TSTP Solution File: SET703+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET703+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 12.73s 12.74s
% Output : Proof 12.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET703+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n020.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 19:18:32 EDT 2023
% 0.13/0.33 % CPUTime :
% 12.73/12.74
% 12.73/12.74 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 12.73/12.74 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.73/12.74 %-----------------------------------------------------
% 12.73/12.74 ncf(matrix, plain, [(301 ^ _44235) ^ [] : [equal_set(union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ []))], (2 ^ _44235) ^ [_44379] : [-(_44379 = _44379)], (4 ^ _44235) ^ [_44486, _44488] : [_44488 = _44486, -(_44486 = _44488)], (10 ^ _44235) ^ [_44690, _44692, _44694] : [-(_44694 = _44690), _44694 = _44692, _44692 = _44690], (20 ^ _44235) ^ [_45031, _45033, _45035, _45037] : [-(subset(_45035, _45031)), subset(_45037, _45033), _45037 = _45035, _45033 = _45031], (34 ^ _44235) ^ [_45475, _45477, _45479, _45481] : [-(member(_45479, _45475)), member(_45481, _45477), _45481 = _45479, _45477 = _45475], (48 ^ _44235) ^ [_45899, _45901, _45903, _45905] : [-(equal_set(_45903, _45899)), equal_set(_45905, _45901), _45905 = _45903, _45901 = _45899], (62 ^ _44235) ^ [_46325, _46327] : [_46327 = _46325, -(power_set(_46327) = power_set(_46325))], (68 ^ _44235) ^ [_46571, _46573, _46575, _46577] : [-(intersection(_46577, _46573) = intersection(_46575, _46571)), _46577 = _46575, _46573 = _46571], (78 ^ _44235) ^ [_46930, _46932, _46934, _46936] : [-(difference(_46936, _46932) = difference(_46934, _46930)), _46936 = _46934, _46932 = _46930], (88 ^ _44235) ^ [_47261, _47263] : [_47263 = _47261, -(sum(_47263) = sum(_47261))], (94 ^ _44235) ^ [_47479, _47481] : [_47481 = _47479, -(product(_47481) = product(_47479))], (100 ^ _44235) ^ [_47725, _47727, _47729, _47731] : [-(union(_47731, _47727) = union(_47729, _47725)), _47731 = _47729, _47727 = _47725], (110 ^ _44235) ^ [_48056, _48058] : [_48058 = _48056, -(singleton(_48058) = singleton(_48056))], (116 ^ _44235) ^ [_48282, _48284, _48286, _48288] : [-(unordered_pair(_48288, _48284) = unordered_pair(_48286, _48282)), _48288 = _48286, _48284 = _48282], (136 ^ _44235) ^ [_48982, _48984] : [138 ^ _44235 : [(139 ^ _44235) ^ [] : [-(member(137 ^ [_48982, _48984], _48984))], (141 ^ _44235) ^ [] : [member(137 ^ [_48982, _48984], _48982)]], -(subset(_48984, _48982))], (126 ^ _44235) ^ [_48668, _48670] : [subset(_48670, _48668), 129 ^ _44235 : [(130 ^ _44235) ^ [_48805] : [member(_48805, _48670), -(member(_48805, _48668))]]], (145 ^ _44235) ^ [_49368, _49370] : [equal_set(_49370, _49368), 148 ^ _44235 : [(149 ^ _44235) ^ [] : [-(subset(_49370, _49368))], (151 ^ _44235) ^ [] : [-(subset(_49368, _49370))]]], (153 ^ _44235) ^ [_49605, _49607] : [-(equal_set(_49607, _49605)), subset(_49607, _49605), subset(_49605, _49607)], (163 ^ _44235) ^ [_49935, _49937] : [member(_49937, power_set(_49935)), -(subset(_49937, _49935))], (169 ^ _44235) ^ [_50101, _50103] : [subset(_50103, _50101), -(member(_50103, power_set(_50101)))], (175 ^ _44235) ^ [_50360, _50362, _50364] : [member(_50364, intersection(_50362, _50360)), 178 ^ _44235 : [(179 ^ _44235) ^ [] : [-(member(_50364, _50362))], (181 ^ _44235) ^ [] : [-(member(_50364, _50360))]]], (183 ^ _44235) ^ [_50611, _50613, _50615] : [-(member(_50615, intersection(_50613, _50611))), member(_50615, _50613), member(_50615, _50611)], (203 ^ _44235) ^ [_51239, _51241, _51243] : [204 ^ _44235 : [(205 ^ _44235) ^ [] : [member(_51243, _51241)], (207 ^ _44235) ^ [] : [member(_51243, _51239)]], -(member(_51243, union(_51241, _51239)))], (193 ^ _44235) ^ [_50971, _50973, _50975] : [member(_50975, union(_50973, _50971)), -(member(_50975, _50973)), -(member(_50975, _50971))], (211 ^ _44235) ^ [_51509] : [member(_51509, empty_set)], (213 ^ _44235) ^ [_51659, _51661, _51663] : [member(_51663, difference(_51659, _51661)), 216 ^ _44235 : [(217 ^ _44235) ^ [] : [-(member(_51663, _51659))], (219 ^ _44235) ^ [] : [member(_51663, _51661)]]], (221 ^ _44235) ^ [_51911, _51913, _51915] : [-(member(_51915, difference(_51911, _51913))), member(_51915, _51911), -(member(_51915, _51913))], (231 ^ _44235) ^ [_52260, _52262] : [member(_52262, singleton(_52260)), -(_52262 = _52260)], (237 ^ _44235) ^ [_52426, _52428] : [_52428 = _52426, -(member(_52428, singleton(_52426)))], (253 ^ _44235) ^ [_52953, _52955, _52957] : [254 ^ _44235 : [(255 ^ _44235) ^ [] : [_52957 = _52955], (257 ^ _44235) ^ [] : [_52957 = _52953]], -(member(_52957, unordered_pair(_52955, _52953)))], (243 ^ _44235) ^ [_52685, _52687, _52689] : [member(_52689, unordered_pair(_52687, _52685)), -(_52689 = _52687), -(_52689 = _52685)], (261 ^ _44235) ^ [_53282, _53284] : [member(_53284, sum(_53282)), 265 ^ _44235 : [(266 ^ _44235) ^ [] : [-(member(264 ^ [_53282, _53284], _53282))], (268 ^ _44235) ^ [] : [-(member(_53284, 264 ^ [_53282, _53284]))]]], (270 ^ _44235) ^ [_53593, _53595] : [-(member(_53595, sum(_53593))), 271 ^ _44235 : [(272 ^ _44235) ^ [_53687] : [member(_53687, _53593), member(_53595, _53687)]]], (290 ^ _44235) ^ [_54288, _54290] : [292 ^ _44235 : [(293 ^ _44235) ^ [] : [-(member(291 ^ [_54288, _54290], _54288))], (295 ^ _44235) ^ [] : [member(_54290, 291 ^ [_54288, _54290])]], -(member(_54290, product(_54288)))], (280 ^ _44235) ^ [_53970, _53972] : [member(_53972, product(_53970)), 283 ^ _44235 : [(284 ^ _44235) ^ [_54111] : [member(_54111, _53970), -(member(_53972, _54111))]]]], input).
% 12.73/12.74 ncf('1',plain,[equal_set(union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ []))],start(301 ^ 0)).
% 12.73/12.74 ncf('1.1',plain,[-(equal_set(union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ []))), subset(union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])), subset(unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ [])))],extension(153 ^ 1,bind([[_49605, _49607], [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]))).
% 12.73/12.74 ncf('1.1.1',plain,[-(subset(union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ []))), 139 : -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], union(singleton(298 ^ []), singleton(299 ^ []))))],extension(136 ^ 2,bind([[_48982, _48984], [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]))).
% 12.73/12.74 ncf('1.1.1.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], union(singleton(298 ^ []), singleton(299 ^ []))), -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(298 ^ []))), -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(299 ^ [])))],extension(193 ^ 5,bind([[_50971, _50973, _50975], [singleton(299 ^ []), singleton(298 ^ []), 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(298 ^ [])), -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], intersection(singleton(298 ^ []), unordered_pair(298 ^ [], 299 ^ [])))), member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))],extension(183 ^ 6,bind([[_50611, _50613, _50615], [unordered_pair(298 ^ [], 299 ^ []), singleton(298 ^ []), 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.1.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], intersection(singleton(298 ^ []), unordered_pair(298 ^ [], 299 ^ []))), 181 : -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ [])))],extension(175 ^ 7,bind([[_50360, _50362, _50364], [unordered_pair(298 ^ [], 299 ^ []), singleton(298 ^ []), 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.1.1.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))],extension(141 ^ 10)).
