TSTP Solution File: SET095+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET095+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:55:22 EDT 2023

% Result   : Theorem 1.42s 2.41s
% Output   : Proof 1.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET095+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n024.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 19:13:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.42/2.41  
% 1.42/2.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.42/2.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.42/2.41  %-----------------------------------------------------
% 1.42/2.41  ncf(matrix, plain, [(301 ^ _40104) ^ [] : [-(member(299 ^ [], 298 ^ []))], (303 ^ _40104) ^ [] : [subset(singleton(299 ^ []), 298 ^ [])], (2 ^ _40104) ^ [_40248] : [-(_40248 = _40248)], (4 ^ _40104) ^ [_40355, _40357] : [_40357 = _40355, -(_40355 = _40357)], (10 ^ _40104) ^ [_40559, _40561, _40563] : [-(_40563 = _40559), _40563 = _40561, _40561 = _40559], (20 ^ _40104) ^ [_40900, _40902, _40904, _40906] : [-(equal_set(_40904, _40900)), equal_set(_40906, _40902), _40906 = _40904, _40902 = _40900], (34 ^ _40104) ^ [_41344, _41346, _41348, _41350] : [-(member(_41348, _41344)), member(_41350, _41346), _41350 = _41348, _41346 = _41344], (48 ^ _40104) ^ [_41768, _41770, _41772, _41774] : [-(subset(_41772, _41768)), subset(_41774, _41770), _41774 = _41772, _41770 = _41768], (62 ^ _40104) ^ [_42194, _42196] : [_42196 = _42194, -(power_set(_42196) = power_set(_42194))], (68 ^ _40104) ^ [_42440, _42442, _42444, _42446] : [-(intersection(_42446, _42442) = intersection(_42444, _42440)), _42446 = _42444, _42442 = _42440], (78 ^ _40104) ^ [_42799, _42801, _42803, _42805] : [-(union(_42805, _42801) = union(_42803, _42799)), _42805 = _42803, _42801 = _42799], (88 ^ _40104) ^ [_43158, _43160, _43162, _43164] : [-(difference(_43164, _43160) = difference(_43162, _43158)), _43164 = _43162, _43160 = _43158], (98 ^ _40104) ^ [_43517, _43519, _43521, _43523] : [-(unordered_pair(_43523, _43519) = unordered_pair(_43521, _43517)), _43523 = _43521, _43519 = _43517], (108 ^ _40104) ^ [_43848, _43850] : [_43850 = _43848, -(sum(_43850) = sum(_43848))], (114 ^ _40104) ^ [_44066, _44068] : [_44068 = _44066, -(product(_44068) = product(_44066))], (120 ^ _40104) ^ [_44264, _44266] : [_44266 = _44264, -(singleton(_44266) = singleton(_44264))], (136 ^ _40104) ^ [_44851, _44853] : [138 ^ _40104 : [(139 ^ _40104) ^ [] : [-(member(137 ^ [_44851, _44853], _44853))], (141 ^ _40104) ^ [] : [member(137 ^ [_44851, _44853], _44851)]], -(subset(_44853, _44851))], (126 ^ _40104) ^ [_44537, _44539] : [subset(_44539, _44537), 129 ^ _40104 : [(130 ^ _40104) ^ [_44674] : [member(_44674, _44539), -(member(_44674, _44537))]]], (145 ^ _40104) ^ [_45237, _45239] : [equal_set(_45239, _45237), 148 ^ _40104 : [(149 ^ _40104) ^ [] : [-(subset(_45239, _45237))], (151 ^ _40104) ^ [] : [-(subset(_45237, _45239))]]], (153 ^ _40104) ^ [_45474, _45476] : [-(equal_set(_45476, _45474)), subset(_45476, _45474), subset(_45474, _45476)], (163 ^ _40104) ^ [_45804, _45806] : [member(_45806, power_set(_45804)), -(subset(_45806, _45804))], (169 ^ _40104) ^ [_45970, _45972] : [subset(_45972, _45970), -(member(_45972, power_set(_45970)))], (175 ^ _40104) ^ [_46229, _46231, _46233] : [member(_46233, intersection(_46231, _46229)), 178 ^ _40104 : [(179 ^ _40104) ^ [] : [-(member(_46233, _46231))], (181 ^ _40104) ^ [] : [-(member(_46233, _46229))]]], (183 ^ _40104) ^ [_46480, _46482, _46484] : [-(member(_46484, intersection(_46482, _46480))), member(_46484, _46482), member(_46484, _46480)], (203 ^ _40104) ^ [_47108, _47110, _47112] : [204 ^ _40104 : [(205 ^ _40104) ^ [] : [member(_47112, _47110)], (207 ^ _40104) ^ [] : [member(_47112, _47108)]], -(member(_47112, union(_47110, _47108)))], (193 ^ _40104) ^ [_46840, _46842, _46844] : [member(_46844, union(_46842, _46840)), -(member(_46844, _46842)), -(member(_46844, _46840))], (211 ^ _40104) ^ [_47378] : [member(_47378, empty_set)], (213 ^ _40104) ^ [_47528, _47530, _47532] : [member(_47532, difference(_47528, _47530)), 216 ^ _40104 : [(217 ^ _40104) ^ [] : [-(member(_47532, _47528))], (219 ^ _40104) ^ [] : [member(_47532, _47530)]]], (221 ^ _40104) ^ [_47780, _47782, _47784] : [-(member(_47784, difference(_47780, _47782))), member(_47784, _47780), -(member(_47784, _47782))], (231 ^ _40104) ^ [_48129, _48131] : [member(_48131, singleton(_48129)), -(_48131 = _48129)], (237 ^ _40104) ^ [_48295, _48297] : [_48297 = _48295, -(member(_48297, singleton(_48295)))], (253 ^ _40104) ^ [_48822, _48824, _48826] : [254 ^ _40104 : [(255 ^ _40104) ^ [] : [_48826 = _48824], (257 ^ _40104) ^ [] : [_48826 = _48822]], -(member(_48826, unordered_pair(_48824, _48822)))], (243 ^ _40104) ^ [_48554, _48556, _48558] : [member(_48558, unordered_pair(_48556, _48554)), -(_48558 = _48556), -(_48558 = _48554)], (261 ^ _40104) ^ [_49151, _49153] : [member(_49153, sum(_49151)), 265 ^ _40104 : [(266 ^ _40104) ^ [] : [-(member(264 ^ [_49151, _49153], _49151))], (268 ^ _40104) ^ [] : [-(member(_49153, 264 ^ [_49151, _49153]))]]], (270 ^ _40104) ^ [_49462, _49464] : [-(member(_49464, sum(_49462))), 271 ^ _40104 : [(272 ^ _40104) ^ [_49556] : [member(_49556, _49462), member(_49464, _49556)]]], (290 ^ _40104) ^ [_50157, _50159] : [292 ^ _40104 : [(293 ^ _40104) ^ [] : [-(member(291 ^ [_50157, _50159], _50157))], (295 ^ _40104) ^ [] : [member(_50159, 291 ^ [_50157, _50159])]], -(member(_50159, product(_50157)))], (280 ^ _40104) ^ [_49839, _49841] : [member(_49841, product(_49839)), 283 ^ _40104 : [(284 ^ _40104) ^ [_49980] : [member(_49980, _49839), -(member(_49841, _49980))]]]], input).
% 1.42/2.41  ncf('1',plain,[subset(singleton(299 ^ []), 298 ^ [])],start(303 ^ 0)).
% 1.42/2.41  ncf('1.1',plain,[-(subset(singleton(299 ^ []), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], singleton(299 ^ [])], singleton(299 ^ [])))],extension(136 ^ 1,bind([[_44851, _44853], [298 ^ [], singleton(299 ^ [])]]))).
% 1.42/2.41  ncf('1.1.1',plain,[member(137 ^ [298 ^ [], singleton(299 ^ [])], singleton(299 ^ [])), -(137 ^ [298 ^ [], singleton(299 ^ [])] = 299 ^ [])],extension(231 ^ 4,bind([[_48129, _48131], [299 ^ [], 137 ^ [298 ^ [], singleton(299 ^ [])]]]))).
% 1.42/2.41  ncf('1.1.1.1',plain,[137 ^ [298 ^ [], singleton(299 ^ [])] = 299 ^ [], -(299 ^ [] = 137 ^ [298 ^ [], singleton(299 ^ [])])],extension(4 ^ 5,bind([[_40355, _40357], [299 ^ [], 137 ^ [298 ^ [], singleton(299 ^ [])]]]))).
% 1.42/2.41  ncf('1.1.1.1.1',plain,[299 ^ [] = 137 ^ [298 ^ [], singleton(299 ^ [])], -(member(137 ^ [298 ^ [], singleton(299 ^ [])], 298 ^ [])), member(299 ^ [], 298 ^ []), 298 ^ [] = 298 ^ []],extension(34 ^ 6,bind([[_41344, _41346, _41348, _41350], [298 ^ [], 298 ^ [], 137 ^ [298 ^ [], singleton(299 ^ [])], 299 ^ []]]))).
% 1.42/2.41  ncf('1.1.1.1.1.1',plain,[member(137 ^ [298 ^ [], singleton(299 ^ [])], 298 ^ [])],extension(141 ^ 7)).
% 1.42/2.41  ncf('1.1.1.1.1.2',plain,[-(member(299 ^ [], 298 ^ []))],extension(301 ^ 7)).
% 1.42/2.41  ncf('1.1.1.1.1.3',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 7,bind([[_40248], [298 ^ []]]))).
% 1.42/2.41  %-----------------------------------------------------
% 1.42/2.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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