TSTP Solution File: SET019+4 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 11:55:06 EDT 2023

% Result   : Theorem 0.31s 1.37s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET019+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 19:39:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.37  
% 0.31/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  ncf(matrix, plain, [(301 ^ _39480) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (303 ^ _39480) ^ [] : [-(subset(299 ^ [], 298 ^ []))], (305 ^ _39480) ^ [] : [equal_set(298 ^ [], 299 ^ [])], (2 ^ _39480) ^ [_39624] : [-(_39624 = _39624)], (4 ^ _39480) ^ [_39731, _39733] : [_39733 = _39731, -(_39731 = _39733)], (10 ^ _39480) ^ [_39935, _39937, _39939] : [-(_39939 = _39935), _39939 = _39937, _39937 = _39935], (20 ^ _39480) ^ [_40276, _40278, _40280, _40282] : [-(member(_40280, _40276)), member(_40282, _40278), _40282 = _40280, _40278 = _40276], (34 ^ _39480) ^ [_40720, _40722, _40724, _40726] : [-(subset(_40724, _40720)), subset(_40726, _40722), _40726 = _40724, _40722 = _40720], (48 ^ _39480) ^ [_41144, _41146, _41148, _41150] : [-(equal_set(_41148, _41144)), equal_set(_41150, _41146), _41150 = _41148, _41146 = _41144], (62 ^ _39480) ^ [_41570, _41572] : [_41572 = _41570, -(power_set(_41572) = power_set(_41570))], (68 ^ _39480) ^ [_41816, _41818, _41820, _41822] : [-(intersection(_41822, _41818) = intersection(_41820, _41816)), _41822 = _41820, _41818 = _41816], (78 ^ _39480) ^ [_42175, _42177, _42179, _42181] : [-(union(_42181, _42177) = union(_42179, _42175)), _42181 = _42179, _42177 = _42175], (88 ^ _39480) ^ [_42534, _42536, _42538, _42540] : [-(difference(_42540, _42536) = difference(_42538, _42534)), _42540 = _42538, _42536 = _42534], (98 ^ _39480) ^ [_42865, _42867] : [_42867 = _42865, -(singleton(_42867) = singleton(_42865))], (104 ^ _39480) ^ [_43111, _43113, _43115, _43117] : [-(unordered_pair(_43117, _43113) = unordered_pair(_43115, _43111)), _43117 = _43115, _43113 = _43111], (114 ^ _39480) ^ [_43442, _43444] : [_43444 = _43442, -(sum(_43444) = sum(_43442))], (120 ^ _39480) ^ [_43640, _43642] : [_43642 = _43640, -(product(_43642) = product(_43640))], (136 ^ _39480) ^ [_44227, _44229] : [138 ^ _39480 : [(139 ^ _39480) ^ [] : [-(member(137 ^ [_44227, _44229], _44229))], (141 ^ _39480) ^ [] : [member(137 ^ [_44227, _44229], _44227)]], -(subset(_44229, _44227))], (126 ^ _39480) ^ [_43913, _43915] : [subset(_43915, _43913), 129 ^ _39480 : [(130 ^ _39480) ^ [_44050] : [member(_44050, _43915), -(member(_44050, _43913))]]], (145 ^ _39480) ^ [_44613, _44615] : [equal_set(_44615, _44613), 148 ^ _39480 : [(149 ^ _39480) ^ [] : [-(subset(_44615, _44613))], (151 ^ _39480) ^ [] : [-(subset(_44613, _44615))]]], (153 ^ _39480) ^ [_44850, _44852] : [-(equal_set(_44852, _44850)), subset(_44852, _44850), subset(_44850, _44852)], (163 ^ _39480) ^ [_45180, _45182] : [member(_45182, power_set(_45180)), -(subset(_45182, _45180))], (169 ^ _39480) ^ [_45346, _45348] : [subset(_45348, _45346), -(member(_45348, power_set(_45346)))], (175 ^ _39480) ^ [_45605, _45607, _45609] : [member(_45609, intersection(_45607, _45605)), 178 ^ _39480 : [(179 ^ _39480) ^ [] : [-(member(_45609, _45607))], (181 ^ _39480) ^ [] : [-(member(_45609, _45605))]]], (183 ^ _39480) ^ [_45856, _45858, _45860] : [-(member(_45860, intersection(_45858, _45856))), member(_45860, _45858), member(_45860, _45856)], (203 ^ _39480) ^ [_46484, _46486, _46488] : [204 ^ _39480 : [(205 ^ _39480) ^ [] : [member(_46488, _46486)], (207 ^ _39480) ^ [] : [member(_46488, _46484)]], -(member(_46488, union(_46486, _46484)))], (193 ^ _39480) ^ [_46216, _46218, _46220] : [member(_46220, union(_46218, _46216)), -(member(_46220, _46218)), -(member(_46220, _46216))], (211 ^ _39480) ^ [_46754] : [member(_46754, empty_set)], (213 ^ _39480) ^ [_46904, _46906, _46908] : [member(_46908, difference(_46904, _46906)), 216 ^ _39480 : [(217 ^ _39480) ^ [] : [-(member(_46908, _46904))], (219 ^ _39480) ^ [] : [member(_46908, _46906)]]], (221 ^ _39480) ^ [_47156, _47158, _47160] : [-(member(_47160, difference(_47156, _47158))), member(_47160, _47156), -(member(_47160, _47158))], (231 ^ _39480) ^ [_47505, _47507] : [member(_47507, singleton(_47505)), -(_47507 = _47505)], (237 ^ _39480) ^ [_47671, _47673] : [_47673 = _47671, -(member(_47673, singleton(_47671)))], (253 ^ _39480) ^ [_48198, _48200, _48202] : [254 ^ _39480 : [(255 ^ _39480) ^ [] : [_48202 = _48200], (257 ^ _39480) ^ [] : [_48202 = _48198]], -(member(_48202, unordered_pair(_48200, _48198)))], (243 ^ _39480) ^ [_47930, _47932, _47934] : [member(_47934, unordered_pair(_47932, _47930)), -(_47934 = _47932), -(_47934 = _47930)], (261 ^ _39480) ^ [_48527, _48529] : [member(_48529, sum(_48527)), 265 ^ _39480 : [(266 ^ _39480) ^ [] : [-(member(264 ^ [_48527, _48529], _48527))], (268 ^ _39480) ^ [] : [-(member(_48529, 264 ^ [_48527, _48529]))]]], (270 ^ _39480) ^ [_48838, _48840] : [-(member(_48840, sum(_48838))), 271 ^ _39480 : [(272 ^ _39480) ^ [_48932] : [member(_48932, _48838), member(_48840, _48932)]]], (290 ^ _39480) ^ [_49533, _49535] : [292 ^ _39480 : [(293 ^ _39480) ^ [] : [-(member(291 ^ [_49533, _49535], _49533))], (295 ^ _39480) ^ [] : [member(_49535, 291 ^ [_49533, _49535])]], -(member(_49535, product(_49533)))], (280 ^ _39480) ^ [_49215, _49217] : [member(_49217, product(_49215)), 283 ^ _39480 : [(284 ^ _39480) ^ [_49356] : [member(_49356, _49215), -(member(_49217, _49356))]]]], input).
% 0.31/1.37  ncf('1',plain,[equal_set(298 ^ [], 299 ^ [])],start(305 ^ 0)).
% 0.31/1.37  ncf('1.1',plain,[-(equal_set(298 ^ [], 299 ^ [])), subset(298 ^ [], 299 ^ []), subset(299 ^ [], 298 ^ [])],extension(153 ^ 1,bind([[_44850, _44852], [299 ^ [], 298 ^ []]]))).
% 0.31/1.37  ncf('1.1.1',plain,[-(subset(298 ^ [], 299 ^ []))],extension(301 ^ 2)).
% 0.31/1.37  ncf('1.1.2',plain,[-(subset(299 ^ [], 298 ^ []))],extension(303 ^ 2)).
% 0.31/1.37  %-----------------------------------------------------
% 0.31/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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