TSTP Solution File: SET705+4 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:56:19 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n021.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 18:51:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(300 ^ _39104) ^ [] : [member(298 ^ [], power_set(298 ^ []))], (2 ^ _39104) ^ [_39248] : [-(_39248 = _39248)], (4 ^ _39104) ^ [_39355, _39357] : [_39357 = _39355, -(_39355 = _39357)], (10 ^ _39104) ^ [_39559, _39561, _39563] : [-(_39563 = _39559), _39563 = _39561, _39561 = _39559], (20 ^ _39104) ^ [_39900, _39902, _39904, _39906] : [-(equal_set(_39904, _39900)), equal_set(_39906, _39902), _39906 = _39904, _39902 = _39900], (34 ^ _39104) ^ [_40344, _40346, _40348, _40350] : [-(subset(_40348, _40344)), subset(_40350, _40346), _40350 = _40348, _40346 = _40344], (48 ^ _39104) ^ [_40768, _40770, _40772, _40774] : [-(member(_40772, _40768)), member(_40774, _40770), _40774 = _40772, _40770 = _40768], (62 ^ _39104) ^ [_41222, _41224, _41226, _41228] : [-(intersection(_41228, _41224) = intersection(_41226, _41222)), _41228 = _41226, _41224 = _41222], (72 ^ _39104) ^ [_41581, _41583, _41585, _41587] : [-(union(_41587, _41583) = union(_41585, _41581)), _41587 = _41585, _41583 = _41581], (82 ^ _39104) ^ [_41940, _41942, _41944, _41946] : [-(difference(_41946, _41942) = difference(_41944, _41940)), _41946 = _41944, _41942 = _41940], (92 ^ _39104) ^ [_42271, _42273] : [_42273 = _42271, -(singleton(_42273) = singleton(_42271))], (98 ^ _39104) ^ [_42517, _42519, _42521, _42523] : [-(unordered_pair(_42523, _42519) = unordered_pair(_42521, _42517)), _42523 = _42521, _42519 = _42517], (108 ^ _39104) ^ [_42848, _42850] : [_42850 = _42848, -(sum(_42850) = sum(_42848))], (114 ^ _39104) ^ [_43066, _43068] : [_43068 = _43066, -(product(_43068) = product(_43066))], (120 ^ _39104) ^ [_43264, _43266] : [_43266 = _43264, -(power_set(_43266) = power_set(_43264))], (136 ^ _39104) ^ [_43851, _43853] : [138 ^ _39104 : [(139 ^ _39104) ^ [] : [-(member(137 ^ [_43851, _43853], _43853))], (141 ^ _39104) ^ [] : [member(137 ^ [_43851, _43853], _43851)]], -(subset(_43853, _43851))], (126 ^ _39104) ^ [_43537, _43539] : [subset(_43539, _43537), 129 ^ _39104 : [(130 ^ _39104) ^ [_43674] : [member(_43674, _43539), -(member(_43674, _43537))]]], (145 ^ _39104) ^ [_44237, _44239] : [equal_set(_44239, _44237), 148 ^ _39104 : [(149 ^ _39104) ^ [] : [-(subset(_44239, _44237))], (151 ^ _39104) ^ [] : [-(subset(_44237, _44239))]]], (153 ^ _39104) ^ [_44474, _44476] : [-(equal_set(_44476, _44474)), subset(_44476, _44474), subset(_44474, _44476)], (163 ^ _39104) ^ [_44804, _44806] : [member(_44806, power_set(_44804)), -(subset(_44806, _44804))], (169 ^ _39104) ^ [_44970, _44972] : [subset(_44972, _44970), -(member(_44972, power_set(_44970)))], (175 ^ _39104) ^ [_45229, _45231, _45233] : [member(_45233, intersection(_45231, _45229)), 178 ^ _39104 : [(179 ^ _39104) ^ [] : [-(member(_45233, _45231))], (181 ^ _39104) ^ [] : [-(member(_45233, _45229))]]], (183 ^ _39104) ^ [_45480, _45482, _45484] : [-(member(_45484, intersection(_45482, _45480))), member(_45484, _45482), member(_45484, _45480)], (203 ^ _39104) ^ [_46108, _46110, _46112] : [204 ^ _39104 : [(205 ^ _39104) ^ [] : [member(_46112, _46110)], (207 ^ _39104) ^ [] : [member(_46112, _46108)]], -(member(_46112, union(_46110, _46108)))], (193 ^ _39104) ^ [_45840, _45842, _45844] : [member(_45844, union(_45842, _45840)), -(member(_45844, _45842)), -(member(_45844, _45840))], (211 ^ _39104) ^ [_46378] : [member(_46378, empty_set)], (213 ^ _39104) ^ [_46528, _46530, _46532] : [member(_46532, difference(_46528, _46530)), 216 ^ _39104 : [(217 ^ _39104) ^ [] : [-(member(_46532, _46528))], (219 ^ _39104) ^ [] : [member(_46532, _46530)]]], (221 ^ _39104) ^ [_46780, _46782, _46784] : [-(member(_46784, difference(_46780, _46782))), member(_46784, _46780), -(member(_46784, _46782))], (231 ^ _39104) ^ [_47129, _47131] : [member(_47131, singleton(_47129)), -(_47131 = _47129)], (237 ^ _39104) ^ [_47295, _47297] : [_47297 = _47295, -(member(_47297, singleton(_47295)))], (253 ^ _39104) ^ [_47822, _47824, _47826] : [254 ^ _39104 : [(255 ^ _39104) ^ [] : [_47826 = _47824], (257 ^ _39104) ^ [] : [_47826 = _47822]], -(member(_47826, unordered_pair(_47824, _47822)))], (243 ^ _39104) ^ [_47554, _47556, _47558] : [member(_47558, unordered_pair(_47556, _47554)), -(_47558 = _47556), -(_47558 = _47554)], (261 ^ _39104) ^ [_48151, _48153] : [member(_48153, sum(_48151)), 265 ^ _39104 : [(266 ^ _39104) ^ [] : [-(member(264 ^ [_48151, _48153], _48151))], (268 ^ _39104) ^ [] : [-(member(_48153, 264 ^ [_48151, _48153]))]]], (270 ^ _39104) ^ [_48462, _48464] : [-(member(_48464, sum(_48462))), 271 ^ _39104 : [(272 ^ _39104) ^ [_48556] : [member(_48556, _48462), member(_48464, _48556)]]], (290 ^ _39104) ^ [_49157, _49159] : [292 ^ _39104 : [(293 ^ _39104) ^ [] : [-(member(291 ^ [_49157, _49159], _49157))], (295 ^ _39104) ^ [] : [member(_49159, 291 ^ [_49157, _49159])]], -(member(_49159, product(_49157)))], (280 ^ _39104) ^ [_48839, _48841] : [member(_48841, product(_48839)), 283 ^ _39104 : [(284 ^ _39104) ^ [_48980] : [member(_48980, _48839), -(member(_48841, _48980))]]]], input).
% 0.34/1.38  ncf('1',plain,[member(298 ^ [], power_set(298 ^ []))],start(300 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(member(298 ^ [], power_set(298 ^ []))), subset(298 ^ [], 298 ^ [])],extension(169 ^ 1,bind([[_44970, _44972], [298 ^ [], 298 ^ []]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(subset(298 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 2,bind([[_43851, _43853], [298 ^ [], 298 ^ []]]))).
% 0.34/1.38  ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], 298 ^ []], 298 ^ [])],extension(141 ^ 5)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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