 2365]): (ep(c, e);el(o, r))). lemma(2369, [ep(c, e), el(m, r), pl(c, m)], ap(psym(c, e), [ep(c, e)]):ep(e, c)). lemma(2370, [ep(c, e), el(m, r), pl(c, m)], ap(pcon(c, e, q), [ep(c, e), 18]):pl(c, q)). lemma(2371, [ep(c, e), el(m, r), pl(c, m)], ap(pcon(e, c, l), [2369, 21]):pl(e, l)). lemma(2372, [ep(c, e), el(m, r), pl(c, m)], ap(unique(l, q, a, c), [5, 10, 21, 2370]): (ep(a, c);el(l, q))). lemma(2373, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(2374, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, a), [2369, 2373]):ep(e, a)). lemma(2375, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, a), [2374]):ep(a, e)). lemma(2376, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(2377, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(2378, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(a, c, m), [ep(a, c), pl(c, m)]):pl(a, m)). lemma(2379, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(c, a, s), [2373, 12]):pl(c, s)). lemma(2380, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(e, c, s), [2369, 2379]):pl(e, s)). lemma(2381, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(r, s, c, i), [11, 2379, 27, 28]): (ep(c, i);el(r, s))). lemma(2382, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(2383, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, i), [2369, ep(c, i)]):ep(e, i)). lemma(2384, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, i), [2383]):ep(i, e)). lemma(2385, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(a, c, i), [ep(a, c), ep(c, i)]):ep(a, i)). lemma(2386, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, i), [2385]):ep(i, a)). lemma(2387, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, c, o), [2382, 8]):pl(i, o)). lemma(2388, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, c, l), [2382, 21]):pl(i, l)). lemma(2389, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, c, q), [2382, 2370]):pl(i, q)). lemma(2390, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(r, s, c, f), [11, 2379, 2366, 20]): (ep(c, f);el(r, s))). lemma(2391, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, f), [ep(c, f)]):ep(f, c)). lemma(2392, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, f), [2369, ep(c, f)]):ep(e, f)). lemma(2393, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, f), [2392]):ep(f, e)). lemma(2394, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(a, c, f), [ep(a, c), ep(c, f)]):ep(a, f)). lemma(2395, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, f), [2394]):ep(f, a)). lemma(2396, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, f), [2382, ep(c, f)]):ep(i, f)). lemma(2397, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, f), [2396]):ep(f, i)). lemma(2398, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(c, f, n), [ep(c, f), 15]):pl(c, n)). lemma(2399, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(e, c, n), [2369, 2398]):pl(e, n)). lemma(2400, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(a, c, n), [ep(a, c), 2398]):pl(a, n)). lemma(2401, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, c, n), [2382, 2398]):pl(i, n)). lemma(2402, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(f, c, o), [2391, 8]):pl(f, o)). lemma(2403, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(f, c, l), [2391, 21]):pl(f, l)). lemma(2404, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(f, c, q), [2391, 2370]):pl(f, q)). lemma(2405, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(l, n, a, b), [5, 2400, 13, 7]): (ep(a, b);el(l, n))). lemma(2406, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(2407, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(c, a, b), [2373, ep(a, b)]):ep(c, b)). lemma(2408, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, b), [2407]):ep(b, c)). lemma(2409, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, b), [2369, 2407]):ep(e, b)). lemma(2410, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, b), [2409]):ep(b, e)). lemma(2411, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, b), [2382, 2407]):ep(i, b)). lemma(2412, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, b), [2411]):ep(b, i)). lemma(2413, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(f, c, b), [2391, 2407]):ep(f, b)). lemma(2414, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, b), [2413]):ep(b, f)). lemma(2415, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(2416, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(c, a, p), [2373, 2415]):pl(c, p)). lemma(2417, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(e, c, p), [2369, 2416]):pl(e, p)). lemma(2418, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, c, p), [2382, 2416]):pl(i, p)). lemma(2419, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(f, c, p), [2391, 2416]):pl(f, p)). lemma(2420, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(b, a, q), [2406, 10]):pl(b, q)). lemma(2421, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(b, a, s), [2406, 12]):pl(b, s)). lemma(2422, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(b, a, o), [2406, 2376]):pl(b, o)). lemma(2423, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(b, a, r), [2406, 2377]):pl(b, r)). lemma(2424, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(b, a, m), [2406, 2378]):pl(b, m)). lemma(2425, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(m, p, d, e), [6, 17, 14, 2417]): (ep(d, e);el(m, p))). lemma(2426, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2427, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(c, e, d), [ep(c, e), 2426]):ep(c, d)). lemma(2428, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, d), [2427]):ep(d, c)). lemma(2429, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(a, c, d), [ep(a, c), 2427]):ep(a, d)). lemma(2430, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, d), [2429]):ep(d, a)). lemma(2431, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, d), [2382, 2427]):ep(i, d)). lemma(2432, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, d), [2431]):ep(d, i)). lemma(2433, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(f, c, d), [2391, 2427]):ep(f, d)). lemma(2434, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, d), [2433]):ep(d, f)). lemma(2435, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(b, a, d), [2406, 2429]):ep(b, d)). lemma(2436, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(b, d), [2435]):ep(d, b)). lemma(2437, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(2438, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(2439, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(d, e, l), [ep(d, e), 2371]):pl(d, l)). lemma(2440, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(d, e, s), [ep(d, e), 2380]):pl(d, s)). lemma(2441, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(d, e, n), [ep(d, e), 2399]):pl(d, n)). lemma(2442, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(n, o, b, g), [7, 2422, 23, 24]): (ep(b, g);el(n, o))). lemma(2443, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2444, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2445, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, g), [2444]):ep(g, a)). lemma(2446, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(c, a, g), [2373, 2444]):ep(c, g)). lemma(2447, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, g), [2446]):ep(g, c)). lemma(2448, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, g), [2369, 2446]):ep(e, g)). lemma(2449, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, g), [2448]):ep(g, e)). lemma(2450, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, g), [2382, 2446]):ep(i, g)). lemma(2451, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, g), [2450]):ep(g, i)). lemma(2452, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(f, c, g), [2391, 2446]):ep(f, g)). lemma(2453, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, g), [2452]):ep(g, f)). lemma(2454, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(d, e, g), [ep(d, e), 2448]):ep(d, g)). lemma(2455, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(d, g), [2454]):ep(g, d)). lemma(2456, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(g, b, p), [2443, 9]):pl(g, p)). lemma(2457, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal4(p), [42, 2456, 25, 2418]):goal). lemma(2458, [el(n, o), ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(2459, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2442), [2457, 2458]):goal). lemma(2460, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(2461, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ltra(r, m, p), [2364, el(m, p)]):el(r, p)). lemma(2462, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(r, p), [2461]):el(p, r)). lemma(2463, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lcon(h, p, m), [25, 2460]):pl(h, m)). lemma(2464, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lcon(h, p, r), [25, 2462]):pl(h, r)). lemma(2465, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(n, o, b, g), [7, 2422, 23, 24]): (ep(b, g);el(n, o))). lemma(2466, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2467, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2468, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, g), [2467]):ep(g, a)). lemma(2469, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(c, a, g), [2373, 2467]):ep(c, g)). lemma(2470, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, g), [2469]):ep(g, c)). lemma(2471, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, g), [2369, 2469]):ep(e, g)). lemma(2472, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, g), [2471]):ep(g, e)). lemma(2473, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, g), [2382, 2469]):ep(i, g)). lemma(2474, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, g), [2473]):ep(g, i)). lemma(2475, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(f, c, g), [2391, 2469]):ep(f, g)). lemma(2476, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, g), [2475]):ep(g, f)). lemma(2477, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(g, b, p), [2466, 9]):pl(g, p)). lemma(2478, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal4(p), [42, 2477, 25, 2418]):goal). lemma(2479, [el(n, o), el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal1, [el(n, o)]):goal). lemma(2480, [el(m, p), ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2465), [2478, 2479]):goal). lemma(2481, [ep(a, b), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2425), [2459, 2480]):goal). lemma(2482, [el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(2483, [el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lcon(g, n, l), [23, 2482]):pl(g, l)). lemma(2484, [el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(unique(l, o, a, g), [5, 2376, 2483, 24]): (ep(a, g);el(l, o))). lemma(2485, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(2486, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(c, a, g), [2373, ep(a, g)]):ep(c, g)). lemma(2487, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(c, g), [2486]):ep(g, c)). lemma(2488, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(e, c, g), [2369, 2486]):ep(e, g)). lemma(2489, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(e, g), [2488]):ep(g, e)). lemma(2490, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(i, c, g), [2382, 2486]):ep(i, g)). lemma(2491, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(i, g), [2490]):ep(g, i)). lemma(2492, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ptra(f, c, g), [2391, 2486]):ep(f, g)). lemma(2493, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, g), [2492]):ep(g, f)). lemma(2494, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(pcon(g, a, q), [2485, 10]):pl(g, q)). lemma(2495, [ep(a, g), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal4(q), [43, 2494, 26, 2389]):goal). lemma(2496, [el(l, o), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(2497, [el(l, o), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(ltra(n, l, o), [2482, el(l, o)]):el(n, o)). lemma(2498, [el(l, o), el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal1, [2497]):goal). lemma(2499, [el(l, n), ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2484), [2495, 2498]):goal). lemma(2500, [ep(c, f), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2405), [2481, 2499]):goal). lemma(2501, [el(r, s), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(2502, [el(r, s), ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal3, [2501]):goal). lemma(2503, [ep(c, i), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2390), [2500, 2502]):goal). lemma(2504, [el(r, s), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(2505, [el(r, s), ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(goal3, [2504]):goal). lemma(2506, [ep(a, c), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2381), [2503, 2505]):goal). lemma(2507, [el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(2508, [el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lcon(b, l, q), [13, el(l, q)]):pl(b, q)). lemma(2509, [el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lcon(h, q, l), [26, 2507]):pl(h, l)). lemma(2510, [el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(unique(p, l, b, h), [9, 13, 25, 2509]): (ep(b, h);el(p, l))). lemma(2511, [ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(2512, [ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(pcon(h, b, n), [2511, 7]):pl(h, n)). lemma(2513, [ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(unique(s, m, f, i), [20, 22, 28, 2367]): (ep(f, i);el(s, m))). lemma(2514, [ep(f, i), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(psym(f, i), [ep(f, i)]):ep(i, f)). lemma(2515, [ep(f, i), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(pcon(i, f, n), [2514, 15]):pl(i, n)). lemma(2516, [ep(f, i), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(goal4(n), [40, 23, 2512, 2515]):goal). lemma(2517, [el(s, m), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lsym(s, m), [el(s, m)]):el(m, s)). lemma(2518, [el(s, m), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(ltra(r, m, s), [2364, 2517]):el(r, s)). lemma(2519, [el(s, m), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lsym(r, s), [2518]):el(s, r)). lemma(2520, [el(s, m), ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(goal3, [2519]):goal). lemma(2521, [ep(b, h), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2513), [2516, 2520]):goal). lemma(2522, [el(p, l), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(2523, [el(p, l), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(ltra(q, l, p), [2507, 2522]):el(q, p)). lemma(2524, [el(p, l), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(lsym(q, p), [2523]):el(p, q)). lemma(2525, [el(p, l), el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(goal2, [2524]):goal). lemma(2526, [el(l, q), ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2510), [2521, 2525]):goal). lemma(2527, [ep(c, e), el(m, r), pl(c, m)], ap(or_elim(2372), [2506, 2526]):goal). lemma(2528, [el(o, r), el(m, r), pl(c, m)], ap(lsym(o, r), [el(o, r)]):el(r, o)). lemma(2529, [el(o, r), el(m, r), pl(c, m)], ap(ltra(m, r, o), [el(m, r), 2528]):el(m, o)). lemma(2530, [el(o, r), el(m, r), pl(c, m)], ap(lsym(m, o), [2529]):el(o, m)). lemma(2531, [el(o, r), el(m, r), pl(c, m)], ap(lcon(d, m, o), [6, 2529]):pl(d, o)). lemma(2532, [el(o, r), el(m, r), pl(c, m)], ap(lcon(f, m, o), [22, 2529]):pl(f, o)). lemma(2533, [el(o, r), el(m, r), pl(c, m)], ap(lcon(g, o, r), [24, el(o, r)]):pl(g, r)). lemma(2534, [el(o, r), el(m, r), pl(c, m)], ap(lcon(g, o, m), [24, 2530]):pl(g, m)). lemma(2535, [el(o, r), el(m, r), pl(c, m)], ap(lcon(i, r, o), [27, 2528]):pl(i, o)). lemma(2536, [el(o, r), el(m, r), pl(c, m)], ap(unique(n, m, f, g), [15, 22, 23, 2534]): (ep(f, g);el(n, m))). lemma(2537, [ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(psym(f, g), [ep(f, g)]):ep(g, f)). lemma(2538, [ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(pcon(g, f, s), [2537, 20]):pl(g, s)). lemma(2539, [ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(unique(s, m, f, i), [20, 22, 28, 2367]): (ep(f, i);el(s, m))). lemma(2540, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(psym(f, i), [ep(f, i)]):ep(i, f)). lemma(2541, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ptra(g, f, i), [2537, ep(f, i)]):ep(g, i)). lemma(2542, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(psym(g, i), [2541]):ep(i, g)). lemma(2543, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(pcon(i, f, n), [2540, 15]):pl(i, n)). lemma(2544, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(line(a, d), [29, 30]): (dom(A), pl(a, A), pl(d, A))). lemma(2545, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(2546, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(line(b, e), [31, 33]): (dom(A), pl(b, A), pl(e, A))). lemma(2547, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lref(b, par(1)), [pl(b, par(1))]):el(par(1), par(1))). lemma(2548, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(line(c, h), [32, 36]): (dom(A), pl(c, A), pl(h, A))). lemma(2549, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lref(c, par(2)), [pl(c, par(2))]):el(par(2), par(2))). lemma(2550, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(line(f, h), [34, 36]): (dom(A), pl(f, A), pl(h, A))). lemma(2551, [ (dom(par(3)), pl(f, par(3)), pl(h, par(3))), (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lref(f, par(3)), [pl(f, par(3))]):el(par(3), par(3))). lemma(2552, [ (dom(par(3)), pl(f, par(3)), pl(h, par(3))), (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(pcon(g, f, par(3)), [2537, pl(f, par(3))]):pl(g, par(3))). lemma(2553, [ (dom(par(3)), pl(f, par(3)), pl(h, par(3))), (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(pcon(i, f, par(3)), [2540, pl(f, par(3))]):pl(i, par(3))). lemma(2554, [ (dom(par(3)), pl(f, par(3)), pl(h, par(3))), (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(goal4(par(3)), [2551, 2552, pl(h, par(3)), 2553]):goal). lemma(2555, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ex_elim(2550), 2554):goal). lemma(2556, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ex_elim(2548), 2555):goal). lemma(2557, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ex_elim(2546), 2556):goal). lemma(2558, [ep(f, i), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ex_elim(2544), 2557):goal). lemma(2559, [el(s, m), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lsym(s, m), [el(s, m)]):el(m, s)). lemma(2560, [el(s, m), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(ltra(r, m, s), [2364, 2559]):el(r, s)). lemma(2561, [el(s, m), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(lsym(r, s), [2560]):el(s, r)). lemma(2562, [el(s, m), ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(goal3, [2561]):goal). lemma(2563, [ep(f, g), el(o, r), el(m, r), pl(c, m)], ap(or_elim(2539), [2558, 2562]):goal). lemma(2564, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(lsym(n, m), [el(n, m)]):el(m, n)). lemma(2565, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(ltra(r, m, n), [2364, 2564]):el(r, n)). lemma(2566, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(lsym(r, n), [2565]):el(n, r)). lemma(2567, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(ltra(o, r, n), [el(o, r), 2565]):el(o, n)). lemma(2568, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(lsym(o, n), [2567]):el(n, o)). lemma(2569, [el(n, m), el(o, r), el(m, r), pl(c, m)], ap(goal1, [2568]):goal). lemma(2570, [el(o, r), el(m, r), pl(c, m)], ap(or_elim(2536), [2563, 2569]):goal). lemma(2571, [el(m, r), pl(c, m)], ap(or_elim(2368), [2527, 2570]):goal). lemma(2572, [pl(c, m)], ap(or_elim(1711), [2363, 2571]):goal). lemma(2573, [pl(d, l)], ap(unique(p, l, b, d), [9, 13, 17, pl(d, l)]): (ep(b, d);el(p, l))). lemma(2574, [ep(b, d), pl(d, l)], ap(psym(b, d), [ep(b, d)]):ep(d, b)). lemma(2575, [ep(b, d), pl(d, l)], ap(pcon(b, d, m), [ep(b, d), 6]):pl(b, m)). lemma(2576, [ep(b, d), pl(d, l)], ap(pcon(b, d, r), [ep(b, d), 19]):pl(b, r)). lemma(2577, [ep(b, d), pl(d, l)], ap(pcon(d, b, n), [2574, 7]):pl(d, n)). lemma(2578, [ep(b, d), pl(d, l)], ap(unique(m, n, d, f), [6, 2577, 22, 15]): (ep(d, f);el(m, n))). lemma(2579, [ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(2580, [ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, f), [ep(b, d), ep(d, f)]):ep(b, f)). lemma(2581, [ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, f), [2580]):ep(f, b)). lemma(2582, [ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(2583, [ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, d, s), [ep(b, d), 2582]):pl(b, s)). lemma(2584, [ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, p), [2579, 17]):pl(f, p)). lemma(2585, [ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, r), [2579, 19]):pl(f, r)). lemma(2586, [ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, l), [2579, pl(d, l)]):pl(f, l)). lemma(2587, [ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, s, a, b), [5, 12, 13, 2583]): (ep(a, b);el(l, s))). lemma(2588, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(2589, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, a), [2574, 2588]):ep(d, a)). lemma(2590, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, a), [2589]):ep(a, d)). lemma(2591, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, a), [2579, 2589]):ep(f, a)). lemma(2592, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, a), [2591]):ep(a, f)). lemma(2593, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(2594, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(2595, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, m), [ep(a, b), 2575]):pl(a, m)). lemma(2596, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, r), [ep(a, b), 2576]):pl(a, r)). lemma(2597, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, a, q), [2588, 10]):pl(b, q)). lemma(2598, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, b, q), [2574, 2597]):pl(d, q)). lemma(2599, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, q), [2579, 2598]):pl(f, q)). lemma(2600, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, r, a, c), [5, 2596, 21, 11]): (ep(a, c);el(l, r))). lemma(2601, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(2602, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, a, c), [2588, ep(a, c)]):ep(b, c)). lemma(2603, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, c), [2602]):ep(c, b)). lemma(2604, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, c), [2574, 2602]):ep(d, c)). lemma(2605, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, c), [2604]):ep(c, d)). lemma(2606, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, c), [2579, 2604]):ep(f, c)). lemma(2607, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, c), [2606]):ep(c, f)). lemma(2608, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(2609, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, a, o), [2588, 2608]):pl(b, o)). lemma(2610, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, b, o), [2574, 2609]):pl(d, o)). lemma(2611, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, o), [2579, 2610]):pl(f, o)). lemma(2612, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, q), [2601, 10]):pl(c, q)). lemma(2613, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, s), [2601, 12]):pl(c, s)). lemma(2614, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, n), [2601, 2593]):pl(c, n)). lemma(2615, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, p), [2601, 2594]):pl(c, p)). lemma(2616, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, m), [2601, 2595]):pl(c, m)). lemma(2617, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, q, d, e), [6, 2598, 14, 18]): (ep(d, e);el(m, q))). lemma(2618, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2619, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(2620, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, e), [2619]):ep(e, b)). lemma(2621, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, e), [2579, ep(d, e)]):ep(f, e)). lemma(2622, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, e), [2621]):ep(e, f)). lemma(2623, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, e), [ep(a, b), 2619]):ep(a, e)). lemma(2624, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, e), [2623]):ep(e, a)). lemma(2625, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, e), [2601, 2623]):ep(c, e)). lemma(2626, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, e), [2625]):ep(e, c)). lemma(2627, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, p), [2618, 17]):pl(e, p)). lemma(2628, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, r), [2618, 19]):pl(e, r)). lemma(2629, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, l), [2618, pl(d, l)]):pl(e, l)). lemma(2630, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, n), [2618, 2577]):pl(e, n)). lemma(2631, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, s), [2618, 2582]):pl(e, s)). lemma(2632, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(n, o, b, g), [7, 2609, 23, 24]): (ep(b, g);el(n, o))). lemma(2633, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2634, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, ep(b, g)]):ep(d, g)). lemma(2635, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2634]):ep(g, d)). lemma(2636, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2634]):ep(f, g)). lemma(2637, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2636]):ep(g, f)). lemma(2638, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2639, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [2638]):ep(g, a)). lemma(2640, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, g), [2601, 2638]):ep(c, g)). lemma(2641, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2640]):ep(g, c)). lemma(2642, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2618, 2634]):ep(e, g)). lemma(2643, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2642]):ep(g, e)). lemma(2644, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, p), [2633, 9]):pl(g, p)). lemma(2645, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, l), [2633, 13]):pl(g, l)). lemma(2646, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, m), [2633, 2575]):pl(g, m)). lemma(2647, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, r), [2633, 2576]):pl(g, r)). lemma(2648, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, s), [2633, 2583]):pl(g, s)). lemma(2649, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, q), [2633, 2597]):pl(g, q)). lemma(2650, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(p, q, b, h), [9, 2597, 25, 26]): (ep(b, h);el(p, q))). lemma(2651, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(2652, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, h), [2574, ep(b, h)]):ep(d, h)). lemma(2653, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, h), [2652]):ep(h, d)). lemma(2654, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, h), [2579, 2652]):ep(f, h)). lemma(2655, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, h), [2654]):ep(h, f)). lemma(2656, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(2657, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, h), [2656]):ep(h, a)). lemma(2658, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, h), [2601, 2656]):ep(c, h)). lemma(2659, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, h), [2658]):ep(h, c)). lemma(2660, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, h), [2618, 2652]):ep(e, h)). lemma(2661, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, h), [2660]):ep(h, e)). lemma(2662, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(g, b, h), [2633, ep(b, h)]):ep(g, h)). lemma(2663, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(g, h), [2662]):ep(h, g)). lemma(2664, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, b, n), [2651, 7]):pl(h, n)). lemma(2665, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, b, l), [2651, 13]):pl(h, l)). lemma(2666, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, b, m), [2651, 2575]):pl(h, m)). lemma(2667, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, b, r), [2651, 2576]):pl(h, r)). lemma(2668, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(r), [44, 2647, 2667, 27]):goal). lemma(2669, [el(p, q), ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal2, [el(p, q)]):goal). lemma(2670, [ep(b, g), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2650), [2668, 2669]):goal). lemma(2671, [el(n, o), ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(2672, [ep(d, e), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2632), [2670, 2671]):goal). lemma(2673, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(2674, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(h, q, m), [26, 2673]):pl(h, m)). lemma(2675, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, p, d, h), [6, 17, 2674, 25]): (ep(d, h);el(m, p))). lemma(2676, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(2677, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, h), [ep(b, d), ep(d, h)]):ep(b, h)). lemma(2678, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, h), [2677]):ep(h, b)). lemma(2679, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, h), [2579, ep(d, h)]):ep(f, h)). lemma(2680, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, h), [2679]):ep(h, f)). lemma(2681, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, h), [ep(a, b), 2677]):ep(a, h)). lemma(2682, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, h), [2681]):ep(h, a)). lemma(2683, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, h), [2601, 2681]):ep(c, h)). lemma(2684, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, h), [2683]):ep(h, c)). lemma(2685, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, r), [2676, 19]):pl(h, r)). lemma(2686, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, l), [2676, pl(d, l)]):pl(h, l)). lemma(2687, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, n), [2676, 2577]):pl(h, n)). lemma(2688, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, s), [2676, 2582]):pl(h, s)). lemma(2689, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, o), [2676, 2610]):pl(h, o)). lemma(2690, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, o, d, e), [6, 2610, 14, 16]): (ep(d, e);el(m, o))). lemma(2691, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2692, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(2693, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, e), [2692]):ep(e, b)). lemma(2694, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, e), [2579, ep(d, e)]):ep(f, e)). lemma(2695, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, e), [2694]):ep(e, f)). lemma(2696, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, e), [ep(a, b), 2692]):ep(a, e)). lemma(2697, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, e), [2696]):ep(e, a)). lemma(2698, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, e), [2601, 2696]):ep(c, e)). lemma(2699, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, e), [2698]):ep(e, c)). lemma(2700, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(h, d, e), [2676, ep(d, e)]):ep(h, e)). lemma(2701, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(h, e), [2700]):ep(e, h)). lemma(2702, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, p), [2691, 17]):pl(e, p)). lemma(2703, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, r), [2691, 19]):pl(e, r)). lemma(2704, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, l), [2691, pl(d, l)]):pl(e, l)). lemma(2705, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, n), [2691, 2577]):pl(e, n)). lemma(2706, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, s), [2691, 