TSTP Solution File: SET143+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 11:55:28 EDT 2023
% Result : Theorem 0.78s 1.38s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:03:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.78/1.38
% 0.78/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.78/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/1.38 %-----------------------------------------------------
% 0.78/1.38 ncf(matrix, plain, [(151 ^ _24237) ^ [] : [intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []) = intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))], (48 ^ _24237) ^ [_25889, _25891, _25893, _25895] : [-(intersection(_25895, _25891) = intersection(_25893, _25889)), _25895 = _25893, _25891 = _25889], (2 ^ _24237) ^ [_24381] : [-(_24381 = _24381)], (4 ^ _24237) ^ [_24488, _24490] : [_24490 = _24488, -(_24488 = _24490)], (10 ^ _24237) ^ [_24692, _24694, _24696] : [-(_24696 = _24692), _24696 = _24694, _24694 = _24692], (20 ^ _24237) ^ [_25033, _25035, _25037, _25039] : [-(subset(_25037, _25033)), subset(_25039, _25035), _25039 = _25037, _25035 = _25033], (34 ^ _24237) ^ [_25457, _25459, _25461, _25463] : [-(member(_25461, _25457)), member(_25463, _25459), _25463 = _25461, _25459 = _25457], (58 ^ _24237) ^ [_26265, _26267, _26269] : [member(_26265, intersection(_26269, _26267)), 61 ^ _24237 : [(62 ^ _24237) ^ [] : [-(member(_26265, _26269))], (64 ^ _24237) ^ [] : [-(member(_26265, _26267))]]], (66 ^ _24237) ^ [_26516, _26518, _26520] : [-(member(_26516, intersection(_26520, _26518))), member(_26516, _26520), member(_26516, _26518)], (76 ^ _24237) ^ [_26862, _26864] : [_26864 = _26862, 79 ^ _24237 : [(80 ^ _24237) ^ [] : [-(subset(_26864, _26862))], (82 ^ _24237) ^ [] : [-(subset(_26862, _26864))]]], (84 ^ _24237) ^ [_27099, _27101] : [-(_27101 = _27099), subset(_27101, _27099), subset(_27099, _27101)], (94 ^ _24237) ^ [_27385, _27387] : [-(intersection(_27387, _27385) = intersection(_27385, _27387))], (106 ^ _24237) ^ [_27843, _27845] : [108 ^ _24237 : [(109 ^ _24237) ^ [] : [-(member(107 ^ [_27843, _27845], _27845))], (111 ^ _24237) ^ [] : [member(107 ^ [_27843, _27845], _27843)]], -(subset(_27845, _27843))], (96 ^ _24237) ^ [_27529, _27531] : [subset(_27531, _27529), 99 ^ _24237 : [(100 ^ _24237) ^ [_27666] : [member(_27666, _27531), -(member(_27666, _27529))]]], (115 ^ _24237) ^ [_28171] : [-(subset(_28171, _28171))], (133 ^ _24237) ^ [_28804, _28806] : [-(_28806 = _28804), 137 ^ _24237 : [(138 ^ _24237) ^ [] : [-(member(134 ^ [_28804, _28806], _28806))], (140 ^ _24237) ^ [] : [member(134 ^ [_28804, _28806], _28804)]], 141 ^ _24237 : [(142 ^ _24237) ^ [] : [-(member(134 ^ [_28804, _28806], _28804))], (144 ^ _24237) ^ [] : [member(134 ^ [_28804, _28806], _28806)]]], (117 ^ _24237) ^ [_28287, _28289] : [_28289 = _28287, 120 ^ _24237 : [(121 ^ _24237) ^ [_28453] : [member(_28453, _28289), -(member(_28453, _28287))], (127 ^ _24237) ^ [_28625] : [member(_28625, _28287), -(member(_28625, _28289))]]]], input).
% 0.78/1.38 ncf('1',plain,[intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []) = intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))],start(151 ^ 0)).
