TSTP Solution File: SET595+3 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 0.41s 1.37s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n028.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 19:18:18 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.41/1.37  
% 0.41/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.41/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  ncf(matrix, plain, [(193 ^ _28263) ^ [] : [-(subset(190 ^ [], 191 ^ []))], (195 ^ _28263) ^ [] : [191 ^ [] = union(190 ^ [], difference(191 ^ [], 190 ^ []))], (48 ^ _28263) ^ [_29935, _29937, _29939, _29941] : [-(union(_29941, _29937) = union(_29939, _29935)), _29941 = _29939, _29937 = _29935], (58 ^ _28263) ^ [_30274, _30276, _30278, _30280] : [-(difference(_30280, _30276) = difference(_30278, _30274)), _30280 = _30278, _30276 = _30274], (2 ^ _28263) ^ [_28407] : [-(_28407 = _28407)], (4 ^ _28263) ^ [_28514, _28516] : [_28516 = _28514, -(_28514 = _28516)], (10 ^ _28263) ^ [_28718, _28720, _28722] : [-(_28722 = _28718), _28722 = _28720, _28720 = _28718], (20 ^ _28263) ^ [_29059, _29061, _29063, _29065] : [-(member(_29063, _29059)), member(_29065, _29061), _29065 = _29063, _29061 = _29059], (34 ^ _28263) ^ [_29483, _29485, _29487, _29489] : [-(subset(_29487, _29483)), subset(_29489, _29485), _29489 = _29487, _29485 = _29483], (68 ^ _28263) ^ [_30611, _30613] : [-(_30613 = _30611), 72 ^ _28263 : [(73 ^ _28263) ^ [] : [-(member(69 ^ [_30611, _30613], _30613))], (75 ^ _28263) ^ [] : [member(69 ^ [_30611, _30613], _30611)]], 76 ^ _28263 : [(77 ^ _28263) ^ [] : [-(member(69 ^ [_30611, _30613], _30611))], (79 ^ _28263) ^ [] : [member(69 ^ [_30611, _30613], _30613)]]], (93 ^ _28263) ^ [_31452, _31454, _31456] : [94 ^ _28263 : [(95 ^ _28263) ^ [] : [member(_31452, _31456)], (97 ^ _28263) ^ [] : [member(_31452, _31454)]], -(member(_31452, union(_31456, _31454)))], (83 ^ _28263) ^ [_31184, _31186, _31188] : [member(_31184, union(_31188, _31186)), -(member(_31184, _31188)), -(member(_31184, _31186))], (101 ^ _28263) ^ [_31795, _31797, _31799] : [member(_31795, difference(_31799, _31797)), 104 ^ _28263 : [(105 ^ _28263) ^ [] : [-(member(_31795, _31799))], (107 ^ _28263) ^ [] : [member(_31795, _31797)]]], (109 ^ _28263) ^ [_32047, _32049, _32051] : [-(member(_32047, difference(_32051, _32049))), member(_32047, _32051), -(member(_32047, _32049))], (129 ^ _28263) ^ [_32710, _32712] : [131 ^ _28263 : [(132 ^ _28263) ^ [] : [-(member(130 ^ [_32710, _32712], _32712))], (134 ^ _28263) ^ [] : [member(130 ^ [_32710, _32712], _32710)]], -(subset(_32712, _32710))], (119 ^ _28263) ^ [_32396, _32398] : [subset(_32398, _32396), 122 ^ _28263 : [(123 ^ _28263) ^ [_32533] : [member(_32533, _32398), -(member(_32533, _32396))]]], (138 ^ _28263) ^ [_33096, _33098] : [_33098 = _33096, 141 ^ _28263 : [(142 ^ _28263) ^ [] : [-(subset(_33098, _33096))], (144 ^ _28263) ^ [] : [-(subset(_33096, _33098))]]], (146 ^ _28263) ^ [_33333, _33335] : [-(_33335 = _33333), subset(_33335, _33333), subset(_33333, _33335)], (156 ^ _28263) ^ [_33619, _33621] : [-(union(_33621, _33619) = union(_33619, _33621))], (189 ^ _28263) ^ [_34763] : [-(subset(_34763, _34763))], (174 ^ _28263) ^ [_34280, _34282] : [-(_34282 = _34280), 178 ^ _28263 : [(179 ^ _28263) ^ [] : [-(member(175 ^ [_34280, _34282], _34282))], (181 ^ _28263) ^ [] : [member(175 ^ [_34280, _34282], _34280)]], 182 ^ _28263 : [(183 ^ _28263) ^ [] : [-(member(175 ^ [_34280, _34282], _34280))], (185 ^ _28263) ^ [] : [member(175 ^ [_34280, _34282], _34282)]]], (158 ^ _28263) ^ [_33763, _33765] : [_33765 = _33763, 161 ^ _28263 : [(162 ^ _28263) ^ [_33929] : [member(_33929, _33765), -(member(_33929, _33763))], (168 ^ _28263) ^ [_34101] : [member(_34101, _33763), -(member(_34101, _33765))]]]], input).
% 0.41/1.37  ncf('1',plain,[191 ^ [] = union(190 ^ [], difference(191 ^ [], 190 ^ []))],start(195 ^ 0)).
% 0.41/1.37  ncf('1.1',plain,[-(191 ^ [] = union(190 ^ [], difference(191 ^ [], 190 ^ []))), 73 : -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ [])), 77 : -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ []))))],extension(68 ^ 1,bind([[_30611, _30613], [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []]]))).
% 0.41/1.37  ncf('1.1.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ []), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ []))), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ []))],extension(109 ^ 4,bind([[_32047, _32049, _32051], [69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ [], 191 ^ []]]))).
% 0.41/1.37  ncf('1.1.1.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ [])), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ []))))],extension(93 ^ 5,bind([[_31452, _31454, _31456], [69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ []), 190 ^ []]]))).
% 0.41/1.37  ncf('1.1.1.1.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ [])))],extension(75 ^ 6)).
% 0.41/1.37  ncf('1.1.1.2',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ []), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ []))))],extension(93 ^ 5,bind([[_31452, _31454, _31456], [69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ []), 190 ^ []]]))).
% 0.41/1.37  ncf('1.1.1.2.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ [])))],extension(75 ^ 6)).
% 0.41/1.37  ncf('1.1.2',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], union(190 ^ [], difference(191 ^ [], 190 ^ []))), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ [])), -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ [])))],extension(83 ^ 4,bind([[_31184, _31186, _31188], [69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ []), 190 ^ []]]))).
% 0.41/1.37  ncf('1.1.2.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ []), 123 : -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ [])), 123 : subset(190 ^ [], 191 ^ [])],extension(119 ^ 5,bind([[_32396, _32398, _32533], [191 ^ [], 190 ^ [], 69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []]]]))).
% 0.41/1.37  ncf('1.1.2.1.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ [])],extension(79 ^ 8)).
% 0.41/1.37  ncf('1.1.2.1.2',plain,[-(subset(190 ^ [], 191 ^ []))],extension(193 ^ 6)).
% 0.41/1.37  ncf('1.1.2.2',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], difference(191 ^ [], 190 ^ [])), 105 : -(member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ []))],extension(101 ^ 5,bind([[_31795, _31797, _31799], [69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 190 ^ [], 191 ^ []]]))).
% 0.41/1.37  ncf('1.1.2.2.1',plain,[member(69 ^ [union(190 ^ [], difference(191 ^ [], 190 ^ [])), 191 ^ []], 191 ^ [])],extension(79 ^ 8)).
% 0.41/1.37  %-----------------------------------------------------
% 0.41/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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