% 12.73/12.74 ncf('1.1.1.1.1.2',plain,[-(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))), 255 : 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))] = 298 ^ []],extension(253 ^ 7,bind([[_52953, _52955, _52957], [299 ^ [], 298 ^ [], 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.1.2.1',plain,[-(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))] = 298 ^ []), member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(298 ^ []))],extension(231 ^ 10,bind([[_52260, _52262], [298 ^ [], 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.1.2.1.1',plain,[-(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(298 ^ [])))],reduction('1.1.1.1')).
% 12.73/12.74 ncf('1.1.1.1.2',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(299 ^ [])), -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], intersection(singleton(299 ^ []), unordered_pair(298 ^ [], 299 ^ [])))), member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))],extension(183 ^ 6,bind([[_50611, _50613, _50615], [unordered_pair(298 ^ [], 299 ^ []), singleton(299 ^ []), 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.2.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], intersection(singleton(299 ^ []), unordered_pair(298 ^ [], 299 ^ []))), 181 : -(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ [])))],extension(175 ^ 7,bind([[_50360, _50362, _50364], [unordered_pair(298 ^ [], 299 ^ []), singleton(299 ^ []), 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.2.1.1',plain,[member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))],extension(141 ^ 10)).
% 12.73/12.74 ncf('1.1.1.1.2.2',plain,[-(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], unordered_pair(298 ^ [], 299 ^ []))), 257 : 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))] = 299 ^ []],extension(253 ^ 7,bind([[_52953, _52955, _52957], [299 ^ [], 298 ^ [], 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.2.2.1',plain,[-(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))] = 299 ^ []), member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(299 ^ []))],extension(231 ^ 10,bind([[_52260, _52262], [299 ^ [], 137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))]]]))).
% 12.73/12.74 ncf('1.1.1.1.2.2.1.1',plain,[-(member(137 ^ [unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ []))], singleton(299 ^ [])))],reduction('1.1.1.1')).
% 12.73/12.74 ncf('1.1.2',plain,[-(subset(unordered_pair(298 ^ [], 299 ^ []), union(singleton(298 ^ []), singleton(299 ^ [])))), 139 : -(member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], unordered_pair(298 ^ [], 299 ^ [])))],extension(136 ^ 2,bind([[_48982, _48984], [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]))).
% 12.73/12.74 ncf('1.1.2.1',plain,[member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], unordered_pair(298 ^ [], 299 ^ [])), -(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])] = 298 ^ []), -(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])] = 299 ^ [])],extension(243 ^ 5,bind([[_52685, _52687, _52689], [299 ^ [], 298 ^ [], 137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]]))).
% 12.73/12.74 ncf('1.1.2.1.1',plain,[137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])] = 298 ^ [], -(member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], singleton(298 ^ [])))],extension(237 ^ 6,bind([[_52426, _52428], [298 ^ [], 137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]]))).
% 12.73/12.74 ncf('1.1.2.1.1.1',plain,[member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], singleton(298 ^ [])), -(member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], union(singleton(298 ^ []), singleton(299 ^ []))))],extension(203 ^ 7,bind([[_51239, _51241, _51243], [singleton(299 ^ []), singleton(298 ^ []), 137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]]))).
% 12.73/12.74 ncf('1.1.2.1.1.1.1',plain,[member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], union(singleton(298 ^ []), singleton(299 ^ [])))],extension(141 ^ 8)).
% 12.73/12.74 ncf('1.1.2.1.2',plain,[137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])] = 299 ^ [], -(member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], singleton(299 ^ [])))],extension(237 ^ 6,bind([[_52426, _52428], [299 ^ [], 137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]]))).
% 12.73/12.74 ncf('1.1.2.1.2.1',plain,[member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], singleton(299 ^ [])), -(member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], union(singleton(298 ^ []), singleton(299 ^ []))))],extension(203 ^ 7,bind([[_51239, _51241, _51243], [singleton(299 ^ []), singleton(298 ^ []), 137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])]]]))).
% 12.73/12.74 ncf('1.1.2.1.2.1.1',plain,[member(137 ^ [union(singleton(298 ^ []), singleton(299 ^ [])), unordered_pair(298 ^ [], 299 ^ [])], union(singleton(298 ^ []), singleton(299 ^ [])))],extension(141 ^ 8)).
% 12.73/12.74 %-----------------------------------------------------
% 12.73/12.74 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------