2582]):pl(e, s)). lemma(2707, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(n, o, b, g), [7, 2609, 23, 24]): (ep(b, g);el(n, o))). lemma(2708, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2709, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, ep(b, g)]):ep(d, g)). lemma(2710, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2709]):ep(g, d)). lemma(2711, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2709]):ep(f, g)). lemma(2712, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2711]):ep(g, f)). lemma(2713, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2714, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [2713]):ep(g, a)). lemma(2715, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, g), [2601, 2713]):ep(c, g)). lemma(2716, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2715]):ep(g, c)). lemma(2717, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(h, d, g), [2676, 2709]):ep(h, g)). lemma(2718, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(h, g), [2717]):ep(g, h)). lemma(2719, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2691, 2709]):ep(e, g)). lemma(2720, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2719]):ep(g, e)). lemma(2721, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, p), [2708, 9]):pl(g, p)). lemma(2722, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, l), [2708, 13]):pl(g, l)). lemma(2723, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, m), [2708, 2575]):pl(g, m)). lemma(2724, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, r), [2708, 2576]):pl(g, r)). lemma(2725, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(r), [44, 2724, 2685, 27]):goal). lemma(2726, [el(n, o), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(2727, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2707), [2725, 2726]):goal). lemma(2728, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(2729, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(q, m, o), [2673, el(m, o)]):el(q, o)). lemma(2730, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(q, o), [2729]):el(o, q)). lemma(2731, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(g, o, m), [24, 2728]):pl(g, m)). lemma(2732, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(g, o, q), [24, 2730]):pl(g, q)). lemma(2733, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, n, d, g), [6, 2577, 2731, 23]): (ep(d, g);el(m, n))). lemma(2734, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(2735, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(2736, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [2735]):ep(g, b)). lemma(2737, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, ep(d, g)]):ep(f, g)). lemma(2738, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2737]):ep(g, f)). lemma(2739, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), 2735]):ep(a, g)). lemma(2740, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [2739]):ep(g, a)). lemma(2741, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, g), [2601, 2739]):ep(c, g)). lemma(2742, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2741]):ep(g, c)). lemma(2743, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(h, d, g), [2676, ep(d, g)]):ep(h, g)). lemma(2744, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(h, g), [2743]):ep(g, h)). lemma(2745, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, p), [2734, 17]):pl(g, p)). lemma(2746, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, r), [2734, 19]):pl(g, r)). lemma(2747, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(r), [44, 2746, 2685, 27]):goal). lemma(2748, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(2749, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(q, m, n), [2673, el(m, n)]):el(q, n)). lemma(2750, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(q, n), [2749]):el(n, q)). lemma(2751, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(o, m, n), [2728, el(m, n)]):el(o, n)). lemma(2752, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(o, n), [2751]):el(n, o)). lemma(2753, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [2752]):goal). lemma(2754, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2733), [2747, 2753]):goal). lemma(2755, [ep(d, h), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2690), [2727, 2754]):goal). lemma(2756, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(2757, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(q, m, p), [2673, el(m, p)]):el(q, p)). lemma(2758, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(q, p), [2757]):el(p, q)). lemma(2759, [el(m, p), el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal2, [2758]):goal). lemma(2760, [el(m, q), ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2675), [2755, 2759]):goal). lemma(2761, [ep(a, c), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2617), [2672, 2760]):goal). lemma(2762, [el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(2763, [el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(i, r, l), [27, 2762]):pl(i, l)). lemma(2764, [el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, s, a, i), [5, 12, 2763, 28]): (ep(a, i);el(l, s))). lemma(2765, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(2766, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, a, i), [2588, ep(a, i)]):ep(b, i)). lemma(2767, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, i), [2766]):ep(i, b)). lemma(2768, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, i), [2574, 2766]):ep(d, i)). lemma(2769, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, i), [2768]):ep(i, d)). lemma(2770, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, i), [2579, 2768]):ep(f, i)). lemma(2771, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, i), [2770]):ep(i, f)). lemma(2772, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, q), [2765, 10]):pl(i, q)). lemma(2773, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, n), [2765, 2593]):pl(i, n)). lemma(2774, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, p), [2765, 2594]):pl(i, p)). lemma(2775, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, m), [2765, 2595]):pl(i, m)). lemma(2776, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, q, d, e), [6, 2598, 14, 18]): (ep(d, e);el(m, q))). lemma(2777, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2778, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(2779, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, e), [2778]):ep(e, b)). lemma(2780, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, e), [2579, ep(d, e)]):ep(f, e)). lemma(2781, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, e), [2780]):ep(e, f)). lemma(2782, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, e), [ep(a, b), 2778]):ep(a, e)). lemma(2783, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, e), [2782]):ep(e, a)). lemma(2784, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, e), [2765, 2782]):ep(i, e)). lemma(2785, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, e), [2784]):ep(e, i)). lemma(2786, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(2787, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, d, o), [ep(b, d), 2786]):pl(b, o)). lemma(2788, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, o), [2579, 2786]):pl(f, o)). lemma(2789, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, o), [ep(a, b), 2787]):pl(a, o)). lemma(2790, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, o), [2765, 2789]):pl(i, o)). lemma(2791, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, p), [2777, 17]):pl(e, p)). lemma(2792, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, r), [2777, 19]):pl(e, r)). lemma(2793, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, l), [2777, pl(d, l)]):pl(e, l)). lemma(2794, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, n), [2777, 2577]):pl(e, n)). lemma(2795, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, s), [2777, 2582]):pl(e, s)). lemma(2796, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, o, a, c), [5, 2789, 21, 8]): (ep(a, c);el(l, o))). lemma(2797, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(2798, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, a, c), [2588, ep(a, c)]):ep(b, c)). lemma(2799, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, c), [2798]):ep(c, b)). lemma(2800, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, c), [2574, 2798]):ep(d, c)). lemma(2801, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, c), [2800]):ep(c, d)). lemma(2802, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, c), [2579, 2800]):ep(f, c)). lemma(2803, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, c), [2802]):ep(c, f)). lemma(2804, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, c), [2765, ep(a, c)]):ep(i, c)). lemma(2805, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, c), [2804]):ep(c, i)). lemma(2806, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, c), [2777, 2800]):ep(e, c)). lemma(2807, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, c), [2806]):ep(c, e)). lemma(2808, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, q), [2797, 10]):pl(c, q)). lemma(2809, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, s), [2797, 12]):pl(c, s)). lemma(2810, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, n), [2797, 2593]):pl(c, n)). lemma(2811, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, p), [2797, 2594]):pl(c, p)). lemma(2812, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, a, m), [2797, 2595]):pl(c, m)). lemma(2813, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(n, o, b, g), [7, 2787, 23, 24]): (ep(b, g);el(n, o))). lemma(2814, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2815, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, ep(b, g)]):ep(d, g)). lemma(2816, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2815]):ep(g, d)). lemma(2817, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2815]):ep(f, g)). lemma(2818, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2817]):ep(g, f)). lemma(2819, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2820, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [2819]):ep(g, a)). lemma(2821, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, g), [2765, 2819]):ep(i, g)). lemma(2822, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, g), [2821]):ep(g, i)). lemma(2823, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2777, 2815]):ep(e, g)). lemma(2824, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2823]):ep(g, e)). lemma(2825, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, a, g), [2797, 2819]):ep(c, g)). lemma(2826, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2825]):ep(g, c)). lemma(2827, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, p), [2814, 9]):pl(g, p)). lemma(2828, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(p), [42, 2827, 25, 2774]):goal). lemma(2829, [el(n, o), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(2830, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2813), [2828, 2829]):goal). lemma(2831, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(2832, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(r, l, o), [2762, el(l, o)]):el(r, o)). lemma(2833, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(r, o), [2832]):el(o, r)). lemma(2834, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(g, o, l), [24, 2831]):pl(g, l)). lemma(2835, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(g, o, r), [24, 2833]):pl(g, r)). lemma(2836, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, n, a, g), [5, 2593, 2834, 23]): (ep(a, g);el(l, n))). lemma(2837, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(2838, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, a, g), [2588, ep(a, g)]):ep(b, g)). lemma(2839, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [2838]):ep(g, b)). lemma(2840, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, 2838]):ep(d, g)). lemma(2841, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2840]):ep(g, d)). lemma(2842, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2840]):ep(f, g)). lemma(2843, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2842]):ep(g, f)). lemma(2844, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, g), [2765, ep(a, g)]):ep(i, g)). lemma(2845, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, g), [2844]):ep(g, i)). lemma(2846, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2777, 2840]):ep(e, g)). lemma(2847, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2846]):ep(g, e)). lemma(2848, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, a, q), [2837, 10]):pl(g, q)). lemma(2849, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(q), [43, 2848, 26, 2772]):goal). lemma(2850, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(2851, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(r, l, n), [2762, el(l, n)]):el(r, n)). lemma(2852, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(r, n), [2851]):el(n, r)). lemma(2853, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(o, l, n), [2831, el(l, n)]):el(o, n)). lemma(2854, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(o, n), [2853]):el(n, o)). lemma(2855, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [2854]):goal). lemma(2856, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2836), [2849, 2855]):goal). lemma(2857, [ep(d, e), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2796), [2830, 2856]):goal). lemma(2858, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(2859, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(h, q, m), [26, 2858]):pl(h, m)). lemma(2860, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, p, d, h), [6, 17, 2859, 25]): (ep(d, h);el(m, p))). lemma(2861, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(2862, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, h), [ep(b, d), ep(d, h)]):ep(b, h)). lemma(2863, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, h), [2862]):ep(h, b)). lemma(2864, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, h), [2579, ep(d, h)]):ep(f, h)). lemma(2865, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, h), [2864]):ep(h, f)). lemma(2866, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, h), [ep(a, b), 2862]):ep(a, h)). lemma(2867, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, h), [2866]):ep(h, a)). lemma(2868, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, h), [2765, 2866]):ep(i, h)). lemma(2869, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, h), [2868]):ep(h, i)). lemma(2870, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, r), [2861, 19]):pl(h, r)). lemma(2871, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, l), [2861, pl(d, l)]):pl(h, l)). lemma(2872, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(h, d, n), [2861, 2577]):pl(h, n)). lemma(2873, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(n), [40, 23, 2872, 2773]):goal). lemma(2874, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(2875, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(q, m, p), [2858, el(m, p)]):el(q, p)). lemma(2876, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(q, p), [2875]):el(p, q)). lemma(2877, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal2, [2876]):goal). lemma(2878, [el(m, q), ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2860), [2873, 2877]):goal). lemma(2879, [ep(a, i), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2776), [2857, 2878]):goal). lemma(2880, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(2881, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(r, l, s), [2762, el(l, s)]):el(r, s)). lemma(2882, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(r, s), [2881]):el(s, r)). lemma(2883, [el(l, s), el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(goal3, [2882]):goal). lemma(2884, [el(l, r), ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2764), [2879, 2883]):goal). lemma(2885, [ep(a, b), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2600), [2761, 2884]):goal). lemma(2886, [el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(2887, [el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(c, l, s), [21, el(l, s)]):pl(c, s)). lemma(2888, [el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(i, s, l), [28, 2886]):pl(i, l)). lemma(2889, [el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(r, l, c, d), [11, 21, 19, pl(d, l)]): (ep(c, d);el(r, l))). lemma(2890, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(2891, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, c), [ep(b, d), 2890]):ep(b, c)). lemma(2892, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, c), [2891]):ep(c, b)). lemma(2893, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, c), [2579, 2890]):ep(f, c)). lemma(2894, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, c), [2893]):ep(c, f)). lemma(2895, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(2896, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, d, p), [ep(c, d), 17]):pl(c, p)). lemma(2897, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, d, n), [ep(c, d), 2577]):pl(c, n)). lemma(2898, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, c, o), [2890, 8]):pl(d, o)). lemma(2899, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, d, o), [ep(b, d), 2898]):pl(b, o)). lemma(2900, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, o), [2579, 2898]):pl(f, o)). lemma(2901, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, o, d, e), [6, 2898, 14, 16]): (ep(d, e);el(m, o))). lemma(2902, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(2903, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(2904, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, e), [2903]):ep(e, b)). lemma(2905, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, e), [2579, ep(d, e)]):ep(f, e)). lemma(2906, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, e), [2905]):ep(e, f)). lemma(2907, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(2908, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, e), [2907]):ep(e, c)). lemma(2909, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(2910, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(b, d, q), [ep(b, d), 2909]):pl(b, q)). lemma(2911, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(f, d, q), [2579, 2909]):pl(f, q)). lemma(2912, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(c, d, q), [ep(c, d), 2909]):pl(c, q)). lemma(2913, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, p), [2902, 17]):pl(e, p)). lemma(2914, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, r), [2902, 19]):pl(e, r)). lemma(2915, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, l), [2902, pl(d, l)]):pl(e, l)). lemma(2916, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, n), [2902, 2577]):pl(e, n)). lemma(2917, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(e, d, s), [2902, 2582]):pl(e, s)). lemma(2918, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, q, a, b), [5, 10, 13, 2910]): (ep(a, b);el(l, q))). lemma(2919, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(2920, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, a), [2574, 2919]):ep(d, a)). lemma(2921, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, a), [2920]):ep(a, d)). lemma(2922, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, a), [2579, 2920]):ep(f, a)). lemma(2923, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, a), [2922]):ep(a, f)). lemma(2924, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, a), [ep(c, d), 2920]):ep(c, a)). lemma(2925, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, a), [2924]):ep(a, c)). lemma(2926, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, a), [2902, 2920]):ep(e, a)). lemma(2927, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, a), [2926]):ep(a, e)). lemma(2928, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(2929, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(2930, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, m), [ep(a, b), 2575]):pl(a, m)). lemma(2931, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, r), [ep(a, b), 2576]):pl(a, r)). lemma(2932, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(a, b, o), [ep(a, b), 2899]):pl(a, o)). lemma(2933, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(l, r, a, i), [5, 2931, 2888, 27]): (ep(a, i);el(l, r))). lemma(2934, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(2935, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, a, i), [2919, ep(a, i)]):ep(b, i)). lemma(2936, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, i), [2935]):ep(i, b)). lemma(2937, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, i), [2574, 2935]):ep(d, i)). lemma(2938, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, i), [2937]):ep(i, d)). lemma(2939, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, i), [2579, 2937]):ep(f, i)). lemma(2940, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, i), [2939]):ep(i, f)). lemma(2941, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, i), [ep(c, d), 2937]):ep(c, i)). lemma(2942, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, i), [2941]):ep(i, c)). lemma(2943, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, i), [2902, 2937]):ep(e, i)). lemma(2944, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, i), [2943]):ep(i, e)). lemma(2945, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, q), [2934, 10]):pl(i, q)). lemma(2946, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, n), [2934, 2928]):pl(i, n)). lemma(2947, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, p), [2934, 2929]):pl(i, p)). lemma(2948, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, m), [2934, 2930]):pl(i, m)). lemma(2949, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, a, o), [2934, 2932]):pl(i, o)). lemma(2950, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(n, o, b, g), [7, 2899, 23, 24]): (ep(b, g);el(n, o))). lemma(2951, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2952, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, ep(b, g)]):ep(d, g)). lemma(2953, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2952]):ep(g, d)). lemma(2954, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2952]):ep(f, g)). lemma(2955, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2954]):ep(g, f)). lemma(2956, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, g), [ep(c, d), 2952]):ep(c, g)). lemma(2957, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2956]):ep(g, c)). lemma(2958, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2902, 2952]):ep(e, g)). lemma(2959, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2958]):ep(g, e)). lemma(2960, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(2961, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(a, g), [2960]):ep(g, a)). lemma(2962, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(i, a, g), [2934, 2960]):ep(i, g)). lemma(2963, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(i, g), [2962]):ep(g, i)). lemma(2964, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, p), [2951, 9]):pl(g, p)). lemma(2965, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(p), [42, 2964, 25, 2947]):goal). lemma(2966, [el(n, o), ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(2967, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2950), [2965, 2966]):goal). lemma(2968, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(2969, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(s, l, r), [2886, el(l, r)]):el(s, r)). lemma(2970, [el(l, r), ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal3, [2969]):goal). lemma(2971, [ep(a, b), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2933), [2967, 2970]):goal). lemma(2972, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(2973, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(s, l, q), [2886, el(l, q)]):el(s, q)). lemma(2974, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(s, q), [2973]):el(q, s)). lemma(2975, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(h, q, l), [26, 2972]):pl(h, l)). lemma(2976, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(h, q, s), [26, 2974]):pl(h, s)). lemma(2977, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(i, s, q), [28, 2973]):pl(i, q)). lemma(2978, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(n, o, b, g), [7, 2899, 23, 24]): (ep(b, g);el(n, o))). lemma(2979, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(2980, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, b, g), [2574, ep(b, g)]):ep(d, g)). lemma(2981, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [2980]):ep(g, d)). lemma(2982, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, 2980]):ep(f, g)). lemma(2983, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [2982]):ep(g, f)). lemma(2984, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, g), [ep(c, d), 2980]):ep(c, g)). lemma(2985, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [2984]):ep(g, c)). lemma(2986, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [2902, 2980]):ep(e, g)). lemma(2987, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(e, g), [2986]):ep(g, e)). lemma(2988, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, p), [2979, 9]):pl(g, p)). lemma(2989, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, b, l), [2979, 13]):pl(g, l)). lemma(2990, [ep(b, g), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(l), [38, 2989, 2975, 2888]):goal). lemma(2991, [el(n, o), el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(2992, [el(l, q), ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2978), [2990, 2991]):goal). lemma(2993, [ep(d, e), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2918), [2971, 2992]):goal). lemma(2994, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(2995, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lcon(g, o, m), [24, 2994]):pl(g, m)). lemma(2996, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(m, n, d, g), [6, 2577, 2995, 23]): (ep(d, g);el(m, n))). lemma(2997, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(2998, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(2999, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, g), [2998]):ep(g, b)). lemma(3000, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, g), [2579, ep(d, g)]):ep(f, g)). lemma(3001, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, g), [3000]):ep(g, f)). lemma(3002, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(3003, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, g), [3002]):ep(g, c)). lemma(3004, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, p), [2997, 17]):pl(g, p)). lemma(3005, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, r), [2997, 19]):pl(g, r)). lemma(3006, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, l), [2997, pl(d, l)]):pl(g, l)). lemma(3007, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(g, d, s), [2997, 2582]):pl(g, s)). lemma(3008, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(unique(r, l, c, i), [11, 21, 27, 2888]): (ep(c, i);el(r, l))). lemma(3009, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(3010, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(d, c, i), [2890, ep(c, i)]):ep(d, i)). lemma(3011, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(d, i), [3010]):ep(i, d)). lemma(3012, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(b, d, i), [ep(b, d), 3010]):ep(b, i)). lemma(3013, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(b, i), [3012]):ep(i, b)). lemma(3014, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(f, d, i), [2579, 3010]):ep(f, i)). lemma(3015, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(f, i), [3014]):ep(i, f)). lemma(3016, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ptra(g, d, i), [2997, 3010]):ep(g, i)). lemma(3017, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(psym(g, i), [3016]):ep(i, g)). lemma(3018, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, c, o), [3009, 8]):pl(i, o)). lemma(3019, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, c, m), [3009, 2895]):pl(i, m)). lemma(3020, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(pcon(i, c, p), [3009, 2896]):pl(i, p)). lemma(3021, [ep(c, i), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal4(p), [42, 3004, 25, 3020]):goal). lemma(3022, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(3023, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(s, l, r), [2886, 3022]):el(s, r)). lemma(3024, [el(r, l), ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal3, [3023]):goal). lemma(3025, [ep(d, g), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(3008), [3021, 3024]):goal). lemma(3026, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(3027, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(o, m, n), [2994, el(m, n)]):el(o, n)). lemma(3028, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(o, n), [3027]):el(n, o)). lemma(3029, [el(m, n), el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal1, [3028]):goal). lemma(3030, [el(m, o), ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2996), [3025, 3029]):goal). lemma(3031, [ep(c, d), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2901), [2993, 3030]):goal). lemma(3032, [el(r, l), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(3033, [el(r, l), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(ltra(s, l, r), [2886, 3032]):el(s, r)). lemma(3034, [el(r, l), el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(goal3, [3033]):goal). lemma(3035, [el(l, s), ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2889), [3031, 3034]):goal). lemma(3036, [ep(d, f), ep(b, d), pl(d, l)], ap(or_elim(2587), [2885, 3035]):goal). lemma(3037, [el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(3038, [el(m, n), ep(b, d), pl(d, l)], ap(lcon(e, m, n), [14, el(m, n)]):pl(e, n)). lemma(3039, [el(m, n), ep(b, d), pl(d, l)], ap(lcon(g, n, m), [23, 3037]):pl(g, m)). lemma(3040, [el(m, n), ep(b, d), pl(d, l)], ap(unique(r, l, c, d), [11, 21, 19, pl(d, l)]): (ep(c, d);el(r, l))). lemma(3041, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(3042, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, c), [ep(b, d), 3041]):ep(b, c)). lemma(3043, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, c), [3042]):ep(c, b)). lemma(3044, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(3045, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(c, d, p), [ep(c, d), 17]):pl(c, p)). lemma(3046, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(c, d, n), [ep(c, d), 2577]):pl(c, n)). lemma(3047, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(d, c, o), [3041, 8]):pl(d, o)). lemma(3048, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(b, d, o), [ep(b, d), 3047]):pl(b, o)). lemma(3049, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, o, d, e), [6, 3047, 14, 16]): (ep(d, e);el(m, o))). lemma(3050, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(3051, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, e), [ep(b, d), ep(d, e)]):ep(b, e)). lemma(3052, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, e), [3051]):ep(e, b)). lemma(3053, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(3054, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, e), [3053]):ep(e, c)). lemma(3055, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(3056, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(b, d, q), [ep(b, d), 3055]):pl(b, q)). lemma(3057, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(c, d, q), [ep(c, d), 3055]):pl(c, q)). lemma(3058, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(e, d, p), [3050, 17]):pl(e, p)). lemma(3059, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(e, d, r), [3050, 