TSTP Solution File: SET144+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET144+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 11:55:28 EDT 2023

% Result   : Theorem 1.15s 1.36s
% Output   : Proof 1.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET144+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 19:18:17 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.15/1.36  
% 1.15/1.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.15/1.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.15/1.36  %-----------------------------------------------------
% 1.15/1.36  ncf(matrix, plain, [(181 ^ _30878) ^ [] : [-(subset(177 ^ [], 178 ^ []))], (183 ^ _30878) ^ [] : [union(177 ^ [], intersection(179 ^ [], 178 ^ [])) = intersection(union(177 ^ [], 179 ^ []), 178 ^ [])], (48 ^ _30878) ^ [_32550, _32552, _32554, _32556] : [-(intersection(_32556, _32552) = intersection(_32554, _32550)), _32556 = _32554, _32552 = _32550], (58 ^ _30878) ^ [_32889, _32891, _32893, _32895] : [-(union(_32895, _32891) = union(_32893, _32889)), _32895 = _32893, _32891 = _32889], (2 ^ _30878) ^ [_31022] : [-(_31022 = _31022)], (4 ^ _30878) ^ [_31129, _31131] : [_31131 = _31129, -(_31129 = _31131)], (10 ^ _30878) ^ [_31333, _31335, _31337] : [-(_31337 = _31333), _31337 = _31335, _31335 = _31333], (20 ^ _30878) ^ [_31674, _31676, _31678, _31680] : [-(member(_31678, _31674)), member(_31680, _31676), _31680 = _31678, _31676 = _31674], (34 ^ _30878) ^ [_32098, _32100, _32102, _32104] : [-(subset(_32102, _32098)), subset(_32104, _32100), _32104 = _32102, _32100 = _32098], (78 ^ _30878) ^ [_33537, _33539, _33541] : [79 ^ _30878 : [(80 ^ _30878) ^ [] : [member(_33537, _33541)], (82 ^ _30878) ^ [] : [member(_33537, _33539)]], -(member(_33537, union(_33541, _33539)))], (68 ^ _30878) ^ [_33269, _33271, _33273] : [member(_33269, union(_33273, _33271)), -(member(_33269, _33273)), -(member(_33269, _33271))], (86 ^ _30878) ^ [_33880, _33882, _33884] : [member(_33880, intersection(_33884, _33882)), 89 ^ _30878 : [(90 ^ _30878) ^ [] : [-(member(_33880, _33884))], (92 ^ _30878) ^ [] : [-(member(_33880, _33882))]]], (94 ^ _30878) ^ [_34131, _34133, _34135] : [-(member(_34131, intersection(_34135, _34133))), member(_34131, _34135), member(_34131, _34133)], (114 ^ _30878) ^ [_34791, _34793] : [116 ^ _30878 : [(117 ^ _30878) ^ [] : [-(member(115 ^ [_34791, _34793], _34793))], (119 ^ _30878) ^ [] : [member(115 ^ [_34791, _34793], _34791)]], -(subset(_34793, _34791))], (104 ^ _30878) ^ [_34477, _34479] : [subset(_34479, _34477), 107 ^ _30878 : [(108 ^ _30878) ^ [_34614] : [member(_34614, _34479), -(member(_34614, _34477))]]], (123 ^ _30878) ^ [_35177, _35179] : [_35179 = _35177, 126 ^ _30878 : [(127 ^ _30878) ^ [] : [-(subset(_35179, _35177))], (129 ^ _30878) ^ [] : [-(subset(_35177, _35179))]]], (131 ^ _30878) ^ [_35414, _35416] : [-(_35416 = _35414), subset(_35416, _35414), subset(_35414, _35416)], (141 ^ _30878) ^ [_35700, _35702] : [-(union(_35702, _35700) = union(_35700, _35702))], (143 ^ _30878) ^ [_35800, _35802] : [-(intersection(_35802, _35800) = intersection(_35800, _35802))], (145 ^ _30878) ^ [_35886] : [-(subset(_35886, _35886))], (163 ^ _30878) ^ [_36519, _36521] : [-(_36521 = _36519), 167 ^ _30878 : [(168 ^ _30878) ^ [] : [-(member(164 ^ [_36519, _36521], _36521))], (170 ^ _30878) ^ [] : [member(164 ^ [_36519, _36521], _36519)]], 171 ^ _30878 : [(172 ^ _30878) ^ [] : [-(member(164 ^ [_36519, _36521], _36519))], (174 ^ _30878) ^ [] : [member(164 ^ [_36519, _36521], _36521)]]], (147 ^ _30878) ^ [_36002, _36004] : [_36004 = _36002, 150 ^ _30878 : [(151 ^ _30878) ^ [_36168] : [member(_36168, _36004), -(member(_36168, _36002))], (157 ^ _30878) ^ [_36340] : [member(_36340, _36002), -(member(_36340, _36004))]]]], input).
% 1.15/1.36  ncf('1',plain,[union(177 ^ [], intersection(179 ^ [], 178 ^ [])) = intersection(union(177 ^ [], 179 ^ []), 178 ^ [])],start(183 ^ 0)).
% 1.15/1.36  ncf('1.1',plain,[-(union(177 ^ [], intersection(179 ^ [], 178 ^ [])) = intersection(union(177 ^ [], 179 ^ []), 178 ^ [])), 168 : -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ [])))), 172 : -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ [])))],extension(163 ^ 1,bind([[_36519, _36521], [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]))).
