%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV140+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 12:20:02 EDT 2023

% Result   : Theorem 46.26s 44.81s
% Output   : Proof 46.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV140+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 03:01:28 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 46.26/44.81  
% 46.26/44.81  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 46.26/44.81  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.26/44.81  %-----------------------------------------------------
% 46.26/44.81  ncf(matrix, plain, [(1043 ^ _259144) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259144) ^ [] : [leq(n0, s_sworst7)], (1105 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259144) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259144) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219346) ^ [_222636, _222638, _222640, _222642, _222644, _222646] : [-(tptp_const_array2(_222646, _222642, _222638) = tptp_const_array2(_222644, _222640, _222636)), _222646 = _222644, _222642 = _222640, _222638 = _222636], (734 ^ _219346) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219346) ^ [_233201, _233203, _233205, _233207, _233209, _233211, _233213] : [-(a_select3(tptp_const_array2(dim(_233211, _233209), dim(_233205, _233203), _233201), _233213, _233207) = _233201), leq(_233211, _233213), leq(_233213, _233209), leq(_233205, _233207), leq(_233207, _233203)], (86 ^ _219346) ^ [_222249, _222251, _222253, _222255] : [-(tptp_const_array1(_222255, _222251) = tptp_const_array1(_222253, _222249)), _222255 = _222253, _222251 = _222249], (1039 ^ _219346) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219346) ^ [_226089, _226091, _226093, _226095] : [-(minus(_226095, _226091) = minus(_226093, _226089)), _226095 = _226093, _226091 = _226089], (146 ^ _219346) ^ [_224419, _224421, _224423, _224425] : [-(tptp_mmul(_224425, _224421) = tptp_mmul(_224423, _224419)), _224425 = _224423, _224421 = _224419], (893 ^ _219346) ^ [] : [-(gt(n4, n1))], (889 ^ _219346) ^ [] : [-(gt(n2, n0))], (288 ^ _219346) ^ [_229591, _229593, _229595] : [-(leq(_229595, _229591)), leq(_229595, _229593), leq(_229593, _229591)], (474 ^ _219346) ^ [_236404, _236406] : [477 ^ _219346 : [(478 ^ _219346) ^ [] : [-(leq(n0, 475 ^ [_236404, _236406]))], (482 ^ _219346) ^ [] : [-(leq(n0, 476 ^ [_236404, _236406]))], (486 ^ _219346) ^ [] : [a_select3(_236406, 475 ^ [_236404, _236406], 476 ^ [_236404, _236406]) = a_select3(_236406, 476 ^ [_236404, _236406], 475 ^ [_236404, _236406])], (484 ^ _219346) ^ [] : [-(leq(476 ^ [_236404, _236406], _236404))], (480 ^ _219346) ^ [] : [-(leq(475 ^ [_236404, _236406], _236404))]], 487 ^ _219346 : [(488 ^ _219346) ^ [_237217, _237219, _237221, _237223] : [-(a_select3(tptp_update3(_236406, _237219, _237219, _237217), _237223, _237221) = a_select3(tptp_update3(_236406, _237219, _237219, _237217), _237221, _237223)), leq(n0, _237223), leq(_237223, _236404), leq(n0, _237221), leq(_237221, _236404), leq(n0, _237219), leq(_237219, _236404)]]], (370 ^ _219346) ^ [_232334, _232336] : [leq(n0, _232336), -(leq(uniform_int_rnd(_232334, _232336), _232336))], (76 ^ _219346) ^ [_221890, _221892, _221894, _221896] : [-(uniform_int_rnd(_221896, _221892) = uniform_int_rnd(_221894, _221890)), _221896 = _221894, _221892 = _221890], (186 ^ _219346) ^ [_225843, _225845] : [_225845 = _225843, -(pred(_225845) = pred(_225843))], (316 ^ _219346) ^ [_230494, _230496] : [leq(_230494, _230496), -(geq(_230496, _230494))], (905 ^ _219346) ^ [] : [-(gt(n3, n2))], (732 ^ _219346) ^ [_248973] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248973))], (258 ^ _219346) ^ [_228480, _228482] : [_228482 = _228480, -(succ(_228482) = succ(_228480))], (991 ^ _219346) ^ [_257802] : [leq(n0, _257802), leq(_257802, n2), -(_257802 = n0), -(_257802 = n1), -(_257802 = n2)], (350 ^ _219346) ^ [_231600] : [-(gt(succ(_231600), _231600))], (742 ^ _219346) ^ [_249359] : [-(plus(n2, _249359) = succ(succ(_249359)))], (977 ^ _219346) ^ [_257439] : [leq(n0, _257439), leq(_257439, n1), -(_257439 = n0), -(_257439 = n1)], (286 ^ _219346) ^ [_229470] : [-(leq(_229470, _229470))], (344 ^ _219346) ^ [_231413, _231415] : [gt(_231413, _231415), -(leq(_231415, pred(_231413)))], (2 ^ _219346) ^ [_219470] : [-(_219470 = _219470)], (10 ^ _219346) ^ [_219781, _219783, _219785] : [-(_219785 = _219781), _219785 = _219783, _219783 = _219781], (1035 ^ _219346) ^ [] : [-(succ(n0) = n1)], (877 ^ _219346) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219346) ^ [_243658, _243660, _243662, _243664] : [641 ^ _219346 : [(642 ^ _219346) ^ [] : [-(leq(n0, 639 ^ [_243658, _243660, _243662, _243664]))], (646 ^ _219346) ^ [] : [-(leq(n0, 640 ^ [_243658, _243660, _243662, _243664]))], (650 ^ _219346) ^ [] : [a_select3(_243662, 639 ^ [_243658, _243660, _243662, _243664], 640 ^ [_243658, _243660, _243662, _243664]) = a_select3(_243662, 640 ^ [_243658, _243660, _243662, _243664], 639 ^ [_243658, _243660, _243662, _243664])], (648 ^ _219346) ^ [] : [-(leq(640 ^ [_243658, _243660, _243662, _243664], _243658))], (644 ^ _219346) ^ [] : [-(leq(639 ^ [_243658, _243660, _243662, _243664], _243658))]], 651 ^ _219346 : [(652 ^ _219346) ^ [_244515, _244517] : [-(a_select3(tptp_mmul(_243664, tptp_mmul(_243662, trans(_243664))), _244517, _244515) = a_select3(tptp_mmul(_243664, tptp_mmul(_243662, trans(_243664))), _244515, _244517)), leq(n0, _244517), leq(_244517, _243660), leq(n0, _244515), leq(_244515, _243660)]]], (670 ^ _219346) ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224] : [675 ^ _219346 : [(676 ^ _219346) ^ [] : [-(leq(n0, 673 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (680 ^ _219346) ^ [] : [-(leq(n0, 674 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (684 ^ _219346) ^ [] : [a_select3(_245218, 673 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 674 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]) = a_select3(_245218, 674 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 673 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224])], (682 ^ _219346) ^ [] : [-(leq(674 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245210))], (678 ^ _219346) ^ [] : [-(leq(673 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245210))]], 689 ^ _219346 : [(690 ^ _219346) ^ [] : [-(leq(n0, 687 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (694 ^ _219346) ^ [] : [-(leq(n0, 688 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (698 ^ _219346) ^ [] : [a_select3(_245224, 687 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 688 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]) = a_select3(_245224, 688 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 687 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224])], (696 ^ _219346) ^ [] : [-(leq(688 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245212))], (692 ^ _219346) ^ [] : [-(leq(687 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245212))]], 