TSTP Solution File: SEU364+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU364+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 12:03:17 EDT 2023
% Result : Theorem 48.68s 47.07s
% Output : Proof 48.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU364+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 12:59:43 EDT 2023
% 0.11/0.33 % CPUTime :
% 48.68/47.07
% 48.68/47.07 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 48.68/47.07 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.68/47.07 %-----------------------------------------------------
% 48.68/47.07 ncf(matrix, plain, [(375 ^ _103006) ^ [] : [-(rel_str(367 ^ []))], (381 ^ _103006) ^ [] : [-(element(369 ^ [], powerset(368 ^ [])))], (384 ^ _103006) ^ [_103481] : [405 ^ _103006 : [(409 ^ _103006) ^ [] : [-(407 ^ [_103481] = 382 ^ [_103481])], (406 ^ _103006) ^ [] : [-(in(382 ^ [_103481], powerset(369 ^ [])))], (418 ^ _103006) ^ [] : [in(382 ^ [_103481], _103481)], (414 ^ _103006) ^ [] : [-(in(410 ^ [_103481], 368 ^ []))], (416 ^ _103006) ^ [] : [-(relstr_set_smaller(367 ^ [], 407 ^ [_103481], 410 ^ [_103481]))], (412 ^ _103006) ^ [] : [-(element(410 ^ [_103481], the_carrier(367 ^ [])))]], 385 ^ _103006 : [(388 ^ _103006) ^ [] : [in(382 ^ [_103481], powerset(369 ^ [])), 391 ^ _103006 : [(392 ^ _103006) ^ [_103821] : [_103821 = 382 ^ [_103481], 395 ^ _103006 : [(396 ^ _103006) ^ [_103977] : [element(_103977, the_carrier(367 ^ [])), in(_103977, 368 ^ []), relstr_set_smaller(367 ^ [], _103821, _103977)]]]]], (386 ^ _103006) ^ [] : [-(in(382 ^ [_103481], _103481))]]], (377 ^ _103006) ^ [] : [-(element(368 ^ [], powerset(the_carrier(367 ^ []))))], (371 ^ _103006) ^ [] : [empty_carrier(367 ^ [])], (373 ^ _103006) ^ [] : [-(transitive_relstr(367 ^ []))], (379 ^ _103006) ^ [] : [-(finite(369 ^ []))], !, (94 ^ _89459) ^ [_92449, _92451, _92453, _92455] : [-(in(_92453, _92449)), in(_92455, _92451), _92455 = _92453, _92451 = _92449], (159 ^ _89459) ^ [_94430] : [167 ^ _89459 : [(170 ^ _89459) ^ [] : [empty(166 ^ [_94430])], (168 ^ _89459) ^ [] : [-(element(166 ^ [_94430], powerset(the_carrier(_94430))))]], -(empty_carrier(_94430)), one_sorted_str(_94430)], (30 ^ _89459) ^ [_90502, _90504] : [-(empty(_90502)), _90504 = _90502, empty(_90504)], (215 ^ _89459) ^ [_96394] : [-(element(213 ^ [_96394], powerset(_96394)))], (255 ^ _89459) ^ [_97477] : [finite(_97477), 258 ^ _89459 : [(259 ^ _89459) ^ [_97609] : [element(_97609, powerset(_97477)), -(finite(_97609))]]], (194 ^ _89459) ^ [_95599] : [-(empty(_95599)), 198 ^ _89459 : [(203 ^ _89459) ^ [] : [-(finite(197 ^ [_95599]))], (201 ^ _89459) ^ [] : [empty(197 ^ [_95599])], (199 ^ _89459) ^ [] : [-(element(197 ^ [_95599], powerset(_95599)))]]], (147 ^ _89459) ^ [] : [empty_carrier(143 ^ [])], (175 ^ _89459) ^ [] : [-(finite(171 ^ []))], (225 ^ _89459) ^ [_96737, _96739] : [in(_96739, _96737), in(_96737, _96739)], (249 ^ _89459) ^ [] : [true___, -(true___)], (20 ^ _89459) ^ [_90207, _90209] : [-(one_sorted_str(_90207)), _90209 = _90207, one_sorted_str(_90209)], (70 ^ _89459) ^ [_91682, _91684] : [-(finite(_91682)), _91684 = _91682, finite(_91684)], (145 ^ _89459) ^ [] : [-(one_sorted_str(143 ^ []))], (217 ^ _89459) ^ [_96445] : [-(empty(213 ^ [_96445]))], (243 ^ _89459) ^ [] : [true___, -(true___)], (177 ^ _89459) ^ [_95001] : [empty(_95001), -(finite(_95001))], (205 ^ _89459) ^ [_96011] : [-(empty(_96011)), 209 ^ _89459 : [(212 ^ _89459) ^ [] : [empty(208 ^ [_96011])], (210 ^ _89459) ^ [] : [-(element(208 ^ [_96011], powerset(_96011)))]]], (231 ^ _89459) ^ [] : [true___, -(true___)], (4 ^ _89459) ^ [_89690, _89692] : [_89692 = _89690, -(_89690 = _89692)], (138 ^ _89459) ^ [] : [true___, -(true___)], (149 ^ _89459) ^ [_94153] : [empty(the_carrier(_94153)), -(empty_carrier(_94153)), one_sorted_str(_94153)], (265 ^ _89459) ^ [_97798] : [empty(powerset(_97798))], (40 ^ _89459) ^ [_90797, _90799] : [-(empty_carrier(_90797)), _90799 = _90797, empty_carrier(_90799)], (237 ^ _89459) ^ [_97053] : [rel_str(_97053), -(one_sorted_str(_97053))], (126 ^ _89459) ^ [_93476, _93478] : [_93478 = _93476, -(powerset(_93478) = powerset(_93476))], (173 ^ _89459) ^ [] : [empty(171 ^ [])], (2 ^ _89459) ^ [_89583] : [-(_89583 = _89583)], (50 ^ _89459) ^ [_91092, _91094] : [-(transitive_relstr(_91092)), _91094 = _91092, transitive_relstr(_91094)], (132 ^ _89459) ^ [_93674, _93676] : [_93676 = _93674, -(the_carrier(_93676) = the_carrier(_93674))], (220 ^ _89459) ^ [] : [-(empty(218 ^ []))], (60 ^ _89459) ^ [_91387, _91389] : [-(rel_str(_91387)), _91389 = _91387, rel_str(_91389)], (183 ^ _89459) ^ [_95187] : [-(empty(_95187)), 187 ^ _89459 : [(192 ^ _89459) ^ [] : [-(finite(186 ^ [_95187]))], (190 ^ _89459) ^ [] : [empty(186 ^ [_95187])], (188 ^ _89459) ^ [] : [-(element(186 ^ [_95187], powerset(_95187)))]]], (80 ^ _89459) ^ [_92005, _92007, _92009, _92011] : [-(element(_92009, _92005)), element(_92011, _92007), _92011 = _92009, _92007 = _92005], (10 ^ _89459) ^ [_89894, _89896, _89898] : [-(_89898 = _89894), _89898 = _89896, _89896 = _89894], (223 ^ _89459) ^ [] : [empty(221 ^ [])], (267 ^ _89459) ^ [_97900, _97902, _97904] : [-(empty_carrier(_97904)), transitive_relstr(_97904), rel_str(_97904), element(_97902, powerset(the_carrier(_97904))), finite(_97900), element(_97900, powerset(_97902)), 295 ^ _89459 : [(308 ^ _89459) ^ [] : [-(292 ^ [_97900, _97902, _97904] = 294 ^ [_97900, _97902, _97904])], (318 ^ _89459) ^ [] : [-(relstr_set_smaller(_97904, 309 ^ [_97900, _97902, _97904], 312 ^ [_97900, _97902, _97904]))], (306 ^ _89459) ^ [] : [-(relstr_set_smaller(_97904, 297 ^ [_97900, _97902, _97904], 300 ^ [_97900, _97902, _97904]))], (311 ^ _89459) ^ [] : [-(309 ^ [_97900, _97902, _97904] = 294 ^ [_97900, _97902, _97904])], (296 ^ _89459) ^ [] : [-(292 ^ [_97900, _97902, _97904] = 293 ^ [_97900, _97902, _97904])], (299 ^ _89459) ^ [] : [-(297 ^ [_97900, _97902, _97904] = 293 ^ [_97900, _97902, _97904])], (302 ^ _89459) ^ [] : [-(element(300 ^ [_97900, _97902, _97904], the_carrier(_97904)))], (304 ^ _89459) ^ [] : [-(in(300 ^ [_97900, _97902, _97904], _97902))], (314 ^ _89459) ^ [] : [-(element(312 ^ [_97900, _97902, _97904], the_carrier(_97904)))], (316 ^ _89459) ^ [] : [-(in(312 ^ [_97900, _97902, _97904], _97902))], (320 ^ _89459) ^ [] : [293 ^ [_97900, _97902, _97904] = 294 ^ [_97900, _97902, _97904]]], 322 ^ _89459 : [(342 ^ _89459) ^ [_101533] : [-(in(_101533, 321 ^ [_97900, _97902, _97904])), 343 ^ _89459 : [(344 ^ _89459) ^ [_101683] : [in(_101683, powerset(_97900)), _101683 = _101533, 351 ^ _89459 : [(352 ^ _89459) ^ [_101961] : [_101961 = _101533, 355 ^ _89459 : [(356 ^ _89459) ^ [_102133] : [element(_102133, the_carrier(_97904)), in(_102133, _97902), relstr_set_smaller(_97904, _101961, _102133)]]]]]]], (323 ^ _89459) ^ [_100586] : [in(_100586, 321 ^ [_97900, _97902, _97904]), 327 ^ _89459 : [(330 ^ _89459) ^ [] : [-(326 ^ [_97900, _97902, _97904, _100586] = _100586)], (328 ^ _89459) ^ [] : [-(in(326 ^ [_97900, _97902, _97904, _100586], powerset(_97900)))], (340 ^ _89459) ^ [] : [-(relstr_set_smaller(_97904, 331 ^ [_97900, _97902, _97904, _100586], 334 ^ [_97900, _97902, _97904, _100586]))], (336 ^ _89459) ^ [] : [-(element(334 ^ [_97900, _97902, _97904, _100586], the_carrier(_97904)))], (338 ^ _89459) ^ [] : [-(in(334 ^ [_97900, _97902, _97904, _100586], _97902))], (333 ^ _89459) ^ [] : [-(331 ^ [_97900, _97902, _97904, _100586] = _100586)]]]]], (108 ^ _89459) ^ [_92901, _92903, _92905, _92907, _92909, _92911] : [-(relstr_set_smaller(_92909, _92905, _92901)), relstr_set_smaller(_92911, _92907, _92903), _92911 = _92909, _92907 = _92905, _92903 = _92901]], input).
% 48.68/47.07 ncf('1',plain,[-(rel_str(367 ^ []))],start(375 ^ 0)).
% 48.68/47.07 ncf('1.1',plain,[rel_str(367 ^ []), -(empty_carrier(367 ^ [])), transitive_relstr(367 ^ []), element(368 ^ [], powerset(the_carrier(367 ^ []))), finite(369 ^ []), element(369 ^ [], powerset(368 ^ [])), 308 : -(292 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 294 ^ [369 ^ [], 368 ^ [], 367 ^ []]), 323 : in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []]), 328 : -(in(326 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], powerset(369 ^ [])))],extension(267 ^ 1,bind([[_97900, _97902, _97904, _100586], [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.1',plain,[empty_carrier(367 ^ [])],extension(371 ^ 2)).
% 48.68/47.07 ncf('1.1.2',plain,[-(transitive_relstr(367 ^ []))],extension(373 ^ 2)).
% 48.68/47.07 ncf('1.1.3',plain,[-(element(368 ^ [], powerset(the_carrier(367 ^ []))))],extension(377 ^ 2)).
% 48.68/47.07 ncf('1.1.4',plain,[-(finite(369 ^ []))],extension(379 ^ 2)).
% 48.68/47.07 ncf('1.1.5',plain,[-(element(369 ^ [], powerset(368 ^ [])))],extension(381 ^ 2)).
