TSTP Solution File: SET603+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET603+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:56:05 EDT 2023

% Result   : Theorem 0.25s 1.33s
% Output   : Proof 0.25s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SET603+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Thu May 18 19:07:04 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.25/1.33  
% 0.25/1.33  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.25/1.33  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/1.33  %-----------------------------------------------------
% 0.25/1.33  ncf(matrix, plain, [(187 ^ _24357) ^ [] : [difference(185 ^ [], empty_set) = 185 ^ []], (58 ^ _24357) ^ [_26306, _26308, _26310, _26312] : [-(difference(_26312, _26308) = difference(_26310, _26306)), _26312 = _26310, _26308 = _26306], (2 ^ _24357) ^ [_24501] : [-(_24501 = _24501)], (4 ^ _24357) ^ [_24608, _24610] : [_24610 = _24608, -(_24608 = _24610)], (10 ^ _24357) ^ [_24812, _24814, _24816] : [-(_24816 = _24812), _24816 = _24814, _24814 = _24812], (20 ^ _24357) ^ [_25153, _25155, _25157, _25159] : [-(subset(_25157, _25153)), subset(_25159, _25155), _25159 = _25157, _25155 = _25153], (34 ^ _24357) ^ [_25569, _25571] : [-(empty(_25569)), _25571 = _25569, empty(_25571)], (44 ^ _24357) ^ [_25872, _25874, _25876, _25878] : [-(member(_25876, _25872)), member(_25878, _25874), _25878 = _25876, _25874 = _25872], (68 ^ _24357) ^ [_26639, _26641] : [-(_26641 = _26639), 72 ^ _24357 : [(73 ^ _24357) ^ [] : [-(member(69 ^ [_26639, _26641], _26641))], (75 ^ _24357) ^ [] : [member(69 ^ [_26639, _26641], _26639)]], 76 ^ _24357 : [(77 ^ _24357) ^ [] : [-(member(69 ^ [_26639, _26641], _26639))], (79 ^ _24357) ^ [] : [member(69 ^ [_26639, _26641], _26641)]]], (83 ^ _24357) ^ [_27212, _27214, _27216] : [member(_27212, difference(_27216, _27214)), 86 ^ _24357 : [(87 ^ _24357) ^ [] : [-(member(_27212, _27216))], (89 ^ _24357) ^ [] : [member(_27212, _27214)]]], (91 ^ _24357) ^ [_27464, _27466, _27468] : [-(member(_27464, difference(_27468, _27466))), member(_27464, _27468), -(member(_27464, _27466))], (101 ^ _24357) ^ [_27754] : [member(_27754, empty_set)], (103 ^ _24357) ^ [_27890, _27892] : [_27892 = _27890, 106 ^ _24357 : [(107 ^ _24357) ^ [] : [-(subset(_27892, _27890))], (109 ^ _24357) ^ [] : [-(subset(_27890, _27892))]]], (111 ^ _24357) ^ [_28127, _28129] : [-(_28129 = _28127), subset(_28129, _28127), subset(_28127, _28129)], (137 ^ _24357) ^ [_28974, _28976] : [-(_28976 = _28974), 141 ^ _24357 : [(142 ^ _24357) ^ [] : [-(member(138 ^ [_28974, _28976], _28976))], (144 ^ _24357) ^ [] : [member(138 ^ [_28974, _28976], _28974)]], 145 ^ _24357 : [(146 ^ _24357) ^ [] : [-(member(138 ^ [_28974, _28976], _28974))], (148 ^ _24357) ^ [] : [member(138 ^ [_28974, _28976], _28976)]]], (121 ^ _24357) ^ [_28457, _28459] : [_28459 = _28457, 124 ^ _24357 : [(125 ^ _24357) ^ [_28623] : [member(_28623, _28459), -(member(_28623, _28457))], (131 ^ _24357) ^ [_28795] : [member(_28795, _28457), -(member(_28795, _28459))]]], (171 ^ _24357) ^ [_30177] : [-(subset(_30177, _30177))], (173 ^ _24357) ^ [_30279] : [empty(_30279), 176 ^ _24357 : [(177 ^ _24357) ^ [_30390] : [member(_30390, _30279)]]], (179 ^ _24357) ^ [_30456] : [-(member(180 ^ [_30456], _30456)), -(empty(_30456))], (162 ^ _24357) ^ [_29849, _29851] : [164 ^ _24357 : [(165 ^ _24357) ^ [] : [-(member(163 ^ [_29849, _29851], _29851))], (167 ^ _24357) ^ [] : [member(163 ^ [_29849, _29851], _29849)]], -(subset(_29851, _29849))], (152 ^ _24357) ^ [_29535, _29537] : [subset(_29537, _29535), 155 ^ _24357 : [(156 ^ _24357) ^ [_29672] : [member(_29672, _29537), -(member(_29672, _29535))]]]], input).
% 0.25/1.33  ncf('1',plain,[difference(185 ^ [], empty_set) = 185 ^ []],start(187 ^ 0)).
% 0.25/1.33  ncf('1.1',plain,[-(difference(185 ^ [], empty_set) = 185 ^ []), 73 : -(member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], difference(185 ^ [], empty_set))), 77 : -(member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], 185 ^ []))],extension(68 ^ 1,bind([[_26639, _26641], [185 ^ [], difference(185 ^ [], empty_set)]]))).
% 0.25/1.33  ncf('1.1.1',plain,[member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], difference(185 ^ [], empty_set)), 87 : -(member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], 185 ^ []))],extension(83 ^ 4,bind([[_27212, _27214, _27216], [69 ^ [185 ^ [], difference(185 ^ [], empty_set)], empty_set, 185 ^ []]]))).
% 0.25/1.33  ncf('1.1.1.1',plain,[member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], 185 ^ [])],extension(75 ^ 7)).
% 0.25/1.33  ncf('1.1.2',plain,[member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], 185 ^ []), -(member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], difference(185 ^ [], empty_set))), -(member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], empty_set))],extension(91 ^ 4,bind([[_27464, _27466, _27468], [69 ^ [185 ^ [], difference(185 ^ [], empty_set)], empty_set, 185 ^ []]]))).
% 0.25/1.33  ncf('1.1.2.1',plain,[member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], difference(185 ^ [], empty_set))],extension(79 ^ 5)).
% 0.25/1.33  ncf('1.1.2.2',plain,[member(69 ^ [185 ^ [], difference(185 ^ [], empty_set)], empty_set)],extension(101 ^ 5,bind([[_27754], [69 ^ [185 ^ [], difference(185 ^ [], empty_set)]]]))).
% 0.25/1.33  %-----------------------------------------------------
% 0.25/1.33  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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