%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:19:48 EDT 2023

% Result   : Theorem 0.21s 1.32s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Fri May 19 02:26:20 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.21/1.32  
% 0.21/1.32  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.21/1.32  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/1.32  %-----------------------------------------------------
% 0.21/1.32  ncf(matrix, plain, [(1117 ^ _215295) ^ [] : [init = init, leq(n0, pv7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(pv7, minus(n410, n1)), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 1155 ^ _215295 : [(1156 ^ _215295) ^ [] : [-(leq(n0, 1154 ^ []))], (1158 ^ _215295) ^ [] : [-(leq(1154 ^ [], n2))], (1161 ^ _215295) ^ [] : [-(leq(n0, 1159 ^ []))], (1163 ^ _215295) ^ [] : [-(leq(1159 ^ [], n3))], (1165 ^ _215295) ^ [] : [a_select3(simplex7_init, 1159 ^ [], 1154 ^ []) = init]], 1167 ^ _215295 : [(1168 ^ _215295) ^ [] : [-(leq(n0, 1166 ^ []))], (1170 ^ _215295) ^ [] : [-(leq(1166 ^ [], minus(pv1376, n1)))], (1172 ^ _215295) ^ [] : [a_select2(s_values7_init, 1166 ^ []) = init]]], (1071 ^ _215295) ^ [] : [-(init = init)], (1073 ^ _215295) ^ [] : [-(leq(n0, pv7))], (1075 ^ _215295) ^ [] : [-(leq(n0, pv19))], (1077 ^ _215295) ^ [] : [-(leq(n0, pv20))], (1079 ^ _215295) ^ [] : [-(leq(n0, pv1376))], (1081 ^ _215295) ^ [] : [-(leq(pv7, minus(n410, n1)))], (1083 ^ _215295) ^ [] : [-(leq(pv19, minus(n410, n1)))], (1085 ^ _215295) ^ [] : [-(leq(pv20, minus(n330, n1)))], (1087 ^ _215295) ^ [] : [-(leq(pv1376, n3))], (1107 ^ _215295) ^ [_257054] : [-(a_select2(s_values7_init, _257054) = init), leq(n0, _257054), leq(_257054, minus(pv1376, n1))], (1089 ^ _215295) ^ [_256544] : [leq(n0, _256544), leq(_256544, n2), 1096 ^ _215295 : [(1097 ^ _215295) ^ [_256772] : [-(a_select3(simplex7_init, _256772, _256544) = init), leq(n0, _256772), leq(_256772, n3)]]], (2 ^ _215295) ^ [_215439] : [-(_215439 = _215439)], (4 ^ _215295) ^ [_215546, _215548] : [_215548 = _215546, -(_215546 = _215548)], (10 ^ _215295) ^ [_215750, _215752, _215754] : [-(_215754 = _215750), _215754 = _215752, _215752 = _215750], (20 ^ _215295) ^ [_216091, _216093, _216095, _216097] : [-(lt(_216095, _216091)), lt(_216097, _216093), _216097 = _216095, _216093 = _216091], (34 ^ _215295) ^ [_216535, _216537, _216539, _216541] : [-(geq(_216539, _216535)), geq(_216541, _216537), _216541 = _216539, _216537 = _216535], (48 ^ _215295) ^ [_216979, _216981, _216983, _216985] : [-(gt(_216983, _216979)), gt(_216985, _216981), _216985 = _216983, _216981 = _216979], (62 ^ _215295) ^ [_217403, _217405, _217407, _217409] : [-(leq(_217407, _217403)), leq(_217409, _217405), _217409 = _217407, _217405 = _217403], (76 ^ _215295) ^ [_217859, _217861, _217863, _217865] : [-(uniform_int_rnd(_217865, _217861) = uniform_int_rnd(_217863, _217859)), _217865 = _217863, _217861 = _217859], (86 ^ _215295) ^ [_218218, _218220, _218222, _218224] : [-(tptp_const_array1(_218224, _218220) = tptp_const_array1(_218222, _218218)), _218224 = _218222, _218220 = _218218], (96 ^ _215295) ^ [_218605, _218607, _218609, _218611, _218613, _218615] : [-(tptp_const_array2(_218615, _218611, _218607) = tptp_const_array2(_218613, _218609, _218605)), _218615 = _218613, _218611 = _218609, _218607 = _218605], (110 ^ _215295) ^ [_219093, _219095, _219097, _219099] : [-(dim(_219099, _219095) = dim(_219097, _219093)), _219099 = _219097, _219095 = _219093], (120 ^ _215295) ^ [_219424, _219426] : [_219426 = _219424, -(inv(_219426) = inv(_219424))], (126 ^ _215295) ^ [_219670, _219672, _219674, _219676] : [-(tptp_msub(_219676, _219672) = tptp_msub(_219674, _219670)), _219676 = _219674, _219672 = _219670], (136 ^ _215295) ^ [_220029, _220031, _220033, _220035] : [-(tptp_madd(_220035, _220031) = tptp_madd(_220033, _220029)), _220035 = _220033, _220031 = _220029], (146 ^ _215295) ^ [_220388, _220390, _220392, _220394] : [-(tptp_mmul(_220394, _220390) = tptp_mmul(_220392, _220388)), _220394 = _220392, _220390 = _220388], (156 ^ _215295) ^ [_220719, _220721] : [_220721 = _220719, -(trans(_220721) = trans(_220719))], (162 ^ _215295) ^ [_220993, _220995, _220997, _220999, _221001, _221003] : [-(sum(_221003, _220999, _220995) = sum(_221001, _220997, _220993)), _221003 = _221001, _220999 = _220997, _220995 = _220993], (176 ^ _215295) ^ [_221481, _221483, _221485, _221487] : [-(plus(_221487, _221483) = plus(_221485, _221481)), _221487 = _221485, _221483 = _221481], (186 ^ _215295) ^ [_221812, _221814] : [_221814 = _221812, -(pred(_221814) = pred(_221812))], (192 ^ _215295) ^ [_222114, _222116, _222118, _222120, _222122, _222124, _222126, _222128] : [-(tptp_update3(_222128, _222124, _222120, _222116) = tptp_update3(_222126, _222122, _222118, _222114)), _222128 = _222126, _222124 = _222122, _222120 = _222118, _222116 = _222114], (210 ^ _215295) ^ [_222775, _222777, _222779, _222781, _222783, _222785] : [-(tptp_update2(_222785, _222781, _222777) = tptp_update2(_222783, _222779, _222775)), _222785 = _222783, _222781 = _222779, _222777 = _222775], (224 ^ _215295) ^ [_223235, _223237] : [_223237 = _223235, -(succ(_223237) = succ(_223235))], (230 ^ _215295) ^ [_223509, _223511, _223513, _223515, _223517, _223519] : [-(a_select3(_223519, _223515, _223511) = a_select3(_223517, _223513, _223509)), _223519 = _223517, _223515 = _223513, _223511 = _223509], (244 ^ _215295) ^ [_223997, _223999, _224001, _224003] : [-(minus(_224003, _223999) = minus(_224001, _223997)), _224003 = _224001, _223999 = _223997], (254 ^ _215295) ^ [_224336, _224338, _224340, _224342] : [-(a_select2(_224342, _224338) = a_select2(_224340, _224336)), _224342 = _224340, _224338 = _224336], (869 ^ _215295) ^ [] : [-(gt(n5, n4))], (871 ^ _215295) ^ [] : [-(gt(n330, n4))], (873 ^ _215295) ^ [] : [-(gt(n410, n4))], (875 ^ _215295) ^ [] : [-(gt(n330, n5))], (877 ^ _215295) ^ [] : [-(gt(n410, n5))], (879 ^ _215295) ^ [] : [-(gt(n410, n330))], (881 ^ _215295) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _215295) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _215295) ^ [] : [-(gt(n330, tptp_minus_1))], (887 ^ _215295) ^ [] : [-(gt(n410, tptp_minus_1))], (889 ^ _215295) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _215295) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _215295) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _215295) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _215295) ^ [] : [-(gt(n4, n0))], (899 ^ _215295) ^ [] : [-(gt(n5, n0))], (901 ^ _215295) ^ [] : [-(gt(n330, n0))], (903 ^ _215295) ^ [] : [-(gt(n410, n0))], (905 ^ _215295) ^ [] : [-(gt(n1, n0))], (907 ^ _215295) ^ [] : [-(gt(n2, n0))], (909 ^ _215295) ^ [] : [-(gt(n3, n0))], (911 ^ _215295) ^ [] : [-(gt(n4, n1))], (913 ^ _215295) ^ [] : [-(gt(n5, n1))], (915 ^ _215295) ^ [] : [-(gt(n330, n1))], (917 ^ _215295) ^ [] : [-(gt(n410, n1))], (919 ^ _215295) ^ [] : [-(gt(n2, n1))], (921 ^ _215295) ^ [] : [-(gt(n3, n1))], (923 ^ _215295) ^ [] : [-(gt(n4, n2))], (925 ^ _215295) ^ [] : [-(gt(n5, n2))], (927 ^ _215295) ^ [] : [-(gt(n330, n2))], (929 ^ _215295) ^ [] : [-(gt(n410, n2))], (931 ^ _215295) ^ [] : [-(gt(n3, n2))], (933 ^ _215295) ^ [] : [-(gt(n4, n3))], (935 ^ _215295) ^ [] : [-(gt(n5, n3))], (937 ^ _215295) ^ [] : [-(gt(n330, n3))], (939 ^ _215295) ^ [] : [-(gt(n410, n3))], (941 ^ _215295) ^ [_252600] : [leq(n0, _252600), leq(_252600, n4), -(_252600 = n0), -(_252600 = n1), -(_252600 = n2), -(_252600 = n3), -(_252600 = n4)], (967 ^ _215295) ^ [_253221] : [leq(n0, _253221), leq(_253221, n5), -(_253221 = n0), -(_253221 = n1), -(_253221 = n2), -(_253221 = n3), -(_253221 = n4), -(_253221 = n5)], (997 ^ _215295) ^ [_253928] : [-(_253928 = n0), leq(n0, _253928), leq(_253928, n0)], (1007 ^ _215295) ^ [_254203] : [leq(n0, _254203), leq(_254203, n1), -(_254203 = n0), -(_254203 = n1)], (1021 ^ _215295) ^ [_254566] : [leq(n0, _254566), leq(_254566, n2), -(_254566 = n0), -(_254566 = n1), -(_254566 = n2)], (1061 ^ _215295) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1063 ^ _215295) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1065 ^ _215295) ^ [] : [-(succ(n0) = n1)], (1067 ^ _215295) ^ [] : [-(succ(succ(n0)) = n2)], (1069 ^ _215295) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1039 ^ _215295) ^ [_255015] : [leq(n0, _255015), leq(_255015, n3), -(_255015 = n0), -(_255015 = n1), -(_255015 = n2), -(_255015 = n3)], (264 ^ _215295) ^ [_224767, _224769] : [-(gt(_224769, _224767)), -(gt(_224767, _224769)), -(_224769 = _224767)], (274 ^ _215295) ^ [_225082, _225084, _225086] : [-(gt(_225086, _225082)), gt(_225086, _225084), gt(_225084, _225082)], (284 ^ _215295) ^ [_225361] : [gt(_225361, _225361)], (286 ^ _215295) ^ [_225439] : [-(leq(_225439, _225439))], (288 ^ _215295) ^ [_225560, _225562, _225564] : [-(leq(_225564, _225560)), leq(_225564, _225562), leq(_225562, _225560)], (298 ^ _215295) ^ [_225898, _225900] : [lt(_225900, _225898), -(gt(_225898, _225900))], (304 ^ _215295) ^ [_226060, _226062] : [gt(_226060, _226062), -(lt(_226062, _226060))], (310 ^ _215295) ^ [_226301, _226303] : [geq(_226303, _226301), -(leq(_226301, _226303))], (316 ^ _215295) ^ [_226463, _226465] : [leq(_226463, _226465), -(geq(_226465, _226463))], (322 ^ _215295) ^ [_226675, _226677] : [gt(_226675, _226677), -(leq(_226677, _226675))], (328 ^ _215295) ^ [_226885, _226887] : [-(gt(_226885, _226887)), leq(_226887, _226885), -(_226887 = _226885)], (338 ^ _215295) ^ [_227216, _227218] : [leq(_227218, pred(_227216)), -(gt(_227216, _227218))], (344 ^ _215295) ^ [_227382, _227384] : [gt(_227382, _227384), -(leq(_227384, pred(_227382)))], (350 ^ _215295) ^ [_227569] : [-(gt(succ(_227569), _227569))], (352 ^ _215295) ^ [_227678, _227680] : [leq(_227680, _227678), -(leq(_227680, succ(_227678)))], (358 ^ _215295) ^ [_227921, _227923] : [leq(_227923, _227921), -(gt(succ(_227921), _227923))], (364 ^ _215295) ^ [_228087, _228089] : [gt(succ(_228087), _228089), -(leq(_228089, _228087))], (370 ^ _215295) ^ [_228303, _228305] : [leq(n0, _228305), -(leq(uniform_int_rnd(_228303, _228305), _228305))], (376 ^ _215295) ^ [_228519, _228521] : [leq(n0, _228521), -(leq(n0, uniform_int_rnd(_228519, _228521)))], (382 ^ _215295) ^ [_228763, _228765, _228767, _228769] : [-(a_select2(tptp_const_array1(dim(_228767, _228765), _228763), _228769) = _228763), leq(_228767, _228769), leq(_228769, _228765)], (392 ^ _215295) ^ [_229170, _229172, _229174, _229176, _229178, _229180, _229182] : [-(a_select3(tptp_const_array2(dim(_229180, _229178), dim(_229174, _229172), _229170), _229182, _229176) = _229170), leq(_229180, _229182), leq(_229182, _229178), leq(_229174, _229176), leq(_229176, _229172)], (410 ^ _215295) ^ [_229765, _229767] : [413 ^ _215295 : [(414 ^ _215295) ^ [] : [-(leq(n0, 411 ^ [_229765, _229767]))], (416 ^ _215295) ^ [] : [-(leq(411 ^ [_229765, _229767], _229765))], (418 ^ _215295) ^ [] : [-(leq(n0, 412 ^ [_229765, _229767]))], (420 ^ _215295) ^ [] : [-(leq(412 ^ [_229765, _229767], _229765))], (422 ^ _215295) ^ [] : [a_select3(_229767, 411 ^ [_229765, _229767], 412 ^ [_229765, _229767]) = a_select3(_229767, 412 ^ [_229765, _229767], 411 ^ [_229765, _229767])]], 423 ^ _215295 : [(424 ^ _215295) ^ [_230522, _230524] : [-(a_select3(trans(_229767), _230524, _230522) = a_select3(trans(_229767), _230522, _230524)), leq(n0, _230524), leq(_230524, _229765), leq(n0, _230522), leq(_230522, _229765)]]], (442 ^ _215295) ^ [_231069, _231071] : [445 ^ _215295 : [(446 ^ _215295) ^ [] : [-(leq(n0, 443 ^ [_231069, _231071]))], (448 ^ _215295) ^ [] : [-(leq(443 ^ [_231069, _231071], _231069))], (450 ^ _215295) ^ [] : [-(leq(n0, 444 ^ [_231069, _231071]))], (452 ^ _215295) ^ [] : [-(leq(444 ^ [_231069, _231071], _231069))], (454 ^ _215295) ^ [] : [a_select3(_231071, 443 ^ [_231069, _231071], 444 ^ [_231069, _231071]) = a_select3(_231071, 444 ^ [_231069, _231071], 443 ^ [_231069, _231071])]], 455 ^ _215295 : [(456 ^ _215295) ^ [_231826, _231828] : [-(a_select3(inv(_231071), _231828, _231826) = a_select3(inv(_231071), _231826, _231828)), leq(n0, _231828), leq(_231828, _231069), leq(n0, _231826), leq(_231826, _231069)]]], (474 ^ _215295) ^ [_232373, _232375] : [477 ^ _215295 : [(478 ^ _215295) ^ [] : [-(leq(n0, 475 ^ [_232373, _232375]))], (480 ^ _215295) ^ [] : [-(leq(475 ^ [_232373, _232375], _232373))], (482 ^ _215295) ^ [] : [-(leq(n0, 476 ^ [_232373, _232375]))], (484 ^ _215295) ^ [] : [-(leq(476 ^ [_232373, _232375], _232373))], (486 ^ _215295) ^ [] : [a_select3(_232375, 475 ^ [_232373, _232375], 476 ^ [_232373, _232375]) = a_select3(_232375, 476 ^ [_232373, _232375], 475 ^ [_232373, _232375])]], 487 ^ _215295 : [(488 ^ _215295) ^ [_233186, _233188, _233190, _233192] : [-(a_select3(tptp_update3(_232375, _233188, _233188, _233186), _233192, _233190) = a_select3(tptp_update3(_232375, _233188, _233188, _233186), _233190, _233192)), leq(n0, _233192), leq(_233192, _232373), leq(n0, _233190), leq(_233190, _232373), leq(n0, _233188), leq(_233188, _232373)]]], (514 ^ _215295) ^ [_234005, _234007, _234009] : [519 ^ _215295 : [(520 ^ _215295) ^ [] : [-(leq(n0, 517 ^ [_234005, _234007, _234009]))], (522 ^ _215295) ^ [] : [-(leq(517 ^ [_234005, _234007, _234009], _234005))], (524 ^ _215295) ^ [] : [-(leq(n0, 518 ^ [_234005, _234007, _234009]))], (526 ^ _215295) ^ [] : [-(leq(518 ^ [_234005, _234007, _234009], _234005))], (528 ^ _215295) ^ [] : [a_select3(_234009, 517 ^ [_234005, _234007, _234009], 518 ^ [_234005, _234007, _234009]) = a_select3(_234009, 518 ^ [_234005, _234007, _234009], 517 ^ [_234005, _234007, _234009])]], 531 ^ _215295 : [(532 ^ _215295) ^ [] : [-(leq(n0, 529 ^ [_234005, _234007, _234009]))], (534 ^ _215295) ^ [] : [-(leq(529 ^ [_234005, _234007, _234009], _234005))], (536 ^ _215295) ^ [] : [-(leq(n0, 530 ^ [_234005, _234007, _234009]))], (538 ^ _215295) ^ [] : [-(leq(530 ^ [_234005, _234007, _234009], _234005))], (540 ^ _215295) ^ [] : [a_select3(_234007, 529 ^ [_234005, _234007, _234009], 530 ^ [_234005, _234007, _234009]) = a_select3(_234007, 530 ^ [_234005, _234007, _234009], 529 ^ [_234005, _234007, _234009])]], 541 ^ _215295 : [(542 ^ _215295) ^ [_235514, _235516] : [-(a_select3(tptp_madd(_234009, _234007), _235516, _235514) = a_select3(tptp_madd(_234009, _234007), _235514, _235516)), leq(n0, _235516), leq(_235516, _234005), leq(n0, _235514), leq(_235514, _234005)]]], (560 ^ _215295) ^ [_236100, _236102, _236104] : [565 ^ _215295 : [(566 ^ _215295) ^ [] : [-(leq(n0, 563 ^ [_236100, _236102, _236104]))], (568 ^ _215295) ^ [] : [-(leq(563 ^ [_236100, _236102, _236104], _236100))], (570 ^ _215295) ^ [] : [-(leq(n0, 564 ^ [_236100, _236102, _236104]))], (572 ^ _215295) ^ [] : [-(leq(564 ^ [_236100, _236102, _236104], _236100))], (574 ^ _215295) ^ [] : [a_select3(_236104, 563 ^ [_236100, _236102, _236104], 564 ^ [_236100, _236102, _236104]) = a_select3(_236104, 564 ^ [_236100, _236102, _236104], 563 ^ [_236100, _236102, _236104])]], 577 ^ _215295 : [(578 ^ _215295) ^ [] : [-(leq(n0, 575 ^ [_236100, _236102, _236104]))], (580 ^ _215295) ^ [] : [-(leq(575 ^ [_236100, _236102, _236104], _236100))], (582 ^ _215295) ^ [] : [-(leq(n0, 576 ^ [_236100, _236102, _236104]))], (584 ^ _215295) ^ [] : [-(leq(576 ^ [_236100, _236102, _236104], _236100))], (586 ^ _215295) ^ [] : [a_select3(_236102, 575 ^ [_236100, _236102, _236104], 576 ^ [_236100, _236102, _236104]) = a_select3(_236102, 576 ^ [_236100, _236102, _236104], 575 ^ [_236100, _236102, _236104])]], 587 ^ _215295 : [(588 ^ _215295) ^ [_237609, _237611] : [-(a_select3(tptp_msub(_236104, _236102), _237611, _237609) = a_select3(tptp_msub(_236104, _236102), _237609, _237611)), leq(n0, _237611), leq(_237611, _236100), leq(n0, _237609), leq(_237609, _236100)]]], (606 ^ _215295) ^ [_238195, _238197, _238199] : [609 ^ _215295 : [(610 ^ _215295) ^ [] : [-(leq(n0, 607 ^ [_238195, _238197, _238199]))], (612 ^ _215295) ^ [] : [-(leq(607 ^ [_238195, _238197, _238199], _238195))], (614 ^ _215295) ^ [] : [-(leq(n0, 608 ^ [_238195, _238197, _238199]))], (616 ^ _215295) ^ [] : [-(leq(608 ^ [_238195, _238197, _238199], _238195))], (618 ^ _215295) ^ [] : [a_select3(_238197, 607 ^ [_238195, _238197, _238199], 608 ^ [_238195, _238197, _238199]) = a_select3(_238197, 608 ^ [_238195, _238197, _238199], 607 ^ [_238195, _238197, _238199])]], 619 ^ _215295 : [(620 ^ _215295) ^ [_239008, _239010] : [-(a_select3(tptp_mmul(_238199, tptp_mmul(_238197, trans(_238199))), _239010, _239008) = a_select3(tptp_mmul(_238199, tptp_mmul(_238197, trans(_238199))), _239008, _239010)), leq(n0, _239010), leq(_239010, _238195), leq(n0, _239008), leq(_239008, _238195)]]], (638 ^ _215295) ^ [_239627, _239629, _239631, _239633] : [641 ^ _215295 : [(642 ^ _215295) ^ [] : [-(leq(n0, 639 ^ [_239627, _239629, _239631, _239633]))], (644 ^ _215295) ^ [] : [-(leq(639 ^ [_239627, _239629, _239631, _239633], _239627))], (646 ^ _215295) ^ [] : [-(leq(n0, 640 ^ [_239627, _239629, _239631, _239633]))], (648 ^ _215295) ^ [] : [-(leq(640 ^ [_239627, _239629, _239631, _239633], _239627))], (650 ^ _215295) ^ [] : [a_select3(_239631, 639 ^ [_239627, _239629, _239631, _239633], 640 ^ [_239627, _239629, _239631, _239633]) = a_select3(_239631, 640 ^ [_239627, _239629, _239631, _239633], 639 ^ [_239627, _239629, _239631, _239633])]], 651 ^ _215295 : [(652 ^ _215295) ^ [_240484, _240486] : [-(a_select3(tptp_mmul(_239633, tptp_mmul(_239631, trans(_239633))), _240486, _240484) = a_select3(tptp_mmul(_239633, tptp_mmul(_239631, trans(_239633))), _240484, _240486)), leq(n0, _240486), leq(_240486, _239629), leq(n0, _240484), leq(_240484, _239629)]]], (670 ^ _215295) ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193] : [675 ^ _215295 : [(676 ^ _215295) ^ [] : [-(leq(n0, 673 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (678 ^ _215295) ^ [] : [-(leq(673 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241179))], (680 ^ _215295) ^ [] : [-(leq(n0, 674 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (682 ^ _215295) ^ [] : [-(leq(674 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241179))], (684 ^ _215295) ^ [] : [a_select3(_241187, 673 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 674 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]) = a_select3(_241187, 674 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 673 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193])]], 689 ^ _215295 : [(690 ^ _215295) ^ [] : [-(leq(n0, 687 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (692 ^ _215295) ^ [] : [-(leq(687 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241181))], (694 ^ _215295) ^ [] : [-(leq(n0, 688 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (696 ^ _215295) ^ [] : [-(leq(688 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241181))], (698 ^ _215295) ^ [] : [a_select3(_241193, 687 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 688 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]) = a_select3(_241193, 688 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 687 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193])]], 701 ^ _215295 : [(702 ^ _215295) ^ [] : [-(leq(n0, 699 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (704 ^ _215295) ^ [] : [-(leq(699 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241181))], (706 ^ _215295) ^ [] : [-(leq(n0, 700 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]))], (708 ^ _215295) ^ [] : [-(leq(700 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], _241181))], (710 ^ _215295) ^ [] : [a_select3(_241183, 699 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 700 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193]) = a_select3(_241183, 700 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193], 699 ^ [_241179, _241181, _241183, _241185, _241187, _241189, _241191, _241193])]], 711 ^ _215295 : [(712 ^ _215295) ^ [_244107, _244109] : [-(a_select3(tptp_madd(_241193, tptp_mmul(_241191, tptp_mmul(tptp_madd(tptp_mmul(_241189, tptp_mmul(_241187, trans(_241189))), tptp_mmul(_241185, tptp_mmul(_241183, trans(_241185)))), trans(_241191)))), _244109, _244107) = a_select3(tptp_madd(_241193, tptp_mmul(_241191, tptp_mmul(tptp_madd(tptp_mmul(_241189, tptp_mmul(_241187, trans(_241189))), tptp_mmul(_241185, tptp_mmul(_241183, trans(_241185)))), trans(_241191)))), _244107, _244109)), leq(n0, _244109), leq(_244109, _241181), leq(n0, _244107), leq(_244107, _241181)]]], (730 ^ _215295) ^ [_244860] : [-(sum(n0, tptp_minus_1, _244860) = n0)], (732 ^ _215295) ^ [_244942] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _244942))], (734 ^ _215295) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _215295) ^ [_245077] : [-(plus(_245077, n1) = succ(_245077))], (738 ^ _215295) ^ [_245160] : [-(plus(n1, _245160) = succ(_245160))], (740 ^ _215295) ^ [_245243] : [-(plus(_245243, n2) = succ(succ(_245243)))], (742 ^ _215295) ^ [_245328] : [-(plus(n2, _245328) = succ(succ(_245328)))], (744 ^ _215295) ^ [_245413] : [-(plus(_245413, n3) = succ(succ(succ(_245413))))], (746 ^ _215295) ^ [_245500] : [-(plus(n3, _245500) = succ(succ(succ(_245500))))], (748 ^ _215295) ^ [_245587] : [-(plus(_245587, n4) = succ(succ(succ(succ(_245587)))))], (750 ^ _215295) ^ [_245676] : [-(plus(n4, _245676) = succ(succ(succ(succ(_245676)))))], (752 ^ _215295) ^ [_245765] : [-(plus(_245765, n5) = succ(succ(succ(succ(succ(_245765))))))], (754 ^ _215295) ^ [_245856] : [-(plus(n5, _245856) = succ(succ(succ(succ(succ(_245856))))))], (756 ^ _215295) ^ [_245947] : [-(minus(_245947, n1) = pred(_245947))], (758 ^ _215295) ^ [_246030] : [-(pred(succ(_246030)) = _246030)], (760 ^ _215295) ^ [_246112] : [-(succ(pred(_246112)) = _246112)], (762 ^ _215295) ^ [_246252, _246254] : [leq(succ(_246254), succ(_246252)), -(leq(_246254, _246252))], (768 ^ _215295) ^ [_246422, _246424] : [leq(_246424, _246422), -(leq(succ(_246424), succ(_246422)))], (774 ^ _215295) ^ [_246642, _246644] : [leq(succ(_246644), _246642), -(gt(_246642, _246644))], (780 ^ _215295) ^ [_246856, _246858] : [leq(minus(_246858, _246856), _246858), -(leq(n0, _246856))], (786 ^ _215295) ^ [_247085, _247087, _247089, _247091] : [-(a_select3(tptp_update3(_247091, _247089, _247087, _247085), _247089, _247087) = _247085)], (788 ^ _215295) ^ [_247277, _247279, _247281, _247283, _247285, _247287, _247289] : [-(a_select3(tptp_update3(_247281, _247289, _247287, _247277), _247285, _247283) = _247279), -(_247289 = _247285), _247287 = _247283, a_select3(_247281, _247285, _247283) = _247279], (802 ^ _215295) ^ [_247820, _247822, _247824, _247826, _247828, _247830] : [-(a_select3(tptp_update3(_247822, _247826, _247824, _247820), _247830, _247828) = _247820), 807 ^ _215295 : [(808 ^ _215295) ^ [] : [-(leq(n0, 805 ^ [_247820, _247822, _247824, _247826, _247828, _247830]))], (810 ^ _215295) ^ [] : [-(leq(n0, 806 ^ [_247820, _247822, _247824, _247826, _247828, _247830]))], (812 ^ _215295) ^ [] : [-(leq(805 ^ [_247820, _247822, _247824, _247826, _247828, _247830], _247826))], (814 ^ _215295) ^ [] : [-(leq(806 ^ [_247820, _247822, _247824, _247826, _247828, _247830], _247824))], (816 ^ _215295) ^ [] : [a_select3(_247822, 805 ^ [_247820, _247822, _247824, _247826, _247828, _247830], 806 ^ [_247820, _247822, _247824, _247826, _247828, _247830]) = _247820]], leq(n0, _247830), leq(_247830, _247826), leq(n0, _247828), leq(_247828, _247824)], (834 ^ _215295) ^ [_249162, _249164, _249166] : [-(a_select2(tptp_update2(_249166, _249164, _249162), _249164) = _249162)], (836 ^ _215295) ^ [_249322, _249324, _249326, _249328, _249330] : [-(a_select2(tptp_update2(_249326, _249330, _249322), _249328) = _249324), -(_249330 = _249328), a_select2(_249326, _249328) = _249324], (865 ^ _215295) ^ [] : [-(true)], (867 ^ _215295) ^ [] : [def = use], (846 ^ _215295) ^ [_249702, _249704, _249706, _249708] : [-(a_select2(tptp_update2(_249704, _249706, _249702), _249708) = _249702), 850 ^ _215295 : [(851 ^ _215295) ^ [] : [-(leq(n0, 849 ^ [_249702, _249704, _249706, _249708]))], (853 ^ _215295) ^ [] : [-(leq(849 ^ [_249702, _249704, _249706, _249708], _249706))], (855 ^ _215295) ^ [] : [a_select2(_249704, 849 ^ [_249702, _249704, _249706, _249708]) = _249702]], leq(n0, _249708), leq(_249708, _249706)]], input).
