TSTP Solution File: LCL640+1.001 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : LCL640+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 11:33:34 EDT 2023
% Result : Theorem 44.84s 43.80s
% Output : Proof 44.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL640+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 16:01:21 EDT 2023
% 0.11/0.33 % CPUTime :
% 44.84/43.80
% 44.84/43.80 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.84/43.80 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.84/43.80 %-----------------------------------------------------
% 44.84/43.80 ncf(matrix, plain, [(176 ^ _83876) ^ [] : [p1(172 ^ [])], (187 ^ _83876) ^ [_91070] : [r1(169 ^ [], _91070), -(p1(_91070)), 195 ^ _83876 : [(199 ^ _83876) ^ [] : [-(r1(194 ^ [_91070], 197 ^ [_91070]))], (201 ^ _83876) ^ [] : [p1(197 ^ [_91070])], (203 ^ _83876) ^ [] : [-(p1(194 ^ [_91070]))], (196 ^ _83876) ^ [] : [-(r1(_91070, 194 ^ [_91070]))]]], (3 ^ _83876) ^ [_83955] : [r1(1 ^ [], _83955), 6 ^ _83876 : [(72 ^ _83876) ^ [] : [-(p1(_83955)), 77 ^ _83876 : [(78 ^ _83876) ^ [_87045] : [r1(_83955, _87045), 82 ^ _83876 : [(85 ^ _83876) ^ [] : [p1(81 ^ [_83955, _87045])], (83 ^ _83876) ^ [] : [-(r1(_87045, 81 ^ [_83955, _87045]))]]]], 87 ^ _83876 : [(92 ^ _83876) ^ [_87596] : [r1(86 ^ [_83955], _87596), p1(_87596), 97 ^ _83876 : [(98 ^ _83876) ^ [_87789] : [r1(_87596, _87789), -(p1(_87789))]]], (90 ^ _83876) ^ [] : [p1(86 ^ [_83955])], (88 ^ _83876) ^ [] : [-(r1(_83955, 86 ^ [_83955]))]]], (106 ^ _83876) ^ [_88062] : [r1(_83955, _88062), 122 ^ _83876 : [(125 ^ _83876) ^ [] : [p1(121 ^ [_83955, _88062])], (123 ^ _83876) ^ [] : [-(r1(_88062, 121 ^ [_83955, _88062]))]], 111 ^ _83876 : [(112 ^ _83876) ^ [_88271] : [r1(_88062, _88271), 115 ^ _83876 : [(116 ^ _83876) ^ [_88419] : [r1(_88271, _88419), -(p1(_88419))]]]]], (127 ^ _83876) ^ [] : [128 ^ _83876 : [(129 ^ _83876) ^ [_88838] : [r1(_83955, _88838), 132 ^ _83876 : [(133 ^ _83876) ^ [_89020] : [r1(_88838, _89020), -(p1(_89020)), 141 ^ _83876 : [(145 ^ _83876) ^ [] : [-(r1(140 ^ [_83955, _88838, _89020], 143 ^ [_83955, _88838, _89020]))], (147 ^ _83876) ^ [] : [p1(143 ^ [_83955, _88838, _89020])], (149 ^ _83876) ^ [] : [-(p1(140 ^ [_83955, _88838, _89020]))], (142 ^ _83876) ^ [] : [-(r1(_89020, 140 ^ [_83955, _88838, _89020]))]]]]]], 151 ^ _83876 : [(156 ^ _83876) ^ [_89959] : [r1(150 ^ [_83955], _89959), p1(_89959), 161 ^ _83876 : [(162 ^ _83876) ^ [_90152] : [r1(_89959, _90152), -(p1(_90152))]]], (154 ^ _83876) ^ [] : [p1(150 ^ [_83955])], (152 ^ _83876) ^ [] : [-(r1(_83955, 150 ^ [_83955]))]]], (7 ^ _83876) ^ [] : [8 ^ _83876 : [(9 ^ _83876) ^ [_84616] : [r1(_83955, _84616), -(p1(_84616))]], p1(_83955), 20 ^ _83876 : [(21 ^ _83876) ^ [_84900] : [r1(_83955, _84900), 25 ^ _83876 : [(29 ^ _83876) ^ [] : [-(r1(24 ^ [_83955, _84900], 27 ^ [_83955, _84900]))], (31 ^ _83876) ^ [] : [p1(27 ^ [_83955, _84900])], (33 ^ _83876) ^ [] : [-(p1(24 ^ [_83955, _84900]))], (26 ^ _83876) ^ [] : [-(r1(_84900, 24 ^ [_83955, _84900]))]]]], 35 ^ _83876 : [(36 ^ _83876) ^ [] : [-(r1(_83955, 34 ^ [_83955]))], (41 ^ _83876) ^ [] : [p1(37 ^ [_83955])], (45 ^ _83876) ^ [_85965] : [r1(34 ^ [_83955], _85965), 65 ^ _83876 : [(70 ^ _83876) ^ [] : [-(p1(_85965))], (68 ^ _83876) ^ [] : [p1(64 ^ [_83955, _85965])], (66 ^ _83876) ^ [] : [-(r1(_85965, 64 ^ [_83955, _85965]))]], 50 ^ _83876 : [(51 ^ _83876) ^ [_86198] : [r1(_85965, _86198), p1(_86198), 56 ^ _83876 : [(57 ^ _83876) ^ [_86389] : [r1(_86198, _86389), -(p1(_86389))]]]]], (43 ^ _83876) ^ [] : [-(p1(34 ^ [_83955]))], (39 ^ _83876) ^ [] : [-(r1(34 ^ [_83955], 37 ^ [_83955]))]]]]], (179 ^ _83876) ^ [] : [-(r1(169 ^ [], 177 ^ []))], (171 ^ _83876) ^ [] : [-(r1(1 ^ [], 169 ^ []))], (174 ^ _83876) ^ [] : [-(r1(169 ^ [], 172 ^ []))], (181 ^ _83876) ^ [_90898] : [r1(177 ^ [], _90898), -(p1(_90898))]], input).
% 44.84/43.80 ncf('1',plain,[p1(172 ^ [])],start(176 ^ 0)).
% 44.84/43.80 ncf('1.1',plain,[-(p1(172 ^ [])), 9 : r1(169 ^ [], 172 ^ []), 9 : p1(169 ^ []), 21 : r1(169 ^ [], 177 ^ []), 29 : -(r1(24 ^ [169 ^ [], 177 ^ []], 27 ^ [169 ^ [], 177 ^ []])), 36 : -(r1(169 ^ [], 34 ^ [169 ^ []])), 7 : r1(1 ^ [], 169 ^ [])],extension(3 ^ 1,bind([[_83955, _84616, _84900], [169 ^ [], 172 ^ [], 177 ^ []]]))).
% 44.84/43.80 ncf('1.1.1',plain,[-(r1(169 ^ [], 172 ^ []))],extension(174 ^ 6)).
% 44.84/43.80 ncf('1.1.2',plain,[-(p1(169 ^ [])), 78 : r1(169 ^ [], 177 ^ []), 85 : p1(81 ^ [169 ^ [], 177 ^ []]), 92 : r1(86 ^ [169 ^ []], 194 ^ [86 ^ [169 ^ []]]), 92 : p1(194 ^ [86 ^ [169 ^ []]]), 98 : r1(194 ^ [86 ^ [169 ^ []]], 197 ^ [86 ^ [169 ^ []]]), 98 : -(p1(197 ^ [86 ^ [169 ^ []]]))],extension(72 ^ 4,bind([[_87045, _87596, _87789], [177 ^ [], 194 ^ [86 ^ [169 ^ []]], 197 ^ [86 ^ [169 ^ []]]]]))).
% 44.84/43.80 ncf('1.1.2.1',plain,[-(r1(169 ^ [], 177 ^ []))],extension(179 ^ 7)).
% 44.84/43.80 ncf('1.1.2.2',plain,[-(p1(81 ^ [169 ^ [], 177 ^ []])), r1(177 ^ [], 81 ^ [169 ^ [], 177 ^ []])],extension(181 ^ 9,bind([[_90898], [81 ^ [169 ^ [], 177 ^ []]]]))).
% 44.84/43.80 ncf('1.1.2.2.1',plain,[-(r1(177 ^ [], 81 ^ [169 ^ [], 177 ^ []]))],extension(83 ^ 10)).
% 44.84/43.80 ncf('1.1.2.3',plain,[-(r1(86 ^ [169 ^ []], 194 ^ [86 ^ [169 ^ []]])), r1(169 ^ [], 86 ^ [169 ^ []]), -(p1(86 ^ [169 ^ []]))],extension(187 ^ 7,bind([[_91070], [86 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.2.3.1',plain,[-(r1(169 ^ [], 86 ^ [169 ^ []]))],extension(88 ^ 8)).
% 44.84/43.80 ncf('1.1.2.3.2',plain,[p1(86 ^ [169 ^ []])],extension(90 ^ 8)).
