TSTP Solution File: SET351+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET351+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:55:45 EDT 2023
% Result : Theorem 12.23s 12.74s
% Output : Proof 12.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET351+4 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 19:19:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 12.23/12.74
% 12.23/12.74 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 12.23/12.74 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.23/12.74 %-----------------------------------------------------
% 12.23/12.74 ncf(matrix, plain, [(300 ^ _43398) ^ [] : [equal_set(sum(singleton(298 ^ [])), 298 ^ [])], (2 ^ _43398) ^ [_43542] : [-(_43542 = _43542)], (4 ^ _43398) ^ [_43649, _43651] : [_43651 = _43649, -(_43649 = _43651)], (10 ^ _43398) ^ [_43853, _43855, _43857] : [-(_43857 = _43853), _43857 = _43855, _43855 = _43853], (20 ^ _43398) ^ [_44194, _44196, _44198, _44200] : [-(subset(_44198, _44194)), subset(_44200, _44196), _44200 = _44198, _44196 = _44194], (34 ^ _43398) ^ [_44638, _44640, _44642, _44644] : [-(member(_44642, _44638)), member(_44644, _44640), _44644 = _44642, _44640 = _44638], (48 ^ _43398) ^ [_45062, _45064, _45066, _45068] : [-(equal_set(_45066, _45062)), equal_set(_45068, _45064), _45068 = _45066, _45064 = _45062], (62 ^ _43398) ^ [_45488, _45490] : [_45490 = _45488, -(power_set(_45490) = power_set(_45488))], (68 ^ _43398) ^ [_45734, _45736, _45738, _45740] : [-(intersection(_45740, _45736) = intersection(_45738, _45734)), _45740 = _45738, _45736 = _45734], (78 ^ _43398) ^ [_46093, _46095, _46097, _46099] : [-(union(_46099, _46095) = union(_46097, _46093)), _46099 = _46097, _46095 = _46093], (88 ^ _43398) ^ [_46452, _46454, _46456, _46458] : [-(difference(_46458, _46454) = difference(_46456, _46452)), _46458 = _46456, _46454 = _46452], (98 ^ _43398) ^ [_46811, _46813, _46815, _46817] : [-(unordered_pair(_46817, _46813) = unordered_pair(_46815, _46811)), _46817 = _46815, _46813 = _46811], (108 ^ _43398) ^ [_47142, _47144] : [_47144 = _47142, -(product(_47144) = product(_47142))], (114 ^ _43398) ^ [_47360, _47362] : [_47362 = _47360, -(sum(_47362) = sum(_47360))], (120 ^ _43398) ^ [_47558, _47560] : [_47560 = _47558, -(singleton(_47560) = singleton(_47558))], (136 ^ _43398) ^ [_48145, _48147] : [138 ^ _43398 : [(139 ^ _43398) ^ [] : [-(member(137 ^ [_48145, _48147], _48147))], (141 ^ _43398) ^ [] : [member(137 ^ [_48145, _48147], _48145)]], -(subset(_48147, _48145))], (126 ^ _43398) ^ [_47831, _47833] : [subset(_47833, _47831), 129 ^ _43398 : [(130 ^ _43398) ^ [_47968] : [member(_47968, _47833), -(member(_47968, _47831))]]], (145 ^ _43398) ^ [_48531, _48533] : [equal_set(_48533, _48531), 148 ^ _43398 : [(149 ^ _43398) ^ [] : [-(subset(_48533, _48531))], (151 ^ _43398) ^ [] : [-(subset(_48531, _48533))]]], (153 ^ _43398) ^ [_48768, _48770] : [-(equal_set(_48770, _48768)), subset(_48770, _48768), subset(_48768, _48770)], (163 ^ _43398) ^ [_49098, _49100] : [member(_49100, power_set(_49098)), -(subset(_49100, _49098))], (169 ^ _43398) ^ [_49264, _49266] : [subset(_49266, _49264), -(member(_49266, power_set(_49264)))], (175 ^ _43398) ^ [_49523, _49525, _49527] : [member(_49527, intersection(_49525, _49523)), 178 ^ _43398 : [(179 ^ _43398) ^ [] : [-(member(_49527, _49525))], (181 ^ _43398) ^ [] : [-(member(_49527, _49523))]]], (183 ^ _43398) ^ [_49774, _49776, _49778] : [-(member(_49778, intersection(_49776, _49774))), member(_49778, _49776), member(_49778, _49774)], (203 ^ _43398) ^ [_50402, _50404, _50406] : [204 ^ _43398 : [(205 ^ _43398) ^ [] : [member(_50406, _50404)], (207 ^ _43398) ^ [] : [member(_50406, _50402)]], -(member(_50406, union(_50404, _50402)))], (193 ^ _43398) ^ [_50134, _50136, _50138] : [member(_50138, union(_50136, _50134)), -(member(_50138, _50136)), -(member(_50138, _50134))], (211 ^ _43398) ^ [_50672] : [member(_50672, empty_set)], (213 ^ _43398) ^ [_50822, _50824, _50826] : [member(_50826, difference(_50822, _50824)), 216 ^ _43398 : [(217 ^ _43398) ^ [] : [-(member(_50826, _50822))], (219 ^ _43398) ^ [] : [member(_50826, _50824)]]], (221 ^ _43398) ^ [_51074, _51076, _51078] : [-(member(_51078, difference(_51074, _51076))), member(_51078, _51074), -(member(_51078, _51076))], (231 ^ _43398) ^ [_51423, _51425] : [member(_51425, singleton(_51423)), -(_51425 = _51423)], (237 ^ _43398) ^ [_51589, _51591] : [_51591 = _51589, -(member(_51591, singleton(_51589)))], (253 ^ _43398) ^ [_52116, _52118, _52120] : [254 ^ _43398 : [(255 ^ _43398) ^ [] : [_52120 = _52118], (257 ^ _43398) ^ [] : [_52120 = _52116]], -(member(_52120, unordered_pair(_52118, _52116)))], (243 ^ _43398) ^ [_51848, _51850, _51852] : [member(_51852, unordered_pair(_51850, _51848)), -(_51852 = _51850), -(_51852 = _51848)], (261 ^ _43398) ^ [_52445, _52447] : [member(_52447, sum(_52445)), 265 ^ _43398 : [(266 ^ _43398) ^ [] : [-(member(264 ^ [_52445, _52447], _52445))], (268 ^ _43398) ^ [] : [-(member(_52447, 264 ^ [_52445, _52447]))]]], (270 ^ _43398) ^ [_52756, _52758] : [-(member(_52758, sum(_52756))), 271 ^ _43398 : [(272 ^ _43398) ^ [_52850] : [member(_52850, _52756), member(_52758, _52850)]]], (290 ^ _43398) ^ [_53451, _53453] : [292 ^ _43398 : [(293 ^ _43398) ^ [] : [-(member(291 ^ [_53451, _53453], _53451))], (295 ^ _43398) ^ [] : [member(_53453, 291 ^ [_53451, _53453])]], -(member(_53453, product(_53451)))], (280 ^ _43398) ^ [_53133, _53135] : [member(_53135, product(_53133)), 283 ^ _43398 : [(284 ^ _43398) ^ [_53274] : [member(_53274, _53133), -(member(_53135, _53274))]]]], input).
% 12.23/12.74 ncf('1',plain,[equal_set(sum(singleton(298 ^ [])), 298 ^ [])],start(300 ^ 0)).
% 12.23/12.74 ncf('1.1',plain,[-(equal_set(sum(singleton(298 ^ [])), 298 ^ [])), subset(sum(singleton(298 ^ [])), 298 ^ []), subset(298 ^ [], sum(singleton(298 ^ [])))],extension(153 ^ 1,bind([[_48768, _48770], [298 ^ [], sum(singleton(298 ^ []))]]))).
% 12.23/12.74 ncf('1.1.1',plain,[-(subset(sum(singleton(298 ^ [])), 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], sum(singleton(298 ^ []))))],extension(136 ^ 2,bind([[_48145, _48147], [298 ^ [], sum(singleton(298 ^ []))]]))).
% 12.23/12.74 ncf('1.1.1.1',plain,[member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], sum(singleton(298 ^ []))), 266 : -(member(264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]], singleton(298 ^ [])))],extension(261 ^ 5,bind([[_52445, _52447], [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]]]))).
% 12.23/12.74 ncf('1.1.1.1.1',plain,[member(264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]], singleton(298 ^ [])), -(264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]] = 298 ^ [])],extension(231 ^ 8,bind([[_51423, _51425], [298 ^ [], 264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]]]]))).
% 12.23/12.74 ncf('1.1.1.1.1.1',plain,[264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]] = 298 ^ [], -(member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], 298 ^ [])), member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], 264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]]), 137 ^ [298 ^ [], sum(singleton(298 ^ []))] = 137 ^ [298 ^ [], sum(singleton(298 ^ []))]],extension(34 ^ 9,bind([[_44638, _44640, _44642, _44644], [298 ^ [], 264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]], 137 ^ [298 ^ [], sum(singleton(298 ^ []))], 137 ^ [298 ^ [], sum(singleton(298 ^ []))]]]))).
% 12.23/12.74 ncf('1.1.1.1.1.1.1',plain,[member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], 298 ^ [])],extension(141 ^ 10)).
