%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET712+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 204.70s 197.85s
% Output   : Proof 204.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET712+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 19:09:17 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 204.70/197.85  
% 204.70/197.85  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 204.70/197.85  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 204.70/197.85  %-----------------------------------------------------
% 204.70/197.85  ncf(matrix, plain, [(1317 ^ _260901) ^ [] : [maps(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [])], (1315 ^ _260901) ^ [] : [-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))], (1313 ^ _260901) ^ [] : [-(maps(1309 ^ [], 1310 ^ [], 1311 ^ []))], !, (852 ^ _208385) ^ [_240756, _240758] : [identity(_240758, _240756), 855 ^ _208385 : [(856 ^ _208385) ^ [_240894] : [member(_240894, _240756), -(apply(_240758, _240894, _240894))]]], (493 ^ _208385) ^ [_226229, _226231] : [-(equal_set(_226231, _226229)), subset(_226231, _226229), subset(_226229, _226231)], (1272 ^ _208385) ^ [_258465, _258467, _258469, _258471, _258473] : [-(isomorphism(_258473, _258471, _258469, _258467, _258465)), maps(_258473, _258471, _258467), one_to_one(_258473, _258471, _258467), 1285 ^ _208385 : [(1294 ^ _208385) ^ [] : [-(apply(_258473, 1281 ^ [_258465, _258467, _258469, _258471, _258473], 1282 ^ [_258465, _258467, _258469, _258471, _258473]))], (1288 ^ _208385) ^ [] : [-(member(1282 ^ [_258465, _258467, _258469, _258471, _258473], _258467))], (1286 ^ _208385) ^ [] : [-(member(1281 ^ [_258465, _258467, _258469, _258471, _258473], _258471))], (1290 ^ _208385) ^ [] : [-(member(1283 ^ [_258465, _258467, _258469, _258471, _258473], _258471))], (1296 ^ _208385) ^ [] : [-(apply(_258473, 1283 ^ [_258465, _258467, _258469, _258471, _258473], 1284 ^ [_258465, _258467, _258469, _258471, _258473]))], (1298 ^ _208385) ^ [] : [1299 ^ _208385 : [(1302 ^ _208385) ^ [] : [apply(_258465, 1282 ^ [_258465, _258467, _258469, _258471, _258473], 1284 ^ [_258465, _258467, _258469, _258471, _258473])], (1300 ^ _208385) ^ [] : [-(apply(_258469, 1281 ^ [_258465, _258467, _258469, _258471, _258473], 1283 ^ [_258465, _258467, _258469, _258471, _258473]))]], 1303 ^ _208385 : [(1306 ^ _208385) ^ [] : [apply(_258469, 1281 ^ [_258465, _258467, _258469, _258471, _258473], 1283 ^ [_258465, _258467, _258469, _258471, _258473])], (1304 ^ _208385) ^ [] : [-(apply(_258465, 1282 ^ [_258465, _258467, _258469, _258471, _258473], 1284 ^ [_258465, _258467, _258469, _258471, _258473]))]]], (1292 ^ _208385) ^ [] : [-(member(1284 ^ [_258465, _258467, _258469, _258471, _258473], _258467))]]], (382 ^ _208385) ^ [_222173, _222175, _222177, _222179, _222181, _222183, _222185, _222187, _222189, _222191] : [-(compose_function(_222191, _222187, _222183, _222179, _222175) = compose_function(_222189, _222185, _222181, _222177, _222173)), _222191 = _222189, _222187 = _222185, _222183 = _222181, _222179 = _222177, _222175 = _222173], (20 ^ _208385) ^ [_209161, _209163, _209165, _209167] : [-(equal_set(_209165, _209161)), equal_set(_209167, _209163), _209167 = _209165, _209163 = _209161], (1112 ^ _208385) ^ [_251093, _251095, _251097, _251099, _251101] : [increasing(_251101, _251099, _251097, _251095, _251093), 1115 ^ _208385 : [(1116 ^ _208385) ^ [_251345, _251347, _251349, _251351] : [-(apply(_251093, _251349, _251345)), member(_251351, _251099), member(_251349, _251095), member(_251347, _251099), member(_251345, _251095), apply(_251097, _251351, _251347), apply(_251101, _251351, _251349), apply(_251101, _251347, _251345)]]], (172 ^ _208385) ^ [_214575, _214577, _214579, _214581, _214583, _214585, _214587, _214589, _214591, _214593] : [-(increasing(_214591, _214587, _214583, _214579, _214575)), increasing(_214593, _214589, _214585, _214581, _214577), _214593 = _214591, _214589 = _214587, _214585 = _214583, _214581 = _214579, _214577 = _214575], (438 ^ _208385) ^ [_224229, _224231, _224233, _224235, _224237, _224239] : [-(inverse_image3(_224239, _224235, _224231) = inverse_image3(_224237, _224233, _224229)), _224239 = _224237, _224235 = _224233, _224231 = _224229], (601 ^ _208385) ^ [_229906, _229908] : [member(_229908, sum(_229906)), 605 ^ _208385 : [(608 ^ _208385) ^ [] : [-(member(_229908, 604 ^ [_229906, _229908]))], (606 ^ _208385) ^ [] : [-(member(604 ^ [_229906, _229908], _229906))]]], (34 ^ _208385) ^ [_209605, _209607, _209609, _209611] : [-(subset(_209609, _209605)), subset(_209611, _209607), _209611 = _209609, _209607 = _209605], (100 ^ _208385) ^ [_212039, _212041, _212043, _212045] : [-(identity(_212043, _212039)), identity(_212045, _212041), _212045 = _212043, _212041 = _212039], (414 ^ _208385) ^ [_223354, _223356, _223358, _223360, _223362, _223364] : [-(image3(_223364, _223360, _223356) = image3(_223362, _223358, _223354)), _223364 = _223362, _223360 = _223358, _223356 = _223354], (1077 ^ _208385) ^ [_249656, _249658, _249660] : [-(member(_249656, inverse_image2(_249660, _249658))), 1078 ^ _208385 : [(1079 ^ _208385) ^ [_249754] : [member(_249754, _249658), apply(_249660, _249656, _249754)]]], (674 ^ _208385) ^ [_232599, _232601, _232603] : [-(maps(_232603, _232601, _232599)), 689 ^ _208385 : [(698 ^ _208385) ^ [] : [-(apply(_232603, 686 ^ [_232599, _232601, _232603], 688 ^ [_232599, _232601, _232603]))], (696 ^ _208385) ^ [] : [-(apply(_232603, 686 ^ [_232599, _232601, _232603], 687 ^ [_232599, _232601, _232603]))], (700 ^ _208385) ^ [] : [687 ^ [_232599, _232601, _232603] = 688 ^ [_232599, _232601, _232603]], (690 ^ _208385) ^ [] : [-(member(686 ^ [_232599, _232601, _232603], _232601))], (692 ^ _208385) ^ [] : [-(member(687 ^ [_232599, _232601, _232603], _232599))], (694 ^ _208385) ^ [] : [-(member(688 ^ [_232599, _232601, _232603], _232599))]], 678 ^ _208385 : [(681 ^ _208385) ^ [_232939] : [member(_232939, _232599), apply(_232603, 677 ^ [_232599, _232601, _232603], _232939)], (679 ^ _208385) ^ [] : [-(member(677 ^ [_232599, _232601, _232603], _232601))]]], (476 ^ _208385) ^ [_225606, _225608] : [478 ^ _208385 : [(481 ^ _208385) ^ [] : [member(477 ^ [_225606, _225608], _225606)], (479 ^ _208385) ^ [] : [-(member(477 ^ [_225606, _225608], _225608))]], -(subset(_225608, _225606))], (78 ^ _208385) ^ [_211305, _211307, _211309, _211311, _211313, _211315, _211317, _211319] : [-(equal_maps(_211317, _211313, _211309, _211305)), equal_maps(_211319, _211315, _211311, _211307), _211319 = _211317, _211315 = _211313, _211311 = _211309, _211307 = _211305], (1146 ^ _208385) ^ [_252274, _252276, _252278, _252280, _252282] : [1151 ^ _208385 : [(1158 ^ _208385) ^ [] : [-(member(1150 ^ [_252274, _252276, _252278, _252280, _252282], _252276))], (1162 ^ _208385) ^ [] : [-(apply(_252282, 1147 ^ [_252274, _252276, _252278, _252280, _252282], 1148 ^ [_252274, _252276, _252278, _252280, _252282]))], (1160 ^ _208385) ^ [] : [-(apply(_252278, 1147 ^ [_252274, _252276, _252278, _252280, _252282], 1149 ^ [_252274, _252276, _252278, _252280, _252282]))], (1164 ^ _208385) ^ [] : [-(apply(_252282, 1149 ^ [_252274, _252276, _252278, _252280, _252282], 1150 ^ [_252274, _252276, _252278, _252280, _252282]))], (1154 ^ _208385) ^ [] : [-(member(1148 ^ [_252274, _252276, _252278, _252280, _252282], _252276))], (1152 ^ _208385) ^ [] : [-(member(1147 ^ [_252274, _252276, _252278, _252280, _252282], _252280))], (1156 ^ _208385) ^ [] : [-(member(1149 ^ [_252274, _252276, _252278, _252280, _252282], _252280))], (1166 ^ _208385) ^ [] : [apply(_252274, 1148 ^ [_252274, _252276, _252278, _252280, _252282], 1150 ^ [_252274, _252276, _252278, _252280, _252282])]], -(increasing(_252282, _252280, _252278, _252276, _252274))], (583 ^ _208385) ^ [_229309, _229311, _229313] : [member(_229313, unordered_pair(_229311, _229309)), -(_229313 = _229311), -(_229313 = _229309)], (571 ^ _208385) ^ [_228884, _228886] : [member(_228886, singleton(_228884)), -(_228886 = _228884)], (318 ^ _208385) ^ [_219753, _219755] : [_219755 = _219753, -(power_set(_219755) = power_set(_219753))], (984 ^ _208385) ^ [_245920, _245922, _245924, _245926] : [-(inverse_predicate(_245926, _245924, _245922, _245920)), 987 ^ _208385 : [(992 ^ _208385) ^ [] : [993 ^ _208385 : [(996 ^ _208385) ^ [] : [apply(_245926, 986 ^ [_245920, _245922, _245924, _245926], 985 ^ [_245920, _245922, _245924, _245926])], (994 ^ _208385) ^ [] : [-(apply(_245924, 985 ^ [_245920, _245922, _245924, _245926], 986 ^ [_245920, _245922, _245924, _245926]))]], 997 ^ _208385 : [(1000 ^ _208385) ^ [] : [apply(_245924, 985 ^ [_245920, _245922, _245924, _245926], 986 ^ [_245920, _245922, _245924, _245926])], (998 ^ _208385) ^ [] : [-(apply(_245926, 986 ^ [_245920, _245922, _245924, _245926], 985 ^ [_245920, _245922, _245924, _245926]))]]], (990 ^ _208385) ^ [] : [-(member(986 ^ [_245920, _245922, _245924, _245926], _245920))], (988 ^ _208385) ^ [] : [-(member(985 ^ [_245920, _245922, _245924, _245926], _245922))]]], (404 ^ _208385) ^ [_222967, _222969, _222971, _222973] : [-(image2(_222973, _222969) = image2(_222971, _222967)), _222973 = _222971, _222969 = _222967], (354 ^ _208385) ^ [_221048, _221050] : [_221050 = _221048, -(singleton(_221050) = singleton(_221048))], (630 ^ _208385) ^ [_230912, _230914] : [632 ^ _208385 : [(635 ^ _208385) ^ [] : [member(_230914, 631 ^ [_230912, _230914])], (633 ^ _208385) ^ [] : [-(member(631 ^ [_230912, _230914], _230912))]], -(member(_230914, product(_230912)))], (376 ^ _208385) ^ [_221843, _221845] : [_221845 = _221843, -(product(_221845) = product(_221843))], (515 ^ _208385) ^ [_226984, _226986, _226988] : [member(_226988, intersection(_226986, _226984)), 518 ^ _208385 : [(521 ^ _208385) ^ [] : [-(member(_226988, _226984))], (519 ^ _208385) ^ [] : [-(member(_226988, _226986))]]], (929 ^ _208385) ^ [_243912, _243914, _243916] : [-(surjective(_243916, _243914, _243912)), 931 ^ _208385 : [(934 ^ _208385) ^ [_244163] : [member(_244163, _243914), apply(_243916, _244163, 930 ^ [_243912, _243914, _243916])], (932 ^ _208385) ^ [] : [-(member(930 ^ [_243912, _243914, _243916], _243912))]]], (1054 ^ _208385) ^ [_248785, _248787, _248789, _248791] : [-(member(_248785, image3(_248791, _248789, _248787))), member(_248785, _248787), 1059 ^ _208385 : [(1060 ^ _208385) ^ [_248979] : [member(_248979, _248789), apply(_248791, _248979, _248785)]]], (523 ^ _208385) ^ [_227235, _227237, _227239] : [-(member(_227239, intersection(_227237, _227235))), member(_227239, _227237), member(_227239, _227235)], (807 ^ _208385) ^ [_238753, _238755, _238757, _238759] : [equal_maps(_238759, _238757, _238755, _238753), 810 ^ _208385 : [(811 ^ _208385) ^ [_238966, _238968, _238970] : [member(_238970, _238755), member(_238968, _238753), member(_238966, _238753), -(_238968 = _238966), apply(_238759, _238970, _238968), apply(_238757, _238970, _238966)]]], (942 ^ _208385) ^ [_244511, _244513, _244515] : [one_to_one(_244515, _244513, _244511), 945 ^ _208385 : [(948 ^ _208385) ^ [] : [-(surjective(_244515, _244513, _244511))], (946 ^ _208385) ^ [] : [-(injective(_244515, _244513, _244511))]]], (48 ^ _208385) ^ [_210161, _210163, _210165, _210167, _210169, _210171, _210173, _210175, _210177, _210179, _210181, _210183] : [-(compose_predicate(_210181, _210177, _210173, _210169, _210165, _210161)), compose_predicate(_210183, _210179, _210175, _210171, _210167, _210163), _210183 = _210181, _210179 = _210177, _210175 = _210173, _210171 = _210169, _210167 = _210165, _210163 = _210161], (551 ^ _208385) ^ [_228133] : [member(_228133, empty_set)], (916 ^ _208385) ^ [_243404, _243406, _243408] : [surjective(_243408, _243406, _243404), 919 ^ _208385 : [(920 ^ _208385) ^ [_243559] : [member(_243559, _243404), 924 ^ _208385 : [(927 ^ _208385) ^ [] : [-(apply(_243408, 923 ^ [_243404, _243406, _243408, _243559], _243559))], (925 ^ _208385) ^ [] : [-(member(923 ^ [_243404, _243406, _243408, _243559], _243406))]]]]], (344 ^ _208385) ^ [_220717, _220719, _220721, _220723] : [-(difference(_220723, _220719) = difference(_220721, _220717)), _220723 = _220721, _220719 = _220717], (1004 ^ _208385) ^ [_246911, _246913, _246915, _246917, _246919] : [member(_246913, _246917), member(_246911, _246915), 1011 ^ _208385 : [(1018 ^ _208385) ^ [] : [apply(inverse_function(_246919, _246917, _246915), _246911, _246913), -(apply(_246919, _246913, _246911))], (1012 ^ _208385) ^ [] : [apply(_246919, _246913, _246911), -(apply(inverse_function(_246919, _246917, _246915), _246911, _246913))]]], (741 ^ _208385) ^ [_235634, _235636, _235638, _235640, _235642, _235644] : [-(compose_predicate(_235644, _235642, _235640, _235638, _235636, _235634)), 744 ^ _208385 : [(749 ^ _208385) ^ [] : [763 ^ _208385 : [(770 ^ _208385) ^ [] : [apply(_235644, 742 ^ [_235634, _235636, _235638, _235640, _235642, _235644], 743 ^ [_235634, _235636, _235638, _235640, _235642, _235644])], (764 ^ _208385) ^ [] : [-(member(762 ^ [_235634, _235636, _235638, _235640, _235642, _235644], _235636))], (768 ^ _208385) ^ [] : [-(apply(_235642, 762 ^ [_235634, _235636, _235638, _235640, _235642, _235644], 743 ^ [_235634, _235636, _235638, _235640, _235642, _235644]))], (766 ^ _208385) ^ [] : [-(apply(_235640, 742 ^ [_235634, _235636, _235638, _235640, _235642, _235644], 762 ^ [_235634, _235636, _235638, _235640, _235642, _235644]))]], 750 ^ _208385 : [(753 ^ _208385) ^ [_236359] : [member(_236359, _235636), apply(_235640, 742 ^ [_235634, _235636, _235638, _235640, _235642, _235644], _236359), apply(_235642, _236359, 743 ^ [_235634, _235636, _235638, _235640, _235642, _235644])], (751 ^ _208385) ^ [] : [-(apply(_235644, 742 ^ [_235634, _235636, _235638, _235640, _235642, _235644], 743 ^ [_235634, _235636, _235638, _235640, _235642, _235644]))]]], (747 ^ _208385) ^ [] : [-(member(743 ^ [_235634, _235636, _235638, _235640, _235642, _235644], _235634))], (745 ^ _208385) ^ [] : [-(member(742 ^ [_235634, _235636, _235638, _235640, _235642, _235644], _235638))]]], (862 ^ _208385) ^ [_241073, _241075] : [864 ^ _208385 : [(867 ^ _208385) ^ [] : [apply(_241075, 863 ^ [_241073, _241075], 863 ^ [_241073, _241075])], (865 ^ _208385) ^ [] : [-(member(863 ^ [_241073, _241075], _241073))]], -(identity(_241075, _241073))], (132 ^ _208385) ^ [_213120, _213122, _213124, _213126, _213128, _213130] : [-(surjective(_213128, _213124, _213120)), surjective(_213130, _213126, _213122), _213130 = _213128, _213126 = _213124, _213122 = _213120], (198 ^ _208385) ^ [_215562, _215564, _215566, _215568, _215570, _215572, _215574, _215576, _215578, _215580] : [-(decreasing(_215578, _215574, _215570, _215566, _215562)), decreasing(_215580, _215576, _215572, _215568, _215564), _215580 = _215578, _215576 = _215574, _215572 = _215570, _215568 = _215566, _215564 = _215562], (1098 ^ _208385) ^ [_250526, _250528, _250530, _250532] : [-(member(_250526, inverse_image3(_250532, _250530, _250528))), member(_250526, _250528), 1103 ^ _208385 : [(1104 ^ _208385) ^ [_250720] : [member(_250720, _250530), apply(_250532, _250526, _250720)]]], (300 ^ _208385) ^ [_219122, _219124, _219126, _219128, _219130, _219132] : [-(maps(_219130, _219126, _219122)), maps(_219132, _219128, _219124), _219132 = _219130, _219128 = _219126, _219124 = _219122], (466 ^ _208385) ^ [_225292, _225294] : [subset(_225294, _225292), 469 ^ _208385 : [(470 ^ _208385) ^ [_225429] : [member(_225429, _225294), -(member(_225429, _225292))]]], (610 ^ _208385) ^ [_230217, _230219] : [-(member(_230219, sum(_230217))), 611 ^ _208385 : [(612 ^ _208385) ^ [_230311] : [member(_230311, _230217), member(_230219, _230311)]]], (485 ^ _208385) ^ [_225992, _225994] : [equal_set(_225994, _225992), 488 ^ _208385 : [(491 ^ _208385) ^ [] : [-(subset(_225992, _225994))], (489 ^ _208385) ^ [] : [-(subset(_225994, _225992))]]], (833 ^ _208385) ^ [_239615, _239617, _239619, _239621] : [837 ^ _208385 : [(846 ^ _208385) ^ [] : [-(apply(_239619, 834 ^ [_239615, _239617, _239619, _239621], 836 ^ [_239615, _239617, _239619, _239621]))], (844 ^ _208385) ^ [] : [-(apply(_239621, 834 ^ [_239615, _239617, _239619, _239621], 835 ^ [_239615, _239617, _239619, _239621]))], (848 ^ _208385) ^ [] : [835 ^ [_239615, _239617, _239619, _239621] = 836 ^ [_239615, _239617, _239619, _239621]], (838 ^ _208385) ^ [] : [-(member(834 ^ [_239615, _239617, _239619, _239621], _239617))], (840 ^ _208385) ^ [] : [-(member(835 ^ [_239615, _239617, _239619, _239621], _239615))], (842 ^ _208385) ^ [] : [-(member(836 ^ [_239615, _239617, _239619, _239621], _239615))]], -(equal_maps(_239621, _239619, _239617, _239615))], (960 ^ _208385) ^ [_245136, _245138, _245140, _245142] : [inverse_predicate(_245142, _245140, _245138, _245136), 963 ^ _208385 : [(964 ^ _208385) ^ [_245318, _245320] : [member(_245320, _245138), member(_245318, _245136), 971 ^ _208385 : [(978 ^ _208385) ^ [] : [apply(_245142, _245318, _245320), -(apply(_245140, _245320, _245318))], (972 ^ _208385) ^ [] : [apply(_245140, _245320, _245318), -(apply(_245142, _245318, _245320))]]]]], (428 ^ _208385) ^ [_223842, _223844, _223846, _223848] : [-(inverse_image2(_223848, _223844) = inverse_image2(_223846, _223842)), _223848 = _223846, _223844 = _223842], (561 ^ _208385) ^ [_228535, _228537, _228539] : [-(member(_228539, difference(_228535, _228537))), member(_228539, _228535), -(member(_228539, _228537))], (509 ^ _208385) ^ [_226725, _226727] : [subset(_226727, _226725), -(member(_226727, power_set(_226725)))], (2 ^ _208385) ^ [_208509] : [-(_208509 = _208509)], (264 ^ _208385) ^ [_217924, _217926, _217928, _217930, _217932, _217934] : [-(apply(_217932, _217928, _217924)), apply(_217934, _217930, _217926), _217934 = _217932, _217930 = _217928, _217926 = _217924], (360 ^ _208385) ^ [_221294, _221296, _221298, _221300] : [-(unordered_pair(_221300, _221296) = unordered_pair(_221298, _221294)), _221300 = _221298, _221296 = _221294], (452 ^ _208385) ^ [_224725, _224727, _224729, _224731, _224733, _224735] : [-(inverse_function(_224735, _224731, _224727) = inverse_function(_224733, _224729, _224725)), _224735 = _224733, _224731 = _224729, _224727 = _224725], (503 ^ _208385) ^ [_226559, _226561] : [member(_226561, power_set(_226559)), -(subset(_226561, _226559))], (950 ^ _208385) ^ [_244762, _244764, _244766] : [-(one_to_one(_244766, _244764, _244762)), injective(_244766, _244764, _244762), surjective(_244766, _244764, _244762)], (1068 ^ _208385) ^ [_249324, _249326, _249328] : [member(_249324, inverse_image2(_249328, _249326)), 1072 ^ _208385 : [(1075 ^ _208385) ^ [] : [-(apply(_249328, _249324, 1071 ^ [_249324, _249326, _249328]))], (1073 ^ _208385) ^ [] : [-(member(1071 ^ [_249324, _249326, _249328], _249326))]]], (704 ^ _208385) ^ [_234159, _234161, _234163, _234165, _234167, _234169] : [compose_predicate(_234169, _234167, _234165, _234163, _234161, _234159), 707 ^ _208385 : [(708 ^ _208385) ^ [_234371, _234373] : [member(_234373, _234163), member(_234371, _234159), 715 ^ _208385 : [(727 ^ _208385) ^ [] : [-(apply(_234169, _234373, _234371)), 728 ^ _208385 : [(729 ^ _208385) ^ [_235216] : [member(_235216, _234161), apply(_234165, _234373, _235216), apply(_234167, _235216, _234371)]]], (716 ^ _208385) ^ [] : [apply(_234169, _234373, _234371), 720 ^ _208385 : [(725 ^ _208385) ^ [] : [-(apply(_234167, 719 ^ [_234159, _234161, _234163, _234165, _234167, _234169, _234371, _234373], _234371))], (723 ^ _208385) ^ [] : [-(apply(_234165, _234373, 719 ^ [_234159, _234161, _234163, _234165, _234167, _234169, _234371, _234373]))], (721 ^ _208385) ^ [] : [-(member(719 ^ [_234159, _234161, _234163, _234165, _234167, _234169, _234371, _234373], _234161))]]]]]]], (4 ^ _208385) ^ [_208616, _208618] : [_208618 = _208616, -(_208616 = _208618)], (114 ^ _208385) ^ [_212511, _212513, _212515, _212517, _212519, _212521] : [-(injective(_212519, _212515, _212511)), injective(_212521, _212517, _212513), _212521 = _212519, _212517 = _212515, _212513 = _212511], (577 ^ _208385) ^ [_229050, _229052] : [_229052 = _229050, -(member(_229052, singleton(_229050)))], (150 ^ _208385) ^ [_213757, _213759, _213761, _213763, _213765, _213767, _213769, _213771] : [-(inverse_predicate(_213769, _213765, _213761, _213757)), inverse_predicate(_213771, _213767, _213763, _213759), _213771 = _213769, _213767 = _213765, _213763 = _213761, _213759 = _213757], (1043 ^ _208385) ^ [_248357, _248359, _248361, _248363] : [member(_248357, image3(_248363, _248361, _248359)), 1046 ^ _208385 : [(1052 ^ _208385) ^ [] : [-(apply(_248363, 1048 ^ [_248357, _248359, _248361, _248363], _248357))], (1050 ^ _208385) ^ [] : [-(member(1048 ^ [_248357, _248359, _248361, _248363], _248361))], (1047 ^ _208385) ^ [] : [-(member(_248357, _248359))]]], (224 ^ _208385) ^ [_216549, _216551, _216553, _216555, _216557, _216559, _216561, _216563, _216565, _216567] : [-(isomorphism(_216565, _216561, _216557, _216553, _216549)), isomorphism(_216567, _216563, _216559, _216555, _216551), _216567 = _216565, _216563 = _216561, _216559 = _216557, _216555 = _216553, _216551 = _216549], (553 ^ _208385) ^ [_228283, _228285, _228287] : [member(_228287, difference(_228283, _228285)), 556 ^ _208385 : [(559 ^ _208385) ^ [] : [member(_228287, _228285)], (557 ^ _208385) ^ [] : [-(member(_228287, _228283))]]], (1204 ^ _208385) ^ [_255195, _255197, _255199, _255201, _255203] : [1209 ^ _208385 : [(1216 ^ _208385) ^ [] : [-(member(1208 ^ [_255195, _255197, _255199, _255201, _255203], _255197))], (1220 ^ _208385) ^ [] : [-(apply(_255203, 1205 ^ [_255195, _255197, _255199, _255201, _255203], 1206 ^ [_255195, _255197, _255199, _255201, _255203]))], (1218 ^ _208385) ^ [] : [-(apply(_255199, 1205 ^ [_255195, _255197, _255199, _255201, _255203], 1207 ^ [_255195, _255197, _255199, _255201, _255203]))], (1222 ^ _208385) ^ [] : [-(apply(_255203, 1207 ^ [_255195, _255197, _255199, _255201, _255203], 1208 ^ [_255195, _255197, _255199, _255201, _255203]))], (1212 ^ _208385) ^ [] : [-(member(1206 ^ [_255195, _255197, _255199, _255201, _255203], _255197))], (1210 ^ _208385) ^ [] : [-(member(1205 ^ [_255195, _255197, _255199, _255201, _255203], _255201))], (1214 ^ _208385) ^ [] : [-(member(1207 ^ [_255195, _255197, _255199, _255201, _255203], _255201))], (1224 ^ _208385) ^ [] : [apply(_255195, 1208 ^ [_255195, _255197, _255199, _255201, _255203], 1206 ^ [_255195, _255197, _255199, _255201, _255203])]], -(decreasing(_255203, _255201, _255199, _255197, _255195))], (533 ^ _208385) ^ [_227595, _227597, _227599] : [member(_227599, union(_227597, _227595)), -(member(_227599, _227597)), -(member(_227599, _227595))], (1170 ^ _208385) ^ [_254014, _254016, _254018, _254020, _254022] : [decreasing(_254022, _254020, _254018, _254016, _254014), 1173 ^ _208385 : [(1174 ^ _208385) ^ [_254266, _254268, _254270, _254272] : [-(apply(_254014, _254266, _254270)), member(_254272, _254020), member(_254270, _254016), member(_254268, _254020), member(_254266, _254016), apply(_254018, _254272, _254268), apply(_254022, _254272, _254270), apply(_254022, _254268, _254266)]]], (1024 ^ _208385) ^ [_247583, _247585, _247587] : [member(_247583, image2(_247587, _247585)), 1028 ^ _208385 : [(1031 ^ _208385) ^ [] : [-(apply(_247587, 1027 ^ [_247583, _247585, _247587], _247583))], (1029 ^ _208385) ^ [] : [-(member(1027 ^ [_247583, _247585, _247587], _247585))]]], (250 ^ _208385) ^ [_217452, _217454, _217456, _217458] : [-(member(_217456, _217452)), member(_217458, _217454), _217458 = _217456, _217454 = _217452], (871 ^ _208385) ^ [_241483, _241485, _241487] : [injective(_241487, _241485, _241483), 874 ^ _208385 : [(875 ^ _208385) ^ [_241690, _241692, _241694] : [member(_241694, _241485), member(_241692, _241485), member(_241690, _241483), -(_241694 = _241692), apply(_241487, _241694, _241690), apply(_241487, _241692, _241690)]]], (1087 ^ _208385) ^ [_250098, _250100, _250102, _250104] : [member(_250098, inverse_image3(_250104, _250102, _250100)), 1090 ^ _208385 : [(1096 ^ _208385) ^ [] : [-(apply(_250104, _250098, 1092 ^ [_250098, _250100, _250102, _250104]))], (1094 ^ _208385) ^ [] : [-(member(1092 ^ [_250098, _250100, _250102, _250104], _250102))], (1091 ^ _208385) ^ [] : [-(member(_250098, _250100))]]], (324 ^ _208385) ^ [_219999, _220001, _220003, _220005] : [-(intersection(_220005, _220001) = intersection(_220003, _219999)), _220005 = _220003, _220001 = _219999], (10 ^ _208385) ^ [_208820, _208822, _208824] : [-(_208824 = _208820), _208824 = _208822, _208822 = _208820], (639 ^ _208385) ^ [_231354, _231356, _231358] : [maps(_231358, _231356, _231354), 642 ^ _208385 : [(652 ^ _208385) ^ [_231972, _231974, _231976] : [member(_231976, _231356), member(_231974, _231354), member(_231972, _231354), -(_231974 = _231972), apply(_231358, _231976, _231974), apply(_231358, _231976, _231972)], (643 ^ _208385) ^ [_231582] : [member(_231582, _231356), 647 ^ _208385 : [(650 ^ _208385) ^ [] : [-(apply(_231358, _231582, 646 ^ [_231354, _231356, _231358, _231582]))], (648 ^ _208385) ^ [] : [-(member(646 ^ [_231354, _231356, _231358, _231582], _231354))]]]]], (1228 ^ _208385) ^ [_256915, _256917, _256919, _256921, _256923] : [isomorphism(_256923, _256921, _256919, _256917, _256915), 1231 ^ _208385 : [(1236 ^ _208385) ^ [_257327, _257329, _257331, _257333] : [1259 ^ _208385 : [(1266 ^ _208385) ^ [] : [apply(_256915, _257331, _257327), -(apply(_256919, _257333, _257329))], (1260 ^ _208385) ^ [] : [apply(_256919, _257333, _257329), -(apply(_256915, _257331, _257327))]], member(_257333, _256921), member(_257331, _256917), member(_257329, _256921), member(_257327, _256917), apply(_256923, _257333, _257331), apply(_256923, _257329, _257327)], (1234 ^ _208385) ^ [] : [-(one_to_one(_256923, _256921, _256917))], (1232 ^ _208385) ^ [] : [-(maps(_256923, _256921, _256917))]]], (1033 ^ _208385) ^ [_247915, _247917, _247919] : [-(member(_247915, image2(_247919, _247917))), 1034 ^ _208385 : [(1035 ^ _208385) ^ [_248013] : [member(_248013, _247917), apply(_247919, _248013, _247915)]]], (282 ^ _208385) ^ [_218533, _218535, _218537, _218539, _218541, _218543] : [-(one_to_one(_218541, _218537, _218533)), one_to_one(_218543, _218539, _218535), _218543 = _218541, _218539 = _218537, _218535 = _218533], (620 ^ _208385) ^ [_230594, _230596] : [member(_230596, product(_230594)), 623 ^ _208385 : [(624 ^ _208385) ^ [_230735] : [member(_230735, _230594), -(member(_230596, _230735))]]], (897 ^ _208385) ^ [_242315, _242317, _242319] : [901 ^ _208385 : [(910 ^ _208385) ^ [] : [-(apply(_242319, 899 ^ [_242315, _242317, _242319], 900 ^ [_242315, _242317, _242319]))], (908 ^ _208385) ^ [] : [-(apply(_242319, 898 ^ [_242315, _242317, _242319], 900 ^ [_242315, _242317, _242319]))], (912 ^ _208385) ^ [] : [898 ^ [_242315, _242317, _242319] = 899 ^ [_242315, _242317, _242319]], (902 ^ _208385) ^ [] : [-(member(898 ^ [_242315, _242317, _242319], _242317))], (904 ^ _208385) ^ [] : [-(member(899 ^ [_242315, _242317, _242319], _242317))], (906 ^ _208385) ^ [] : [-(member(900 ^ [_242315, _242317, _242319], _242315))]], -(injective(_242319, _242317, _242315))], (593 ^ _208385) ^ [_229577, _229579, _229581] : [594 ^ _208385 : [(597 ^ _208385) ^ [] : [_229581 = _229577], (595 ^ _208385) ^ [] : [_229581 = _229579]], -(member(_229581, unordered_pair(_229579, _229577)))], (774 ^ _208385) ^ [_237428, _237430, _237432, _237434, _237436, _237438, _237440] : [member(_237430, _237436), member(_237428, _237432), 781 ^ _208385 : [(793 ^ _208385) ^ [] : [-(apply(compose_function(_237440, _237438, _237436, _237434, _237432), _237430, _237428)), 794 ^ _208385 : [(795 ^ _208385) ^ [_238243] : [member(_238243, _237434), apply(_237438, _237430, _238243), apply(_237440, _238243, _237428)]]], (782 ^ _208385) ^ [] : [apply(compose_function(_237440, _237438, _237436, _237434, _237432), _237430, _237428), 786 ^ _208385 : [(791 ^ _208385) ^ [] : [-(apply(_237440, 785 ^ [_237428, _237430, _237432, _237434, _237436, _237438, _237440], _237428))], (789 ^ _208385) ^ [] : [-(apply(_237438, _237430, 785 ^ [_237428, _237430, _237432, _237434, _237436, _237438, _237440]))], (787 ^ _208385) ^ [] : [-(member(785 ^ [_237428, _237430, _237432, _237434, _237436, _237438, _237440], _237434))]]]]], (334 ^ _208385) ^ [_220358, _220360, _220362, _220364] : [-(union(_220364, _220360) = union(_220362, _220358)), _220364 = _220362, _220360 = _220358], (543 ^ _208385) ^ [_227863, _227865, _227867] : [544 ^ _208385 : [(547 ^ _208385) ^ [] : [member(_227867, _227863)], (545 ^ _208385) ^ [] : [member(_227867, _227865)]], -(member(_227867, union(_227865, _227863)))], (370 ^ _208385) ^ [_221625, _221627] : [_221627 = _221625, -(sum(_221627) = sum(_221625))]], input).
