TSTP Solution File: SET159+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:55:30 EDT 2023

% Result   : Theorem 0.74s 1.39s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n003.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 19:18:30 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.74/1.39  
% 0.74/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.74/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/1.39  %-----------------------------------------------------
% 0.74/1.39  ncf(matrix, plain, [(151 ^ _26769) ^ [] : [union(union(147 ^ [], 148 ^ []), 149 ^ []) = union(147 ^ [], union(148 ^ [], 149 ^ []))], (48 ^ _26769) ^ [_28421, _28423, _28425, _28427] : [-(union(_28427, _28423) = union(_28425, _28421)), _28427 = _28425, _28423 = _28421], (2 ^ _26769) ^ [_26913] : [-(_26913 = _26913)], (4 ^ _26769) ^ [_27020, _27022] : [_27022 = _27020, -(_27020 = _27022)], (10 ^ _26769) ^ [_27224, _27226, _27228] : [-(_27228 = _27224), _27228 = _27226, _27226 = _27224], (20 ^ _26769) ^ [_27565, _27567, _27569, _27571] : [-(subset(_27569, _27565)), subset(_27571, _27567), _27571 = _27569, _27567 = _27565], (34 ^ _26769) ^ [_27989, _27991, _27993, _27995] : [-(member(_27993, _27989)), member(_27995, _27991), _27995 = _27993, _27991 = _27989], (68 ^ _26769) ^ [_29065, _29067, _29069] : [69 ^ _26769 : [(70 ^ _26769) ^ [] : [member(_29065, _29069)], (72 ^ _26769) ^ [] : [member(_29065, _29067)]], -(member(_29065, union(_29069, _29067)))], (58 ^ _26769) ^ [_28797, _28799, _28801] : [member(_28797, union(_28801, _28799)), -(member(_28797, _28801)), -(member(_28797, _28799))], (76 ^ _26769) ^ [_29394, _29396] : [_29396 = _29394, 79 ^ _26769 : [(80 ^ _26769) ^ [] : [-(subset(_29396, _29394))], (82 ^ _26769) ^ [] : [-(subset(_29394, _29396))]]], (84 ^ _26769) ^ [_29631, _29633] : [-(_29633 = _29631), subset(_29633, _29631), subset(_29631, _29633)], (94 ^ _26769) ^ [_29917, _29919] : [-(union(_29919, _29917) = union(_29917, _29919))], (106 ^ _26769) ^ [_30375, _30377] : [108 ^ _26769 : [(109 ^ _26769) ^ [] : [-(member(107 ^ [_30375, _30377], _30377))], (111 ^ _26769) ^ [] : [member(107 ^ [_30375, _30377], _30375)]], -(subset(_30377, _30375))], (96 ^ _26769) ^ [_30061, _30063] : [subset(_30063, _30061), 99 ^ _26769 : [(100 ^ _26769) ^ [_30198] : [member(_30198, _30063), -(member(_30198, _30061))]]], (115 ^ _26769) ^ [_30703] : [-(subset(_30703, _30703))], (133 ^ _26769) ^ [_31336, _31338] : [-(_31338 = _31336), 137 ^ _26769 : [(138 ^ _26769) ^ [] : [-(member(134 ^ [_31336, _31338], _31338))], (140 ^ _26769) ^ [] : [member(134 ^ [_31336, _31338], _31336)]], 141 ^ _26769 : [(142 ^ _26769) ^ [] : [-(member(134 ^ [_31336, _31338], _31336))], (144 ^ _26769) ^ [] : [member(134 ^ [_31336, _31338], _31338)]]], (117 ^ _26769) ^ [_30819, _30821] : [_30821 = _30819, 120 ^ _26769 : [(121 ^ _26769) ^ [_30985] : [member(_30985, _30821), -(member(_30985, _30819))], (127 ^ _26769) ^ [_31157] : [member(_31157, _30819), -(member(_31157, _30821))]]]], input).
% 0.74/1.39  ncf('1',plain,[union(union(147 ^ [], 148 ^ []), 149 ^ []) = union(147 ^ [], union(148 ^ [], 149 ^ []))],start(151 ^ 0)).
% 0.74/1.39  ncf('1.1',plain,[-(union(union(147 ^ [], 148 ^ []), 149 ^ []) = union(147 ^ [], union(148 ^ [], 149 ^ []))), 138 : -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ []))), 142 : -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ []))))],extension(133 ^ 1,bind([[_31336, _31338], [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]))).
% 0.74/1.39  ncf('1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ []))), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []))],extension(58 ^ 4,bind([[_28797, _28799, _28801], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], union(147 ^ [], 148 ^ [])]]))).
% 0.74/1.39  ncf('1.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []))],extension(58 ^ 5,bind([[_28797, _28799, _28801], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ []))))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ []))), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])))), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])) = union(147 ^ [], union(148 ^ [], 149 ^ []))],extension(34 ^ 7,bind([[_27989, _27991, _27993, _27995], [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(147 ^ [], union(148 ^ [], 149 ^ [])), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])))],extension(140 ^ 8)).
