TSTP Solution File: SYO607+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:38:16 EDT 2023
% Result : Theorem 0.37s 1.40s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 18:29:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.37/1.40
% 0.37/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.40 ncf(matrix, plain, [(66 ^ _25042) ^ [_27141] : [g_false_only(a, _27141), 69 ^ _25042 : [(70 ^ _25042) ^ [_27252] : [g_false_only(_27141, _27252)]]], (73 ^ _25042) ^ [_27375] : [g_true_only(_27375, 71 ^ [_27375])], (75 ^ _25042) ^ [] : [76 ^ _25042 : [(77 ^ _25042) ^ [_27483] : [78 ^ _25042 : [(79 ^ _25042) ^ [] : [g_both(a, _27483)], (81 ^ _25042) ^ [] : [82 ^ _25042 : [(83 ^ _25042) ^ [_27680] : [g_both(_27483, _27680)]], -(g_false_only(_27483, 84 ^ [_27483]))]], -(g_true_only(a, _27483)), 91 ^ _25042 : [(92 ^ _25042) ^ [_27913] : [-(g_true_only(_27483, _27913))]]]], 96 ^ _25042 : [(97 ^ _25042) ^ [] : [-(g_false_only(a, 95 ^ []))], (100 ^ _25042) ^ [] : [-(g_false_only(95 ^ [], 98 ^ []))]], 111 ^ _25042 : [(112 ^ _25042) ^ [_28503] : [-(g_true_only(110 ^ [], _28503))]], 103 ^ _25042 : [(104 ^ _25042) ^ [_28231] : [105 ^ _25042 : [(106 ^ _25042) ^ [_28306] : [g_both(_28231, _28306)]], -(g_false_only(_28231, 107 ^ [_28231]))]]], (2 ^ _25042) ^ [_25184, _25186] : [g_true_only(_25186, _25184), 5 ^ _25042 : [(6 ^ _25042) ^ [] : [-(g_true(_25186, _25184))], (8 ^ _25042) ^ [] : [g_false(_25186, _25184)]]], (10 ^ _25042) ^ [_25422, _25424] : [-(g_true_only(_25424, _25422)), g_true(_25424, _25422), -(g_false(_25424, _25422))], (20 ^ _25042) ^ [_25755, _25757] : [g_both(_25757, _25755), 23 ^ _25042 : [(24 ^ _25042) ^ [] : [-(g_true(_25757, _25755))], (26 ^ _25042) ^ [] : [-(g_false(_25757, _25755))]]], (28 ^ _25042) ^ [_25992, _25994] : [-(g_both(_25994, _25992)), g_true(_25994, _25992), g_false(_25994, _25992)], (56 ^ _25042) ^ [_26844, _26846] : [-(g_true_only(_26846, _26844)), -(g_both(_26846, _26844)), -(g_false_only(_26846, _26844))], (38 ^ _25042) ^ [_26322, _26324] : [g_false_only(_26324, _26322), 41 ^ _25042 : [(42 ^ _25042) ^ [] : [-(g_false(_26324, _26322))], (44 ^ _25042) ^ [] : [g_true(_26324, _26322)]]], (46 ^ _25042) ^ [_26560, _26562] : [-(g_false_only(_26562, _26560)), g_false(_26562, _26560), -(g_true(_26562, _26560))]], input).
% 0.37/1.40 ncf('1',plain,[g_false_only(a, 95 ^ []), 70 : g_false_only(95 ^ [], 84 ^ [95 ^ []])],start(66 ^ 0,bind([[_27141, _27252], [95 ^ [], 84 ^ [95 ^ []]]]))).
