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lemma(1, [], ap(gap_t1in2, []): (i(a1, b2c2), i(b1, a2c2), i(c1, a2b2))). lemma(2, [], ap(ia1b1, []):i(a1, a1b1)). lemma(3, [], ap(ib1a1, []):i(b1, a1b1)). lemma(4, [], ap(ia2b2, []):i(a2, a2b2)). lemma(5, [], ap(ib2a2, []):i(b2, a2b2)). lemma(6, [], ap(ia1c1, []):i(a1, a1c1)). lemma(7, [], ap(ic1a1, []):i(c1, a1c1)). lemma(8, [], ap(ia2c2, []):i(a2, a2c2)). lemma(9, [], ap(ic2a2, []):i(c2, a2c2)). lemma(10, [], ap(ic1b1, []):i(c1, b1c1)). lemma(11, [], ap(ib1c1, []):i(b1, b1c1)). lemma(12, [], ap(ic2b2, []):i(c2, b2c2)). lemma(13, [], ap(ib2c2, []):i(b2, b2c2)). lemma(14, [], ap(iooa, []):i(o, oa)). lemma(15, [], ap(ioob, []):i(o, ob)). lemma(16, [], ap(iooc, []):i(o, oc)). lemma(17, [], ap(ia1oa, []):i(a1, oa)). lemma(18, [], ap(ia2oa, []):i(a2, oa)). lemma(19, [], ap(ib1ob, []):i(b1, ob)). lemma(20, [], ap(ib2ob, []):i(b2, ob)). lemma(21, [], ap(ic1oc, []):i(c1, oc)). lemma(22, [], ap(ic2oc, []):i(c2, oc)). lemma(23, [], ap(ibc1, []):i(bc, b1c1)). lemma(24, [], ap(ibc2, []):i(bc, b2c2)). lemma(25, [], ap(iac1, []):i(ac, a1c1)). lemma(26, [], ap(iac2, []):i(ac, a2c2)). lemma(27, [], ap(iab1, []):i(ab, a1b1)). lemma(28, [], ap(iab2, []):i(ab, a2b2)). lemma(29, [], ap(pref(a1, b2c2), [1:1]):p(a1, a1)). lemma(30, [], ap(pref(b1, a2c2), [1:2:1]):p(b1, b1)). lemma(31, [], ap(pref(c1, a2b2), [2:2:1]):p(c1, c1)). lemma(32, [], ap(pref(a2, a2b2), [4]):p(a2, a2)). lemma(33, [], ap(pref(b2, a2b2), [5]):p(b2, b2)). lemma(34, [], ap(pref(c2, a2c2), [9]):p(c2, c2)). lemma(35, [], ap(pref(o, oa), [14]):p(o, o)). lemma(36, [], ap(pref(bc, b1c1), [23]):p(bc, bc)). lemma(37, [], ap(pref(ac, a1c1), [25]):p(ac, ac)). lemma(38, [], ap(pref(ab, a1b1), [27]):p(ab, ab)). lemma(39, [], ap(lref(a1, b2c2), [1:1]):l(b2c2, b2c2)). lemma(40, [], ap(lref(b1, a2c2), [1:2:1]):l(a2c2, a2c2)). lemma(41, [], ap(lref(c1, a2b2), [2:2:1]):l(a2b2, a2b2)). lemma(42, [], ap(lref(a1, a1b1), [2]):l(a1b1, a1b1)). lemma(43, [], ap(lref(a1, a1c1), [6]):l(a1c1, a1c1)). lemma(44, [], ap(lref(c1, b1c1), [10]):l(b1c1, b1c1)). lemma(45, [], ap(lref(o, oa), [14]):l(oa, oa)). lemma(46, [], ap(lref(o, ob), [15]):l(ob, ob)). lemma(47, [], ap(lref(o, oc), [16]):l(oc, oc)). lemma(48, [], ap(line(ac, b2), [37, 33]): (dom(A), i(ac, A), i(b2, A))). lemma(49, [ (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lref(ac, par(0)), [i(ac, par(0))]):l(par(0), par(0))). lemma(50, [ (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(point(par(0), oa), [49, 45]): (dom(A), i(A, par(0)), i(A, oa))). lemma(51, [ (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pref(par(1), par(0)), [i(par(1), par(0))]):p(par(1), par(1))). lemma(52, [ (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(point(par(0), oc), [49, 47]): (dom(A), i(A, par(0)), i(A, oc))). lemma(53, [ (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pref(par(2), par(0)), [i(par(2), par(0))]):p(par(2), par(2))). lemma(54, [ (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(papp(a1, c1, ac, b2, b1, o, c2, ab, par(1), a1c1, ob, oc, a2c2, a2b2, a1b1, par(0), oa), [6, 7, 25, 20, 19, 15, 21, 16, 22, 26, 1:2:1, 9, 2:2:1, 5, 28, 2, 3, 27, i(ac, par(0)), i(b2, par(0)), i(par(1), par(0)), 17, 14, i(par(1), oa)]): (l(oc, a2c2);l(a2b2, a1b1);l(par(0), oa);dom(A), l(A, A), i(c2, A), i(ab, A), i(par(1), A))). lemma(55, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, a2c2), [l(oc, a2c2)]):l(a2c2, oc)). lemma(56, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b1, a2c2, oc), [1:2:1, 55]):i(b1, oc)). lemma(57, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, oc), [8, 55]):i(a2, oc)). lemma(58, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, a2c2), [16, l(oc, a2c2)]):i(o, a2c2)). lemma(59, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, oc, a2c2), [21, l(oc, a2c2)]):i(c1, a2c2)). lemma(60, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a2c2, oc), [26, 55]):i(ac, oc)). lemma(61, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), oc, a2c2), [i(par(2), oc), l(oc, a2c2)]):i(par(2), a2c2)). lemma(62, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, c1, a2c2, b1c1), [1:2:1, 11, 59, 10]): (p(b1, c1);l(a2c2, b1c1))). lemma(63, [p(b1, c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, c1), [p(b1, c1)]):p(c1, b1)). lemma(64, [p(b1, c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, c1, a2b2), [p(b1, c1), 2:2:1]):i(b1, a2b2)). lemma(65, [p(b1, c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, c1, a1c1), [p(b1, c1), 7]):i(b1, a1c1)). lemma(66, [p(b1, c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(a1c1), [6, 65, 7]):false). lemma(67, [p(b1, c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [66]):goal). lemma(68, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, b1c1), [l(a2c2, b1c1)]):l(b1c1, a2c2)). lemma(69, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, a2c2, b1c1), [l(oc, a2c2), l(a2c2, b1c1)]):l(oc, b1c1)). lemma(70, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, b1c1), [69]):l(b1c1, oc)). lemma(71, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, b1c1), [8, l(a2c2, b1c1)]):i(a2, b1c1)). lemma(72, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, a2c2, b1c1), [9, l(a2c2, b1c1)]):i(c2, b1c1)). lemma(73, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, b1c1), [16, 69]):i(o, b1c1)). lemma(74, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b1c1, a2c2), [23, 68]):i(bc, a2c2)). lemma(75, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b1c1, oc), [23, 70]):i(bc, oc)). lemma(76, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a2c2, b1c1), [26, l(a2c2, b1c1)]):i(ac, b1c1)). lemma(77, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), oc, b1c1), [i(par(2), oc), 69]):i(par(2), b1c1)). lemma(78, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, o, a2c2, ob), [1:2:1, 19, 58, 15]): (p(b1, o);l(a2c2, ob))). lemma(79, [p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, o), [p(b1, o)]):p(o, b1)). lemma(80, [p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, o, oa), [p(b1, o), 14]):i(b1, oa)). lemma(81, [p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, b1, a1b1), [79, 3]):i(o, a1b1)). lemma(82, [p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, a2, a2c2, oa), [1:2:1, 80, 8, 18]): (p(b1, a2);l(a2c2, oa))). lemma(83, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, a2), [p(b1, a2)]):p(a2, b1)). lemma(84, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(o, b1, a2), [79, p(b1, a2)]):p(o, a2)). lemma(85, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(o, a2), [84]):p(a2, o)). lemma(86, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, a2, a2b2), [p(b1, a2), 4]):i(b1, a2b2)). lemma(87, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, b1, a2b2), [79, 86]):i(o, a2b2)). lemma(88, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a2, b1, a1b1), [83, 3]):i(a2, a1b1)). lemma(89, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a2, b1, ob), [83, 19]):i(a2, ob)). lemma(90, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, c1, a2c2, a2b2), [1:2:1, 86, 59, 2:2:1]): (p(b1, c1);l(a2c2, a2b2))). lemma(91, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, c1), [p(b1, c1)]):p(c1, b1)). lemma(92, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(o, b1, c1), [79, p(b1, c1)]):p(o, c1)). lemma(93, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(o, c1), [92]):p(c1, o)). lemma(94, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a2, b1, c1), [83, p(b1, c1)]):p(a2, c1)). lemma(95, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a2, c1), [94]):p(c1, a2)). lemma(96, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, c1, a1c1), [p(b1, c1), 7]):i(b1, a1c1)). lemma(97, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(a1c1), [6, 96, 7]):false). lemma(98, [p(b1, c1), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [97]):goal). lemma(99, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, a2b2), [l(a2c2, a2b2)]):l(a2b2, a2c2)). lemma(100, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, a2c2, a2b2), [l(oc, a2c2), l(a2c2, a2b2)]):l(oc, a2b2)). lemma(101, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, a2b2), [100]):l(a2b2, oc)). lemma(102, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(b1c1, a2c2, a2b2), [68, l(a2c2, a2b2)]):l(b1c1, a2b2)). lemma(103, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b1c1, a2b2), [102]):l(a2b2, b1c1)). lemma(104, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, a2b2, a2c2), [5, 99]):i(b2, a2c2)). lemma(105, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(a2c2), [8, 104, 9]):false). lemma(106, [l(a2c2, a2b2), p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [105]):goal). lemma(107, [p(b1, a2), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(90), [98, 106]):goal). lemma(108, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, oa), [l(a2c2, oa)]):l(oa, a2c2)). lemma(109, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, a2c2, oa), [l(oc, a2c2), l(a2c2, oa)]):l(oc, oa)). lemma(110, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, oa), [109]):l(oa, oc)). lemma(111, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(b1c1, a2c2, oa), [68, l(a2c2, oa)]):l(b1c1, oa)). lemma(112, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b1c1, oa), [111]):l(oa, b1c1)). lemma(113, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, a2c2, oa), [9, l(a2c2, oa)]):i(c2, oa)). lemma(114, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, b1c1, oa), [10, 