% 48.68/47.07 ncf('1.1.6',plain,[292 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 294 ^ [369 ^ [], 368 ^ [], 367 ^ []], -(294 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 292 ^ [369 ^ [], 368 ^ [], 367 ^ []])],extension(4 ^ 4,bind([[_89690, _89692], [294 ^ [369 ^ [], 368 ^ [], 367 ^ []], 292 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]))).
% 48.68/47.07 ncf('1.1.6.1',plain,[294 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 292 ^ [369 ^ [], 368 ^ [], 367 ^ []], -(294 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 293 ^ [369 ^ [], 368 ^ [], 367 ^ []]), 292 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 293 ^ [369 ^ [], 368 ^ [], 367 ^ []]],extension(10 ^ 5,bind([[_89894, _89896, _89898], [293 ^ [369 ^ [], 368 ^ [], 367 ^ []], 292 ^ [369 ^ [], 368 ^ [], 367 ^ []], 294 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]))).
% 48.68/47.07 ncf('1.1.6.1.1',plain,[294 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 293 ^ [369 ^ [], 368 ^ [], 367 ^ []], -(293 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 294 ^ [369 ^ [], 368 ^ [], 367 ^ []])],extension(4 ^ 6,bind([[_89690, _89692], [293 ^ [369 ^ [], 368 ^ [], 367 ^ []], 294 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]))).
% 48.68/47.07 ncf('1.1.6.1.1.1',plain,[293 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 294 ^ [369 ^ [], 368 ^ [], 367 ^ []]],extension(320 ^ 7)).
% 48.68/47.07 ncf('1.1.6.1.2',plain,[-(292 ^ [369 ^ [], 368 ^ [], 367 ^ []] = 293 ^ [369 ^ [], 368 ^ [], 367 ^ []])],extension(296 ^ 6)).
% 48.68/47.07 ncf('1.1.7',plain,[-(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []])), 409 : -(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(384 ^ 4,bind([[_103481], [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]))).
% 48.68/47.07 ncf('1.1.7.1',plain,[407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 344 : in(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])), 352 : 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 356 : element(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], the_carrier(367 ^ [])), 356 : in(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 368 ^ []), 356 : relstr_set_smaller(367 ^ [], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]), 344 : -(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []]))],extension(342 ^ 7,bind([[_101533, _101683, _101961, _102133], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.7.1.1',plain,[-(in(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ []))), in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])), 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ []) = powerset(369 ^ [])],extension(94 ^ 10,bind([[_92449, _92451, _92453, _92455], [powerset(369 ^ []), powerset(369 ^ []), 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.7.1.1.1',plain,[-(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])))],extension(406 ^ 11)).
% 48.68/47.07 ncf('1.1.7.1.1.2',plain,[-(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]), 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]],extension(4 ^ 11,bind([[_89690, _89692], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.7.1.1.2.1',plain,[-(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],reduction('1.1.7')).
% 48.68/47.07 ncf('1.1.7.1.1.3',plain,[-(powerset(369 ^ []) = powerset(369 ^ []))],extension(2 ^ 11,bind([[_89583], [powerset(369 ^ [])]]))).
% 48.68/47.07 ncf('1.1.7.1.2',plain,[-(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],reduction('1.1.7')).
% 48.68/47.07 ncf('1.1.7.1.3',plain,[-(element(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], the_carrier(367 ^ [])))],extension(412 ^ 14)).
% 48.68/47.07 ncf('1.1.7.1.4',plain,[-(in(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 368 ^ []))],extension(414 ^ 14)).
% 48.68/47.07 ncf('1.1.7.1.5',plain,[-(relstr_set_smaller(367 ^ [], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]))],extension(416 ^ 14)).
% 48.68/47.07 ncf('1.1.7.1.6',plain,[in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []])],reduction('1.1')).
% 48.68/47.07 ncf('1.1.8',plain,[in(326 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], powerset(369 ^ [])), -(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ []))), 326 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ []) = powerset(369 ^ [])],extension(94 ^ 6,bind([[_92449, _92451, _92453, _92455], [powerset(369 ^ []), powerset(369 ^ []), 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 326 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]]))).