% 0.21/1.32  ncf('1',plain,[init = init, leq(n0, pv7), leq(n0, pv19), leq(n0, pv20), leq(n0, pv1376), leq(pv7, minus(n410, n1)), leq(pv19, minus(n410, n1)), leq(pv20, minus(n330, n1)), leq(pv1376, n3), 1165 : a_select3(simplex7_init, 1159 ^ [], 1154 ^ []) = init, 1172 : a_select2(s_values7_init, 1166 ^ []) = init],start(1117 ^ 0)).
% 0.21/1.32  ncf('1.1',plain,[-(init = init)],extension(1071 ^ 1)).
% 0.21/1.32  ncf('1.2',plain,[-(leq(n0, pv7))],extension(1073 ^ 1)).
% 0.21/1.32  ncf('1.3',plain,[-(leq(n0, pv19))],extension(1075 ^ 1)).
% 0.21/1.32  ncf('1.4',plain,[-(leq(n0, pv20))],extension(1077 ^ 1)).
% 0.21/1.32  ncf('1.5',plain,[-(leq(n0, pv1376))],extension(1079 ^ 1)).
% 0.21/1.32  ncf('1.6',plain,[-(leq(pv7, minus(n410, n1)))],extension(1081 ^ 1)).
% 0.21/1.32  ncf('1.7',plain,[-(leq(pv19, minus(n410, n1)))],extension(1083 ^ 1)).
% 0.21/1.32  ncf('1.8',plain,[-(leq(pv20, minus(n330, n1)))],extension(1085 ^ 1)).
% 0.21/1.32  ncf('1.9',plain,[-(leq(pv1376, n3))],extension(1087 ^ 1)).
% 0.21/1.32  ncf('1.10',plain,[-(a_select3(simplex7_init, 1159 ^ [], 1154 ^ []) = init), 1097 : leq(n0, 1159 ^ []), 1097 : leq(1159 ^ [], n3), 1097 : leq(n0, 1154 ^ []), 1097 : leq(1154 ^ [], n2)],extension(1089 ^ 3,bind([[_256544, _256772], [1154 ^ [], 1159 ^ []]]))).
% 0.21/1.32  ncf('1.10.1',plain,[-(leq(n0, 1159 ^ []))],extension(1161 ^ 6)).
% 0.21/1.32  ncf('1.10.2',plain,[-(leq(1159 ^ [], n3))],extension(1163 ^ 6)).
% 0.21/1.32  ncf('1.10.3',plain,[-(leq(n0, 1154 ^ []))],extension(1156 ^ 4)).
% 0.21/1.32  ncf('1.10.4',plain,[-(leq(1154 ^ [], n2))],extension(1158 ^ 4)).
% 0.21/1.32  ncf('1.11',plain,[-(a_select2(s_values7_init, 1166 ^ []) = init), leq(n0, 1166 ^ []), leq(1166 ^ [], minus(pv1376, n1))],extension(1107 ^ 3,bind([[_257054], [1166 ^ []]]))).
% 0.21/1.32  ncf('1.11.1',plain,[-(leq(n0, 1166 ^ []))],extension(1168 ^ 4)).
% 0.21/1.32  ncf('1.11.2',plain,[-(leq(1166 ^ [], minus(pv1376, n1)))],extension(1170 ^ 4)).
% 0.21/1.32  %-----------------------------------------------------
% 0.21/1.32  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------