%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 10.68s 10.68s
% Output   : Proof 10.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n012.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 18:53:47 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 10.68/10.68  
% 10.68/10.68  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 10.68/10.68  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.68/10.68  %-----------------------------------------------------
% 10.68/10.68  ncf(matrix, plain, [(1315 ^ _194415) ^ [] : [-(maps(1309 ^ [], 1311 ^ [], 1312 ^ []))], (1317 ^ _194415) ^ [] : [-(maps(1310 ^ [], 1312 ^ [], 1313 ^ []))], (1319 ^ _194415) ^ [] : [-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))], (1321 ^ _194415) ^ [] : [surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])], (318 ^ _194415) ^ [_205803, _205805] : [_205805 = _205803, -(power_set(_205805) = power_set(_205803))], (324 ^ _194415) ^ [_206049, _206051, _206053, _206055] : [-(intersection(_206055, _206051) = intersection(_206053, _206049)), _206055 = _206053, _206051 = _206049], (334 ^ _194415) ^ [_206408, _206410, _206412, _206414] : [-(union(_206414, _206410) = union(_206412, _206408)), _206414 = _206412, _206410 = _206408], (344 ^ _194415) ^ [_206767, _206769, _206771, _206773] : [-(difference(_206773, _206769) = difference(_206771, _206767)), _206773 = _206771, _206769 = _206767], (354 ^ _194415) ^ [_207098, _207100] : [_207100 = _207098, -(singleton(_207100) = singleton(_207098))], (360 ^ _194415) ^ [_207344, _207346, _207348, _207350] : [-(unordered_pair(_207350, _207346) = unordered_pair(_207348, _207344)), _207350 = _207348, _207346 = _207344], (370 ^ _194415) ^ [_207675, _207677] : [_207677 = _207675, -(sum(_207677) = sum(_207675))], (376 ^ _194415) ^ [_207893, _207895] : [_207895 = _207893, -(product(_207895) = product(_207893))], (382 ^ _194415) ^ [_208167, _208169, _208171, _208173, _208175, _208177] : [-(inverse_function(_208177, _208173, _208169) = inverse_function(_208175, _208171, _208167)), _208177 = _208175, _208173 = _208171, _208169 = _208167], (396 ^ _194415) ^ [_208655, _208657, _208659, _208661] : [-(image2(_208661, _208657) = image2(_208659, _208655)), _208661 = _208659, _208657 = _208655], (406 ^ _194415) ^ [_209042, _209044, _209046, _209048, _209050, _209052] : [-(image3(_209052, _209048, _209044) = image3(_209050, _209046, _209042)), _209052 = _209050, _209048 = _209046, _209044 = _209042], (420 ^ _194415) ^ [_209530, _209532, _209534, _209536] : [-(inverse_image2(_209536, _209532) = inverse_image2(_209534, _209530)), _209536 = _209534, _209532 = _209530], (430 ^ _194415) ^ [_209917, _209919, _209921, _209923, _209925, _209927] : [-(inverse_image3(_209927, _209923, _209919) = inverse_image3(_209925, _209921, _209917)), _209927 = _209925, _209923 = _209921, _209919 = _209917], (444 ^ _194415) ^ [_210469, _210471, _210473, _210475, _210477, _210479, _210481, _210483, _210485, _210487] : [-(compose_function(_210487, _210483, _210479, _210475, _210471) = compose_function(_210485, _210481, _210477, _210473, _210469)), _210487 = _210485, _210483 = _210481, _210479 = _210477, _210475 = _210473, _210471 = _210469], (2 ^ _194415) ^ [_194559] : [-(_194559 = _194559)], (4 ^ _194415) ^ [_194666, _194668] : [_194668 = _194666, -(_194666 = _194668)], (10 ^ _194415) ^ [_194870, _194872, _194874] : [-(_194874 = _194870), _194874 = _194872, _194872 = _194870], (20 ^ _194415) ^ [_195211, _195213, _195215, _195217] : [-(equal_set(_195215, _195211)), equal_set(_195217, _195213), _195217 = _195215, _195213 = _195211], (34 ^ _194415) ^ [_195655, _195657, _195659, _195661] : [-(subset(_195659, _195655)), subset(_195661, _195657), _195661 = _195659, _195657 = _195655], (48 ^ _194415) ^ [_196211, _196213, _196215, _196217, _196219, _196221, _196223, _196225, _196227, _196229, _196231, _196233] : [-(compose_predicate(_196231, _196227, _196223, _196219, _196215, _196211)), compose_predicate(_196233, _196229, _196225, _196221, _196217, _196213), _196233 = _196231, _196229 = _196227, _196225 = _196223, _196221 = _196219, _196217 = _196215, _196213 = _196211], (78 ^ _194415) ^ [_197355, _197357, _197359, _197361, _197363, _197365, _197367, _197369] : [-(equal_maps(_197367, _197363, _197359, _197355)), equal_maps(_197369, _197365, _197361, _197357), _197369 = _197367, _197365 = _197363, _197361 = _197359, _197357 = _197355], (100 ^ _194415) ^ [_198089, _198091, _198093, _198095] : [-(identity(_198093, _198089)), identity(_198095, _198091), _198095 = _198093, _198091 = _198089], (114 ^ _194415) ^ [_198561, _198563, _198565, _198567, _198569, _198571] : [-(injective(_198569, _198565, _198561)), injective(_198571, _198567, _198563), _198571 = _198569, _198567 = _198565, _198563 = _198561], (132 ^ _194415) ^ [_199198, _199200, _199202, _199204, _199206, _199208, _199210, _199212] : [-(inverse_predicate(_199210, _199206, _199202, _199198)), inverse_predicate(_199212, _199208, _199204, _199200), _199212 = _199210, _199208 = _199206, _199204 = _199202, _199200 = _199198], (154 ^ _194415) ^ [_200016, _200018, _200020, _200022, _200024, _200026, _200028, _200030, _200032, _200034] : [-(increasing(_200032, _200028, _200024, _200020, _200016)), increasing(_200034, _200030, _200026, _200022, _200018), _200034 = _200032, _200030 = _200028, _200026 = _200024, _200022 = _200020, _200018 = _200016], (180 ^ _194415) ^ [_201003, _201005, _201007, _201009, _201011, _201013, _201015, _201017, _201019, _201021] : [-(decreasing(_201019, _201015, _201011, _201007, _201003)), decreasing(_201021, _201017, _201013, _201009, _201005), _201021 = _201019, _201017 = _201015, _201013 = _201011, _201009 = _201007, _201005 = _201003], (206 ^ _194415) ^ [_201990, _201992, _201994, _201996, _201998, _202000, _202002, _202004, _202006, _202008] : [-(isomorphism(_202006, _202002, _201998, _201994, _201990)), isomorphism(_202008, _202004, _202000, _201996, _201992), _202008 = _202006, _202004 = _202002, _202000 = _201998, _201996 = _201994, _201992 = _201990], (232 ^ _194415) ^ [_202921, _202923, _202925, _202927, _202929, _202931] : [-(one_to_one(_202929, _202925, _202921)), one_to_one(_202931, _202927, _202923), _202931 = _202929, _202927 = _202925, _202923 = _202921], (250 ^ _194415) ^ [_203502, _203504, _203506, _203508] : [-(member(_203506, _203502)), member(_203508, _203504), _203508 = _203506, _203504 = _203502], (264 ^ _194415) ^ [_203974, _203976, _203978, _203980, _203982, _203984] : [-(apply(_203982, _203978, _203974)), apply(_203984, _203980, _203976), _203984 = _203982, _203980 = _203978, _203976 = _203974], (282 ^ _194415) ^ [_204583, _204585, _204587, _204589, _204591, _204593] : [-(maps(_204591, _204587, _204583)), maps(_204593, _204589, _204585), _204593 = _204591, _204589 = _204587, _204585 = _204583], (300 ^ _194415) ^ [_205172, _205174, _205176, _205178, _205180, _205182] : [-(surjective(_205180, _205176, _205172)), surjective(_205182, _205178, _205174), _205182 = _205180, _205178 = _205176, _205174 = _205172], (476 ^ _194415) ^ [_211656, _211658] : [478 ^ _194415 : [(479 ^ _194415) ^ [] : [-(member(477 ^ [_211656, _211658], _211658))], (481 ^ _194415) ^ [] : [member(477 ^ [_211656, _211658], _211656)]], -(subset(_211658, _211656))], (466 ^ _194415) ^ [_211342, _211344] : [subset(_211344, _211342), 469 ^ _194415 : [(470 ^ _194415) ^ [_211479] : [member(_211479, _211344), -(member(_211479, _211342))]]], (485 ^ _194415) ^ [_212042, _212044] : [equal_set(_212044, _212042), 488 ^ _194415 : [(489 ^ _194415) ^ [] : [-(subset(_212044, _212042))], (491 ^ _194415) ^ [] : [-(subset(_212042, _212044))]]], (493 ^ _194415) ^ [_212279, _212281] : [-(equal_set(_212281, _212279)), subset(_212281, _212279), subset(_212279, _212281)], (503 ^ _194415) ^ [_212609, _212611] : [member(_212611, power_set(_212609)), -(subset(_212611, _212609))], (509 ^ _194415) ^ [_212775, _212777] : [subset(_212777, _212775), -(member(_212777, power_set(_212775)))], (515 ^ _194415) ^ [_213034, _213036, _213038] : [member(_213038, intersection(_213036, _213034)), 518 ^ _194415 : [(519 ^ _194415) ^ [] : [-(member(_213038, _213036))], (521 ^ _194415) ^ [] : [-(member(_213038, _213034))]]], (523 ^ _194415) ^ [_213285, _213287, _213289] : [-(member(_213289, intersection(_213287, _213285))), member(_213289, _213287), member(_213289, _213285)], (543 ^ _194415) ^ [_213913, _213915, _213917] : [544 ^ _194415 : [(545 ^ _194415) ^ [] : [member(_213917, _213915)], (547 ^ _194415) ^ [] : [member(_213917, _213913)]], -(member(_213917, union(_213915, _213913)))], (533 ^ _194415) ^ [_213645, _213647, _213649] : [member(_213649, union(_213647, _213645)), -(member(_213649, _213647)), -(member(_213649, _213645))], (551 ^ _194415) ^ [_214183] : [member(_214183, empty_set)], (553 ^ _194415) ^ [_214333, _214335, _214337] : [member(_214337, difference(_214333, _214335)), 556 ^ _194415 : [(557 ^ _194415) ^ [] : [-(member(_214337, _214333))], (559 ^ _194415) ^ [] : [member(_214337, _214335)]]], (561 ^ _194415) ^ [_214585, _214587, _214589] : [-(member(_214589, difference(_214585, _214587))), member(_214589, _214585), -(member(_214589, _214587))], (571 ^ _194415) ^ [_214934, _214936] : [member(_214936, singleton(_214934)), -(_214936 = _214934)], (577 ^ _194415) ^ [_215100, _215102] : [_215102 = _215100, -(member(_215102, singleton(_215100)))], (593 ^ _194415) ^ [_215627, _215629, _215631] : [594 ^ _194415 : [(595 ^ _194415) ^ [] : [_215631 = _215629], (597 ^ _194415) ^ [] : [_215631 = _215627]], -(member(_215631, unordered_pair(_215629, _215627)))], (583 ^ _194415) ^ [_215359, _215361, _215363] : [member(_215363, unordered_pair(_215361, _215359)), -(_215363 = _215361), -(_215363 = _215359)], (601 ^ _194415) ^ [_215956, _215958] : [member(_215958, sum(_215956)), 605 ^ _194415 : [(606 ^ _194415) ^ [] : [-(member(604 ^ [_215956, _215958], _215956))], (608 ^ _194415) ^ [] : [-(member(_215958, 604 ^ [_215956, _215958]))]]], (610 ^ _194415) ^ [_216267, _216269] : [-(member(_216269, sum(_216267))), 611 ^ _194415 : [(612 ^ _194415) ^ [_216361] : [member(_216361, _216267), member(_216269, _216361)]]], (630 ^ _194415) ^ [_216962, _216964] : [632 ^ _194415 : [(633 ^ _194415) ^ [] : [-(member(631 ^ [_216962, _216964], _216962))], (635 ^ _194415) ^ [] : [member(_216964, 631 ^ [_216962, _216964])]], -(member(_216964, product(_216962)))], (620 ^ _194415) ^ [_216644, _216646] : [member(_216646, product(_216644)), 623 ^ _194415 : [(624 ^ _194415) ^ [_216785] : [member(_216785, _216644), -(member(_216646, _216785))]]], (674 ^ _194415) ^ [_218649, _218651, _218653] : [-(maps(_218653, _218651, _218649)), 689 ^ _194415 : [(690 ^ _194415) ^ [] : [-(member(686 ^ [_218649, _218651, _218653], _218651))], (692 ^ _194415) ^ [] : [-(member(687 ^ [_218649, _218651, _218653], _218649))], (694 ^ _194415) ^ [] : [-(member(688 ^ [_218649, _218651, _218653], _218649))], (696 ^ _194415) ^ [] : [-(apply(_218653, 686 ^ [_218649, _218651, _218653], 687 ^ [_218649, _218651, _218653]))], (698 ^ _194415) ^ [] : [-(apply(_218653, 686 ^ [_218649, _218651, _218653], 688 ^ [_218649, _218651, _218653]))], (700 ^ _194415) ^ [] : [687 ^ [_218649, _218651, _218653] = 688 ^ [_218649, _218651, _218653]]], 678 ^ _194415 : [(679 ^ _194415) ^ [] : [-(member(677 ^ [_218649, _218651, _218653], _218651))], (681 ^ _194415) ^ [_218989] : [member(_218989, _218649), apply(_218653, 677 ^ [_218649, _218651, _218653], _218989)]]], (639 ^ _194415) ^ [_217404, _217406, _217408] : [maps(_217408, _217406, _217404), 642 ^ _194415 : [(643 ^ _194415) ^ [_217632] : [member(_217632, _217406), 647 ^ _194415 : [(648 ^ _194415) ^ [] : [-(member(646 ^ [_217404, _217406, _217408, _217632], _217404))], (650 ^ _194415) ^ [] : [-(apply(_217408, _217632, 646 ^ [_217404, _217406, _217408, _217632]))]]], (652 ^ _194415) ^ [_218022, _218024, _218026] : [member(_218026, _217406), member(_218024, _217404), member(_218022, _217404), -(_218024 = _218022), apply(_217408, _218026, _218024), apply(_217408, _218026, _218022)]]], (741 ^ _194415) ^ [_221684, _221686, _221688, _221690, _221692, _221694] : [-(compose_predicate(_221694, _221692, _221690, _221688, _221686, _221684)), 744 ^ _194415 : [(745 ^ _194415) ^ [] : [-(member(742 ^ [_221684, _221686, _221688, _221690, _221692, _221694], _221688))], (747 ^ _194415) ^ [] : [-(member(743 ^ [_221684, _221686, _221688, _221690, _221692, _221694], _221684))], (749 ^ _194415) ^ [] : [763 ^ _194415 : [(764 ^ _194415) ^ [] : [-(member(762 ^ [_221684, _221686, _221688, _221690, _221692, _221694], _221686))], (766 ^ _194415) ^ [] : [-(apply(_221690, 742 ^ [_221684, _221686, _221688, _221690, _221692, _221694], 762 ^ [_221684, _221686, _221688, _221690, _221692, _221694]))], (768 ^ _194415) ^ [] : [-(apply(_221692, 762 ^ [_221684, _221686, _221688, _221690, _221692, _221694], 743 ^ [_221684, _221686, _221688, _221690, _221692, _221694]))], (770 ^ _194415) ^ [] : [apply(_221694, 742 ^ [_221684, _221686, _221688, _221690, _221692, _221694], 743 ^ [_221684, _221686, _221688, _221690, _221692, _221694])]], 750 ^ _194415 : [(751 ^ _194415) ^ [] : [-(apply(_221694, 742 ^ [_221684, _221686, _221688, _221690, _221692, _221694], 743 ^ [_221684, _221686, _221688, _221690, _221692, _221694]))], (753 ^ _194415) ^ [_222409] : [member(_222409, _221686), apply(_221690, 742 ^ [_221684, _221686, _221688, _221690, _221692, _221694], _222409), apply(_221692, _222409, 743 ^ [_221684, _221686, _221688, _221690, _221692, _221694])]]]]], (704 ^ _194415) ^ [_220209, _220211, _220213, _220215, _220217, _220219] : [compose_predicate(_220219, _220217, _220215, _220213, _220211, _220209), 707 ^ _194415 : [(708 ^ _194415) ^ [_220421, _220423] : [member(_220423, _220213), member(_220421, _220209), 715 ^ _194415 : [(716 ^ _194415) ^ [] : [apply(_220219, _220423, _220421), 720 ^ _194415 : [(721 ^ _194415) ^ [] : [-(member(719 ^ [_220209, _220211, _220213, _220215, _220217, _220219, _220421, _220423], _220211))], (723 ^ _194415) ^ [] : [-(apply(_220215, _220423, 719 ^ [_220209, _220211, _220213, _220215, _220217, _220219, _220421, _220423]))], (725 ^ _194415) ^ [] : [-(apply(_220217, 719 ^ [_220209, _220211, _220213, _220215, _220217, _220219, _220421, _220423], _220421))]]], (727 ^ _194415) ^ [] : [-(apply(_220219, _220423, _220421)), 728 ^ _194415 : [(729 ^ _194415) ^ [_221266] : [member(_221266, _220211), apply(_220215, _220423, _221266), apply(_220217, _221266, _220421)]]]]]]], (774 ^ _194415) ^ [_223478, _223480, _223482, _223484, _223486, _223488, _223490] : [member(_223480, _223486), member(_223478, _223482), 781 ^ _194415 : [(782 ^ _194415) ^ [] : [apply(compose_function(_223490, _223488, _223486, _223484, _223482), _223480, _223478), 786 ^ _194415 : [(787 ^ _194415) ^ [] : [-(member(785 ^ [_223478, _223480, _223482, _223484, _223486, _223488, _223490], _223484))], (789 ^ _194415) ^ [] : [-(apply(_223488, _223480, 785 ^ [_223478, _223480, _223482, _223484, _223486, _223488, _223490]))], (791 ^ _194415) ^ [] : [-(apply(_223490, 785 ^ [_223478, _223480, _223482, _223484, _223486, _223488, _223490], _223478))]]], (793 ^ _194415) ^ [] : [-(apply(compose_function(_223490, _223488, _223486, _223484, _223482), _223480, _223478)), 794 ^ _194415 : [(795 ^ _194415) ^ [_224293] : [member(_224293, _223484), apply(_223488, _223480, _224293), apply(_223490, _224293, _223478)]]]]], (833 ^ _194415) ^ [_225665, _225667, _225669, _225671] : [837 ^ _194415 : [(838 ^ _194415) ^ [] : [-(member(834 ^ [_225665, _225667, _225669, _225671], _225667))], (840 ^ _194415) ^ [] : [-(member(835 ^ [_225665, _225667, _225669, _225671], _225665))], (842 ^ _194415) ^ [] : [-(member(836 ^ [_225665, _225667, _225669, _225671], _225665))], (844 ^ _194415) ^ [] : [-(apply(_225671, 834 ^ [_225665, _225667, _225669, _225671], 835 ^ [_225665, _225667, _225669, _225671]))], (846 ^ _194415) ^ [] : [-(apply(_225669, 834 ^ [_225665, _225667, _225669, _225671], 836 ^ [_225665, _225667, _225669, _225671]))], (848 ^ _194415) ^ [] : [835 ^ [_225665, _225667, _225669, _225671] = 836 ^ [_225665, _225667, _225669, _225671]]], -(equal_maps(_225671, _225669, _225667, _225665))], (807 ^ _194415) ^ [_224803, _224805, _224807, _224809] : [equal_maps(_224809, _224807, _224805, _224803), 810 ^ _194415 : [(811 ^ _194415) ^ [_225016, _225018, _225020] : [member(_225020, _224805), member(_225018, _224803), member(_225016, _224803), -(_225018 = _225016), apply(_224809, _225020, _225018), apply(_224807, _225020, _225016)]]], (862 ^ _194415) ^ [_227123, _227125] : [864 ^ _194415 : [(865 ^ _194415) ^ [] : [-(member(863 ^ [_227123, _227125], _227123))], (867 ^ _194415) ^ [] : [apply(_227125, 863 ^ [_227123, _227125], 863 ^ [_227123, _227125])]], -(identity(_227125, _227123))], (852 ^ _194415) ^ [_226806, _226808] : [identity(_226808, _226806), 855 ^ _194415 : [(856 ^ _194415) ^ [_226944] : [member(_226944, _226806), -(apply(_226808, _226944, _226944))]]], (897 ^ _194415) ^ [_228365, _228367, _228369] : [901 ^ _194415 : [(902 ^ _194415) ^ [] : [-(member(898 ^ [_228365, _228367, _228369], _228367))], (904 ^ _194415) ^ [] : [-(member(899 ^ [_228365, _228367, _228369], _228367))], (906 ^ _194415) ^ [] : [-(member(900 ^ [_228365, _228367, _228369], _228365))], (908 ^ _194415) ^ [] : [-(apply(_228369, 898 ^ [_228365, _228367, _228369], 900 ^ [_228365, _228367, _228369]))], (910 ^ _194415) ^ [] : [-(apply(_228369, 899 ^ [_228365, _228367, _228369], 900 ^ [_228365, _228367, _228369]))], (912 ^ _194415) ^ [] : [898 ^ [_228365, _228367, _228369] = 899 ^ [_228365, _228367, _228369]]], -(injective(_228369, _228367, _228365))], (871 ^ _194415) ^ [_227533, _227535, _227537] : [injective(_227537, _227535, _227533), 874 ^ _194415 : [(875 ^ _194415) ^ [_227740, _227742, _227744] : [member(_227744, _227535), member(_227742, _227535), member(_227740, _227533), -(_227744 = _227742), apply(_227537, _227744, _227740), apply(_227537, _227742, _227740)]]], (916 ^ _194415) ^ [_229454, _229456, _229458] : [surjective(_229458, _229456, _229454), 919 ^ _194415 : [(920 ^ _194415) ^ [_229609] : [member(_229609, _229454), 924 ^ _194415 : [(925 ^ _194415) ^ [] : [-(member(923 ^ [_229454, _229456, _229458, _229609], _229456))], (927 ^ _194415) ^ [] : [-(apply(_229458, 923 ^ [_229454, _229456, _229458, _229609], _229609))]]]]], (929 ^ _194415) ^ [_229962, _229964, _229966] : [-(surjective(_229966, _229964, _229962)), 931 ^ _194415 : [(932 ^ _194415) ^ [] : [-(member(930 ^ [_229962, _229964, _229966], _229962))], (934 ^ _194415) ^ [_230213] : [member(_230213, _229964), apply(_229966, _230213, 930 ^ [_229962, _229964, _229966])]]], (942 ^ _194415) ^ [_230561, _230563, _230565] : [one_to_one(_230565, _230563, _230561), 945 ^ _194415 : [(946 ^ _194415) ^ [] : [-(injective(_230565, _230563, _230561))], (948 ^ _194415) ^ [] : [-(surjective(_230565, _230563, _230561))]]], (950 ^ _194415) ^ [_230812, _230814, _230816] : [-(one_to_one(_230816, _230814, _230812)), injective(_230816, _230814, _230812), surjective(_230816, _230814, _230812)], (984 ^ _194415) ^ [_231970, _231972, _231974, _231976] : [-(inverse_predicate(_231976, _231974, _231972, _231970)), 987 ^ _194415 : [(988 ^ _194415) ^ [] : [-(member(985 ^ [_231970, _231972, _231974, _231976], _231972))], (990 ^ _194415) ^ [] : [-(member(986 ^ [_231970, _231972, _231974, _231976], _231970))], (992 ^ _194415) ^ [] : [993 ^ _194415 : [(994 ^ _194415) ^ [] : [-(apply(_231974, 985 ^ [_231970, _231972, _231974, _231976], 986 ^ [_231970, _231972, _231974, _231976]))], (996 ^ _194415) ^ [] : [apply(_231976, 986 ^ [_231970, _231972, _231974, _231976], 985 ^ [_231970, _231972, _231974, _231976])]], 997 ^ _194415 : [(998 ^ _194415) ^ [] : [-(apply(_231976, 986 ^ [_231970, _231972, _231974, _231976], 985 ^ [_231970, _231972, _231974, _231976]))], (1000 ^ _194415) ^ [] : [apply(_231974, 985 ^ [_231970, _231972, _231974, _231976], 986 ^ [_231970, _231972, _231974, _231976])]]]]], (960 ^ _194415) ^ [_231186, _231188, _231190, _231192] : [inverse_predicate(_231192, _231190, _231188, _231186), 963 ^ _194415 : [(964 ^ _194415) ^ [_231368, _231370] : [member(_231370, _231188), member(_231368, _231186), 971 ^ _194415 : [(972 ^ _194415) ^ [] : [apply(_231190, _231370, _231368), -(apply(_231192, _231368, _231370))], (978 ^ _194415) ^ [] : [apply(_231192, _231368, _231370), -(apply(_231190, _231370, _231368))]]]]], (1004 ^ _194415) ^ [_232961, _232963, _232965, _232967, _232969] : [member(_232963, _232967), member(_232961, _232965), 