% 1.15/1.36  ncf('1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ []))), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ [])))],extension(68 ^ 4,bind([[_33269, _33271, _33273], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ []), 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(177 ^ [], intersection(union(177 ^ [], 179 ^ []), 178 ^ [])))), member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))],extension(94 ^ 5,bind([[_34131, _34133, _34135], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []), 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(177 ^ [], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))), 92 : -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ [])))],extension(86 ^ 6,bind([[_33880, _33882, _33884], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []), 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))), 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))] = 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []) = intersection(union(177 ^ [], 179 ^ []), 178 ^ [])],extension(20 ^ 9,bind([[_31674, _31676, _31678, _31680], [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), intersection(union(177 ^ [], 179 ^ []), 178 ^ []), 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]]))).
% 1.15/1.36  ncf('1.1.1.1.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))],extension(170 ^ 10)).
% 1.15/1.36  ncf('1.1.1.1.1.1.2',plain,[-(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))] = 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))])],extension(2 ^ 10,bind([[_31022], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]]))).
% 1.15/1.36  ncf('1.1.1.1.1.1.3',plain,[-(intersection(union(177 ^ [], 179 ^ []), 178 ^ []) = intersection(union(177 ^ [], 179 ^ []), 178 ^ []))],extension(2 ^ 10,bind([[_31022], [intersection(union(177 ^ [], 179 ^ []), 178 ^ [])]]))).
% 1.15/1.36  ncf('1.1.1.1.2',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))), member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ [])), member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [])],extension(94 ^ 6,bind([[_34131, _34133, _34135], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [], union(177 ^ [], 179 ^ [])]]))).
% 1.15/1.36  ncf('1.1.1.1.2.1',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ []))), 80 : member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ [])],extension(78 ^ 7,bind([[_33537, _33539, _33541], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ [], 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.1.2.1.1',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []))],reduction('1.1.1')).
% 1.15/1.36  ncf('1.1.1.1.2.2',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [])), 108 : member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []), 108 : subset(177 ^ [], 178 ^ [])],extension(104 ^ 7,bind([[_34477, _34479, _34614], [178 ^ [], 177 ^ [], 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]]))).
% 1.15/1.36  ncf('1.1.1.1.2.2.1',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []))],reduction('1.1.1')).
% 1.15/1.36  ncf('1.1.1.1.2.2.2',plain,[-(subset(177 ^ [], 178 ^ []))],extension(181 ^ 8)).
% 1.15/1.36  ncf('1.1.1.2',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ [])), 90 : -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ []))],extension(86 ^ 5,bind([[_33880, _33882, _33884], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [], 179 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.2.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ []), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ [])))],extension(78 ^ 8,bind([[_33537, _33539, _33541], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ [], 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.1.2.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))), member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [])],extension(94 ^ 9,bind([[_34131, _34133, _34135], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [], union(177 ^ [], 179 ^ [])]]))).
% 1.15/1.36  ncf('1.1.1.2.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ []))],extension(170 ^ 10)).
% 1.15/1.36  ncf('1.1.1.2.1.1.2',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ []))],extension(92 ^ 10)).
% 1.15/1.36  ncf('1.1.2',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(union(177 ^ [], 179 ^ []), 178 ^ [])), 90 : -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ [])))],extension(86 ^ 4,bind([[_33880, _33882, _33884], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [], union(177 ^ [], 179 ^ [])]]))).
% 1.15/1.36  ncf('1.1.2.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], 179 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ []))],extension(68 ^ 7,bind([[_33269, _33271, _33273], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ [], 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.2.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ [])), 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))] = 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ [] = 177 ^ []],extension(20 ^ 8,bind([[_31674, _31676, _31678, _31680], [177 ^ [], 177 ^ [], 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]]))).
% 1.15/1.36  ncf('1.1.2.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 177 ^ []), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ []))))],extension(78 ^ 9,bind([[_33537, _33539, _33541], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ []), 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.2.1.1.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ [])))],extension(174 ^ 10)).
% 1.15/1.36  ncf('1.1.2.1.1.2',plain,[-(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))] = 164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))])],extension(2 ^ 9,bind([[_31022], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))]]]))).
% 1.15/1.36  ncf('1.1.2.1.1.3',plain,[-(177 ^ [] = 177 ^ [])],extension(2 ^ 9,bind([[_31022], [177 ^ []]]))).
% 1.15/1.36  ncf('1.1.2.1.2',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 179 ^ []), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ []))), member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [])],extension(94 ^ 8,bind([[_34131, _34133, _34135], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ [], 179 ^ []]]))).
% 1.15/1.36  ncf('1.1.2.1.2.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ [])), -(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ []))))],extension(78 ^ 9,bind([[_33537, _33539, _33541], [164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], intersection(179 ^ [], 178 ^ []), 177 ^ []]]))).
% 1.15/1.36  ncf('1.1.2.1.2.1.1',plain,[member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], union(177 ^ [], intersection(179 ^ [], 178 ^ [])))],extension(174 ^ 10)).
% 1.15/1.36  ncf('1.1.2.1.2.2',plain,[-(member(164 ^ [intersection(union(177 ^ [], 179 ^ []), 178 ^ []), union(177 ^ [], intersection(179 ^ [], 178 ^ []))], 178 ^ []))],extension(92 ^ 9)).
% 1.15/1.36  %-----------------------------------------------------
% 1.15/1.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------