TSTP Solution File: SEU215+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 12:02:42 EDT 2023
% Result : Theorem 0.34s 1.39s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU215+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 18 13:21:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.34/1.39
% 0.34/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 ncf(matrix, plain, [(459 ^ _67575) ^ [] : [-(relation(457 ^ []))], (461 ^ _67575) ^ [] : [-(function(457 ^ []))], (464 ^ _67575) ^ [] : [-(relation(462 ^ []))], (466 ^ _67575) ^ [] : [-(function(462 ^ []))], (468 ^ _67575) ^ [] : [-(in(456 ^ [], relation_dom(457 ^ [])))], (470 ^ _67575) ^ [] : [apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))], (88 ^ _67575) ^ [_70435, _70437, _70439, _70441] : [-(ordered_pair(_70441, _70437) = ordered_pair(_70439, _70435)), _70441 = _70439, _70437 = _70435], (98 ^ _67575) ^ [_70766, _70768] : [_70768 = _70766, -(singleton(_70768) = singleton(_70766))], (104 ^ _67575) ^ [_71012, _71014, _71016, _71018] : [-(unordered_pair(_71018, _71014) = unordered_pair(_71016, _71012)), _71018 = _71016, _71014 = _71012], (114 ^ _67575) ^ [_71343, _71345] : [_71345 = _71343, -(relation_dom(_71345) = relation_dom(_71343))], (120 ^ _67575) ^ [_71589, _71591, _71593, _71595] : [-(relation_composition(_71595, _71591) = relation_composition(_71593, _71589)), _71595 = _71593, _71591 = _71589], (130 ^ _67575) ^ [_71928, _71930, _71932, _71934] : [-(apply(_71934, _71930) = apply(_71932, _71928)), _71934 = _71932, _71930 = _71928], (2 ^ _67575) ^ [_67719] : [-(_67719 = _67719)], (4 ^ _67575) ^ [_67826, _67828] : [_67828 = _67826, -(_67826 = _67828)], (10 ^ _67575) ^ [_68030, _68032, _68034] : [-(_68034 = _68030), _68034 = _68032, _68032 = _68030], (20 ^ _67575) ^ [_68343, _68345] : [-(relation_empty_yielding(_68343)), _68345 = _68343, relation_empty_yielding(_68345)], (30 ^ _67575) ^ [_68666, _68668, _68670, _68672] : [-(element(_68670, _68666)), element(_68672, _68668), _68672 = _68670, _68668 = _68666], (44 ^ _67575) ^ [_69082, _69084] : [-(empty(_69082)), _69084 = _69082, empty(_69084)], (54 ^ _67575) ^ [_69377, _69379] : [-(relation(_69377)), _69379 = _69377, relation(_69379)], (64 ^ _67575) ^ [_69672, _69674] : [-(function(_69672)), _69674 = _69672, function(_69674)], (74 ^ _67575) ^ [_69975, _69977, _69979, _69981] : [-(in(_69979, _69975)), in(_69981, _69977), _69981 = _69979, _69977 = _69975], (140 ^ _67575) ^ [_72281, _72283] : [in(_72283, _72281), in(_72281, _72283)], (146 ^ _67575) ^ [_72478] : [empty(_72478), -(function(_72478))], (152 ^ _67575) ^ [_72664] : [empty(_72664), -(relation(_72664))], (158 ^ _67575) ^ [_72849, _72851] : [-(unordered_pair(_72851, _72849) = unordered_pair(_72849, _72851))], (160 ^ _67575) ^ [_72950] : [relation(_72950), function(_72950), 167 ^ _67575 : [(168 ^ _67575) ^ [_73242, _73244] : [in(_73244, relation_dom(_72950)), 171 ^ _67575 : [(172 ^ _67575) ^ [] : [_73242 = apply(_72950, _73244), -(in(ordered_pair(_73244, _73242), _72950))], (178 ^ _67575) ^ [] : [in(ordered_pair(_73244, _73242), _72950), -(_73242 = apply(_72950, _73244))]]], (184 ^ _67575) ^ [_73694, _73696] : [-(in(_73696, relation_dom(_72950))), 187 ^ _67575 : [(188 ^ _67575) ^ [] : [_73694 = apply(_72950, _73696), -(_73694 = empty_set)], (194 ^ _67575) ^ [] : [_73694 = empty_set, -(_73694 = apply(_72950, _73696))]]]]], (200 ^ _67575) ^ [_74182, _74184] : [-(ordered_pair(_74184, _74182) = unordered_pair(unordered_pair(_74184, _74182), singleton(_74184)))], (202 ^ _67575) ^ [] : [true___, -(true___)], (208 ^ _67575) ^ [] : [true___, -(true___)], (214 ^ _67575) ^ [] : [true___, -(true___)], (220 ^ _67575) ^ [] : [true___, -(true___)], (226 ^ _67575) ^ [] : [true___, -(true___)], (232 ^ _67575) ^ [] : [true___, -(true___)], (238 ^ _67575) ^ [_75016, _75018] : [-(relation(relation_composition(_75018, _75016))), relation(_75018), relation(_75016)], (248 ^ _67575) ^ [] : [true___, -(true___)], (255 ^ _67575) ^ [_75444] : [-(element(253 ^ [_75444], _75444))], (257 ^ _67575) ^ [_75556, _75558] : [264 ^ _67575 : [(265 ^ _67575) ^ [] : [-(empty(relation_composition(_75556, _75558)))], (267 ^ _67575) ^ [] : [-(relation(relation_composition(_75556, _75558)))]], empty(_75558), relation(_75556)], (269 ^ _67575) ^ [] : [-(empty(empty_set))], (271 ^ _67575) ^ [] : [-(relation(empty_set))], (273 ^ _67575) ^ [] : [-(relation_empty_yielding(empty_set))], (275 ^ _67575) ^ [_76097, _76099] : [290 ^ _67575 : [(291 ^ _67575) ^ [] : [-(relation(relation_composition(_76099, _76097)))], (293 ^ _67575) ^ [] : [-(function(relation_composition(_76099, _76097)))]], relation(_76099), function(_76099), relation(_76097), function(_76097)], (295 ^ _67575) ^ [] : [-(empty(empty_set))], (297 ^ _67575) ^ [_76686, _76688] : [empty(ordered_pair(_76688, _76686))], (299 ^ _67575) ^ [_76767] : [empty(singleton(_76767))], (301 ^ _67575) ^ [_76859, _76861] : [empty(unordered_pair(_76861, _76859))], (303 ^ _67575) ^ [] : [-(empty(empty_set))], (305 ^ _67575) ^ [] : [-(relation(empty_set))], (307 ^ _67575) ^ [_77064] : [empty(relation_dom(_77064)), -(empty(_77064)), relation(_77064)], (317 ^ _67575) ^ [_77341] : [empty(_77341), 320 ^ _67575 : [(321 ^ _67575) ^ [] : [-(empty(relation_dom(_77341)))], (323 ^ _67575) ^ [] : [-(relation(relation_dom(_77341)))]]], (325 ^ _67575) ^ [_77620, _77622] : [332 ^ _67575 : [(333 ^ _67575) ^ [] : [-(empty(relation_composition(_77622, _77620)))], (335 ^ _67575) ^ [] : [-(relation(relation_composition(_77622, _77620)))]], empty(_77622), relation(_77620)], (338 ^ _67575) ^ [] : [-(relation(336 ^ []))], (340 ^ _67575) ^ [] : [-(function(336 ^ []))], (343 ^ _67575) ^ [] : [-(empty(341 ^ []))], (345 ^ _67575) ^ [] : [-(relation(341 ^ []))], (348 ^ _67575) ^ [] : [-(empty(346 ^ []))], (351 ^ _67575) ^ [] : [empty(349 ^ [])], (353 ^ _67575) ^ [] : [-(relation(349 ^ []))], (356 ^ _67575) ^ [] : [empty(354 ^ [])], (359 ^ _67575) ^ [] : [-(relation(357 ^ []))], (361 ^ _67575) ^ [] : [-(relation_empty_yielding(357 ^ []))], (363 ^ _67575) ^ [_78774, _78776] : [in(_78776, _78774), -(element(_78776, _78774))], (369 ^ _67575) ^ [_78984, _78986] : [relation(_78984), function(_78984), 376 ^ _67575 : [(377 ^ _67575) ^ [_79234] : [relation(_79234), function(_79234), 384 ^ _67575 : [(385 ^ _67575) ^ [] : [in(_78986, relation_dom(relation_composition(_79234, _78984))), 388 ^ _67575 : [(389 ^ _67575) ^ [] : [-(in(_78986, relation_dom(_79234)))], (391 ^ _67575) ^ [] : [-(in(apply(_79234, _78986), relation_dom(_78984)))]]], (393 ^ _67575) ^ [] : [-(in(_78986, relation_dom(relation_composition(_79234, _78984)))), in(_78986, relation_dom(_79234)), in(apply(_79234, _78986), relation_dom(_78984))]]]]], (403 ^ _67575) ^ [_80012, _80014] : [relation(_80012), function(_80012), 410 ^ _67575 : [(411 ^ _67575) ^ [_80261] : [relation(_80261), function(_80261), in(_80014, relation_dom(relation_composition(_80261, _80012))), -(apply(relation_composition(_80261, _80012), _80014) = apply(_80012, apply(_80261, _80014)))]]], (425 ^ _67575) ^ [_80706, _80708] : [element(_80708, _80706), -(empty(_80706)), -(in(_80708, _80706))], (435 ^ _67575) ^ [_80990] : [empty(_80990), -(_80990 = empty_set)], (441 ^ _67575) ^ [_81192, _81194] : [in(_81194, _81192), empty(_81192)], (447 ^ _67575) ^ [_81379, _81381] : [empty(_81381), -(_81381 = _81379), empty(_81379)]], input).
% 0.34/1.39 ncf('1',plain,[apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))],start(470 ^ 0)).
% 0.34/1.39 ncf('1.1',plain,[-(apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))), 194 : apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = empty_set, 194 : -(in(apply(457 ^ [], 456 ^ []), relation_dom(462 ^ []))), 184 : relation(462 ^ []), 184 : function(462 ^ [])],extension(160 ^ 1,bind([[_72950, _73694, _73696], [462 ^ [], apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []), apply(457 ^ [], 456 ^ [])]]))).
% 0.34/1.39 ncf('1.1.1',plain,[-(apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = empty_set), 188 : apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []), 188 : -(in(456 ^ [], relation_dom(relation_composition(457 ^ [], 462 ^ [])))), 184 : relation(relation_composition(457 ^ [], 462 ^ [])), 184 : function(relation_composition(457 ^ [], 462 ^ []))],extension(160 ^ 6,bind([[_72950, _73694, _73696], [relation_composition(457 ^ [], 462 ^ []), apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []), 456 ^ []]]))).
% 0.34/1.39 ncf('1.1.1.1',plain,[-(apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []))],extension(2 ^ 11,bind([[_67719], [apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ [])]]))).
% 0.34/1.39 ncf('1.1.1.2',plain,[in(456 ^ [], relation_dom(relation_composition(457 ^ [], 462 ^ []))), 411 : relation(457 ^ []), 411 : function(457 ^ []), 411 : -(apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))), 411 : relation(462 ^ []), 411 : function(462 ^ [])],extension(403 ^ 9,bind([[_80012, _80014, _80261], [462 ^ [], 456 ^ [], 457 ^ []]]))).
% 0.34/1.39 ncf('1.1.1.2.1',plain,[-(relation(457 ^ []))],extension(459 ^ 12)).
% 0.34/1.39 ncf('1.1.1.2.2',plain,[-(function(457 ^ []))],extension(461 ^ 12)).
% 0.34/1.39 ncf('1.1.1.2.3',plain,[apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))],reduction('1')).
% 0.34/1.39 ncf('1.1.1.2.4',plain,[-(relation(462 ^ []))],extension(464 ^ 10)).
% 0.34/1.39 ncf('1.1.1.2.5',plain,[-(function(462 ^ []))],extension(466 ^ 10)).