111]):i(c1, oa)). lemma(115, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(oa), [17, 80, 114]):false). lemma(116, [l(a2c2, oa), p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [115]):goal). lemma(117, [p(b1, o), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(82), [107, 116]):goal). lemma(118, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, ob), [l(a2c2, ob)]):l(ob, a2c2)). lemma(119, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, a2c2, ob), [l(oc, a2c2), l(a2c2, ob)]):l(oc, ob)). lemma(120, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, ob), [119]):l(ob, oc)). lemma(121, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(b1c1, a2c2, ob), [68, l(a2c2, ob)]):l(b1c1, ob)). lemma(122, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b1c1, ob), [121]):l(ob, b1c1)). lemma(123, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, ob), [8, l(a2c2, ob)]):i(a2, ob)). lemma(124, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, a2c2, ob), [9, l(a2c2, ob)]):i(c2, ob)). lemma(125, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(ob), [123, 20, 124]):false). lemma(126, [l(a2c2, ob), l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [125]):goal). lemma(127, [l(a2c2, b1c1), l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(78), [117, 126]):goal). lemma(128, [l(oc, a2c2), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(62), [67, 127]):goal). lemma(129, [l(a2b2, a1b1), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, a1b1), [l(a2b2, a1b1)]):l(a1b1, a2b2)). lemma(130, [l(a2b2, a1b1), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notab, [129]):false). lemma(131, [l(a2b2, a1b1), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [130]):goal). lemma(132, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oa), [l(par(0), oa)]):l(oa, par(0))). lemma(133, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, par(0)), [14, 132]):i(o, par(0))). lemma(134, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, oa, par(0)), [17, 132]):i(a1, par(0))). lemma(135, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, oa, par(0)), [18, 132]):i(a2, par(0))). lemma(136, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, par(0), oa), [i(ac, par(0)), l(par(0), oa)]):i(ac, oa)). lemma(137, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, par(0), oa), [i(b2, par(0)), l(par(0), oa)]):i(b2, oa)). lemma(138, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), oa), [i(par(2), par(0)), l(par(0), oa)]):i(par(2), oa)). lemma(139, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, b2, b2c2, oa), [1:1, 17, 13, 137]): (p(a1, b2);l(b2c2, oa))). lemma(140, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b2), [p(a1, b2)]):p(b2, a1)). lemma(141, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, a2b2), [p(a1, b2), 5]):i(a1, a2b2)). lemma(142, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, ob), [p(a1, b2), 20]):i(a1, ob)). lemma(143, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, a1b1), [140, 2]):i(b2, a1b1)). lemma(144, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, a1c1), [140, 6]):i(b2, a1c1)). lemma(145, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, b2, a2b2, a1c1), [2:2:1, 7, 5, 144]): (p(c1, b2);l(a2b2, a1c1))). lemma(146, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, b2), [p(c1, b2)]):p(b2, c1)). lemma(147, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, b2, c1), [p(a1, b2), 146]):p(a1, c1)). lemma(148, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c1), [147]):p(c1, a1)). lemma(149, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, b2c2), [p(c1, b2), 13]):i(c1, b2c2)). lemma(150, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, ob), [p(c1, b2), 20]):i(c1, ob)). lemma(151, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [142, 19, 150]):false). lemma(152, [p(c1, b2), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [151]):goal). lemma(153, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, a1c1), [l(a2b2, a1c1)]):l(a1c1, a2b2)). lemma(154, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, a1c1), [4, l(a2b2, a1c1)]):i(a2, a1c1)). lemma(155, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, a2b2), [25, 153]):i(ac, a2b2)). lemma(156, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a2b2, a1c1), [28, l(a2b2, a1c1)]):i(ab, a1c1)). lemma(157, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, ab, a1b1, a1c1), [2, 6, 27, 156]): (p(a1, ab);l(a1b1, a1c1))). lemma(158, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, ab), [p(a1, ab)]):p(ab, a1)). lemma(159, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, a1, ab), [140, p(a1, ab)]):p(b2, ab)). lemma(160, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, ab), [159]):p(ab, b2)). lemma(161, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ab, a1, b2c2), [158, 1:1]):i(ab, b2c2)). lemma(162, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ab, a1, oa), [158, 17]):i(ab, oa)). lemma(163, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ab, a1, par(0)), [158, 134]):i(ab, par(0))). lemma(164, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ab, a1, ob), [158, 142]):i(ab, ob)). lemma(165, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, b1, a1b1, ob), [2, 142, 3, 19]): (p(a1, b1);l(a1b1, ob))). lemma(166, [p(a1, b1), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b1), [p(a1, b1)]):p(b1, a1)). lemma(167, [p(a1, b1), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, a1, b1), [140, p(a1, b1)]):p(b2, b1)). lemma(168, [p(a1, b1), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notbb, [167]):false). lemma(169, [p(a1, b1), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [168]):goal). lemma(170, [l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1b1, ob), [l(a1b1, ob)]):l(ob, a1b1)). lemma(171, [l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, ob, a1b1), [15, 170]):i(o, a1b1)). lemma(172, [l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, o, a1b1, oa), [2, 17, 171, 14]): (p(a1, o);l(a1b1, oa))). lemma(173, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, o), [p(a1, o)]):p(o, a1)). lemma(174, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, a1, o), [140, p(a1, o)]):p(b2, o)). lemma(175, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, o), [174]):p(o, b2)). lemma(176, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ab, a1, o), [158, p(a1, o)]):p(ab, o)). lemma(177, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ab, o), [176]):p(o, ab)). lemma(178, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, o, oc), [p(a1, o), 16]):i(a1, oc)). lemma(179, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, oc), [140, 178]):i(b2, oc)). lemma(180, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ab, a1, oc), [158, 178]):i(ab, oc)). lemma(181, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, b2c2), [173, 1:1]):i(o, b2c2)). lemma(182, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, a1c1), [173, 6]):i(o, a1c1)). lemma(183, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, a2b2), [173, 141]):i(o, a2b2)). lemma(184, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, c2, b2c2, oc), [1:1, 178, 12, 22]): (p(a1, c2);l(b2c2, oc))). lemma(185, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c2), [p(a1, c2)]):p(c2, a1)). lemma(186, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, a1, c2), [140, p(a1, c2)]):p(b2, c2)). lemma(187, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, c2), [186]):p(c2, b2)). lemma(188, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ab, a1, c2), [158, p(a1, c2)]):p(ab, c2)). lemma(189, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ab, c2), [188]):p(c2, ab)). lemma(190, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(o, a1, c2), [173, p(a1, c2)]):p(o, c2)). lemma(191, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(o, c2), [190]):p(c2, o)). lemma(192, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c2, a2c2), [p(a1, c2), 9]):i(a1, a2c2)). lemma(193, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, a2c2), [140, 192]):i(b2, a2c2)). lemma(194, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(a2c2), [8, 193, 9]):false). lemma(195, [p(a1, c2), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [194]):goal). lemma(196, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oc), [l(b2c2, oc)]):l(oc, b2c2)). lemma(197, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, oc, b2c2), [21, 196]):i(c1, b2c2)). lemma(198, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, oc), [24, l(b2c2, oc)]):i(bc, oc)). lemma(199, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), oc, b2c2), [i(par(2), oc), 196]):i(par(2), b2c2)). lemma(200, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, c1, b2c2, a1c1), [1:1, 6, 197, 