%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET714+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:56:20 EDT 2023

% Result   : Theorem 0.55s 1.37s
% Output   : Proof 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET714+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n001.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 19:47:05 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.55/1.37  
% 0.55/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.55/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/1.37  %-----------------------------------------------------
% 0.55/1.37  ncf(matrix, plain, [(1313 ^ _188481) ^ [] : [-(maps(1309 ^ [], 1310 ^ [], 1311 ^ []))], (1315 ^ _188481) ^ [] : [-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))], (1317 ^ _188481) ^ [] : [identity(compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ []), 1310 ^ [])], (318 ^ _188481) ^ [_199869, _199871] : [_199871 = _199869, -(power_set(_199871) = power_set(_199869))], (324 ^ _188481) ^ [_200115, _200117, _200119, _200121] : [-(intersection(_200121, _200117) = intersection(_200119, _200115)), _200121 = _200119, _200117 = _200115], (334 ^ _188481) ^ [_200474, _200476, _200478, _200480] : [-(union(_200480, _200476) = union(_200478, _200474)), _200480 = _200478, _200476 = _200474], (344 ^ _188481) ^ [_200833, _200835, _200837, _200839] : [-(difference(_200839, _200835) = difference(_200837, _200833)), _200839 = _200837, _200835 = _200833], (354 ^ _188481) ^ [_201164, _201166] : [_201166 = _201164, -(singleton(_201166) = singleton(_201164))], (360 ^ _188481) ^ [_201410, _201412, _201414, _201416] : [-(unordered_pair(_201416, _201412) = unordered_pair(_201414, _201410)), _201416 = _201414, _201412 = _201410], (370 ^ _188481) ^ [_201741, _201743] : [_201743 = _201741, -(sum(_201743) = sum(_201741))], (376 ^ _188481) ^ [_201959, _201961] : [_201961 = _201959, -(product(_201961) = product(_201959))], (382 ^ _188481) ^ [_202205, _202207, _202209, _202211] : [-(image2(_202211, _202207) = image2(_202209, _202205)), _202211 = _202209, _202207 = _202205], (392 ^ _188481) ^ [_202592, _202594, _202596, _202598, _202600, _202602] : [-(image3(_202602, _202598, _202594) = image3(_202600, _202596, _202592)), _202602 = _202600, _202598 = _202596, _202594 = _202592], (406 ^ _188481) ^ [_203080, _203082, _203084, _203086] : [-(inverse_image2(_203086, _203082) = inverse_image2(_203084, _203080)), _203086 = _203084, _203082 = _203080], (416 ^ _188481) ^ [_203467, _203469, _203471, _203473, _203475, _203477] : [-(inverse_image3(_203477, _203473, _203469) = inverse_image3(_203475, _203471, _203467)), _203477 = _203475, _203473 = _203471, _203469 = _203467], (452 ^ _188481) ^ [_204841, _204843, _204845, _204847, _204849, _204851] : [-(inverse_function(_204851, _204847, _204843) = inverse_function(_204849, _204845, _204841)), _204851 = _204849, _204847 = _204845, _204843 = _204841], (430 ^ _188481) ^ [_204039, _204041, _204043, _204045, _204047, _204049, _204051, _204053, _204055, _204057] : [-(compose_function(_204057, _204053, _204049, _204045, _204041) = compose_function(_204055, _204051, _204047, _204043, _204039)), _204057 = _204055, _204053 = _204051, _204049 = _204047, _204045 = _204043, _204041 = _204039], (2 ^ _188481) ^ [_188625] : [-(_188625 = _188625)], (4 ^ _188481) ^ [_188732, _188734] : [_188734 = _188732, -(_188732 = _188734)], (10 ^ _188481) ^ [_188936, _188938, _188940] : [-(_188940 = _188936), _188940 = _188938, _188938 = _188936], (20 ^ _188481) ^ [_189277, _189279, _189281, _189283] : [-(equal_set(_189281, _189277)), equal_set(_189283, _189279), _189283 = _189281, _189279 = _189277], (34 ^ _188481) ^ [_189721, _189723, _189725, _189727] : [-(subset(_189725, _189721)), subset(_189727, _189723), _189727 = _189725, _189723 = _189721], (48 ^ _188481) ^ [_190277, _190279, _190281, _190283, _190285, _190287, _190289, _190291, _190293, _190295, _190297, _190299] : [-(compose_predicate(_190297, _190293, _190289, _190285, _190281, _190277)), compose_predicate(_190299, _190295, _190291, _190287, _190283, _190279), _190299 = _190297, _190295 = _190293, _190291 = _190289, _190287 = _190285, _190283 = _190281, _190279 = _190277], (78 ^ _188481) ^ [_191421, _191423, _191425, _191427, _191429, _191431, _191433, _191435] : [-(equal_maps(_191433, _191429, _191425, _191421)), equal_maps(_191435, _191431, _191427, _191423), _191435 = _191433, _191431 = _191429, _191427 = _191425, _191423 = _191421], (100 ^ _188481) ^ [_192183, _192185, _192187, _192189, _192191, _192193] : [-(injective(_192191, _192187, _192183)), injective(_192193, _192189, _192185), _192193 = _192191, _192189 = _192187, _192185 = _192183], (118 ^ _188481) ^ [_192792, _192794, _192796, _192798, _192800, _192802] : [-(surjective(_192800, _192796, _192792)), surjective(_192802, _192798, _192794), _192802 = _192800, _192798 = _192796, _192794 = _192792], (136 ^ _188481) ^ [_193429, _193431, _193433, _193435, _193437, _193439, _193441, _193443] : [-(inverse_predicate(_193441, _193437, _193433, _193429)), inverse_predicate(_193443, _193439, _193435, _193431), _193443 = _193441, _193439 = _193437, _193435 = _193433, _193431 = _193429], (158 ^ _188481) ^ [_194247, _194249, _194251, _194253, _194255, _194257, _194259, _194261, _194263, _194265] : [-(increasing(_194263, _194259, _194255, _194251, _194247)), increasing(_194265, _194261, _194257, _194253, _194249), _194265 = _194263, _194261 = _194259, _194257 = _194255, _194253 = _194251, _194249 = _194247], (184 ^ _188481) ^ [_195234, _195236, _195238, _195240, _195242, _195244, _195246, _195248, _195250, _195252] : [-(decreasing(_195250, _195246, _195242, _195238, _195234)), decreasing(_195252, _195248, _195244, _195240, _195236), _195252 = _195250, _195248 = _195246, _195244 = _195242, _195240 = _195238, _195236 = _195234], (210 ^ _188481) ^ [_196221, _196223, _196225, _196227, _196229, _196231, _196233, _196235, _196237, _196239] : [-(isomorphism(_196237, _196233, _196229, _196225, _196221)), isomorphism(_196239, _196235, _196231, _196227, _196223), _196239 = _196237, _196235 = _196233, _196231 = _196229, _196227 = _196225, _196223 = _196221], (236 ^ _188481) ^ [_197124, _197126, _197128, _197130] : [-(member(_197128, _197124)), member(_197130, _197126), _197130 = _197128, _197126 = _197124], (250 ^ _188481) ^ [_197596, _197598, _197600, _197602, _197604, _197606] : [-(apply(_197604, _197600, _197596)), apply(_197606, _197602, _197598), _197606 = _197604, _197602 = _197600, _197598 = _197596], (268 ^ _188481) ^ [_198205, _198207, _198209, _198211, _198213, _198215] : [-(maps(_198213, _198209, _198205)), maps(_198215, _198211, _198207), _198215 = _198213, _198211 = _198209, _198207 = _198205], (304 ^ _188481) ^ [_199375, _199377, _199379, _199381] : [-(identity(_199379, _199375)), identity(_199381, _199377), _199381 = _199379, _199377 = _199375], (286 ^ _188481) ^ [_198814, _198816, _198818, _198820, _198822, _198824] : [-(one_to_one(_198822, _198818, _198814)), one_to_one(_198824, _198820, _198816), _198824 = _198822, _198820 = _198818, _198816 = _198814], (476 ^ _188481) ^ [_205722, _205724] : [478 ^ _188481 : [(479 ^ _188481) ^ [] : [-(member(477 ^ [_205722, _205724], _205724))], (481 ^ _188481) ^ [] : [member(477 ^ [_205722, _205724], _205722)]], -(subset(_205724, _205722))], (466 ^ _188481) ^ [_205408, _205410] : [subset(_205410, _205408), 469 ^ _188481 : [(470 ^ _188481) ^ [_205545] : [member(_205545, _205410), -(member(_205545, _205408))]]], (485 ^ _188481) ^ [_206108, _206110] : [equal_set(_206110, _206108), 488 ^ _188481 : [(489 ^ _188481) ^ [] : [-(subset(_206110, _206108))], (491 ^ _188481) ^ [] : [-(subset(_206108, _206110))]]], (493 ^ _188481) ^ [_206345, _206347] : [-(equal_set(_206347, _206345)), subset(_206347, _206345), subset(_206345, _206347)], (503 ^ _188481) ^ [_206675, _206677] : [member(_206677, power_set(_206675)), -(subset(_206677, _206675))], (509 ^ _188481) ^ [_206841, _206843] : [subset(_206843, _206841), -(member(_206843, power_set(_206841)))], (515 ^ _188481) ^ [_207100, _207102, _207104] : [member(_207104, intersection(_207102, _207100)), 