1011 ^ _194415 : [(1012 ^ _194415) ^ [] : [apply(_232969, _232963, _232961), -(apply(inverse_function(_232969, _232967, _232965), _232961, _232963))], (1018 ^ _194415) ^ [] : [apply(inverse_function(_232969, _232967, _232965), _232961, _232963), -(apply(_232969, _232963, _232961))]]], (1024 ^ _194415) ^ [_233633, _233635, _233637] : [member(_233633, image2(_233637, _233635)), 1028 ^ _194415 : [(1029 ^ _194415) ^ [] : [-(member(1027 ^ [_233633, _233635, _233637], _233635))], (1031 ^ _194415) ^ [] : [-(apply(_233637, 1027 ^ [_233633, _233635, _233637], _233633))]]], (1033 ^ _194415) ^ [_233965, _233967, _233969] : [-(member(_233965, image2(_233969, _233967))), 1034 ^ _194415 : [(1035 ^ _194415) ^ [_234063] : [member(_234063, _233967), apply(_233969, _234063, _233965)]]], (1043 ^ _194415) ^ [_234407, _234409, _234411, _234413] : [member(_234407, image3(_234413, _234411, _234409)), 1046 ^ _194415 : [(1047 ^ _194415) ^ [] : [-(member(_234407, _234409))], (1050 ^ _194415) ^ [] : [-(member(1048 ^ [_234407, _234409, _234411, _234413], _234411))], (1052 ^ _194415) ^ [] : [-(apply(_234413, 1048 ^ [_234407, _234409, _234411, _234413], _234407))]]], (1054 ^ _194415) ^ [_234835, _234837, _234839, _234841] : [-(member(_234835, image3(_234841, _234839, _234837))), member(_234835, _234837), 1059 ^ _194415 : [(1060 ^ _194415) ^ [_235029] : [member(_235029, _234839), apply(_234841, _235029, _234835)]]], (1068 ^ _194415) ^ [_235374, _235376, _235378] : [member(_235374, inverse_image2(_235378, _235376)), 1072 ^ _194415 : [(1073 ^ _194415) ^ [] : [-(member(1071 ^ [_235374, _235376, _235378], _235376))], (1075 ^ _194415) ^ [] : [-(apply(_235378, _235374, 1071 ^ [_235374, _235376, _235378]))]]], (1077 ^ _194415) ^ [_235706, _235708, _235710] : [-(member(_235706, inverse_image2(_235710, _235708))), 1078 ^ _194415 : [(1079 ^ _194415) ^ [_235804] : [member(_235804, _235708), apply(_235710, _235706, _235804)]]], (1087 ^ _194415) ^ [_236148, _236150, _236152, _236154] : [member(_236148, inverse_image3(_236154, _236152, _236150)), 1090 ^ _194415 : [(1091 ^ _194415) ^ [] : [-(member(_236148, _236150))], (1094 ^ _194415) ^ [] : [-(member(1092 ^ [_236148, _236150, _236152, _236154], _236152))], (1096 ^ _194415) ^ [] : [-(apply(_236154, _236148, 1092 ^ [_236148, _236150, _236152, _236154]))]]], (1098 ^ _194415) ^ [_236576, _236578, _236580, _236582] : [-(member(_236576, inverse_image3(_236582, _236580, _236578))), member(_236576, _236578), 1103 ^ _194415 : [(1104 ^ _194415) ^ [_236770] : [member(_236770, _236580), apply(_236582, _236576, _236770)]]], (1146 ^ _194415) ^ [_238324, _238326, _238328, _238330, _238332] : [1151 ^ _194415 : [(1152 ^ _194415) ^ [] : [-(member(1147 ^ [_238324, _238326, _238328, _238330, _238332], _238330))], (1154 ^ _194415) ^ [] : [-(member(1148 ^ [_238324, _238326, _238328, _238330, _238332], _238326))], (1156 ^ _194415) ^ [] : [-(member(1149 ^ [_238324, _238326, _238328, _238330, _238332], _238330))], (1158 ^ _194415) ^ [] : [-(member(1150 ^ [_238324, _238326, _238328, _238330, _238332], _238326))], (1160 ^ _194415) ^ [] : [-(apply(_238328, 1147 ^ [_238324, _238326, _238328, _238330, _238332], 1149 ^ [_238324, _238326, _238328, _238330, _238332]))], (1162 ^ _194415) ^ [] : [-(apply(_238332, 1147 ^ [_238324, _238326, _238328, _238330, _238332], 1148 ^ [_238324, _238326, _238328, _238330, _238332]))], (1164 ^ _194415) ^ [] : [-(apply(_238332, 1149 ^ [_238324, _238326, _238328, _238330, _238332], 1150 ^ [_238324, _238326, _238328, _238330, _238332]))], (1166 ^ _194415) ^ [] : [apply(_238324, 1148 ^ [_238324, _238326, _238328, _238330, _238332], 1150 ^ [_238324, _238326, _238328, _238330, _238332])]], -(increasing(_238332, _238330, _238328, _238326, _238324))], (1112 ^ _194415) ^ [_237143, _237145, _237147, _237149, _237151] : [increasing(_237151, _237149, _237147, _237145, _237143), 1115 ^ _194415 : [(1116 ^ _194415) ^ [_237395, _237397, _237399, _237401] : [-(apply(_237143, _237399, _237395)), member(_237401, _237149), member(_237399, _237145), member(_237397, _237149), member(_237395, _237145), apply(_237147, _237401, _237397), apply(_237151, _237401, _237399), apply(_237151, _237397, _237395)]]], (1204 ^ _194415) ^ [_241245, _241247, _241249, _241251, _241253] : [1209 ^ _194415 : [(1210 ^ _194415) ^ [] : [-(member(1205 ^ [_241245, _241247, _241249, _241251, _241253], _241251))], (1212 ^ _194415) ^ [] : [-(member(1206 ^ [_241245, _241247, _241249, _241251, _241253], _241247))], (1214 ^ _194415) ^ [] : [-(member(1207 ^ [_241245, _241247, _241249, _241251, _241253], _241251))], (1216 ^ _194415) ^ [] : [-(member(1208 ^ [_241245, _241247, _241249, _241251, _241253], _241247))], (1218 ^ _194415) ^ [] : [-(apply(_241249, 1205 ^ [_241245, _241247, _241249, _241251, _241253], 1207 ^ [_241245, _241247, _241249, _241251, _241253]))], (1220 ^ _194415) ^ [] : [-(apply(_241253, 1205 ^ [_241245, _241247, _241249, _241251, _241253], 1206 ^ [_241245, _241247, _241249, _241251, _241253]))], (1222 ^ _194415) ^ [] : [-(apply(_241253, 1207 ^ [_241245, _241247, _241249, _241251, _241253], 1208 ^ [_241245, _241247, _241249, _241251, _241253]))], (1224 ^ _194415) ^ [] : [apply(_241245, 1208 ^ [_241245, _241247, _241249, _241251, _241253], 1206 ^ [_241245, _241247, _241249, _241251, _241253])]], -(decreasing(_241253, _241251, _241249, _241247, _241245))], (1170 ^ _194415) ^ [_240064, _240066, _240068, _240070, _240072] : [decreasing(_240072, _240070, _240068, _240066, _240064), 1173 ^ _194415 : [(1174 ^ _194415) ^ [_240316, _240318, _240320, _240322] : [-(apply(_240064, _240316, _240320)), member(_240322, _240070), member(_240320, _240066), member(_240318, _240070), member(_240316, _240066), apply(_240068, _240322, _240318), apply(_240072, _240322, _240320), apply(_240072, _240318, _240316)]]], (1272 ^ _194415) ^ [_244515, _244517, _244519, _244521, _244523] : [-(isomorphism(_244523, _244521, _244519, _244517, _244515)), maps(_244523, _244521, _244517), one_to_one(_244523, _244521, _244517), 1285 ^ _194415 : [(1286 ^ _194415) ^ [] : [-(member(1281 ^ [_244515, _244517, _244519, _244521, _244523], _244521))], (1288 ^ _194415) ^ [] : [-(member(1282 ^ [_244515, _244517, _244519, _244521, _244523], _244517))], (1290 ^ _194415) ^ [] : [-(member(1283 ^ [_244515, _244517, _244519, _244521, _244523], _244521))], (1292 ^ _194415) ^ [] : [-(member(1284 ^ [_244515, _244517, _244519, _244521, _244523], _244517))], (1294 ^ _194415) ^ [] : [-(apply(_244523, 1281 ^ [_244515, _244517, _244519, _244521, _244523], 1282 ^ [_244515, _244517, _244519, _244521, _244523]))], (1296 ^ _194415) ^ [] : [-(apply(_244523, 1283 ^ [_244515, _244517, _244519, _244521, _244523], 1284 ^ [_244515, _244517, _244519, _244521, _244523]))], (1298 ^ _194415) ^ [] : [1299 ^ _194415 : [(1300 ^ _194415) ^ [] : [-(apply(_244519, 1281 ^ [_244515, _244517, _244519, _244521, _244523], 1283 ^ [_244515, _244517, _244519, _244521, _244523]))], (1302 ^ _194415) ^ [] : [apply(_244515, 1282 ^ [_244515, _244517, _244519, _244521, _244523], 1284 ^ [_244515, _244517, _244519, _244521, _244523])]], 1303 ^ _194415 : [(1304 ^ _194415) ^ [] : [-(apply(_244515, 1282 ^ [_244515, _244517, _244519, _244521, _244523], 1284 ^ [_244515, _244517, _244519, _244521, _244523]))], (1306 ^ _194415) ^ [] : [apply(_244519, 1281 ^ [_244515, _244517, _244519, _244521, _244523], 1283 ^ [_244515, _244517, _244519, _244521, _244523])]]]]], (1228 ^ _194415) ^ [_242965, _242967, _242969, _242971, _242973] : [isomorphism(_242973, _242971, _242969, _242967, _242965), 1231 ^ _194415 : [(1232 ^ _194415) ^ [] : [-(maps(_242973, _242971, _242967))], (1234 ^ _194415) ^ [] : [-(one_to_one(_242973, _242971, _242967))], (1236 ^ _194415) ^ [_243377, _243379, _243381, _243383] : [1259 ^ _194415 : [(1260 ^ _194415) ^ [] : [apply(_242969, _243383, _243379), -(apply(_242965, _243381, _243377))], (1266 ^ _194415) ^ [] : [apply(_242965, _243381, _243377), -(apply(_242969, _243383, _243379))]], member(_243383, _242971), member(_243381, _242967), member(_243379, _242971), member(_243377, _242967), apply(_242973, _243383, _243381), apply(_242973, _243379, _243377)]]]], input).