% 0.37/1.40 ncf('1.1',plain,[-(g_false_only(a, 95 ^ [])), 79 : g_both(a, 71 ^ [a]), 79 : -(g_true_only(a, 71 ^ [a])), 92 : -(g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])), 112 : -(g_true_only(110 ^ [], 71 ^ [110 ^ []])), 106 : g_both(a, 71 ^ [a]), 106 : -(g_false_only(a, 107 ^ [a]))],extension(75 ^ 1,bind([[_27483, _27913, _28503, _28231, _28306], [71 ^ [a], 71 ^ [71 ^ [a]], 71 ^ [110 ^ []], a, 71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.1',plain,[-(g_both(a, 71 ^ [a])), -(g_true_only(a, 71 ^ [a])), -(g_false_only(a, 71 ^ [a]))],extension(56 ^ 6,bind([[_26844, _26846], [71 ^ [a], a]]))).
% 0.37/1.40 ncf('1.1.1.1',plain,[g_true_only(a, 71 ^ [a])],extension(73 ^ 7,bind([[_27375], [a]]))).
% 0.37/1.40 ncf('1.1.1.2',plain,[g_false_only(a, 71 ^ [a]), 70 : g_false_only(71 ^ [a], 84 ^ [71 ^ [a]])],extension(66 ^ 7,bind([[_27141, _27252], [71 ^ [a], 84 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.1.2.1',plain,[-(g_false_only(71 ^ [a], 84 ^ [71 ^ [a]])), 83 : g_both(71 ^ [a], 71 ^ [71 ^ [a]])],extension(81 ^ 10,bind([[_27680], [71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.1.2.1.1',plain,[-(g_both(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_false_only(71 ^ [a], 71 ^ [71 ^ [a]]))],extension(56 ^ 13,bind([[_26844, _26846], [71 ^ [71 ^ [a]], 71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.1.2.1.1.1',plain,[g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(73 ^ 14,bind([[_27375], [71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.1.2.1.1.2',plain,[g_false_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(70 ^ 14,bind([[_27252], [71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.2',plain,[g_true_only(a, 71 ^ [a])],extension(73 ^ 4,bind([[_27375], [a]]))).
% 0.37/1.40 ncf('1.1.3',plain,[g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(73 ^ 6,bind([[_27375], [71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.4',plain,[g_true_only(110 ^ [], 71 ^ [110 ^ []])],extension(73 ^ 4,bind([[_27375], [110 ^ []]]))).
% 0.37/1.40 ncf('1.1.5',plain,[-(g_both(a, 71 ^ [a])), -(g_true_only(a, 71 ^ [a])), -(g_false_only(a, 71 ^ [a]))],extension(56 ^ 6,bind([[_26844, _26846], [71 ^ [a], a]]))).
% 0.37/1.40 ncf('1.1.5.1',plain,[g_true_only(a, 71 ^ [a])],extension(73 ^ 7,bind([[_27375], [a]]))).
% 0.37/1.40 ncf('1.1.5.2',plain,[g_false_only(a, 71 ^ [a]), 70 : g_false_only(71 ^ [a], 107 ^ [71 ^ [a]])],extension(66 ^ 7,bind([[_27141, _27252], [71 ^ [a], 107 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.5.2.1',plain,[-(g_false_only(71 ^ [a], 107 ^ [71 ^ [a]])), 106 : g_both(71 ^ [a], 71 ^ [71 ^ [a]])],extension(104 ^ 10,bind([[_28231, _28306], [71 ^ [a], 71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.5.2.1.1',plain,[-(g_both(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_false_only(71 ^ [a], 71 ^ [71 ^ [a]]))],extension(56 ^ 13,bind([[_26844, _26846], [71 ^ [71 ^ [a]], 71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.5.2.1.1.1',plain,[g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(73 ^ 14,bind([[_27375], [71 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.5.2.1.1.2',plain,[g_false_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(70 ^ 14,bind([[_27252], [71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.6',plain,[g_false_only(a, 107 ^ [a]), 70 : g_false_only(107 ^ [a], 107 ^ [107 ^ [a]])],extension(66 ^ 4,bind([[_27141, _27252], [107 ^ [a], 107 ^ [107 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.6.1',plain,[-(g_false_only(107 ^ [a], 107 ^ [107 ^ [a]])), 106 : g_both(107 ^ [a], 71 ^ [107 ^ [a]])],extension(104 ^ 7,bind([[_28231, _28306], [107 ^ [a], 71 ^ [107 ^ [a]]]]))).