518 ^ _188481 : [(519 ^ _188481) ^ [] : [-(member(_207104, _207102))], (521 ^ _188481) ^ [] : [-(member(_207104, _207100))]]], (523 ^ _188481) ^ [_207351, _207353, _207355] : [-(member(_207355, intersection(_207353, _207351))), member(_207355, _207353), member(_207355, _207351)], (543 ^ _188481) ^ [_207979, _207981, _207983] : [544 ^ _188481 : [(545 ^ _188481) ^ [] : [member(_207983, _207981)], (547 ^ _188481) ^ [] : [member(_207983, _207979)]], -(member(_207983, union(_207981, _207979)))], (533 ^ _188481) ^ [_207711, _207713, _207715] : [member(_207715, union(_207713, _207711)), -(member(_207715, _207713)), -(member(_207715, _207711))], (551 ^ _188481) ^ [_208249] : [member(_208249, empty_set)], (553 ^ _188481) ^ [_208399, _208401, _208403] : [member(_208403, difference(_208399, _208401)), 556 ^ _188481 : [(557 ^ _188481) ^ [] : [-(member(_208403, _208399))], (559 ^ _188481) ^ [] : [member(_208403, _208401)]]], (561 ^ _188481) ^ [_208651, _208653, _208655] : [-(member(_208655, difference(_208651, _208653))), member(_208655, _208651), -(member(_208655, _208653))], (571 ^ _188481) ^ [_209000, _209002] : [member(_209002, singleton(_209000)), -(_209002 = _209000)], (577 ^ _188481) ^ [_209166, _209168] : [_209168 = _209166, -(member(_209168, singleton(_209166)))], (593 ^ _188481) ^ [_209693, _209695, _209697] : [594 ^ _188481 : [(595 ^ _188481) ^ [] : [_209697 = _209695], (597 ^ _188481) ^ [] : [_209697 = _209693]], -(member(_209697, unordered_pair(_209695, _209693)))], (583 ^ _188481) ^ [_209425, _209427, _209429] : [member(_209429, unordered_pair(_209427, _209425)), -(_209429 = _209427), -(_209429 = _209425)], (601 ^ _188481) ^ [_210022, _210024] : [member(_210024, sum(_210022)), 605 ^ _188481 : [(606 ^ _188481) ^ [] : [-(member(604 ^ [_210022, _210024], _210022))], (608 ^ _188481) ^ [] : [-(member(_210024, 604 ^ [_210022, _210024]))]]], (610 ^ _188481) ^ [_210333, _210335] : [-(member(_210335, sum(_210333))), 611 ^ _188481 : [(612 ^ _188481) ^ [_210427] : [member(_210427, _210333), member(_210335, _210427)]]], (630 ^ _188481) ^ [_211028, _211030] : [632 ^ _188481 : [(633 ^ _188481) ^ [] : [-(member(631 ^ [_211028, _211030], _211028))], (635 ^ _188481) ^ [] : [member(_211030, 631 ^ [_211028, _211030])]], -(member(_211030, product(_211028)))], (620 ^ _188481) ^ [_210710, _210712] : [member(_210712, product(_210710)), 623 ^ _188481 : [(624 ^ _188481) ^ [_210851] : [member(_210851, _210710), -(member(_210712, _210851))]]], (674 ^ _188481) ^ [_212715, _212717, _212719] : [-(maps(_212719, _212717, _212715)), 689 ^ _188481 : [(690 ^ _188481) ^ [] : [-(member(686 ^ [_212715, _212717, _212719], _212717))], (692 ^ _188481) ^ [] : [-(member(687 ^ [_212715, _212717, _212719], _212715))], (694 ^ _188481) ^ [] : [-(member(688 ^ [_212715, _212717, _212719], _212715))], (696 ^ _188481) ^ [] : [-(apply(_212719, 686 ^ [_212715, _212717, _212719], 687 ^ [_212715, _212717, _212719]))], (698 ^ _188481) ^ [] : [-(apply(_212719, 686 ^ [_212715, _212717, _212719], 688 ^ [_212715, _212717, _212719]))], (700 ^ _188481) ^ [] : [687 ^ [_212715, _212717, _212719] = 688 ^ [_212715, _212717, _212719]]], 678 ^ _188481 : [(679 ^ _188481) ^ [] : [-(member(677 ^ [_212715, _212717, _212719], _212717))], (681 ^ _188481) ^ [_213055] : [member(_213055, _212715), apply(_212719, 677 ^ [_212715, _212717, _212719], _213055)]]], (639 ^ _188481) ^ [_211470, _211472, _211474] : [maps(_211474, _211472, _211470), 642 ^ _188481 : [(643 ^ _188481) ^ [_211698] : [member(_211698, _211472), 647 ^ _188481 : [(648 ^ _188481) ^ [] : [-(member(646 ^ [_211470, _211472, _211474, _211698], _211470))], (650 ^ _188481) ^ [] : [-(apply(_211474, _211698, 646 ^ [_211470, _211472, _211474, _211698]))]]], (652 ^ _188481) ^ [_212088, _212090, _212092] : [member(_212092, _211472), member(_212090, _211470), member(_212088, _211470), -(_212090 = _212088), apply(_211474, _212092, _212090), apply(_211474, _212092, _212088)]]], (741 ^ _188481) ^ [_215750, _215752, _215754, _215756, _215758, _215760] : [-(compose_predicate(_215760, _215758, _215756, _215754, _215752, _215750)), 