TSTP Solution File: SET593+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET593+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 146.15s 141.89s
% Output   : Proof 146.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET593+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 19:30:41 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 146.15/141.89  
% 146.15/141.89  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 146.15/141.89  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.15/141.89  %-----------------------------------------------------
% 146.15/141.89  ncf(matrix, plain, [(95 ^ _16290) ^ [] : [-(subset(91 ^ [], union(92 ^ [], 93 ^ [])))], (97 ^ _16290) ^ [] : [subset(difference(91 ^ [], 92 ^ []), 93 ^ []), subset(difference(91 ^ [], 93 ^ []), 92 ^ [])], (12 ^ _16290) ^ [_16714, _16716, _16718] : [13 ^ _16290 : [(14 ^ _16290) ^ [] : [member(_16714, _16718)], (16 ^ _16290) ^ [] : [member(_16714, _16716)]], -(member(_16714, union(_16718, _16716)))], (2 ^ _16290) ^ [_16446, _16448, _16450] : [member(_16446, union(_16450, _16448)), -(member(_16446, _16450)), -(member(_16446, _16448))], (20 ^ _16290) ^ [_17057, _17059, _17061] : [member(_17057, difference(_17061, _17059)), 23 ^ _16290 : [(24 ^ _16290) ^ [] : [-(member(_17057, _17061))], (26 ^ _16290) ^ [] : [member(_17057, _17059)]]], (28 ^ _16290) ^ [_17309, _17311, _17313] : [-(member(_17309, difference(_17313, _17311))), member(_17309, _17313), -(member(_17309, _17311))], (48 ^ _16290) ^ [_17972, _17974] : [50 ^ _16290 : [(51 ^ _16290) ^ [] : [-(member(49 ^ [_17972, _17974], _17974))], (53 ^ _16290) ^ [] : [member(49 ^ [_17972, _17974], _17972)]], -(subset(_17974, _17972))], (38 ^ _16290) ^ [_17658, _17660] : [subset(_17660, _17658), 41 ^ _16290 : [(42 ^ _16290) ^ [_17795] : [member(_17795, _17660), -(member(_17795, _17658))]]], (57 ^ _16290) ^ [_18314, _18316] : [-(union(_18316, _18314) = union(_18314, _18316))], (59 ^ _16290) ^ [_18400] : [-(subset(_18400, _18400))], (77 ^ _16290) ^ [_19033, _19035] : [-(_19035 = _19033), 81 ^ _16290 : [(82 ^ _16290) ^ [] : [-(member(78 ^ [_19033, _19035], _19035))], (84 ^ _16290) ^ [] : [member(78 ^ [_19033, _19035], _19033)]], 85 ^ _16290 : [(86 ^ _16290) ^ [] : [-(member(78 ^ [_19033, _19035], _19033))], (88 ^ _16290) ^ [] : [member(78 ^ [_19033, _19035], _19035)]]], (61 ^ _16290) ^ [_18516, _18518] : [_18518 = _18516, 64 ^ _16290 : [(65 ^ _16290) ^ [_18682] : [member(_18682, _18518), -(member(_18682, _18516))], (71 ^ _16290) ^ [_18854] : [member(_18854, _18516), -(member(_18854, _18518))]]]], input).
% 146.15/141.90  ncf('1',plain,[subset(difference(91 ^ [], 92 ^ []), 93 ^ []), subset(difference(91 ^ [], 93 ^ []), 92 ^ [])],start(97 ^ 0)).
% 146.15/141.90  ncf('1.1',plain,[-(subset(difference(91 ^ [], 92 ^ []), 93 ^ [])), 51 : -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], difference(91 ^ [], 92 ^ [])))],extension(48 ^ 1,bind([[_17972, _17974], [93 ^ [], difference(91 ^ [], 92 ^ [])]]))).
% 146.15/141.90  ncf('1.1.1',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], difference(91 ^ [], 92 ^ [])), 24 : -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 91 ^ []))],extension(20 ^ 4,bind([[_17057, _17059, _17061], [49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 92 ^ [], 91 ^ []]]))).
% 146.15/141.90  ncf('1.1.1.1',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 91 ^ []), -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], difference(91 ^ [], union(92 ^ [], 93 ^ [])))), -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ [])))],extension(28 ^ 7,bind([[_17309, _17311, _17313], [49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ []), 91 ^ []]]))).