% 0.74/1.39  ncf('1.1.1.1.1.1.2',plain,[-(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 8,bind([[_26913], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.1.1.1.1.3',plain,[-(union(147 ^ [], union(148 ^ [], 149 ^ [])) = union(147 ^ [], union(148 ^ [], 149 ^ [])))],extension(2 ^ 8,bind([[_26913], [union(147 ^ [], union(148 ^ [], 149 ^ []))]]))).
% 0.74/1.39  ncf('1.1.1.1.2',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], 148 ^ []]]))).
% 0.74/1.39  ncf('1.1.1.1.2.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ []))))],extension(68 ^ 7,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.1.1.2.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])))],extension(140 ^ 8)).
% 0.74/1.39  ncf('1.1.1.2',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])))],extension(68 ^ 5,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], 148 ^ []]]))).
% 0.74/1.39  ncf('1.1.1.2.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(148 ^ [], 149 ^ []), 147 ^ [])))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [], union(148 ^ [], 149 ^ [])]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(148 ^ [], 149 ^ []), 147 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])))), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(148 ^ [], 149 ^ []), 147 ^ []) = union(147 ^ [], union(148 ^ [], 149 ^ []))],extension(34 ^ 7,bind([[_27989, _27991, _27993, _27995], [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(148 ^ [], 149 ^ []), 147 ^ []), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ [])))],extension(140 ^ 8)).
% 0.74/1.39  ncf('1.1.1.2.1.1.2',plain,[-(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 8,bind([[_26913], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.1.2.1.1.3',plain,[-(union(union(148 ^ [], 149 ^ []), 147 ^ []) = union(147 ^ [], union(148 ^ [], 149 ^ [])))],extension(94 ^ 8,bind([[_29917, _29919], [147 ^ [], union(148 ^ [], 149 ^ [])]]))).
% 0.74/1.39  ncf('1.1.2',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], union(148 ^ [], 149 ^ []))), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])))],extension(58 ^ 4,bind([[_28797, _28799, _28801], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ []), 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [])), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ [] = 147 ^ []],extension(34 ^ 5,bind([[_27989, _27991, _27993, _27995], [147 ^ [], 147 ^ [], 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.2.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 147 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ [])))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ [])))],extension(68 ^ 7,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], union(147 ^ [], 148 ^ [])]]))).
% 0.74/1.39  ncf('1.1.2.1.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ []))],extension(144 ^ 8)).
% 0.74/1.39  ncf('1.1.2.1.2',plain,[-(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 6,bind([[_26913], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.2.1.3',plain,[-(147 ^ [] = 147 ^ [])],extension(2 ^ 6,bind([[_26913], [147 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.2',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(148 ^ [], 149 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []))],extension(58 ^ 5,bind([[_28797, _28799, _28801], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], 148 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.2.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ [])))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 148 ^ [], 147 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.2.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ [])), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ [])))],extension(68 ^ 7,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ [], union(147 ^ [], 148 ^ [])]]))).
% 0.74/1.39  ncf('1.1.2.2.1.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ []))],extension(144 ^ 8)).
% 0.74/1.39  ncf('1.1.2.2.2',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 149 ^ []), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(149 ^ [], union(147 ^ [], 148 ^ []))))],extension(68 ^ 6,bind([[_29065, _29067, _29069], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(147 ^ [], 148 ^ []), 149 ^ []]]))).
% 0.74/1.39  ncf('1.1.2.2.2.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(149 ^ [], union(147 ^ [], 148 ^ []))), -(member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ []))), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(149 ^ [], union(147 ^ [], 148 ^ [])) = union(union(147 ^ [], 148 ^ []), 149 ^ [])],extension(34 ^ 7,bind([[_27989, _27991, _27993, _27995], [union(union(147 ^ [], 148 ^ []), 149 ^ []), union(149 ^ [], union(147 ^ [], 148 ^ [])), 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.2.2.2.1.1',plain,[member(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])], union(union(147 ^ [], 148 ^ []), 149 ^ []))],extension(144 ^ 8)).
% 0.74/1.39  ncf('1.1.2.2.2.1.2',plain,[-(134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])] = 134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])])],extension(2 ^ 8,bind([[_26913], [134 ^ [union(147 ^ [], union(148 ^ [], 149 ^ [])), union(union(147 ^ [], 148 ^ []), 149 ^ [])]]]))).
% 0.74/1.39  ncf('1.1.2.2.2.1.3',plain,[-(union(149 ^ [], union(147 ^ [], 148 ^ [])) = union(union(147 ^ [], 148 ^ []), 149 ^ []))],extension(94 ^ 8,bind([[_29917, _29919], [union(147 ^ [], 148 ^ []), 149 ^ []]]))).
% 0.74/1.39  %-----------------------------------------------------
% 0.74/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------