744 ^ _188481 : [(745 ^ _188481) ^ [] : [-(member(742 ^ [_215750, _215752, _215754, _215756, _215758, _215760], _215754))], (747 ^ _188481) ^ [] : [-(member(743 ^ [_215750, _215752, _215754, _215756, _215758, _215760], _215750))], (749 ^ _188481) ^ [] : [763 ^ _188481 : [(764 ^ _188481) ^ [] : [-(member(762 ^ [_215750, _215752, _215754, _215756, _215758, _215760], _215752))], (766 ^ _188481) ^ [] : [-(apply(_215756, 742 ^ [_215750, _215752, _215754, _215756, _215758, _215760], 762 ^ [_215750, _215752, _215754, _215756, _215758, _215760]))], (768 ^ _188481) ^ [] : [-(apply(_215758, 762 ^ [_215750, _215752, _215754, _215756, _215758, _215760], 743 ^ [_215750, _215752, _215754, _215756, _215758, _215760]))], (770 ^ _188481) ^ [] : [apply(_215760, 742 ^ [_215750, _215752, _215754, _215756, _215758, _215760], 743 ^ [_215750, _215752, _215754, _215756, _215758, _215760])]], 750 ^ _188481 : [(751 ^ _188481) ^ [] : [-(apply(_215760, 742 ^ [_215750, _215752, _215754, _215756, _215758, _215760], 743 ^ [_215750, _215752, _215754, _215756, _215758, _215760]))], (753 ^ _188481) ^ [_216475] : [member(_216475, _215752), apply(_215756, 742 ^ [_215750, _215752, _215754, _215756, _215758, _215760], _216475), apply(_215758, _216475, 743 ^ [_215750, _215752, _215754, _215756, _215758, _215760])]]]]], (704 ^ _188481) ^ [_214275, _214277, _214279, _214281, _214283, _214285] : [compose_predicate(_214285, _214283, _214281, _214279, _214277, _214275), 707 ^ _188481 : [(708 ^ _188481) ^ [_214487, _214489] : [member(_214489, _214279), member(_214487, _214275), 715 ^ _188481 : [(716 ^ _188481) ^ [] : [apply(_214285, _214489, _214487), 720 ^ _188481 : [(721 ^ _188481) ^ [] : [-(member(719 ^ [_214275, _214277, _214279, _214281, _214283, _214285, _214487, _214489], _214277))], (723 ^ _188481) ^ [] : [-(apply(_214281, _214489, 719 ^ [_214275, _214277, _214279, _214281, _214283, _214285, _214487, _214489]))], (725 ^ _188481) ^ [] : [-(apply(_214283, 719 ^ [_214275, _214277, _214279, _214281, _214283, _214285, _214487, _214489], _214487))]]], (727 ^ _188481) ^ [] : [-(apply(_214285, _214489, _214487)), 728 ^ _188481 : [(729 ^ _188481) ^ [_215332] : [member(_215332, _214277), apply(_214281, _214489, _215332), apply(_214283, _215332, _214487)]]]]]]], (774 ^ _188481) ^ [_217544, _217546, _217548, _217550, _217552, _217554, _217556] : [member(_217546, _217552), member(_217544, _217548), 781 ^ _188481 : [(782 ^ _188481) ^ [] : [apply(compose_function(_217556, _217554, _217552, _217550, _217548), _217546, _217544), 786 ^ _188481 : [(787 ^ _188481) ^ [] : [-(member(785 ^ [_217544, _217546, _217548, _217550, _217552, _217554, _217556], _217550))], (789 ^ _188481) ^ [] : [-(apply(_217554, _217546, 785 ^ [_217544, _217546, _217548, _217550, _217552, _217554, _217556]))], (791 ^ _188481) ^ [] : [-(apply(_217556, 785 ^ [_217544, _217546, _217548, _217550, _217552, _217554, _217556], _217544))]]], (793 ^ _188481) ^ [] : [-(apply(compose_function(_217556, _217554, _217552, _217550, _217548), _217546, _217544)), 794 ^ _188481 : [(795 ^ _188481) ^ [_218359] : [member(_218359, _217550), apply(_217554, _217546, _218359), apply(_217556, _218359, _217544)]]]]], (833 ^ _188481) ^ [_219731, _219733, _219735, _219737] : [837 ^ _188481 : [(838 ^ _188481) ^ [] : [-(member(834 ^ [_219731, _219733, _219735, _219737], _219733))], (840 ^ _188481) ^ [] : [-(member(835 ^ [_219731, _219733, _219735, _219737], _219731))], (842 ^ _188481) ^ [] : [-(member(836 ^ [_219731, _219733, _219735, _219737], _219731))], (844 ^ _188481) ^ [] : [-(apply(_219737, 834 ^ [_219731, _219733, _219735, _219737], 835 ^ [_219731, _219733, _219735, _219737]))], (846 ^ _188481) ^ [] : [-(apply(_219735, 834 ^ [_219731, _219733, _219735, _219737], 836 ^ [_219731, _219733, _219735, _219737]))], (848 ^ _188481) ^ [] : [835 ^ [_219731, _219733, _219735, _219737] = 836 ^ [_219731, _219733, _219735, _219737]]], -(equal_maps(_219737, _219735, _219733, _219731))], (807 ^ _188481) ^ [_218869, _218871, _218873, _218875] : [equal_maps(_218875, _218873, _218871, _218869), 810 ^ _188481 : [(811 ^ _188481) ^ [_219082, _219084, _219086] : [member(_219086, _218871), member(_219084, _218869), member(_219082, _218869), -(_219084 = _219082), apply(_218875, _219086, _219084), apply(_218873, _219086, _219082)]]], (862 ^ _188481) ^ [_221189, _221191] : [864 ^ _188481 : [(865 ^ _188481) ^ [] : [-(member(863 ^ [_221189, _221191], _221189))], (867 ^ _188481) ^ [] : [apply(_221191, 863 ^ [_221189, _221191], 863 ^ [_221189, _221191])]], -(identity(_221191, _221189))], (852 ^ _188481) ^ [_220872, _220874] : [identity(_220874, _220872), 855 ^ _188481 : [(856 ^ _188481) ^ [_221010] : [member(_221010, _220872), -(apply(_220874, _221010, _221010))]]], (897 ^ _188481) ^ [_222431, _222433, _222435] : [901 ^ _188481 : [(902 ^ _188481) ^ [] : [-(member(898 ^ [_222431, _222433, _222435], _222433))], (904 ^ _188481) ^ [] : [-(member(899 ^ [_222431, _222433, _222435], _222433))], (906 ^ _188481) ^ [] : [-(member(900 ^ [_222431, _222433, _222435], _222431))], (908 ^ _188481) ^ [] : [-(apply(_222435, 898 ^ [_222431, _222433, _222435], 900 ^ [_222431, _222433, _222435]))], (910 ^ _188481) ^ [] : [-(apply(_222435, 899 ^ [_222431, _222433, _222435], 900 ^ [_222431, _222433, _222435]))], (912 ^ _188481) ^ [] : [898 ^ [_222431, _222433, _222435] = 899 ^ [_222431, _222433, _222435]]], -(injective(_222435, _222433, _222431))], (871 ^ _188481) ^ [_221599, _221601, _221603] : [injective(_221603, _221601, _221599), 874 ^ _188481 : [(875 ^ _188481) ^ [_221806, _221808, _221810] : [member(_221810, _221601), member(_221808, _221601), member(_221806, _221599), -(_221810 = _221808), apply(_221603, _221810, _221806), apply(_221603, _221808, _221806)]]], (916 ^ _188481) ^ [_223520, _223522, _223524] : [surjective(_223524, _223522, _223520), 919 ^ _188481 : [(920 ^ _188481) ^ [_223675] : [member(_223675, _223520), 924 ^ _188481 : [(925 ^ _188481) ^ [] : [-(member(923 ^ [_223520, _223522, _223524, _223675], _223522))], (927 ^ _188481) ^ [] : [-(apply(_223524, 923 ^ [_223520, _223522, _223524, _223675], _223675))]]]]], (929 ^ _188481) ^ [_224028, _224030, _224032] : [-(surjective(_224032, _224030, _224028)), 931 ^ _188481 : [(932 ^ _188481) ^ [] : [-(member(930 ^ [_224028, _224030, _224032], _224028))], (934 ^ _188481) ^ [_224279] : [member(_224279, _224030), apply(_224032, _224279, 930 ^ [_224028, _224030, _224032])]]], (942 ^ _188481) ^ [_224627, _224629, _224631] : [one_to_one(_224631, _224629, _224627), 945 ^ _188481 : [(946 ^ _188481) ^ [] : [-(injective(_224631, _224629, _224627))], (948 ^ _188481) ^ [] : [-(surjective(_224631, _224629, _224627))]]], (950 ^ _188481) ^ [_224878, _224880, _224882] : [-(one_to_one(_224882, _224880, _224878)), injective(_224882, _224880, _224878), surjective(_224882, _224880, _224878)], (984 ^ _188481) ^ [_226036, _226038, _226040, _226042] : [-(inverse_predicate(_226042, _226040, _226038, _226036)), 987 ^ _188481 : [(988 ^ _188481) ^ [] : [-(member(985 ^ [_226036, _226038, _226040, _226042], _226038))], (990 ^ _188481) ^ [] : [-(member(986 ^ [_226036, _226038, _226040, _226042], _226036))], (992 ^ _188481) ^ [] : [993 ^ _188481 : [(994 ^ _188481) ^ [] : [-(apply(_226040, 985 ^ [_226036, _226038, _226040, _226042], 986 ^ [_226036, _226038, _226040, _226042]))], (996 ^ _188481) ^ [] : [apply(_226042, 986 ^ [_226036, _226038, _226040, _226042], 985 ^ [_226036, _226038, _226040, _226042])]], 997 ^ _188481 : [(998 ^ _188481) ^ [] : [-(apply(_226042, 986 ^ [_226036, _226038, _226040, _226042], 985 ^ [_226036, _226038, _226040, _226042]))], (1000 ^ _188481) ^ [] : [apply(_226040, 985 ^ [_226036, _226038, _226040, _226042], 986 ^ [_226036, _226038, _226040, _226042])]]]]], (960 ^ _188481) ^ [_225252, _225254, _225256, _225258] : [inverse_predicate(_225258, _225256, _225254, _225252), 963 ^ _188481 : [(964 ^ _188481) ^ [_225434, _225436] : [member(_225436, _225254), member(_225434, _225252), 971 ^ _188481 : [(972 ^ _188481) ^ [] : [apply(_225256, _225436, _225434), -(apply(_225258, _225434, _225436))], (978 ^ _188481) ^ [] : [apply(_225258, _225434, _225436), -(apply(_225256, _225436, _225434))]]]]], (1004 ^ _188481) ^ [_227027, _227029, _227031, _227033, _227035] : [member(_227029, _227033), member(_227027, _227031), 1011 ^ _188481 : [(1012 ^ _188481) ^ [] : [apply(_227035, _227029, _227027), -(apply(inverse_function(_227035, _227033, _227031), _227027, _227029))], (1018 ^ _188481) ^ [] : [apply(inverse_function(_227035, _227033, _227031), _227027, _227029), -(apply(_227035, _227029, _227027))]]], (1024 ^ _188481) ^ [_227699, _227701, _227703] : [member(_227699, image2(_227703, _227701)), 1028 ^ _188481 : [(1029 ^ _188481) ^ [] : [-(member(1027 ^ [_227699, _227701, _227703], _227701))], (1031 ^ _188481) ^ [] : [-(apply(_227703, 1027 ^ [_227699, _227701, _227703], _227699))]]], (1033 ^ _188481) ^ [_228031, _228033, _228035] : [-(member(_228031, image2(_228035, _228033))), 1034 ^ _188481 : [(1035 ^ _188481) ^ [_228129] : [member(_228129, _228033), apply(_228035, _228129, _228031)]]], (1043 ^ _188481) ^ [_228473, _228475, _228477, _228479] : [member(_228473, image3(_228479, _228477, _228475)), 1046 ^ _188481 : [(1047 ^ _188481) ^ [] : [-(member(_228473, _228475))], (1050 ^ _188481) ^ [] : [-(member(1048 ^ [_228473, _228475, _228477, _228479], _228477))], (1052 ^ _188481) ^ [] : [-(apply(_228479, 1048 ^ [_228473, _228475, _228477, _228479], _228473))]]], (1054 ^ _188481) ^ [_228901, _228903, _228905, _228907] : [-(member(_228901, image3(_228907, _228905, _228903))), member(_228901, _228903), 1059 ^ _188481 : [(1060 ^ _188481) ^ [_229095] : [member(_229095, _228905), apply(_228907, _229095, _228901)]]], (1068 ^ _188481) ^ [_229440, _229442, _229444] : [member(_229440, inverse_image2(_229444, _229442)), 1072 ^ _188481 : [(1073 ^ _188481) ^ [] : [-(member(1071 ^ [_229440, _229442, _229444], _229442))], (1075 ^ _188481) ^ [] : [-(apply(_229444, _229440, 1071 ^ [_229440, _229442, _229444]))]]], (1077 ^ _188481) ^ [_229772, _229774, _229776] : [-(member(_229772, inverse_image2(_229776, _229774))), 1078 ^ _188481 : [(1079 ^ _188481) ^ [_229870] : [member(_229870, _229774), apply(_229776, _229772, _229870)]]], (1087 ^ _188481) ^ [_230214, _230216, _230218, _230220] : [member(_230214, inverse_image3(_230220, _230218, _230216)), 1090 ^ _188481 : [(1091 ^ _188481) ^ [] : [-(member(_230214, _230216))], (1094 ^ _188481) ^ [] : [-(member(1092 ^ [_230214, _230216, _230218, _230220], _230218))], (1096 ^ _188481) ^ [] : [-(apply(_230220, _230214, 1092 ^ [_230214, _230216, _230218, _230220]))]]], (1098 ^ _188481) ^ [_230642, _230644, _230646, _230648] : [-(member(_230642, inverse_image3(_230648, _230646, _230644))), member(_230642, _230644), 1103 ^ _188481 : [(1104 ^ _188481) ^ [_230836] : [member(_230836, _230646), apply(_230648, _230642, _230836)]]], (1146 ^ _188481) ^ [_232390, _232392, _232394, _232396, _232398] : [1151 ^ _188481 : [(1152 ^ _188481) ^ [] : [-(member(1147 ^ [_232390, _232392, _232394, _232396, _232398], _232396))], (1154 ^ _188481) ^ [] : [-(member(1148 ^ [_232390, _232392, _232394, _232396, _232398], _232392))], (1156 ^ _188481) ^ [] : [-(member(1149 ^ [_232390, _232392, _232394, _232396, _232398], _232396))], (1158 ^ _188481) ^ [] : [-(member(1150 ^ [_232390, _232392, _232394, _232396, _232398], _232392))], (1160 ^ _188481) ^ [] : [-(apply(_232394, 1147 ^ [_232390, _232392, _232394, _232396, _232398], 1149 ^ [_232390, _232392, _232394, _232396, _232398]))], (1162 ^ _188481) ^ [] : [-(apply(_232398, 1147 ^ [_232390, _232392, _232394, _232396, _232398], 1148 ^ [_232390, _232392, _232394, _232396, _232398]))], (1164 ^ _188481) ^ [] : [-(apply(_232398, 1149 ^ [_232390, _232392, _232394, _232396, _232398], 1150 ^ [_232390, _232392, _232394, _232396, _232398]))], (1166 ^ _188481) ^ [] : [apply(_232390, 1148 ^ [_232390, _232392, _232394, _232396, _232398], 1150 ^ [_232390, _232392, _232394, _232396, _232398])]], -(increasing(_232398, _232396, _232394, _232392, _232390))], (1112 ^ _188481) ^ [_231209, _231211, _231213, _231215, _231217] : [increasing(_231217, _231215, _231213, _231211, _231209), 