TSTP Solution File: SEU277+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.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 12:02:58 EDT 2023
% Result : Theorem 43.81s 43.43s
% Output : Proof 43.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU277+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.08 % Command : nanocop.sh %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu May 18 13:18:19 EDT 2023
% 0.07/0.27 % CPUTime :
% 43.81/43.43
% 43.81/43.43 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.81/43.43 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.81/43.43 %-----------------------------------------------------
% 43.81/43.43 ncf(matrix, plain, [(342 ^ _86171) ^ [] : [-(relation(338 ^ []))], (344 ^ _86171) ^ [] : [-(function(338 ^ []))], (347 ^ _86171) ^ [_86481] : [360 ^ _86171 : [(365 ^ _86171) ^ [] : [-(345 ^ [_86481] = ordered_pair(362 ^ [_86481], 363 ^ [_86481]))], (367 ^ _86171) ^ [] : [-(in(ordered_pair(apply(338 ^ [], 362 ^ [_86481]), apply(338 ^ [], 363 ^ [_86481])), 337 ^ []))], (369 ^ _86171) ^ [] : [in(345 ^ [_86481], _86481)], (361 ^ _86171) ^ [] : [-(in(345 ^ [_86481], cartesian_product2(336 ^ [], 336 ^ [])))]], 348 ^ _86171 : [(351 ^ _86171) ^ [] : [in(345 ^ [_86481], cartesian_product2(336 ^ [], 336 ^ [])), 354 ^ _86171 : [(355 ^ _86171) ^ [_86833, _86835] : [345 ^ [_86481] = ordered_pair(_86835, _86833), in(ordered_pair(apply(338 ^ [], _86835), apply(338 ^ [], _86833)), 337 ^ [])]]], (349 ^ _86171) ^ [] : [-(in(345 ^ [_86481], _86481))]]], (340 ^ _86171) ^ [] : [-(relation(337 ^ []))], !, (141 ^ _73865) ^ [_78384] : [ordinal(_78384), 144 ^ _73865 : [(147 ^ _73865) ^ [] : [-(epsilon_connected(_78384))], (145 ^ _73865) ^ [] : [-(epsilon_transitive(_78384))]]], (232 ^ _73865) ^ [] : [-(empty(230 ^ []))], (186 ^ _73865) ^ [] : [-(epsilon_connected(180 ^ []))], (173 ^ _73865) ^ [] : [-(empty(165 ^ []))], (255 ^ _73865) ^ [] : [true___, -(true___)], (30 ^ _73865) ^ [_74908, _74910] : [-(epsilon_transitive(_74908)), _74910 = _74908, epsilon_transitive(_74910)], (114 ^ _73865) ^ [_77509, _77511, _77513, _77515] : [-(ordered_pair(_77515, _77511) = ordered_pair(_77513, _77509)), _77515 = _77513, _77511 = _77509], (268 ^ _73865) ^ [_82052, _82054, _82056] : [relation(_82054), relation(_82052), function(_82052), 284 ^ _73865 : [(291 ^ _73865) ^ [] : [-(in(ordered_pair(apply(_82052, 286 ^ [_82052, _82054, _82056]), apply(_82052, 287 ^ [_82052, _82054, _82056])), _82054))], (299 ^ _73865) ^ [] : [-(in(ordered_pair(apply(_82052, 294 ^ [_82052, _82054, _82056]), apply(_82052, 295 ^ [_82052, _82054, _82056])), _82054))], (301 ^ _73865) ^ [] : [282 ^ [_82052, _82054, _82056] = 283 ^ [_82052, _82054, _82056]], (293 ^ _73865) ^ [] : [-(281 ^ [_82052, _82054, _82056] = 283 ^ [_82052, _82054, _82056])], (285 ^ _73865) ^ [] : [-(281 ^ [_82052, _82054, _82056] = 282 ^ [_82052, _82054, _82056])], (289 ^ _73865) ^ [] : [-(282 ^ [_82052, _82054, _82056] = ordered_pair(286 ^ [_82052, _82054, _82056], 287 ^ [_82052, _82054, _82056]))], (297 ^ _73865) ^ [] : [-(283 ^ [_82052, _82054, _82056] = ordered_pair(294 ^ [_82052, _82054, _82056], 295 ^ [_82052, _82054, _82056]))]], 303 ^ _73865 : [(319 ^ _73865) ^ [_84971] : [-(in(_84971, 302 ^ [_82052, _82054, _82056])), 320 ^ _73865 : [(321 ^ _73865) ^ [_85119] : [in(_85119, cartesian_product2(_82056, _82056)), _85119 = _84971, 328 ^ _73865 : [(329 ^ _73865) ^ [_85410, _85412] : [_84971 = ordered_pair(_85412, _85410), in(ordered_pair(apply(_82052, _85412), apply(_82052, _85410)), _82054)]]]]], (304 ^ _73865) ^ [_84162] : [in(_84162, 302 ^ [_82052, _82054, _82056]), 308 ^ _73865 : [(311 ^ _73865) ^ [] : [-(307 ^ [_82052, _82054, _82056, _84162] = _84162)], (315 ^ _73865) ^ [] : [-(_84162 = ordered_pair(312 ^ [_82052, _82054, _82056, _84162], 313 ^ [_82052, _82054, _82056, _84162]))], (317 ^ _73865) ^ [] : [-(in(ordered_pair(apply(_82052, 312 ^ [_82052, _82054, _82056, _84162]), apply(_82052, 313 ^ [_82052, _82054, _82056, _84162])), _82054))], (309 ^ _73865) ^ [] : [-(in(307 ^ [_82052, _82054, _82056, _84162], cartesian_product2(_82056, _82056)))]]]]], (175 ^ _73865) ^ [] : [-(epsilon_transitive(165 ^ []))], (199 ^ _73865) ^ [] : [-(empty(195 ^ []))], (203 ^ _73865) ^ [_80233] : [214 ^ _73865 : [(219 ^ _73865) ^ [] : [-(one_to_one(_80233))], (217 ^ _73865) ^ [] : [-(function(_80233))], (215 ^ _73865) ^ [] : [-(relation(_80233))]], relation(_80233), empty(_80233), function(_80233)], (4 ^ _73865) ^ [_74096, _74098] : [_74098 = _74096, -(_74096 = _74098)], (221 ^ _73865) ^ [_80726] : [empty(_80726), 224 ^ _73865 : [(229 ^ _73865) ^ [] : [-(ordinal(_80726))], (227 ^ _73865) ^ [] : [-(epsilon_connected(_80726))], (225 ^ _73865) ^ [] : [-(epsilon_transitive(_80726))]]], (249 ^ _73865) ^ [] : [true___, -(true___)], (201 ^ _73865) ^ [] : [-(function(195 ^ []))], (197 ^ _73865) ^ [] : [-(relation(195 ^ []))], (104 ^ _73865) ^ [_77150, _77152, _77154, _77156] : [-(cartesian_product2(_77156, _77152) = cartesian_product2(_77154, _77150)), _77156 = _77154, _77152 = _77150], (184 ^ _73865) ^ [] : [-(epsilon_transitive(180 ^ []))], (50 ^ _73865) ^ [_75498, _75500] : [-(ordinal(_75498)), _75500 = _75498, ordinal(_75500)], (60 ^ _73865) ^ [_75793, _75795] : [-(empty(_75793)), _75795 = _75793, empty(_75795)], (262 ^ _73865) ^ [] : [-(relation(260 ^ []))], (164 ^ _73865) ^ [] : [-(ordinal(158 ^ []))], (169 ^ _73865) ^ [] : [-(function(165 ^ []))], (40 ^ _73865) ^ [_75203, _75205] : [-(epsilon_connected(_75203)), _75205 = _75203, epsilon_connected(_75205)], (162 ^ _73865) ^ [] : [-(epsilon_connected(158 ^ []))], (188 ^ _73865) ^ [] : [-(ordinal(180 ^ []))], (179 ^ _73865) ^ [] : [-(ordinal(165 ^ []))], (70 ^ _73865) ^ [_76088, _76090] : [-(relation(_76088)), _76090 = _76088, relation(_76090)], (167 ^ _73865) ^ [] : [-(relation(165 ^ []))], (139 ^ _73865) ^ [] : [-(one_to_one(133 ^ []))], (20 ^ _73865) ^ [_74613, _74615] : [-(one_to_one(_74613)), _74615 = _74613, one_to_one(_74615)], (90 ^ _73865) ^ [_76686, _76688, _76690, _76692] : [-(in(_76690, _76686)), in(_76692, _76688), _76692 = _76690, _76688 = _76686], (243 ^ _73865) ^ [] : [true___, -(true___)], (235 ^ _73865) ^ [] : [empty(233 ^ [])], (124 ^ _73865) ^ [_77848, _77850, _77852, _77854] : [-(apply(_77854, _77850) = apply(_77852, _77848)), _77854 = _77852, _77850 = _77848], (237 ^ _73865) ^ [_81246, _81248] : [in(_81248, _81246), in(_81246, _81248)], (160 ^ _73865) ^ [] : [-(epsilon_transitive(158 ^ []))], (149 ^ _73865) ^ [_78641] : [-(ordinal(_78641)), epsilon_transitive(_78641), epsilon_connected(_78641)], (264 ^ _73865) ^ [] : [-(function(260 ^ []))], (2 ^ _73865) ^ [_73989] : [-(_73989 = _73989)], (177 ^ _73865) ^ [] : [-(epsilon_connected(165 ^ []))], (80 ^ _73865) ^ [_76383, _76385] : [-(function(_76383)), _76385 = _76383, function(_76385)], (182 ^ _73865) ^ [] : [empty(180 ^ [])], (137 ^ _73865) ^ [] : [-(function(133 ^ []))], (171 ^ _73865) ^ [] : [-(one_to_one(165 ^ []))], (190 ^ _73865) ^ [_79838] : [empty(_79838), -(function(_79838))], (10 ^ _73865) ^ [_74300, _74302, _74304] : [-(_74304 = _74300), _74304 = _74302, _74302 = _74300], (266 ^ _73865) ^ [_81947, _81949] : [empty(ordered_pair(_81949, _81947))], (135 ^ _73865) ^ [] : [-(relation(133 ^ []))]], input).