% 10.68/10.68  ncf('1',plain,[surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])],start(1321 ^ 0)).
% 10.68/10.68  ncf('1.1',plain,[-(surjective(1310 ^ [], 1312 ^ [], 1313 ^ [])), 934 : member(785 ^ [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ []), 934 : apply(1310 ^ [], 785 ^ [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])],extension(929 ^ 1,bind([[_229962, _229964, _229966, _230213], [1313 ^ [], 1312 ^ [], 1310 ^ [], 785 ^ [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.1',plain,[-(member(785 ^ [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 1312 ^ [])), 782 : apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]), 782 : member(923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ []), 782 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])],extension(774 ^ 4,bind([[_223478, _223480, _223482, _223484, _223486, _223488, _223490], [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []]]))).
% 10.68/10.68  ncf('1.1.1.1',plain,[-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 920 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 920 : surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])],extension(916 ^ 7,bind([[_229454, _229456, _229458, _229609], [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.1.1.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 10)).
% 10.68/10.68  ncf('1.1.1.1.2',plain,[-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))],extension(1319 ^ 8)).
% 10.68/10.68  ncf('1.1.1.2',plain,[-(member(923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 920 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 920 : surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])],extension(916 ^ 5,bind([[_229454, _229456, _229458, _229609], [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.1.2.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 8)).
% 10.68/10.68  ncf('1.1.1.2.2',plain,[-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))],extension(1319 ^ 6)).
% 10.68/10.68  ncf('1.1.1.3',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []],extension(250 ^ 5,bind([[_203502, _203504, _203506, _203508], [1313 ^ [], 1313 ^ [], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.1.3.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 6)).
% 10.68/10.68  ncf('1.1.1.3.2',plain,[-(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])],extension(2 ^ 6,bind([[_194559], [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.1.3.3',plain,[-(1313 ^ [] = 1313 ^ [])],extension(2 ^ 6,bind([[_194559], [1313 ^ []]]))).
% 10.68/10.68  ncf('1.1.2',plain,[-(apply(1310 ^ [], 785 ^ [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 782 : apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]), 782 : member(923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ []), 782 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])],extension(774 ^ 4,bind([[_223478, _223480, _223482, _223484, _223486, _223488, _223490], [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1313 ^ [], 1312 ^ [], 1311 ^ [], 1309 ^ [], 1310 ^ []]]))).
% 10.68/10.68  ncf('1.1.2.1',plain,[-(apply(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])), 920 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 920 : surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])],extension(916 ^ 7,bind([[_229454, _229456, _229458, _229609], [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.2.1.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 10)).
% 10.68/10.68  ncf('1.1.2.1.2',plain,[-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))],extension(1319 ^ 8)).
% 10.68/10.68  ncf('1.1.2.2',plain,[-(member(923 ^ [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]], 1311 ^ [])), 920 : member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 920 : surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ [])],extension(916 ^ 5,bind([[_229454, _229456, _229458, _229609], [1313 ^ [], 1311 ^ [], compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.2.2.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 8)).
% 10.68/10.68  ncf('1.1.2.2.2',plain,[-(surjective(compose_function(1310 ^ [], 1309 ^ [], 1311 ^ [], 1312 ^ [], 1313 ^ []), 1311 ^ [], 1313 ^ []))],extension(1319 ^ 6)).
% 10.68/10.68  ncf('1.1.2.3',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [])), member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []), 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ [] = 1313 ^ []],extension(250 ^ 5,bind([[_203502, _203504, _203506, _203508], [1313 ^ [], 1313 ^ [], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.2.3.1',plain,[-(member(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []], 1313 ^ []))],extension(932 ^ 6)).
% 10.68/10.68  ncf('1.1.2.3.2',plain,[-(930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []] = 930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []])],extension(2 ^ 6,bind([[_194559], [930 ^ [1313 ^ [], 1312 ^ [], 1310 ^ []]]]))).
% 10.68/10.68  ncf('1.1.2.3.3',plain,[-(1313 ^ [] = 1313 ^ [])],extension(2 ^ 6,bind([[_194559], [1313 ^ []]]))).
% 10.68/10.68  %-----------------------------------------------------
% 10.68/10.68  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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