% 0.37/1.40 ncf('1.1.6.1.1',plain,[-(g_both(107 ^ [a], 71 ^ [107 ^ [a]])), -(g_true_only(107 ^ [a], 71 ^ [107 ^ [a]])), -(g_false_only(107 ^ [a], 71 ^ [107 ^ [a]]))],extension(56 ^ 10,bind([[_26844, _26846], [71 ^ [107 ^ [a]], 107 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.6.1.1.1',plain,[g_true_only(107 ^ [a], 71 ^ [107 ^ [a]])],extension(73 ^ 11,bind([[_27375], [107 ^ [a]]]))).
% 0.37/1.40 ncf('1.1.6.1.1.2',plain,[g_false_only(107 ^ [a], 71 ^ [107 ^ [a]])],extension(70 ^ 11,bind([[_27252], [71 ^ [107 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2',plain,[-(g_false_only(95 ^ [], 84 ^ [95 ^ []])), 83 : g_both(95 ^ [], 71 ^ [95 ^ []]), 81 : -(g_true_only(a, 95 ^ [])), 92 : -(g_true_only(95 ^ [], 71 ^ [95 ^ []])), 100 : -(g_false_only(95 ^ [], 98 ^ [])), 112 : -(g_true_only(110 ^ [], 71 ^ [110 ^ []])), 106 : g_both(a, 71 ^ [a]), 106 : -(g_false_only(a, 107 ^ [a]))],extension(75 ^ 3,bind([[_27483, _27680, _27913, _28503, _28231, _28306], [95 ^ [], 71 ^ [95 ^ []], 71 ^ [95 ^ []], 71 ^ [110 ^ []], a, 71 ^ [a]]]))).
% 0.37/1.40 ncf('1.2.1',plain,[-(g_both(95 ^ [], 71 ^ [95 ^ []])), -(g_true_only(95 ^ [], 71 ^ [95 ^ []])), -(g_false_only(95 ^ [], 71 ^ [95 ^ []]))],extension(56 ^ 10,bind([[_26844, _26846], [71 ^ [95 ^ []], 95 ^ []]]))).
% 0.37/1.40 ncf('1.2.1.1',plain,[g_true_only(95 ^ [], 71 ^ [95 ^ []])],extension(73 ^ 11,bind([[_27375], [95 ^ []]]))).
% 0.37/1.40 ncf('1.2.1.2',plain,[g_false_only(95 ^ [], 71 ^ [95 ^ []])],extension(70 ^ 11,bind([[_27252], [71 ^ [95 ^ []]]]))).
% 0.37/1.40 ncf('1.2.2',plain,[g_true_only(a, 95 ^ []), 6 : -(g_true(a, 95 ^ []))],extension(2 ^ 6,bind([[_25184, _25186], [95 ^ [], a]]))).
% 0.37/1.40 ncf('1.2.2.1',plain,[g_true(a, 95 ^ []), -(g_both(a, 95 ^ [])), g_false(a, 95 ^ [])],extension(28 ^ 9,bind([[_25992, _25994], [95 ^ [], a]]))).
% 0.37/1.40 ncf('1.2.2.1.1',plain,[g_both(a, 95 ^ []), 26 : -(g_false(a, 95 ^ []))],extension(20 ^ 10,bind([[_25755, _25757], [95 ^ [], a]]))).
% 0.37/1.40 ncf('1.2.2.1.1.1',plain,[g_false(a, 95 ^ [])],extension(8 ^ 13)).
% 0.37/1.40 ncf('1.2.2.1.2',plain,[-(g_false(a, 95 ^ [])), g_false_only(a, 95 ^ [])],extension(38 ^ 10,bind([[_26322, _26324], [95 ^ [], a]]))).