% 43.81/43.43 ncf('1',plain,[365 : -(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])), 349 : -(in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]))],start(347 ^ 0,bind([[_86481], [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.1',plain,[345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 321 : in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], cartesian_product2(336 ^ [], 336 ^ [])), 329 : ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]) = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 329 : in(ordered_pair(apply(338 ^ [], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), apply(338 ^ [], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])), 337 ^ []), 321 : -(in(ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 302 ^ [338 ^ [], 337 ^ [], 336 ^ []])), 319 : relation(337 ^ []), 319 : relation(338 ^ []), 319 : function(338 ^ []), 293 : -(281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(268 ^ 3,bind([[_82052, _82054, _82056, _84971, _85119, _85410, _85412], [338 ^ [], 337 ^ [], 336 ^ [], ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.1',plain,[-(in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], cartesian_product2(336 ^ [], 336 ^ [])))],extension(361 ^ 8)).
% 43.81/43.43 ncf('1.1.2',plain,[-(ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]) = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])), 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]],extension(114 ^ 10,bind([[_77509, _77511, _77513, _77515], [363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.2.1',plain,[-(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]],extension(4 ^ 11,bind([[_74096, _74098], [362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.2.1.1',plain,[-(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])],extension(2 ^ 12,bind([[_73989], [362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.2.2',plain,[-(363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]],extension(4 ^ 11,bind([[_74096, _74098], [363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.2.2.1',plain,[-(363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])],extension(2 ^ 12,bind([[_73989], [363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.3',plain,[-(in(ordered_pair(apply(338 ^ [], 362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), apply(338 ^ [], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])), 337 ^ []))],extension(367 ^ 10)).
% 43.81/43.43 ncf('1.1.4',plain,[in(ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]), -(in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []])), ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]) = 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(90 ^ 6,bind([[_76686, _76688, _76690, _76692], [302 ^ [338 ^ [], 337 ^ [], 336 ^ []], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])]]))).
% 43.81/43.43 ncf('1.1.4.1',plain,[in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(369 ^ 7)).
% 43.81/43.43 ncf('1.1.4.2',plain,[-(ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]) = 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]])],extension(4 ^ 7,bind([[_74096, _74098], [ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.1.4.2.1',plain,[-(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(362 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 363 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]))],reduction('1')).
% 43.81/43.43 ncf('1.1.4.3',plain,[-(302 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 302 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(4 ^ 7,bind([[_74096, _74098], [302 ^ [338 ^ [], 337 ^ [], 336 ^ []], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.1.4.3.1',plain,[-(302 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 302 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(2 ^ 8,bind([[_73989], [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.1.5',plain,[-(relation(337 ^ []))],extension(340 ^ 4)).
% 43.81/43.43 ncf('1.1.6',plain,[-(relation(338 ^ []))],extension(342 ^ 4)).
% 43.81/43.43 ncf('1.1.7',plain,[-(function(338 ^ []))],extension(344 ^ 4)).
% 43.81/43.43 ncf('1.1.8',plain,[281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []], -(282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(10 ^ 6,bind([[_74300, _74302, _74304], [283 ^ [338 ^ [], 337 ^ [], 336 ^ []], 281 ^ [338 ^ [], 337 ^ [], 336 ^ []], 282 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.1.8.1',plain,[282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(301 ^ 7)).