% 204.70/197.85  ncf('1',plain,[maps(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [])],start(1317 ^ 0)).
% 204.70/197.85  ncf('1.1',plain,[-(maps(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 1311 ^ [], 1310 ^ [])), 700 : 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])] = 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 681 : member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []), 681 : apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]])],extension(674 ^ 1,bind([[_232599, _232601, _232603, _232939], [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]]]]))).
% 204.70/197.85  ncf('1.1.1',plain,[-(687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])] = 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 875 : member(687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []), 875 : member(688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []), 875 : member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []), 875 : apply(1309 ^ [], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 875 : apply(1309 ^ [], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 875 : injective(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(871 ^ 4,bind([[_241483, _241485, _241487, _241690, _241692, _241694], [1311 ^ [], 1310 ^ [], 1309 ^ [], 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]]]))).
% 204.70/197.85  ncf('1.1.1.1',plain,[-(member(687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []))],extension(692 ^ 7)).
% 204.70/197.85  ncf('1.1.1.2',plain,[-(member(688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []))],extension(694 ^ 7)).
% 204.70/197.85  ncf('1.1.1.3',plain,[-(member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],extension(690 ^ 7)).
% 204.70/197.85  ncf('1.1.1.4',plain,[-(apply(1309 ^ [], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])])), 1018 : apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 1018 : member(687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []), 1018 : member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])],extension(1004 ^ 7,bind([[_246911, _246913, _246915, _246917, _246919], [686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.1.4.1',plain,[-(apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]))],extension(696 ^ 10)).
% 204.70/197.85  ncf('1.1.1.4.2',plain,[-(member(687 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []))],lemmata('[1, 1].x')).
% 204.70/197.85  ncf('1.1.1.4.3',plain,[-(member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],lemmata('[1, 1].x')).
% 204.70/197.85  ncf('1.1.1.5',plain,[-(apply(1309 ^ [], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])])), 1018 : apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 1018 : member(688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []), 1018 : member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])],extension(1004 ^ 7,bind([[_246911, _246913, _246915, _246917, _246919], [686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.1.5.1',plain,[-(apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]))],extension(698 ^ 10)).
% 204.70/197.85  ncf('1.1.1.5.2',plain,[-(member(688 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1310 ^ []))],lemmata('[1, 1].x')).
% 204.70/197.85  ncf('1.1.1.5.3',plain,[-(member(686 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],lemmata('[1, 1].x')).
% 204.70/197.85  ncf('1.1.1.6',plain,[-(injective(1309 ^ [], 1310 ^ [], 1311 ^ [])), one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(942 ^ 5,bind([[_244511, _244513, _244515], [1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.1.6.1',plain,[-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(1315 ^ 6)).
% 204.70/197.85  ncf('1.1.2',plain,[-(member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ [])), 920 : member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []), 920 : surjective(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(916 ^ 4,bind([[_243404, _243406, _243408, _243559], [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]]]))).
% 204.70/197.85  ncf('1.1.2.1',plain,[-(member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],extension(679 ^ 7)).
% 204.70/197.85  ncf('1.1.2.2',plain,[-(surjective(1309 ^ [], 1310 ^ [], 1311 ^ [])), one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(942 ^ 5,bind([[_244511, _244513, _244515], [1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.2.2.1',plain,[-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(1315 ^ 6)).
% 204.70/197.85  ncf('1.1.3',plain,[-(apply(inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ []), 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]])), 1012 : apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]), 1012 : member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []), 1012 : member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ [])],extension(1004 ^ 4,bind([[_246911, _246913, _246915, _246917, _246919], [677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.3.1',plain,[-(apply(1309 ^ [], 923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])])), 920 : member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []), 920 : surjective(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(916 ^ 7,bind([[_243404, _243406, _243408, _243559], [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]]]))).
% 204.70/197.85  ncf('1.1.3.1.1',plain,[-(member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],extension(679 ^ 10)).
% 204.70/197.85  ncf('1.1.3.1.2',plain,[-(surjective(1309 ^ [], 1310 ^ [], 1311 ^ [])), one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ [])],extension(942 ^ 8,bind([[_244511, _244513, _244515], [1311 ^ [], 1310 ^ [], 1309 ^ []]]))).
% 204.70/197.85  ncf('1.1.3.1.2.1',plain,[-(one_to_one(1309 ^ [], 1310 ^ [], 1311 ^ []))],extension(1315 ^ 9)).
% 204.70/197.85  ncf('1.1.3.2',plain,[-(member(923 ^ [1311 ^ [], 1310 ^ [], 1309 ^ [], 677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])]], 1310 ^ []))],lemmata('[1].x')).
% 204.70/197.85  ncf('1.1.3.3',plain,[-(member(677 ^ [1310 ^ [], 1311 ^ [], inverse_function(1309 ^ [], 1310 ^ [], 1311 ^ [])], 1311 ^ []))],extension(679 ^ 5)).
% 204.70/197.85  %-----------------------------------------------------
% 204.70/197.85  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------