TSTP Solution File: SET199+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET199+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 11:55:35 EDT 2023
% Result : Theorem 0.59s 1.37s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET199+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.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 18:21:45 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.59/1.37
% 0.59/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.59/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/1.37 %-----------------------------------------------------
% 0.59/1.37 ncf(matrix, plain, [(302 ^ _46070) ^ [] : [303 ^ _46070 : [(304 ^ _46070) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (306 ^ _46070) ^ [] : [-(subset(298 ^ [], 300 ^ []))], (308 ^ _46070) ^ [] : [subset(298 ^ [], intersection(299 ^ [], 300 ^ []))]], 309 ^ _46070 : [(310 ^ _46070) ^ [] : [-(subset(298 ^ [], intersection(299 ^ [], 300 ^ [])))], (312 ^ _46070) ^ [] : [subset(298 ^ [], 299 ^ []), subset(298 ^ [], 300 ^ [])]]], (2 ^ _46070) ^ [_46214] : [-(_46214 = _46214)], (4 ^ _46070) ^ [_46321, _46323] : [_46323 = _46321, -(_46321 = _46323)], (10 ^ _46070) ^ [_46525, _46527, _46529] : [-(_46529 = _46525), _46529 = _46527, _46527 = _46525], (20 ^ _46070) ^ [_46866, _46868, _46870, _46872] : [-(equal_set(_46870, _46866)), equal_set(_46872, _46868), _46872 = _46870, _46868 = _46866], (34 ^ _46070) ^ [_47310, _47312, _47314, _47316] : [-(member(_47314, _47310)), member(_47316, _47312), _47316 = _47314, _47312 = _47310], (48 ^ _46070) ^ [_47734, _47736, _47738, _47740] : [-(subset(_47738, _47734)), subset(_47740, _47736), _47740 = _47738, _47736 = _47734], (62 ^ _46070) ^ [_48160, _48162] : [_48162 = _48160, -(power_set(_48162) = power_set(_48160))], (68 ^ _46070) ^ [_48406, _48408, _48410, _48412] : [-(union(_48412, _48408) = union(_48410, _48406)), _48412 = _48410, _48408 = _48406], (78 ^ _46070) ^ [_48765, _48767, _48769, _48771] : [-(difference(_48771, _48767) = difference(_48769, _48765)), _48771 = _48769, _48767 = _48765], (88 ^ _46070) ^ [_49096, _49098] : [_49098 = _49096, -(singleton(_49098) = singleton(_49096))], (94 ^ _46070) ^ [_49342, _49344, _49346, _49348] : [-(unordered_pair(_49348, _49344) = unordered_pair(_49346, _49342)), _49348 = _49346, _49344 = _49342], (104 ^ _46070) ^ [_49673, _49675] : [_49675 = _49673, -(sum(_49675) = sum(_49673))], (110 ^ _46070) ^ [_49891, _49893] : [_49893 = _49891, -(product(_49893) = product(_49891))], (116 ^ _46070) ^ [_50117, _50119, _50121, _50123] : [-(intersection(_50123, _50119) = intersection(_50121, _50117)), _50123 = _50121, _50119 = _50117], (136 ^ _46070) ^ [_50817, _50819] : [138 ^ _46070 : [(139 ^ _46070) ^ [] : [-(member(137 ^ [_50817, _50819], _50819))], (141 ^ _46070) ^ [] : [member(137 ^ [_50817, _50819], _50817)]], -(subset(_50819, _50817))], (126 ^ _46070) ^ [_50503, _50505] : [subset(_50505, _50503), 129 ^ _46070 : [(130 ^ _46070) ^ [_50640] : [member(_50640, _50505), -(member(_50640, _50503))]]], (145 ^ _46070) ^ [_51203, _51205] : [equal_set(_51205, _51203), 148 ^ _46070 : [(149 ^ _46070) ^ [] : [-(subset(_51205, _51203))], (151 ^ _46070) ^ [] : [-(subset(_51203, _51205))]]], (153 ^ _46070) ^ [_51440, _51442] : [-(equal_set(_51442, _51440)), subset(_51442, _51440), subset(_51440, _51442)], (163 ^ _46070) ^ [_51770, _51772] : [member(_51772, power_set(_51770)), -(subset(_51772, _51770))], (169 ^ _46070) ^ [_51936, _51938] : [subset(_51938, _51936), -(member(_51938, power_set(_51936)))], (175 ^ _46070) ^ [_52195, _52197, _52199] : [member(_52199, intersection(_52197, _52195)), 178 ^ _46070 : [(179 ^ _46070) ^ [] : [-(member(_52199, _52197))], (181 ^ _46070) ^ [] : [-(member(_52199, _52195))]]], (183 ^ _46070) ^ [_52446, _52448, _52450] : [-(member(_52450, intersection(_52448, _52446))), member(_52450, _52448), member(_52450, _52446)], (203 ^ _46070) ^ [_53074, _53076, _53078] : [204 ^ _46070 : [(205 ^ _46070) ^ [] : [member(_53078, _53076)], (207 ^ _46070) ^ [] : [member(_53078, _53074)]], -(member(_53078, union(_53076, _53074)))], (193 ^ _46070) ^ [_52806, _52808, _52810] : [member(_52810, union(_52808, _52806)), -(member(_52810, _52808)), -(member(_52810, _52806))], (211 ^ _46070) ^ [_53344] : [member(_53344, empty_set)], (213 ^ _46070) ^ [_53494, _53496, _53498] : [member(_53498, difference(_53494, _53496)), 216 ^ _46070 : [(217 ^ _46070) ^ [] : [-(member(_53498, _53494))], (219 ^ _46070) ^ [] : [member(_53498, _53496)]]], (221 ^ _46070) ^ [_53746, _53748, _53750] : [-(member(_53750, difference(_53746, _53748))), member(_53750, _53746), -(member(_53750, _53748))], (231 ^ _46070) ^ [_54095, _54097] : [member(_54097, singleton(_54095)), -(_54097 = _54095)], (237 ^ _46070) ^ [_54261, _54263] : [_54263 = _54261, -(member(_54263, singleton(_54261)))], (253 ^ _46070) ^ [_54788, _54790, _54792] : [254 ^ _46070 : [(255 ^ _46070) ^ [] : [_54792 = _54790], (257 ^ _46070) ^ [] : [_54792 = _54788]], -(member(_54792, unordered_pair(_54790, _54788)))], (243 ^ _46070) ^ [_54520, _54522, _54524] : [member(_54524, unordered_pair(_54522, _54520)), -(_54524 = _54522), -(_54524 = _54520)], (261 ^ _46070) ^ [_55117, _55119] : [member(_55119, sum(_55117)), 265 ^ _46070 : [(266 ^ _46070) ^ [] : [-(member(264 ^ [_55117, _55119], _55117))], (268 ^ _46070) ^ [] : [-(member(_55119, 264 ^ [_55117, _55119]))]]], (270 ^ _46070) ^ [_55428, _55430] : [-(member(_55430, sum(_55428))), 271 ^ _46070 : [(272 ^ _46070) ^ [_55522] : [member(_55522, _55428), member(_55430, _55522)]]], (290 ^ _46070) ^ [_56123, _56125] : [292 ^ _46070 : [(293 ^ _46070) ^ [] : [-(member(291 ^ [_56123, _56125], _56123))], (295 ^ _46070) ^ [] : [member(_56125, 291 ^ [_56123, _56125])]], -(member(_56125, product(_56123)))], (280 ^ _46070) ^ [_55805, _55807] : [member(_55807, product(_55805)), 283 ^ _46070 : [(284 ^ _46070) ^ [_55946] : [member(_55946, _55805), -(member(_55807, _55946))]]]], input).
% 0.59/1.37 ncf('1',plain,[308 : subset(298 ^ [], intersection(299 ^ [], 300 ^ [])), 312 : subset(298 ^ [], 299 ^ []), 312 : subset(298 ^ [], 300 ^ [])],start(302 ^ 0)).
% 0.59/1.37 ncf('1.1',plain,[-(subset(298 ^ [], intersection(299 ^ [], 300 ^ []))), 139 : -(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []))],extension(136 ^ 3,bind([[_50817, _50819], [intersection(299 ^ [], 300 ^ []), 298 ^ []]]))).
% 0.59/1.37 ncf('1.1.1',plain,[member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []), -(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(298 ^ [], intersection(299 ^ [], 300 ^ [])))), member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(299 ^ [], 300 ^ []))],extension(183 ^ 6,bind([[_52446, _52448, _52450], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []]]]))).
% 0.59/1.37 ncf('1.1.1.1',plain,[member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(298 ^ [], intersection(299 ^ [], 300 ^ []))), 181 : -(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(299 ^ [], 300 ^ [])))],extension(175 ^ 7,bind([[_52195, _52197, _52199], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []]]]))).
% 0.59/1.37 ncf('1.1.1.1.1',plain,[member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(299 ^ [], 300 ^ []))],extension(141 ^ 10)).
% 0.59/1.37 ncf('1.1.1.2',plain,[-(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], intersection(299 ^ [], 300 ^ []))), member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 299 ^ []), member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 300 ^ [])],extension(183 ^ 7,bind([[_52446, _52448, _52450], [300 ^ [], 299 ^ [], 137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []]]]))).
