TSTP Solution File: SET366+4 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 11:55:46 EDT 2023

% Result   : Theorem 0.33s 1.36s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET366+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May 18 19:12:57 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.33/1.36  
% 0.33/1.36  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.36  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.36  %-----------------------------------------------------
% 0.33/1.36  ncf(matrix, plain, [(300 ^ _38888) ^ [] : [member(empty_set, power_set(298 ^ []))], (2 ^ _38888) ^ [_39032] : [-(_39032 = _39032)], (4 ^ _38888) ^ [_39139, _39141] : [_39141 = _39139, -(_39139 = _39141)], (10 ^ _38888) ^ [_39343, _39345, _39347] : [-(_39347 = _39343), _39347 = _39345, _39345 = _39343], (20 ^ _38888) ^ [_39684, _39686, _39688, _39690] : [-(equal_set(_39688, _39684)), equal_set(_39690, _39686), _39690 = _39688, _39686 = _39684], (34 ^ _38888) ^ [_40128, _40130, _40132, _40134] : [-(subset(_40132, _40128)), subset(_40134, _40130), _40134 = _40132, _40130 = _40128], (48 ^ _38888) ^ [_40552, _40554, _40556, _40558] : [-(member(_40556, _40552)), member(_40558, _40554), _40558 = _40556, _40554 = _40552], (62 ^ _38888) ^ [_41006, _41008, _41010, _41012] : [-(intersection(_41012, _41008) = intersection(_41010, _41006)), _41012 = _41010, _41008 = _41006], (72 ^ _38888) ^ [_41365, _41367, _41369, _41371] : [-(union(_41371, _41367) = union(_41369, _41365)), _41371 = _41369, _41367 = _41365], (82 ^ _38888) ^ [_41724, _41726, _41728, _41730] : [-(difference(_41730, _41726) = difference(_41728, _41724)), _41730 = _41728, _41726 = _41724], (92 ^ _38888) ^ [_42055, _42057] : [_42057 = _42055, -(singleton(_42057) = singleton(_42055))], (98 ^ _38888) ^ [_42301, _42303, _42305, _42307] : [-(unordered_pair(_42307, _42303) = unordered_pair(_42305, _42301)), _42307 = _42305, _42303 = _42301], (108 ^ _38888) ^ [_42632, _42634] : [_42634 = _42632, -(sum(_42634) = sum(_42632))], (114 ^ _38888) ^ [_42850, _42852] : [_42852 = _42850, -(product(_42852) = product(_42850))], (120 ^ _38888) ^ [_43048, _43050] : [_43050 = _43048, -(power_set(_43050) = power_set(_43048))], (136 ^ _38888) ^ [_43635, _43637] : [138 ^ _38888 : [(139 ^ _38888) ^ [] : [-(member(137 ^ [_43635, _43637], _43637))], (141 ^ _38888) ^ [] : [member(137 ^ [_43635, _43637], _43635)]], -(subset(_43637, _43635))], (126 ^ _38888) ^ [_43321, _43323] : [subset(_43323, _43321), 129 ^ _38888 : [(130 ^ _38888) ^ [_43458] : [member(_43458, _43323), -(member(_43458, _43321))]]], (145 ^ _38888) ^ [_44021, _44023] : [equal_set(_44023, _44021), 148 ^ _38888 : [(149 ^ _38888) ^ [] : [-(subset(_44023, _44021))], (151 ^ _38888) ^ [] : [-(subset(_44021, _44023))]]], (153 ^ _38888) ^ [_44258, _44260] : [-(equal_set(_44260, _44258)), subset(_44260, _44258), subset(_44258, _44260)], (163 ^ _38888) ^ [_44588, _44590] : [member(_44590, power_set(_44588)), -(subset(_44590, _44588))], (169 ^ _38888) ^ [_44754, _44756] : [subset(_44756, _44754), -(member(_44756, power_set(_44754)))], (175 ^ _38888) ^ [_45013, _45015, _45017] : [member(_45017, intersection(_45015, _45013)), 178 ^ _38888 : [(179 ^ _38888) ^ [] : [-(member(_45017, _45015))], (181 ^ _38888) ^ [] : [-(member(_45017, _45013))]]], (183 ^ _38888) ^ [_45264, _45266, _45268] : [-(member(_45268, intersection(_45266, _45264))), member(_45268, _45266), member(_45268, _45264)], (203 ^ _38888) ^ [_45892, _45894, _45896] : [204 ^ _38888 : [(205 ^ _38888) ^ [] : [member(_45896, _45894)], (207 ^ _38888) ^ [] : [member(_45896, _45892)]], -(member(_45896, union(_45894, _45892)))], (193 ^ _38888) ^ [_45624, _45626, _45628] : [member(_45628, union(_45626, _45624)), -(member(_45628, _45626)), -(member(_45628, _45624))], (211 ^ _38888) ^ [_46162] : [member(_46162, empty_set)], (213 ^ _38888) ^ [_46312, _46314, _46316] : [member(_46316, difference(_46312, _46314)), 216 ^ _38888 : [(217 ^ _38888) ^ [] : [-(member(_46316, _46312))], (219 ^ _38888) ^ [] : [member(_46316, _46314)]]], (221 ^ _38888) ^ [_46564, _46566, _46568] : [-(member(_46568, difference(_46564, _46566))), member(_46568, _46564), -(member(_46568, _46566))], (231 ^ _38888) ^ [_46913, _46915] : [member(_46915, singleton(_46913)), -(_46915 = _46913)], (237 ^ _38888) ^ [_47079, _47081] : [_47081 = _47079, -(member(_47081, singleton(_47079)))], (253 ^ _38888) ^ [_47606, _47608, _47610] : [254 ^ _38888 : [(255 ^ _38888) ^ [] : [_47610 = _47608], (257 ^ _38888) ^ [] : [_47610 = _47606]], -(member(_47610, unordered_pair(_47608, _47606)))], (243 ^ _38888) ^ [_47338, _47340, _47342] : [member(_47342, unordered_pair(_47340, _47338)), -(_47342 = _47340), -(_47342 = _47338)], (261 ^ _38888) ^ [_47935, _47937] : [member(_47937, sum(_47935)), 265 ^ _38888 : [(266 ^ _38888) ^ [] : [-(member(264 ^ [_47935, _47937], _47935))], (268 ^ _38888) ^ [] : [-(member(_47937, 264 ^ [_47935, _47937]))]]], (270 ^ _38888) ^ [_48246, _48248] : [-(member(_48248, sum(_48246))), 271 ^ _38888 : [(272 ^ _38888) ^ [_48340] : [member(_48340, _48246), member(_48248, _48340)]]], (290 ^ _38888) ^ [_48941, _48943] : [292 ^ _38888 : [(293 ^ _38888) ^ [] : [-(member(291 ^ [_48941, _48943], _48941))], (295 ^ _38888) ^ [] : [member(_48943, 291 ^ [_48941, _48943])]], -(member(_48943, product(_48941)))], (280 ^ _38888) ^ [_48623, _48625] : [member(_48625, product(_48623)), 283 ^ _38888 : [(284 ^ _38888) ^ [_48764] : [member(_48764, _48623), -(member(_48625, _48764))]]]], input).
% 0.33/1.36  ncf('1',plain,[member(137 ^ [298 ^ [], empty_set], empty_set)],start(211 ^ 0,bind([[_46162], [137 ^ [298 ^ [], empty_set]]]))).
% 0.33/1.36  ncf('1.1',plain,[-(member(137 ^ [298 ^ [], empty_set], empty_set)), -(subset(empty_set, 298 ^ []))],extension(136 ^ 1,bind([[_43635, _43637], [298 ^ [], empty_set]]))).
% 0.33/1.36  ncf('1.1.1',plain,[subset(empty_set, 298 ^ []), -(member(empty_set, power_set(298 ^ [])))],extension(169 ^ 2,bind([[_44754, _44756], [298 ^ [], empty_set]]))).
% 0.33/1.36  ncf('1.1.1.1',plain,[member(empty_set, power_set(298 ^ []))],extension(300 ^ 3)).
% 0.33/1.36  %-----------------------------------------------------
% 0.33/1.36  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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