TSTP Solution File: SET687+4 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 11:56:17 EDT 2023

% Result   : Theorem 0.23s 1.34s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10  % Command  : nanocop.sh %s %d
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu May 18 19:06:04 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.23/1.34  
% 0.23/1.34  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.23/1.34  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/1.34  %-----------------------------------------------------
% 0.23/1.34  ncf(matrix, plain, [(300 ^ _38889) ^ [] : [subset(298 ^ [], 298 ^ [])], (2 ^ _38889) ^ [_39033] : [-(_39033 = _39033)], (4 ^ _38889) ^ [_39140, _39142] : [_39142 = _39140, -(_39140 = _39142)], (10 ^ _38889) ^ [_39344, _39346, _39348] : [-(_39348 = _39344), _39348 = _39346, _39346 = _39344], (20 ^ _38889) ^ [_39685, _39687, _39689, _39691] : [-(equal_set(_39689, _39685)), equal_set(_39691, _39687), _39691 = _39689, _39687 = _39685], (34 ^ _38889) ^ [_40129, _40131, _40133, _40135] : [-(member(_40133, _40129)), member(_40135, _40131), _40135 = _40133, _40131 = _40129], (48 ^ _38889) ^ [_40553, _40555, _40557, _40559] : [-(subset(_40557, _40553)), subset(_40559, _40555), _40559 = _40557, _40555 = _40553], (62 ^ _38889) ^ [_40979, _40981] : [_40981 = _40979, -(power_set(_40981) = power_set(_40979))], (68 ^ _38889) ^ [_41225, _41227, _41229, _41231] : [-(intersection(_41231, _41227) = intersection(_41229, _41225)), _41231 = _41229, _41227 = _41225], (78 ^ _38889) ^ [_41584, _41586, _41588, _41590] : [-(union(_41590, _41586) = union(_41588, _41584)), _41590 = _41588, _41586 = _41584], (88 ^ _38889) ^ [_41943, _41945, _41947, _41949] : [-(difference(_41949, _41945) = difference(_41947, _41943)), _41949 = _41947, _41945 = _41943], (98 ^ _38889) ^ [_42274, _42276] : [_42276 = _42274, -(singleton(_42276) = singleton(_42274))], (104 ^ _38889) ^ [_42520, _42522, _42524, _42526] : [-(unordered_pair(_42526, _42522) = unordered_pair(_42524, _42520)), _42526 = _42524, _42522 = _42520], (114 ^ _38889) ^ [_42851, _42853] : [_42853 = _42851, -(sum(_42853) = sum(_42851))], (120 ^ _38889) ^ [_43049, _43051] : [_43051 = _43049, -(product(_43051) = product(_43049))], (136 ^ _38889) ^ [_43636, _43638] : [138 ^ _38889 : [(139 ^ _38889) ^ [] : [-(member(137 ^ [_43636, _43638], _43638))], (141 ^ _38889) ^ [] : [member(137 ^ [_43636, _43638], _43636)]], -(subset(_43638, _43636))], (126 ^ _38889) ^ [_43322, _43324] : [subset(_43324, _43322), 129 ^ _38889 : [(130 ^ _38889) ^ [_43459] : [member(_43459, _43324), -(member(_43459, _43322))]]], (145 ^ _38889) ^ [_44022, _44024] : [equal_set(_44024, _44022), 148 ^ _38889 : [(149 ^ _38889) ^ [] : [-(subset(_44024, _44022))], (151 ^ _38889) ^ [] : [-(subset(_44022, _44024))]]], (153 ^ _38889) ^ [_44259, _44261] : [-(equal_set(_44261, _44259)), subset(_44261, _44259), subset(_44259, _44261)], (163 ^ _38889) ^ [_44589, _44591] : [member(_44591, power_set(_44589)), -(subset(_44591, _44589))], (169 ^ _38889) ^ [_44755, _44757] : [subset(_44757, _44755), -(member(_44757, power_set(_44755)))], (175 ^ _38889) ^ [_45014, _45016, _45018] : [member(_45018, intersection(_45016, _45014)), 178 ^ _38889 : [(179 ^ _38889) ^ [] : [-(member(_45018, _45016))], (181 ^ _38889) ^ [] : [-(member(_45018, _45014))]]], (183 ^ _38889) ^ [_45265, _45267, _45269] : [-(member(_45269, intersection(_45267, _45265))), member(_45269, _45267), member(_45269, _45265)], (203 ^ _38889) ^ [_45893, _45895, _45897] : [204 ^ _38889 : [(205 ^ _38889) ^ [] : [member(_45897, _45895)], (207 ^ _38889) ^ [] : [member(_45897, _45893)]], -(member(_45897, union(_45895, _45893)))], (193 ^ _38889) ^ [_45625, _45627, _45629] : [member(_45629, union(_45627, _45625)), -(member(_45629, _45627)), -(member(_45629, _45625))], (211 ^ _38889) ^ [_46163] : [member(_46163, empty_set)], (213 ^ _38889) ^ [_46313, _46315, _46317] : [member(_46317, difference(_46313, _46315)), 216 ^ _38889 : [(217 ^ _38889) ^ [] : [-(member(_46317, _46313))], (219 ^ _38889) ^ [] : [member(_46317, _46315)]]], (221 ^ _38889) ^ [_46565, _46567, _46569] : [-(member(_46569, difference(_46565, _46567))), member(_46569, _46565), -(member(_46569, _46567))], (231 ^ _38889) ^ [_46914, _46916] : [member(_46916, singleton(_46914)), -(_46916 = _46914)], (237 ^ _38889) ^ [_47080, _47082] : [_47082 = _47080, -(member(_47082, singleton(_47080)))], (253 ^ _38889) ^ [_47607, _47609, _47611] : [254 ^ _38889 : [(255 ^ _38889) ^ [] : [_47611 = _47609], (257 ^ _38889) ^ [] : [_47611 = _47607]], -(member(_47611, unordered_pair(_47609, _47607)))], (243 ^ _38889) ^ [_47339, _47341, _47343] : [member(_47343, unordered_pair(_47341, _47339)), -(_47343 = _47341), -(_47343 = _47339)], (261 ^ _38889) ^ [_47936, _47938] : [member(_47938, sum(_47936)), 265 ^ _38889 : [(266 ^ _38889) ^ [] : [-(member(264 ^ [_47936, _47938], _47936))], (268 ^ _38889) ^ [] : [-(member(_47938, 264 ^ [_47936, _47938]))]]], (270 ^ _38889) ^ [_48247, _48249] : [-(member(_48249, sum(_48247))), 271 ^ _38889 : [(272 ^ _38889) ^ [_48341] : [member(_48341, _48247), member(_48249, _48341)]]], (290 ^ _38889) ^ [_48942, _48944] : [292 ^ _38889 : [(293 ^ _38889) ^ [] : [-(member(291 ^ [_48942, _48944], _48942))], (295 ^ _38889) ^ [] : [member(_48944, 291 ^ [_48942, _48944])]], -(member(_48944, product(_48942)))], (280 ^ _38889) ^ [_48624, _48626] : [member(_48626, product(_48624)), 283 ^ _38889 : [(284 ^ _38889) ^ [_48765] : [member(_48765, _48624), -(member(_48626, _48765))]]]], input).
% 0.23/1.34  ncf('1',plain,[subset(298 ^ [], 298 ^ [])],start(300 ^ 0)).
% 0.23/1.34  ncf('1.1',plain,[-(subset(298 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 1,bind([[_43636, _43638], [298 ^ [], 298 ^ []]]))).
% 0.23/1.34  ncf('1.1.1',plain,[member(137 ^ [298 ^ [], 298 ^ []], 298 ^ [])],extension(141 ^ 4)).
% 0.23/1.34  %-----------------------------------------------------
% 0.23/1.34  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------