TSTP Solution File: SET578+3 by nanoCoP---2.0

View Problem - Process Solution

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% File     : nanoCoP---2.0
% Problem  : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:56:00 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET578+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 18:48:27 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(169 ^ _23501) ^ [] : [147 ^ [] = intersection(148 ^ [], 149 ^ [])], (151 ^ _23501) ^ [_28847] : [member(_28847, 147 ^ []), 154 ^ _23501 : [(155 ^ _23501) ^ [] : [-(member(_28847, 148 ^ []))], (157 ^ _23501) ^ [] : [-(member(_28847, 149 ^ []))]]], (159 ^ _23501) ^ [_29076] : [-(member(_29076, 147 ^ [])), member(_29076, 148 ^ []), member(_29076, 149 ^ [])], (48 ^ _23501) ^ [_25153, _25155, _25157, _25159] : [-(intersection(_25159, _25155) = intersection(_25157, _25153)), _25159 = _25157, _25155 = _25153], (2 ^ _23501) ^ [_23645] : [-(_23645 = _23645)], (4 ^ _23501) ^ [_23752, _23754] : [_23754 = _23752, -(_23752 = _23754)], (10 ^ _23501) ^ [_23956, _23958, _23960] : [-(_23960 = _23956), _23960 = _23958, _23958 = _23956], (20 ^ _23501) ^ [_24297, _24299, _24301, _24303] : [-(subset(_24301, _24297)), subset(_24303, _24299), _24303 = _24301, _24299 = _24297], (34 ^ _23501) ^ [_24721, _24723, _24725, _24727] : [-(member(_24725, _24721)), member(_24727, _24723), _24727 = _24725, _24723 = _24721], (58 ^ _23501) ^ [_25529, _25531, _25533] : [member(_25529, intersection(_25533, _25531)), 61 ^ _23501 : [(62 ^ _23501) ^ [] : [-(member(_25529, _25533))], (64 ^ _23501) ^ [] : [-(member(_25529, _25531))]]], (66 ^ _23501) ^ [_25780, _25782, _25784] : [-(member(_25780, intersection(_25784, _25782))), member(_25780, _25784), member(_25780, _25782)], (76 ^ _23501) ^ [_26126, _26128] : [_26128 = _26126, 79 ^ _23501 : [(80 ^ _23501) ^ [] : [-(subset(_26128, _26126))], (82 ^ _23501) ^ [] : [-(subset(_26126, _26128))]]], (84 ^ _23501) ^ [_26363, _26365] : [-(_26365 = _26363), subset(_26365, _26363), subset(_26363, _26365)], (94 ^ _23501) ^ [_26649, _26651] : [-(intersection(_26651, _26649) = intersection(_26649, _26651))], (106 ^ _23501) ^ [_27107, _27109] : [108 ^ _23501 : [(109 ^ _23501) ^ [] : [-(member(107 ^ [_27107, _27109], _27109))], (111 ^ _23501) ^ [] : [member(107 ^ [_27107, _27109], _27107)]], -(subset(_27109, _27107))], (96 ^ _23501) ^ [_26793, _26795] : [subset(_26795, _26793), 99 ^ _23501 : [(100 ^ _23501) ^ [_26930] : [member(_26930, _26795), -(member(_26930, _26793))]]], (115 ^ _23501) ^ [_27435] : [-(subset(_27435, _27435))], (133 ^ _23501) ^ [_28068, _28070] : [-(_28070 = _28068), 137 ^ _23501 : [(138 ^ _23501) ^ [] : [-(member(134 ^ [_28068, _28070], _28070))], (140 ^ _23501) ^ [] : [member(134 ^ [_28068, _28070], _28068)]], 141 ^ _23501 : [(142 ^ _23501) ^ [] : [-(member(134 ^ [_28068, _28070], _28068))], (144 ^ _23501) ^ [] : [member(134 ^ [_28068, _28070], _28070)]]], (117 ^ _23501) ^ [_27551, _27553] : [_27553 = _27551, 120 ^ _23501 : [(121 ^ _23501) ^ [_27717] : [member(_27717, _27553), -(member(_27717, _27551))], (127 ^ _23501) ^ [_27889] : [member(_27889, _27551), -(member(_27889, _27553))]]]], input).
% 0.33/1.37  ncf('1',plain,[147 ^ [] = intersection(148 ^ [], 149 ^ [])],start(169 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(147 ^ [] = intersection(148 ^ [], 149 ^ [])), 138 : -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 147 ^ [])), 142 : -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], intersection(148 ^ [], 149 ^ [])))],extension(133 ^ 1,bind([[_28068, _28070], [intersection(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 147 ^ []), 155 : -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 148 ^ []))],extension(151 ^ 4,bind([[_28847], [134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []]]]))).
% 0.33/1.37  ncf('1.1.1.1',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 148 ^ []), -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], intersection(148 ^ [], 149 ^ []))), member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ [])],extension(66 ^ 7,bind([[_25780, _25782, _25784], [134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ [], 148 ^ []]]))).
% 0.33/1.37  ncf('1.1.1.1.1',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], intersection(148 ^ [], 149 ^ []))],extension(140 ^ 8)).
% 0.33/1.37  ncf('1.1.1.1.2',plain,[-(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ []))],extension(157 ^ 8)).
% 0.33/1.37  ncf('1.1.2',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], intersection(148 ^ [], 149 ^ [])), 62 : -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 148 ^ []))],extension(58 ^ 4,bind([[_25529, _25531, _25533], [134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ [], 148 ^ []]]))).
% 0.33/1.37  ncf('1.1.2.1',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 148 ^ []), -(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 147 ^ [])), member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ [])],extension(159 ^ 7,bind([[_29076], [134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []]]]))).
% 0.33/1.37  ncf('1.1.2.1.1',plain,[member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 147 ^ [])],extension(144 ^ 8)).
% 0.33/1.37  ncf('1.1.2.1.2',plain,[-(member(134 ^ [intersection(148 ^ [], 149 ^ []), 147 ^ []], 149 ^ []))],extension(64 ^ 8)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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