7]): (p(a1, c1);l(b2c2, a1c1))). lemma(201, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c1), [p(a1, c1)]):p(c1, a1)). lemma(202, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, a1, c1), [140, p(a1, c1)]):p(b2, c1)). lemma(203, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, c1), [202]):p(c1, b2)). lemma(204, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ab, a1, c1), [158, p(a1, c1)]):p(ab, c1)). lemma(205, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ab, c1), [204]):p(c1, ab)). lemma(206, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(o, a1, c1), [173, p(a1, c1)]):p(o, c1)). lemma(207, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(o, c1), [206]):p(c1, o)). lemma(208, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c1, b1c1), [p(a1, c1), 10]):i(a1, b1c1)). lemma(209, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(b1c1), [208, 11, 10]):false). lemma(210, [p(a1, c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [209]):goal). lemma(211, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, a1c1), [l(b2c2, a1c1)]):l(a1c1, b2c2)). lemma(212, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a2b2, a1c1, b2c2), [l(a2b2, a1c1), 211]):l(a2b2, b2c2)). lemma(213, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, b2c2), [212]):l(b2c2, a2b2)). lemma(214, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, b2c2, a1c1), [196, l(b2c2, a1c1)]):l(oc, a1c1)). lemma(215, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, a1c1), [214]):l(a1c1, oc)). lemma(216, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a2b2, a1c1, oc), [l(a2b2, a1c1), 215]):l(a2b2, oc)). lemma(217, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, oc), [216]):l(oc, a2b2)). lemma(218, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, b2c2), [4, 212]):i(a2, b2c2)). lemma(219, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(b2c2), [218, 13, 12]):false). lemma(220, [l(b2c2, a1c1), l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [219]):goal). lemma(221, [l(b2c2, oc), p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(200), [210, 220]):goal). lemma(222, [p(a1, o), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(184), [195, 221]):goal). lemma(223, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1b1, oa), [l(a1b1, oa)]):l(oa, a1b1)). lemma(224, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oa, a1b1), [l(par(0), oa), 223]):l(par(0), a1b1)). lemma(225, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a1b1), [224]):l(a1b1, par(0))). lemma(226, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(ob, a1b1, oa), [170, l(a1b1, oa)]):l(ob, oa)). lemma(227, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(ob, oa), [226]):l(oa, ob)). lemma(228, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oa, ob), [l(par(0), oa), 227]):l(par(0), ob)). lemma(229, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), ob), [228]):l(ob, par(0))). lemma(230, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b1, a1b1, oa), [3, l(a1b1, oa)]):i(b1, oa)). lemma(231, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b1, a1b1, par(0)), [3, 225]):i(b1, par(0))). lemma(232, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, oa, a1b1), [18, 223]):i(a2, a1b1)). lemma(233, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, oa, ob), [18, 227]):i(a2, ob)). lemma(234, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, par(0), a1b1), [i(ac, par(0)), 224]):i(ac, a1b1)). lemma(235, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, par(0), ob), [i(ac, par(0)), 228]):i(ac, ob)). lemma(236, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), a1b1), [i(par(1), par(0)), 224]):i(par(1), a1b1)). lemma(237, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), ob), [i(par(1), par(0)), 228]):i(par(1), ob)). lemma(238, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), a1b1), [i(par(2), par(0)), 224]):i(par(2), a1b1)). lemma(239, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), ob), [i(par(2), par(0)), 228]):i(par(2), ob)). lemma(240, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, a2, a2c2, a1b1), [1:2:1, 3, 8, 232]): (p(b1, a2);l(a2c2, a1b1))). lemma(241, [p(b1, a2), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, a2), [p(b1, a2)]):p(a2, b1)). lemma(242, [p(b1, a2), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, a2, a2b2), [p(b1, a2), 4]):i(b1, a2b2)). lemma(243, [p(b1, a2), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(a2b2), [141, 242, 2:2:1]):false). lemma(244, [p(b1, a2), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [243]):goal). lemma(245, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, a1b1), [l(a2c2, a1b1)]):l(a1b1, a2c2)). lemma(246, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(ob, a1b1, a2c2), [170, 245]):l(ob, a2c2)). lemma(247, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(ob, a2c2), [246]):l(a2c2, ob)). lemma(248, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oa, a1b1, a2c2), [223, 245]):l(oa, a2c2)). lemma(249, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oa, a2c2), [248]):l(a2c2, oa)). lemma(250, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oa, a2c2), [l(par(0), oa), 248]):l(par(0), a2c2)). lemma(251, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a2c2), [250]):l(a2c2, par(0))). lemma(252, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, a1b1, a2c2), [2, 245]):i(a1, a2c2)). lemma(253, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, a2c2), [140, 252]):i(b2, a2c2)). lemma(254, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(a2c2), [8, 253, 9]):false). lemma(255, [l(a2c2, a1b1), l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [254]):goal). lemma(256, [l(a1b1, oa), l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(240), [244, 255]):goal). lemma(257, [l(a1b1, ob), p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(172), [222, 256]):goal). lemma(258, [p(a1, ab), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(165), [169, 257]):goal). lemma(259, [l(a1b1, a1c1), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1b1, a1c1), [l(a1b1, a1c1)]):l(a1c1, a1b1)). lemma(260, [l(a1b1, a1c1), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a2b2, a1c1, a1b1), [l(a2b2, a1c1), 259]):l(a2b2, a1b1)). lemma(261, [l(a1b1, a1c1), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, a1b1), [260]):l(a1b1, a2b2)). lemma(262, [l(a1b1, a1c1), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notab, [261]):false). lemma(263, [l(a1b1, a1c1), l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [262]):goal). lemma(264, [l(a2b2, a1c1), p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(157), [258, 263]):goal). lemma(265, [p(a1, b2), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(145), [152, 264]):goal). lemma(266, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oa), [l(b2c2, oa)]):l(oa, b2c2)). lemma(267, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oa, b2c2), [l(par(0), oa), 266]):l(par(0), b2c2)). lemma(268, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), b2c2), [267]):l(b2c2, par(0))). lemma(269, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, oa), [12, l(b2c2, oa)]):i(c2, oa)). lemma(270, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oa), [18, 137, 269]):false). lemma(271, [l(b2c2, oa), l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [270]):goal). lemma(272, [l(par(0), oa), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(139), [265, 271]):goal). lemma(273, [ (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(papp(c1, a1, ac, b2, b1, o, a2, bc, par(2), a1c1, ob, oa, a2c2, b2c2, b1c1, par(0), oc), [7, 6, 25, 20, 19, 15, 17, 14, 18, 26, 1:2:1, 8, 1:1, 13, 24, 10, 11, 23, i(ac, par(0)), i(b2, par(0)), i(par(2), par(0)), 21, 16, i(par(2), oc)]): (l(oa, a2c2);l(b2c2, b1c1);l(par(0), oc);dom(A), l(A, A), i(a2, A), i(bc, A), i(par(2), A))). lemma(274, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oa, a2c2), [l(oa, a2c2)]):l(a2c2, oa)). lemma(275, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b1, a2c2, oa), [1:2:1, 274]):i(b1, oa)). lemma(276, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, a2c2, oa), [9, 274]):i(c2, oa)). lemma(277, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, a2c2), [14, l(oa, a2c2)]):i(o, a2c2)). lemma(278, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, oa, a2c2), [17, l(oa, a2c2)]):i(a1, a2c2)). lemma(279, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a2c2, oa), [26, 274]):i(ac, oa)). lemma(280, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), oa, a2c2), [i(par(1), oa), l(oa, a2c2)]):i(par(1), a2c2)). lemma(281, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, c2, b2c2, oa), [1:1, 17, 12, 276]): (p(a1, c2);l(b2c2, oa))). lemma(282, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c2), [p(a1, c2)]):p(c2, a1)). lemma(283, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c2, oc), [p(a1, c2), 22]):i(a1, oc)). lemma(284, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c2, par(3)), [p(a1, c2), i(c2, par(3))]):i(a1, par(3))). lemma(285, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, a1b1), [282, 2]):i(c2, a1b1)). lemma(286, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, a1c1), [282, 6]):i(c2, a1c1)). lemma(287, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, c2, a2c2, a1b1), [1:2:1, 3, 9, 