TSTP Solution File: SET975+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET975+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 11:56:45 EDT 2023
% Result : Theorem 0.29s 1.38s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET975+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 19:07:24 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.29/1.38
% 0.29/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.29/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.38 %-----------------------------------------------------
% 0.29/1.38 ncf(matrix, plain, [(151 ^ _27643) ^ [] : [160 ^ _27643 : [(161 ^ _27643) ^ [] : [-(146 ^ [] = 148 ^ [])], (163 ^ _27643) ^ [] : [-(in(147 ^ [], 149 ^ []))], (165 ^ _27643) ^ [] : [in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ []))]], 152 ^ _27643 : [(153 ^ _27643) ^ [] : [-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ [])))], (155 ^ _27643) ^ [] : [146 ^ [] = 148 ^ [], in(147 ^ [], 149 ^ [])]]], (80 ^ _27643) ^ [_30427, _30429] : [in(_30429, _30427), in(_30427, _30429)], (86 ^ _27643) ^ [_30623, _30625] : [-(unordered_pair(_30625, _30623) = unordered_pair(_30623, _30625))], (119 ^ _27643) ^ [_31809, _31811] : [-(ordered_pair(_31811, _31809) = unordered_pair(unordered_pair(_31811, _31809), singleton(_31811)))], (121 ^ _27643) ^ [_31913, _31915] : [empty(ordered_pair(_31915, _31913))], (142 ^ _27643) ^ [] : [-(empty(140 ^ []))], (145 ^ _27643) ^ [] : [empty(143 ^ [])], (123 ^ _27643) ^ [_32081, _32083, _32085, _32087] : [in(ordered_pair(_32087, _32085), cartesian_product2(_32083, _32081)), 126 ^ _27643 : [(127 ^ _27643) ^ [] : [-(in(_32087, _32083))], (129 ^ _27643) ^ [] : [-(in(_32085, _32081))]]], (131 ^ _27643) ^ [_32346, _32348, _32350, _32352] : [-(in(ordered_pair(_32352, _32350), cartesian_product2(_32348, _32346))), in(_32352, _32348), in(_32350, _32346)], (104 ^ _27643) ^ [_31288, _31290] : [-(_31288 = singleton(_31290)), 108 ^ _27643 : [(109 ^ _27643) ^ [] : [-(in(105 ^ [_31288, _31290], _31288))], (111 ^ _27643) ^ [] : [105 ^ [_31288, _31290] = _31290]], 112 ^ _27643 : [(113 ^ _27643) ^ [] : [-(105 ^ [_31288, _31290] = _31290)], (115 ^ _27643) ^ [] : [in(105 ^ [_31288, _31290], _31288)]]], (88 ^ _27643) ^ [_30767, _30769] : [_30767 = singleton(_30769), 91 ^ _27643 : [(92 ^ _27643) ^ [_30937] : [in(_30937, _30767), -(_30937 = _30769)], (98 ^ _27643) ^ [_31109] : [_31109 = _30769, -(in(_31109, _30767))]]], (44 ^ _27643) ^ [_29166, _29168, _29170, _29172] : [-(unordered_pair(_29172, _29168) = unordered_pair(_29170, _29166)), _29172 = _29170, _29168 = _29166], (54 ^ _27643) ^ [_29525, _29527, _29529, _29531] : [-(ordered_pair(_29531, _29527) = ordered_pair(_29529, _29525)), _29531 = _29529, _29527 = _29525], (74 ^ _27643) ^ [_30195, _30197] : [_30197 = _30195, -(singleton(_30197) = singleton(_30195))], (64 ^ _27643) ^ [_29884, _29886, _29888, _29890] : [-(cartesian_product2(_29890, _29886) = cartesian_product2(_29888, _29884)), _29890 = _29888, _29886 = _29884], (2 ^ _27643) ^ [_27787] : [-(_27787 = _27787)], (4 ^ _27643) ^ [_27894, _27896] : [_27896 = _27894, -(_27894 = _27896)], (10 ^ _27643) ^ [_28098, _28100, _28102] : [-(_28102 = _28098), _28102 = _28100, _28100 = _28098], (20 ^ _27643) ^ [_28411, _28413] : [-(empty(_28411)), _28413 = _28411, empty(_28413)], (30 ^ _27643) ^ [_28714, _28716, _28718, _28720] : [-(in(_28718, _28714)), in(_28720, _28716), _28720 = _28718, _28716 = _28714]], input).
% 0.29/1.38 ncf('1',plain,[165 : in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ [])), 155 : 146 ^ [] = 148 ^ [], 155 : in(147 ^ [], 149 ^ [])],start(151 ^ 0)).
% 0.29/1.38 ncf('1.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ []))), in(146 ^ [], singleton(148 ^ [])), in(147 ^ [], 149 ^ [])],extension(131 ^ 3,bind([[_32346, _32348, _32350, _32352], [149 ^ [], singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.29/1.38 ncf('1.1.1',plain,[-(in(146 ^ [], singleton(148 ^ []))), 98 : 146 ^ [] = 148 ^ [], 98 : singleton(148 ^ []) = singleton(148 ^ [])],extension(88 ^ 4,bind([[_30767, _30769, _31109], [singleton(148 ^ []), 148 ^ [], 146 ^ []]]))).
% 0.29/1.38 ncf('1.1.1.1',plain,[-(146 ^ [] = 148 ^ [])],extension(161 ^ 7)).
% 0.29/1.38 ncf('1.1.1.2',plain,[-(singleton(148 ^ []) = singleton(148 ^ []))],extension(2 ^ 5,bind([[_27787], [singleton(148 ^ [])]]))).
% 0.29/1.38 ncf('1.1.2',plain,[-(in(147 ^ [], 149 ^ []))],extension(163 ^ 4)).
% 0.29/1.38 ncf('1.2',plain,[-(146 ^ [] = 148 ^ []), 92 : in(146 ^ [], singleton(148 ^ [])), 92 : singleton(148 ^ []) = singleton(148 ^ [])],extension(88 ^ 3,bind([[_30767, _30769, _30937], [singleton(148 ^ []), 148 ^ [], 146 ^ []]]))).
% 0.29/1.38 ncf('1.2.1',plain,[-(in(146 ^ [], singleton(148 ^ []))), in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ []))],extension(123 ^ 6,bind([[_32081, _32083, _32085, _32087], [149 ^ [], singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.29/1.38 ncf('1.2.1.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ [])))],extension(153 ^ 7)).
% 0.29/1.38 ncf('1.2.2',plain,[-(singleton(148 ^ []) = singleton(148 ^ [])), 148 ^ [] = 148 ^ []],extension(74 ^ 4,bind([[_30195, _30197], [148 ^ [], 148 ^ []]]))).
% 0.29/1.38 ncf('1.2.2.1',plain,[-(148 ^ [] = 148 ^ [])],extension(2 ^ 5,bind([[_27787], [148 ^ []]]))).
% 0.29/1.38 ncf('1.3',plain,[-(in(147 ^ [], 149 ^ [])), in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ []))],extension(123 ^ 3,bind([[_32081, _32083, _32085, _32087], [149 ^ [], singleton(148 ^ []), 147 ^ [], 146 ^ []]]))).
% 0.29/1.38 ncf('1.3.1',plain,[-(in(ordered_pair(146 ^ [], 147 ^ []), cartesian_product2(singleton(148 ^ []), 149 ^ [])))],extension(153 ^ 4)).
% 0.29/1.38 %-----------------------------------------------------
% 0.29/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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