19]):pl(e, r)). lemma(3060, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(e, d, l), [3050, pl(d, l)]):pl(e, l)). lemma(3061, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(l, q, a, b), [5, 10, 13, 3056]): (ep(a, b);el(l, q))). lemma(3062, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3063, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(d, b, a), [2574, 3062]):ep(d, a)). lemma(3064, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, a), [3063]):ep(a, d)). lemma(3065, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, a), [ep(c, d), 3063]):ep(c, a)). lemma(3066, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, a), [3065]):ep(a, c)). lemma(3067, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, a), [3050, 3063]):ep(e, a)). lemma(3068, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, a), [3067]):ep(a, e)). lemma(3069, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(3070, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(3071, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(a, b, m), [ep(a, b), 2575]):pl(a, m)). lemma(3072, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(a, b, r), [ep(a, b), 2576]):pl(a, r)). lemma(3073, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(a, b, o), [ep(a, b), 3048]):pl(a, o)). lemma(3074, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(b, a, s), [3062, 12]):pl(b, s)). lemma(3075, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(d, b, s), [2574, 3074]):pl(d, s)). lemma(3076, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(c, d, s), [ep(c, d), 3075]):pl(c, s)). lemma(3077, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(e, d, s), [3050, 3075]):pl(e, s)). lemma(3078, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, o, d, g), [6, 3047, 3039, 24]): (ep(d, g);el(m, o))). lemma(3079, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(3080, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(3081, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, g), [3080]):ep(g, b)). lemma(3082, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(3083, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, g), [3082]):ep(g, c)). lemma(3084, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [3050, ep(d, g)]):ep(e, g)). lemma(3085, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, g), [3084]):ep(g, e)). lemma(3086, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), 3080]):ep(a, g)). lemma(3087, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, g), [3086]):ep(g, a)). lemma(3088, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, p), [3079, 17]):pl(g, p)). lemma(3089, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, r), [3079, 19]):pl(g, r)). lemma(3090, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, l), [3079, pl(d, l)]):pl(g, l)). lemma(3091, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, q), [3079, 3055]):pl(g, q)). lemma(3092, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, s), [3079, 3075]):pl(g, s)). lemma(3093, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, s, d, f), [6, 3075, 22, 20]): (ep(d, f);el(m, s))). lemma(3094, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(3095, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, f), [ep(b, d), ep(d, f)]):ep(b, f)). lemma(3096, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, f), [3095]):ep(f, b)). lemma(3097, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, f), [ep(c, d), ep(d, f)]):ep(c, f)). lemma(3098, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, f), [3097]):ep(f, c)). lemma(3099, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, f), [3050, ep(d, f)]):ep(e, f)). lemma(3100, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, f), [3099]):ep(f, e)). lemma(3101, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(a, b, f), [ep(a, b), 3095]):ep(a, f)). lemma(3102, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, f), [3101]):ep(f, a)). lemma(3103, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(g, d, f), [3079, ep(d, f)]):ep(g, f)). lemma(3104, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(g, f), [3103]):ep(f, g)). lemma(3105, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(f, d, p), [3094, 17]):pl(f, p)). lemma(3106, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(f, d, r), [3094, 19]):pl(f, r)). lemma(3107, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(f, d, l), [3094, pl(d, l)]):pl(f, l)). lemma(3108, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(f, d, o), [3094, 3047]):pl(f, o)). lemma(3109, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(f, d, q), [3094, 3055]):pl(f, q)). lemma(3110, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(p, q, b, h), [9, 3056, 25, 26]): (ep(b, h);el(p, q))). lemma(3111, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(3112, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(d, b, h), [2574, ep(b, h)]):ep(d, h)). lemma(3113, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, h), [3112]):ep(h, d)). lemma(3114, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, h), [ep(c, d), 3112]):ep(c, h)). lemma(3115, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, h), [3114]):ep(h, c)). lemma(3116, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, h), [3050, 3112]):ep(e, h)). lemma(3117, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, h), [3116]):ep(h, e)). lemma(3118, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(3119, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, h), [3118]):ep(h, a)). lemma(3120, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(g, d, h), [3079, 3112]):ep(g, h)). lemma(3121, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(g, h), [3120]):ep(h, g)). lemma(3122, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(f, d, h), [3094, 3112]):ep(f, h)). lemma(3123, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(f, h), [3122]):ep(h, f)). lemma(3124, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, n), [3111, 7]):pl(h, n)). lemma(3125, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, l), [3111, 13]):pl(h, l)). lemma(3126, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, m), [3111, 2575]):pl(h, m)). lemma(3127, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, r), [3111, 2576]):pl(h, r)). lemma(3128, [ep(b, h), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal4(r), [44, 3089, 3127, 27]):goal). lemma(3129, [el(p, q), ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal2, [el(p, q)]):goal). lemma(3130, [ep(d, f), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3110), [3128, 3129]):goal). lemma(3131, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(3132, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, s), [3037, el(m, s)]):el(n, s)). lemma(3133, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(n, s), [3132]):el(s, n)). lemma(3134, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lcon(i, s, m), [28, 3131]):pl(i, m)). lemma(3135, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lcon(i, s, n), [28, 3133]):pl(i, n)). lemma(3136, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, r, d, i), [6, 19, 3134, 27]): (ep(d, i);el(m, r))). lemma(3137, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(3138, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, i), [ep(b, d), ep(d, i)]):ep(b, i)). lemma(3139, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, i), [3138]):ep(i, b)). lemma(3140, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, i), [ep(c, d), ep(d, i)]):ep(c, i)). lemma(3141, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, i), [3140]):ep(i, c)). lemma(3142, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, i), [3050, ep(d, i)]):ep(e, i)). lemma(3143, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, i), [3142]):ep(i, e)). lemma(3144, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(a, b, i), [ep(a, b), 3138]):ep(a, i)). lemma(3145, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, i), [3144]):ep(i, a)). lemma(3146, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(g, d, i), [3079, ep(d, i)]):ep(g, i)). lemma(3147, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(g, i), [3146]):ep(i, g)). lemma(3148, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(i, d, p), [3137, 17]):pl(i, p)). lemma(3149, [ep(d, i), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal4(p), [42, 3088, 25, 3148]):goal). lemma(3150, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(3151, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, r), [3037, el(m, r)]):el(n, r)). lemma(3152, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(n, r), [3151]):el(r, n)). lemma(3153, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(s, m, r), [3131, el(m, r)]):el(s, r)). lemma(3154, [el(m, r), el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal3, [3153]):goal). lemma(3155, [el(m, s), ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3136), [3149, 3154]):goal). lemma(3156, [ep(d, g), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3093), [3130, 3155]):goal). lemma(3157, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3158, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, o), [3037, el(m, o)]):el(n, o)). lemma(3159, [el(m, o), ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal1, [3158]):goal). lemma(3160, [ep(a, b), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3078), [3156, 3159]):goal). lemma(3161, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(3162, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lcon(h, q, l), [26, 3161]):pl(h, l)). lemma(3163, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, o, d, g), [6, 3047, 3039, 24]): (ep(d, g);el(m, o))). lemma(3164, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(3165, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(3166, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, g), [3165]):ep(g, b)). lemma(3167, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(3168, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, g), [3167]):ep(g, c)). lemma(3169, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, g), [3050, ep(d, g)]):ep(e, g)). lemma(3170, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, g), [3169]):ep(g, e)). lemma(3171, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, p), [3164, 17]):pl(g, p)). lemma(3172, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, r), [3164, 19]):pl(g, r)). lemma(3173, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, l), [3164, pl(d, l)]):pl(g, l)). lemma(3174, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, d, q), [3164, 3055]):pl(g, q)). lemma(3175, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(unique(p, l, b, h), [9, 13, 25, 3162]): (ep(b, h);el(p, l))). lemma(3176, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(3177, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(d, b, h), [2574, ep(b, h)]):ep(d, h)). lemma(3178, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(d, h), [3177]):ep(h, d)). lemma(3179, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(c, d, h), [ep(c, d), 3177]):ep(c, h)). lemma(3180, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(c, h), [3179]):ep(h, c)). lemma(3181, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(e, d, h), [3050, 3177]):ep(e, h)). lemma(3182, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, h), [3181]):ep(h, e)). lemma(3183, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ptra(g, d, h), [3164, 3177]):ep(g, h)). lemma(3184, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(psym(g, h), [3183]):ep(h, g)). lemma(3185, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, n), [3176, 7]):pl(h, n)). lemma(3186, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, m), [3176, 2575]):pl(h, m)). lemma(3187, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(pcon(h, b, r), [3176, 2576]):pl(h, r)). lemma(3188, [ep(b, h), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal4(r), [44, 3172, 3187, 27]):goal). lemma(3189, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(3190, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(q, l, p), [3161, 3189]):el(q, p)). lemma(3191, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(q, p), [3190]):el(p, q)). lemma(3192, [el(p, l), ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal2, [3191]):goal). lemma(3193, [ep(d, g), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3175), [3188, 3192]):goal). lemma(3194, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3195, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, o), [3037, el(m, o)]):el(n, o)). lemma(3196, [el(m, o), el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal1, [3195]):goal). lemma(3197, [el(l, q), ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3163), [3193, 3196]):goal). lemma(3198, [ep(d, e), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3061), [3160, 3197]):goal). lemma(3199, [el(m, o), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3200, [el(m, o), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, o), [3037, el(m, o)]):el(n, o)). lemma(3201, [el(m, o), ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(goal1, [3200]):goal). lemma(3202, [ep(c, d), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3049), [3198, 3201]):goal). lemma(3203, [el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(3204, [el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lcon(a, l, r), [5, 3203]):pl(a, r)). lemma(3205, [el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lcon(i, r, l), [27, el(r, l)]):pl(i, l)). lemma(3206, [el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(unique(l, s, a, i), [5, 12, 3205, 28]): (ep(a, i);el(l, s))). lemma(3207, [ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(3208, [ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(pcon(i, a, q), [3207, 10]):pl(i, q)). lemma(3209, [ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(unique(m, o, e, g), [14, 16, 3039, 24]): (ep(e, g);el(m, o))). lemma(3210, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(psym(e, g), [ep(e, g)]):ep(g, e)). lemma(3211, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(pcon(g, e, q), [3210, 18]):pl(g, q)). lemma(3212, [ep(e, g), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(goal4(q), [43, 3211, 26, 3208]):goal). lemma(3213, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3214, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(ltra(n, m, o), [3037, el(m, o)]):el(n, o)). lemma(3215, [el(m, o), ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(goal1, [3214]):goal). lemma(3216, [ep(a, i), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3209), [3212, 3215]):goal). lemma(3217, [el(l, s), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(3218, [el(l, s), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(ltra(r, l, s), [el(r, l), el(l, s)]):el(r, s)). lemma(3219, [el(l, s), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(lsym(r, s), [3218]):el(s, r)). lemma(3220, [el(l, s), el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(goal3, [3219]):goal). lemma(3221, [el(r, l), el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3206), [3216, 3220]):goal). lemma(3222, [el(m, n), ep(b, d), pl(d, l)], ap(or_elim(3040), [3202, 3221]):goal). lemma(3223, [ep(b, d), pl(d, l)], ap(or_elim(2578), [3036, 3222]):goal). lemma(3224, [el(p, l), pl(d, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(3225, [el(p, l), pl(d, l)], ap(lcon(a, l, p), [5, 3224]):pl(a, p)). lemma(3226, [el(p, l), pl(d, l)], ap(lcon(c, l, p), [21, 3224]):pl(c, p)). lemma(3227, [el(p, l), pl(d, l)], ap(lcon(h, p, l), [25, el(p, l)]):pl(h, l)). lemma(3228, [el(p, l), pl(d, l)], ap(unique(l, q, a, h), [5, 10, 3227, 26]): (ep(a, h);el(l, q))). lemma(3229, [ep(a, h), el(p, l), pl(d, l)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(3230, [ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, s), [3229, 12]):pl(h, s)). lemma(3231, [ep(a, h), el(p, l), pl(d, l)], ap(unique(r, l, c, d), [11, 21, 19, pl(d, l)]): (ep(c, d);el(r, l))). lemma(3232, [ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(3233, [ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(3234, [ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(d, c, o), [3232, 8]):pl(d, o)). lemma(3235, [ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(m, o, d, e), [6, 3234, 14, 16]): (ep(d, e);el(m, o))). lemma(3236, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(3237, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(3238, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, e), [3237]):ep(e, c)). lemma(3239, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(3240, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(c, d, q), [ep(c, d), 3239]):pl(c, q)). lemma(3241, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(e, d, p), [3236, 17]):pl(e, p)). lemma(3242, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(e, d, r), [3236, 19]):pl(e, r)). lemma(3243, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(e, d, l), [3236, pl(d, l)]):pl(e, l)). lemma(3244, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(l, q, a, c), [5, 10, 21, 3240]): (ep(a, c);el(l, q))). lemma(3245, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(3246, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, c), [3229, ep(a, c)]):ep(h, c)). lemma(3247, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, c), [3246]):ep(c, h)). lemma(3248, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(d, c, a), [3232, 3245]):ep(d, a)). lemma(3249, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, a), [3248]):ep(a, d)). lemma(3250, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, d), [3229, 3249]):ep(h, d)). lemma(3251, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, d), [3250]):ep(d, h)). lemma(3252, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, a), [3236, 3248]):ep(e, a)). lemma(3253, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, a), [3252]):ep(a, e)). lemma(3254, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, e), [3229, 3253]):ep(h, e)). lemma(3255, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, e), [3254]):ep(e, h)). lemma(3256, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(3257, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, o), [3229, 3256]):pl(h, o)). lemma(3258, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(3259, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, r), [3229, 3258]):pl(h, r)). lemma(3260, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(a, c, m), [ep(a, c), 3233]):pl(a, m)). lemma(3261, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, m), [3229, 3260]):pl(h, m)). lemma(3262, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(c, a, s), [3245, 12]):pl(c, s)). lemma(3263, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(d, c, s), [3232, 3262]):pl(d, s)). lemma(3264, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(e, d, s), [3236, 3263]):pl(e, s)). lemma(3265, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(m, s, d, f), [6, 3263, 22, 20]): (ep(d, f);el(m, s))). lemma(3266, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(3267, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, d, f), [ep(c, d), ep(d, f)]):ep(c, f)). lemma(3268, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, f), [3267]):ep(f, c)). lemma(3269, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, f), [3236, ep(d, f)]):ep(e, f)). lemma(3270, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, f), [3269]):ep(f, e)). lemma(3271, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(a, c, f), [ep(a, c), 3267]):ep(a, f)). lemma(3272, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, f), [3271]):ep(f, a)). lemma(3273, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, f), [3229, 3271]):ep(h, f)). lemma(3274, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, f), [3273]):ep(f, h)). lemma(3275, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(3276, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(c, d, n), [ep(c, d), 3275]):pl(c, n)). lemma(3277, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(e, d, n), [3236, 3275]):pl(e, n)). lemma(3278, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(a, c, n), [ep(a, c), 3276]):pl(a, n)). lemma(3279, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, n), [3229, 3278]):pl(h, n)). lemma(3280, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(f, d, p), [3266, 17]):pl(f, p)). lemma(3281, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(f, d, r), [3266, 19]):pl(f, r)). lemma(3282, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(f, d, l), [3266, pl(d, l)]):pl(f, l)). lemma(3283, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(f, d, o), [3266, 3234]):pl(f, o)). lemma(3284, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(f, d, q), [3266, 3239]):pl(f, q)). lemma(3285, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(l, n, a, b), [5, 3278, 13, 7]): (ep(a, b);el(l, n))). lemma(3286, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3287, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, b), [3229, ep(a, b)]):ep(h, b)). lemma(3288, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, b), [3287]):ep(b, h)). lemma(3289, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, a, b), [3245, ep(a, b)]):ep(c, b)). lemma(3290, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, b), [3289]):ep(b, c)). lemma(3291, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(d, c, b), [3232, 3289]):ep(d, b)). lemma(3292, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, b), [3291]):ep(b, d)). lemma(3293, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, b), [3236, 3291]):ep(e, b)). lemma(3294, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, b), [3293]):ep(b, e)). lemma(3295, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(f, d, b), [3266, 3291]):ep(f, b)). lemma(3296, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(f, b), [3295]):ep(b, f)). lemma(3297, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(b, a, q), [3286, 10]):pl(b, q)). lemma(3298, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(b, a, s), [3286, 12]):pl(b, s)). lemma(3299, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(b, a, o), [3286, 3256]):pl(b, o)). lemma(3300, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(b, a, r), [3286, 3258]):pl(b, r)). lemma(3301, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(b, a, m), [3286, 3260]):pl(b, m)). lemma(3302, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(n, o, b, g), [7, 3299, 23, 24]): (ep(b, g);el(n, o))). lemma(3303, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3304, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3305, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, g), [3304]):ep(g, a)). lemma(3306, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, g), [3229, 3304]):ep(h, g)). lemma(3307, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, g), [3306]):ep(g, h)). lemma(3308, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, a, g), [3245, 3304]):ep(c, g)). lemma(3309, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, g), [3308]):ep(g, c)). lemma(3310, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(d, c, g), [3232, 3308]):ep(d, g)). lemma(3311, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, g), [3310]):ep(g, d)). lemma(3312, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, g), [3236, 3310]):ep(e, g)). lemma(3313, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, g), [3312]):ep(g, e)). lemma(3314, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(f, d, g), [3266, 3310]):ep(f, g)). lemma(3315, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(f, g), [3314]):ep(g, f)). lemma(3316, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, b, p), [3303, 9]):pl(g, p)). lemma(3317, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, b, l), [3303, 13]):pl(g, l)). lemma(3318, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, b, q), [3303, 3297]):pl(g, q)). lemma(3319, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, b, s), [3303, 3298]):pl(g, s)). lemma(3320, [ep(b, g), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal4(s), [45, 3319, 3230, 28]):goal). lemma(3321, [el(n, o), ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal1, [el(n, o)]):goal). lemma(3322, [ep(a, b), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3302), [3320, 3321]):goal). lemma(3323, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(3324, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(p, l, n), [el(p, l), el(l, n)]):el(p, n)). lemma(3325, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(p, n), [3324]):el(n, p)). lemma(3326, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lcon(g, n, l), [23, 3323]):pl(g, l)). lemma(3327, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lcon(g, n, p), [23, 3325]):pl(g, p)). lemma(3328, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(l, o, a, g), [5, 3256, 3326, 24]): (ep(a, g);el(l, o))). lemma(3329, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(3330, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, g), [3229, ep(a, g)]):ep(h, g)). lemma(3331, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, g), [3330]):ep(g, h)). lemma(3332, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, a, g), [3245, ep(a, g)]):ep(c, g)). lemma(3333, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, g), [3332]):ep(g, c)). lemma(3334, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(d, c, g), [3232, 3332]):ep(d, g)). lemma(3335, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, g), [3334]):ep(g, d)). lemma(3336, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, g), [3236, 3334]):ep(e, g)). lemma(3337, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, g), [3336]):ep(g, e)). lemma(3338, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(f, d, g), [3266, 3334]):ep(f, g)). lemma(3339, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(f, g), [3338]):ep(g, f)). lemma(3340, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, a, q), [3329, 10]):pl(g, q)). lemma(3341, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, a, s), [3329, 12]):pl(g, s)). lemma(3342, [ep(a, g), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal4(s), [45, 3341, 3230, 28]):goal). lemma(3343, [el(l, o), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(3344, [el(l, o), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(p, l, o), [el(p, l), el(l, o)]):el(p, o)). lemma(3345, [el(l, o), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(p, o), [3344]):el(o, p)). lemma(3346, [el(l, o), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(n, l, o), [3323, el(l, o)]):el(n, o)). lemma(3347, [el(l, o), el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal1, [3346]):goal). lemma(3348, [el(l, n), ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3328), [3342, 3347]):goal). lemma(3349, [ep(d, f), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3285), [3322, 3348]):goal). lemma(3350, [el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(3351, [el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lcon(i, s, m), [28, 3350]):pl(i, m)). lemma(3352, [el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(m, r, d, i), [6, 19, 3351, 27]): (ep(d, i);el(m, r))). lemma(3353, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(3354, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(c, d, i), [ep(c, d), ep(d, i)]):ep(c, i)). lemma(3355, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(c, i), [3354]):ep(i, c)). lemma(3356, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(e, d, i), [3236, ep(d, i)]):ep(e, i)). lemma(3357, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(e, i), [3356]):ep(i, e)). lemma(3358, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(a, c, i), [ep(a, c), 3354]):ep(a, i)). lemma(3359, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, i), [3358]):ep(i, a)). lemma(3360, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, i), [3229, 3358]):ep(h, i)). lemma(3361, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, i), [3360]):ep(i, h)). lemma(3362, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(i, d, p), [3353, 17]):pl(i, p)). lemma(3363, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(i, d, l), [3353, pl(d, l)]):pl(i, l)). lemma(3364, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(i, d, o), [3353, 3234]):pl(i, o)). lemma(3365, [ep(d, i), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal4(o), [41, 24, 3257, 3364]):goal). lemma(3366, [el(m, r), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(3367, [el(m, r), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(s, m, r), [3350, el(m, r)]):el(s, r)). lemma(3368, [el(m, r), el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal3, [3367]):goal). lemma(3369, [el(m, s), ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3352), [3365, 3368]):goal). lemma(3370, [ep(a, c), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3265), [3349, 3369]):goal). lemma(3371, [el(l, q), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(3372, [el(l, q), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(p, l, q), [el(p, l), el(l, q)]):el(p, q)). lemma(3373, [el(l, q), ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal2, [3372]):goal). lemma(3374, [ep(d, e), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3244), [3370, 3373]):goal). lemma(3375, [el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3376, [el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lcon(f, m, o), [22, el(m, o)]):pl(f, o)). lemma(3377, [el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lcon(g, o, m), [24, 3375]):pl(g, m)). lemma(3378, [el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(unique(n, m, f, g), [15, 22, 23, 3377]): (ep(f, g);el(n, m))). lemma(3379, [ep(f, g), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(psym(f, g), [ep(f, g)]):ep(g, f)). lemma(3380, [ep(f, g), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(pcon(g, f, s), [3379, 20]):pl(g, s)). lemma(3381, [ep(f, g), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal4(s), [45, 3380, 3230, 28]):goal). lemma(3382, [el(n, m), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(n, m), [el(n, m)]):el(m, n)). lemma(3383, [el(n, m), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(ltra(o, m, n), [3375, 3382]):el(o, n)). lemma(3384, [el(n, m), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(lsym(o, n), [3383]):el(n, o)). lemma(3385, [el(n, m), el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(goal1, [3384]):goal). lemma(3386, [el(m, o), ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3378), [3381, 3385]):goal). lemma(3387, [ep(c, d), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3235), [3374, 3386]):goal). lemma(3388, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(3389, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(ltra(p, l, r), [el(p, l), 3388]):el(p, r)). lemma(3390, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lsym(p, r), [3389]):el(r, p)). lemma(3391, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lcon(a, l, r), [5, 3388]):pl(a, r)). lemma(3392, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, r), [3229, 3391]):pl(h, r)). lemma(3393, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lcon(b, p, r), [9, 3389]):pl(b, r)). lemma(3394, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lcon(i, r, l), [27, el(r, l)]):pl(i, l)). lemma(3395, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lcon(i, r, p), [27, 3390]):pl(i, p)). lemma(3396, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(unique(l, s, a, i), [5, 12, 3394, 