TSTP Solution File: SET715+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET715+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 224.79s 216.89s
% Output   : Proof 224.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET715+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 19:09:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 224.79/216.89  
% 224.79/216.89  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 224.79/216.89  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 224.79/216.89  %-----------------------------------------------------
% 224.79/216.89  ncf(matrix, plain, [(1315 ^ _257431) ^ [] : [-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))], (1317 ^ _257431) ^ [] : [identity(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [])], (1313 ^ _257431) ^ [] : [-(maps(1309 ^ [], 1310 ^ [], 1311 ^ []))], !, (20 ^ _204900) ^ [_205676, _205678, _205680, _205682] : [-(equal_set(_205680, _205676)), equal_set(_205682, _205678), _205682 = _205680, _205678 = _205676], (485 ^ _204900) ^ [_222507, _222509] : [equal_set(_222509, _222507), 488 ^ _204900 : [(491 ^ _204900) ^ [] : [-(subset(_222507, _222509))], (489 ^ _204900) ^ [] : [-(subset(_222509, _222507))]]], (942 ^ _204900) ^ [_241026, _241028, _241030] : [one_to_one(_241030, _241028, _241026), 945 ^ _204900 : [(948 ^ _204900) ^ [] : [-(surjective(_241030, _241028, _241026))], (946 ^ _204900) ^ [] : [-(injective(_241030, _241028, _241026))]]], (601 ^ _204900) ^ [_226421, _226423] : [member(_226423, sum(_226421)), 605 ^ _204900 : [(608 ^ _204900) ^ [] : [-(member(_226423, 604 ^ [_226421, _226423]))], (606 ^ _204900) ^ [] : [-(member(604 ^ [_226421, _226423], _226421))]]], (984 ^ _204900) ^ [_242435, _242437, _242439, _242441] : [-(inverse_predicate(_242441, _242439, _242437, _242435)), 987 ^ _204900 : [(990 ^ _204900) ^ [] : [-(member(986 ^ [_242435, _242437, _242439, _242441], _242435))], (992 ^ _204900) ^ [] : [993 ^ _204900 : [(996 ^ _204900) ^ [] : [apply(_242441, 986 ^ [_242435, _242437, _242439, _242441], 985 ^ [_242435, _242437, _242439, _242441])], (994 ^ _204900) ^ [] : [-(apply(_242439, 985 ^ [_242435, _242437, _242439, _242441], 986 ^ [_242435, _242437, _242439, _242441]))]], 997 ^ _204900 : [(1000 ^ _204900) ^ [] : [apply(_242439, 985 ^ [_242435, _242437, _242439, _242441], 986 ^ [_242435, _242437, _242439, _242441])], (998 ^ _204900) ^ [] : [-(apply(_242441, 986 ^ [_242435, _242437, _242439, _242441], 985 ^ [_242435, _242437, _242439, _242441]))]]], (988 ^ _204900) ^ [] : [-(member(985 ^ [_242435, _242437, _242439, _242441], _242437))]]], (543 ^ _204900) ^ [_224378, _224380, _224382] : [544 ^ _204900 : [(547 ^ _204900) ^ [] : [member(_224382, _224378)], (545 ^ _204900) ^ [] : [member(_224382, _224380)]], -(member(_224382, union(_224380, _224378)))], (807 ^ _204900) ^ [_235268, _235270, _235272, _235274] : [equal_maps(_235274, _235272, _235270, _235268), 810 ^ _204900 : [(811 ^ _204900) ^ [_235481, _235483, _235485] : [member(_235485, _235270), member(_235483, _235268), member(_235481, _235268), -(_235483 = _235481), apply(_235274, _235485, _235483), apply(_235272, _235485, _235481)]]], (862 ^ _204900) ^ [_237588, _237590] : [864 ^ _204900 : [(867 ^ _204900) ^ [] : [apply(_237590, 863 ^ [_237588, _237590], 863 ^ [_237588, _237590])], (865 ^ _204900) ^ [] : [-(member(863 ^ [_237588, _237590], _237588))]], -(identity(_237590, _237588))], (360 ^ _204900) ^ [_217809, _217811, _217813, _217815] : [-(unordered_pair(_217815, _217811) = unordered_pair(_217813, _217809)), _217815 = _217813, _217811 = _217809], (376 ^ _204900) ^ [_218358, _218360] : [_218360 = _218358, -(product(_218360) = product(_218358))], (523 ^ _204900) ^ [_223750, _223752, _223754] : [-(member(_223754, intersection(_223752, _223750))), member(_223754, _223752), member(_223754, _223750)], (78 ^ _204900) ^ [_207820, _207822, _207824, _207826, _207828, _207830, _207832, _207834] : [-(equal_maps(_207832, _207828, _207824, _207820)), equal_maps(_207834, _207830, _207826, _207822), _207834 = _207832, _207830 = _207828, _207826 = _207824, _207822 = _207820], (630 ^ _204900) ^ [_227427, _227429] : [632 ^ _204900 : [(635 ^ _204900) ^ [] : [member(_227429, 631 ^ [_227427, _227429])], (633 ^ _204900) ^ [] : [-(member(631 ^ [_227427, _227429], _227427))]], -(member(_227429, product(_227427)))], (639 ^ _204900) ^ [_227869, _227871, _227873] : [maps(_227873, _227871, _227869), 642 ^ _204900 : [(652 ^ _204900) ^ [_228487, _228489, _228491] : [member(_228491, _227871), member(_228489, _227869), member(_228487, _227869), -(_228489 = _228487), apply(_227873, _228491, _228489), apply(_227873, _228491, _228487)], (643 ^ _204900) ^ [_228097] : [member(_228097, _227871), 647 ^ _204900 : [(650 ^ _204900) ^ [] : [-(apply(_227873, _228097, 646 ^ [_227869, _227871, _227873, _228097]))], (648 ^ _204900) ^ [] : [-(member(646 ^ [_227869, _227871, _227873, _228097], _227869))]]]]], (1204 ^ _204900) ^ [_251710, _251712, _251714, _251716, _251718] : [1209 ^ _204900 : [(1224 ^ _204900) ^ [] : [apply(_251710, 1208 ^ [_251710, _251712, _251714, _251716, _251718], 1206 ^ [_251710, _251712, _251714, _251716, _251718])], (1218 ^ _204900) ^ [] : [-(apply(_251714, 1205 ^ [_251710, _251712, _251714, _251716, _251718], 1207 ^ [_251710, _251712, _251714, _251716, _251718]))], (1220 ^ _204900) ^ [] : [-(apply(_251718, 1205 ^ [_251710, _251712, _251714, _251716, _251718], 1206 ^ [_251710, _251712, _251714, _251716, _251718]))], (1222 ^ _204900) ^ [] : [-(apply(_251718, 1207 ^ [_251710, _251712, _251714, _251716, _251718], 1208 ^ [_251710, _251712, _251714, _251716, _251718]))], (1214 ^ _204900) ^ [] : [-(member(1207 ^ [_251710, _251712, _251714, _251716, _251718], _251716))], (1212 ^ _204900) ^ [] : [-(member(1206 ^ [_251710, _251712, _251714, _251716, _251718], _251712))], (1210 ^ _204900) ^ [] : [-(member(1205 ^ [_251710, _251712, _251714, _251716, _251718], _251716))], (1216 ^ _204900) ^ [] : [-(member(1208 ^ [_251710, _251712, _251714, _251716, _251718], _251712))]], -(decreasing(_251718, _251716, _251714, _251712, _251710))], (503 ^ _204900) ^ [_223074, _223076] : [member(_223076, power_set(_223074)), -(subset(_223076, _223074))], (286 ^ _204900) ^ [_215213, _215215, _215217, _215219, _215221, _215223] : [-(one_to_one(_215221, _215217, _215213)), one_to_one(_215223, _215219, _215215), _215223 = _215221, _215219 = _215217, _215215 = _215213], (1228 ^ _204900) ^ [_253430, _253432, _253434, _253436, _253438] : [isomorphism(_253438, _253436, _253434, _253432, _253430), 1231 ^ _204900 : [(1234 ^ _204900) ^ [] : [-(one_to_one(_253438, _253436, _253432))], (1236 ^ _204900) ^ [_253842, _253844, _253846, _253848] : [1259 ^ _204900 : [(1266 ^ _204900) ^ [] : [apply(_253430, _253846, _253842), -(apply(_253434, _253848, _253844))], (1260 ^ _204900) ^ [] : [apply(_253434, _253848, _253844), -(apply(_253430, _253846, _253842))]], member(_253848, _253436), member(_253846, _253432), member(_253844, _253436), member(_253842, _253432), apply(_253438, _253848, _253846), apply(_253438, _253844, _253842)], (1232 ^ _204900) ^ [] : [-(maps(_253438, _253436, _253432))]]], (1054 ^ _204900) ^ [_245300, _245302, _245304, _245306] : [-(member(_245300, image3(_245306, _245304, _245302))), member(_245300, _245302), 1059 ^ _204900 : [(1060 ^ _204900) ^ [_245494] : [member(_245494, _245304), apply(_245306, _245494, _245300)]]], (392 ^ _204900) ^ [_218991, _218993, _218995, _218997, _218999, _219001] : [-(image3(_219001, _218997, _218993) = image3(_218999, _218995, _218991)), _219001 = _218999, _218997 = _218995, _218993 = _218991], (416 ^ _204900) ^ [_219866, _219868, _219870, _219872, _219874, _219876] : [-(inverse_image3(_219876, _219872, _219868) = inverse_image3(_219874, _219870, _219866)), _219876 = _219874, _219872 = _219870, _219868 = _219866], (1098 ^ _204900) ^ [_247041, _247043, _247045, _247047] : [-(member(_247041, inverse_image3(_247047, _247045, _247043))), member(_247041, _247043), 1103 ^ _204900 : [(1104 ^ _204900) ^ [_247235] : [member(_247235, _247045), apply(_247047, _247041, _247235)]]], (897 ^ _204900) ^ [_238830, _238832, _238834] : [901 ^ _204900 : [(910 ^ _204900) ^ [] : [-(apply(_238834, 899 ^ [_238830, _238832, _238834], 900 ^ [_238830, _238832, _238834]))], (906 ^ _204900) ^ [] : [-(member(900 ^ [_238830, _238832, _238834], _238830))], (908 ^ _204900) ^ [] : [-(apply(_238834, 898 ^ [_238830, _238832, _238834], 900 ^ [_238830, _238832, _238834]))], (912 ^ _204900) ^ [] : [898 ^ [_238830, _238832, _238834] = 899 ^ [_238830, _238832, _238834]], (902 ^ _204900) ^ [] : [-(member(898 ^ [_238830, _238832, _238834], _238832))], (904 ^ _204900) ^ [] : [-(member(899 ^ [_238830, _238832, _238834], _238832))]], -(injective(_238834, _238832, _238830))], (136 ^ _204900) ^ [_209828, _209830, _209832, _209834, _209836, _209838, _209840, _209842] : [-(inverse_predicate(_209840, _209836, _209832, _209828)), inverse_predicate(_209842, _209838, _209834, _209830), _209842 = _209840, _209838 = _209836, _209834 = _209832, _209830 = _209828], (515 ^ _204900) ^ [_223499, _223501, _223503] : [member(_223503, intersection(_223501, _223499)), 518 ^ _204900 : [(521 ^ _204900) ^ [] : [-(member(_223503, _223499))], (519 ^ _204900) ^ [] : [-(member(_223503, _223501))]]], (583 ^ _204900) ^ [_225824, _225826, _225828] : [member(_225828, unordered_pair(_225826, _225824)), -(_225828 = _225826), -(_225828 = _225824)], (852 ^ _204900) ^ [_237271, _237273] : [identity(_237273, _237271), 855 ^ _204900 : [(856 ^ _204900) ^ [_237409] : [member(_237409, _237271), -(apply(_237273, _237409, _237409))]]], (304 ^ _204900) ^ [_215774, _215776, _215778, _215780] : [-(identity(_215778, _215774)), identity(_215780, _215776), _215780 = _215778, _215776 = _215774], (929 ^ _204900) ^ [_240427, _240429, _240431] : [-(surjective(_240431, _240429, _240427)), 931 ^ _204900 : [(934 ^ _204900) ^ [_240678] : [member(_240678, _240429), apply(_240431, _240678, 930 ^ [_240427, _240429, _240431])], (932 ^ _204900) ^ [] : [-(member(930 ^ [_240427, _240429, _240431], _240427))]]], (1043 ^ _204900) ^ [_244872, _244874, _244876, _244878] : [member(_244872, image3(_244878, _244876, _244874)), 1046 ^ _204900 : [(1050 ^ _204900) ^ [] : [-(member(1048 ^ [_244872, _244874, _244876, _244878], _244876))], (1052 ^ _204900) ^ [] : [-(apply(_244878, 1048 ^ [_244872, _244874, _244876, _244878], _244872))], (1047 ^ _204900) ^ [] : [-(member(_244872, _244874))]]], (318 ^ _204900) ^ [_216268, _216270] : [_216270 = _216268, -(power_set(_216270) = power_set(_216268))], (10 ^ _204900) ^ [_205335, _205337, _205339] : [-(_205339 = _205335), _205339 = _205337, _205337 = _205335], (250 ^ _204900) ^ [_213995, _213997, _213999, _214001, _214003, _214005] : [-(apply(_214003, _213999, _213995)), apply(_214005, _214001, _213997), _214005 = _214003, _214001 = _213999, _213997 = _213995], (577 ^ _204900) ^ [_225565, _225567] : [_225567 = _225565, -(member(_225567, singleton(_225565)))], (553 ^ _204900) ^ [_224798, _224800, _224802] : [member(_224802, difference(_224798, _224800)), 556 ^ _204900 : [(559 ^ _204900) ^ [] : [member(_224802, _224800)], (557 ^ _204900) ^ [] : [-(member(_224802, _224798))]]], (571 ^ _204900) ^ [_225399, _225401] : [member(_225401, singleton(_225399)), -(_225401 = _225399)], (334 ^ _204900) ^ [_216873, _216875, _216877, _216879] : [-(union(_216879, _216875) = union(_216877, _216873)), _216879 = _216877, _216875 = _216873], (344 ^ _204900) ^ [_217232, _217234, _217236, _217238] : [-(difference(_217238, _217234) = difference(_217236, _217232)), _217238 = _217236, _217234 = _217232], (430 ^ _204900) ^ [_220438, _220440, _220442, _220444, _220446, _220448, _220450, _220452, _220454, _220456] : [-(compose_function(_220456, _220452, _220448, _220444, _220440) = compose_function(_220454, _220450, _220446, _220442, _220438)), _220456 = _220454, _220452 = _220450, _220448 = _220446, _220444 = _220442, _220440 = _220438], (1004 ^ _204900) ^ [_243426, _243428, _243430, _243432, _243434] : [member(_243428, _243432), member(_243426, _243430), 1011 ^ _204900 : [(1018 ^ _204900) ^ [] : [apply(inverse_function(_243434, _243432, _243430), _243426, _243428), -(apply(_243434, _243428, _243426))], (1012 ^ _204900) ^ [] : [apply(_243434, _243428, _243426), -(apply(inverse_function(_243434, _243432, _243430), _243426, _243428))]]], (100 ^ _204900) ^ [_208582, _208584, _208586, _208588, _208590, _208592] : [-(injective(_208590, _208586, _208582)), injective(_208592, _208588, _208584), _208592 = _208590, _208588 = _208586, _208584 = _208582], (1068 ^ _204900) ^ [_245839, _245841, _245843] : [member(_245839, inverse_image2(_245843, _245841)), 1072 ^ _204900 : [(1075 ^ _204900) ^ [] : [-(apply(_245843, _245839, 1071 ^ [_245839, _245841, _245843]))], (1073 ^ _204900) ^ [] : [-(member(1071 ^ [_245839, _245841, _245843], _245841))]]], (184 ^ _204900) ^ [_211633, _211635, _211637, _211639, _211641, _211643, _211645, _211647, _211649, _211651] : [-(decreasing(_211649, _211645, _211641, _211637, _211633)), decreasing(_211651, _211647, _211643, _211639, _211635), _211651 = _211649, _211647 = _211645, _211643 = _211641, _211639 = _211637, _211635 = _211633], (48 ^ _204900) ^ [_206676, _206678, _206680, _206682, _206684, _206686, _206688, _206690, _206692, _206694, _206696, _206698] : [-(compose_predicate(_206696, _206692, _206688, _206684, _206680, _206676)), compose_predicate(_206698, _206694, _206690, _206686, _206682, _206678), _206698 = _206696, _206694 = _206692, _206690 = _206688, _206686 = _206684, _206682 = _206680, _206678 = _206676], (236 ^ _204900) ^ [_213523, _213525, _213527, _213529] : [-(member(_213527, _213523)), member(_213529, _213525), _213529 = _213527, _213525 = _213523], (593 ^ _204900) ^ [_226092, _226094, _226096] : [594 ^ _204900 : [(597 ^ _204900) ^ [] : [_226096 = _226092], (595 ^ _204900) ^ [] : [_226096 = _226094]], -(member(_226096, unordered_pair(_226094, _226092)))], (476 ^ _204900) ^ [_222121, _222123] : [478 ^ _204900 : [(481 ^ _204900) ^ [] : [member(477 ^ [_222121, _222123], _222121)], (479 ^ _204900) ^ [] : [-(member(477 ^ [_222121, _222123], _222123))]], -(subset(_222123, _222121))], (741 ^ _204900) ^ [_232149, _232151, _232153, _232155, _232157, _232159] : [-(compose_predicate(_232159, _232157, _232155, _232153, _232151, _232149)), 744 ^ _204900 : [(747 ^ _204900) ^ [] : [-(member(743 ^ [_232149, _232151, _232153, _232155, _232157, _232159], _232149))], (749 ^ _204900) ^ [] : [763 ^ _204900 : [(764 ^ _204900) ^ [] : [-(member(762 ^ [_232149, _232151, _232153, _232155, _232157, _232159], _232151))], (766 ^ _204900) ^ [] : [-(apply(_232155, 742 ^ [_232149, _232151, _232153, _232155, _232157, _232159], 762 ^ [_232149, _232151, _232153, _232155, _232157, _232159]))], (770 ^ _204900) ^ [] : [apply(_232159, 742 ^ [_232149, _232151, _232153, _232155, _232157, _232159], 743 ^ [_232149, _232151, _232153, _232155, _232157, _232159])], (768 ^ _204900) ^ [] : [-(apply(_232157, 762 ^ [_232149, _232151, _232153, _232155, _232157, _232159], 743 ^ [_232149, _232151, _232153, _232155, _232157, _232159]))]], 750 ^ _204900 : [(753 ^ _204900) ^ [_232874] : [member(_232874, _232151), apply(_232155, 742 ^ [_232149, _232151, _232153, _232155, _232157, _232159], _232874), apply(_232157, _232874, 743 ^ [_232149, _232151, _232153, _232155, _232157, _232159])], (751 ^ _204900) ^ [] : [-(apply(_232159, 742 ^ [_232149, _232151, _232153, _232155, _232157, _232159], 743 ^ [_232149, _232151, _232153, _232155, _232157, _232159]))]]], (745 ^ _204900) ^ [] : [-(member(742 ^ [_232149, _232151, _232153, _232155, _232157, _232159], _232153))]]], (950 ^ _204900) ^ [_241277, _241279, _241281] : [-(one_to_one(_241281, _241279, _241277)), injective(_241281, _241279, _241277), surjective(_241281, _241279, _241277)], (533 ^ _204900) ^ [_224110, _224112, _224114] : [member(_224114, union(_224112, _224110)), -(member(_224114, _224112)), -(member(_224114, _224110))], (452 ^ _204900) ^ [_221240, _221242, _221244, _221246, _221248, _221250] : [-(inverse_function(_221250, _221246, _221242) = inverse_function(_221248, _221244, _221240)), _221250 = _221248, _221246 = _221244, _221242 = _221240], (551 ^ _204900) ^ [_224648] : [member(_224648, empty_set)], (1024 ^ _204900) ^ [_244098, _244100, _244102] : [member(_244098, image2(_244102, _244100)), 1028 ^ _204900 : [(1031 ^ _204900) ^ [] : [-(apply(_244102, 1027 ^ [_244098, _244100, _244102], _244098))], (1029 ^ _204900) ^ [] : [-(member(1027 ^ [_244098, _244100, _244102], _244100))]]], (1146 ^ _204900) ^ [_248789, _248791, _248793, _248795, _248797] : [1151 ^ _204900 : [(1166 ^ _204900) ^ [] : [apply(_248789, 1148 ^ [_248789, _248791, _248793, _248795, _248797], 1150 ^ [_248789, _248791, _248793, _248795, _248797])], (1160 ^ _204900) ^ [] : [-(apply(_248793, 1147 ^ [_248789, _248791, _248793, _248795, _248797], 1149 ^ [_248789, _248791, _248793, _248795, _248797]))], (1162 ^ _204900) ^ [] : [-(apply(_248797, 1147 ^ [_248789, _248791, _248793, _248795, _248797], 1148 ^ [_248789, _248791, _248793, _248795, _248797]))], (1164 ^ _204900) ^ [] : [-(apply(_248797, 1149 ^ [_248789, _248791, _248793, _248795, _248797], 1150 ^ [_248789, _248791, _248793, _248795, _248797]))], (1156 ^ _204900) ^ [] : [-(member(1149 ^ [_248789, _248791, _248793, _248795, _248797], _248795))], (1154 ^ _204900) ^ [] : [-(member(1148 ^ [_248789, _248791, _248793, _248795, _248797], _248791))], (1152 ^ _204900) ^ [] : [-(member(1147 ^ [_248789, _248791, _248793, _248795, _248797], _248795))], (1158 ^ _204900) ^ [] : [-(member(1150 ^ [_248789, _248791, _248793, _248795, _248797], _248791))]], -(increasing(_248797, _248795, _248793, _248791, _248789))], (493 ^ _204900) ^ [_222744, _222746] : [-(equal_set(_222746, _222744)), subset(_222746, _222744), subset(_222744, _222746)], (370 ^ _204900) ^ [_218140, _218142] : [_218142 = _218140, -(sum(_218142) = sum(_218140))], (704 ^ _204900) ^ [_230674, _230676, _230678, _230680, _230682, _230684] : [compose_predicate(_230684, _230682, _230680, _230678, _230676, _230674), 707 ^ _204900 : [(708 ^ _204900) ^ [_230886, _230888] : [member(_230888, _230678), member(_230886, _230674), 715 ^ _204900 : [(727 ^ _204900) ^ [] : [-(apply(_230684, _230888, _230886)), 728 ^ _204900 : [(729 ^ _204900) ^ [_231731] : [member(_231731, _230676), apply(_230680, _230888, _231731), apply(_230682, _231731, _230886)]]], (716 ^ _204900) ^ [] : [apply(_230684, _230888, _230886), 720 ^ _204900 : [(723 ^ _204900) ^ [] : [-(apply(_230680, _230888, 719 ^ [_230674, _230676, _230678, _230680, _230682, _230684, _230886, _230888]))], (725 ^ _204900) ^ [] : [-(apply(_230682, 719 ^ [_230674, _230676, _230678, _230680, _230682, _230684, _230886, _230888], _230886))], (721 ^ _204900) ^ [] : [-(member(719 ^ [_230674, _230676, _230678, _230680, _230682, _230684, _230886, _230888], _230676))]]]]]]], (2 ^ _204900) ^ [_205024] : [-(_205024 = _205024)], (268 ^ _204900) ^ [_214604, _214606, _214608, _214610, _214612, _214614] : [-(maps(_214612, _214608, _214604)), maps(_214614, _214610, _214606), _214614 = _214612, _214610 = _214608, _214606 = _214604], (1112 ^ _204900) ^ [_247608, _247610, _247612, _247614, _247616] : [increasing(_247616, _247614, _247612, _247610, _247608), 1115 ^ _204900 : [(1116 ^ _204900) ^ [_247860, _247862, _247864, _247866] : [-(apply(_247608, _247864, _247860)), member(_247866, _247614), member(_247864, _247610), member(_247862, _247614), member(_247860, _247610), apply(_247612, _247866, _247862), apply(_247616, _247866, _247864), apply(_247616, _247862, _247860)]]], (1077 ^ _204900) ^ [_246171, _246173, _246175] : [-(member(_246171, inverse_image2(_246175, _246173))), 1078 ^ _204900 : [(1079 ^ _204900) ^ [_246269] : [member(_246269, _246173), apply(_246175, _246171, _246269)]]], (561 ^ _204900) ^ [_225050, _225052, _225054] : [-(member(_225054, difference(_225050, _225052))), member(_225054, _225050), -(member(_225054, _225052))], (406 ^ _204900) ^ [_219479, _219481, _219483, _219485] : [-(inverse_image2(_219485, _219481) = inverse_image2(_219483, _219479)), _219485 = _219483, _219481 = _219479], (1272 ^ _204900) ^ [_254980, _254982, _254984, _254986, _254988] : [-(isomorphism(_254988, _254986, _254984, _254982, _254980)), maps(_254988, _254986, _254982), one_to_one(_254988, _254986, _254982), 1285 ^ _204900 : [(1294 ^ _204900) ^ [] : [-(apply(_254988, 1281 ^ [_254980, _254982, _254984, _254986, _254988], 1282 ^ [_254980, _254982, _254984, _254986, _254988]))], (1290 ^ _204900) ^ [] : [-(member(1283 ^ [_254980, _254982, _254984, _254986, _254988], _254986))], (1292 ^ _204900) ^ [] : [-(member(1284 ^ [_254980, _254982, _254984, _254986, _254988], _254982))], (1286 ^ _204900) ^ [] : [-(member(1281 ^ [_254980, _254982, _254984, _254986, _254988], _254986))], (1298 ^ _204900) ^ [] : [1299 ^ _204900 : [(1302 ^ _204900) ^ [] : [apply(_254980, 1282 ^ [_254980, _254982, _254984, _254986, _254988], 1284 ^ [_254980, _254982, _254984, _254986, _254988])], (1300 ^ _204900) ^ [] : [-(apply(_254984, 1281 ^ [_254980, _254982, _254984, _254986, _254988], 1283 ^ [_254980, _254982, _254984, _254986, _254988]))]], 1303 ^ _204900 : [(1306 ^ _204900) ^ [] : [apply(_254984, 1281 ^ [_254980, _254982, _254984, _254986, _254988], 1283 ^ [_254980, _254982, _254984, _254986, _254988])], (1304 ^ _204900) ^ [] : [-(apply(_254980, 1282 ^ [_254980, _254982, _254984, _254986, _254988], 1284 ^ [_254980, _254982, _254984, _254986, _254988]))]]], (1296 ^ _204900) ^ [] : [-(apply(_254988, 1283 ^ [_254980, _254982, _254984, _254986, _254988], 1284 ^ [_254980, _254982, _254984, _254986, _254988]))], (1288 ^ _204900) ^ [] : [-(member(1282 ^ [_254980, _254982, _254984, _254986, _254988], _254982))]]], (674 ^ _204900) ^ [_229114, _229116, _229118] : [-(maps(_229118, _229116, _229114)), 689 ^ _204900 : [(698 ^ _204900) ^ [] : [-(apply(_229118, 686 ^ [_229114, _229116, _229118], 688 ^ [_229114, _229116, _229118]))], (694 ^ _204900) ^ [] : [-(member(688 ^ [_229114, _229116, _229118], _229114))], (696 ^ _204900) ^ [] : [-(apply(_229118, 686 ^ [_229114, _229116, _229118], 687 ^ [_229114, _229116, _229118]))], (700 ^ _204900) ^ [] : [687 ^ [_229114, _229116, _229118] = 688 ^ [_229114, _229116, _229118]], (690 ^ _204900) ^ [] : [-(member(686 ^ [_229114, _229116, _229118], _229116))], (692 ^ _204900) ^ [] : [-(member(687 ^ [_229114, _229116, _229118], _229114))]], 678 ^ _204900 : [(681 ^ _204900) ^ [_229454] : [member(_229454, _229114), apply(_229118, 677 ^ [_229114, _229116, _229118], _229454)], (679 ^ _204900) ^ [] : [-(member(677 ^ [_229114, _229116, _229118], _229116))]]], (610 ^ _204900) ^ [_226732, _226734] : [-(member(_226734, sum(_226732))), 611 ^ _204900 : [(612 ^ _204900) ^ [_226826] : [member(_226826, _226732), member(_226734, _226826)]]], (354 ^ _204900) ^ [_217563, _217565] : [_217565 = _217563, -(singleton(_217565) = singleton(_217563))], (620 ^ _204900) ^ [_227109, _227111] : [member(_227111, product(_227109)), 623 ^ _204900 : [(624 ^ _204900) ^ [_227250] : [member(_227250, _227109), -(member(_227111, _227250))]]], (833 ^ _204900) ^ [_236130, _236132, _236134, _236136] : [837 ^ _204900 : [(846 ^ _204900) ^ [] : [-(apply(_236134, 834 ^ [_236130, _236132, _236134, _236136], 836 ^ [_236130, _236132, _236134, _236136]))], (842 ^ _204900) ^ [] : [-(member(836 ^ [_236130, _236132, _236134, _236136], _236130))], (844 ^ _204900) ^ [] : [-(apply(_236136, 834 ^ [_236130, _236132, _236134, _236136], 835 ^ [_236130, _236132, _236134, _236136]))], (848 ^ _204900) ^ [] : [835 ^ [_236130, _236132, _236134, _236136] = 836 ^ [_236130, _236132, _236134, _236136]], (838 ^ _204900) ^ [] : [-(member(834 ^ [_236130, _236132, _236134, _236136], _236132))], (840 ^ _204900) ^ [] : [-(member(835 ^ [_236130, _236132, _236134, _236136], _236130))]], -(equal_maps(_236136, _236134, _236132, _236130))], (118 ^ _204900) ^ [_209191, _209193, _209195, _209197, _209199, _209201] : [-(surjective(_209199, _209195, _209191)), surjective(_209201, _209197, _209193), _209201 = _209199, _209197 = _209195, _209193 = _209191], (210 ^ _204900) ^ [_212620, _212622, _212624, _212626, _212628, _212630, _212632, _212634, _212636, _212638] : [-(isomorphism(_212636, _212632, _212628, _212624, _212620)), isomorphism(_212638, _212634, _212630, _212626, _212622), _212638 = _212636, _212634 = _212632, _212630 = _212628, _212626 = _212624, _212622 = _212620], (324 ^ _204900) ^ [_216514, _216516, _216518, _216520] : [-(intersection(_216520, _216516) = intersection(_216518, _216514)), _216520 = _216518, _216516 = _216514], (4 ^ _204900) ^ [_205131, _205133] : [_205133 = _205131, -(_205131 = _205133)], (774 ^ _204900) ^ [_233943, _233945, _233947, _233949, _233951, _233953, _233955] : [member(_233945, _233951), member(_233943, _233947), 781 ^ _204900 : [(793 ^ _204900) ^ [] : [-(apply(compose_function(_233955, _233953, _233951, _233949, _233947), _233945, _233943)), 794 ^ _204900 : [(795 ^ _204900) ^ [_234758] : [member(_234758, _233949), apply(_233953, _233945, _234758), apply(_233955, _234758, _233943)]]], (782 ^ _204900) ^ [] : [apply(compose_function(_233955, _233953, _233951, _233949, _233947), _233945, _233943), 786 ^ _204900 : [(789 ^ _204900) ^ [] : [-(apply(_233953, _233945, 785 ^ [_233943, _233945, _233947, _233949, _233951, _233953, _233955]))], (791 ^ _204900) ^ [] : [-(apply(_233955, 785 ^ [_233943, _233945, _233947, _233949, _233951, _233953, _233955], _233943))], (787 ^ _204900) ^ [] : [-(member(785 ^ [_233943, _233945, _233947, _233949, _233951, _233953, _233955], _233949))]]]]], (916 ^ _204900) ^ [_239919, _239921, _239923] : [surjective(_239923, _239921, _239919), 919 ^ _204900 : [(920 ^ _204900) ^ [_240074] : [member(_240074, _239919), 924 ^ _204900 : [(927 ^ _204900) ^ [] : [-(apply(_239923, 923 ^ [_239919, _239921, _239923, _240074], _240074))], (925 ^ _204900) ^ [] : [-(member(923 ^ [_239919, _239921, _239923, _240074], _239921))]]]]], (1170 ^ _204900) ^ [_250529, _250531, _250533, _250535, _250537] : [decreasing(_250537, _250535, _250533, _250531, _250529), 1173 ^ _204900 : [(1174 ^ _204900) ^ [_250781, _250783, _250785, _250787] : [-(apply(_250529, _250781, _250785)), member(_250787, _250535), member(_250785, _250531), member(_250783, _250535), member(_250781, _250531), apply(_250533, _250787, _250783), apply(_250537, _250787, _250785), apply(_250537, _250783, _250781)]]], (871 ^ _204900) ^ [_237998, _238000, _238002] : [injective(_238002, _238000, _237998), 874 ^ _204900 : [(875 ^ _204900) ^ [_238205, _238207, _238209] : [member(_238209, _238000), member(_238207, _238000), member(_238205, _237998), -(_238209 = _238207), apply(_238002, _238209, _238205), apply(_238002, _238207, _238205)]]], (960 ^ _204900) ^ [_241651, _241653, _241655, _241657] : [inverse_predicate(_241657, _241655, _241653, _241651), 963 ^ _204900 : [(964 ^ _204900) ^ [_241833, _241835] : [member(_241835, _241653), member(_241833, _241651), 971 ^ _204900 : [(978 ^ _204900) ^ [] : [apply(_241657, _241833, _241835), -(apply(_241655, _241835, _241833))], (972 ^ _204900) ^ [] : [apply(_241655, _241835, _241833), -(apply(_241657, _241833, _241835))]]]]], (509 ^ _204900) ^ [_223240, _223242] : [subset(_223242, _223240), -(member(_223242, power_set(_223240)))], (158 ^ _204900) ^ [_210646, _210648, _210650, _210652, _210654, _210656, _210658, _210660, _210662, _210664] : [-(increasing(_210662, _210658, _210654, _210650, _210646)), increasing(_210664, _210660, _210656, _210652, _210648), _210664 = _210662, _210660 = _210658, _210656 = _210654, _210652 = _210650, _210648 = _210646], (1087 ^ _204900) ^ [_246613, _246615, _246617, _246619] : [member(_246613, inverse_image3(_246619, _246617, _246615)), 1090 ^ _204900 : [(1094 ^ _204900) ^ [] : [-(member(1092 ^ [_246613, _246615, _246617, _246619], _246617))], (1096 ^ _204900) ^ [] : [-(apply(_246619, _246613, 1092 ^ [_246613, _246615, _246617, _246619]))], (1091 ^ _204900) ^ [] : [-(member(_246613, _246615))]]], (466 ^ _204900) ^ [_221807, _221809] : [subset(_221809, _221807), 469 ^ _204900 : [(470 ^ _204900) ^ [_221944] : [member(_221944, _221809), -(member(_221944, _221807))]]], (34 ^ _204900) ^ [_206120, _206122, _206124, _206126] : [-(subset(_206124, _206120)), subset(_206126, _206122), _206126 = _206124, _206122 = _206120], (1033 ^ _204900) ^ [_244430, _244432, _244434] : [-(member(_244430, image2(_244434, _244432))), 1034 ^ _204900 : [(1035 ^ _204900) ^ [_244528] : [member(_244528, _244432), apply(_244434, _244528, _244430)]]], (382 ^ _204900) ^ [_218604, _218606, _218608, _218610] : [-(image2(_218610, _218606) = image2(_218608, _218604)), _218610 = _218608, _218606 = _218604]], input).