% 0.34/1.39 ncf('1.1.1.3',plain,[-(relation(relation_composition(457 ^ [], 462 ^ []))), relation(457 ^ []), relation(462 ^ [])],extension(238 ^ 7,bind([[_75016, _75018], [462 ^ [], 457 ^ []]]))).
% 0.34/1.39 ncf('1.1.1.3.1',plain,[-(relation(457 ^ []))],extension(459 ^ 8)).
% 0.34/1.39 ncf('1.1.1.3.2',plain,[-(relation(462 ^ []))],extension(464 ^ 8)).
% 0.34/1.39 ncf('1.1.1.4',plain,[-(function(relation_composition(457 ^ [], 462 ^ []))), relation(457 ^ []), function(457 ^ []), relation(462 ^ []), function(462 ^ [])],extension(275 ^ 7,bind([[_76097, _76099], [462 ^ [], 457 ^ []]]))).
% 0.34/1.39 ncf('1.1.1.4.1',plain,[-(relation(457 ^ []))],extension(459 ^ 8)).
% 0.34/1.39 ncf('1.1.1.4.2',plain,[-(function(457 ^ []))],extension(461 ^ 8)).
% 0.34/1.39 ncf('1.1.1.4.3',plain,[-(relation(462 ^ []))],extension(464 ^ 8)).
% 0.34/1.39 ncf('1.1.1.4.4',plain,[-(function(462 ^ []))],extension(466 ^ 8)).
% 0.34/1.39 ncf('1.1.2',plain,[in(apply(457 ^ [], 456 ^ []), relation_dom(462 ^ [])), 393 : -(in(456 ^ [], relation_dom(relation_composition(457 ^ [], 462 ^ [])))), 393 : in(456 ^ [], relation_dom(457 ^ [])), 393 : relation(457 ^ []), 393 : function(457 ^ []), 377 : relation(462 ^ []), 377 : function(462 ^ [])],extension(369 ^ 4,bind([[_78984, _78986, _79234], [462 ^ [], 456 ^ [], 457 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.1',plain,[in(456 ^ [], relation_dom(relation_composition(457 ^ [], 462 ^ []))), 411 : relation(457 ^ []), 411 : function(457 ^ []), 411 : -(apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))), 411 : relation(462 ^ []), 411 : function(462 ^ [])],extension(403 ^ 9,bind([[_80012, _80014, _80261], [462 ^ [], 456 ^ [], 457 ^ []]]))).
% 0.34/1.39 ncf('1.1.2.1.1',plain,[-(relation(457 ^ []))],extension(459 ^ 12)).
% 0.34/1.39 ncf('1.1.2.1.2',plain,[-(function(457 ^ []))],extension(461 ^ 12)).
% 0.34/1.39 ncf('1.1.2.1.3',plain,[apply(relation_composition(457 ^ [], 462 ^ []), 456 ^ []) = apply(462 ^ [], apply(457 ^ [], 456 ^ []))],reduction('1')).
% 0.34/1.39 ncf('1.1.2.1.4',plain,[-(relation(462 ^ []))],extension(464 ^ 10)).
% 0.34/1.39 ncf('1.1.2.1.5',plain,[-(function(462 ^ []))],extension(466 ^ 10)).
% 0.34/1.39 ncf('1.1.2.2',plain,[-(in(456 ^ [], relation_dom(457 ^ [])))],extension(468 ^ 9)).
% 0.34/1.39 ncf('1.1.2.3',plain,[-(relation(457 ^ []))],extension(459 ^ 7)).
% 0.34/1.39 ncf('1.1.2.4',plain,[-(function(457 ^ []))],extension(461 ^ 7)).
% 0.34/1.39 ncf('1.1.2.5',plain,[-(relation(462 ^ []))],extension(464 ^ 5)).
% 0.34/1.39 ncf('1.1.2.6',plain,[-(function(462 ^ []))],extension(466 ^ 5)).
% 0.34/1.39 ncf('1.1.3',plain,[-(relation(462 ^ []))],extension(464 ^ 2)).
% 0.34/1.39 ncf('1.1.4',plain,[-(function(462 ^ []))],extension(466 ^ 2)).
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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