285]): (p(b1, c2);l(a2c2, a1b1))). lemma(288, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, c2), [p(b1, c2)]):p(c2, b1)). lemma(289, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, c2, b1), [p(a1, c2), 288]):p(a1, b1)). lemma(290, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b1), [289]):p(b1, a1)). lemma(291, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, c2, b2c2), [p(b1, c2), 12]):i(b1, b2c2)). lemma(292, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, c2, oc), [p(b1, c2), 22]):i(b1, oc)). lemma(293, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(oc), [283, 292, 21]):false). lemma(294, [p(b1, c2), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [293]):goal). lemma(295, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, a1b1), [l(a2c2, a1b1)]):l(a1b1, a2c2)). lemma(296, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oa, a2c2, a1b1), [l(oa, a2c2), l(a2c2, a1b1)]):l(oa, a1b1)). lemma(297, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oa, a1b1), [296]):l(a1b1, oa)). lemma(298, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, a1b1), [8, l(a2c2, a1b1)]):i(a2, a1b1)). lemma(299, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, a1b1), [14, 296]):i(o, a1b1)). lemma(300, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a2c2, a1b1), [26, l(a2c2, a1b1)]):i(ac, a1b1)). lemma(301, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a1b1, a2c2), [27, 295]):i(ab, a2c2)). lemma(302, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a1b1, oa), [27, 297]):i(ab, oa)). lemma(303, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), oa, a1b1), [i(par(1), oa), 296]):i(par(1), a1b1)). lemma(304, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, o, a2c2, ob), [1:2:1, 19, 277, 15]): (p(b1, o);l(a2c2, ob))). lemma(305, [p(b1, o), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, o), [p(b1, o)]):p(o, b1)). lemma(306, [p(b1, o), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, o, oc), [p(b1, o), 16]):i(b1, oc)). lemma(307, [p(b1, o), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(oc), [283, 306, 21]):false). lemma(308, [p(b1, o), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [307]):goal). lemma(309, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, ob), [l(a2c2, ob)]):l(ob, a2c2)). lemma(310, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oa, a2c2, ob), [l(oa, a2c2), l(a2c2, ob)]):l(oa, ob)). lemma(311, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oa, ob), [310]):l(ob, oa)). lemma(312, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1b1, a2c2, ob), [295, l(a2c2, ob)]):l(a1b1, ob)). lemma(313, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1b1, ob), [312]):l(ob, a1b1)). lemma(314, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, a1b1, ob), [2, 312]):i(a1, ob)). lemma(315, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, ob), [282, 314]):i(c2, ob)). lemma(316, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, ob), [8, l(a2c2, ob)]):i(a2, ob)). lemma(317, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(ob), [316, 20, 315]):false). lemma(318, [l(a2c2, ob), l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [317]):goal). lemma(319, [l(a2c2, a1b1), p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(304), [308, 318]):goal). lemma(320, [p(a1, c2), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(287), [294, 319]):goal). lemma(321, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oa), [l(b2c2, oa)]):l(oa, b2c2)). lemma(322, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a2c2, oa, b2c2), [274, 321]):l(a2c2, b2c2)). lemma(323, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, b2c2), [322]):l(b2c2, a2c2)). lemma(324, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b1, a2c2, b2c2), [1:2:1, 322]):i(b1, b2c2)). lemma(325, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2c2, b2c2), [8, 322]):i(a2, b2c2)). lemma(326, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(b2c2), [325, 13, 12]):false). lemma(327, [l(b2c2, oa), l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [326]):goal). lemma(328, [l(oa, a2c2), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(281), [320, 327]):goal). lemma(329, [l(b2c2, b1c1), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, b1c1), [l(b2c2, b1c1)]):l(b1c1, b2c2)). lemma(330, [l(b2c2, b1c1), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notbc, [329]):false). lemma(331, [l(b2c2, b1c1), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [330]):goal). lemma(332, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oc), [l(par(0), oc)]):l(oc, par(0))). lemma(333, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, par(0)), [16, 332]):i(o, par(0))). lemma(334, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, oc, par(0)), [21, 332]):i(c1, par(0))). lemma(335, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, oc, par(0)), [22, 332]):i(c2, par(0))). lemma(336, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, par(0), oc), [i(ac, par(0)), l(par(0), oc)]):i(ac, oc)). lemma(337, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, par(0), oc), [i(b2, par(0)), l(par(0), oc)]):i(b2, oc)). lemma(338, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), oc), [i(par(1), par(0)), l(par(0), oc)]):i(par(1), oc)). lemma(339, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, b2, a2b2, oc), [2:2:1, 21, 5, 337]): (p(c1, b2);l(a2b2, oc))). lemma(340, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, b2), [p(c1, b2)]):p(b2, c1)). lemma(341, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, b2c2), [p(c1, b2), 13]):i(c1, b2c2)). lemma(342, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, ob), [p(c1, b2), 20]):i(c1, ob)). lemma(343, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, c1, a1c1), [340, 7]):i(b2, a1c1)). lemma(344, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, c1, b1c1), [340, 10]):i(b2, b1c1)). lemma(345, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, b2, b2c2, a1c1), [1:1, 6, 13, 343]): (p(a1, b2);l(b2c2, a1c1))). lemma(346, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b2), [p(a1, b2)]):p(b2, a1)). lemma(347, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c1, b2, a1), [p(c1, b2), 346]):p(c1, a1)). lemma(348, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, a1), [347]):p(a1, c1)). lemma(349, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, a2b2), [p(a1, b2), 5]):i(a1, a2b2)). lemma(350, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, ob), [p(a1, b2), 20]):i(a1, ob)). lemma(351, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [350, 19, 342]):false). lemma(352, [p(a1, b2), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [351]):goal). lemma(353, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, a1c1), [l(b2c2, a1c1)]):l(a1c1, b2c2)). lemma(354, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, a1c1), [12, l(b2c2, a1c1)]):i(c2, a1c1)). lemma(355, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, a1c1), [24, l(b2c2, a1c1)]):i(bc, a1c1)). lemma(356, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, b2c2), [25, 353]):i(ac, b2c2)). lemma(357, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, bc, a1c1, b1c1), [7, 10, 355, 23]): (p(c1, bc);l(a1c1, b1c1))). lemma(358, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, bc), [p(c1, bc)]):p(bc, c1)). lemma(359, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, c1, bc), [340, p(c1, bc)]):p(b2, bc)). lemma(360, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, bc), [359]):p(bc, b2)). lemma(361, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(bc, c1, a2b2), [358, 2:2:1]):i(bc, a2b2)). lemma(362, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(bc, c1, oc), [358, 21]):i(bc, oc)). lemma(363, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(bc, c1, par(0)), [358, 334]):i(bc, par(0))). lemma(364, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(bc, c1, ob), [358, 342]):i(bc, ob)). lemma(365, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, ac, a1c1, oc), [7, 21, 25, 336]): (p(c1, ac);l(a1c1, oc))). lemma(366, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, ac), [p(c1, ac)]):p(ac, c1)). lemma(367, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(b2, c1, ac), [340, p(c1, ac)]):p(b2, ac)). lemma(368, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b2, ac), [367]):p(ac, b2)). lemma(369, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(bc, c1, ac), [358, p(c1, ac)]):p(bc, ac)). lemma(370, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(bc, ac), [369]):p(ac, bc)). lemma(371, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, ac, a2c2), [p(c1, ac), 26]):i(c1, a2c2)). lemma(372, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, c1, a2c2), [340, 371]):i(b2, a2c2)). lemma(373, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(a2c2), [8, 372, 9]):false). lemma(374, [p(c1, ac), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [373]):goal). lemma(375, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oc), [l(a1c1, oc)]):l(oc, a1c1)). lemma(376, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oc, a1c1), [l(par(0), oc), 