TSTP Solution File: SEU242+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU242+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 12:02:50 EDT 2023
% Result : Theorem 0.66s 1.37s
% Output : Proof 0.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU242+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n018.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 13:25:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.66/1.37
% 0.66/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.66/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/1.37 %-----------------------------------------------------
% 0.66/1.37 ncf(matrix, plain, [(407 ^ _65036) ^ [] : [-(relation(405 ^ []))], (409 ^ _65036) ^ [] : [410 ^ _65036 : [(411 ^ _65036) ^ [] : [-(connected(405 ^ []))], (415 ^ _65036) ^ [] : [-(in(412 ^ [], relation_field(405 ^ [])))], (417 ^ _65036) ^ [] : [-(in(413 ^ [], relation_field(405 ^ [])))], (419 ^ _65036) ^ [] : [412 ^ [] = 413 ^ []], (421 ^ _65036) ^ [] : [in(ordered_pair(412 ^ [], 413 ^ []), 405 ^ [])], (423 ^ _65036) ^ [] : [in(ordered_pair(413 ^ [], 412 ^ []), 405 ^ [])]], 424 ^ _65036 : [(443 ^ _65036) ^ [] : [connected(405 ^ [])], (425 ^ _65036) ^ [_78746, _78748] : [in(_78748, relation_field(405 ^ [])), in(_78746, relation_field(405 ^ [])), -(_78748 = _78746), -(in(ordered_pair(_78748, _78746), 405 ^ [])), -(in(ordered_pair(_78746, _78748), 405 ^ []))]]], (112 ^ _65036) ^ [_68639, _68641, _68643, _68645] : [-(unordered_pair(_68645, _68641) = unordered_pair(_68643, _68639)), _68645 = _68643, _68641 = _68639], (122 ^ _65036) ^ [_68970, _68972] : [_68972 = _68970, -(singleton(_68972) = singleton(_68970))], (128 ^ _65036) ^ [_69188, _69190] : [_69190 = _69188, -(relation_dom(_69190) = relation_dom(_69188))], (134 ^ _65036) ^ [_69406, _69408] : [_69408 = _69406, -(relation_rng(_69408) = relation_rng(_69406))], (140 ^ _65036) ^ [_69652, _69654, _69656, _69658] : [-(set_union2(_69658, _69654) = set_union2(_69656, _69652)), _69658 = _69656, _69654 = _69652], (150 ^ _65036) ^ [_69983, _69985] : [_69985 = _69983, -(relation_field(_69985) = relation_field(_69983))], (156 ^ _65036) ^ [_70209, _70211, _70213, _70215] : [-(ordered_pair(_70215, _70211) = ordered_pair(_70213, _70209)), _70215 = _70213, _70211 = _70209], (2 ^ _65036) ^ [_65180] : [-(_65180 = _65180)], (4 ^ _65036) ^ [_65287, _65289] : [_65289 = _65287, -(_65287 = _65289)], (10 ^ _65036) ^ [_65491, _65493, _65495] : [-(_65495 = _65491), _65495 = _65493, _65493 = _65491], (20 ^ _65036) ^ [_65832, _65834, _65836, _65838] : [-(is_connected_in(_65836, _65832)), is_connected_in(_65838, _65834), _65838 = _65836, _65834 = _65832], (34 ^ _65036) ^ [_66248, _66250] : [-(function(_66248)), _66250 = _66248, function(_66250)], (44 ^ _65036) ^ [_66543, _66545] : [-(one_to_one(_66543)), _66545 = _66543, one_to_one(_66545)], (54 ^ _65036) ^ [_66866, _66868, _66870, _66872] : [-(element(_66870, _66866)), element(_66872, _66868), _66872 = _66870, _66868 = _66866], (68 ^ _65036) ^ [_67282, _67284] : [-(empty(_67282)), _67284 = _67282, empty(_67284)], (78 ^ _65036) ^ [_67577, _67579] : [-(relation(_67577)), _67579 = _67577, relation(_67579)], (88 ^ _65036) ^ [_67872, _67874] : [-(connected(_67872)), _67874 = _67872, connected(_67874)], (98 ^ _65036) ^ [_68175, _68177, _68179, _68181] : [-(in(_68179, _68175)), in(_68181, _68177), _68181 = _68179, _68177 = _68175], (166 ^ _65036) ^ [_70566, _70568] : [in(_70568, _70566), in(_70566, _70568)], (172 ^ _65036) ^ [_70763] : [empty(_70763), -(function(_70763))], (178 ^ _65036) ^ [_70949] : [189 ^ _65036 : [(190 ^ _65036) ^ [] : [-(relation(_70949))], (192 ^ _65036) ^ [] : [-(function(_70949))], (194 ^ _65036) ^ [] : [-(one_to_one(_70949))]], relation(_70949), empty(_70949), function(_70949)], (196 ^ _65036) ^ [_71441, _71443] : [-(unordered_pair(_71443, _71441) = unordered_pair(_71441, _71443))], (198 ^ _65036) ^ [_71541, _71543] : [-(set_union2(_71543, _71541) = set_union2(_71541, _71543))], (200 ^ _65036) ^ [_71642] : [relation(_71642), 203 ^ _65036 : [(204 ^ _65036) ^ [] : [connected(_71642), -(is_connected_in(_71642, relation_field(_71642)))], (210 ^ _65036) ^ [] : [is_connected_in(_71642, relation_field(_71642)), -(connected(_71642))]]], (216 ^ _65036) ^ [_72072, _72074] : [-(ordered_pair(_72074, _72072) = unordered_pair(unordered_pair(_72074, _72072), singleton(_72074)))], (218 ^ _65036) ^ [_72178] : [relation(_72178), -(relation_field(_72178) = set_union2(relation_dom(_72178), relation_rng(_72178)))], (224 ^ _65036) ^ [_72384] : [relation(_72384), 227 ^ _65036 : [(250 ^ _65036) ^ [_73276] : [253 ^ _65036 : [(254 ^ _65036) ^ [] : [-(in(251 ^ [_72384, _73276], _73276))], (256 ^ _65036) ^ [] : [-(in(252 ^ [_72384, _73276], _73276))], (258 ^ _65036) ^ [] : [251 ^ [_72384, _73276] = 252 ^ [_72384, _73276]], (260 ^ _65036) ^ [] : [in(ordered_pair(251 ^ [_72384, _73276], 252 ^ [_72384, _73276]), _72384)], (262 ^ _65036) ^ [] : [in(ordered_pair(252 ^ [_72384, _73276], 251 ^ [_72384, _73276]), _72384)]], -(is_connected_in(_72384, _73276))], (228 ^ _65036) ^ [_72592] : [is_connected_in(_72384, _72592), 231 ^ _65036 : [(232 ^ _65036) ^ [_72782, _72784] : [in(_72784, _72592), in(_72782, _72592), -(_72784 = _72782), -(in(ordered_pair(_72784, _72782), _72384)), -(in(ordered_pair(_72782, _72784), _72384))]]]]], (266 ^ _65036) ^ [] : [true___, -(true___)], (272 ^ _65036) ^ [] : [true___, -(true___)], (278 ^ _65036) ^ [] : [true___, -(true___)], (284 ^ _65036) ^ [] : [true___, -(true___)], (290 ^ _65036) ^ [] : [true___, -(true___)], (296 ^ _65036) ^ [] : [true___, -(true___)], (302 ^ _65036) ^ [] : [true___, -(true___)], (308 ^ _65036) ^ [] : [true___, -(true___)], (314 ^ _65036) ^ [] : [true___, -(true___)], (321 ^ _65036) ^ [_75156] : [-(element(319 ^ [_75156], _75156))], (323 ^ _65036) ^ [] : [-(empty(empty_set))], (325 ^ _65036) ^ [_75305, _75307] : [empty(ordered_pair(_75307, _75305))], (327 ^ _65036) ^ [_75416, _75418] : [-(empty(_75418)), empty(set_union2(_75418, _75416))], (333 ^ _65036) ^ [_75632, _75634] : [-(empty(_75634)), empty(set_union2(_75632, _75634))], (339 ^ _65036) ^ [_75833, _75835] : [-(set_union2(_75835, _75835) = _75835)], (342 ^ _65036) ^ [] : [-(relation(340 ^ []))], (344 ^ _65036) ^ [] : [-(function(340 ^ []))], (347 ^ _65036) ^ [] : [-(empty(345 ^ []))], (350 ^ _65036) ^ [] : [-(relation(348 ^ []))], (352 ^ _65036) ^ [] : [-(empty(348 ^ []))], (354 ^ _65036) ^ [] : [-(function(348 ^ []))], (357 ^ _65036) ^ [] : [empty(355 ^ [])], (360 ^ _65036) ^ [] : [-(relation(358 ^ []))], (362 ^ _65036) ^ [] : [-(function(358 ^ []))], (364 ^ _65036) ^ [] : [-(one_to_one(358 ^ []))], (366 ^ _65036) ^ [_76662] : [-(set_union2(_76662, empty_set) = _76662)], (368 ^ _65036) ^ [_76772, _76774] : [in(_76774, _76772), -(element(_76774, _76772))], (374 ^ _65036) ^ [_76982, _76984] : [element(_76984, _76982), -(empty(_76982)), -(in(_76984, _76982))], (384 ^ _65036) ^ [_77266] : [empty(_77266), -(_77266 = empty_set)], (390 ^ _65036) ^ [_77468, _77470] : [in(_77470, _77468), empty(_77468)], (396 ^ _65036) ^ [_77655, _77657] : [empty(_77657), -(_77657 = _77655), empty(_77655)]], input).
% 0.66/1.37 ncf('1',plain,[419 : 412 ^ [] = 413 ^ [], 443 : connected(405 ^ [])],start(409 ^ 0)).
% 0.66/1.37 ncf('1.1',plain,[-(412 ^ [] = 413 ^ []), 413 ^ [] = 412 ^ []],extension(4 ^ 3,bind([[_65287, _65289], [412 ^ [], 413 ^ []]]))).
% 0.66/1.37 ncf('1.1.1',plain,[-(413 ^ [] = 412 ^ []), 232 : in(413 ^ [], relation_field(405 ^ [])), 232 : in(412 ^ [], relation_field(405 ^ [])), 232 : -(in(ordered_pair(413 ^ [], 412 ^ []), 405 ^ [])), 232 : -(in(ordered_pair(412 ^ [], 413 ^ []), 405 ^ [])), 232 : is_connected_in(405 ^ [], relation_field(405 ^ [])), 228 : relation(405 ^ [])],extension(224 ^ 4,bind([[_72384, _72592, _72782, _72784], [405 ^ [], relation_field(405 ^ []), 412 ^ [], 413 ^ []]]))).
% 0.66/1.37 ncf('1.1.1.1',plain,[-(in(413 ^ [], relation_field(405 ^ [])))],extension(417 ^ 9)).
% 0.66/1.37 ncf('1.1.1.2',plain,[-(in(412 ^ [], relation_field(405 ^ [])))],extension(415 ^ 9)).
% 0.66/1.37 ncf('1.1.1.3',plain,[in(ordered_pair(413 ^ [], 412 ^ []), 405 ^ [])],extension(423 ^ 9)).
% 0.66/1.37 ncf('1.1.1.4',plain,[in(ordered_pair(412 ^ [], 413 ^ []), 405 ^ [])],extension(421 ^ 9)).
% 0.66/1.37 ncf('1.1.1.5',plain,[-(is_connected_in(405 ^ [], relation_field(405 ^ []))), is_connected_in(405 ^ [], relation_field(405 ^ [])), 405 ^ [] = 405 ^ [], relation_field(405 ^ []) = relation_field(405 ^ [])],extension(20 ^ 7,bind([[_65832, _65834, _65836, _65838], [relation_field(405 ^ []), relation_field(405 ^ []), 405 ^ [], 405 ^ []]]))).
% 0.66/1.37 ncf('1.1.1.5.1',plain,[-(is_connected_in(405 ^ [], relation_field(405 ^ []))), 204 : connected(405 ^ []), 204 : relation(405 ^ [])],extension(200 ^ 8,bind([[_71642], [405 ^ []]]))).