1115 ^ _188481 : [(1116 ^ _188481) ^ [_231461, _231463, _231465, _231467] : [-(apply(_231209, _231465, _231461)), member(_231467, _231215), member(_231465, _231211), member(_231463, _231215), member(_231461, _231211), apply(_231213, _231467, _231463), apply(_231217, _231467, _231465), apply(_231217, _231463, _231461)]]], (1204 ^ _188481) ^ [_235311, _235313, _235315, _235317, _235319] : [1209 ^ _188481 : [(1210 ^ _188481) ^ [] : [-(member(1205 ^ [_235311, _235313, _235315, _235317, _235319], _235317))], (1212 ^ _188481) ^ [] : [-(member(1206 ^ [_235311, _235313, _235315, _235317, _235319], _235313))], (1214 ^ _188481) ^ [] : [-(member(1207 ^ [_235311, _235313, _235315, _235317, _235319], _235317))], (1216 ^ _188481) ^ [] : [-(member(1208 ^ [_235311, _235313, _235315, _235317, _235319], _235313))], (1218 ^ _188481) ^ [] : [-(apply(_235315, 1205 ^ [_235311, _235313, _235315, _235317, _235319], 1207 ^ [_235311, _235313, _235315, _235317, _235319]))], (1220 ^ _188481) ^ [] : [-(apply(_235319, 1205 ^ [_235311, _235313, _235315, _235317, _235319], 1206 ^ [_235311, _235313, _235315, _235317, _235319]))], (1222 ^ _188481) ^ [] : [-(apply(_235319, 1207 ^ [_235311, _235313, _235315, _235317, _235319], 1208 ^ [_235311, _235313, _235315, _235317, _235319]))], (1224 ^ _188481) ^ [] : [apply(_235311, 1208 ^ [_235311, _235313, _235315, _235317, _235319], 1206 ^ [_235311, _235313, _235315, _235317, _235319])]], -(decreasing(_235319, _235317, _235315, _235313, _235311))], (1170 ^ _188481) ^ [_234130, _234132, _234134, _234136, _234138] : [decreasing(_234138, _234136, _234134, _234132, _234130), 1173 ^ _188481 : [(1174 ^ _188481) ^ [_234382, _234384, _234386, _234388] : [-(apply(_234130, _234382, _234386)), member(_234388, _234136), member(_234386, _234132), member(_234384, _234136), member(_234382, _234132), apply(_234134, _234388, _234384), apply(_234138, _234388, _234386), apply(_234138, _234384, _234382)]]], (1272 ^ _188481) ^ [_238581, _238583, _238585, _238587, _238589] : [-(isomorphism(_238589, _238587, _238585, _238583, _238581)), maps(_238589, _238587, _238583), one_to_one(_238589, _238587, _238583), 1285 ^ _188481 : [(1286 ^ _188481) ^ [] : [-(member(1281 ^ [_238581, _238583, _238585, _238587, _238589], _238587))], (1288 ^ _188481) ^ [] : [-(member(1282 ^ [_238581, _238583, _238585, _238587, _238589], _238583))], (1290 ^ _188481) ^ [] : [-(member(1283 ^ [_238581, _238583, _238585, _238587, _238589], _238587))], (1292 ^ _188481) ^ [] : [-(member(1284 ^ [_238581, _238583, _238585, _238587, _238589], _238583))], (1294 ^ _188481) ^ [] : [-(apply(_238589, 1281 ^ [_238581, _238583, _238585, _238587, _238589], 1282 ^ [_238581, _238583, _238585, _238587, _238589]))], (1296 ^ _188481) ^ [] : [-(apply(_238589, 1283 ^ [_238581, _238583, _238585, _238587, _238589], 1284 ^ [_238581, _238583, _238585, _238587, _238589]))], (1298 ^ _188481) ^ [] : [1299 ^ _188481 : [(1300 ^ _188481) ^ [] : [-(apply(_238585, 1281 ^ [_238581, _238583, _238585, _238587, _238589], 1283 ^ [_238581, _238583, _238585, _238587, _238589]))], (1302 ^ _188481) ^ [] : [apply(_238581, 1282 ^ [_238581, _238583, _238585, _238587, _238589], 1284 ^ [_238581, _238583, _238585, _238587, _238589])]], 1303 ^ _188481 : [(1304 ^ _188481) ^ [] : [-(apply(_238581, 1282 ^ [_238581, _238583, _238585, _238587, _238589], 1284 ^ [_238581, _238583, _238585, _238587, _238589]))], (1306 ^ _188481) ^ [] : [apply(_238585, 1281 ^ [_238581, _238583, _238585, _238587, _238589], 1283 ^ [_238581, _238583, _238585, _238587, _238589])]]]]], (1228 ^ _188481) ^ [_237031, _237033, _237035, _237037, _237039] : [isomorphism(_237039, _237037, _237035, _237033, _237031), 1231 ^ _188481 : [(1232 ^ _188481) ^ [] : [-(maps(_237039, _237037, _237033))], (1234 ^ _188481) ^ [] : [-(one_to_one(_237039, _237037, _237033))], (1236 ^ _188481) ^ [_237443, _237445, _237447, _237449] : [1259 ^ _188481 : [(1260 ^ _188481) ^ [] : [apply(_237035, _237449, _237445), -(apply(_237031, _237447, _237443))], (1266 ^ _188481) ^ [] : [apply(_237031, _237447, _237443), -(apply(_237035, _237449, _237445))]], member(_237449, _237037), member(_237447, _237033), member(_237445, _237037), member(_237443, _237033), apply(_237039, _237449, _237447), apply(_237039, _237445, _237443)]]]], input).