375]):l(par(0), a1c1)). lemma(377, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a1c1), [376]):l(a1c1, par(0))). lemma(378, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(b2c2, a1c1, oc), [l(b2c2, a1c1), l(a1c1, oc)]):l(b2c2, oc)). lemma(379, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oc), [378]):l(oc, b2c2)). lemma(380, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oc, b2c2), [l(par(0), oc), 379]):l(par(0), b2c2)). lemma(381, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), b2c2), [380]):l(b2c2, par(0))). lemma(382, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, b2c2, oc), [1:1, 378]):i(a1, oc)). lemma(383, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, b2c2, par(0)), [1:1, 381]):i(a1, par(0))). lemma(384, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, a1c1), [16, 375]):i(o, a1c1)). lemma(385, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, b2c2), [16, 379]):i(o, b2c2)). lemma(386, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), a1c1), [i(par(1), par(0)), 376]):i(par(1), a1c1)). lemma(387, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), b2c2), [i(par(1), par(0)), 380]):i(par(1), b2c2)). lemma(388, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), a1c1), [i(par(2), par(0)), 376]):i(par(2), a1c1)). lemma(389, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), b2c2), [i(par(2), par(0)), 380]):i(par(2), b2c2)). lemma(390, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, o, b2c2, oa), [1:1, 17, 385, 14]): (p(a1, o);l(b2c2, oa))). lemma(391, [p(a1, o), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, o), [p(a1, o)]):p(o, a1)). lemma(392, [p(a1, o), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, o, ob), [p(a1, o), 15]):i(a1, ob)). lemma(393, [p(a1, o), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [392, 19, 342]):false). lemma(394, [p(a1, o), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [393]):goal). lemma(395, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oa), [l(b2c2, oa)]):l(oa, b2c2)). lemma(396, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, oa), [353, l(b2c2, oa)]):l(a1c1, oa)). lemma(397, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oa), [396]):l(oa, a1c1)). lemma(398, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, a1c1, oa), [375, 396]):l(oc, oa)). lemma(399, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, oa), [398]):l(oa, oc)). lemma(400, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oc, oa), [l(par(0), oc), 398]):l(par(0), oa)). lemma(401, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oa), [400]):l(oa, par(0))). lemma(402, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, oa), [7, 396]):i(c1, oa)). lemma(403, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, c1, oa), [340, 402]):i(b2, oa)). lemma(404, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(bc, c1, oa), [358, 402]):i(bc, oa)). lemma(405, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, oa), [12, l(b2c2, oa)]):i(c2, oa)). lemma(406, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oa), [18, 403, 405]):false). lemma(407, [l(b2c2, oa), l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [406]):goal). lemma(408, [l(a1c1, oc), p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(390), [394, 407]):goal). lemma(409, [p(c1, bc), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(365), [374, 408]):goal). lemma(410, [l(a1c1, b1c1), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, b1c1), [l(a1c1, b1c1)]):l(b1c1, a1c1)). lemma(411, [l(a1c1, b1c1), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(b2c2, a1c1, b1c1), [l(b2c2, a1c1), l(a1c1, b1c1)]):l(b2c2, b1c1)). lemma(412, [l(a1c1, b1c1), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, b1c1), [411]):l(b1c1, b2c2)). lemma(413, [l(a1c1, b1c1), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notbc, [412]):false). lemma(414, [l(a1c1, b1c1), l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [413]):goal). lemma(415, [l(b2c2, a1c1), p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(357), [409, 414]):goal). lemma(416, [p(c1, b2), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(345), [352, 415]):goal). lemma(417, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, oc), [l(a2b2, oc)]):l(oc, a2b2)). lemma(418, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), oc, a2b2), [l(par(0), oc), 417]):l(par(0), a2b2)). lemma(419, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a2b2), [418]):l(a2b2, par(0))). lemma(420, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, oc), [4, l(a2b2, oc)]):i(a2, oc)). lemma(421, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oc), [420, 337, 22]):false). lemma(422, [l(a2b2, oc), l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [421]):goal). lemma(423, [l(par(0), oc), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(339), [416, 422]):goal). lemma(424, [ (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(papp(a1, a2, par(1), par(2), c2, c1, ab, bc, ac, oa, oc, a2b2, par(3), par(4), b2c2, par(0), a1c1), [17, 18, i(par(1), oa), i(par(2), oc), 22, 21, 4, 2:2:1, 28, i(par(1), par(3)), i(c2, par(3)), i(ab, par(3)), i(a2, par(4)), i(par(2), par(4)), i(bc, par(4)), 1:1, 12, 24, i(par(1), par(0)), i(par(2), par(0)), i(ac, par(0)), 6, 7, 25]): (l(a2b2, par(3));l(par(4), b2c2);l(par(0), a1c1);dom(A), l(A, A), i(ab, A), i(bc, A), i(ac, A))). lemma(425, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, par(3)), [l(a2b2, par(3))]):l(par(3), a2b2)). lemma(426, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a2b2, par(3)), [2:2:1, l(a2b2, par(3))]):i(c1, par(3))). lemma(427, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, par(3)), [4, l(a2b2, par(3))]):i(a2, par(3))). lemma(428, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, a2b2, par(3)), [5, l(a2b2, par(3))]):i(b2, par(3))). lemma(429, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(par(3)), [427, 428, i(c2, par(3))]):false). lemma(430, [l(a2b2, par(3)), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [429]):goal). lemma(431, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(4), b2c2), [l(par(4), b2c2)]):l(b2c2, par(4))). lemma(432, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, b2c2, par(4)), [1:1, 431]):i(a1, par(4))). lemma(433, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, par(4)), [12, 431]):i(c2, par(4))). lemma(434, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, b2c2, par(4)), [13, 431]):i(b2, par(4))). lemma(435, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(par(4)), [i(a2, par(4)), 434, 433]):false). lemma(436, [l(par(4), b2c2), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [435]):goal). lemma(437, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a1c1), [l(par(0), a1c1)]):l(a1c1, par(0))). lemma(438, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a1, a1c1, par(0)), [6, 437]):i(a1, par(0))). lemma(439, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, par(0)), [7, 437]):i(c1, par(0))). lemma(440, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, par(0), a1c1), [i(b2, par(0)), l(par(0), a1c1)]):i(b2, a1c1)). lemma(441, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), a1c1), [i(par(1), par(0)), l(par(0), a1c1)]):i(par(1), a1c1)). lemma(442, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), a1c1), [i(par(2), par(0)), l(par(0), a1c1)]):i(par(2), a1c1)). lemma(443, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, b2, b2c2, a1c1), [1:1, 6, 13, 440]): (p(a1, b2);l(b2c2, a1c1))). lemma(444, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b2), [p(a1, b2)]):p(b2, a1)). lemma(445, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, a2b2), [p(a1, b2), 5]):i(a1, a2b2)). lemma(446, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, ob), [p(a1, b2), 20]):i(a1, ob)). lemma(447, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, a1b1), [444, 2]):i(b2, a1b1)). lemma(448, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b2, a1, oa), [444, 17]):i(b2, oa)). lemma(449, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, b2, a2b2, a1c1), [2:2:1, 7, 5, 440]): (p(c1, b2);l(a2b2, a1c1))). lemma(450, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, b2), [p(c1, b2)]):p(b2, c1)). lemma(451, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, b2, c1), [p(a1, b2), 450]):p(a1, c1)). lemma(452, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c1), [451]):p(c1, a1)). lemma(453, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, b2c2), [p(c1, b2), 13]):i(c1, b2c2)). lemma(454, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, b2, ob), [p(c1, b2), 20]):i(c1, ob)). lemma(455, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [446, 19, 454]):false). lemma(456, [p(c1, b2), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [455]):goal). lemma(457, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, a1c1), [l(a2b2, a1c1)]):l(a1c1, a2b2)). lemma(458, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, a2b2), [l(par(0), a1c1), 457]):l(par(0), a2b2)). lemma(459, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), a2b2), [458]):l(a2b2, par(0))). lemma(460, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, a1c1), [4, l(a2b2, a1c1)]):i(a2, a1c1)). lemma(461, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, par(0)), [4, 