%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET988+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:56:47 EDT 2023

% Result   : Theorem 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET988+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n024.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 19:06:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(358 ^ _56433) ^ [] : [relation(338 ^ []), function(338 ^ [])], (340 ^ _56433) ^ [_68346] : [in(_68346, 338 ^ []), -(ordered_pair(343 ^ [_68346], 344 ^ [_68346]) = _68346)], (348 ^ _56433) ^ [_68674, _68676, _68678] : [-(_68676 = _68674), in(ordered_pair(_68678, _68676), 338 ^ []), in(ordered_pair(_68678, _68674), 338 ^ [])], (102 ^ _56433) ^ [_59711, _59713] : [_59713 = _59711, -(powerset(_59713) = powerset(_59711))], (108 ^ _56433) ^ [_59957, _59959, _59961, _59963] : [-(unordered_pair(_59963, _59959) = unordered_pair(_59961, _59957)), _59963 = _59961, _59959 = _59957], (118 ^ _56433) ^ [_60288, _60290] : [_60290 = _60288, -(singleton(_60290) = singleton(_60288))], (124 ^ _56433) ^ [_60514, _60516, _60518, _60520] : [-(ordered_pair(_60520, _60516) = ordered_pair(_60518, _60514)), _60520 = _60518, _60516 = _60514], (2 ^ _56433) ^ [_56577] : [-(_56577 = _56577)], (4 ^ _56433) ^ [_56684, _56686] : [_56686 = _56684, -(_56684 = _56686)], (10 ^ _56433) ^ [_56888, _56890, _56892] : [-(_56892 = _56888), _56892 = _56890, _56890 = _56888], (20 ^ _56433) ^ [_57229, _57231, _57233, _57235] : [-(subset(_57233, _57229)), subset(_57235, _57231), _57235 = _57233, _57231 = _57229], (34 ^ _56433) ^ [_57645, _57647] : [-(relation_empty_yielding(_57645)), _57647 = _57645, relation_empty_yielding(_57647)], (44 ^ _56433) ^ [_57968, _57970, _57972, _57974] : [-(element(_57972, _57968)), element(_57974, _57970), _57974 = _57972, _57970 = _57968], (58 ^ _56433) ^ [_58384, _58386] : [-(empty(_58384)), _58386 = _58384, empty(_58386)], (68 ^ _56433) ^ [_58707, _58709, _58711, _58713] : [-(in(_58711, _58707)), in(_58713, _58709), _58713 = _58711, _58709 = _58707], (82 ^ _56433) ^ [_59123, _59125] : [-(relation(_59123)), _59125 = _59123, relation(_59125)], (92 ^ _56433) ^ [_59398, _59400] : [-(function(_59398)), _59400 = _59398, function(_59400)], (134 ^ _56433) ^ [_60844, _60846] : [-(subset(_60846, _60846))], (136 ^ _56433) ^ [] : [-(empty(empty_set))], (138 ^ _56433) ^ [] : [-(relation(empty_set))], (140 ^ _56433) ^ [] : [-(empty(empty_set))], (142 ^ _56433) ^ [] : [-(relation(empty_set))], (144 ^ _56433) ^ [] : [-(relation_empty_yielding(empty_set))], (146 ^ _56433) ^ [] : [-(empty(empty_set))], (148 ^ _56433) ^ [_61262, _61264] : [-(unordered_pair(_61264, _61262) = unordered_pair(_61262, _61264))], (151 ^ _56433) ^ [_61387] : [-(element(149 ^ [_61387], _61387))], (153 ^ _56433) ^ [_61485] : [empty(_61485), -(function(_61485))], (159 ^ _56433) ^ [_61655] : [empty(powerset(_61655))], (161 ^ _56433) ^ [_61733] : [empty(singleton(_61733))], (163 ^ _56433) ^ [_61825, _61827] : [empty(unordered_pair(_61827, _61825))], (165 ^ _56433) ^ [_61922] : [empty(_61922), -(relation(_61922))], (171 ^ _56433) ^ [_62122, _62124] : [element(_62124, _62122), -(empty(_62122)), -(in(_62124, _62122))], (181 ^ _56433) ^ [_62449, _62451] : [element(_62451, powerset(_62449)), -(subset(_62451, _62449))], (187 ^ _56433) ^ [_62615, _62617] : [subset(_62617, _62615), -(element(_62617, powerset(_62615)))], (193 ^ _56433) ^ [_62845, _62847, _62849] : [-(element(_62849, _62845)), in(_62849, _62847), element(_62847, powerset(_62845))], (203 ^ _56433) ^ [_63172, _63174, _63176] : [in(_63176, _63174), element(_63174, powerset(_63172)), empty(_63172)], (213 ^ _56433) ^ [_63468] : [empty(_63468), -(_63468 = empty_set)], (219 ^ _56433) ^ [_63670, _63672] : [empty(_63672), -(_63672 = _63670), empty(_63670)], (229 ^ _56433) ^ [_63967, _63969] : [in(_63969, _63967), in(_63967, _63969)], (236 ^ _56433) ^ [] : [-(relation(234 ^ []))], (238 ^ _56433) ^ [] : [-(function(234 ^ []))], (240 ^ _56433) ^ [_64313] : [-(empty(_64313)), 244 ^ _56433 : [(245 ^ _56433) ^ [] : [-(element(243 ^ [_64313], powerset(_64313)))], (247 ^ _56433) ^ [] : [empty(243 ^ [_64313])]]], (250 ^ _56433) ^ [_64696] : [-(element(248 ^ [_64696], powerset(_64696)))], (252 ^ _56433) ^ [_64747] : [-(empty(248 ^ [_64747]))], (255 ^ _56433) ^ [] : [-(empty(253 ^ []))], (257 ^ _56433) ^ [] : [-(relation(253 ^ []))], (260 ^ _56433) ^ [] : [empty(258 ^ [])], (262 ^ _56433) ^ [] : [-(relation(258 ^ []))], (265 ^ _56433) ^ [] : [-(relation(263 ^ []))], (267 ^ _56433) ^ [] : [-(relation_empty_yielding(263 ^ []))], (269 ^ _56433) ^ [_65292, _65294] : [empty(ordered_pair(_65294, _65292))], (272 ^ _56433) ^ [] : [-(empty(270 ^ []))], (275 ^ _56433) ^ [] : [empty(273 ^ [])], (277 ^ _56433) ^ [_65582, _65584] : [in(_65584, _65582), -(element(_65584, _65582))], (283 ^ _56433) ^ [_65792, _65794] : [in(_65794, _65792), empty(_65792)], (289 ^ _56433) ^ [_65984, _65986] : [-(ordered_pair(_65986, _65984) = unordered_pair(unordered_pair(_65986, _65984), singleton(_65986)))], (330 ^ _56433) ^ [_67676] : [332 ^ _56433 : [(333 ^ _56433) ^ [] : [-(in(331 ^ [_67676], _67676))], (335 ^ _56433) ^ [_67913, _67915] : [331 ^ [_67676] = ordered_pair(_67915, _67913)]], -(relation(_67676))], (318 ^ _56433) ^ [_67215] : [relation(_67215), 321 ^ _56433 : [(322 ^ _56433) ^ [_67363] : [in(_67363, _67215), -(_67363 = ordered_pair(325 ^ [_67215, _67363], 326 ^ [_67215, _67363]))]]], (305 ^ _56433) ^ [_66590] : [309 ^ _56433 : [(310 ^ _56433) ^ [] : [-(in(ordered_pair(306 ^ [_66590], 307 ^ [_66590]), _66590))], (312 ^ _56433) ^ [] : [-(in(ordered_pair(306 ^ [_66590], 308 ^ [_66590]), _66590))], (314 ^ _56433) ^ [] : [307 ^ [_66590] = 308 ^ [_66590]]], -(function(_66590))], (291 ^ _56433) ^ [_66119] : [function(_66119), 294 ^ _56433 : [(295 ^ _56433) ^ [_66300, _66302, _66304] : [-(_66302 = _66300), in(ordered_pair(_66304, _66302), _66119), in(ordered_pair(_66304, _66300), _66119)]]]], input).