% 0.55/1.37  ncf('1',plain,[identity(compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ []), 1310 ^ [])],start(1317 ^ 0)).
% 0.55/1.37  ncf('1.1',plain,[-(identity(compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ []), 1310 ^ [])), 865 : -(member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []))],extension(862 ^ 1,bind([[_221189, _221191], [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]))).
% 0.55/1.37  ncf('1.1.1',plain,[member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []), member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []), 793 : -(apply(compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ []), 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])])), 795 : member(646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 1311 ^ []), 795 : apply(1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]), 795 : apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])])],extension(774 ^ 4,bind([[_217544, _217546, _217548, _217550, _217552, _217554, _217556, _218359], [863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ [], 1311 ^ [], 1310 ^ [], 1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]]]))).
% 0.55/1.37  ncf('1.1.1.1',plain,[-(member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []))],reduction('1.1')).
% 0.55/1.37  ncf('1.1.1.2',plain,[apply(compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ []), 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])])],extension(867 ^ 7)).
% 0.55/1.37  ncf('1.1.1.3',plain,[-(member(646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 1311 ^ [])), 643 : member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []), 643 : maps(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(639 ^ 9,bind([[_211470, _211472, _211474, _211698], [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]]))).
% 0.55/1.37  ncf('1.1.1.3.1',plain,[-(member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []))],reduction('1.1')).
% 0.55/1.37  ncf('1.1.1.3.2',plain,[-(maps(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(1313 ^ 10)).
% 0.55/1.37  ncf('1.1.1.4',plain,[-(apply(1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]])), 643 : member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []), 643 : maps(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(639 ^ 9,bind([[_211470, _211472, _211474, _211698], [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]]))).
% 0.55/1.37  ncf('1.1.1.4.1',plain,[-(member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []))],lemmata('[1, 1].x')).
% 0.55/1.37  ncf('1.1.1.4.2',plain,[-(maps(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(1313 ^ 10)).
% 0.55/1.37  ncf('1.1.1.5',plain,[-(apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])])), 1012 : apply(1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]), 1012 : member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []), 1012 : member(646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 1311 ^ [])],extension(1004 ^ 9,bind([[_227027, _227029, _227031, _227033, _227035], [646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 0.55/1.37  ncf('1.1.1.5.1',plain,[-(apply(1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]]))],lemmata('[1, 1].x')).
% 0.55/1.37  ncf('1.1.1.5.2',plain,[-(member(863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])], 1310 ^ []))],lemmata('[1, 1].x')).
% 0.55/1.37  ncf('1.1.1.5.3',plain,[-(member(646 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1310 ^ [], compose_function(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 1310 ^ [], 1311 ^ [], 1310 ^ [])]], 1311 ^ []))],lemmata('[1, 1].x')).
% 0.55/1.37  %-----------------------------------------------------
% 0.55/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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