TSTP Solution File: SET185+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 11:55:33 EDT 2023

% Result   : Theorem 0.37s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET185+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 19:17:22 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.37/1.38  
% 0.37/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  ncf(matrix, plain, [(150 ^ _21510) ^ [] : [-(subset(147 ^ [], 148 ^ []))], (152 ^ _21510) ^ [] : [union(147 ^ [], 148 ^ []) = 148 ^ []], (48 ^ _21510) ^ [_23162, _23164, _23166, _23168] : [-(union(_23168, _23164) = union(_23166, _23162)), _23168 = _23166, _23164 = _23162], (2 ^ _21510) ^ [_21654] : [-(_21654 = _21654)], (4 ^ _21510) ^ [_21761, _21763] : [_21763 = _21761, -(_21761 = _21763)], (10 ^ _21510) ^ [_21965, _21967, _21969] : [-(_21969 = _21965), _21969 = _21967, _21967 = _21965], (20 ^ _21510) ^ [_22306, _22308, _22310, _22312] : [-(member(_22310, _22306)), member(_22312, _22308), _22312 = _22310, _22308 = _22306], (34 ^ _21510) ^ [_22730, _22732, _22734, _22736] : [-(subset(_22734, _22730)), subset(_22736, _22732), _22736 = _22734, _22732 = _22730], (68 ^ _21510) ^ [_23806, _23808, _23810] : [69 ^ _21510 : [(70 ^ _21510) ^ [] : [member(_23806, _23810)], (72 ^ _21510) ^ [] : [member(_23806, _23808)]], -(member(_23806, union(_23810, _23808)))], (58 ^ _21510) ^ [_23538, _23540, _23542] : [member(_23538, union(_23542, _23540)), -(member(_23538, _23542)), -(member(_23538, _23540))], (86 ^ _21510) ^ [_24449, _24451] : [88 ^ _21510 : [(89 ^ _21510) ^ [] : [-(member(87 ^ [_24449, _24451], _24451))], (91 ^ _21510) ^ [] : [member(87 ^ [_24449, _24451], _24449)]], -(subset(_24451, _24449))], (76 ^ _21510) ^ [_24135, _24137] : [subset(_24137, _24135), 79 ^ _21510 : [(80 ^ _21510) ^ [_24272] : [member(_24272, _24137), -(member(_24272, _24135))]]], (95 ^ _21510) ^ [_24835, _24837] : [_24837 = _24835, 98 ^ _21510 : [(99 ^ _21510) ^ [] : [-(subset(_24837, _24835))], (101 ^ _21510) ^ [] : [-(subset(_24835, _24837))]]], (103 ^ _21510) ^ [_25072, _25074] : [-(_25074 = _25072), subset(_25074, _25072), subset(_25072, _25074)], (113 ^ _21510) ^ [_25358, _25360] : [-(union(_25360, _25358) = union(_25358, _25360))], (115 ^ _21510) ^ [_25444] : [-(subset(_25444, _25444))], (133 ^ _21510) ^ [_26077, _26079] : [-(_26079 = _26077), 137 ^ _21510 : [(138 ^ _21510) ^ [] : [-(member(134 ^ [_26077, _26079], _26079))], (140 ^ _21510) ^ [] : [member(134 ^ [_26077, _26079], _26077)]], 141 ^ _21510 : [(142 ^ _21510) ^ [] : [-(member(134 ^ [_26077, _26079], _26077))], (144 ^ _21510) ^ [] : [member(134 ^ [_26077, _26079], _26079)]]], (117 ^ _21510) ^ [_25560, _25562] : [_25562 = _25560, 120 ^ _21510 : [(121 ^ _21510) ^ [_25726] : [member(_25726, _25562), -(member(_25726, _25560))], (127 ^ _21510) ^ [_25898] : [member(_25898, _25560), -(member(_25898, _25562))]]]], input).
% 0.37/1.38  ncf('1',plain,[union(147 ^ [], 148 ^ []) = 148 ^ []],start(152 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(union(147 ^ [], 148 ^ []) = 148 ^ []), 140 : member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ []), 142 : -(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ []))],extension(133 ^ 1,bind([[_26077, _26079], [148 ^ [], union(147 ^ [], 148 ^ [])]]))).
% 0.37/1.38  ncf('1.1.1',plain,[-(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ [])), member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], union(147 ^ [], 148 ^ [])), -(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 147 ^ []))],extension(58 ^ 4,bind([[_23538, _23540, _23542], [134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.37/1.38  ncf('1.1.1.1',plain,[-(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], union(147 ^ [], 148 ^ [])))],extension(138 ^ 5)).
% 0.37/1.38  ncf('1.1.1.2',plain,[member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 147 ^ []), 80 : -(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ [])), 80 : subset(147 ^ [], 148 ^ [])],extension(76 ^ 5,bind([[_24135, _24137, _24272], [148 ^ [], 147 ^ [], 134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])]]]))).
% 0.37/1.38  ncf('1.1.1.2.1',plain,[member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ [])],reduction('1.1')).
% 0.37/1.38  ncf('1.1.1.2.2',plain,[-(subset(147 ^ [], 148 ^ []))],extension(150 ^ 6)).
% 0.37/1.38  ncf('1.1.2',plain,[member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ []), -(member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], union(147 ^ [], 148 ^ [])))],extension(68 ^ 4,bind([[_23806, _23808, _23810], [134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.37/1.38  ncf('1.1.2.1',plain,[member(134 ^ [148 ^ [], union(147 ^ [], 148 ^ [])], union(147 ^ [], 148 ^ []))],extension(144 ^ 5)).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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