% 0.66/1.37 ncf('1.1.1.5.1.1',plain,[-(connected(405 ^ []))],extension(411 ^ 11)).
% 0.66/1.37 ncf('1.1.1.5.1.2',plain,[-(relation(405 ^ []))],extension(407 ^ 9)).
% 0.66/1.37 ncf('1.1.1.5.2',plain,[-(405 ^ [] = 405 ^ [])],extension(2 ^ 8,bind([[_65180], [405 ^ []]]))).
% 0.66/1.37 ncf('1.1.1.5.3',plain,[-(relation_field(405 ^ []) = relation_field(405 ^ [])), 405 ^ [] = 405 ^ []],extension(150 ^ 8,bind([[_69983, _69985], [405 ^ [], 405 ^ []]]))).
% 0.66/1.37 ncf('1.1.1.5.3.1',plain,[-(405 ^ [] = 405 ^ [])],lemmata('[1, 1, 1].x')).
% 0.66/1.37 ncf('1.1.1.6',plain,[-(relation(405 ^ []))],extension(407 ^ 5)).
% 0.66/1.37 ncf('1.2',plain,[-(connected(405 ^ [])), 210 : is_connected_in(405 ^ [], relation_field(405 ^ [])), 210 : relation(405 ^ [])],extension(200 ^ 3,bind([[_71642], [405 ^ []]]))).
% 0.66/1.37 ncf('1.2.1',plain,[-(is_connected_in(405 ^ [], relation_field(405 ^ []))), 258 : 251 ^ [405 ^ [], relation_field(405 ^ [])] = 252 ^ [405 ^ [], relation_field(405 ^ [])], 250 : relation(405 ^ [])],extension(224 ^ 6,bind([[_72384, _73276], [405 ^ [], relation_field(405 ^ [])]]))).
% 0.66/1.37 ncf('1.2.1.1',plain,[-(251 ^ [405 ^ [], relation_field(405 ^ [])] = 252 ^ [405 ^ [], relation_field(405 ^ [])]), in(251 ^ [405 ^ [], relation_field(405 ^ [])], relation_field(405 ^ [])), in(252 ^ [405 ^ [], relation_field(405 ^ [])], relation_field(405 ^ [])), -(in(ordered_pair(251 ^ [405 ^ [], relation_field(405 ^ [])], 252 ^ [405 ^ [], relation_field(405 ^ [])]), 405 ^ [])), -(in(ordered_pair(252 ^ [405 ^ [], relation_field(405 ^ [])], 251 ^ [405 ^ [], relation_field(405 ^ [])]), 405 ^ []))],extension(425 ^ 11,bind([[_78746, _78748], [252 ^ [405 ^ [], relation_field(405 ^ [])], 251 ^ [405 ^ [], relation_field(405 ^ [])]]]))).
% 0.66/1.37 ncf('1.2.1.1.1',plain,[-(in(251 ^ [405 ^ [], relation_field(405 ^ [])], relation_field(405 ^ [])))],extension(254 ^ 12)).
% 0.66/1.37 ncf('1.2.1.1.2',plain,[-(in(252 ^ [405 ^ [], relation_field(405 ^ [])], relation_field(405 ^ [])))],extension(256 ^ 12)).
% 0.66/1.37 ncf('1.2.1.1.3',plain,[in(ordered_pair(251 ^ [405 ^ [], relation_field(405 ^ [])], 252 ^ [405 ^ [], relation_field(405 ^ [])]), 405 ^ [])],extension(260 ^ 12)).
% 0.66/1.37 ncf('1.2.1.1.4',plain,[in(ordered_pair(252 ^ [405 ^ [], relation_field(405 ^ [])], 251 ^ [405 ^ [], relation_field(405 ^ [])]), 405 ^ [])],extension(262 ^ 12)).
% 0.66/1.37 ncf('1.2.1.2',plain,[-(relation(405 ^ []))],extension(407 ^ 7)).
% 0.66/1.37 ncf('1.2.2',plain,[-(relation(405 ^ []))],extension(407 ^ 4)).
% 0.66/1.37 %-----------------------------------------------------
% 0.66/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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