28]): (ep(a, i);el(l, s))). lemma(3397, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(3398, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(ptra(h, a, i), [3229, ep(a, i)]):ep(h, i)). lemma(3399, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(psym(h, i), [3398]):ep(i, h)). lemma(3400, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(pcon(i, a, q), [3397, 10]):pl(i, q)). lemma(3401, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(line(a, g), [29, 35]): (dom(A), pl(a, A), pl(g, A))). lemma(3402, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(3403, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(pcon(h, a, par(0)), [3229, pl(a, par(0))]):pl(h, par(0))). lemma(3404, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(pcon(i, a, par(0)), [3397, pl(a, par(0))]):pl(i, par(0))). lemma(3405, [ (dom(par(0)), pl(a, par(0)), pl(g, par(0))), ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(goal4(par(0)), [3402, pl(g, par(0)), 3403, 3404]):goal). lemma(3406, [ep(a, i), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(ex_elim(3401), 3405):goal). lemma(3407, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(3408, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(ltra(p, l, s), [el(p, l), el(l, s)]):el(p, s)). lemma(3409, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lsym(p, s), [3408]):el(s, p)). lemma(3410, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(ltra(r, l, s), [el(r, l), el(l, s)]):el(r, s)). lemma(3411, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(lsym(r, s), [3410]):el(s, r)). lemma(3412, [el(l, s), el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(goal3, [3411]):goal). lemma(3413, [el(r, l), ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3396), [3406, 3412]):goal). lemma(3414, [ep(a, h), el(p, l), pl(d, l)], ap(or_elim(3231), [3387, 3413]):goal). lemma(3415, [el(l, q), el(p, l), pl(d, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(3416, [el(l, q), el(p, l), pl(d, l)], ap(ltra(p, l, q), [el(p, l), el(l, q)]):el(p, q)). lemma(3417, [el(l, q), el(p, l), pl(d, l)], ap(goal2, [3416]):goal). lemma(3418, [el(p, l), pl(d, l)], ap(or_elim(3228), [3414, 3417]):goal). lemma(3419, [pl(d, l)], ap(or_elim(2573), [3223, 3418]):goal). lemma(3420, [pl(e, l)], ap(unique(l, q, a, e), [5, 10, pl(e, l), 18]): (ep(a, e);el(l, q))). lemma(3421, [ep(a, e), pl(e, l)], ap(psym(a, e), [ep(a, e)]):ep(e, a)). lemma(3422, [ep(a, e), pl(e, l)], ap(pcon(a, e, m), [ep(a, e), 14]):pl(a, m)). lemma(3423, [ep(a, e), pl(e, l)], ap(pcon(a, e, o), [ep(a, e), 16]):pl(a, o)). lemma(3424, [ep(a, e), pl(e, l)], ap(pcon(e, a, s), [3421, 12]):pl(e, s)). lemma(3425, [ep(a, e), pl(e, l)], ap(unique(l, o, a, c), [5, 3423, 21, 8]): (ep(a, c);el(l, o))). lemma(3426, [ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(3427, [ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, c), [3421, ep(a, c)]):ep(e, c)). lemma(3428, [ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, c), [3427]):ep(c, e)). lemma(3429, [ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(3430, [ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, a, r), [3421, 3429]):pl(e, r)). lemma(3431, [ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, q), [3426, 10]):pl(c, q)). lemma(3432, [ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, s), [3426, 12]):pl(c, s)). lemma(3433, [ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, m), [3426, 3422]):pl(c, m)). lemma(3434, [ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, r, d, e), [6, 19, 14, 3430]): (ep(d, e);el(m, r))). lemma(3435, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(3436, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, d), [ep(a, e), 3435]):ep(a, d)). lemma(3437, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, d), [3436]):ep(d, a)). lemma(3438, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, d), [3426, 3436]):ep(c, d)). lemma(3439, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, d), [3438]):ep(d, c)). lemma(3440, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(3441, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(3442, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, l), [ep(d, e), pl(e, l)]):pl(d, l)). lemma(3443, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, s), [ep(d, e), 3424]):pl(d, s)). lemma(3444, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, d, p), [3435, 17]):pl(e, p)). lemma(3445, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, e, p), [ep(a, e), 3444]):pl(a, p)). lemma(3446, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, p), [3426, 3445]):pl(c, p)). lemma(3447, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, p, a, b), [5, 3445, 13, 9]): (ep(a, b);el(l, p))). lemma(3448, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3449, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, b), [3421, ep(a, b)]):ep(e, b)). lemma(3450, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, b), [3449]):ep(b, e)). lemma(3451, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, b), [3426, ep(a, b)]):ep(c, b)). lemma(3452, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, b), [3451]):ep(b, c)). lemma(3453, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, b), [ep(d, e), 3449]):ep(d, b)). lemma(3454, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, b), [3453]):ep(b, d)). lemma(3455, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(3456, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, a, n), [3421, 3455]):pl(e, n)). lemma(3457, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, n), [3426, 3455]):pl(c, n)). lemma(3458, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, n), [ep(d, e), 3456]):pl(d, n)). lemma(3459, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, q), [3448, 10]):pl(b, q)). lemma(3460, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, s), [3448, 12]):pl(b, s)). lemma(3461, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, m), [3448, 3422]):pl(b, m)). lemma(3462, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, o), [3448, 3423]):pl(b, o)). lemma(3463, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, r), [3448, 3429]):pl(b, r)). lemma(3464, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, s, d, f), [6, 3443, 22, 20]): (ep(d, f);el(m, s))). lemma(3465, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(3466, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, f), [3435, ep(d, f)]):ep(e, f)). lemma(3467, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, f), [3466]):ep(f, e)). lemma(3468, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, f), [ep(a, e), 3466]):ep(a, f)). lemma(3469, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, f), [3468]):ep(f, a)). lemma(3470, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, f), [3426, 3468]):ep(c, f)). lemma(3471, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, f), [3470]):ep(f, c)). lemma(3472, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(b, a, f), [3448, 3468]):ep(b, f)). lemma(3473, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, f), [3472]):ep(f, b)). lemma(3474, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, p), [3465, 17]):pl(f, p)). lemma(3475, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, r), [3465, 19]):pl(f, r)). lemma(3476, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, o), [3465, 3440]):pl(f, o)). lemma(3477, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, q), [3465, 3441]):pl(f, q)). lemma(3478, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, l), [3465, 3442]):pl(f, l)). lemma(3479, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(n, o, b, g), [7, 3462, 23, 24]): (ep(b, g);el(n, o))). lemma(3480, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3481, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3482, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3481]):ep(g, a)). lemma(3483, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3481]):ep(e, g)). lemma(3484, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3483]):ep(g, e)). lemma(3485, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3481]):ep(c, g)). lemma(3486, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3485]):ep(g, c)). lemma(3487, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, g), [ep(d, e), 3483]):ep(d, g)). lemma(3488, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [3487]):ep(g, d)). lemma(3489, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, g), [3465, 3487]):ep(f, g)). lemma(3490, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3489]):ep(g, f)). lemma(3491, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3480, 9]):pl(g, p)). lemma(3492, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, l), [3480, 13]):pl(g, l)). lemma(3493, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, q), [3480, 3459]):pl(g, q)). lemma(3494, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, s), [3480, 3460]):pl(g, s)). lemma(3495, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, m), [3480, 3461]):pl(g, m)). lemma(3496, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, r), [3480, 3463]):pl(g, r)). lemma(3497, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(p, q, b, h), [9, 3459, 25, 26]): (ep(b, h);el(p, q))). lemma(3498, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(3499, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(3500, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, h), [3499]):ep(h, a)). lemma(3501, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, h), [3421, 3499]):ep(e, h)). lemma(3502, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, h), [3501]):ep(h, e)). lemma(3503, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, h), [3426, 3499]):ep(c, h)). lemma(3504, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, h), [3503]):ep(h, c)). lemma(3505, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, h), [ep(d, e), 3501]):ep(d, h)). lemma(3506, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, h), [3505]):ep(h, d)). lemma(3507, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, h), [3465, 3505]):ep(f, h)). lemma(3508, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, h), [3507]):ep(h, f)). lemma(3509, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(g, b, h), [3480, ep(b, h)]):ep(g, h)). lemma(3510, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(g, h), [3509]):ep(h, g)). lemma(3511, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, b, n), [3498, 7]):pl(h, n)). lemma(3512, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, b, l), [3498, 13]):pl(h, l)). lemma(3513, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, b, s), [3498, 3460]):pl(h, s)). lemma(3514, [ep(b, h), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(s), [45, 3494, 3513, 28]):goal). lemma(3515, [el(p, q), ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal2, [el(p, q)]):goal). lemma(3516, [ep(b, g), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3497), [3514, 3515]):goal). lemma(3517, [el(n, o), ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(3518, [ep(d, f), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3479), [3516, 3517]):goal). lemma(3519, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(3520, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(i, s, m), [28, 3519]):pl(i, m)). lemma(3521, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, r, d, i), [6, 19, 3520, 27]): (ep(d, i);el(m, r))). lemma(3522, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(3523, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, i), [3435, ep(d, i)]):ep(e, i)). lemma(3524, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, i), [3523]):ep(i, e)). lemma(3525, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, i), [ep(a, e), 3523]):ep(a, i)). lemma(3526, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, i), [3525]):ep(i, a)). lemma(3527, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, i), [3426, 3525]):ep(c, i)). lemma(3528, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, i), [3527]):ep(i, c)). lemma(3529, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(b, a, i), [3448, 3525]):ep(b, i)). lemma(3530, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, i), [3529]):ep(i, b)). lemma(3531, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, p), [3522, 17]):pl(i, p)). lemma(3532, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, o), [3522, 3440]):pl(i, o)). lemma(3533, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, q), [3522, 3441]):pl(i, q)). lemma(3534, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, l), [3522, 3442]):pl(i, l)). lemma(3535, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, n), [3522, 3458]):pl(i, n)). lemma(3536, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, n, d, f), [6, 3458, 22, 15]): (ep(d, f);el(m, n))). lemma(3537, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(3538, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, f), [3435, ep(d, f)]):ep(e, f)). lemma(3539, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, f), [3538]):ep(f, e)). lemma(3540, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, f), [ep(a, e), 3538]):ep(a, f)). lemma(3541, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, f), [3540]):ep(f, a)). lemma(3542, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, f), [3426, 3540]):ep(c, f)). lemma(3543, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, f), [3542]):ep(f, c)). lemma(3544, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(b, a, f), [3448, 3540]):ep(b, f)). lemma(3545, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, f), [3544]):ep(f, b)). lemma(3546, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, d, f), [3522, ep(d, f)]):ep(i, f)). lemma(3547, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, f), [3546]):ep(f, i)). lemma(3548, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, p), [3537, 17]):pl(f, p)). lemma(3549, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, r), [3537, 19]):pl(f, r)). lemma(3550, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, o), [3537, 3440]):pl(f, o)). lemma(3551, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, q), [3537, 3441]):pl(f, q)). lemma(3552, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, l), [3537, 3442]):pl(f, l)). lemma(3553, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(n, o, b, g), [7, 3462, 23, 24]): (ep(b, g);el(n, o))). lemma(3554, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3555, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3556, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3555]):ep(g, a)). lemma(3557, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3555]):ep(e, g)). lemma(3558, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3557]):ep(g, e)). lemma(3559, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3555]):ep(c, g)). lemma(3560, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3559]):ep(g, c)). lemma(3561, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, g), [ep(d, e), 3557]):ep(d, g)). lemma(3562, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [3561]):ep(g, d)). lemma(3563, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, d, g), [3522, 3561]):ep(i, g)). lemma(3564, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, g), [3563]):ep(g, i)). lemma(3565, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, g), [3537, 3561]):ep(f, g)). lemma(3566, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3565]):ep(g, f)). lemma(3567, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3554, 9]):pl(g, p)). lemma(3568, [ep(b, g), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(p), [42, 3567, 25, 3531]):goal). lemma(3569, [el(n, o), ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(3570, [ep(d, f), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3553), [3568, 3569]):goal). lemma(3571, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(3572, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(s, m, n), [3519, el(m, n)]):el(s, n)). lemma(3573, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(s, n), [3572]):el(n, s)). lemma(3574, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(g, n, m), [23, 3571]):pl(g, m)). lemma(3575, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(g, n, s), [23, 3573]):pl(g, s)). lemma(3576, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, o, d, g), [6, 3440, 3574, 24]): (ep(d, g);el(m, o))). lemma(3577, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(3578, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, g), [3435, ep(d, g)]):ep(e, g)). lemma(3579, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3578]):ep(g, e)). lemma(3580, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, g), [ep(a, e), 3578]):ep(a, g)). lemma(3581, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3580]):ep(g, a)). lemma(3582, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3580]):ep(c, g)). lemma(3583, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3582]):ep(g, c)). lemma(3584, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(b, a, g), [3448, 3580]):ep(b, g)). lemma(3585, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [3584]):ep(g, b)). lemma(3586, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, d, g), [3522, ep(d, g)]):ep(i, g)). lemma(3587, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, g), [3586]):ep(g, i)). lemma(3588, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, d, p), [3577, 17]):pl(g, p)). lemma(3589, [ep(d, g), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(p), [42, 3588, 25, 3531]):goal). lemma(3590, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(3591, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(s, m, o), [3519, el(m, o)]):el(s, o)). lemma(3592, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(s, o), [3591]):el(o, s)). lemma(3593, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(n, m, o), [3571, el(m, o)]):el(n, o)). lemma(3594, [el(m, o), el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [3593]):goal). lemma(3595, [el(m, n), ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3576), [3589, 3594]):goal). lemma(3596, [ep(d, i), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3536), [3570, 3595]):goal). lemma(3597, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(3598, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(s, m, r), [3519, el(m, r)]):el(s, r)). lemma(3599, [el(m, r), el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal3, [3598]):goal). lemma(3600, [el(m, s), ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3521), [3596, 3599]):goal). lemma(3601, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3464), [3518, 3600]):goal). lemma(3602, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(3603, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(h, p, l), [25, 3602]):pl(h, l)). lemma(3604, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, q, a, h), [5, 10, 3603, 26]): (ep(a, h);el(l, q))). lemma(3605, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(3606, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, h), [3421, ep(a, h)]):ep(e, h)). lemma(3607, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, h), [3606]):ep(h, e)). lemma(3608, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, h), [3426, ep(a, h)]):ep(c, h)). lemma(3609, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, h), [3608]):ep(h, c)). lemma(3610, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, h), [ep(d, e), 3606]):ep(d, h)). lemma(3611, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, h), [3610]):ep(h, d)). lemma(3612, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, a, s), [3605, 12]):pl(h, s)). lemma(3613, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, a, m), [3605, 3422]):pl(h, m)). lemma(3614, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, a, o), [3605, 3423]):pl(h, o)). lemma(3615, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, a, r), [3605, 3429]):pl(h, r)). lemma(3616, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, s, d, f), [6, 3443, 22, 20]): (ep(d, f);el(m, s))). lemma(3617, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(3618, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, f), [3435, ep(d, f)]):ep(e, f)). lemma(3619, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, f), [3618]):ep(f, e)). lemma(3620, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, f), [ep(a, e), 3618]):ep(a, f)). lemma(3621, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, f), [3620]):ep(f, a)). lemma(3622, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, f), [3426, 3620]):ep(c, f)). lemma(3623, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, f), [3622]):ep(f, c)). lemma(3624, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(h, a, f), [3605, 3620]):ep(h, f)). lemma(3625, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(h, f), [3624]):ep(f, h)). lemma(3626, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(3627, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, d, n), [3435, 3626]):pl(e, n)). lemma(3628, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, e, n), [ep(a, e), 3627]):pl(a, n)). lemma(3629, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, n), [3426, 3628]):pl(c, n)). lemma(3630, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(h, a, n), [3605, 3628]):pl(h, n)). lemma(3631, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, p), [3617, 17]):pl(f, p)). lemma(3632, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, r), [3617, 19]):pl(f, r)). lemma(3633, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, o), [3617, 3440]):pl(f, o)). lemma(3634, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, q), [3617, 3441]):pl(f, q)). lemma(3635, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, d, l), [3617, 3442]):pl(f, l)). lemma(3636, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, n, a, b), [5, 3628, 13, 7]): (ep(a, b);el(l, n))). lemma(3637, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3638, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, b), [3421, ep(a, b)]):ep(e, b)). lemma(3639, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, b), [3638]):ep(b, e)). lemma(3640, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, b), [3426, ep(a, b)]):ep(c, b)). lemma(3641, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, b), [3640]):ep(b, c)). lemma(3642, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, b), [ep(d, e), 3638]):ep(d, b)). lemma(3643, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, b), [3642]):ep(b, d)). lemma(3644, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(h, a, b), [3605, ep(a, b)]):ep(h, b)). lemma(3645, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(h, b), [3644]):ep(b, h)). lemma(3646, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, b), [3617, 3642]):ep(f, b)). lemma(3647, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, b), [3646]):ep(b, f)). lemma(3648, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, q), [3637, 10]):pl(b, q)). lemma(3649, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, s), [3637, 12]):pl(b, s)). lemma(3650, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, m), [3637, 3422]):pl(b, m)). lemma(3651, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, o), [3637, 3423]):pl(b, o)). lemma(3652, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, r), [3637, 3429]):pl(b, r)). lemma(3653, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(n, o, b, g), [7, 3651, 23, 24]): (ep(b, g);el(n, o))). lemma(3654, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3655, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3656, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3655]):ep(g, a)). lemma(3657, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3655]):ep(e, g)). lemma(3658, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3657]):ep(g, e)). lemma(3659, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3655]):ep(c, g)). lemma(3660, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3659]):ep(g, c)). lemma(3661, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, g), [ep(d, e), 3657]):ep(d, g)). lemma(3662, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [3661]):ep(g, d)). lemma(3663, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(h, a, g), [3605, 3655]):ep(h, g)). lemma(3664, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(h, g), [3663]):ep(g, h)). lemma(3665, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, g), [3617, 3661]):ep(f, g)). lemma(3666, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3665]):ep(g, f)). lemma(3667, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3654, 9]):pl(g, p)). lemma(3668, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, l), [3654, 13]):pl(g, l)). lemma(3669, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, q), [3654, 3648]):pl(g, q)). lemma(3670, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, s), [3654, 3649]):pl(g, s)). lemma(3671, [ep(b, g), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(s), [45, 3670, 3612, 28]):goal). lemma(3672, [el(n, o), ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(3673, [ep(a, b), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3653), [3671, 3672]):goal). lemma(3674, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(3675, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(p, l, n), [3602, el(l, n)]):el(p, n)). lemma(3676, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(p, n), [3675]):el(n, p)). lemma(3677, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(g, n, l), [23, 3674]):pl(g, l)). lemma(3678, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(g, n, p), [23, 3676]):pl(g, p)). lemma(3679, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, o, a, g), [5, 3423, 3677, 24]): (ep(a, g);el(l, o))). lemma(3680, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(3681, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, ep(a, g)]):ep(e, g)). lemma(3682, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3681]):ep(g, e)). lemma(3683, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, ep(a, g)]):ep(c, g)). lemma(3684, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3683]):ep(g, c)). lemma(3685, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, g), [ep(d, e), 3681]):ep(d, g)). lemma(3686, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [3685]):ep(g, d)). lemma(3687, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(h, a, g), [3605, ep(a, g)]):ep(h, g)). lemma(3688, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(h, g), [3687]):ep(g, h)). lemma(3689, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, d, g), [3617, 3685]):ep(f, g)). lemma(3690, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3689]):ep(g, f)). lemma(3691, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, a, q), [3680, 10]):pl(g, q)). lemma(3692, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, a, s), [3680, 12]):pl(g, s)). lemma(3693, [ep(a, g), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(s), [45, 3692, 3612, 28]):goal). lemma(3694, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(3695, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(p, l, o), [3602, el(l, o)]):el(p, o)). lemma(3696, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(p, o), [3695]):el(o, p)). lemma(3697, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(n, l, o), [3674, el(l, o)]):el(n, o)). lemma(3698, [el(l, o), el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [3697]):goal). lemma(3699, [el(l, n), ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3679), [3693, 3698]):goal). lemma(3700, [ep(d, f), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3636), [3673, 3699]):goal). lemma(3701, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, s), [el(m, s)]):el(s, m)). lemma(3702, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(i, s, m), [28, 3701]):pl(i, m)). lemma(3703, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, r, d, i), [6, 19, 3702, 27]): (ep(d, i);el(m, r))). lemma(3704, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(3705, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, d, i), [3435, ep(d, i)]):ep(e, i)). lemma(3706, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, i), [3705]):ep(i, e)). lemma(3707, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, i), [ep(a, e), 3705]):ep(a, i)). lemma(3708, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, i), [3707]):ep(i, a)). lemma(3709, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, i), [3426, 3707]):ep(c, i)). lemma(3710, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, i), [3709]):ep(i, c)). lemma(3711, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(h, a, i), [3605, 3707]):ep(h, i)). lemma(3712, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(psym(h, i), [3711]):ep(i, h)). lemma(3713, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, p), [3704, 17]):pl(i, p)). lemma(3714, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, d, o), [3704, 3440]):pl(i, o)). lemma(3715, [ep(d, i), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(o), [41, 24, 3614, 3714]):goal). lemma(3716, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(3717, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(s, m, r), [3701, el(m, r)]):el(s, r)). lemma(3718, [el(m, r), el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal3, [3717]):goal). lemma(3719, [el(m, s), ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3703), [3715, 3718]):goal). lemma(3720, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3616), [3700, 3719]):goal). lemma(3721, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(3722, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(p, l, q), [3602, el(l, q)]):el(p, q)). lemma(3723, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(goal2, [3722]):goal). lemma(3724, [el(l, p), ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3604), [3720, 3723]):goal). lemma(3725, [ep(d, e), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3447), [3601, 3724]):goal). lemma(3726, [el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(3727, [el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(f, m, r), [22, el(m, r)]):pl(f, r)). lemma(3728, [el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(i, r, m), [27, 3726]):pl(i, m)). lemma(3729, [el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(r, s, c, i), [11, 3432, 27, 28]): (ep(c, i);el(r, s))). lemma(3730, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(3731, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, c, i), [ep(a, c), ep(c, i)]):ep(a, i)). lemma(3732, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, i), [3731]):ep(i, a)). lemma(3733, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, i), [3421, 3731]):ep(e, i)). lemma(3734, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, i), [3733]):ep(i, e)). lemma(3735, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, c, o), [3730, 8]):pl(i, o)). lemma(3736, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, c, l), [3730, 21]):pl(i, l)). lemma(3737, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, c, q), [3730, 3431]):pl(i, q)). lemma(3738, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(r, s, c, f), [11, 3432, 3727, 20]): (ep(c, f);el(r, s))). lemma(3739, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, f), [ep(c, f)]):ep(f, c)). lemma(3740, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, c, f), [ep(a, c), ep(c, f)]):ep(a, f)). lemma(3741, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, f), [3740]):ep(f, a)). lemma(3742, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, f), [3421, 3740]):ep(e, f)). lemma(3743, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, f), [3742]):ep(f, e)). lemma(3744, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, f), [3730, ep(c, f)]):ep(i, f)). lemma(3745, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, f), [3744]):ep(f, i)). lemma(3746, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, f, n), [ep(c, f), 