% 0.78/1.38 ncf('1.1',plain,[-(intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []) = intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))), 138 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []))), 142 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))))],extension(133 ^ 1,bind([[_28804, _28806], [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])]]))).
% 0.78/1.38 ncf('1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])), 62 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], 148 ^ [])))],extension(58 ^ 4,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], intersection(147 ^ [], 148 ^ [])]]))).
% 0.78/1.38 ncf('1.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], 148 ^ [])), 62 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []))],extension(58 ^ 7,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.78/1.38 ncf('1.1.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []), -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])))), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ []))],extension(66 ^ 10,bind([[_26516, _26518, _26520], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.78/1.38 ncf('1.1.1.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))), -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])))), 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])) = intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))],extension(34 ^ 11,bind([[_25457, _25459, _25461, _25463], [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.78/1.38 ncf('1.1.1.1.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])))],extension(140 ^ 12)).
% 0.78/1.38 ncf('1.1.1.1.1.1.2',plain,[-(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 12,bind([[_24381], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.78/1.38 ncf('1.1.1.1.1.1.3',plain,[-(intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])) = intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])))],extension(2 ^ 12,bind([[_24381], [intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))]]))).
% 0.78/1.38 ncf('1.1.1.1.1.2',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ []))), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [])],extension(66 ^ 11,bind([[_26516, _26518, _26520], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], 148 ^ []]]))).
% 0.78/1.38 ncf('1.1.1.1.1.2.1',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []))],extension(64 ^ 12)).
% 0.78/1.38 ncf('1.1.1.1.1.2.2',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [])), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []))],extension(58 ^ 12,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], intersection(147 ^ [], 148 ^ [])]]))).
% 0.78/1.38 ncf('1.1.1.1.1.2.2.1',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])))],reduction('1.1')).
% 0.78/1.38 ncf('1.1.2',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))), 64 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ [])))],extension(58 ^ 4,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ [])), 64 : -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []))],extension(58 ^ 7,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], 148 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []), -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(149 ^ [], intersection(147 ^ [], 148 ^ [])))), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], 148 ^ []))],extension(66 ^ 10,bind([[_26516, _26518, _26520], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], 148 ^ []), 149 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(149 ^ [], intersection(147 ^ [], 148 ^ []))), -(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []))), 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(149 ^ [], intersection(147 ^ [], 148 ^ [])) = intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])],extension(34 ^ 11,bind([[_25457, _25459, _25461, _25463], [intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []), intersection(149 ^ [], intersection(147 ^ [], 148 ^ [])), 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.78/1.38 ncf('1.1.2.1.1.1.1',plain,[member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []))],extension(144 ^ 12)).
% 0.78/1.38 ncf('1.1.2.1.1.1.2',plain,[-(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 12,bind([[_24381], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.78/1.38 ncf('1.1.2.1.1.1.3',plain,[-(intersection(149 ^ [], intersection(147 ^ [], 148 ^ [])) = intersection(intersection(147 ^ [], 148 ^ []), 149 ^ []))],extension(94 ^ 12,bind([[_27385, _27387], [intersection(147 ^ [], 148 ^ []), 149 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1.1.2',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], 148 ^ []))), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [])],extension(66 ^ 11,bind([[_26516, _26518, _26520], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1.1.2.1',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [])), member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])))],extension(58 ^ 12,bind([[_26265, _26267, _26269], [134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.78/1.38 ncf('1.1.2.1.1.2.1.1',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], intersection(147 ^ [], intersection(148 ^ [], 149 ^ []))))],reduction('1.1')).
% 0.78/1.38 ncf('1.1.2.1.1.2.2',plain,[-(member(134 ^ [intersection(147 ^ [], intersection(148 ^ [], 149 ^ [])), intersection(intersection(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []))],extension(62 ^ 12)).
% 0.78/1.38 %-----------------------------------------------------
% 0.78/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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