TSTP Solution File: SET700+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET700+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n021.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 0.47s 1.38s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET700+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n021.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 18:52:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.47/1.38
% 0.47/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.47/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 ncf(matrix, plain, [(302 ^ _43816) ^ [] : [-(subset(298 ^ [], 300 ^ []))], (304 ^ _43816) ^ [] : [-(subset(299 ^ [], 300 ^ []))], (306 ^ _43816) ^ [] : [307 ^ _43816 : [(308 ^ _43816) ^ [] : [-(subset(298 ^ [], 299 ^ []))], (310 ^ _43816) ^ [] : [subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ [])]], 311 ^ _43816 : [(312 ^ _43816) ^ [] : [-(subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ []))], (314 ^ _43816) ^ [] : [subset(298 ^ [], 299 ^ [])]]], (2 ^ _43816) ^ [_43960] : [-(_43960 = _43960)], (4 ^ _43816) ^ [_44067, _44069] : [_44069 = _44067, -(_44067 = _44069)], (10 ^ _43816) ^ [_44271, _44273, _44275] : [-(_44275 = _44271), _44275 = _44273, _44273 = _44271], (20 ^ _43816) ^ [_44612, _44614, _44616, _44618] : [-(equal_set(_44616, _44612)), equal_set(_44618, _44614), _44618 = _44616, _44614 = _44612], (34 ^ _43816) ^ [_45056, _45058, _45060, _45062] : [-(member(_45060, _45056)), member(_45062, _45058), _45062 = _45060, _45058 = _45056], (48 ^ _43816) ^ [_45480, _45482, _45484, _45486] : [-(subset(_45484, _45480)), subset(_45486, _45482), _45486 = _45484, _45482 = _45480], (62 ^ _43816) ^ [_45906, _45908] : [_45908 = _45906, -(power_set(_45908) = power_set(_45906))], (68 ^ _43816) ^ [_46152, _46154, _46156, _46158] : [-(union(_46158, _46154) = union(_46156, _46152)), _46158 = _46156, _46154 = _46152], (78 ^ _43816) ^ [_46483, _46485] : [_46485 = _46483, -(singleton(_46485) = singleton(_46483))], (84 ^ _43816) ^ [_46729, _46731, _46733, _46735] : [-(unordered_pair(_46735, _46731) = unordered_pair(_46733, _46729)), _46735 = _46733, _46731 = _46729], (94 ^ _43816) ^ [_47060, _47062] : [_47062 = _47060, -(sum(_47062) = sum(_47060))], (100 ^ _43816) ^ [_47278, _47280] : [_47280 = _47278, -(product(_47280) = product(_47278))], (106 ^ _43816) ^ [_47524, _47526, _47528, _47530] : [-(intersection(_47530, _47526) = intersection(_47528, _47524)), _47530 = _47528, _47526 = _47524], (116 ^ _43816) ^ [_47863, _47865, _47867, _47869] : [-(difference(_47869, _47865) = difference(_47867, _47863)), _47869 = _47867, _47865 = _47863], (136 ^ _43816) ^ [_48563, _48565] : [138 ^ _43816 : [(139 ^ _43816) ^ [] : [-(member(137 ^ [_48563, _48565], _48565))], (141 ^ _43816) ^ [] : [member(137 ^ [_48563, _48565], _48563)]], -(subset(_48565, _48563))], (126 ^ _43816) ^ [_48249, _48251] : [subset(_48251, _48249), 129 ^ _43816 : [(130 ^ _43816) ^ [_48386] : [member(_48386, _48251), -(member(_48386, _48249))]]], (145 ^ _43816) ^ [_48949, _48951] : [equal_set(_48951, _48949), 148 ^ _43816 : [(149 ^ _43816) ^ [] : [-(subset(_48951, _48949))], (151 ^ _43816) ^ [] : [-(subset(_48949, _48951))]]], (153 ^ _43816) ^ [_49186, _49188] : [-(equal_set(_49188, _49186)), subset(_49188, _49186), subset(_49186, _49188)], (163 ^ _43816) ^ [_49516, _49518] : [member(_49518, power_set(_49516)), -(subset(_49518, _49516))], (169 ^ _43816) ^ [_49682, _49684] : [subset(_49684, _49682), -(member(_49684, power_set(_49682)))], (175 ^ _43816) ^ [_49941, _49943, _49945] : [member(_49945, intersection(_49943, _49941)), 178 ^ _43816 : [(179 ^ _43816) ^ [] : [-(member(_49945, _49943))], (181 ^ _43816) ^ [] : [-(member(_49945, _49941))]]], (183 ^ _43816) ^ [_50192, _50194, _50196] : [-(member(_50196, intersection(_50194, _50192))), member(_50196, _50194), member(_50196, _50192)], (203 ^ _43816) ^ [_50820, _50822, _50824] : [204 ^ _43816 : [(205 ^ _43816) ^ [] : [member(_50824, _50822)], (207 ^ _43816) ^ [] : [member(_50824, _50820)]], -(member(_50824, union(_50822, _50820)))], (193 ^ _43816) ^ [_50552, _50554, _50556] : [member(_50556, union(_50554, _50552)), -(member(_50556, _50554)), -(member(_50556, _50552))], (211 ^ _43816) ^ [_51090] : [member(_51090, empty_set)], (213 ^ _43816) ^ [_51240, _51242, _51244] : [member(_51244, difference(_51240, _51242)), 216 ^ _43816 : [(217 ^ _43816) ^ [] : [-(member(_51244, _51240))], (219 ^ _43816) ^ [] : [member(_51244, _51242)]]], (221 ^ _43816) ^ [_51492, _51494, _51496] : [-(member(_51496, difference(_51492, _51494))), member(_51496, _51492), -(member(_51496, _51494))], (231 ^ _43816) ^ [_51841, _51843] : [member(_51843, singleton(_51841)), -(_51843 = _51841)], (237 ^ _43816) ^ [_52007, _52009] : [_52009 = _52007, -(member(_52009, singleton(_52007)))], (253 ^ _43816) ^ [_52534, _52536, _52538] : [254 ^ _43816 : [(255 ^ _43816) ^ [] : [_52538 = _52536], (257 ^ _43816) ^ [] : [_52538 = _52534]], -(member(_52538, unordered_pair(_52536, _52534)))], (243 ^ _43816) ^ [_52266, _52268, _52270] : [member(_52270, unordered_pair(_52268, _52266)), -(_52270 = _52268), -(_52270 = _52266)], (261 ^ _43816) ^ [_52863, _52865] : [member(_52865, sum(_52863)), 265 ^ _43816 : [(266 ^ _43816) ^ [] : [-(member(264 ^ [_52863, _52865], _52863))], (268 ^ _43816) ^ [] : [-(member(_52865, 264 ^ [_52863, _52865]))]]], (270 ^ _43816) ^ [_53174, _53176] : [-(member(_53176, sum(_53174))), 271 ^ _43816 : [(272 ^ _43816) ^ [_53268] : [member(_53268, _53174), member(_53176, _53268)]]], (290 ^ _43816) ^ [_53869, _53871] : [292 ^ _43816 : [(293 ^ _43816) ^ [] : [-(member(291 ^ [_53869, _53871], _53869))], (295 ^ _43816) ^ [] : [member(_53871, 291 ^ [_53869, _53871])]], -(member(_53871, product(_53869)))], (280 ^ _43816) ^ [_53551, _53553] : [member(_53553, product(_53551)), 283 ^ _43816 : [(284 ^ _43816) ^ [_53692] : [member(_53692, _53551), -(member(_53553, _53692))]]]], input).
% 0.47/1.38 ncf('1',plain,[310 : subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ []), 314 : subset(298 ^ [], 299 ^ [])],start(306 ^ 0)).
% 0.47/1.38 ncf('1.1',plain,[-(subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ [])), 139 : -(member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))))],extension(136 ^ 3,bind([[_48563, _48565], [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))]]))).
% 0.47/1.38 ncf('1.1.1',plain,[member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))), 179 : -(member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], 298 ^ []))],extension(175 ^ 6,bind([[_49941, _49943, _49945], [difference(300 ^ [], 299 ^ []), 298 ^ [], 137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))]]]))).
% 0.47/1.38 ncf('1.1.1.1',plain,[member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], 298 ^ []), 130 : -(member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], 299 ^ [])), 130 : subset(298 ^ [], 299 ^ [])],extension(126 ^ 9,bind([[_48249, _48251, _48386], [299 ^ [], 298 ^ [], 137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))]]]))).
% 0.47/1.38 ncf('1.1.1.1.1',plain,[member(137 ^ [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))], 299 ^ [])],extension(141 ^ 12)).
% 0.47/1.38 ncf('1.1.1.1.2',plain,[-(subset(298 ^ [], 299 ^ []))],extension(308 ^ 10)).
% 0.47/1.38 ncf('1.2',plain,[-(subset(298 ^ [], 299 ^ [])), 139 : -(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []))],extension(136 ^ 3,bind([[_48563, _48565], [299 ^ [], 298 ^ []]]))).
% 0.47/1.38 ncf('1.2.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), -(member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], difference(300 ^ [], 299 ^ [])))), member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 299 ^ []))],extension(183 ^ 6,bind([[_50192, _50194, _50196], [difference(300 ^ [], 299 ^ []), 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.47/1.38 ncf('1.2.1.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], intersection(298 ^ [], difference(300 ^ [], 299 ^ []))), 130 : -(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])), 130 : subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ [])],extension(126 ^ 7,bind([[_48249, _48251, _48386], [299 ^ [], intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.47/1.38 ncf('1.2.1.1.1',plain,[member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])],extension(141 ^ 10)).
% 0.47/1.38 ncf('1.2.1.1.2',plain,[-(subset(intersection(298 ^ [], difference(300 ^ [], 299 ^ [])), 299 ^ []))],extension(312 ^ 8)).
% 0.47/1.38 ncf('1.2.1.2',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 299 ^ []))), member(137 ^ [299 ^ [], 298 ^ []], 300 ^ []), -(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []))],extension(221 ^ 7,bind([[_51492, _51494, _51496], [300 ^ [], 299 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.47/1.38 ncf('1.2.1.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 300 ^ [])), 130 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 300 ^ [])],extension(126 ^ 8,bind([[_48249, _48251, _48386], [300 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 0.47/1.38 ncf('1.2.1.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []))],reduction('1.2')).
% 0.47/1.38 ncf('1.2.1.2.1.2',plain,[-(subset(298 ^ [], 300 ^ []))],extension(302 ^ 9)).
% 0.47/1.38 ncf('1.2.1.2.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], 299 ^ [])],extension(141 ^ 8)).
% 0.47/1.38 %-----------------------------------------------------
% 0.47/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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