15]):pl(c, n)). lemma(3747, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, c, n), [ep(a, c), 3746]):pl(a, n)). lemma(3748, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, a, n), [3421, 3747]):pl(e, n)). lemma(3749, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, c, n), [3730, 3746]):pl(i, n)). lemma(3750, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, c, o), [3739, 8]):pl(f, o)). lemma(3751, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, c, l), [3739, 21]):pl(f, l)). lemma(3752, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, c, q), [3739, 3431]):pl(f, q)). lemma(3753, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, n, a, b), [5, 3747, 13, 7]): (ep(a, b);el(l, n))). lemma(3754, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3755, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, b), [3421, ep(a, b)]):ep(e, b)). lemma(3756, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, b), [3755]):ep(b, e)). lemma(3757, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, b), [3426, ep(a, b)]):ep(c, b)). lemma(3758, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, b), [3757]):ep(b, c)). lemma(3759, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, b), [3730, 3757]):ep(i, b)). lemma(3760, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, b), [3759]):ep(b, i)). lemma(3761, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, c, b), [3739, 3757]):ep(f, b)). lemma(3762, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, b), [3761]):ep(b, f)). lemma(3763, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(3764, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(e, a, p), [3421, 3763]):pl(e, p)). lemma(3765, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(c, a, p), [3426, 3763]):pl(c, p)). lemma(3766, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(i, c, p), [3730, 3765]):pl(i, p)). lemma(3767, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(f, c, p), [3739, 3765]):pl(f, p)). lemma(3768, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, q), [3754, 10]):pl(b, q)). lemma(3769, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, s), [3754, 12]):pl(b, s)). lemma(3770, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, m), [3754, 3422]):pl(b, m)). lemma(3771, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, o), [3754, 3423]):pl(b, o)). lemma(3772, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(b, a, r), [3754, 3429]):pl(b, r)). lemma(3773, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(m, p, d, e), [6, 17, 14, 3764]): (ep(d, e);el(m, p))). lemma(3774, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(3775, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, e, d), [ep(a, e), 3774]):ep(a, d)). lemma(3776, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, d), [3775]):ep(d, a)). lemma(3777, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, d), [3426, 3775]):ep(c, d)). lemma(3778, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, d), [3777]):ep(d, c)). lemma(3779, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, d), [3730, 3777]):ep(i, d)). lemma(3780, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, d), [3779]):ep(d, i)). lemma(3781, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, c, d), [3739, 3777]):ep(f, d)). lemma(3782, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, d), [3781]):ep(d, f)). lemma(3783, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(b, a, d), [3754, 3775]):ep(b, d)). lemma(3784, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, d), [3783]):ep(d, b)). lemma(3785, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(3786, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(3787, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, l), [ep(d, e), pl(e, l)]):pl(d, l)). lemma(3788, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, s), [ep(d, e), 3424]):pl(d, s)). lemma(3789, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(d, e, n), [ep(d, e), 3748]):pl(d, n)). lemma(3790, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(n, o, b, g), [7, 3771, 23, 24]): (ep(b, g);el(n, o))). lemma(3791, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3792, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3793, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3792]):ep(g, a)). lemma(3794, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3792]):ep(e, g)). lemma(3795, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3794]):ep(g, e)). lemma(3796, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3792]):ep(c, g)). lemma(3797, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3796]):ep(g, c)). lemma(3798, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, g), [3730, 3796]):ep(i, g)). lemma(3799, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, g), [3798]):ep(g, i)). lemma(3800, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, c, g), [3739, 3796]):ep(f, g)). lemma(3801, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3800]):ep(g, f)). lemma(3802, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(d, e, g), [ep(d, e), 3794]):ep(d, g)). lemma(3803, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(d, g), [3802]):ep(g, d)). lemma(3804, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3791, 9]):pl(g, p)). lemma(3805, [ep(b, g), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(p), [42, 3804, 25, 3766]):goal). lemma(3806, [el(n, o), ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(3807, [ep(d, e), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3790), [3805, 3806]):goal). lemma(3808, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(3809, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(r, m, p), [3726, el(m, p)]):el(r, p)). lemma(3810, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(r, p), [3809]):el(p, r)). lemma(3811, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(h, p, m), [25, 3808]):pl(h, m)). lemma(3812, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(h, p, r), [25, 3810]):pl(h, r)). lemma(3813, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(n, o, b, g), [7, 3771, 23, 24]): (ep(b, g);el(n, o))). lemma(3814, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3815, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(3816, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [3815]):ep(g, a)). lemma(3817, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3815]):ep(e, g)). lemma(3818, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3817]):ep(g, e)). lemma(3819, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, 3815]):ep(c, g)). lemma(3820, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3819]):ep(g, c)). lemma(3821, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, g), [3730, 3819]):ep(i, g)). lemma(3822, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, g), [3821]):ep(g, i)). lemma(3823, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, c, g), [3739, 3819]):ep(f, g)). lemma(3824, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3823]):ep(g, f)). lemma(3825, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3814, 9]):pl(g, p)). lemma(3826, [ep(b, g), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(p), [42, 3825, 25, 3766]):goal). lemma(3827, [el(n, o), el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(3828, [el(m, p), ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3813), [3826, 3827]):goal). lemma(3829, [ep(a, b), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3773), [3807, 3828]):goal). lemma(3830, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(3831, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lcon(g, n, l), [23, 3830]):pl(g, l)). lemma(3832, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(unique(l, o, a, g), [5, 3423, 3831, 24]): (ep(a, g);el(l, o))). lemma(3833, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(3834, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, ep(a, g)]):ep(e, g)). lemma(3835, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(e, g), [3834]):ep(g, e)). lemma(3836, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(c, a, g), [3426, ep(a, g)]):ep(c, g)). lemma(3837, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(c, g), [3836]):ep(g, c)). lemma(3838, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(i, c, g), [3730, 3836]):ep(i, g)). lemma(3839, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(i, g), [3838]):ep(g, i)). lemma(3840, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ptra(f, c, g), [3739, 3836]):ep(f, g)). lemma(3841, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(psym(f, g), [3840]):ep(g, f)). lemma(3842, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(pcon(g, a, q), [3833, 10]):pl(g, q)). lemma(3843, [ep(a, g), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal4(q), [43, 3842, 26, 3737]):goal). lemma(3844, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(3845, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(ltra(n, l, o), [3830, el(l, o)]):el(n, o)). lemma(3846, [el(l, o), el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal1, [3845]):goal). lemma(3847, [el(l, n), ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3832), [3843, 3846]):goal). lemma(3848, [ep(c, f), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3753), [3829, 3847]):goal). lemma(3849, [el(r, s), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(3850, [el(r, s), ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal3, [3849]):goal). lemma(3851, [ep(c, i), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3738), [3848, 3850]):goal). lemma(3852, [el(r, s), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(3853, [el(r, s), el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(goal3, [3852]):goal). lemma(3854, [el(m, r), ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3729), [3851, 3853]):goal). lemma(3855, [ep(a, c), ep(a, e), pl(e, l)], ap(or_elim(3434), [3725, 3854]):goal). lemma(3856, [el(l, o), ep(a, e), pl(e, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(3857, [el(l, o), ep(a, e), pl(e, l)], ap(lcon(b, l, o), [13, el(l, o)]):pl(b, o)). lemma(3858, [el(l, o), ep(a, e), pl(e, l)], ap(lcon(g, o, l), [24, 3856]):pl(g, l)). lemma(3859, [el(l, o), ep(a, e), pl(e, l)], ap(unique(n, l, b, g), [7, 13, 23, 3858]): (ep(b, g);el(n, l))). lemma(3860, [ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(3861, [ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(g, b, p), [3860, 9]):pl(g, p)). lemma(3862, [ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(s, m, a, f), [12, 3422, 20, 22]): (ep(a, f);el(s, m))). lemma(3863, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, f), [ep(a, f)]):ep(f, a)). lemma(3864, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, f), [3421, ep(a, f)]):ep(e, f)). lemma(3865, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, f), [3864]):ep(f, e)). lemma(3866, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(a, f, n), [ep(a, f), 15]):pl(a, n)). lemma(3867, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(e, a, n), [3421, 3866]):pl(e, n)). lemma(3868, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(f, a, l), [3863, 5]):pl(f, l)). lemma(3869, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(f, a, q), [3863, 10]):pl(f, q)). lemma(3870, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(f, a, o), [3863, 3423]):pl(f, o)). lemma(3871, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(l, n, a, b), [5, 3866, 13, 7]): (ep(a, b);el(l, n))). lemma(3872, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(3873, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, b), [3421, ep(a, b)]):ep(e, b)). lemma(3874, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, b), [3873]):ep(b, e)). lemma(3875, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, a), [3860, 3872]):ep(g, a)). lemma(3876, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, a), [3875]):ep(a, g)). lemma(3877, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, g), [3421, 3876]):ep(e, g)). lemma(3878, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, g), [3877]):ep(g, e)). lemma(3879, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, b), [3863, ep(a, b)]):ep(f, b)). lemma(3880, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, b), [3879]):ep(b, f)). lemma(3881, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, f), [3860, 3880]):ep(g, f)). lemma(3882, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, f), [3881]):ep(f, g)). lemma(3883, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(3884, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(e, a, p), [3421, 3883]):pl(e, p)). lemma(3885, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(f, a, p), [3863, 3883]):pl(f, p)). lemma(3886, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(b, a, q), [3872, 10]):pl(b, q)). lemma(3887, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(g, b, q), [3860, 3886]):pl(g, q)). lemma(3888, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(b, a, s), [3872, 12]):pl(b, s)). lemma(3889, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(g, b, s), [3860, 3888]):pl(g, s)). lemma(3890, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(b, a, m), [3872, 3422]):pl(b, m)). lemma(3891, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(g, b, m), [3860, 3890]):pl(g, m)). lemma(3892, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(m, p, d, e), [6, 17, 14, 3884]): (ep(d, e);el(m, p))). lemma(3893, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(3894, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(a, e, d), [ep(a, e), 3893]):ep(a, d)). lemma(3895, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, d), [3894]):ep(d, a)). lemma(3896, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, d), [3863, 3894]):ep(f, d)). lemma(3897, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, d), [3896]):ep(d, f)). lemma(3898, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(b, a, d), [3872, 3894]):ep(b, d)). lemma(3899, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, d), [3898]):ep(d, b)). lemma(3900, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, d), [3860, 3898]):ep(g, d)). lemma(3901, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, d), [3900]):ep(d, g)). lemma(3902, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(3903, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(3904, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(d, e, l), [ep(d, e), pl(e, l)]):pl(d, l)). lemma(3905, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(d, e, s), [ep(d, e), 3424]):pl(d, s)). lemma(3906, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(d, e, n), [ep(d, e), 3867]):pl(d, n)). lemma(3907, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(e, d, r), [3893, 19]):pl(e, r)). lemma(3908, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(a, e, r), [ep(a, e), 3907]):pl(a, r)). lemma(3909, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(f, a, r), [3863, 3908]):pl(f, r)). lemma(3910, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(b, a, r), [3872, 3908]):pl(b, r)). lemma(3911, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(g, b, r), [3860, 3910]):pl(g, r)). lemma(3912, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(l, r, a, c), [5, 3908, 21, 11]): (ep(a, c);el(l, r))). lemma(3913, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(3914, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, c), [3421, ep(a, c)]):ep(e, c)). lemma(3915, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, c), [3914]):ep(c, e)). lemma(3916, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, c), [3863, ep(a, c)]):ep(f, c)). lemma(3917, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, c), [3916]):ep(c, f)). lemma(3918, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(b, a, c), [3872, ep(a, c)]):ep(b, c)). lemma(3919, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, c), [3918]):ep(c, b)). lemma(3920, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, c), [3860, 3918]):ep(g, c)). lemma(3921, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, c), [3920]):ep(c, g)). lemma(3922, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(d, e, c), [ep(d, e), 3914]):ep(d, c)). lemma(3923, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(d, c), [3922]):ep(c, d)). lemma(3924, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(c, a, q), [3913, 10]):pl(c, q)). lemma(3925, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(c, a, s), [3913, 12]):pl(c, s)). lemma(3926, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(c, a, m), [3913, 3422]):pl(c, m)). lemma(3927, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(c, a, n), [3913, 3866]):pl(c, n)). lemma(3928, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(c, a, p), [3913, 3883]):pl(c, p)). lemma(3929, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(p, q, b, h), [9, 3886, 25, 26]): (ep(b, h);el(p, q))). lemma(3930, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(3931, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, h), [3860, ep(b, h)]):ep(g, h)). lemma(3932, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, h), [3931]):ep(h, g)). lemma(3933, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(3934, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, h), [3933]):ep(h, a)). lemma(3935, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, h), [3421, 3933]):ep(e, h)). lemma(3936, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, h), [3935]):ep(h, e)). lemma(3937, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, h), [3863, 3933]):ep(f, h)). lemma(3938, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, h), [3937]):ep(h, f)). lemma(3939, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(d, e, h), [ep(d, e), 3935]):ep(d, h)). lemma(3940, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(d, h), [3939]):ep(h, d)). lemma(3941, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(c, a, h), [3913, 3933]):ep(c, h)). lemma(3942, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(c, h), [3941]):ep(h, c)). lemma(3943, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, n), [3930, 7]):pl(h, n)). lemma(3944, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, l), [3930, 13]):pl(h, l)). lemma(3945, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, o), [3930, 3857]):pl(h, o)). lemma(3946, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, s), [3930, 3888]):pl(h, s)). lemma(3947, [ep(b, h), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal4(s), [45, 3889, 3946, 28]):goal). lemma(3948, [el(p, q), ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal2, [el(p, q)]):goal). lemma(3949, [ep(a, c), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3929), [3947, 3948]):goal). lemma(3950, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(3951, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ltra(o, l, r), [3856, el(l, r)]):el(o, r)). lemma(3952, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(o, r), [3951]):el(r, o)). lemma(3953, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lcon(i, r, l), [27, 3950]):pl(i, l)). lemma(3954, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lcon(i, r, o), [27, 3952]):pl(i, o)). lemma(3955, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(l, s, a, i), [5, 12, 3953, 28]): (ep(a, i);el(l, s))). lemma(3956, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(3957, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, i), [3421, ep(a, i)]):ep(e, i)). lemma(3958, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, i), [3957]):ep(i, e)). lemma(3959, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, i), [3863, ep(a, i)]):ep(f, i)). lemma(3960, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, i), [3959]):ep(i, f)). lemma(3961, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(b, a, i), [3872, ep(a, i)]):ep(b, i)). lemma(3962, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, i), [3961]):ep(i, b)). lemma(3963, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, i), [3860, 3961]):ep(g, i)). lemma(3964, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, i), [3963]):ep(i, g)). lemma(3965, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(d, e, i), [ep(d, e), 3957]):ep(d, i)). lemma(3966, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(d, i), [3965]):ep(i, d)). lemma(3967, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(i, a, q), [3956, 10]):pl(i, q)). lemma(3968, [ep(a, i), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal4(q), [43, 3887, 26, 3967]):goal). lemma(3969, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(3970, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ltra(o, l, s), [3856, el(l, s)]):el(o, s)). lemma(3971, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(o, s), [3970]):el(s, o)). lemma(3972, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ltra(r, l, s), [3950, el(l, s)]):el(r, s)). lemma(3973, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(r, s), [3972]):el(s, r)). lemma(3974, [el(l, s), el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal3, [3973]):goal). lemma(3975, [el(l, r), ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3955), [3968, 3974]):goal). lemma(3976, [ep(d, e), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3912), [3949, 3975]):goal). lemma(3977, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(3978, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lcon(h, p, m), [25, 3977]):pl(h, m)). lemma(3979, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(p, q, b, h), [9, 3886, 25, 26]): (ep(b, h);el(p, q))). lemma(3980, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(3981, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(g, b, h), [3860, ep(b, h)]):ep(g, h)). lemma(3982, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(g, h), [3981]):ep(h, g)). lemma(3983, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(3984, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(a, h), [3983]):ep(h, a)). lemma(3985, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(e, a, h), [3421, 3983]):ep(e, h)). lemma(3986, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(e, h), [3985]):ep(h, e)). lemma(3987, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ptra(f, a, h), [3863, 3983]):ep(f, h)). lemma(3988, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(f, h), [3987]):ep(h, f)). lemma(3989, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, n), [3980, 7]):pl(h, n)). lemma(3990, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, l), [3980, 13]):pl(h, l)). lemma(3991, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, o), [3980, 3857]):pl(h, o)). lemma(3992, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(h, b, s), [3980, 3888]):pl(h, s)). lemma(3993, [ep(b, h), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal4(s), [45, 3889, 3992, 28]):goal). lemma(3994, [el(p, q), el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal2, [el(p, q)]):goal). lemma(3995, [el(m, p), ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3979), [3993, 3994]):goal). lemma(3996, [ep(a, b), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3892), [3976, 3995]):goal). lemma(3997, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(3998, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ltra(o, l, n), [3856, el(l, n)]):el(o, n)). lemma(3999, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(o, n), [3998]):el(n, o)). lemma(4000, [el(l, n), ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal1, [3999]):goal). lemma(4001, [ep(a, f), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3871), [3996, 4000]):goal). lemma(4002, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(s, m), [el(s, m)]):el(m, s)). lemma(4003, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lcon(d, m, s), [6, 4002]):pl(d, s)). lemma(4004, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lcon(i, s, m), [28, el(s, m)]):pl(i, m)). lemma(4005, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(unique(m, r, d, i), [6, 19, 4004, 27]): (ep(d, i);el(m, r))). lemma(4006, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(psym(d, i), [ep(d, i)]):ep(i, d)). lemma(4007, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(pcon(i, d, p), [4006, 17]):pl(i, p)). lemma(4008, [ep(d, i), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal4(p), [42, 3861, 25, 4007]):goal). lemma(4009, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(4010, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(ltra(s, m, r), [el(s, m), el(m, r)]):el(s, r)). lemma(4011, [el(m, r), el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(goal3, [4010]):goal). lemma(4012, [el(s, m), ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(4005), [4008, 4011]):goal). lemma(4013, [ep(b, g), el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3862), [4001, 4012]):goal). lemma(4014, [el(n, l), el(l, o), ep(a, e), pl(e, l)], ap(lsym(n, l), [el(n, l)]):el(l, n)). lemma(4015, [el(n, l), el(l, o), ep(a, e), pl(e, l)], ap(ltra(o, l, n), [3856, 4014]):el(o, n)). lemma(4016, [el(n, l), el(l, o), ep(a, e), pl(e, l)], ap(lsym(o, n), [4015]):el(n, o)). lemma(4017, [el(n, l), el(l, o), ep(a, e), pl(e, l)], ap(goal1, [4016]):goal). lemma(4018, [el(l, o), ep(a, e), pl(e, l)], ap(or_elim(3859), [4013, 4017]):goal). lemma(4019, [ep(a, e), pl(e, l)], ap(or_elim(3425), [3855, 4018]):goal). lemma(4020, [el(l, q), pl(e, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(4021, [el(l, q), pl(e, l)], ap(lcon(b, l, q), [13, el(l, q)]):pl(b, q)). lemma(4022, [el(l, q), pl(e, l)], ap(lcon(c, l, q), [21, el(l, q)]):pl(c, q)). lemma(4023, [el(l, q), pl(e, l)], ap(lcon(h, q, l), [26, 4020]):pl(h, l)). lemma(4024, [el(l, q), pl(e, l)], ap(unique(o, l, c, e), [8, 21, 16, pl(e, l)]): (ep(c, e);el(o, l))). lemma(4025, [ep(c, e), el(l, q), pl(e, l)], ap(psym(c, e), [ep(c, e)]):ep(e, c)). lemma(4026, [ep(c, e), el(l, q), pl(e, l)], ap(pcon(c, e, m), [ep(c, e), 14]):pl(c, m)). lemma(4027, [ep(c, e), el(l, q), pl(e, l)], ap(pcon(e, c, r), [4025, 11]):pl(e, r)). lemma(4028, [ep(c, e), el(l, q), pl(e, l)], ap(unique(m, r, d, e), [6, 19, 14, 4027]): (ep(d, e);el(m, r))). lemma(4029, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4030, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, d), [ep(c, e), 4029]):ep(c, d)). lemma(4031, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, d), [4030]):ep(d, c)). lemma(4032, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(4033, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(4034, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(d, e, l), [ep(d, e), pl(e, l)]):pl(d, l)). lemma(4035, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(e, d, p), [4029, 17]):pl(e, p)). lemma(4036, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(c, e, p), [ep(c, e), 4035]):pl(c, p)). lemma(4037, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(p, l, b, d), [9, 13, 17, 4034]): (ep(b, d);el(p, l))). lemma(4038, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, d), [ep(b, d)]):ep(d, b)). lemma(4039, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, b), [4029, 4038]):ep(e, b)). lemma(4040, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, b), [4039]):ep(b, e)). lemma(4041, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, b), [ep(c, e), 4039]):ep(c, b)). lemma(4042, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, b), [4041]):ep(b, c)). lemma(4043, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(b, d, m), [ep(b, d), 6]):pl(b, m)). lemma(4044, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(b, d, r), [ep(b, d), 19]):pl(b, r)). lemma(4045, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(b, d, o), [ep(b, d), 4032]):pl(b, o)). lemma(4046, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(d, b, n), [4038, 7]):pl(d, n)). lemma(4047, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(e, d, n), [4029, 4046]):pl(e, n)). lemma(4048, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(c, e, n), [ep(c, e), 4047]):pl(c, n)). lemma(4049, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(m, n, d, f), [6, 4046, 22, 15]): (ep(d, f);el(m, n))). lemma(4050, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(4051, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, f), [4029, ep(d, f)]):ep(e, f)). lemma(4052, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, f), [4051]):ep(f, e)). lemma(4053, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, f), [ep(c, e), 4051]):ep(c, f)). lemma(4054, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, f), [4053]):ep(f, c)). lemma(4055, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(b, d, f), [ep(b, d), ep(d, f)]):ep(b, f)). lemma(4056, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, f), [4055]):ep(f, b)). lemma(4057, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(4058, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(e, d, s), [4029, 4057]):pl(e, s)). lemma(4059, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(c, e, s), [ep(c, e), 4058]):pl(c, s)). lemma(4060, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(b, d, s), [ep(b, d), 4057]):pl(b, s)). lemma(4061, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(f, d, p), [4050, 17]):pl(f, p)). lemma(4062, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(f, d, r), [4050, 19]):pl(f, r)). lemma(4063, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(f, d, o), [4050, 4032]):pl(f, o)). lemma(4064, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(f, d, q), [4050, 4033]):pl(f, q)). lemma(4065, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(f, d, l), [4050, 4034]):pl(f, l)). lemma(4066, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(l, s, a, b), [5, 12, 13, 4060]): (ep(a, b);el(l, s))). lemma(4067, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(4068, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(d, b, a), [4038, 4067]):ep(d, a)). lemma(4069, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, a), [4068]):ep(a, d)). lemma(4070, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, a), [4029, 4068]):ep(e, a)). lemma(4071, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, a), [4070]):ep(a, e)). lemma(4072, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, a), [ep(c, e), 4070]):ep(c, a)). lemma(4073, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, a), [4072]):ep(a, c)). lemma(4074, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(f, d, a), [4050, 4068]):ep(f, a)). lemma(4075, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(f, a), [4074]):ep(a, f)). lemma(4076, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(4077, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(4078, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(a, b, m), [ep(a, b), 4043]):pl(a, m)). lemma(4079, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(a, b, r), [ep(a, b), 4044]):pl(a, r)). lemma(4080, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(a, b, o), [ep(a, b), 4045]):pl(a, o)). lemma(4081, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(l, p, a, h), [5, 4077, 4023, 25]): (ep(a, h);el(l, p))). lemma(4082, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(4083, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(b, a, h), [4067, ep(a, h)]):ep(b, h)). lemma(4084, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, h), [4083]):ep(h, b)). lemma(4085, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(d, b, h), [4038, 4083]):ep(d, h)). lemma(4086, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, h), [4085]):ep(h, d)). lemma(4087, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, h), [4029, 4085]):ep(e, h)). lemma(4088, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, h), [4087]):ep(h, e)). lemma(4089, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, h), [ep(c, e), 