459]):i(a2, par(0))). lemma(462, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, a2b2), [25, 457]):i(ac, a2b2)). lemma(463, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a2b2, a1c1), [28, l(a2b2, a1c1)]):i(ab, a1c1)). lemma(464, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a2b2, par(0)), [28, 459]):i(ab, par(0))). lemma(465, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), a2b2), [i(par(1), par(0)), 458]):i(par(1), a2b2)). lemma(466, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), a2b2), [i(par(2), par(0)), 458]):i(par(2), a2b2)). lemma(467, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, par(2), a2b2, oc), [2:2:1, 21, 466, i(par(2), oc)]): (p(c1, par(2));l(a2b2, oc))). lemma(468, [p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, par(2)), [p(c1, par(2))]):p(par(2), c1)). lemma(469, [p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, par(2), par(4)), [p(c1, par(2)), i(par(2), par(4))]):i(c1, par(4))). lemma(470, [p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(2), c1, b1c1), [468, 10]):i(par(2), b1c1)). lemma(471, [p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, a2, a2b2, par(4)), [2:2:1, 469, 4, i(a2, par(4))]): (p(c1, a2);l(a2b2, par(4)))). lemma(472, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, a2), [p(c1, a2)]):p(a2, c1)). lemma(473, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(2), c1, a2), [468, p(c1, a2)]):p(par(2), a2)). lemma(474, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(2), a2), [473]):p(a2, par(2))). lemma(475, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, a2, a2c2), [p(c1, a2), 8]):i(c1, a2c2)). lemma(476, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(2), c1, a2c2), [468, 475]):i(par(2), a2c2)). lemma(477, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, a2, oa), [p(c1, a2), 18]):i(c1, oa)). lemma(478, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(2), c1, oa), [468, 477]):i(par(2), oa)). lemma(479, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a2, c1, b1c1), [472, 10]):i(a2, b1c1)). lemma(480, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a2, c1, oc), [472, 21]):i(a2, oc)). lemma(481, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(b1, a2, a2c2, b1c1), [1:2:1, 11, 8, 479]): (p(b1, a2);l(a2c2, b1c1))). lemma(482, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(b1, a2), [p(b1, a2)]):p(a2, b1)). lemma(483, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c1, a2, b1), [p(c1, a2), 482]):p(c1, b1)). lemma(484, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, b1), [483]):p(b1, c1)). lemma(485, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(2), c1, b1), [468, 483]):p(par(2), b1)). lemma(486, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(2), b1), [485]):p(b1, par(2))). lemma(487, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(b1, a2, a2b2), [p(b1, a2), 4]):i(b1, a2b2)). lemma(488, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(a2b2), [445, 487, 2:2:1]):false). lemma(489, [p(b1, a2), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [488]):goal). lemma(490, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, b1c1), [l(a2c2, b1c1)]):l(b1c1, a2c2)). lemma(491, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, a2c2, b1c1), [9, l(a2c2, b1c1)]):i(c2, b1c1)). lemma(492, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b1c1, a2c2), [23, 490]):i(bc, a2c2)). lemma(493, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a2c2, b1c1), [26, l(a2c2, b1c1)]):i(ac, b1c1)). lemma(494, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, ac, a2b2, b1c1), [2:2:1, 10, 462, 493]): (p(c1, ac);l(a2b2, b1c1))). lemma(495, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, ac), [p(c1, ac)]):p(ac, c1)). lemma(496, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(2), c1, ac), [468, p(c1, ac)]):p(par(2), ac)). lemma(497, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(2), ac), [496]):p(ac, par(2))). lemma(498, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a2, c1, ac), [472, p(c1, ac)]):p(a2, ac)). lemma(499, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a2, ac), [498]):p(ac, a2)). lemma(500, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, c1, oc), [495, 21]):i(ac, oc)). lemma(501, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, c1, par(4)), [495, 469]):i(ac, par(4))). lemma(502, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, c1, oa), [495, 477]):i(ac, oa)). lemma(503, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, b2, a2b2, oa), [2:2:1, 477, 5, 448]): (p(c1, b2);l(a2b2, oa))). lemma(504, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, b2), [p(c1, b2)]):p(b2, c1)). lemma(505, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, b2, c1), [p(a1, b2), 504]):p(a1, c1)). lemma(506, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c1), [505]):p(c1, a1)). lemma(507, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(2), c1, b2), [468, p(c1, b2)]):p(par(2), b2)). lemma(508, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(2), b2), [507]):p(b2, par(2))). lemma(509, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, b2, par(2)), [p(a1, b2), 508]):p(a1, par(2))). lemma(510, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, par(2)), [509]):p(par(2), a1)). lemma(511, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a2, c1, b2), [472, p(c1, b2)]):p(a2, b2)). lemma(512, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a2, b2), [511]):p(b2, a2)). lemma(513, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a1, b2, a2), [p(a1, b2), 512]):p(a1, a2)). lemma(514, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, a2), [513]):p(a2, a1)). lemma(515, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notaa, [514]):false). lemma(516, [p(c1, b2), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [515]):goal). lemma(517, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, oa), [l(a2b2, oa)]):l(oa, a2b2)). lemma(518, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, oa), [457, l(a2b2, oa)]):l(a1c1, oa)). lemma(519, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oa), [518]):l(oa, a1c1)). lemma(520, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oa), [l(par(0), a1c1), 518]):l(par(0), oa)). lemma(521, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oa), [520]):l(oa, par(0))). lemma(522, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, a2b2), [14, 517]):i(o, a2b2)). lemma(523, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, a1c1), [14, 519]):i(o, a1c1)). lemma(524, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oa, par(0)), [14, 521]):i(o, par(0))). lemma(525, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a2b2, oa), [28, l(a2b2, oa)]):i(ab, oa)). lemma(526, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(c1, o, a2b2, oc), [2:2:1, 21, 522, 16]): (p(c1, o);l(a2b2, oc))). lemma(527, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c1, o), [p(c1, o)]):p(o, c1)). lemma(528, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(2), c1, o), [468, p(c1, o)]):p(par(2), o)). lemma(529, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(2), o), [528]):p(o, par(2))). lemma(530, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(a2, c1, o), [472, p(c1, o)]):p(a2, o)). lemma(531, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a2, o), [530]):p(o, a2)). lemma(532, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ac, c1, o), [495, p(c1, o)]):p(ac, o)). lemma(533, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ac, o), [532]):p(o, ac)). lemma(534, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c1, o, ob), [p(c1, o), 15]):i(c1, ob)). lemma(535, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [446, 19, 534]):false). lemma(536, [p(c1, o), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [535]):goal). lemma(537, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, oc), [l(a2b2, oc)]):l(oc, a2b2)). lemma(538, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, oc), [457, l(a2b2, oc)]):l(a1c1, oc)). lemma(539, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oc), [538]):l(oc, a1c1)). lemma(540, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oc), [l(par(0), a1c1), 538]):l(par(0), oc)). lemma(541, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oc), [540]):l(oc, par(0))). lemma(542, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oa, a2b2, oc), [517, l(a2b2, oc)]):l(oa, oc)). lemma(543, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oa, oc), [542]):l(oc, oa)). lemma(544, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, a2b2, oc), [5, l(a2b2, oc)]):i(b2, oc)). lemma(545, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oc), [480, 544, 22]):false). lemma(546, [l(a2b2, oc), l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [545]):goal). lemma(547, [l(a2b2, oa), p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(526), [536, 546]):goal). lemma(548, [p(c1, ac), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(503), [516, 547]):goal). lemma(549, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, b1c1), [l(a2b2, b1c1)]):l(b1c1, a2b2)). lemma(550, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, b1c1), [457, l(a2b2, b1c1)]):l(a1c1, b1c1)). lemma(551, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, b1c1), [550]):l(b1c1, a1c1)). lemma(552, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, b1c1), [l(par(0), a1c1), 