% 224.79/216.89  ncf('1',plain,[-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))],start(1315 ^ 0)).
% 224.79/216.89  ncf('1.1',plain,[one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []), 948 : -(surjective(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(942 ^ 1,bind([[_241026, _241028, _241030], [1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 224.79/216.89  ncf('1.1.1',plain,[surjective(1309 ^ [], 1310 ^ [], 1311 ^ []), 920 : member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []), 927 : -(apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]))],extension(916 ^ 4,bind([[_239919, _239921, _239923, _240074], [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]]]))).
% 224.79/216.89  ncf('1.1.1.1',plain,[-(member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])), -(identity(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ []))],extension(862 ^ 7,bind([[_237588, _237590], [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]]))).
% 224.79/216.89  ncf('1.1.1.1.1',plain,[identity(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [])],extension(1317 ^ 8)).
% 224.79/216.89  ncf('1.1.1.2',plain,[apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]), 1012 : -(apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]])), 1012 : member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []), 1012 : member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])],extension(1004 ^ 9,bind([[_243426, _243428, _243430, _243432, _243434], [863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 224.79/216.89  ncf('1.1.1.2.1',plain,[apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]]), 795 : member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []), 795 : apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]), 795 : -(apply(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])])), 793 : member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []), 793 : member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])],extension(774 ^ 12,bind([[_233943, _233945, _233947, _233949, _233951, _233953, _233955, _234758], [863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [], 1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]]]]))).
% 224.79/216.89  ncf('1.1.1.2.1.1',plain,[-(member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []))],extension(925 ^ 17)).
% 224.79/216.89  ncf('1.1.1.2.1.2',plain,[-(apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]))],reduction('1.1.1')).
% 224.79/216.89  ncf('1.1.1.2.1.3',plain,[apply(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]), -(identity(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ []))],extension(862 ^ 15,bind([[_237588, _237590], [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]]))).
% 224.79/216.89  ncf('1.1.1.2.1.3.1',plain,[identity(compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [])],extension(1317 ^ 16)).
% 224.79/216.89  ncf('1.1.1.2.1.4',plain,[-(member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],lemmata('[1, 1].x')).
% 224.79/216.89  ncf('1.1.1.2.1.5',plain,[-(member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],lemmata('[2, 1, 1, 1].x')).
% 224.79/216.89  ncf('1.1.1.2.2',plain,[-(member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []))],extension(925 ^ 10)).
% 224.79/216.89  ncf('1.1.1.2.3',plain,[-(member(863 ^ [1311 ^ [], compose_function(1309 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],lemmata('[1, 1].x')).
% 224.79/216.89  %-----------------------------------------------------
% 224.79/216.89  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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