% 0.59/1.37 ncf('1.1.1.2.1',plain,[-(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 299 ^ [])), 130 : member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 8,bind([[_50503, _50505, _50640], [299 ^ [], 298 ^ [], 137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []]]]))).
% 0.59/1.37 ncf('1.1.1.2.1.1',plain,[-(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []))],reduction('1.1')).
% 0.59/1.37 ncf('1.1.1.2.1.2',plain,[-(subset(298 ^ [], 299 ^ []))],extension(304 ^ 9)).
% 0.59/1.37 ncf('1.1.1.2.2',plain,[-(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 300 ^ [])), 130 : member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 300 ^ [])],extension(126 ^ 8,bind([[_50503, _50505, _50640], [300 ^ [], 298 ^ [], 137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []]]]))).
% 0.59/1.37 ncf('1.1.1.2.2.1',plain,[-(member(137 ^ [intersection(299 ^ [], 300 ^ []), 298 ^ []], 298 ^ []))],reduction('1.1')).
% 0.59/1.37 ncf('1.1.1.2.2.2',plain,[-(subset(298 ^ [], 300 ^ []))],extension(306 ^ 9)).
% 0.59/1.37 ncf('1.2',plain,[-(subset(298 ^ [], 299 ^ [])), 139 : -(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 3,bind([[_50817, _50819], [299 ^ [], 298 ^ []]]))).
% 0.59/1.37 ncf('1.2.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), -(member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], 299 ^ []))), member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])],extension(183 ^ 6,bind([[_52446, _52448, _52450], [299 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.2.1.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], 299 ^ [])), 181 : -(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []))],extension(175 ^ 7,bind([[_52195, _52197, _52199], [299 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.2.1.1.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])],extension(141 ^ 10)).
% 0.59/1.37 ncf('1.2.1.2',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])), member(137 ^ [299 ^ [], 298 ^ []], intersection(299 ^ [], 300 ^ []))],extension(175 ^ 7,bind([[_52195, _52197, _52199], [300 ^ [], 299 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.2.1.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], intersection(299 ^ [], 300 ^ []))), 130 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], intersection(299 ^ [], 300 ^ []))],extension(126 ^ 8,bind([[_50503, _50505, _50640], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.2.1.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []))],reduction('1.2')).
% 0.59/1.37 ncf('1.2.1.2.1.2',plain,[-(subset(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(310 ^ 9)).
% 0.59/1.37 ncf('1.3',plain,[-(subset(298 ^ [], 300 ^ [])), 139 : -(member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 3,bind([[_50817, _50819], [300 ^ [], 298 ^ []]]))).
% 0.59/1.37 ncf('1.3.1',plain,[member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []), -(member(137 ^ [300 ^ [], 298 ^ []], intersection(298 ^ [], 300 ^ []))), member(137 ^ [300 ^ [], 298 ^ []], 300 ^ [])],extension(183 ^ 6,bind([[_52446, _52448, _52450], [300 ^ [], 298 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.3.1.1',plain,[member(137 ^ [300 ^ [], 298 ^ []], intersection(298 ^ [], 300 ^ [])), 181 : -(member(137 ^ [300 ^ [], 298 ^ []], 300 ^ []))],extension(175 ^ 7,bind([[_52195, _52197, _52199], [300 ^ [], 298 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.3.1.1.1',plain,[member(137 ^ [300 ^ [], 298 ^ []], 300 ^ [])],extension(141 ^ 10)).
% 0.59/1.37 ncf('1.3.1.2',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], 300 ^ [])), member(137 ^ [300 ^ [], 298 ^ []], intersection(299 ^ [], 300 ^ []))],extension(175 ^ 7,bind([[_52195, _52197, _52199], [300 ^ [], 299 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.3.1.2.1',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], intersection(299 ^ [], 300 ^ []))), 130 : member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], intersection(299 ^ [], 300 ^ []))],extension(126 ^ 8,bind([[_50503, _50505, _50640], [intersection(299 ^ [], 300 ^ []), 298 ^ [], 137 ^ [300 ^ [], 298 ^ []]]]))).
% 0.59/1.37 ncf('1.3.1.2.1.1',plain,[-(member(137 ^ [300 ^ [], 298 ^ []], 298 ^ []))],reduction('1.3')).
% 0.59/1.37 ncf('1.3.1.2.1.2',plain,[-(subset(298 ^ [], intersection(299 ^ [], 300 ^ [])))],extension(310 ^ 9)).
% 0.59/1.37 %-----------------------------------------------------
% 0.59/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------