% 44.84/43.80 ncf('1.1.2.4',plain,[-(p1(194 ^ [86 ^ [169 ^ []]])), r1(169 ^ [], 86 ^ [169 ^ []]), -(p1(86 ^ [169 ^ []]))],extension(187 ^ 7,bind([[_91070], [86 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.2.4.1',plain,[-(r1(169 ^ [], 86 ^ [169 ^ []]))],extension(88 ^ 8)).
% 44.84/43.80 ncf('1.1.2.4.2',plain,[p1(86 ^ [169 ^ []])],extension(90 ^ 8)).
% 44.84/43.80 ncf('1.1.2.5',plain,[-(r1(194 ^ [86 ^ [169 ^ []]], 197 ^ [86 ^ [169 ^ []]])), r1(169 ^ [], 86 ^ [169 ^ []]), -(p1(86 ^ [169 ^ []]))],extension(187 ^ 9,bind([[_91070], [86 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.2.5.1',plain,[-(r1(169 ^ [], 86 ^ [169 ^ []]))],extension(88 ^ 10)).
% 44.84/43.80 ncf('1.1.2.5.2',plain,[p1(86 ^ [169 ^ []])],extension(90 ^ 10)).
% 44.84/43.80 ncf('1.1.2.6',plain,[p1(197 ^ [86 ^ [169 ^ []]]), r1(169 ^ [], 86 ^ [169 ^ []]), -(p1(86 ^ [169 ^ []]))],extension(187 ^ 9,bind([[_91070], [86 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.2.6.1',plain,[-(r1(169 ^ [], 86 ^ [169 ^ []]))],extension(88 ^ 10)).
% 44.84/43.80 ncf('1.1.2.6.2',plain,[p1(86 ^ [169 ^ []])],extension(90 ^ 10)).
% 44.84/43.80 ncf('1.1.3',plain,[-(r1(169 ^ [], 177 ^ []))],extension(179 ^ 6)).
% 44.84/43.80 ncf('1.1.4',plain,[r1(24 ^ [169 ^ [], 177 ^ []], 27 ^ [169 ^ [], 177 ^ []]), 116 : -(p1(27 ^ [169 ^ [], 177 ^ []])), 116 : r1(177 ^ [], 24 ^ [169 ^ [], 177 ^ []]), 112 : r1(169 ^ [], 177 ^ []), 125 : p1(121 ^ [169 ^ [], 177 ^ []])],extension(106 ^ 8,bind([[_88062, _88271, _88419], [177 ^ [], 24 ^ [169 ^ [], 177 ^ []], 27 ^ [169 ^ [], 177 ^ []]]]))).
% 44.84/43.80 ncf('1.1.4.1',plain,[p1(27 ^ [169 ^ [], 177 ^ []])],extension(31 ^ 13)).
% 44.84/43.80 ncf('1.1.4.2',plain,[-(r1(177 ^ [], 24 ^ [169 ^ [], 177 ^ []]))],extension(26 ^ 11)).
% 44.84/43.80 ncf('1.1.4.3',plain,[-(r1(169 ^ [], 177 ^ []))],lemmata('[1].x')).
% 44.84/43.80 ncf('1.1.4.4',plain,[-(p1(121 ^ [169 ^ [], 177 ^ []])), r1(177 ^ [], 121 ^ [169 ^ [], 177 ^ []])],extension(181 ^ 11,bind([[_90898], [121 ^ [169 ^ [], 177 ^ []]]]))).
% 44.84/43.80 ncf('1.1.4.4.1',plain,[-(r1(177 ^ [], 121 ^ [169 ^ [], 177 ^ []]))],extension(123 ^ 12)).
% 44.84/43.80 ncf('1.1.5',plain,[r1(169 ^ [], 34 ^ [169 ^ []]), 133 : r1(34 ^ [169 ^ []], 37 ^ [169 ^ []]), 133 : -(p1(37 ^ [169 ^ []])), 145 : -(r1(140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]], 143 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]])), 156 : r1(150 ^ [169 ^ []], 194 ^ [150 ^ [169 ^ []]]), 156 : p1(194 ^ [150 ^ [169 ^ []]]), 162 : r1(194 ^ [150 ^ [169 ^ []]], 197 ^ [150 ^ [169 ^ []]]), 162 : -(p1(197 ^ [150 ^ [169 ^ []]]))],extension(127 ^ 6,bind([[_88838, _89020, _89959, _90152], [34 ^ [169 ^ []], 37 ^ [169 ^ []], 194 ^ [150 ^ [169 ^ []]], 197 ^ [150 ^ [169 ^ []]]]]))).