4087]):ep(c, h)). lemma(4090, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, h), [4089]):ep(h, c)). lemma(4091, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(f, d, h), [4050, 4085]):ep(f, h)). lemma(4092, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(f, h), [4091]):ep(h, f)). lemma(4093, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, a, s), [4082, 12]):pl(h, s)). lemma(4094, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, a, n), [4082, 4076]):pl(h, n)). lemma(4095, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, a, m), [4082, 4078]):pl(h, m)). lemma(4096, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, a, r), [4082, 4079]):pl(h, r)). lemma(4097, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, a, o), [4082, 4080]):pl(h, o)). lemma(4098, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(n, o, b, g), [7, 4045, 23, 24]): (ep(b, g);el(n, o))). lemma(4099, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4100, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(d, b, g), [4038, ep(b, g)]):ep(d, g)). lemma(4101, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, g), [4100]):ep(g, d)). lemma(4102, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, g), [4029, 4100]):ep(e, g)). lemma(4103, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, g), [4102]):ep(g, e)). lemma(4104, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, g), [ep(c, e), 4102]):ep(c, g)). lemma(4105, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, g), [4104]):ep(g, c)). lemma(4106, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(f, d, g), [4050, 4100]):ep(f, g)). lemma(4107, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(f, g), [4106]):ep(g, f)). lemma(4108, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4109, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(a, g), [4108]):ep(g, a)). lemma(4110, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(h, a, g), [4082, 4108]):ep(h, g)). lemma(4111, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(h, g), [4110]):ep(g, h)). lemma(4112, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, p), [4099, 9]):pl(g, p)). lemma(4113, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, l), [4099, 13]):pl(g, l)). lemma(4114, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, q), [4099, 4021]):pl(g, q)). lemma(4115, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, m), [4099, 4043]):pl(g, m)). lemma(4116, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, r), [4099, 4044]):pl(g, r)). lemma(4117, [ep(b, g), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal4(r), [44, 4116, 4096, 27]):goal). lemma(4118, [el(n, o), ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(4119, [ep(a, h), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4098), [4117, 4118]):goal). lemma(4120, [el(l, p), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(4121, [el(l, p), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ltra(q, l, p), [4020, el(l, p)]):el(q, p)). lemma(4122, [el(l, p), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(q, p), [4121]):el(p, q)). lemma(4123, [el(l, p), ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal2, [4122]):goal). lemma(4124, [ep(a, b), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4081), [4119, 4123]):goal). lemma(4125, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(4126, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ltra(q, l, s), [4020, el(l, s)]):el(q, s)). lemma(4127, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(q, s), [4126]):el(s, q)). lemma(4128, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lcon(h, q, s), [26, 4126]):pl(h, s)). lemma(4129, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lcon(i, s, l), [28, 4125]):pl(i, l)). lemma(4130, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lcon(i, s, q), [28, 4127]):pl(i, q)). lemma(4131, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(n, o, b, g), [7, 4045, 23, 24]): (ep(b, g);el(n, o))). lemma(4132, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4133, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(d, b, g), [4038, ep(b, g)]):ep(d, g)). lemma(4134, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, g), [4133]):ep(g, d)). lemma(4135, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, g), [4029, 4133]):ep(e, g)). lemma(4136, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, g), [4135]):ep(g, e)). lemma(4137, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, g), [ep(c, e), 4135]):ep(c, g)). lemma(4138, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, g), [4137]):ep(g, c)). lemma(4139, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(f, d, g), [4050, 4133]):ep(f, g)). lemma(4140, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(f, g), [4139]):ep(g, f)). lemma(4141, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, p), [4132, 9]):pl(g, p)). lemma(4142, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, b, l), [4132, 13]):pl(g, l)). lemma(4143, [ep(b, g), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal4(l), [38, 4142, 4023, 4129]):goal). lemma(4144, [el(n, o), el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal1, [el(n, o)]):goal). lemma(4145, [el(l, s), ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4131), [4143, 4144]):goal). lemma(4146, [ep(d, f), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4066), [4124, 4145]):goal). lemma(4147, [el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(4148, [el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lcon(g, n, m), [23, 4147]):pl(g, m)). lemma(4149, [el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(m, o, d, g), [6, 4032, 4148, 24]): (ep(d, g);el(m, o))). lemma(4150, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(4151, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, g), [4029, ep(d, g)]):ep(e, g)). lemma(4152, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, g), [4151]):ep(g, e)). lemma(4153, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, g), [ep(c, e), 4151]):ep(c, g)). lemma(4154, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, g), [4153]):ep(g, c)). lemma(4155, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(b, d, g), [ep(b, d), ep(d, g)]):ep(b, g)). lemma(4156, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, g), [4155]):ep(g, b)). lemma(4157, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, d, p), [4150, 17]):pl(g, p)). lemma(4158, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, d, r), [4150, 19]):pl(g, r)). lemma(4159, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, d, q), [4150, 4033]):pl(g, q)). lemma(4160, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(g, d, l), [4150, 4034]):pl(g, l)). lemma(4161, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(unique(p, l, b, h), [9, 13, 25, 4023]): (ep(b, h);el(p, l))). lemma(4162, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4163, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(d, b, h), [4038, ep(b, h)]):ep(d, h)). lemma(4164, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(d, h), [4163]):ep(h, d)). lemma(4165, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(e, d, h), [4029, 4163]):ep(e, h)). lemma(4166, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(e, h), [4165]):ep(h, e)). lemma(4167, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(c, e, h), [ep(c, e), 4165]):ep(c, h)). lemma(4168, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(c, h), [4167]):ep(h, c)). lemma(4169, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ptra(g, d, h), [4150, 4163]):ep(g, h)). lemma(4170, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(psym(g, h), [4169]):ep(h, g)). lemma(4171, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, b, n), [4162, 7]):pl(h, n)). lemma(4172, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, b, m), [4162, 4043]):pl(h, m)). lemma(4173, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, b, r), [4162, 4044]):pl(h, r)). lemma(4174, [ep(b, h), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal4(r), [44, 4158, 4173, 27]):goal). lemma(4175, [el(p, l), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(4176, [el(p, l), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ltra(q, l, p), [4020, 4175]):el(q, p)). lemma(4177, [el(p, l), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(q, p), [4176]):el(p, q)). lemma(4178, [el(p, l), ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal2, [4177]):goal). lemma(4179, [ep(d, g), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4161), [4174, 4178]):goal). lemma(4180, [el(m, o), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(4181, [el(m, o), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ltra(n, m, o), [4147, el(m, o)]):el(n, o)). lemma(4182, [el(m, o), el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal1, [4181]):goal). lemma(4183, [el(m, n), ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4149), [4179, 4182]):goal). lemma(4184, [ep(b, d), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4049), [4146, 4183]):goal). lemma(4185, [el(p, l), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(4186, [el(p, l), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(ltra(q, l, p), [4020, 4185]):el(q, p)). lemma(4187, [el(p, l), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(lsym(q, p), [4186]):el(p, q)). lemma(4188, [el(p, l), ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(goal2, [4187]):goal). lemma(4189, [ep(d, e), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4037), [4184, 4188]):goal). lemma(4190, [el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(4191, [el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lcon(f, m, r), [22, el(m, r)]):pl(f, r)). lemma(4192, [el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lcon(i, r, m), [27, 4190]):pl(i, m)). lemma(4193, [el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(unique(p, l, b, h), [9, 13, 25, 4023]): (ep(b, h);el(p, l))). lemma(4194, [ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4195, [ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(pcon(h, b, n), [4194, 7]):pl(h, n)). lemma(4196, [ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(unique(s, m, f, i), [20, 22, 28, 4192]): (ep(f, i);el(s, m))). lemma(4197, [ep(f, i), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(psym(f, i), [ep(f, i)]):ep(i, f)). lemma(4198, [ep(f, i), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(pcon(i, f, n), [4197, 15]):pl(i, n)). lemma(4199, [ep(f, i), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(goal4(n), [40, 23, 4195, 4198]):goal). lemma(4200, [el(s, m), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lsym(s, m), [el(s, m)]):el(m, s)). lemma(4201, [el(s, m), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(ltra(r, m, s), [4190, 4200]):el(r, s)). lemma(4202, [el(s, m), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lsym(r, s), [4201]):el(s, r)). lemma(4203, [el(s, m), ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(goal3, [4202]):goal). lemma(4204, [ep(b, h), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4196), [4199, 4203]):goal). lemma(4205, [el(p, l), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(4206, [el(p, l), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(ltra(q, l, p), [4020, 4205]):el(q, p)). lemma(4207, [el(p, l), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(lsym(q, p), [4206]):el(p, q)). lemma(4208, [el(p, l), el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(goal2, [4207]):goal). lemma(4209, [el(m, r), ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4193), [4204, 4208]):goal). lemma(4210, [ep(c, e), el(l, q), pl(e, l)], ap(or_elim(4028), [4189, 4209]):goal). lemma(4211, [el(o, l), el(l, q), pl(e, l)], ap(lsym(o, l), [el(o, l)]):el(l, o)). lemma(4212, [el(o, l), el(l, q), pl(e, l)], ap(ltra(q, l, o), [4020, 4211]):el(q, o)). lemma(4213, [el(o, l), el(l, q), pl(e, l)], ap(lsym(q, o), [4212]):el(o, q)). lemma(4214, [el(o, l), el(l, q), pl(e, l)], ap(lcon(a, l, o), [5, 4211]):pl(a, o)). lemma(4215, [el(o, l), el(l, q), pl(e, l)], ap(lcon(b, l, o), [13, 4211]):pl(b, o)). lemma(4216, [el(o, l), el(l, q), pl(e, l)], ap(lcon(g, o, l), [24, el(o, l)]):pl(g, l)). lemma(4217, [el(o, l), el(l, q), pl(e, l)], ap(lcon(g, o, q), [24, 4213]):pl(g, q)). lemma(4218, [el(o, l), el(l, q), pl(e, l)], ap(lcon(h, q, o), [26, 4212]):pl(h, o)). lemma(4219, [el(o, l), el(l, q), pl(e, l)], ap(unique(n, l, b, g), [7, 13, 23, 4216]): (ep(b, g);el(n, l))). lemma(4220, [ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4221, [ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(pcon(g, b, p), [4220, 9]):pl(g, p)). lemma(4222, [ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(unique(p, l, b, h), [9, 13, 25, 4023]): (ep(b, h);el(p, l))). lemma(4223, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4224, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(ptra(g, b, h), [4220, ep(b, h)]):ep(g, h)). lemma(4225, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(psym(g, h), [4224]):ep(h, g)). lemma(4226, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(pcon(h, b, n), [4223, 7]):pl(h, n)). lemma(4227, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(line(a, d), [29, 30]): (dom(A), pl(a, A), pl(d, A))). lemma(4228, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(4229, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(line(b, i), [31, 37]): (dom(A), pl(b, A), pl(i, A))). lemma(4230, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(lref(b, par(1)), [pl(b, par(1))]):el(par(1), par(1))). lemma(4231, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(pcon(g, b, par(1)), [4220, pl(b, par(1))]):pl(g, par(1))). lemma(4232, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(pcon(h, b, par(1)), [4223, pl(b, par(1))]):pl(h, par(1))). lemma(4233, [ (dom(par(1)), pl(b, par(1)), pl(i, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(goal4(par(1)), [4230, 4231, 4232, pl(i, par(1))]):goal). lemma(4234, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(ex_elim(4229), 4233):goal). lemma(4235, [ep(b, h), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(ex_elim(4227), 4234):goal). lemma(4236, [el(p, l), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(lsym(p, l), [el(p, l)]):el(l, p)). lemma(4237, [el(p, l), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(ltra(q, l, p), [4020, 4236]):el(q, p)). lemma(4238, [el(p, l), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(lsym(q, p), [4237]):el(p, q)). lemma(4239, [el(p, l), ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(goal2, [4238]):goal). lemma(4240, [ep(b, g), el(o, l), el(l, q), pl(e, l)], ap(or_elim(4222), [4235, 4239]):goal). lemma(4241, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(lsym(n, l), [el(n, l)]):el(l, n)). lemma(4242, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(ltra(q, l, n), [4020, 4241]):el(q, n)). lemma(4243, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(lsym(q, n), [4242]):el(n, q)). lemma(4244, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(ltra(o, l, n), [el(o, l), 4241]):el(o, n)). lemma(4245, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(lsym(o, n), [4244]):el(n, o)). lemma(4246, [el(n, l), el(o, l), el(l, q), pl(e, l)], ap(goal1, [4245]):goal). lemma(4247, [el(o, l), el(l, q), pl(e, l)], ap(or_elim(4219), [4240, 4246]):goal). lemma(4248, [el(l, q), pl(e, l)], ap(or_elim(4024), [4210, 4247]):goal). lemma(4249, [pl(e, l)], ap(or_elim(3420), [4019, 4248]):goal). lemma(4250, [pl(f, l)], ap(unique(l, s, a, f), [5, 12, pl(f, l), 20]): (ep(a, f);el(l, s))). lemma(4251, [ep(a, f), pl(f, l)], ap(psym(a, f), [ep(a, f)]):ep(f, a)). lemma(4252, [ep(a, f), pl(f, l)], ap(pcon(a, f, n), [ep(a, f), 15]):pl(a, n)). lemma(4253, [ep(a, f), pl(f, l)], ap(pcon(a, f, m), [ep(a, f), 22]):pl(a, m)). lemma(4254, [ep(a, f), pl(f, l)], ap(pcon(f, a, q), [4251, 10]):pl(f, q)). lemma(4255, [ep(a, f), pl(f, l)], ap(unique(l, n, a, b), [5, 4252, 13, 7]): (ep(a, b);el(l, n))). lemma(4256, [ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(4257, [ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, b), [4251, ep(a, b)]):ep(f, b)). lemma(4258, [ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, b), [4257]):ep(b, f)). lemma(4259, [ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(4260, [ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, a, p), [4251, 4259]):pl(f, p)). lemma(4261, [ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, q), [4256, 10]):pl(b, q)). lemma(4262, [ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, s), [4256, 12]):pl(b, s)). lemma(4263, [ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, m), [4256, 4253]):pl(b, m)). lemma(4264, [ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, p, d, f), [6, 17, 22, 4260]): (ep(d, f);el(m, p))). lemma(4265, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(4266, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, d), [ep(a, f), 4265]):ep(a, d)). lemma(4267, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, d), [4266]):ep(d, a)). lemma(4268, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, d), [4256, 4266]):ep(b, d)). lemma(4269, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, d), [4268]):ep(d, b)). lemma(4270, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(4271, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(4272, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, f, l), [ep(d, f), pl(f, l)]):pl(d, l)). lemma(4273, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, f, q), [ep(d, f), 4254]):pl(d, q)). lemma(4274, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, d, r), [4265, 19]):pl(f, r)). lemma(4275, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, f, r), [ep(a, f), 4274]):pl(a, r)). lemma(4276, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, r), [4256, 4275]):pl(b, r)). lemma(4277, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, r, a, c), [5, 4275, 21, 11]): (ep(a, c);el(l, r))). lemma(4278, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(4279, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, c), [4251, ep(a, c)]):ep(f, c)). lemma(4280, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, c), [4279]):ep(c, f)). lemma(4281, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, c), [4256, ep(a, c)]):ep(b, c)). lemma(4282, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, c), [4281]):ep(c, b)). lemma(4283, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, c), [ep(d, f), 4279]):ep(d, c)). lemma(4284, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, c), [4283]):ep(c, d)). lemma(4285, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, c, o), [ep(a, c), 8]):pl(a, o)). lemma(4286, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, a, o), [4251, 4285]):pl(f, o)). lemma(4287, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, o), [4256, 4285]):pl(b, o)). lemma(4288, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, f, o), [ep(d, f), 4286]):pl(d, o)). lemma(4289, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, q), [4278, 10]):pl(c, q)). lemma(4290, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, s), [4278, 12]):pl(c, s)). lemma(4291, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, n), [4278, 4252]):pl(c, n)). lemma(4292, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, m), [4278, 4253]):pl(c, m)). lemma(4293, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, p), [4278, 4259]):pl(c, p)). lemma(4294, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, q, d, e), [6, 4273, 14, 18]): (ep(d, e);el(m, q))). lemma(4295, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4296, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, e), [4265, ep(d, e)]):ep(f, e)). lemma(4297, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, e), [4296]):ep(e, f)). lemma(4298, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, e), [ep(a, f), 4296]):ep(a, e)). lemma(4299, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, e), [4298]):ep(e, a)). lemma(4300, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, e), [4256, 4298]):ep(b, e)). lemma(4301, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, e), [4300]):ep(e, b)). lemma(4302, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, e), [4278, 4298]):ep(c, e)). lemma(4303, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, e), [4302]):ep(e, c)). lemma(4304, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, p), [4295, 17]):pl(e, p)). lemma(4305, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, r), [4295, 19]):pl(e, r)). lemma(4306, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, n), [4295, 4270]):pl(e, n)). lemma(4307, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, s), [4295, 4271]):pl(e, s)). lemma(4308, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, l), [4295, 4272]):pl(e, l)). lemma(4309, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(n, o, b, g), [7, 4287, 23, 24]): (ep(b, g);el(n, o))). lemma(4310, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4311, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4312, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4311]):ep(g, a)). lemma(4313, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4311]):ep(f, g)). lemma(4314, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4313]):ep(g, f)). lemma(4315, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4313]):ep(d, g)). lemma(4316, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [4315]):ep(g, d)). lemma(4317, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4278, 4311]):ep(c, g)). lemma(4318, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4317]):ep(g, c)). lemma(4319, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, g), [4295, 4315]):ep(e, g)). lemma(4320, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4319]):ep(g, e)). lemma(4321, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, p), [4310, 9]):pl(g, p)). lemma(4322, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, l), [4310, 13]):pl(g, l)). lemma(4323, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, q), [4310, 4261]):pl(g, q)). lemma(4324, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, s), [4310, 4262]):pl(g, s)). lemma(4325, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, m), [4310, 4263]):pl(g, m)). lemma(4326, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, r), [4310, 4276]):pl(g, r)). lemma(4327, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(p, q, b, h), [9, 4261, 25, 26]): (ep(b, h);el(p, q))). lemma(4328, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4329, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(4330, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, h), [4329]):ep(h, a)). lemma(4331, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, h), [4251, 4329]):ep(f, h)). lemma(4332, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, h), [4331]):ep(h, f)). lemma(4333, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, h), [ep(d, f), 4331]):ep(d, h)). lemma(4334, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, h), [4333]):ep(h, d)). lemma(4335, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, h), [4278, 4329]):ep(c, h)). lemma(4336, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, h), [4335]):ep(h, c)). lemma(4337, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, h), [4295, 4333]):ep(e, h)). lemma(4338, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, h), [4337]):ep(h, e)). lemma(4339, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(g, b, h), [4310, ep(b, h)]):ep(g, h)). lemma(4340, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(g, h), [4339]):ep(h, g)). lemma(4341, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, n), [4328, 7]):pl(h, n)). lemma(4342, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, l), [4328, 13]):pl(h, l)). lemma(4343, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, s), [4328, 4262]):pl(h, s)). lemma(4344, [ep(b, h), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4324, 4343, 28]):goal). lemma(4345, [el(p, q), ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal2, [el(p, q)]):goal). lemma(4346, [ep(b, g), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4327), [4344, 4345]):goal). lemma(4347, [el(n, o), ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4348, [ep(d, e), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4309), [4346, 4347]):goal). lemma(4349, [el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(4350, [el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(h, q, m), [26, 4349]):pl(h, m)). lemma(4351, [el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, p, d, h), [6, 17, 4350, 25]): (ep(d, h);el(m, p))). lemma(4352, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(4353, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, h), [4265, ep(d, h)]):ep(f, h)). lemma(4354, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, h), [4353]):ep(h, f)). lemma(4355, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, h), [ep(a, f), 4353]):ep(a, h)). lemma(4356, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, h), [4355]):ep(h, a)). lemma(4357, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, h), [4256, 4355]):ep(b, h)). lemma(4358, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, h), [4357]):ep(h, b)). lemma(4359, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, h), [4278, 4355]):ep(c, h)). lemma(4360, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, h), [4359]):ep(h, c)). lemma(4361, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, r), [4352, 19]):pl(h, r)). lemma(4362, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, n), [4352, 4270]):pl(h, n)). lemma(4363, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, s), [4352, 4271]):pl(h, s)). lemma(4364, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, l), [4352, 4272]):pl(h, l)). lemma(4365, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, o), [4352, 4288]):pl(h, o)). lemma(4366, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, o, d, e), [6, 4288, 14, 16]): (ep(d, e);el(m, o))). lemma(4367, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4368, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, e), [4265, ep(d, e)]):ep(f, e)). lemma(4369, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, e), [4368]):ep(e, f)). lemma(4370, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, e), [ep(a, f), 4368]):ep(a, e)). lemma(4371, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, e), [4370]):ep(e, a)). lemma(4372, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, e), [4256, 4370]):ep(b, e)). lemma(4373, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, e), [4372]):ep(e, b)). lemma(4374, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, e), [4278, 4370]):ep(c, e)). lemma(4375, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, e), [4374]):ep(e, c)). lemma(4376, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, d, e), [4352, ep(d, e)]):ep(h, e)). lemma(4377, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, e), [4376]):ep(e, h)). lemma(4378, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, p), [4367, 17]):pl(e, p)). lemma(4379, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, r), [4367, 19]):pl(e, r)). lemma(4380, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, n), [4367, 4270]):pl(e, n)). lemma(4381, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, s), [4367, 4271]):pl(e, s)). lemma(4382, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, l), [4367, 4272]):pl(e, l)). lemma(4383, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(n, o, b, g), [7, 4287, 23, 24]): (ep(b, g);el(n, o))). lemma(4384, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4385, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4386, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4385]):ep(g, a)). lemma(4387, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4385]):ep(f, g)). lemma(4388, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4387]):ep(g, f)). lemma(4389, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4387]):ep(d, g)). lemma(4390, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [4389]):ep(g, d)). lemma(4391, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4278, 4385]):ep(c, g)). lemma(4392, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4391]):ep(g, c)). lemma(4393, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, d, g), [4352, 4389]):ep(h, g)). lemma(4394, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, g), [4393]):ep(g, h)). lemma(4395, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, g), [4367, 4389]):ep(e, g)). lemma(4396, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4395]):ep(g, e)). lemma(4397, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, p), [4384, 9]):pl(g, p)). lemma(4398, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, l), [4384, 13]):pl(g, l)). lemma(4399, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, q), [4384, 4261]):pl(g, q)). lemma(4400, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, s), [4384, 4262]):pl(g, s)). lemma(4401, [ep(b, g), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4400, 4363, 28]):goal). lemma(4402, [el(n, o), ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4403, [ep(d, e), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4383), [4401, 4402]):goal). lemma(4404, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(4405, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(q, m, o), [4349, el(m, o)]):el(q, o)). lemma(4406, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(q, o), [4405]):el(o, q)). lemma(4407, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(g, o, m), [24, 4404]):pl(g, m)). lemma(4408, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(g, o, q), [24, 4406]):pl(g, q)). lemma(4409, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, n, d, g), [6, 4270, 4407, 23]): (ep(d, g);el(m, n))). lemma(4410, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(4411, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, g), [4265, ep(d, g)]):ep(f, g)). lemma(4412, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4411]):ep(g, f)). lemma(4413, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, g), [ep(a, f), 4411]):ep(a, g)). lemma(4414, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4413]):ep(g, a)). lemma(4415, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, g), [4256, 4413]):ep(b, g)). lemma(4416, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [4415]):ep(g, b)). lemma(4417, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4278, 4413]):ep(c, g)). lemma(4418, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4417]):ep(g, c)). lemma(4419, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, d, g), [4352, ep(d, g)]):ep(h, g)). lemma(4420, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, g), [4419]):ep(g, h)). lemma(4421, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, d, p), [4410, 17]):pl(g, p)). lemma(4422, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, d, r), [4410, 19]):pl(g, r)). lemma(4423, [ep(d, g), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(r), [44, 4422, 4361, 27]):goal). lemma(4424, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(4425, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(q, m, n), [4349, el(m, n)]):el(q, n)). lemma(4426, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(q, n), [4425]):el(n, q)). lemma(4427, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(o, m, n), [4404, el(m, n)]):el(o, n)). lemma(4428, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(o, n), [4427]):el(n, o)). lemma(4429, [el(m, n), el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [4428]):goal). lemma(4430, [el(m, o), ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4409), [4423, 4429]):goal). lemma(4431, [ep(d, h), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4366), [4403, 4430]):goal). lemma(4432, [el(m, p), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(4433, [el(m, p), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(q, m, p), [4349, el(m, p)]):el(q, p)). lemma(4434, [el(m, p), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(q, p), [4433]):el(p, q)). lemma(4435, [el(m, p), el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal2, [4434]):goal). lemma(4436, [el(m, q), ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4351), [4431, 4435]):goal). lemma(4437, [ep(a, c), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4294), [4348, 4436]):goal). lemma(4438, [el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(4439, [el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(i, r, l), [27, 4438]):pl(i, l)). lemma(4440, [el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, s, a, i), [5, 12, 4439, 28]): (ep(a, i);el(l, s))). lemma(4441, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(4442, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, i), [4251, ep(a, i)]):ep(f, i)). lemma(4443, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, i), [4442]):ep(i, f)). lemma(4444, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, i), [4256, ep(a, i)]):ep(b, i)). lemma(4445, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, i), [4444]):ep(i, b)). lemma(4446, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, i), [ep(d, f), 4442]):ep(d, i)). lemma(4447, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, i), [4446]):ep(i, d)). lemma(4448, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(i, a, q), [4441, 10]):pl(i, q)). lemma(4449, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(i, a, n), [4441, 4252]):pl(i, n)). lemma(4450, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(i, a, m), [4441, 4253]):pl(i, m)). lemma(4451, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(i, a, p), [4441, 4259]):pl(i, p)). lemma(4452, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, q, d, e), [6, 4273, 14, 18]): (ep(d, e);el(m, q))). lemma(4453, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4454, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, e), [4265, ep(d, e)]):ep(f, e)). lemma(4455, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, e), [4454]):ep(e, f)). lemma(4456, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, e), [ep(a, f), 4454]):ep(a, e)). lemma(4457, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, e), [4456]):ep(e, a)). lemma(4458, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, e), [4256, 4456]):ep(b, e)). lemma(4459, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, e), [4458]):ep(e, b)). lemma(4460, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(i, a, e), [4441, 4456]):ep(i, e)). lemma(4461, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(i, e), [4460]):ep(e, i)). lemma(4462, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(4463, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, d, o), [4265, 4462]):pl(f, o)). lemma(4464, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, f, o), [ep(a, f), 4463]):pl(a, o)). lemma(4465, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, o), [4256, 4464]):pl(b, o)). lemma(4466, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(i, a, o), [4441, 4464]):pl(i, o)). lemma(4467, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, p), [4453, 17]):pl(e, p)). lemma(4468, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, r), [4453, 19]):pl(e, r)). lemma(4469, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, n), [4453, 4270]):pl(e, n)). lemma(4470, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, s), [4453, 4271]):pl(e, s)). lemma(4471, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, d, l), [4453, 4272]):pl(e, l)). lemma(4472, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, o, a, c), [5, 4464, 21, 8]): (ep(a, c);el(l, o))). lemma(4473, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(4474, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, c), [4251, ep(a, c)]):ep(f, c)). lemma(4475, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, c), [4474]):ep(c, f)). lemma(4476, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, c), [4256, ep(a, c)]):ep(b, c)). lemma(4477, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, c), [4476]):ep(c, b)). lemma(4478, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, c), [ep(d, f), 4474]):ep(d, c)). lemma(4479, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, c), [4478]):ep(c, d)). lemma(4480, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(i, a, c), [4441, ep(a, c)]):ep(i, c)). lemma(4481, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(i, c), [4480]):ep(c, i)). lemma(4482, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, c), [4453, 4478]):ep(e, c)). lemma(4483, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, c), [4482]):ep(c, e)). lemma(4484, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, q), [4473, 10]):pl(c, q)). lemma(4485, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, s), [4473, 12]):pl(c, s)). lemma(4486, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, n), [4473, 4252]):pl(c, n)). lemma(4487, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, m), [4473, 4253]):pl(c, m)). lemma(4488, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, p), [4473, 4259]):pl(c, p)). lemma(4489, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(n, o, b, g), [7, 4465, 23, 24]): (ep(b, g);el(n, o))). lemma(4490, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4491, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4492, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4491]):ep(g, a)). lemma(4493, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4491]):ep(f, g)). lemma(4494, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4493]):ep(g, f)). lemma(4495, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4493]):ep(d, g)). lemma(4496, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [4495]):ep(g, d)). lemma(4497, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(i, a, g), [4441, 4491]):ep(i, g)). lemma(4498, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(i, g), [4497]):ep(g, i)). lemma(4499, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, g), [4453, 4495]):ep(e, g)). lemma(4500, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4499]):ep(g, e)). lemma(4501, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4473, 4491]):ep(c, g)). lemma(4502, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4501]):ep(g, c)). lemma(4503, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, p), [4490, 9]):pl(g, p)). lemma(4504, [ep(b, g), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(p), [42, 4503, 25, 4451]):goal). lemma(4505, [el(n, o), ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4506, [ep(a, c), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4489), [4504, 4505]):goal). lemma(4507, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(4508, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(r, l, o), [4438, el(l, o)]):el(r, o)). lemma(4509, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(r, o), [4508]):el(o, r)). lemma(4510, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(g, o, l), [24, 4507]):pl(g, l)). lemma(4511, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(g, o, r), [24, 4509]):pl(g, r)). lemma(4512, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, n, a, g), [5, 4252, 4510, 23]): (ep(a, g);el(l, n))). lemma(4513, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(4514, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, ep(a, g)]):ep(f, g)). lemma(4515, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4514]):ep(g, f)). lemma(4516, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, g), [4256, ep(a, g)]):ep(b, g)). lemma(4517, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [4516]):ep(g, b)). lemma(4518, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4514]):ep(d, g)). lemma(4519, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [4518]):ep(g, d)). lemma(4520, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(i, a, g), [4441, ep(a, g)]):ep(i, g)). lemma(4521, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(i, g), [4520]):ep(g, i)). lemma(4522, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, d, g), [4453, 4518]):ep(e, g)). lemma(4523, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4522]):ep(g, e)). lemma(4524, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, a, q), [4513, 10]):pl(g, q)). lemma(4525, [ep(a, g), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(q), [43, 4524, 26, 4448]):goal). lemma(4526, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(4527, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(r, l, n), [4438, el(l, n)]):el(r, n)). lemma(4528, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(r, n), [4527]):el(n, r)). lemma(4529, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(o, l, n), [4507, el(l, n)]):el(o, n)). lemma(4530, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(o, n), [4529]):el(n, o)). lemma(4531, [el(l, n), el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [4530]):goal). lemma(4532, [el(l, o), ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4512), [4525, 4531]):goal). lemma(4533, [ep(d, e), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4472), [4506, 4532]):goal). lemma(4534, [el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(4535, [el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(h, q, m), [26, 4534]):pl(h, m)). lemma(4536, [el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, p, d, h), [6, 17, 4535, 25]): (ep(d, h);el(m, p))). lemma(4537, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(4538, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, d, h), [4265, ep(d, h)]):ep(f, h)). lemma(4539, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, h), [4538]):ep(h, f)). lemma(4540, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, f, h), [ep(a, f), 4538]):ep(a, h)). lemma(4541, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, h), [4540]):ep(h, a)). lemma(4542, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, h), [4256, 4540]):ep(b, h)). lemma(4543, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, h), [4542]):ep(h, b)). lemma(4544, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(i, a, h), [4441, 4540]):ep(i, h)). lemma(4545, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(psym(i, h), [4544]):ep(h, i)). lemma(4546, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, r), [4537, 19]):pl(h, r)). lemma(4547, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, d, n), [4537, 4270]):pl(h, n)). lemma(4548, [ep(d, h), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(n), [40, 23, 4547, 4449]):goal). lemma(4549, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(4550, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(q, m, p), [4534, el(m, p)]):el(q, p)). lemma(4551, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(q, p), [4550]):el(p, q)). lemma(4552, [el(m, p), el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal2, [4551]):goal). lemma(4553, [el(m, q), ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4536), [4548, 4552]):goal). lemma(4554, [ep(a, i), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4452), [4533, 4553]):goal). lemma(4555, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(4556, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(r, l, s), [4438, el(l, s)]):el(r, s)). lemma(4557, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(r, s), [4556]):el(s, r)). lemma(4558, [el(l, s), el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(goal3, [4557]):goal). lemma(4559, [el(l, r), ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4440), [4554, 4558]):goal). lemma(4560, [ep(d, f), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4277), [4437, 4559]):goal). lemma(4561, [el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(4562, [el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(e, m, p), [14, el(m, p)]):pl(e, p)). lemma(4563, [el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(h, p, m), [25, 4561]):pl(h, m)). lemma(4564, [el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(p, q, b, h), [9, 4261, 25, 26]): (ep(b, h);el(p, q))). lemma(4565, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4566, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(4567, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, h), [4566]):ep(h, a)). lemma(4568, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, h), [4251, 4566]):ep(f, h)). lemma(4569, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, h), [4568]):ep(h, f)). lemma(4570, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, n), [4565, 7]):pl(h, n)). lemma(4571, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, l), [4565, 13]):pl(h, l)). lemma(4572, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, s), [4565, 4262]):pl(h, s)). lemma(4573, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(p, q, b, e), [9, 4261, 4562, 18]): (ep(b, e);el(p, q))). lemma(4574, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, e), [ep(b, e)]):ep(e, b)). lemma(4575, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, e), [ep(a, b), ep(b, e)]):ep(a, e)). lemma(4576, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, e), [4575]):ep(e, a)). lemma(4577, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, e), [4251, 4575]):ep(f, e)). lemma(4578, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, e), [4577]):ep(e, f)). lemma(4579, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, e), [4565, ep(b, e)]):ep(h, e)). lemma(4580, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, e), [4579]):ep(e, h)). lemma(4581, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, e, o), [ep(b, e), 16]):pl(b, o)). lemma(4582, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, b, o), [ep(a, b), 4581]):pl(a, o)). lemma(4583, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, a, o), [4251, 4582]):pl(f, o)). lemma(4584, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, o), [4565, 4581]):pl(h, o)). lemma(4585, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, b, n), [4574, 7]):pl(e, n)). lemma(4586, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, b, l), [4574, 13]):pl(e, l)). lemma(4587, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, b, s), [4574, 4262]):pl(e, s)). lemma(4588, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, o, a, c), [5, 4582, 21, 8]): (ep(a, c);el(l, o))). lemma(4589, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(4590, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, c), [4251, ep(a, c)]):ep(f, c)). lemma(4591, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, c), [4590]):ep(c, f)). lemma(4592, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, c), [4256, ep(a, c)]):ep(b, c)). lemma(4593, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, c), [4592]):ep(c, b)). lemma(4594, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, c), [4565, 4592]):ep(h, c)). lemma(4595, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, c), [4594]):ep(c, h)). lemma(4596, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, b, c), [4574, 4592]):ep(e, c)). lemma(4597, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, c), [4596]):ep(c, e)). lemma(4598, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(4599, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(f, a, r), [4251, 4598]):pl(f, r)). lemma(4600, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(b, a, r), [4256, 4598]):pl(b, r)). lemma(4601, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(h, b, r), [4565, 4600]):pl(h, r)). lemma(4602, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(e, b, r), [4574, 4600]):pl(e, r)). lemma(4603, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, q), [4589, 10]):pl(c, q)). lemma(4604, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, s), [4589, 12]):pl(c, s)). lemma(4605, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, n), [4589, 4252]):pl(c, n)). lemma(4606, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, m), [4589, 4253]):pl(c, m)). lemma(4607, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(c, a, p), [4589, 4259]):pl(c, p)). lemma(4608, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(m, r, d, e), [6, 19, 14, 4602]): (ep(d, e);el(m, r))). lemma(4609, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4610, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, e, d), [ep(b, e), 4609]):ep(b, d)). lemma(4611, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, d), [4610]):ep(d, b)). lemma(4612, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, d), [ep(a, b), 4610]):ep(a, d)). lemma(4613, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, d), [4612]):ep(d, a)). lemma(4614, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, d), [4251, 4612]):ep(f, d)). lemma(4615, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, d), [4614]):ep(d, f)). lemma(4616, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, d), [4565, 4610]):ep(h, d)). lemma(4617, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, d), [4616]):ep(d, h)). lemma(4618, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, d), [4589, 4612]):ep(c, d)). lemma(4619, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, d), [4618]):ep(d, c)). lemma(4620, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(4621, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(4622, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, n), [ep(d, e), 4585]):pl(d, n)). lemma(4623, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, l), [ep(d, e), 4586]):pl(d, l)). lemma(4624, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(d, e, s), [ep(d, e), 4587]):pl(d, s)). lemma(4625, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(n, o, b, g), [7, 4581, 23, 24]): (ep(b, g);el(n, o))). lemma(4626, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4627, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4628, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4627]):ep(g, a)). lemma(4629, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4627]):ep(f, g)). lemma(4630, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4629]):ep(g, f)). lemma(4631, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, g), [4565, ep(b, g)]):ep(h, g)). lemma(4632, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, g), [4631]):ep(g, h)). lemma(4633, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, b, g), [4574, ep(b, g)]):ep(e, g)). lemma(4634, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4633]):ep(g, e)). lemma(4635, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4589, 4627]):ep(c, g)). lemma(4636, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4635]):ep(g, c)). lemma(4637, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(d, e, g), [ep(d, e), 4633]):ep(d, g)). lemma(4638, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(d, g), [4637]):ep(g, d)). lemma(4639, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, p), [4626, 9]):pl(g, p)). lemma(4640, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, l), [4626, 13]):pl(g, l)). lemma(4641, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, q), [4626, 4261]):pl(g, q)). lemma(4642, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, s), [4626, 4262]):pl(g, s)). lemma(4643, [ep(b, g), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4642, 4572, 28]):goal). lemma(4644, [el(n, o), ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4645, [ep(d, e), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4625), [4643, 4644]):goal). lemma(4646, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(4647, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(p, m, r), [4561, el(m, r)]):el(p, r)). lemma(4648, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(p, r), [4647]):el(r, p)). lemma(4649, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(i, r, m), [27, 4646]):pl(i, m)). lemma(4650, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(i, r, p), [27, 4648]):pl(i, p)). lemma(4651, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(n, o, b, g), [7, 4581, 23, 24]): (ep(b, g);el(n, o))). lemma(4652, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4653, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4654, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [4653]):ep(g, a)). lemma(4655, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4653]):ep(f, g)). lemma(4656, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4655]):ep(g, f)). lemma(4657, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, g), [4565, ep(b, g)]):ep(h, g)). lemma(4658, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, g), [4657]):ep(g, h)). lemma(4659, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, b, g), [4574, ep(b, g)]):ep(e, g)). lemma(4660, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4659]):ep(g, e)). lemma(4661, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(c, a, g), [4589, 4653]):ep(c, g)). lemma(4662, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(c, g), [4661]):ep(g, c)). lemma(4663, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, b, p), [4652, 9]):pl(g, p)). lemma(4664, [ep(b, g), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(p), [42, 4663, 25, 4650]):goal). lemma(4665, [el(n, o), el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4666, [el(m, r), ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4651), [4664, 4665]):goal). lemma(4667, [ep(a, c), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4608), [4645, 4666]):goal). lemma(4668, [el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(4669, [el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lcon(g, o, l), [24, 4668]):pl(g, l)). lemma(4670, [el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(unique(l, n, a, g), [5, 4252, 4669, 23]): (ep(a, g);el(l, n))). lemma(4671, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(a, g), [ep(a, g)]):ep(g, a)). lemma(4672, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, ep(a, g)]):ep(f, g)). lemma(4673, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(f, g), [4672]):ep(g, f)). lemma(4674, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(b, a, g), [4256, ep(a, g)]):ep(b, g)). lemma(4675, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(b, g), [4674]):ep(g, b)). lemma(4676, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(h, b, g), [4565, 4674]):ep(h, g)). lemma(4677, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(h, g), [4676]):ep(g, h)). lemma(4678, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ptra(e, b, g), [4574, 4674]):ep(e, g)). lemma(4679, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(psym(e, g), [4678]):ep(g, e)). lemma(4680, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, a, q), [4671, 10]):pl(g, q)). lemma(4681, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(pcon(g, a, s), [4671, 12]):pl(g, s)). lemma(4682, [ep(a, g), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4681, 4572, 28]):goal). lemma(4683, [el(l, n), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(4684, [el(l, n), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(ltra(o, l, n), [4668, el(l, n)]):el(o, n)). lemma(4685, [el(l, n), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(lsym(o, n), [4684]):el(n, o)). lemma(4686, [el(l, n), el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal1, [4685]):goal). lemma(4687, [el(l, o), ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4670), [4682, 4686]):goal). lemma(4688, [ep(b, e), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4588), [4667, 4687]):goal). lemma(4689, [el(p, q), ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal2, [el(p, q)]):goal). lemma(4690, [ep(b, h), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4573), [4688, 4689]):goal). lemma(4691, [el(p, q), el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(goal2, [el(p, q)]):goal). lemma(4692, [el(m, p), ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4564), [4690, 4691]):goal). lemma(4693, [ep(a, b), ep(a, f), pl(f, l)], ap(or_elim(4264), [4560, 4692]):goal). lemma(4694, [el(l, n), ep(a, f), pl(f, l)], ap(lsym(l, n), [el(l, n)]):el(n, l)). lemma(4695, [el(l, n), ep(a, f), pl(f, l)], ap(lcon(c, l, n), [21, el(l, n)]):pl(c, n)). lemma(4696, [el(l, n), ep(a, f), pl(f, l)], ap(lcon(g, n, l), [23, 4694]):pl(g, l)). lemma(4697, [el(l, n), ep(a, f), pl(f, l)], ap(unique(o, l, c, g), [8, 21, 24, 4696]): (ep(c, g);el(o, l))). lemma(4698, [ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, g), [ep(c, g)]):ep(g, c)). lemma(4699, [ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(g, c, r), [4698, 11]):pl(g, r)). lemma(4700, [ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(q, m, a, e), [10, 4253, 18, 14]): (ep(a, e);el(q, m))). lemma(4701, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, e), [ep(a, e)]):ep(e, a)). lemma(4702, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, e), [4251, ep(a, e)]):ep(f, e)). lemma(4703, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, e), [4702]):ep(e, f)). lemma(4704, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(a, e, o), [ep(a, e), 16]):pl(a, o)). lemma(4705, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(f, a, o), [4251, 4704]):pl(f, o)). lemma(4706, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(e, a, l), [4701, 5]):pl(e, l)). lemma(4707, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(e, a, s), [4701, 12]):pl(e, s)). lemma(4708, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(e, a, n), [4701, 4252]):pl(e, n)). lemma(4709, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(l, o, a, c), [5, 4704, 21, 8]): (ep(a, c);el(l, o))). lemma(4710, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, c), [ep(a, c)]):ep(c, a)). lemma(4711, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, c), [4251, ep(a, c)]):ep(f, c)). lemma(4712, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, c), [4711]):ep(c, f)). lemma(4713, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, a), [4698, 4710]):ep(g, a)). lemma(4714, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, a), [4713]):ep(a, g)). lemma(4715, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, g), [4251, 4714]):ep(f, g)). lemma(4716, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, g), [4715]):ep(g, f)). lemma(4717, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(e, a, c), [4701, ep(a, c)]):ep(e, c)). lemma(4718, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(e, c), [4717]):ep(c, e)). lemma(4719, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, e), [4698, 4718]):ep(g, e)). lemma(4720, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, e), [4719]):ep(e, g)). lemma(4721, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(a, c, r), [ep(a, c), 11]):pl(a, r)). lemma(4722, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(f, a, r), [4251, 4721]):pl(f, r)). lemma(4723, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(e, a, r), [4701, 4721]):pl(e, r)). lemma(4724, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(c, a, q), [4710, 10]):pl(c, q)). lemma(4725, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(g, c, q), [4698, 4724]):pl(g, q)). lemma(4726, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(c, a, s), [4710, 12]):pl(c, s)). lemma(4727, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(g, c, s), [4698, 4726]):pl(g, s)). lemma(4728, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(c, a, m), [4710, 4253]):pl(c, m)). lemma(4729, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(g, c, m), [4698, 4728]):pl(g, m)). lemma(4730, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(m, r, d, e), [6, 19, 14, 4723]): (ep(d, e);el(m, r))). lemma(4731, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4732, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(a, e, d), [ep(a, e), 4731]):ep(a, d)). lemma(4733, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, d), [4732]):ep(d, a)). lemma(4734, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, d), [4251, 4732]):ep(f, d)). lemma(4735, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, d), [4734]):ep(d, f)). lemma(4736, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(c, a, d), [4710, 4732]):ep(c, d)). lemma(4737, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, d), [4736]):ep(d, c)). lemma(4738, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, d), [4698, 4736]):ep(g, d)). lemma(4739, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, d), [4738]):ep(d, g)). lemma(4740, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(d, e, o), [ep(d, e), 16]):pl(d, o)). lemma(4741, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(4742, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(d, e, l), [ep(d, e), 4706]):pl(d, l)). lemma(4743, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(d, e, s), [ep(d, e), 4707]):pl(d, s)). lemma(4744, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(d, e, n), [ep(d, e), 4708]):pl(d, n)). lemma(4745, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(e, d, p), [4731, 17]):pl(e, p)). lemma(4746, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(a, e, p), [ep(a, e), 4745]):pl(a, p)). lemma(4747, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(f, a, p), [4251, 4746]):pl(f, p)). lemma(4748, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(c, a, p), [4710, 4746]):pl(c, p)). lemma(4749, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(g, c, p), [4698, 4748]):pl(g, p)). lemma(4750, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(l, p, a, b), [5, 4746, 13, 9]): (ep(a, b);el(l, p))). lemma(4751, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(4752, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, b), [4251, ep(a, b)]):ep(f, b)). lemma(4753, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, b), [4752]):ep(b, f)). lemma(4754, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(e, a, b), [4701, ep(a, b)]):ep(e, b)). lemma(4755, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(e, b), [4754]):ep(b, e)). lemma(4756, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(c, a, b), [4710, ep(a, b)]):ep(c, b)). lemma(4757, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, b), [4756]):ep(b, c)). lemma(4758, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, b), [4698, 4756]):ep(g, b)). lemma(4759, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, b), [4758]):ep(b, g)). lemma(4760, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(d, e, b), [ep(d, e), 4754]):ep(d, b)). lemma(4761, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(d, b), [4760]):ep(b, d)). lemma(4762, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(b, a, q), [4751, 10]):pl(b, q)). lemma(4763, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(b, a, s), [4751, 12]):pl(b, s)). lemma(4764, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(b, a, m), [4751, 4253]):pl(b, m)). lemma(4765, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(b, a, o), [4751, 4704]):pl(b, o)). lemma(4766, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(b, a, r), [4751, 4721]):pl(b, r)). lemma(4767, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(p, q, b, h), [9, 4762, 25, 26]): (ep(b, h);el(p, q))). lemma(4768, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(b, h), [ep(b, h)]):ep(h, b)). lemma(4769, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(a, b, h), [ep(a, b), ep(b, h)]):ep(a, h)). lemma(4770, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, h), [4769]):ep(h, a)). lemma(4771, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, h), [4251, 