TSTP Solution File: SET594+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:56:03 EDT 2023

% Result   : Theorem 1.00s 1.36s
% Output   : Proof 1.00s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % 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 18:50:36 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 1.00/1.36  
% 1.00/1.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.00/1.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.00/1.36  %-----------------------------------------------------
% 1.00/1.36  ncf(matrix, plain, [(181 ^ _26782) ^ [] : [-(union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])) = 177 ^ [])], (183 ^ _26782) ^ [] : [subset(177 ^ [], union(178 ^ [], 179 ^ []))], (48 ^ _26782) ^ [_28454, _28456, _28458, _28460] : [-(intersection(_28460, _28456) = intersection(_28458, _28454)), _28460 = _28458, _28456 = _28454], (58 ^ _26782) ^ [_28793, _28795, _28797, _28799] : [-(union(_28799, _28795) = union(_28797, _28793)), _28799 = _28797, _28795 = _28793], (2 ^ _26782) ^ [_26926] : [-(_26926 = _26926)], (4 ^ _26782) ^ [_27033, _27035] : [_27035 = _27033, -(_27033 = _27035)], (10 ^ _26782) ^ [_27237, _27239, _27241] : [-(_27241 = _27237), _27241 = _27239, _27239 = _27237], (20 ^ _26782) ^ [_27578, _27580, _27582, _27584] : [-(member(_27582, _27578)), member(_27584, _27580), _27584 = _27582, _27580 = _27578], (34 ^ _26782) ^ [_28002, _28004, _28006, _28008] : [-(subset(_28006, _28002)), subset(_28008, _28004), _28008 = _28006, _28004 = _28002], (78 ^ _26782) ^ [_29473, _29475] : [80 ^ _26782 : [(81 ^ _26782) ^ [] : [-(member(79 ^ [_29473, _29475], _29475))], (83 ^ _26782) ^ [] : [member(79 ^ [_29473, _29475], _29473)]], -(subset(_29475, _29473))], (68 ^ _26782) ^ [_29159, _29161] : [subset(_29161, _29159), 71 ^ _26782 : [(72 ^ _26782) ^ [_29296] : [member(_29296, _29161), -(member(_29296, _29159))]]], (97 ^ _26782) ^ [_30141, _30143, _30145] : [98 ^ _26782 : [(99 ^ _26782) ^ [] : [member(_30141, _30145)], (101 ^ _26782) ^ [] : [member(_30141, _30143)]], -(member(_30141, union(_30145, _30143)))], (87 ^ _26782) ^ [_29873, _29875, _29877] : [member(_29873, union(_29877, _29875)), -(member(_29873, _29877)), -(member(_29873, _29875))], (105 ^ _26782) ^ [_30484, _30486, _30488] : [member(_30484, intersection(_30488, _30486)), 108 ^ _26782 : [(109 ^ _26782) ^ [] : [-(member(_30484, _30488))], (111 ^ _26782) ^ [] : [-(member(_30484, _30486))]]], (113 ^ _26782) ^ [_30735, _30737, _30739] : [-(member(_30735, intersection(_30739, _30737))), member(_30735, _30739), member(_30735, _30737)], (123 ^ _26782) ^ [_31081, _31083] : [_31083 = _31081, 126 ^ _26782 : [(127 ^ _26782) ^ [] : [-(subset(_31083, _31081))], (129 ^ _26782) ^ [] : [-(subset(_31081, _31083))]]], (131 ^ _26782) ^ [_31318, _31320] : [-(_31320 = _31318), subset(_31320, _31318), subset(_31318, _31320)], (141 ^ _26782) ^ [_31604, _31606] : [-(union(_31606, _31604) = union(_31604, _31606))], (143 ^ _26782) ^ [_31704, _31706] : [-(intersection(_31706, _31704) = intersection(_31704, _31706))], (145 ^ _26782) ^ [_31790] : [-(subset(_31790, _31790))], (163 ^ _26782) ^ [_32423, _32425] : [-(_32425 = _32423), 167 ^ _26782 : [(168 ^ _26782) ^ [] : [-(member(164 ^ [_32423, _32425], _32425))], (170 ^ _26782) ^ [] : [member(164 ^ [_32423, _32425], _32423)]], 171 ^ _26782 : [(172 ^ _26782) ^ [] : [-(member(164 ^ [_32423, _32425], _32423))], (174 ^ _26782) ^ [] : [member(164 ^ [_32423, _32425], _32425)]]], (147 ^ _26782) ^ [_31906, _31908] : [_31908 = _31906, 150 ^ _26782 : [(151 ^ _26782) ^ [_32072] : [member(_32072, _31908), -(member(_32072, _31906))], (157 ^ _26782) ^ [_32244] : [member(_32244, _31906), -(member(_32244, _31908))]]]], input).