% 12.23/12.74 ncf('1.1.1.1.1.1.2',plain,[-(member(137 ^ [298 ^ [], sum(singleton(298 ^ []))], 264 ^ [singleton(298 ^ []), 137 ^ [298 ^ [], sum(singleton(298 ^ []))]]))],extension(268 ^ 10)).
% 12.23/12.74 ncf('1.1.1.1.1.1.3',plain,[-(137 ^ [298 ^ [], sum(singleton(298 ^ []))] = 137 ^ [298 ^ [], sum(singleton(298 ^ []))])],extension(2 ^ 10,bind([[_43542], [137 ^ [298 ^ [], sum(singleton(298 ^ []))]]]))).
% 12.23/12.74 ncf('1.1.2',plain,[-(subset(298 ^ [], sum(singleton(298 ^ [])))), subset(298 ^ [], 298 ^ []), 298 ^ [] = 298 ^ [], 298 ^ [] = sum(singleton(298 ^ []))],extension(20 ^ 2,bind([[_44194, _44196, _44198, _44200], [sum(singleton(298 ^ [])), 298 ^ [], 298 ^ [], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1',plain,[-(subset(298 ^ [], 298 ^ [])), subset(298 ^ [], 298 ^ []), 298 ^ [] = 298 ^ [], 298 ^ [] = 298 ^ []],extension(20 ^ 3,bind([[_44194, _44196, _44198, _44200], [298 ^ [], 298 ^ [], 298 ^ [], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.1',plain,[-(subset(298 ^ [], 298 ^ [])), subset(298 ^ [], 298 ^ []), 298 ^ [] = 298 ^ [], 298 ^ [] = 298 ^ []],extension(20 ^ 4,bind([[_44194, _44196, _44198, _44200], [298 ^ [], 298 ^ [], 298 ^ [], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.1.1',plain,[-(subset(298 ^ [], 298 ^ [])), 139 : -(member(137 ^ [298 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 5,bind([[_48145, _48147], [298 ^ [], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.1.1.1',plain,[member(137 ^ [298 ^ [], 298 ^ []], 298 ^ [])],extension(141 ^ 8)).
% 12.23/12.74 ncf('1.1.2.1.1.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 5,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.1.3',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 5,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 4,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.1.3',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 4,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.2',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 3,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3',plain,[-(298 ^ [] = sum(singleton(298 ^ []))), member(298 ^ [], unordered_pair(sum(singleton(298 ^ [])), 298 ^ [])), -(298 ^ [] = 298 ^ [])],extension(243 ^ 3,bind([[_51848, _51850, _51852], [298 ^ [], sum(singleton(298 ^ [])), 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.1',plain,[-(member(298 ^ [], unordered_pair(sum(singleton(298 ^ [])), 298 ^ []))), 257 : 298 ^ [] = 298 ^ []],extension(253 ^ 4,bind([[_52116, _52118, _52120], [298 ^ [], sum(singleton(298 ^ [])), 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.1.1',plain,[-(298 ^ [] = 298 ^ [])],extension(2 ^ 7,bind([[_43542], [298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.2',plain,[298 ^ [] = 298 ^ [], -(member(298 ^ [], singleton(298 ^ [])))],extension(237 ^ 4,bind([[_51589, _51591], [298 ^ [], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.2.1',plain,[member(298 ^ [], singleton(298 ^ [])), 272 : member(137 ^ [sum(singleton(298 ^ [])), 298 ^ []], 298 ^ []), 272 : -(member(137 ^ [sum(singleton(298 ^ [])), 298 ^ []], sum(singleton(298 ^ []))))],extension(270 ^ 5,bind([[_52756, _52758, _52850], [singleton(298 ^ []), 137 ^ [sum(singleton(298 ^ [])), 298 ^ []], 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.2.1.1',plain,[-(member(137 ^ [sum(singleton(298 ^ [])), 298 ^ []], 298 ^ [])), -(subset(298 ^ [], sum(singleton(298 ^ []))))],extension(136 ^ 8,bind([[_48145, _48147], [sum(singleton(298 ^ [])), 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.2.1.1.1',plain,[subset(298 ^ [], sum(singleton(298 ^ [])))],reduction('1.1')).
% 12.23/12.74 ncf('1.1.2.3.2.1.2',plain,[member(137 ^ [sum(singleton(298 ^ [])), 298 ^ []], sum(singleton(298 ^ []))), -(subset(298 ^ [], sum(singleton(298 ^ []))))],extension(136 ^ 6,bind([[_48145, _48147], [sum(singleton(298 ^ [])), 298 ^ []]]))).
% 12.23/12.74 ncf('1.1.2.3.2.1.2.1',plain,[subset(298 ^ [], sum(singleton(298 ^ [])))],reduction('1.1')).
% 12.23/12.74 %-----------------------------------------------------
% 12.23/12.74 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------