% 0.36/1.37  ncf('1',plain,[relation(338 ^ []), function(338 ^ [])],start(358 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(relation(338 ^ [])), 333 : -(in(331 ^ [338 ^ []], 338 ^ []))],extension(330 ^ 1,bind([[_67676], [338 ^ []]]))).
% 0.36/1.37  ncf('1.1.1',plain,[in(331 ^ [338 ^ []], 338 ^ []), -(ordered_pair(343 ^ [331 ^ [338 ^ []]], 344 ^ [331 ^ [338 ^ []]]) = 331 ^ [338 ^ []])],extension(340 ^ 4,bind([[_68346], [331 ^ [338 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.1',plain,[ordered_pair(343 ^ [331 ^ [338 ^ []]], 344 ^ [331 ^ [338 ^ []]]) = 331 ^ [338 ^ []], -(331 ^ [338 ^ []] = ordered_pair(343 ^ [331 ^ [338 ^ []]], 344 ^ [331 ^ [338 ^ []]]))],extension(4 ^ 5,bind([[_56684, _56686], [331 ^ [338 ^ []], ordered_pair(343 ^ [331 ^ [338 ^ []]], 344 ^ [331 ^ [338 ^ []]])]]))).
% 0.36/1.37  ncf('1.1.1.1.1',plain,[331 ^ [338 ^ []] = ordered_pair(343 ^ [331 ^ [338 ^ []]], 344 ^ [331 ^ [338 ^ []]])],extension(335 ^ 6,bind([[_67913, _67915], [344 ^ [331 ^ [338 ^ []]], 343 ^ [331 ^ [338 ^ []]]]]))).
% 0.36/1.37  ncf('1.2',plain,[-(function(338 ^ [])), 310 : -(in(ordered_pair(306 ^ [338 ^ []], 307 ^ [338 ^ []]), 338 ^ []))],extension(305 ^ 1,bind([[_66590], [338 ^ []]]))).
% 0.36/1.37  ncf('1.2.1',plain,[in(ordered_pair(306 ^ [338 ^ []], 307 ^ [338 ^ []]), 338 ^ []), -(307 ^ [338 ^ []] = 308 ^ [338 ^ []]), in(ordered_pair(306 ^ [338 ^ []], 308 ^ [338 ^ []]), 338 ^ [])],extension(348 ^ 4,bind([[_68674, _68676, _68678], [308 ^ [338 ^ []], 307 ^ [338 ^ []], 306 ^ [338 ^ []]]]))).
% 0.36/1.37  ncf('1.2.1.1',plain,[307 ^ [338 ^ []] = 308 ^ [338 ^ []], -(307 ^ [338 ^ []] = 308 ^ [338 ^ []]), 308 ^ [338 ^ []] = 308 ^ [338 ^ []]],extension(10 ^ 5,bind([[_56888, _56890, _56892], [308 ^ [338 ^ []], 308 ^ [338 ^ []], 307 ^ [338 ^ []]]]))).
% 0.36/1.37  ncf('1.2.1.1.1',plain,[307 ^ [338 ^ []] = 308 ^ [338 ^ []]],extension(314 ^ 6)).
% 0.36/1.37  ncf('1.2.1.1.2',plain,[-(308 ^ [338 ^ []] = 308 ^ [338 ^ []])],extension(2 ^ 6,bind([[_56577], [308 ^ [338 ^ []]]]))).
% 0.36/1.37  ncf('1.2.1.2',plain,[-(in(ordered_pair(306 ^ [338 ^ []], 308 ^ [338 ^ []]), 338 ^ []))],extension(312 ^ 5)).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------