TSTP Solution File: SET695+4 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET695+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 11:56:18 EDT 2023
% Result : Theorem 43.49s 42.75s
% Output : Proof 43.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET695+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n009.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 18:48:02 EDT 2023
% 0.13/0.33 % CPUTime :
% 43.49/42.75
% 43.49/42.75 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.49/42.75 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.49/42.75 %-----------------------------------------------------
% 43.49/42.75 ncf(matrix, plain, [(306 ^ _59366) ^ [] : [307 ^ _59366 : [(310 ^ _59366) ^ [] : [subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []))], (308 ^ _59366) ^ [] : [-(subset(298 ^ [], 299 ^ []))]], 311 ^ _59366 : [(314 ^ _59366) ^ [] : [subset(298 ^ [], 299 ^ [])], (312 ^ _59366) ^ [] : [-(subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])))]]], (304 ^ _59366) ^ [] : [-(subset(299 ^ [], 300 ^ []))], (302 ^ _59366) ^ [] : [-(subset(298 ^ [], 300 ^ []))], !, (183 ^ _48772) ^ [_55128, _55130, _55132] : [-(member(_55132, intersection(_55130, _55128))), member(_55132, _55130), member(_55132, _55128)], (221 ^ _48772) ^ [_56428, _56430, _56432] : [-(member(_56432, difference(_56428, _56430))), member(_56432, _56428), -(member(_56432, _56430))], (243 ^ _48772) ^ [_57202, _57204, _57206] : [member(_57206, unordered_pair(_57204, _57202)), -(_57206 = _57204), -(_57206 = _57202)], (78 ^ _48772) ^ [_51447, _51449, _51451, _51453] : [-(union(_51453, _51449) = union(_51451, _51447)), _51453 = _51451, _51449 = _51447], (203 ^ _48772) ^ [_55756, _55758, _55760] : [204 ^ _48772 : [(207 ^ _48772) ^ [] : [member(_55760, _55756)], (205 ^ _48772) ^ [] : [member(_55760, _55758)]], -(member(_55760, union(_55758, _55756)))], (237 ^ _48772) ^ [_56943, _56945] : [_56945 = _56943, -(member(_56945, singleton(_56943)))], (4 ^ _48772) ^ [_49003, _49005] : [_49005 = _49003, -(_49003 = _49005)], (193 ^ _48772) ^ [_55488, _55490, _55492] : [member(_55492, union(_55490, _55488)), -(member(_55492, _55490)), -(member(_55492, _55488))], (2 ^ _48772) ^ [_48896] : [-(_48896 = _48896)], (116 ^ _48772) ^ [_52799, _52801, _52803, _52805] : [-(difference(_52805, _52801) = difference(_52803, _52799)), _52805 = _52803, _52801 = _52799], (104 ^ _48772) ^ [_52355, _52357] : [_52357 = _52355, -(sum(_52357) = sum(_52355))], (126 ^ _48772) ^ [_53185, _53187] : [subset(_53187, _53185), 129 ^ _48772 : [(130 ^ _48772) ^ [_53322] : [member(_53322, _53187), -(member(_53322, _53185))]]], (62 ^ _48772) ^ [_50842, _50844] : [_50844 = _50842, -(power_set(_50844) = power_set(_50842))], (136 ^ _48772) ^ [_53499, _53501] : [138 ^ _48772 : [(141 ^ _48772) ^ [] : [member(137 ^ [_53499, _53501], _53499)], (139 ^ _48772) ^ [] : [-(member(137 ^ [_53499, _53501], _53501))]], -(subset(_53501, _53499))], (169 ^ _48772) ^ [_54618, _54620] : [subset(_54620, _54618), -(member(_54620, power_set(_54618)))], (253 ^ _48772) ^ [_57470, _57472, _57474] : [254 ^ _48772 : [(257 ^ _48772) ^ [] : [_57474 = _57470], (255 ^ _48772) ^ [] : [_57474 = _57472]], -(member(_57474, unordered_pair(_57472, _57470)))], (270 ^ _48772) ^ [_58110, _58112] : [-(member(_58112, sum(_58110))), 271 ^ _48772 : [(272 ^ _48772) ^ [_58204] : [member(_58204, _58110), member(_58112, _58204)]]], (68 ^ _48772) ^ [_51088, _51090, _51092, _51094] : [-(intersection(_51094, _51090) = intersection(_51092, _51088)), _51094 = _51092, _51090 = _51088], (280 ^ _48772) ^ [_58487, _58489] : [member(_58489, product(_58487)), 283 ^ _48772 : [(284 ^ _48772) ^ [_58628] : [member(_58628, _58487), -(member(_58489, _58628))]]], (20 ^ _48772) ^ [_49548, _49550, _49552, _49554] : [-(equal_set(_49552, _49548)), equal_set(_49554, _49550), _49554 = _49552, _49550 = _49548], (153 ^ _48772) ^ [_54122, _54124] : [-(equal_set(_54124, _54122)), subset(_54124, _54122), subset(_54122, _54124)], (211 ^ _48772) ^ [_56026] : [member(_56026, empty_set)], (88 ^ _48772) ^ [_51778, _51780] : [_51780 = _51778, -(singleton(_51780) = singleton(_51778))], (145 ^ _48772) ^ [_53885, _53887] : [equal_set(_53887, _53885), 148 ^ _48772 : [(151 ^ _48772) ^ [] : [-(subset(_53885, _53887))], (149 ^ _48772) ^ [] : [-(subset(_53887, _53885))]]], (261 ^ _48772) ^ [_57799, _57801] : [member(_57801, sum(_57799)), 265 ^ _48772 : [(268 ^ _48772) ^ [] : [-(member(_57801, 264 ^ [_57799, _57801]))], (266 ^ _48772) ^ [] : [-(member(264 ^ [_57799, _57801], _57799))]]], (94 ^ _48772) ^ [_52024, _52026, _52028, _52030] : [-(unordered_pair(_52030, _52026) = unordered_pair(_52028, _52024)), _52030 = _52028, _52026 = _52024], (290 ^ _48772) ^ [_58805, _58807] : [292 ^ _48772 : [(295 ^ _48772) ^ [] : [member(_58807, 291 ^ [_58805, _58807])], (293 ^ _48772) ^ [] : [-(member(291 ^ [_58805, _58807], _58805))]], -(member(_58807, product(_58805)))], (163 ^ _48772) ^ [_54452, _54454] : [member(_54454, power_set(_54452)), -(subset(_54454, _54452))], (48 ^ _48772) ^ [_50416, _50418, _50420, _50422] : [-(subset(_50420, _50416)), subset(_50422, _50418), _50422 = _50420, _50418 = _50416], (34 ^ _48772) ^ [_49992, _49994, _49996, _49998] : [-(member(_49996, _49992)), member(_49998, _49994), _49998 = _49996, _49994 = _49992], (175 ^ _48772) ^ [_54877, _54879, _54881] : [member(_54881, intersection(_54879, _54877)), 178 ^ _48772 : [(181 ^ _48772) ^ [] : [-(member(_54881, _54877))], (179 ^ _48772) ^ [] : [-(member(_54881, _54879))]]], (10 ^ _48772) ^ [_49207, _49209, _49211] : [-(_49211 = _49207), _49211 = _49209, _49209 = _49207], (110 ^ _48772) ^ [_52573, _52575] : [_52575 = _52573, -(product(_52575) = product(_52573))], (231 ^ _48772) ^ [_56777, _56779] : [member(_56779, singleton(_56777)), -(_56779 = _56777)], (213 ^ _48772) ^ [_56176, _56178, _56180] : [member(_56180, difference(_56176, _56178)), 216 ^ _48772 : [(219 ^ _48772) ^ [] : [member(_56180, _56178)], (217 ^ _48772) ^ [] : [-(member(_56180, _56176))]]]], input).
% 43.49/42.75 ncf('1',plain,[308 : -(subset(298 ^ [], 299 ^ [])), 312 : -(subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])))],start(306 ^ 0)).
% 43.49/42.75 ncf('1.1',plain,[subset(298 ^ [], 299 ^ []), 130 : member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 298 ^ []), 130 : -(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 299 ^ []))],extension(126 ^ 3,bind([[_53185, _53187, _53322], [299 ^ [], 298 ^ [], 137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]]))).