4769]):ep(f, h)). lemma(4772, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, h), [4771]):ep(h, f)). lemma(4773, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(e, a, h), [4701, 4769]):ep(e, h)). lemma(4774, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(e, h), [4773]):ep(h, e)). lemma(4775, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(c, a, h), [4710, 4769]):ep(c, h)). lemma(4776, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, h), [4775]):ep(h, c)). lemma(4777, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, h), [4698, 4775]):ep(g, h)). lemma(4778, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, h), [4777]):ep(h, g)). lemma(4779, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(d, e, h), [ep(d, e), 4773]):ep(d, h)). lemma(4780, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(d, h), [4779]):ep(h, d)). lemma(4781, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(h, b, n), [4768, 7]):pl(h, n)). lemma(4782, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(h, b, l), [4768, 13]):pl(h, l)). lemma(4783, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(h, b, s), [4768, 4763]):pl(h, s)). lemma(4784, [ep(b, h), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4727, 4783, 28]):goal). lemma(4785, [el(p, q), ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal2, [el(p, q)]):goal). lemma(4786, [ep(a, b), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4767), [4784, 4785]):goal). lemma(4787, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(l, p), [el(l, p)]):el(p, l)). lemma(4788, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ltra(n, l, p), [4694, el(l, p)]):el(n, p)). lemma(4789, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(n, p), [4788]):el(p, n)). lemma(4790, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lcon(h, p, l), [25, 4787]):pl(h, l)). lemma(4791, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lcon(h, p, n), [25, 4789]):pl(h, n)). lemma(4792, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(l, q, a, h), [5, 10, 4790, 26]): (ep(a, h);el(l, q))). lemma(4793, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, h), [ep(a, h)]):ep(h, a)). lemma(4794, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, h), [4251, ep(a, h)]):ep(f, h)). lemma(4795, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, h), [4794]):ep(h, f)). lemma(4796, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(e, a, h), [4701, ep(a, h)]):ep(e, h)). lemma(4797, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(e, h), [4796]):ep(h, e)). lemma(4798, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(c, a, h), [4710, ep(a, h)]):ep(c, h)). lemma(4799, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, h), [4798]):ep(h, c)). lemma(4800, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, h), [4698, 4798]):ep(g, h)). lemma(4801, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, h), [4800]):ep(h, g)). lemma(4802, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(d, e, h), [ep(d, e), 4796]):ep(d, h)). lemma(4803, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(d, h), [4802]):ep(h, d)). lemma(4804, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(h, a, s), [4793, 12]):pl(h, s)). lemma(4805, [ep(a, h), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal4(s), [45, 4727, 4804, 28]):goal). lemma(4806, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(4807, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ltra(n, l, q), [4694, el(l, q)]):el(n, q)). lemma(4808, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(n, q), [4807]):el(q, n)). lemma(4809, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ltra(p, l, q), [4787, el(l, q)]):el(p, q)). lemma(4810, [el(l, q), el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal2, [4809]):goal). lemma(4811, [el(l, p), ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4792), [4805, 4810]):goal). lemma(4812, [ep(d, e), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4750), [4786, 4811]):goal). lemma(4813, [el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(m, r), [el(m, r)]):el(r, m)). lemma(4814, [el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lcon(i, r, m), [27, 4813]):pl(i, m)). lemma(4815, [el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(r, s, c, i), [11, 4726, 27, 28]): (ep(c, i);el(r, s))). lemma(4816, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(4817, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(g, c, i), [4698, ep(c, i)]):ep(g, i)). lemma(4818, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(g, i), [4817]):ep(i, g)). lemma(4819, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(a, c, i), [ep(a, c), ep(c, i)]):ep(a, i)). lemma(4820, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(a, i), [4819]):ep(i, a)). lemma(4821, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(f, a, i), [4251, 4819]):ep(f, i)). lemma(4822, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(f, i), [4821]):ep(i, f)). lemma(4823, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ptra(e, a, i), [4701, 4819]):ep(e, i)). lemma(4824, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(e, i), [4823]):ep(i, e)). lemma(4825, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(i, c, o), [4816, 8]):pl(i, o)). lemma(4826, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(i, c, l), [4816, 21]):pl(i, l)). lemma(4827, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(i, c, n), [4816, 4695]):pl(i, n)). lemma(4828, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(i, c, q), [4816, 4724]):pl(i, q)). lemma(4829, [ep(c, i), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal4(q), [43, 4725, 26, 4828]):goal). lemma(4830, [el(r, s), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(r, s), [el(r, s)]):el(s, r)). lemma(4831, [el(r, s), el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal3, [4830]):goal). lemma(4832, [el(m, r), ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4815), [4829, 4831]):goal). lemma(4833, [ep(a, c), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4730), [4812, 4832]):goal). lemma(4834, [el(l, o), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(l, o), [el(l, o)]):el(o, l)). lemma(4835, [el(l, o), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ltra(n, l, o), [4694, el(l, o)]):el(n, o)). lemma(4836, [el(l, o), ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal1, [4835]):goal). lemma(4837, [ep(a, e), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4709), [4833, 4836]):goal). lemma(4838, [el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(q, m), [el(q, m)]):el(m, q)). lemma(4839, [el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lcon(d, m, q), [6, 4838]):pl(d, q)). lemma(4840, [el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lcon(h, q, m), [26, el(q, m)]):pl(h, m)). lemma(4841, [el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(unique(m, p, d, h), [6, 17, 4840, 25]): (ep(d, h);el(m, p))). lemma(4842, [ep(d, h), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(psym(d, h), [ep(d, h)]):ep(h, d)). lemma(4843, [ep(d, h), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(pcon(h, d, r), [4842, 19]):pl(h, r)). lemma(4844, [ep(d, h), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal4(r), [44, 4699, 4843, 27]):goal). lemma(4845, [el(m, p), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(4846, [el(m, p), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(ltra(q, m, p), [el(q, m), el(m, p)]):el(q, p)). lemma(4847, [el(m, p), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(lsym(q, p), [4846]):el(p, q)). lemma(4848, [el(m, p), el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(goal2, [4847]):goal). lemma(4849, [el(q, m), ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4841), [4844, 4848]):goal). lemma(4850, [ep(c, g), el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4700), [4837, 4849]):goal). lemma(4851, [el(o, l), el(l, n), ep(a, f), pl(f, l)], ap(lsym(o, l), [el(o, l)]):el(l, o)). lemma(4852, [el(o, l), el(l, n), ep(a, f), pl(f, l)], ap(ltra(n, l, o), [4694, 4851]):el(n, o)). lemma(4853, [el(o, l), el(l, n), ep(a, f), pl(f, l)], ap(goal1, [4852]):goal). lemma(4854, [el(l, n), ep(a, f), pl(f, l)], ap(or_elim(4697), [4850, 4853]):goal). lemma(4855, [ep(a, f), pl(f, l)], ap(or_elim(4255), [4693, 4854]):goal). lemma(4856, [el(l, s), pl(f, l)], ap(lsym(l, s), [el(l, s)]):el(s, l)). lemma(4857, [el(l, s), pl(f, l)], ap(lcon(b, l, s), [13, el(l, s)]):pl(b, s)). lemma(4858, [el(l, s), pl(f, l)], ap(lcon(c, l, s), [21, el(l, s)]):pl(c, s)). lemma(4859, [el(l, s), pl(f, l)], ap(lcon(i, s, l), [28, 4856]):pl(i, l)). lemma(4860, [el(l, s), pl(f, l)], ap(unique(n, l, b, f), [7, 13, 15, pl(f, l)]): (ep(b, f);el(n, l))). lemma(4861, [ep(b, f), el(l, s), pl(f, l)], ap(psym(b, f), [ep(b, f)]):ep(f, b)). lemma(4862, [ep(b, f), el(l, s), pl(f, l)], ap(pcon(b, f, m), [ep(b, f), 22]):pl(b, m)). lemma(4863, [ep(b, f), el(l, s), pl(f, l)], ap(pcon(f, b, p), [4861, 9]):pl(f, p)). lemma(4864, [ep(b, f), el(l, s), pl(f, l)], ap(unique(m, p, d, f), [6, 17, 22, 4863]): (ep(d, f);el(m, p))). lemma(4865, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, f), [ep(d, f)]):ep(f, d)). lemma(4866, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, f, d), [ep(b, f), 4865]):ep(b, d)). lemma(4867, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, d), [4866]):ep(d, b)). lemma(4868, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(d, f, n), [ep(d, f), 15]):pl(d, n)). lemma(4869, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(d, f, s), [ep(d, f), 20]):pl(d, s)). lemma(4870, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(d, f, l), [ep(d, f), pl(f, l)]):pl(d, l)). lemma(4871, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(f, d, r), [4865, 19]):pl(f, r)). lemma(4872, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(b, f, r), [ep(b, f), 4871]):pl(b, r)). lemma(4873, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(r, l, c, d), [11, 21, 19, 4870]): (ep(c, d);el(r, l))). lemma(4874, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, d), [ep(c, d)]):ep(d, c)). lemma(4875, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, d, c), [4865, 4874]):ep(f, c)). lemma(4876, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, c), [4875]):ep(c, f)). lemma(4877, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, f, c), [ep(b, f), 4875]):ep(b, c)). lemma(4878, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, c), [4877]):ep(c, b)). lemma(4879, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(c, d, m), [ep(c, d), 6]):pl(c, m)). lemma(4880, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(c, d, p), [ep(c, d), 17]):pl(c, p)). lemma(4881, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(c, d, n), [ep(c, d), 4868]):pl(c, n)). lemma(4882, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(d, c, o), [4874, 8]):pl(d, o)). lemma(4883, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(f, d, o), [4865, 4882]):pl(f, o)). lemma(4884, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(b, f, o), [ep(b, f), 4883]):pl(b, o)). lemma(4885, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(m, o, d, e), [6, 4882, 14, 16]): (ep(d, e);el(m, o))). lemma(4886, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, e), [ep(d, e)]):ep(e, d)). lemma(4887, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, d, e), [4865, ep(d, e)]):ep(f, e)). lemma(4888, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, e), [4887]):ep(e, f)). lemma(4889, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, f, e), [ep(b, f), 4887]):ep(b, e)). lemma(4890, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, e), [4889]):ep(e, b)). lemma(4891, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, e), [ep(c, d), ep(d, e)]):ep(c, e)). lemma(4892, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, e), [4891]):ep(e, c)). lemma(4893, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(d, e, q), [ep(d, e), 18]):pl(d, q)). lemma(4894, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(f, d, q), [4865, 4893]):pl(f, q)). lemma(4895, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(b, f, q), [ep(b, f), 4894]):pl(b, q)). lemma(4896, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(c, d, q), [ep(c, d), 4893]):pl(c, q)). lemma(4897, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(e, d, p), [4886, 17]):pl(e, p)). lemma(4898, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(e, d, r), [4886, 19]):pl(e, r)). lemma(4899, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(e, d, n), [4886, 4868]):pl(e, n)). lemma(4900, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(e, d, s), [4886, 4869]):pl(e, s)). lemma(4901, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(e, d, l), [4886, 4870]):pl(e, l)). lemma(4902, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(l, q, a, b), [5, 10, 13, 4895]): (ep(a, b);el(l, q))). lemma(4903, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(a, b), [ep(a, b)]):ep(b, a)). lemma(4904, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, b, a), [4861, 4903]):ep(f, a)). lemma(4905, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, a), [4904]):ep(a, f)). lemma(4906, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(d, f, a), [ep(d, f), 4904]):ep(d, a)). lemma(4907, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, a), [4906]):ep(a, d)). lemma(4908, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, a), [ep(c, d), 4906]):ep(c, a)). lemma(4909, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, a), [4908]):ep(a, c)). lemma(4910, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(e, d, a), [4886, 4906]):ep(e, a)). lemma(4911, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(e, a), [4910]):ep(a, e)). lemma(4912, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(a, b, n), [ep(a, b), 7]):pl(a, n)). lemma(4913, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(a, b, p), [ep(a, b), 9]):pl(a, p)). lemma(4914, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(a, b, m), [ep(a, b), 4862]):pl(a, m)). lemma(4915, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(a, b, r), [ep(a, b), 4872]):pl(a, r)). lemma(4916, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(a, b, o), [ep(a, b), 4884]):pl(a, o)). lemma(4917, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(l, r, a, i), [5, 4915, 4859, 27]): (ep(a, i);el(l, r))). lemma(4918, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(a, i), [ep(a, i)]):ep(i, a)). lemma(4919, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, a, i), [4903, ep(a, i)]):ep(b, i)). lemma(4920, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, i), [4919]):ep(i, b)). lemma(4921, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, b, i), [4861, 4919]):ep(f, i)). lemma(4922, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, i), [4921]):ep(i, f)). lemma(4923, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(d, f, i), [ep(d, f), 4921]):ep(d, i)). lemma(4924, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, i), [4923]):ep(i, d)). lemma(4925, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, i), [ep(c, d), 4923]):ep(c, i)). lemma(4926, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, i), [4925]):ep(i, c)). lemma(4927, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(e, d, i), [4886, 4923]):ep(e, i)). lemma(4928, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(e, i), [4927]):ep(i, e)). lemma(4929, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, a, q), [4918, 10]):pl(i, q)). lemma(4930, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, a, n), [4918, 4912]):pl(i, n)). lemma(4931, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, a, p), [4918, 4913]):pl(i, p)). lemma(4932, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, a, m), [4918, 4914]):pl(i, m)). lemma(4933, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, a, o), [4918, 4916]):pl(i, o)). lemma(4934, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(n, o, b, g), [7, 4884, 23, 24]): (ep(b, g);el(n, o))). lemma(4935, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4936, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, b, g), [4861, ep(b, g)]):ep(f, g)). lemma(4937, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, g), [4936]):ep(g, f)). lemma(4938, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4936]):ep(d, g)). lemma(4939, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, g), [4938]):ep(g, d)). lemma(4940, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, g), [ep(c, d), 4938]):ep(c, g)). lemma(4941, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, g), [4940]):ep(g, c)). lemma(4942, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(e, d, g), [4886, 4938]):ep(e, g)). lemma(4943, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(e, g), [4942]):ep(g, e)). lemma(4944, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(a, b, g), [ep(a, b), ep(b, g)]):ep(a, g)). lemma(4945, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(a, g), [4944]):ep(g, a)). lemma(4946, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(i, a, g), [4918, 4944]):ep(i, g)). lemma(4947, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(i, g), [4946]):ep(g, i)). lemma(4948, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, b, p), [4935, 9]):pl(g, p)). lemma(4949, [ep(b, g), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal4(p), [42, 4948, 25, 4931]):goal). lemma(4950, [el(n, o), ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4951, [ep(a, i), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4934), [4949, 4950]):goal). lemma(4952, [el(l, r), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(l, r), [el(l, r)]):el(r, l)). lemma(4953, [el(l, r), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ltra(s, l, r), [4856, el(l, r)]):el(s, r)). lemma(4954, [el(l, r), ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal3, [4953]):goal). lemma(4955, [ep(a, b), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4917), [4951, 4954]):goal). lemma(4956, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(l, q), [el(l, q)]):el(q, l)). lemma(4957, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ltra(s, l, q), [4856, el(l, q)]):el(s, q)). lemma(4958, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(s, q), [4957]):el(q, s)). lemma(4959, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lcon(h, q, l), [26, 4956]):pl(h, l)). lemma(4960, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lcon(h, q, s), [26, 4958]):pl(h, s)). lemma(4961, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lcon(i, s, q), [28, 4957]):pl(i, q)). lemma(4962, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(n, o, b, g), [7, 4884, 23, 24]): (ep(b, g);el(n, o))). lemma(4963, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, g), [ep(b, g)]):ep(g, b)). lemma(4964, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, b, g), [4861, ep(b, g)]):ep(f, g)). lemma(4965, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, g), [4964]):ep(g, f)). lemma(4966, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(d, f, g), [ep(d, f), 4964]):ep(d, g)). lemma(4967, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, g), [4966]):ep(g, d)). lemma(4968, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, g), [ep(c, d), 4966]):ep(c, g)). lemma(4969, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, g), [4968]):ep(g, c)). lemma(4970, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(e, d, g), [4886, 4966]):ep(e, g)). lemma(4971, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(e, g), [4970]):ep(g, e)). lemma(4972, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, b, p), [4963, 9]):pl(g, p)). lemma(4973, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, b, l), [4963, 13]):pl(g, l)). lemma(4974, [ep(b, g), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal4(l), [38, 4973, 4959, 4859]):goal). lemma(4975, [el(n, o), el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal1, [el(n, o)]):goal). lemma(4976, [el(l, q), ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4962), [4974, 4975]):goal). lemma(4977, [ep(d, e), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4902), [4955, 4976]):goal). lemma(4978, [el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(m, o), [el(m, o)]):el(o, m)). lemma(4979, [el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lcon(g, o, m), [24, 4978]):pl(g, m)). lemma(4980, [el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(m, n, d, g), [6, 4868, 4979, 23]): (ep(d, g);el(m, n))). lemma(4981, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, g), [ep(d, g)]):ep(g, d)). lemma(4982, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, d, g), [4865, ep(d, g)]):ep(f, g)). lemma(4983, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, g), [4982]):ep(g, f)). lemma(4984, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, f, g), [ep(b, f), 4982]):ep(b, g)). lemma(4985, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, g), [4984]):ep(g, b)). lemma(4986, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(c, d, g), [ep(c, d), ep(d, g)]):ep(c, g)). lemma(4987, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, g), [4986]):ep(g, c)). lemma(4988, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, d, p), [4981, 17]):pl(g, p)). lemma(4989, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, d, r), [4981, 19]):pl(g, r)). lemma(4990, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, d, s), [4981, 4869]):pl(g, s)). lemma(4991, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(g, d, l), [4981, 4870]):pl(g, l)). lemma(4992, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(unique(r, l, c, i), [11, 21, 27, 4859]): (ep(c, i);el(r, l))). lemma(4993, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(4994, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(d, c, i), [4874, ep(c, i)]):ep(d, i)). lemma(4995, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(d, i), [4994]):ep(i, d)). lemma(4996, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(f, d, i), [4865, 4994]):ep(f, i)). lemma(4997, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(f, i), [4996]):ep(i, f)). lemma(4998, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(b, f, i), [ep(b, f), 4996]):ep(b, i)). lemma(4999, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(b, i), [4998]):ep(i, b)). lemma(5000, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ptra(g, d, i), [4981, 4994]):ep(g, i)). lemma(5001, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(psym(g, i), [5000]):ep(i, g)). lemma(5002, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, c, o), [4993, 8]):pl(i, o)). lemma(5003, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, c, m), [4993, 4879]):pl(i, m)). lemma(5004, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, c, p), [4993, 4880]):pl(i, p)). lemma(5005, [ep(c, i), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal4(p), [42, 4988, 25, 5004]):goal). lemma(5006, [el(r, l), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(5007, [el(r, l), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ltra(s, l, r), [4856, 5006]):el(s, r)). lemma(5008, [el(r, l), ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal3, [5007]):goal). lemma(5009, [ep(d, g), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4992), [5005, 5008]):goal). lemma(5010, [el(m, n), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(m, n), [el(m, n)]):el(n, m)). lemma(5011, [el(m, n), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ltra(o, m, n), [4978, el(m, n)]):el(o, n)). lemma(5012, [el(m, n), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(o, n), [5011]):el(n, o)). lemma(5013, [el(m, n), el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal1, [5012]):goal). lemma(5014, [el(m, o), ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4980), [5009, 5013]):goal). lemma(5015, [ep(c, d), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4885), [4977, 5014]):goal). lemma(5016, [el(r, l), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(5017, [el(r, l), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(ltra(s, l, r), [4856, 5016]):el(s, r)). lemma(5018, [el(r, l), ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(goal3, [5017]):goal). lemma(5019, [ep(d, f), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4873), [5015, 5018]):goal). lemma(5020, [el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(lsym(m, p), [el(m, p)]):el(p, m)). lemma(5021, [el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(lcon(e, m, p), [14, el(m, p)]):pl(e, p)). lemma(5022, [el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(lcon(h, p, m), [25, 5020]):pl(h, m)). lemma(5023, [el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(unique(r, l, c, i), [11, 21, 27, 4859]): (ep(c, i);el(r, l))). lemma(5024, [ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(5025, [ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(pcon(i, c, o), [5024, 8]):pl(i, o)). lemma(5026, [ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(unique(m, q, e, h), [14, 18, 5022, 26]): (ep(e, h);el(m, q))). lemma(5027, [ep(e, h), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(psym(e, h), [ep(e, h)]):ep(h, e)). lemma(5028, [ep(e, h), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(pcon(h, e, o), [5027, 16]):pl(h, o)). lemma(5029, [ep(e, h), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(goal4(o), [41, 24, 5028, 5025]):goal). lemma(5030, [el(m, q), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(lsym(m, q), [el(m, q)]):el(q, m)). lemma(5031, [el(m, q), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(ltra(p, m, q), [5020, el(m, q)]):el(p, q)). lemma(5032, [el(m, q), ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(goal2, [5031]):goal). lemma(5033, [ep(c, i), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(5026), [5029, 5032]):goal). lemma(5034, [el(r, l), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(5035, [el(r, l), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(ltra(s, l, r), [4856, 5034]):el(s, r)). lemma(5036, [el(r, l), el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(goal3, [5035]):goal). lemma(5037, [el(m, p), ep(b, f), el(l, s), pl(f, l)], ap(or_elim(5023), [5033, 5036]):goal). lemma(5038, [ep(b, f), el(l, s), pl(f, l)], ap(or_elim(4864), [5019, 5037]):goal). lemma(5039, [el(n, l), el(l, s), pl(f, l)], ap(lsym(n, l), [el(n, l)]):el(l, n)). lemma(5040, [el(n, l), el(l, s), pl(f, l)], ap(ltra(s, l, n), [4856, 5039]):el(s, n)). lemma(5041, [el(n, l), el(l, s), pl(f, l)], ap(lsym(s, n), [5040]):el(n, s)). lemma(5042, [el(n, l), el(l, s), pl(f, l)], ap(lcon(a, l, n), [5, 5039]):pl(a, n)). lemma(5043, [el(n, l), el(l, s), pl(f, l)], ap(lcon(c, l, n), [21, 5039]):pl(c, n)). lemma(5044, [el(n, l), el(l, s), pl(f, l)], ap(lcon(g, n, l), [23, el(n, l)]):pl(g, l)). lemma(5045, [el(n, l), el(l, s), pl(f, l)], ap(lcon(g, n, s), [23, 5041]):pl(g, s)). lemma(5046, [el(n, l), el(l, s), pl(f, l)], ap(lcon(i, s, n), [28, 5040]):pl(i, n)). lemma(5047, [el(n, l), el(l, s), pl(f, l)], ap(unique(o, l, c, g), [8, 21, 24, 5044]): (ep(c, g);el(o, l))). lemma(5048, [ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(psym(c, g), [ep(c, g)]):ep(g, c)). lemma(5049, [ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(pcon(g, c, r), [5048, 11]):pl(g, r)). lemma(5050, [ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(unique(r, l, c, i), [11, 21, 27, 4859]): (ep(c, i);el(r, l))). lemma(5051, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(psym(c, i), [ep(c, i)]):ep(i, c)). lemma(5052, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(ptra(g, c, i), [5048, ep(c, i)]):ep(g, i)). lemma(5053, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(psym(g, i), [5052]):ep(i, g)). lemma(5054, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(pcon(i, c, o), [5051, 8]):pl(i, o)). lemma(5055, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(line(a, d), [29, 30]): (dom(A), pl(a, A), pl(d, A))). lemma(5056, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(lref(a, par(0)), [pl(a, par(0))]):el(par(0), par(0))). lemma(5057, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(line(b, e), [31, 33]): (dom(A), pl(b, A), pl(e, A))). lemma(5058, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(lref(b, par(1)), [pl(b, par(1))]):el(par(1), par(1))). lemma(5059, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(line(c, h), [32, 36]): (dom(A), pl(c, A), pl(h, A))). lemma(5060, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(lref(c, par(2)), [pl(c, par(2))]):el(par(2), par(2))). lemma(5061, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(pcon(g, c, par(2)), [5048, pl(c, par(2))]):pl(g, par(2))). lemma(5062, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(pcon(i, c, par(2)), [5051, pl(c, par(2))]):pl(i, par(2))). lemma(5063, [ (dom(par(2)), pl(c, par(2)), pl(h, par(2))), (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(goal4(par(2)), [5060, 5061, pl(h, par(2)), 5062]):goal). lemma(5064, [ (dom(par(1)), pl(b, par(1)), pl(e, par(1))), (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(ex_elim(5059), 5063):goal). lemma(5065, [ (dom(par(0)), pl(a, par(0)), pl(d, par(0))), ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(ex_elim(5057), 5064):goal). lemma(5066, [ep(c, i), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(ex_elim(5055), 5065):goal). lemma(5067, [el(r, l), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(lsym(r, l), [el(r, l)]):el(l, r)). lemma(5068, [el(r, l), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(ltra(s, l, r), [4856, 5067]):el(s, r)). lemma(5069, [el(r, l), ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(goal3, [5068]):goal). lemma(5070, [ep(c, g), el(n, l), el(l, s), pl(f, l)], ap(or_elim(5050), [5066, 5069]):goal). lemma(5071, [el(o, l), el(n, l), el(l, s), pl(f, l)], ap(lsym(o, l), [el(o, l)]):el(l, o)). lemma(5072, [el(o, l), el(n, l), el(l, s), pl(f, l)], ap(ltra(s, l, o), [4856, 5071]):el(s, o)). lemma(5073, [el(o, l), el(n, l), el(l, s), pl(f, l)], ap(lsym(s, o), [5072]):el(o, s)). lemma(5074, [el(o, l), el(n, l), el(l, s), pl(f, l)], ap(ltra(n, l, o), [el(n, l), 5071]):el(n, o)). lemma(5075, [el(o, l), el(n, l), el(l, s), pl(f, l)], ap(goal1, [5074]):goal). lemma(5076, [el(n, l), el(l, s), pl(f, l)], ap(or_elim(5047), [5070, 5075]):goal). lemma(5077, [el(l, s), pl(f, l)], ap(or_elim(4860), [5038, 5076]):goal). lemma(5078, [pl(f, l)], ap(or_elim(4250), [4855, 5077]):goal). lemma(5079, [], ap(or_elim(46), [51, 852, 1710, 2572, 3419, 4249, 5078]):goal). 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524, 525, 539, 540, 544, 561, 562, 578, 579, 580, 581, 582, 585, 587, 588, 599, 600, 604, 605, 606, 607, 608, 611, 612, 624, 625, 626, 627, 628, 630, 631, 632, 633, 636, 637, 638, 639, 640, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 654, 655, 656, 657, 658, 659, 660, 661, 663, 664, 667, 668, 670, 672, 673, 684, 685, 686, 687, 690, 691, 693, 703, 704, 705, 706, 713, 730, 731, 747, 748, 749, 750, 751, 754, 756, 757, 769, 770, 774, 775, 776, 777, 778, 779, 780, 781, 782, 793, 794, 796, 797, 798, 799, 800, 802, 803, 804, 805, 806, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 825, 826, 827, 831, 833, 834, 835, 836, 837, 838, 839, 841, 843, 844, 845, 846, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 862, 863, 867, 868, 873, 874, 876, 877, 878, 880, 888, 889, 890, 897, 912, 913, 927, 930, 931, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 965, 970, 987, 988, 1004, 1005, 1006, 1007, 1008, 1011, 1013, 1014, 1026, 1027, 1031, 1032, 1033, 1034, 1035, 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