% 0.37/1.40 ncf('1.2.2.1.2.1',plain,[-(g_false_only(a, 95 ^ []))],lemmata('x')).
% 0.37/1.40 ncf('1.2.3',plain,[g_true_only(95 ^ [], 71 ^ [95 ^ []])],extension(73 ^ 8,bind([[_27375], [95 ^ []]]))).
% 0.37/1.40 ncf('1.2.4',plain,[g_false_only(95 ^ [], 98 ^ [])],extension(70 ^ 6,bind([[_27252], [98 ^ []]]))).
% 0.37/1.40 ncf('1.2.5',plain,[g_true_only(110 ^ [], 71 ^ [110 ^ []])],extension(73 ^ 6,bind([[_27375], [110 ^ []]]))).
% 0.37/1.40 ncf('1.2.6',plain,[-(g_both(a, 71 ^ [a])), -(g_true_only(a, 71 ^ [a])), -(g_false_only(a, 71 ^ [a]))],extension(56 ^ 8,bind([[_26844, _26846], [71 ^ [a], a]]))).
% 0.37/1.40 ncf('1.2.6.1',plain,[g_true_only(a, 71 ^ [a])],extension(73 ^ 9,bind([[_27375], [a]]))).
% 0.37/1.40 ncf('1.2.6.2',plain,[g_false_only(a, 71 ^ [a]), 70 : g_false_only(71 ^ [a], 107 ^ [71 ^ [a]])],extension(66 ^ 9,bind([[_27141, _27252], [71 ^ [a], 107 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2.6.2.1',plain,[-(g_false_only(71 ^ [a], 107 ^ [71 ^ [a]])), 106 : g_both(71 ^ [a], 71 ^ [71 ^ [a]])],extension(104 ^ 12,bind([[_28231, _28306], [71 ^ [a], 71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2.6.2.1.1',plain,[-(g_both(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])), -(g_false_only(71 ^ [a], 71 ^ [71 ^ [a]]))],extension(56 ^ 15,bind([[_26844, _26846], [71 ^ [71 ^ [a]], 71 ^ [a]]]))).
% 0.37/1.40 ncf('1.2.6.2.1.1.1',plain,[g_true_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(73 ^ 16,bind([[_27375], [71 ^ [a]]]))).
% 0.37/1.40 ncf('1.2.6.2.1.1.2',plain,[g_false_only(71 ^ [a], 71 ^ [71 ^ [a]])],extension(70 ^ 16,bind([[_27252], [71 ^ [71 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2.7',plain,[g_false_only(a, 107 ^ [a]), 70 : g_false_only(107 ^ [a], 107 ^ [107 ^ [a]])],extension(66 ^ 6,bind([[_27141, _27252], [107 ^ [a], 107 ^ [107 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2.7.1',plain,[-(g_false_only(107 ^ [a], 107 ^ [107 ^ [a]])), 106 : g_both(107 ^ [a], 71 ^ [107 ^ [a]])],extension(104 ^ 9,bind([[_28231, _28306], [107 ^ [a], 71 ^ [107 ^ [a]]]]))).
% 0.37/1.40 ncf('1.2.7.1.1',plain,[-(g_both(107 ^ [a], 71 ^ [107 ^ [a]])), -(g_true_only(107 ^ [a], 71 ^ [107 ^ [a]])), -(g_false_only(107 ^ [a], 71 ^ [107 ^ [a]]))],extension(56 ^ 12,bind([[_26844, _26846], [71 ^ [107 ^ [a]], 107 ^ [a]]]))).
% 0.37/1.40 ncf('1.2.7.1.1.1',plain,[g_true_only(107 ^ [a], 71 ^ [107 ^ [a]])],extension(73 ^ 13,bind([[_27375], [107 ^ [a]]]))).
% 0.37/1.40 ncf('1.2.7.1.1.2',plain,[g_false_only(107 ^ [a], 71 ^ [107 ^ [a]])],extension(70 ^ 13,bind([[_27252], [71 ^ [107 ^ [a]]]]))).
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------