% 43.81/43.43 ncf('1.1.8.2',plain,[-(282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 282 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(4 ^ 7,bind([[_74096, _74098], [282 ^ [338 ^ [], 337 ^ [], 336 ^ []], 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.1.8.2.1',plain,[-(281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 282 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(285 ^ 8)).
% 43.81/43.43 ncf('1.2',plain,[in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 302 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 311 : -(307 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]] = 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]), 304 : relation(337 ^ []), 304 : relation(338 ^ []), 304 : function(338 ^ []), 293 : -(281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(268 ^ 3,bind([[_82052, _82054, _82056, _84162], [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]))).
% 43.81/43.43 ncf('1.2.1',plain,[307 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]] = 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], -(in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], cartesian_product2(336 ^ [], 336 ^ []))), in(307 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]], cartesian_product2(336 ^ [], 336 ^ [])), cartesian_product2(336 ^ [], 336 ^ []) = cartesian_product2(336 ^ [], 336 ^ [])],extension(90 ^ 8,bind([[_76686, _76688, _76690, _76692], [cartesian_product2(336 ^ [], 336 ^ []), cartesian_product2(336 ^ [], 336 ^ []), 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], 307 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]]))).
% 43.81/43.43 ncf('1.2.1.1',plain,[in(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]], cartesian_product2(336 ^ [], 336 ^ [])), 355 : 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(312 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]], 313 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]), 355 : in(ordered_pair(apply(338 ^ [], 312 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]), apply(338 ^ [], 313 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]])), 337 ^ [])],extension(351 ^ 9,bind([[_86833, _86835], [313 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]], 312 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]]]))).
% 43.81/43.43 ncf('1.2.1.1.1',plain,[-(345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]] = ordered_pair(312 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]], 313 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))],extension(315 ^ 12)).
% 43.81/43.43 ncf('1.2.1.1.2',plain,[-(in(ordered_pair(apply(338 ^ [], 312 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]), apply(338 ^ [], 313 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]])), 337 ^ []))],extension(317 ^ 12)).
% 43.81/43.43 ncf('1.2.1.2',plain,[-(in(307 ^ [338 ^ [], 337 ^ [], 336 ^ [], 345 ^ [302 ^ [338 ^ [], 337 ^ [], 336 ^ []]]], cartesian_product2(336 ^ [], 336 ^ [])))],extension(309 ^ 9)).
% 43.81/43.43 ncf('1.2.1.3',plain,[-(cartesian_product2(336 ^ [], 336 ^ []) = cartesian_product2(336 ^ [], 336 ^ [])), 336 ^ [] = 336 ^ [], 336 ^ [] = 336 ^ []],extension(104 ^ 9,bind([[_77150, _77152, _77154, _77156], [336 ^ [], 336 ^ [], 336 ^ [], 336 ^ []]]))).
% 43.81/43.43 ncf('1.2.1.3.1',plain,[-(336 ^ [] = 336 ^ [])],extension(2 ^ 10,bind([[_73989], [336 ^ []]]))).
% 43.81/43.43 ncf('1.2.1.3.2',plain,[-(336 ^ [] = 336 ^ [])],lemmata('[1, 2, 1].x')).
% 43.81/43.43 ncf('1.2.2',plain,[-(relation(337 ^ []))],extension(340 ^ 4)).
% 43.81/43.43 ncf('1.2.3',plain,[-(relation(338 ^ []))],extension(342 ^ 4)).
% 43.81/43.43 ncf('1.2.4',plain,[-(function(338 ^ []))],extension(344 ^ 4)).
% 43.81/43.43 ncf('1.2.5',plain,[281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []], -(282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(10 ^ 6,bind([[_74300, _74302, _74304], [283 ^ [338 ^ [], 337 ^ [], 336 ^ []], 281 ^ [338 ^ [], 337 ^ [], 336 ^ []], 282 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.2.5.1',plain,[282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 283 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(301 ^ 7)).
% 43.81/43.43 ncf('1.2.5.2',plain,[-(282 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]), 281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 282 ^ [338 ^ [], 337 ^ [], 336 ^ []]],extension(4 ^ 7,bind([[_74096, _74098], [282 ^ [338 ^ [], 337 ^ [], 336 ^ []], 281 ^ [338 ^ [], 337 ^ [], 336 ^ []]]]))).
% 43.81/43.43 ncf('1.2.5.2.1',plain,[-(281 ^ [338 ^ [], 337 ^ [], 336 ^ []] = 282 ^ [338 ^ [], 337 ^ [], 336 ^ []])],extension(285 ^ 8)).
% 43.81/43.43 %-----------------------------------------------------
% 43.81/43.43 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------