550]):l(par(0), b1c1)). lemma(553, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), b1c1), [552]):l(b1c1, par(0))). lemma(554, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a2c2, b1c1, a2b2), [l(a2c2, b1c1), 549]):l(a2c2, a2b2)). lemma(555, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2c2, a2b2), [554]):l(a2b2, a2c2)). lemma(556, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, a2c2), [457, 555]):l(a1c1, a2c2)). lemma(557, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notac, [556]):false). lemma(558, [l(a2b2, b1c1), l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [557]):goal). lemma(559, [l(a2c2, b1c1), p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(494), [548, 558]):goal). lemma(560, [p(c1, a2), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(481), [489, 559]):goal). lemma(561, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, par(4)), [l(a2b2, par(4))]):l(par(4), a2b2)). lemma(562, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, par(4)), [457, l(a2b2, par(4))]):l(a1c1, par(4))). lemma(563, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, par(4)), [562]):l(par(4), a1c1)). lemma(564, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, par(4)), [l(par(0), a1c1), 562]):l(par(0), par(4))). lemma(565, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), par(4)), [564]):l(par(4), par(0))). lemma(566, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, a2b2, par(4)), [5, l(a2b2, par(4))]):i(b2, par(4))). lemma(567, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, par(4)), [p(a1, b2), 566]):i(a1, par(4))). lemma(568, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, par(4)), [25, 562]):i(ac, par(4))). lemma(569, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ab, a2b2, par(4)), [28, l(a2b2, par(4))]):i(ab, par(4))). lemma(570, [l(a2b2, par(4)), p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(goal_ax(par(4)), [l(par(4), par(4)), i(bc, par(4)), 568, 569]):goal). lemma(571, [p(c1, par(2)), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(471), [560, 570]):goal). lemma(572, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a2b2, oc), [l(a2b2, oc)]):l(oc, a2b2)). lemma(573, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, a2b2, oc), [457, l(a2b2, oc)]):l(a1c1, oc)). lemma(574, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oc), [573]):l(oc, a1c1)). lemma(575, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oc), [l(par(0), a1c1), 573]):l(par(0), oc)). lemma(576, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oc), [575]):l(oc, par(0))). lemma(577, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(a2, a2b2, oc), [4, l(a2b2, oc)]):i(a2, oc)). lemma(578, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, a2b2, oc), [5, l(a2b2, oc)]):i(b2, oc)). lemma(579, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oc), [577, 578, 22]):false). lemma(580, [l(a2b2, oc), l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [579]):goal). lemma(581, [l(a2b2, a1c1), p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(467), [571, 580]):goal). lemma(582, [p(a1, b2), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(449), [456, 581]):goal). lemma(583, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, a1c1), [l(b2c2, a1c1)]):l(a1c1, b2c2)). lemma(584, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, b2c2), [l(par(0), a1c1), 583]):l(par(0), b2c2)). lemma(585, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), b2c2), [584]):l(b2c2, par(0))). lemma(586, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, b2c2), [7, 583]):i(c1, b2c2)). lemma(587, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, a1c1), [12, l(b2c2, a1c1)]):i(c2, a1c1)). lemma(588, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, par(0)), [12, 585]):i(c2, par(0))). lemma(589, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, a1c1), [24, l(b2c2, a1c1)]):i(bc, a1c1)). lemma(590, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, par(0)), [24, 585]):i(bc, par(0))). lemma(591, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, b2c2), [25, 583]):i(ac, b2c2)). lemma(592, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(1), par(0), b2c2), [i(par(1), par(0)), 584]):i(par(1), b2c2)). lemma(593, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(par(2), par(0), b2c2), [i(par(2), par(0)), 584]):i(par(2), b2c2)). lemma(594, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, par(1), b2c2, oa), [1:1, 17, 592, i(par(1), oa)]): (p(a1, par(1));l(b2c2, oa))). lemma(595, [p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, par(1)), [p(a1, par(1))]):p(par(1), a1)). lemma(596, [p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, par(1), par(3)), [p(a1, par(1)), i(par(1), par(3))]):i(a1, par(3))). lemma(597, [p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(1), a1, a1b1), [595, 2]):i(par(1), a1b1)). lemma(598, [p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, c2, b2c2, par(3)), [1:1, 596, 12, i(c2, par(3))]): (p(a1, c2);l(b2c2, par(3)))). lemma(599, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c2), [p(a1, c2)]):p(c2, a1)). lemma(600, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(1), a1, c2), [595, p(a1, c2)]):p(par(1), c2)). lemma(601, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(1), c2), [600]):p(c2, par(1))). lemma(602, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c2, a2c2), [p(a1, c2), 9]):i(a1, a2c2)). lemma(603, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(1), a1, a2c2), [595, 602]):i(par(1), a2c2)). lemma(604, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, c2, oc), [p(a1, c2), 22]):i(a1, oc)). lemma(605, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(1), a1, oc), [595, 604]):i(par(1), oc)). lemma(606, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, a1b1), [599, 2]):i(c2, a1b1)). lemma(607, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, oa), [599, 17]):i(c2, oa)). lemma(608, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, ac, b2c2, a2c2), [1:1, 602, 591, 26]): (p(a1, ac);l(b2c2, a2c2))). lemma(609, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, ac), [p(a1, ac)]):p(ac, a1)). lemma(610, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(1), a1, ac), [595, p(a1, ac)]):p(par(1), ac)). lemma(611, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(1), ac), [610]):p(ac, par(1))). lemma(612, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c2, a1, ac), [599, p(a1, ac)]):p(c2, ac)). lemma(613, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c2, ac), [612]):p(ac, c2)). lemma(614, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, a1, a1b1), [609, 2]):i(ac, a1b1)). lemma(615, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, a1, oa), [609, 17]):i(ac, oa)). lemma(616, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, a1, par(3)), [609, 596]):i(ac, par(3))). lemma(617, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, a1, oc), [609, 604]):i(ac, oc)). lemma(618, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, c1, b2c2, oc), [1:1, 604, 586, 21]): (p(a1, c1);l(b2c2, oc))). lemma(619, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, c1), [p(a1, c1)]):p(c1, a1)). lemma(620, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(1), a1, c1), [595, p(a1, c1)]):p(par(1), c1)). lemma(621, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(1), c1), [620]):p(c1, par(1))). lemma(622, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c2, a1, c1), [599, p(a1, c1)]):p(c2, c1)). lemma(623, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notcc, [622]):false). lemma(624, [p(a1, c1), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [623]):goal). lemma(625, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oc), [l(b2c2, oc)]):l(oc, b2c2)). lemma(626, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, oc), [583, l(b2c2, oc)]):l(a1c1, oc)). lemma(627, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oc), [626]):l(oc, a1c1)). lemma(628, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oc), [l(par(0), a1c1), 626]):l(par(0), oc)). lemma(629, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oc), [628]):l(oc, par(0))). lemma(630, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, b2c2, oc), [13, l(b2c2, oc)]):i(b2, oc)). lemma(631, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, b2c2), [16, 625]):i(o, b2c2)). lemma(632, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, a1c1), [16, 627]):i(o, a1c1)). lemma(633, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(o, oc, par(0)), [16, 629]):i(o, par(0))). lemma(634, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, oc), [24, l(b2c2, oc)]):i(bc, oc)). lemma(635, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, o, b2c2, oa), [1:1, 17, 631, 