% 43.49/42.75 ncf('1.1.1',plain,[-(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 298 ^ [])), -(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 298 ^ []))), member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 300 ^ [])],extension(221 ^ 6,bind([[_56428, _56430, _56432], [300 ^ [], 298 ^ [], 137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]]))).
% 43.49/42.75 ncf('1.1.1.1',plain,[member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 298 ^ [])), -(subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])))],extension(136 ^ 7,bind([[_53499, _53501], [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]))).
% 43.49/42.75 ncf('1.1.1.1.1',plain,[subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []))],extension(310 ^ 8)).
% 43.49/42.75 ncf('1.1.1.2',plain,[-(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 300 ^ [])), member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 299 ^ []))],extension(213 ^ 7,bind([[_56176, _56178, _56180], [300 ^ [], 299 ^ [], 137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]]))).
% 43.49/42.75 ncf('1.1.1.2.1',plain,[-(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 299 ^ []))), -(subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])))],extension(136 ^ 8,bind([[_53499, _53501], [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]))).
% 43.49/42.75 ncf('1.1.1.2.1.1',plain,[subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []))],extension(310 ^ 9)).
% 43.49/42.75 ncf('1.1.2',plain,[member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], 299 ^ []), member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 299 ^ []))],extension(213 ^ 6,bind([[_56176, _56178, _56180], [300 ^ [], 299 ^ [], 137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]]))).
% 43.49/42.75 ncf('1.1.2.1',plain,[-(member(137 ^ [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])], difference(300 ^ [], 299 ^ []))), -(subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])))],extension(136 ^ 7,bind([[_53499, _53501], [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ [])]]))).
% 43.49/42.75 ncf('1.1.2.1.1',plain,[subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ []))],extension(310 ^ 8)).
% 43.49/42.75 ncf('1.2',plain,[subset(difference(300 ^ [], 299 ^ []), difference(300 ^ [], 298 ^ [])), 130 : member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 299 ^ [])), 130 : -(member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 298 ^ [])))],extension(126 ^ 3,bind([[_53185, _53187, _53322], [difference(300 ^ [], 298 ^ []), difference(300 ^ [], 299 ^ []), 137 ^ [299 ^ [], 298 ^ []]]]))).
% 43.49/42.75 ncf('1.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 299 ^ []))), member(137 ^ [299 ^ [], 298 ^ []], 300 ^ []), -(member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []))],extension(221 ^ 6,bind([[_56428, _56430, _56432], [300 ^ [], 299 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 43.49/42.75 ncf('1.2.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 300 ^ [])), 130 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ []), 130 : subset(298 ^ [], 300 ^ [])],extension(126 ^ 7,bind([[_53185, _53187, _53322], [300 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 43.49/42.75 ncf('1.2.1.1.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 10,bind([[_53499, _53501], [299 ^ [], 298 ^ []]]))).
% 43.49/42.75 ncf('1.2.1.1.1.1',plain,[subset(298 ^ [], 299 ^ [])],extension(314 ^ 11)).
% 43.49/42.75 ncf('1.2.1.1.2',plain,[-(subset(298 ^ [], 300 ^ []))],extension(302 ^ 8)).
% 43.49/42.75 ncf('1.2.1.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], 299 ^ []), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 7,bind([[_53499, _53501], [299 ^ [], 298 ^ []]]))).
% 43.49/42.75 ncf('1.2.1.2.1',plain,[subset(298 ^ [], 299 ^ [])],extension(314 ^ 8)).
% 43.49/42.75 ncf('1.2.2',plain,[member(137 ^ [299 ^ [], 298 ^ []], difference(300 ^ [], 298 ^ [])), 219 : member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])],extension(213 ^ 6,bind([[_56176, _56178, _56180], [300 ^ [], 298 ^ [], 137 ^ [299 ^ [], 298 ^ []]]]))).
% 43.49/42.75 ncf('1.2.2.1',plain,[-(member(137 ^ [299 ^ [], 298 ^ []], 298 ^ [])), -(subset(298 ^ [], 299 ^ []))],extension(136 ^ 9,bind([[_53499, _53501], [299 ^ [], 298 ^ []]]))).
% 43.49/42.75 ncf('1.2.2.1.1',plain,[subset(298 ^ [], 299 ^ [])],extension(314 ^ 10)).
% 43.49/42.75 %-----------------------------------------------------
% 43.49/42.75 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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