% 48.68/47.07 ncf('1.1.8.1',plain,[in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])), 392 : 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 396 : element(334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], the_carrier(367 ^ [])), 396 : in(334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 368 ^ []), 396 : relstr_set_smaller(367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]), 409 : -(407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(384 ^ 7,bind([[_103481, _103821, _103977], [321 ^ [369 ^ [], 368 ^ [], 367 ^ []], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]]))).
% 48.68/47.07 ncf('1.1.8.1.1',plain,[-(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]), 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]],extension(4 ^ 12,bind([[_89690, _89692], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.8.1.1.1',plain,[-(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(2 ^ 13,bind([[_89583], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.8.1.2',plain,[-(element(334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], the_carrier(367 ^ [])))],extension(336 ^ 14)).
% 48.68/47.07 ncf('1.1.8.1.3',plain,[-(in(334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 368 ^ []))],extension(338 ^ 14)).
% 48.68/47.07 ncf('1.1.8.1.4',plain,[-(relstr_set_smaller(367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]])), relstr_set_smaller(367 ^ [], 331 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]), 367 ^ [] = 367 ^ [], 331 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]],extension(108 ^ 14,bind([[_92901, _92903, _92905, _92907, _92909, _92911], [334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 331 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 367 ^ [], 367 ^ []]]))).
% 48.68/47.07 ncf('1.1.8.1.4.1',plain,[-(relstr_set_smaller(367 ^ [], 331 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]], 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]))],extension(340 ^ 15)).
% 48.68/47.07 ncf('1.1.8.1.4.2',plain,[-(367 ^ [] = 367 ^ [])],extension(2 ^ 15,bind([[_89583], [367 ^ []]]))).
% 48.68/47.07 ncf('1.1.8.1.4.3',plain,[-(331 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(333 ^ 15)).
% 48.68/47.07 ncf('1.1.8.1.4.4',plain,[-(334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]])],extension(2 ^ 15,bind([[_89583], [334 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]]))).
% 48.68/47.07 ncf('1.1.8.1.5',plain,[407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 356 : element(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], the_carrier(367 ^ [])), 356 : in(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 368 ^ []), 356 : relstr_set_smaller(367 ^ [], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]), 352 : in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])), 352 : 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 344 : -(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []]))],extension(342 ^ 10,bind([[_101533, _101683, _101961, _102133], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.8.1.5.1',plain,[-(element(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], the_carrier(367 ^ [])))],extension(412 ^ 17)).
% 48.68/47.07 ncf('1.1.8.1.5.2',plain,[-(in(410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 368 ^ []))],extension(414 ^ 17)).
% 48.68/47.07 ncf('1.1.8.1.5.3',plain,[-(relstr_set_smaller(367 ^ [], 407 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 410 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]))],extension(416 ^ 17)).
% 48.68/47.07 ncf('1.1.8.1.5.4',plain,[-(in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], powerset(369 ^ [])))],reduction('1.1.8')).
% 48.68/47.07 ncf('1.1.8.1.5.5',plain,[-(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(2 ^ 13,bind([[_89583], [382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]]]))).
% 48.68/47.07 ncf('1.1.8.1.5.6',plain,[in(382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]], 321 ^ [369 ^ [], 368 ^ [], 367 ^ []])],extension(418 ^ 11)).
% 48.68/47.07 ncf('1.1.8.2',plain,[-(326 ^ [369 ^ [], 368 ^ [], 367 ^ [], 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]]] = 382 ^ [321 ^ [369 ^ [], 368 ^ [], 367 ^ []]])],extension(330 ^ 7)).
% 48.68/47.07 ncf('1.1.8.3',plain,[-(powerset(369 ^ []) = powerset(369 ^ [])), 369 ^ [] = 369 ^ []],extension(126 ^ 7,bind([[_93476, _93478], [369 ^ [], 369 ^ []]]))).
% 48.68/47.07 ncf('1.1.8.3.1',plain,[-(369 ^ [] = 369 ^ [])],extension(2 ^ 8,bind([[_89583], [369 ^ []]]))).
% 48.68/47.07 %-----------------------------------------------------
% 48.68/47.07 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------