% 1.00/1.36  ncf('1',plain,[subset(177 ^ [], union(178 ^ [], 179 ^ []))],start(183 ^ 0)).
% 1.00/1.36  ncf('1.1',plain,[-(subset(177 ^ [], union(178 ^ [], 179 ^ []))), 83 : member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], union(178 ^ [], 179 ^ []))],extension(78 ^ 1,bind([[_29473, _29475], [union(178 ^ [], 179 ^ []), 177 ^ []]]))).
% 1.00/1.36  ncf('1.1.1',plain,[-(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], union(178 ^ [], 179 ^ []))), 99 : member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 178 ^ [])],extension(97 ^ 4,bind([[_30141, _30143, _30145], [79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 179 ^ [], 178 ^ []]]))).
% 1.00/1.36  ncf('1.1.1.1',plain,[-(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 178 ^ [])), member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], intersection(177 ^ [], 178 ^ []))],extension(105 ^ 7,bind([[_30484, _30486, _30488], [79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 178 ^ [], 177 ^ []]]))).
% 1.00/1.36  ncf('1.1.1.1.1',plain,[-(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], intersection(177 ^ [], 178 ^ []))), member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))), -(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], intersection(177 ^ [], 179 ^ [])))],extension(87 ^ 8,bind([[_29873, _29875, _29877], [79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], intersection(177 ^ [], 179 ^ []), intersection(177 ^ [], 178 ^ [])]]))).
% 1.00/1.36  ncf('1.1.1.1.1.1',plain,[-(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])))), member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 177 ^ []), 79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []] = 79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 177 ^ [] = union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))],extension(20 ^ 9,bind([[_27578, _27580, _27582, _27584], [union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])), 177 ^ [], 79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []]]]))).
% 1.00/1.36  ncf('1.1.1.1.1.1.1',plain,[-(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 177 ^ []))],extension(81 ^ 10)).
% 1.00/1.36  ncf('1.1.1.1.1.1.2',plain,[-(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []] = 79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []])],extension(2 ^ 10,bind([[_26926], [79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []]]]))).
% 1.00/1.36  ncf('1.1.1.1.1.1.3',plain,[-(177 ^ [] = union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))), union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])) = 177 ^ []],extension(4 ^ 10,bind([[_27033, _27035], [177 ^ [], union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ []))]]))).
% 1.00/1.36  ncf('1.1.1.1.1.1.3.1',plain,[-(union(intersection(177 ^ [], 178 ^ []), intersection(177 ^ [], 179 ^ [])) = 177 ^ [])],extension(181 ^ 11)).
% 1.00/1.36  ncf('1.1.1.1.1.2',plain,[member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], intersection(177 ^ [], 179 ^ [])), 111 : -(member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 179 ^ []))],extension(105 ^ 9,bind([[_30484, _30486, _30488], [79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 179 ^ [], 177 ^ []]]))).
% 1.00/1.36  ncf('1.1.1.1.1.2.1',plain,[member(79 ^ [union(178 ^ [], 179 ^ []), 177 ^ []], 179 ^ [])],extension(101 ^ 12)).
% 1.00/1.36  %-----------------------------------------------------
% 1.00/1.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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