TSTP Solution File: SEU230+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n018.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 12:02:47 EDT 2023
% Result : Theorem 0.37s 1.40s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 12:34:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.37/1.40
% 0.37/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.40 ncf(matrix, plain, [(393 ^ _49700) ^ [] : [in(391 ^ [], succ(391 ^ []))], (98 ^ _49700) ^ [_52829, _52831] : [_52831 = _52829, -(singleton(_52831) = singleton(_52829))], (114 ^ _49700) ^ [_53386, _53388] : [_53388 = _53386, -(succ(_53388) = succ(_53386))], (104 ^ _49700) ^ [_53075, _53077, _53079, _53081] : [-(set_union2(_53081, _53077) = set_union2(_53079, _53075)), _53081 = _53079, _53077 = _53075], (2 ^ _49700) ^ [_49844] : [-(_49844 = _49844)], (4 ^ _49700) ^ [_49951, _49953] : [_49953 = _49951, -(_49951 = _49953)], (10 ^ _49700) ^ [_50155, _50157, _50159] : [-(_50159 = _50155), _50159 = _50157, _50157 = _50155], (20 ^ _49700) ^ [_50468, _50470] : [-(one_to_one(_50468)), _50470 = _50468, one_to_one(_50470)], (30 ^ _49700) ^ [_50763, _50765] : [-(relation(_50763)), _50765 = _50763, relation(_50765)], (40 ^ _49700) ^ [_51058, _51060] : [-(relation_empty_yielding(_51058)), _51060 = _51058, relation_empty_yielding(_51060)], (50 ^ _49700) ^ [_51353, _51355] : [-(function(_51353)), _51355 = _51353, function(_51355)], (60 ^ _49700) ^ [_51676, _51678, _51680, _51682] : [-(element(_51680, _51676)), element(_51682, _51678), _51682 = _51680, _51678 = _51676], (74 ^ _49700) ^ [_52092, _52094] : [-(empty(_52092)), _52094 = _52092, empty(_52094)], (84 ^ _49700) ^ [_52395, _52397, _52399, _52401] : [-(in(_52399, _52395)), in(_52401, _52397), _52401 = _52399, _52397 = _52395], (120 ^ _49700) ^ [_53614, _53616] : [in(_53616, _53614), in(_53614, _53616)], (126 ^ _49700) ^ [_53811] : [empty(_53811), -(function(_53811))], (132 ^ _49700) ^ [_53997] : [empty(_53997), -(relation(_53997))], (138 ^ _49700) ^ [_54183] : [149 ^ _49700 : [(150 ^ _49700) ^ [] : [-(relation(_54183))], (152 ^ _49700) ^ [] : [-(function(_54183))], (154 ^ _49700) ^ [] : [-(one_to_one(_54183))]], relation(_54183), empty(_54183), function(_54183)], (156 ^ _49700) ^ [_54675, _54677] : [-(set_union2(_54677, _54675) = set_union2(_54675, _54677))], (158 ^ _49700) ^ [_54761] : [-(succ(_54761) = set_union2(_54761, singleton(_54761)))], (176 ^ _49700) ^ [_55425, _55427] : [-(_55425 = singleton(_55427)), 180 ^ _49700 : [(181 ^ _49700) ^ [] : [-(in(177 ^ [_55425, _55427], _55425))], (183 ^ _49700) ^ [] : [177 ^ [_55425, _55427] = _55427]], 184 ^ _49700 : [(185 ^ _49700) ^ [] : [-(177 ^ [_55425, _55427] = _55427)], (187 ^ _49700) ^ [] : [in(177 ^ [_55425, _55427], _55425)]]], (160 ^ _49700) ^ [_54904, _54906] : [_54904 = singleton(_54906), 163 ^ _49700 : [(164 ^ _49700) ^ [_55074] : [in(_55074, _54904), -(_55074 = _54906)], (170 ^ _49700) ^ [_55246] : [_55246 = _54906, -(in(_55246, _54904))]]], (213 ^ _49700) ^ [_56729, _56731, _56733] : [-(_56729 = set_union2(_56733, _56731)), 217 ^ _49700 : [(218 ^ _49700) ^ [] : [-(in(214 ^ [_56729, _56731, _56733], _56729))], (220 ^ _49700) ^ [] : [in(214 ^ [_56729, _56731, _56733], _56733)], (222 ^ _49700) ^ [] : [in(214 ^ [_56729, _56731, _56733], _56731)]], 223 ^ _49700 : [(230 ^ _49700) ^ [] : [in(214 ^ [_56729, _56731, _56733], _56729)], (224 ^ _49700) ^ [] : [-(in(214 ^ [_56729, _56731, _56733], _56733)), -(in(214 ^ [_56729, _56731, _56733], _56731))]]], (191 ^ _49700) ^ [_56004, _56006, _56008] : [_56004 = set_union2(_56008, _56006), 194 ^ _49700 : [(205 ^ _49700) ^ [_56464] : [206 ^ _49700 : [(207 ^ _49700) ^ [] : [in(_56464, _56008)], (209 ^ _49700) ^ [] : [in(_56464, _56006)]], -(in(_56464, _56004))], (195 ^ _49700) ^ [_56186] : [in(_56186, _56004), -(in(_56186, _56008)), -(in(_56186, _56006))]]], (234 ^ _49700) ^ [] : [true___, -(true___)], (240 ^ _49700) ^ [] : [true___, -(true___)], (246 ^ _49700) ^ [] : [true___, -(true___)], (252 ^ _49700) ^ [] : [true___, -(true___)], (258 ^ _49700) ^ [] : [true___, -(true___)], (265 ^ _49700) ^ [_58085] : [-(element(263 ^ [_58085], _58085))], (267 ^ _49700) ^ [] : [-(empty(empty_set))], (269 ^ _49700) ^ [] : [-(relation(empty_set))], (271 ^ _49700) ^ [] : [-(relation_empty_yielding(empty_set))], (273 ^ _49700) ^ [_58330] : [empty(succ(_58330))], (275 ^ _49700) ^ [] : [-(empty(empty_set))], (277 ^ _49700) ^ [_58491, _58493] : [-(relation(set_union2(_58493, _58491))), relation(_58493), relation(_58491)], (287 ^ _49700) ^ [_58790, _58792] : [-(empty(_58792)), empty(set_union2(_58792, _58790))], (293 ^ _49700) ^ [_59006, _59008] : [-(empty(_59008)), empty(set_union2(_59006, _59008))], (299 ^ _49700) ^ [] : [-(empty(empty_set))], (301 ^ _49700) ^ [] : [-(relation(empty_set))], (303 ^ _49700) ^ [_59315, _59317] : [-(set_union2(_59317, _59317) = _59317)], (306 ^ _49700) ^ [] : [-(relation(304 ^ []))], (308 ^ _49700) ^ [] : [-(function(304 ^ []))], (311 ^ _49700) ^ [] : [-(empty(309 ^ []))], (313 ^ _49700) ^ [] : [-(relation(309 ^ []))], (316 ^ _49700) ^ [] : [-(empty(314 ^ []))], (319 ^ _49700) ^ [] : [-(relation(317 ^ []))], (321 ^ _49700) ^ [] : [-(empty(317 ^ []))], (323 ^ _49700) ^ [] : [-(function(317 ^ []))], (326 ^ _49700) ^ [] : [empty(324 ^ [])], (328 ^ _49700) ^ [] : [-(relation(324 ^ []))], (331 ^ _49700) ^ [] : [empty(329 ^ [])], (334 ^ _49700) ^ [] : [-(relation(332 ^ []))], (336 ^ _49700) ^ [] : [-(function(332 ^ []))], (338 ^ _49700) ^ [] : [-(one_to_one(332 ^ []))], (341 ^ _49700) ^ [] : [-(relation(339 ^ []))], (343 ^ _49700) ^ [] : [-(relation_empty_yielding(339 ^ []))], (346 ^ _49700) ^ [] : [-(relation(344 ^ []))], (348 ^ _49700) ^ [] : [-(relation_empty_yielding(344 ^ []))], (350 ^ _49700) ^ [] : [-(function(344 ^ []))], (352 ^ _49700) ^ [_60801] : [-(set_union2(_60801, empty_set) = _60801)], (354 ^ _49700) ^ [_60911, _60913] : [in(_60913, _60911), -(element(_60913, _60911))], (360 ^ _49700) ^ [_61121, _61123] : [element(_61123, _61121), -(empty(_61121)), -(in(_61123, _61121))], (370 ^ _49700) ^ [_61405] : [empty(_61405), -(_61405 = empty_set)], (376 ^ _49700) ^ [_61607, _61609] : [in(_61609, _61607), empty(_61607)], (382 ^ _49700) ^ [_61794, _61796] : [empty(_61796), -(_61796 = _61794), empty(_61794)]], input).
% 0.37/1.40 ncf('1',plain,[in(391 ^ [], succ(391 ^ []))],start(393 ^ 0)).
% 0.37/1.40 ncf('1.1',plain,[-(in(391 ^ [], succ(391 ^ []))), 209 : in(391 ^ [], singleton(391 ^ [])), 205 : succ(391 ^ []) = set_union2(391 ^ [], singleton(391 ^ []))],extension(191 ^ 1,bind([[_56004, _56006, _56008, _56464], [succ(391 ^ []), singleton(391 ^ []), 391 ^ [], 391 ^ []]]))).
% 0.37/1.40 ncf('1.1.1',plain,[-(in(391 ^ [], singleton(391 ^ []))), 170 : 391 ^ [] = 391 ^ [], 170 : singleton(391 ^ []) = singleton(391 ^ [])],extension(160 ^ 6,bind([[_54904, _54906, _55246], [singleton(391 ^ []), 391 ^ [], 391 ^ []]]))).
% 0.37/1.40 ncf('1.1.1.1',plain,[-(391 ^ [] = 391 ^ [])],extension(2 ^ 9,bind([[_49844], [391 ^ []]]))).
% 0.37/1.40 ncf('1.1.1.2',plain,[-(singleton(391 ^ []) = singleton(391 ^ []))],extension(2 ^ 7,bind([[_49844], [singleton(391 ^ [])]]))).
% 0.37/1.40 ncf('1.1.2',plain,[-(succ(391 ^ []) = set_union2(391 ^ [], singleton(391 ^ [])))],extension(158 ^ 2,bind([[_54761], [391 ^ []]]))).
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------