% 146.15/141.90  ncf('1.1.1.1.1',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], difference(91 ^ [], union(92 ^ [], 93 ^ []))), 26 : member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ []))],extension(20 ^ 8,bind([[_17057, _17059, _17061], [49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ []), 91 ^ []]]))).
% 146.15/141.90  ncf('1.1.1.1.1.1',plain,[-(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ []))), 42 : member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 91 ^ []), 42 : subset(91 ^ [], union(92 ^ [], 93 ^ []))],extension(38 ^ 11,bind([[_17658, _17660, _17795], [union(92 ^ [], 93 ^ []), 91 ^ [], 49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])]]]))).
% 146.15/141.90  ncf('1.1.1.1.1.1.1',plain,[-(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 91 ^ []))],reduction('1.1.1')).
% 146.15/141.90  ncf('1.1.1.1.1.1.2',plain,[-(subset(91 ^ [], union(92 ^ [], 93 ^ [])))],extension(95 ^ 12)).
% 146.15/141.90  ncf('1.1.1.1.2',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], union(92 ^ [], 93 ^ [])), -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 92 ^ [])), -(member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 93 ^ []))],extension(2 ^ 8,bind([[_16446, _16448, _16450], [49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 93 ^ [], 92 ^ []]]))).
% 146.15/141.90  ncf('1.1.1.1.2.1',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 92 ^ [])],extension(26 ^ 9)).
% 146.15/141.90  ncf('1.1.1.1.2.2',plain,[member(49 ^ [93 ^ [], difference(91 ^ [], 92 ^ [])], 93 ^ [])],extension(53 ^ 9)).
% 146.15/141.90  ncf('1.2',plain,[-(subset(difference(91 ^ [], 93 ^ []), 92 ^ [])), 51 : -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], difference(91 ^ [], 93 ^ [])))],extension(48 ^ 1,bind([[_17972, _17974], [92 ^ [], difference(91 ^ [], 93 ^ [])]]))).
% 146.15/141.90  ncf('1.2.1',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], difference(91 ^ [], 93 ^ [])), 24 : -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 91 ^ []))],extension(20 ^ 4,bind([[_17057, _17059, _17061], [49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 93 ^ [], 91 ^ []]]))).
% 146.15/141.90  ncf('1.2.1.1',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 91 ^ []), -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], difference(91 ^ [], union(92 ^ [], 93 ^ [])))), -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ [])))],extension(28 ^ 7,bind([[_17309, _17311, _17313], [49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ []), 91 ^ []]]))).
% 146.15/141.90  ncf('1.2.1.1.1',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], difference(91 ^ [], union(92 ^ [], 93 ^ []))), 26 : member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ []))],extension(20 ^ 8,bind([[_17057, _17059, _17061], [49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ []), 91 ^ []]]))).
% 146.15/141.90  ncf('1.2.1.1.1.1',plain,[-(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ []))), 42 : member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 91 ^ []), 42 : subset(91 ^ [], union(92 ^ [], 93 ^ []))],extension(38 ^ 11,bind([[_17658, _17660, _17795], [union(92 ^ [], 93 ^ []), 91 ^ [], 49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])]]]))).
% 146.15/141.90  ncf('1.2.1.1.1.1.1',plain,[-(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 91 ^ []))],reduction('1.2.1')).
% 146.15/141.90  ncf('1.2.1.1.1.1.2',plain,[-(subset(91 ^ [], union(92 ^ [], 93 ^ [])))],extension(95 ^ 12)).
% 146.15/141.90  ncf('1.2.1.1.2',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], union(92 ^ [], 93 ^ [])), -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 92 ^ [])), -(member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 93 ^ []))],extension(2 ^ 8,bind([[_16446, _16448, _16450], [49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 93 ^ [], 92 ^ []]]))).
% 146.15/141.90  ncf('1.2.1.1.2.1',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 92 ^ [])],extension(53 ^ 9)).
% 146.15/141.90  ncf('1.2.1.1.2.2',plain,[member(49 ^ [92 ^ [], difference(91 ^ [], 93 ^ [])], 93 ^ [])],extension(26 ^ 9)).
% 146.15/141.90  %-----------------------------------------------------
% 146.15/141.90  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------