14]): (p(a1, o);l(b2c2, oa))). lemma(636, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, o), [p(a1, o)]):p(o, a1)). lemma(637, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(1), a1, o), [595, p(a1, o)]):p(par(1), o)). lemma(638, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(1), o), [637]):p(o, par(1))). lemma(639, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c2, a1, o), [599, p(a1, o)]):p(c2, o)). lemma(640, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c2, o), [639]):p(o, c2)). lemma(641, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ac, a1, o), [609, p(a1, o)]):p(ac, o)). lemma(642, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ac, o), [641]):p(o, ac)). lemma(643, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, o, ob), [p(a1, o), 15]):i(a1, ob)). lemma(644, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(1), a1, ob), [595, 643]):i(par(1), ob)). lemma(645, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, ob), [599, 643]):i(c2, ob)). lemma(646, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(ac, a1, ob), [609, 643]):i(ac, ob)). lemma(647, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, a1b1), [636, 2]):i(o, a1b1)). lemma(648, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, par(3)), [636, 596]):i(o, par(3))). lemma(649, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(o, a1, a2c2), [636, 602]):i(o, a2c2)). lemma(650, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(unique(a1, b2, b2c2, ob), [1:1, 643, 13, 20]): (p(a1, b2);l(b2c2, ob))). lemma(651, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(a1, b2), [p(a1, b2)]):p(b2, a1)). lemma(652, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(par(1), a1, b2), [595, p(a1, b2)]):p(par(1), b2)). lemma(653, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(par(1), b2), [652]):p(b2, par(1))). lemma(654, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(c2, a1, b2), [599, p(a1, b2)]):p(c2, b2)). lemma(655, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(c2, b2), [654]):p(b2, c2)). lemma(656, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(ac, a1, b2), [609, p(a1, b2)]):p(ac, b2)). lemma(657, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(ac, b2), [656]):p(b2, ac)). lemma(658, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ptra(o, a1, b2), [636, p(a1, b2)]):p(o, b2)). lemma(659, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(psym(o, b2), [658]):p(b2, o)). lemma(660, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(a1, b2, a2b2), [p(a1, b2), 5]):i(a1, a2b2)). lemma(661, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(par(1), a1, a2b2), [595, 660]):i(par(1), a2b2)). lemma(662, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(pcon(c2, a1, a2b2), [599, 660]):i(c2, a2b2)). lemma(663, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(a2b2), [4, 5, 662]):false). lemma(664, [p(a1, b2), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [663]):goal). lemma(665, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, ob), [l(b2c2, ob)]):l(ob, b2c2)). lemma(666, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, ob), [583, l(b2c2, ob)]):l(a1c1, ob)). lemma(667, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, ob), [666]):l(ob, a1c1)). lemma(668, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, ob), [l(par(0), a1c1), 666]):l(par(0), ob)). lemma(669, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), ob), [668]):l(ob, par(0))). lemma(670, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, b2c2, ob), [625, l(b2c2, ob)]):l(oc, ob)). lemma(671, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, ob), [670]):l(ob, oc)). lemma(672, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, ob), [7, 666]):i(c1, ob)). lemma(673, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle1(ob), [643, 19, 672]):false). lemma(674, [l(b2c2, ob), p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [673]):goal). lemma(675, [p(a1, o), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(650), [664, 674]):goal). lemma(676, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oa), [l(b2c2, oa)]):l(oa, b2c2)). lemma(677, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, oa), [583, l(b2c2, oa)]):l(a1c1, oa)). lemma(678, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oa), [677]):l(oa, a1c1)). lemma(679, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oa), [l(par(0), a1c1), 677]):l(par(0), oa)). lemma(680, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oa), [679]):l(oa, par(0))). lemma(681, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(oc, b2c2, oa), [625, l(b2c2, oa)]):l(oc, oa)). lemma(682, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(oc, oa), [681]):l(oa, oc)). lemma(683, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, oa), [7, 677]):i(c1, oa)). lemma(684, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, b2c2, oa), [13, l(b2c2, oa)]):i(b2, oa)). lemma(685, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oa), [18, 684, 607]):false). lemma(686, [l(b2c2, oa), l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [685]):goal). lemma(687, [l(b2c2, oc), p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(635), [675, 686]):goal). lemma(688, [p(a1, ac), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(618), [624, 687]):goal). lemma(689, [l(b2c2, a2c2), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, a2c2), [l(b2c2, a2c2)]):l(a2c2, b2c2)). lemma(690, [l(b2c2, a2c2), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, a2c2), [583, l(b2c2, a2c2)]):l(a1c1, a2c2)). lemma(691, [l(b2c2, a2c2), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(notac, [690]):false). lemma(692, [l(b2c2, a2c2), p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [691]):goal). lemma(693, [p(a1, c2), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(608), [688, 692]):goal). lemma(694, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, par(3)), [l(b2c2, par(3))]):l(par(3), b2c2)). lemma(695, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, par(3)), [583, l(b2c2, par(3))]):l(a1c1, par(3))). lemma(696, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, par(3)), [695]):l(par(3), a1c1)). lemma(697, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, par(3)), [l(par(0), a1c1), 695]):l(par(0), par(3))). lemma(698, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), par(3)), [697]):l(par(3), par(0))). lemma(699, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, par(3)), [7, 695]):i(c1, par(3))). lemma(700, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, b2c2, par(3)), [13, l(b2c2, par(3))]):i(b2, par(3))). lemma(701, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(bc, b2c2, par(3)), [24, l(b2c2, par(3))]):i(bc, par(3))). lemma(702, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(ac, a1c1, par(3)), [25, 695]):i(ac, par(3))). lemma(703, [l(b2c2, par(3)), p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(goal_ax(par(3)), [l(par(3), par(3)), 701, 702, i(ab, par(3))]):goal). lemma(704, [p(a1, par(1)), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(598), [693, 703]):goal). lemma(705, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(b2c2, oa), [l(b2c2, oa)]):l(oa, b2c2)). lemma(706, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(a1c1, b2c2, oa), [583, l(b2c2, oa)]):l(a1c1, oa)). lemma(707, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(a1c1, oa), [706]):l(oa, a1c1)). lemma(708, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ltra(par(0), a1c1, oa), [l(par(0), a1c1), 706]):l(par(0), oa)). lemma(709, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lsym(par(0), oa), [708]):l(oa, par(0))). lemma(710, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c1, a1c1, oa), [7, 706]):i(c1, oa)). lemma(711, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(c2, b2c2, oa), [12, l(b2c2, oa)]):i(c2, oa)). lemma(712, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(lcon(b2, b2c2, oa), [13, l(b2c2, oa)]):i(b2, oa)). lemma(713, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(triangle2(oa), [18, 712, 711]):false). lemma(714, [l(b2c2, oa), l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(false_ind(goal), [713]):goal). lemma(715, [l(b2c2, a1c1), l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(594), [704, 714]):goal). lemma(716, [l(par(0), a1c1), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(443), [582, 715]):goal). lemma(717, [ (dom(par(5)), l(par(5), par(5)), i(ab, par(5)), i(bc, par(5)), i(ac, par(5))), (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(goal_ax(par(5)), [l(par(5), par(5)), i(bc, par(5)), i(ac, par(5)), i(ab, par(5))]):goal). lemma(718, [ (dom(par(4)), l(par(4), par(4)), i(a2, par(4)), i(bc, par(4)), i(par(2), par(4))), (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(424), [430, 436, 716, 717]):goal). lemma(719, [ (dom(par(3)), l(par(3), par(3)), i(c2, par(3)), i(ab, par(3)), i(par(1), par(3))), (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(273), [328, 331, 423, 718]):goal). lemma(720, [ (dom(par(2)), i(par(2), par(0)), i(par(2), oc)), (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(or_elim(54), [128, 131, 272, 719]):goal). lemma(721, [ (dom(par(1)), i(par(1), par(0)), i(par(1), oa)), (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ex_elim(52), 720):goal). lemma(722, [ (dom(par(0)), i(ac, par(0)), i(b2, par(0)))], ap(ex_elim(50), 721):goal). lemma(723, [], ap(ex_elim(48), 722):goal). 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