% 44.84/43.80 ncf('1.1.5.1',plain,[-(r1(34 ^ [169 ^ []], 37 ^ [169 ^ []]))],extension(39 ^ 11)).
% 44.84/43.80 ncf('1.1.5.2',plain,[p1(37 ^ [169 ^ []])],extension(41 ^ 11)).
% 44.84/43.80 ncf('1.1.5.3',plain,[r1(140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]], 143 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]), 57 : -(p1(143 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]])), 57 : r1(37 ^ [169 ^ []], 140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]), 57 : p1(140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]), 51 : r1(34 ^ [169 ^ []], 37 ^ [169 ^ []]), 70 : -(p1(37 ^ [169 ^ []]))],extension(45 ^ 13,bind([[_85965, _86198, _86389], [37 ^ [169 ^ []], 140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]], 143 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]]]))).
% 44.84/43.80 ncf('1.1.5.3.1',plain,[p1(143 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]])],extension(147 ^ 18)).
% 44.84/43.80 ncf('1.1.5.3.2',plain,[-(r1(37 ^ [169 ^ []], 140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]))],extension(142 ^ 16)).
% 44.84/43.80 ncf('1.1.5.3.3',plain,[-(p1(140 ^ [169 ^ [], 34 ^ [169 ^ []], 37 ^ [169 ^ []]]))],extension(149 ^ 16)).
% 44.84/43.80 ncf('1.1.5.3.4',plain,[-(r1(34 ^ [169 ^ []], 37 ^ [169 ^ []]))],lemmata('[1, 1].x')).
% 44.84/43.80 ncf('1.1.5.3.5',plain,[p1(37 ^ [169 ^ []])],lemmata('[1, 1].x')).
% 44.84/43.80 ncf('1.1.5.4',plain,[-(r1(150 ^ [169 ^ []], 194 ^ [150 ^ [169 ^ []]])), r1(169 ^ [], 150 ^ [169 ^ []]), -(p1(150 ^ [169 ^ []]))],extension(187 ^ 9,bind([[_91070], [150 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.5.4.1',plain,[-(r1(169 ^ [], 150 ^ [169 ^ []]))],extension(152 ^ 10)).
% 44.84/43.80 ncf('1.1.5.4.2',plain,[p1(150 ^ [169 ^ []])],extension(154 ^ 10)).
% 44.84/43.80 ncf('1.1.5.5',plain,[-(p1(194 ^ [150 ^ [169 ^ []]])), r1(169 ^ [], 150 ^ [169 ^ []]), -(p1(150 ^ [169 ^ []]))],extension(187 ^ 9,bind([[_91070], [150 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.5.5.1',plain,[-(r1(169 ^ [], 150 ^ [169 ^ []]))],extension(152 ^ 10)).
% 44.84/43.80 ncf('1.1.5.5.2',plain,[p1(150 ^ [169 ^ []])],extension(154 ^ 10)).
% 44.84/43.80 ncf('1.1.5.6',plain,[-(r1(194 ^ [150 ^ [169 ^ []]], 197 ^ [150 ^ [169 ^ []]])), r1(169 ^ [], 150 ^ [169 ^ []]), -(p1(150 ^ [169 ^ []]))],extension(187 ^ 11,bind([[_91070], [150 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.5.6.1',plain,[-(r1(169 ^ [], 150 ^ [169 ^ []]))],extension(152 ^ 12)).
% 44.84/43.80 ncf('1.1.5.6.2',plain,[p1(150 ^ [169 ^ []])],extension(154 ^ 12)).
% 44.84/43.80 ncf('1.1.5.7',plain,[p1(197 ^ [150 ^ [169 ^ []]]), r1(169 ^ [], 150 ^ [169 ^ []]), -(p1(150 ^ [169 ^ []]))],extension(187 ^ 11,bind([[_91070], [150 ^ [169 ^ []]]]))).
% 44.84/43.80 ncf('1.1.5.7.1',plain,[-(r1(169 ^ [], 150 ^ [169 ^ []]))],extension(152 ^ 12)).
% 44.84/43.80 ncf('1.1.5.7.2',plain,[p1(150 ^ [169 ^ []])],extension(154 ^ 12)).
% 44.84/43.80 ncf('1.1.6',plain,[-(r1(1 ^ [], 169 ^ []))],extension(171 ^ 2)).
% 44.84/43.80 %-----------------------------------------------------
% 44.84/43.80 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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