701 ^ _219346 : [(702 ^ _219346) ^ [] : [-(leq(n0, 699 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (706 ^ _219346) ^ [] : [-(leq(n0, 700 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]))], (710 ^ _219346) ^ [] : [a_select3(_245214, 699 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 700 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224]) = a_select3(_245214, 700 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], 699 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224])], (708 ^ _219346) ^ [] : [-(leq(700 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245212))], (704 ^ _219346) ^ [] : [-(leq(699 ^ [_245210, _245212, _245214, _245216, _245218, _245220, _245222, _245224], _245212))]], 711 ^ _219346 : [(712 ^ _219346) ^ [_248138, _248140] : [-(a_select3(tptp_madd(_245224, tptp_mmul(_245222, tptp_mmul(tptp_madd(tptp_mmul(_245220, tptp_mmul(_245218, trans(_245220))), tptp_mmul(_245216, tptp_mmul(_245214, trans(_245216)))), trans(_245222)))), _248140, _248138) = a_select3(tptp_madd(_245224, tptp_mmul(_245222, tptp_mmul(tptp_madd(tptp_mmul(_245220, tptp_mmul(_245218, trans(_245220))), tptp_mmul(_245216, tptp_mmul(_245214, trans(_245216)))), trans(_245222)))), _248138, _248140)), leq(n0, _248140), leq(_248140, _245212), leq(n0, _248138), leq(_248138, _245212)]]], (873 ^ _219346) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219346) ^ [_242226, _242228, _242230] : [609 ^ _219346 : [(610 ^ _219346) ^ [] : [-(leq(n0, 607 ^ [_242226, _242228, _242230]))], (614 ^ _219346) ^ [] : [-(leq(n0, 608 ^ [_242226, _242228, _242230]))], (618 ^ _219346) ^ [] : [a_select3(_242228, 607 ^ [_242226, _242228, _242230], 608 ^ [_242226, _242228, _242230]) = a_select3(_242228, 608 ^ [_242226, _242228, _242230], 607 ^ [_242226, _242228, _242230])], (616 ^ _219346) ^ [] : [-(leq(608 ^ [_242226, _242228, _242230], _242226))], (612 ^ _219346) ^ [] : [-(leq(607 ^ [_242226, _242228, _242230], _242226))]], 619 ^ _219346 : [(620 ^ _219346) ^ [_243039, _243041] : [-(a_select3(tptp_mmul(_242230, tptp_mmul(_242228, trans(_242230))), _243041, _243039) = a_select3(tptp_mmul(_242230, tptp_mmul(_242228, trans(_242230))), _243039, _243041)), leq(n0, _243041), leq(_243041, _242226), leq(n0, _243039), leq(_243039, _242226)]]], (756 ^ _219346) ^ [_249978] : [-(minus(_249978, n1) = pred(_249978))], (244 ^ _219346) ^ [_228040, _228042, _228044, _228046, _228048, _228050] : [-(tptp_update2(_228050, _228046, _228042) = tptp_update2(_228048, _228044, _228040)), _228050 = _228048, _228046 = _228044, _228042 = _228040], (891 ^ _219346) ^ [] : [-(gt(n3, n0))], (264 ^ _219346) ^ [_228798, _228800] : [-(gt(_228800, _228798)), -(gt(_228798, _228800)), -(_228800 = _228798)], (869 ^ _219346) ^ [] : [-(gt(n5, n4))], (156 ^ _219346) ^ [_224750, _224752] : [_224752 = _224750, -(trans(_224752) = trans(_224750))], (382 ^ _219346) ^ [_232794, _232796, _232798, _232800] : [-(a_select2(tptp_const_array1(dim(_232798, _232796), _232794), _232800) = _232794), leq(_232798, _232800), leq(_232800, _232796)], (865 ^ _219346) ^ [] : [-(true)], (364 ^ _219346) ^ [_232118, _232120] : [gt(succ(_232118), _232120), -(leq(_232120, _232118))], (883 ^ _219346) ^ [] : [-(gt(n4, n0))], (911 ^ _219346) ^ [_255836] : [leq(n0, _255836), leq(_255836, n4), -(_255836 = n0), -(_255836 = n1), -(_255836 = n2), -(_255836 = n3), -(_255836 = n4)], (352 ^ _219346) ^ [_231709, _231711] : [leq(_231711, _231709), -(leq(_231711, succ(_231709)))], (274 ^ _219346) ^ [_229113, _229115, _229117] : [-(gt(_229117, _229113)), gt(_229117, _229115), gt(_229115, _229113)], (20 ^ _219346) ^ [_220122, _220124, _220126, _220128] : [-(lt(_220126, _220122)), lt(_220128, _220124), _220128 = _220126, _220124 = _220122], (937 ^ _219346) ^ [_256457] : [leq(n0, _256457), leq(_256457, n5), -(_256457 = n0), -(_256457 = n1), -(_256457 = n2), -(_256457 = n3), -(_256457 = n4), -(_256457 = n5)], (1009 ^ _219346) ^ [_258251] : [leq(n0, _258251), leq(_258251, n3), -(_258251 = n0), -(_258251 = n1), -(_258251 = n2), -(_258251 = n3)], (162 ^ _219346) ^ [_225024, _225026, _225028, _225030, _225032, _225034] : [-(sum(_225034, _225030, _225026) = sum(_225032, _225028, _225024)), _225034 = _225032, _225030 = _225028, _225026 = _225024], (788 ^ _219346) ^ [_251308, _251310, _251312, _251314, _251316, _251318, _251320] : [-(a_select3(tptp_update3(_251312, _251320, _251318, _251308), _251316, _251314) = _251310), -(_251320 = _251316), _251318 = _251314, a_select3(_251312, _251316, _251314) = _251310], (298 ^ _219346) ^ [_229929, _229931] : [lt(_229931, _229929), -(gt(_229929, _229931))], (885 ^ _219346) ^ [] : [-(gt(n5, n0))], (34 ^ _219346) ^ [_220566, _220568, _220570, _220572] : [-(geq(_220570, _220566)), geq(_220572, _220568), _220572 = _220570, _220568 = _220566], (328 ^ _219346) ^ [_230916, _230918] : [-(gt(_230916, _230918)), leq(_230918, _230916), -(_230918 = _230916)], (740 ^ _219346) ^ [_249274] : [-(plus(_249274, n2) = succ(succ(_249274)))], (786 ^ _219346) ^ [_251116, _251118, _251120, _251122] : [-(a_select3(tptp_update3(_251122, _251120, _251118, _251116), _251120, _251118) = _251116)], (846 ^ _219346) ^ [_253733, _253735, _253737, _253739] : [-(a_select2(tptp_update2(_253735, _253737, _253733), _253739) = _253733), 850 ^ _219346 : [(855 ^ _219346) ^ [] : [a_select2(_253735, 849 ^ [_253733, _253735, _253737, _253739]) = _253733], (853 ^ _219346) ^ [] : [-(leq(849 ^ [_253733, _253735, _253737, _253739], _253737))], (851 ^ _219346) ^ [] : [-(leq(n0, 849 ^ [_253733, _253735, _253737, _253739]))]], leq(n0, _253739), leq(_253739, _253737)], (48 ^ _219346) ^ [_221010, _221012, _221014, _221016] : [-(gt(_221014, _221010)), gt(_221016, _221012), _221016 = _221014, _221012 = _221010], (284 ^ _219346) ^ [_229392] : [gt(_229392, _229392)], (752 ^ _219346) ^ [_249796] : [-(plus(_249796, n5) = succ(succ(succ(succ(succ(_249796))))))], (887 ^ _219346) ^ [] : [-(gt(n1, n0))], (758 ^ _219346) ^ [_250061] : [-(pred(succ(_250061)) = _250061)], (760 ^ _219346) ^ [_250143] : [-(succ(pred(_250143)) = _250143)], (1033 ^ _219346) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219346) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219346) ^ [_232550, _232552] : [leq(n0, _232552), -(leq(n0, uniform_int_rnd(_232550, _232552)))], (746 ^ _219346) ^ [_249531] : [-(plus(n3, _249531) = succ(succ(succ(_249531))))], (310 ^ _219346) ^ [_230332, _230334] : [geq(_230334, _230332), -(leq(_230332, _230334))], (338 ^ _219346) ^ [_231247, _231249] : [leq(_231249, pred(_231247)), -(gt(_231247, _231249))], (901 ^ _219346) ^ [] : [-(gt(n4, n2))], (62 ^ _219346) ^ [_221434, _221436, _221438, _221440] : [-(leq(_221438, _221434)), leq(_221440, _221436), _221440 = _221438, _221436 = _221434], (410 ^ _219346) ^ [_233796, _233798] : [413 ^ _219346 : [(414 ^ _219346) ^ [] : [-(leq(n0, 411 ^ [_233796, _233798]))], (418 ^ _219346) ^ [] : [-(leq(n0, 412 ^ [_233796, _233798]))], (422 ^ _219346) ^ [] : [a_select3(_233798, 411 ^ [_233796, _233798], 412 ^ [_233796, _233798]) = a_select3(_233798, 412 ^ [_233796, _233798], 411 ^ [_233796, _233798])], (420 ^ _219346) ^ [] : [-(leq(412 ^ [_233796, _233798], _233796))], (416 ^ _219346) ^ [] : [-(leq(411 ^ [_233796, _233798], _233796))]], 423 ^ _219346 : [(424 ^ _219346) ^ [_234553, _234555] : [-(a_select3(trans(_233798), _234555, _234553) = a_select3(trans(_233798), _234553, _234555)), leq(n0, _234555), leq(_234555, _233796), leq(n0, _234553), leq(_234553, _233796)]]], (202 ^ _219346) ^ [_226476, _226478, _226480, _226482, _226484, _226486] : [-(a_select3(_226486, _226482, _226478) = a_select3(_226484, _226480, _226476)), _226486 = _226484, _226482 = _226480, _226478 = _226476], (176 ^ _219346) ^ [_225512, _225514, _225516, _225518] : [-(plus(_225518, _225514) = plus(_225516, _225512)), _225518 = _225516, _225514 = _225512], (768 ^ _219346) ^ [_250453, _250455] : [leq(_250455, _250453), -(leq(succ(_250455), succ(_250453)))], (1031 ^ _219346) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219346) ^ [_248891] : [-(sum(n0, tptp_minus_1, _248891) = n0)], (560 ^ _219346) ^ [_240131, _240133, _240135] : [565 ^ _219346 : [(566 ^ _219346) ^ [] : [-(leq(n0, 563 ^ [_240131, _240133, _240135]))], (570 ^ _219346) ^ [] : [-(leq(n0, 564 ^ [_240131, _240133, _240135]))], (574 ^ _219346) ^ [] : [a_select3(_240135, 563 ^ [_240131, _240133, _240135], 564 ^ [_240131, _240133, _240135]) = a_select3(_240135, 564 ^ [_240131, _240133, _240135], 563 ^ [_240131, _240133, _240135])], (572 ^ _219346) ^ [] : [-(leq(564 ^ [_240131, _240133, _240135], _240131))], (568 ^ _219346) ^ [] : [-(leq(563 ^ [_240131, _240133, _240135], _240131))]], 577 ^ _219346 : [(578 ^ _219346) ^ [] : [-(leq(n0, 575 ^ [_240131, _240133, _240135]))], (582 ^ _219346) ^ [] : [-(leq(n0, 576 ^ [_240131, _240133, _240135]))], (586 ^ _219346) ^ [] : [a_select3(_240133, 575 ^ [_240131, _240133, _240135], 576 ^ [_240131, _240133, _240135]) = a_select3(_240133, 576 ^ [_240131, _240133, _240135], 575 ^ [_240131, _240133, _240135])], (584 ^ _219346) ^ [] : [-(leq(576 ^ [_240131, _240133, _240135], _240131))], (580 ^ _219346) ^ [] : [-(leq(575 ^ [_240131, _240133, _240135], _240131))]], 587 ^ _219346 : [(588 ^ _219346) ^ [_241640, _241642] : [-(a_select3(tptp_msub(_240135, _240133), _241642, _241640) = a_select3(tptp_msub(_240135, _240133), _241640, _241642)), leq(n0, _241642), leq(_241642, _240131), leq(n0, _241640), leq(_241640, _240131)]]], (967 ^ _219346) ^ [_257164] : [-(_257164 = n0), leq(n0, _257164), leq(_257164, n0)], (110 ^ _219346) ^ [_223124, _223126, _223128, _223130] : [-(dim(_223130, _223126) = dim(_223128, _223124)), _223130 = _223128, _223126 = _223124], (442 ^ _219346) ^ [_235100, _235102] : [445 ^ _219346 : [(446 ^ _219346) ^ [] : [-(leq(n0, 443 ^ [_235100, _235102]))], (450 ^ _219346) ^ [] : [-(leq(n0, 444 ^ [_235100, _235102]))], (454 ^ _219346) ^ [] : [a_select3(_235102, 443 ^ [_235100, _235102], 444 ^ [_235100, _235102]) = a_select3(_235102, 444 ^ [_235100, _235102], 443 ^ [_235100, _235102])], (452 ^ _219346) ^ [] : [-(leq(444 ^ [_235100, _235102], _235100))], (448 ^ _219346) ^ [] : [-(leq(443 ^ [_235100, _235102], _235100))]], 455 ^ _219346 : [(456 ^ _219346) ^ [_235857, _235859] : [-(a_select3(inv(_235102), _235859, _235857) = a_select3(inv(_235102), _235857, _235859)), leq(n0, _235859), leq(_235859, _235100), leq(n0, _235857), leq(_235857, _235100)]]], (1037 ^ _219346) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219346) ^ [_223455, _223457] : [_223457 = _223455, -(inv(_223457) = inv(_223455))], (907 ^ _219346) ^ [] : [-(gt(n4, n3))], (358 ^ _219346) ^ [_231952, _231954] : [leq(_231954, _231952), -(gt(succ(_231952), _231954))], (836 ^ _219346) ^ [_253353, _253355, _253357, _253359, _253361] : [-(a_select2(tptp_update2(_253357, _253361, _253353), _253359) = _253355), -(_253361 = _253359), a_select2(_253357, _253359) = _253355], (879 ^ _219346) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219346) ^ [_249191] : [-(plus(n1, _249191) = succ(_249191))], (867 ^ _219346) ^ [] : [def = use], (4 ^ _219346) ^ [_219577, _219579] : [_219579 = _219577, -(_219577 = _219579)], (895 ^ _219346) ^ [] : [-(gt(n5, n1))], (909 ^ _219346) ^ [] : [-(gt(n5, n3))], (750 ^ _219346) ^ [_249707] : [-(plus(n4, _249707) = succ(succ(succ(succ(_249707)))))], (322 ^ _219346) ^ [_230706, _230708] : [gt(_230706, _230708), -(leq(_230708, _230706))], (875 ^ _219346) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219346) ^ [_251851, _251853, _251855, _251857, _251859, _251861] : [-(a_select3(tptp_update3(_251853, _251857, _251855, _251851), _251861, _251859) = _251851), 807 ^ _219346 : [(808 ^ _219346) ^ [] : [-(leq(n0, 805 ^ [_251851, _251853, _251855, _251857, _251859, _251861]))], (812 ^ _219346) ^ [] : [-(leq(805 ^ [_251851, _251853, _251855, _251857, _251859, _251861], _251857))], (816 ^ _219346) ^ [] : [a_select3(_251853, 805 ^ [_251851, _251853, _251855, _251857, _251859, _251861], 806 ^ [_251851, _251853, _251855, _251857, _251859, _251861]) = _251851], (814 ^ _219346) ^ [] : [-(leq(806 ^ [_251851, _251853, _251855, _251857, _251859, _251861], _251855))], (810 ^ _219346) ^ [] : [-(leq(n0, 806 ^ [_251851, _251853, _251855, _251857, _251859, _251861]))]], leq(n0, _251861), leq(_251861, _251857), leq(n0, _251859), leq(_251859, _251855)], (234 ^ _219346) ^ [_227653, _227655, _227657, _227659] : [-(a_select2(_227659, _227655) = a_select2(_227657, _227653)), _227659 = _227657, _227655 = _227653], (774 ^ _219346) ^ [_250673, _250675] : [leq(succ(_250675), _250673), -(gt(_250673, _250675))], (897 ^ _219346) ^ [] : [-(gt(n2, n1))], (881 ^ _219346) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219346) ^ [_227020, _227022, _227024, _227026, _227028, _227030, _227032, _227034] : [-(tptp_update3(_227034, _227030, _227026, _227022) = tptp_update3(_227032, _227028, _227024, _227020)), _227034 = _227032, _227030 = _227028, _227026 = _227024, _227022 = _227020], (304 ^ _219346) ^ [_230091, _230093] : [gt(_230091, _230093), -(lt(_230093, _230091))], (762 ^ _219346) ^ [_250283, _250285] : [leq(succ(_250285), succ(_250283)), -(leq(_250285, _250283))], (514 ^ _219346) ^ [_238036, _238038, _238040] : [519 ^ _219346 : [(520 ^ _219346) ^ [] : [-(leq(n0, 517 ^ [_238036, _238038, _238040]))], (524 ^ _219346) ^ [] : [-(leq(n0, 518 ^ [_238036, _238038, _238040]))], (528 ^ _219346) ^ [] : [a_select3(_238040, 517 ^ [_238036, _238038, _238040], 518 ^ [_238036, _238038, _238040]) = a_select3(_238040, 518 ^ [_238036, _238038, _238040], 517 ^ [_238036, _238038, _238040])], (526 ^ _219346) ^ [] : [-(leq(518 ^ [_238036, _238038, _238040], _238036))], (522 ^ _219346) ^ [] : [-(leq(517 ^ [_238036, _238038, _238040], _238036))]], 531 ^ _219346 : [(532 ^ _219346) ^ [] : [-(leq(n0, 529 ^ [_238036, _238038, _238040]))], (536 ^ _219346) ^ [] : [-(leq(n0, 530 ^ [_238036, _238038, _238040]))], (540 ^ _219346) ^ [] : [a_select3(_238038, 529 ^ [_238036, _238038, _238040], 530 ^ [_238036, _238038, _238040]) = a_select3(_238038, 530 ^ [_238036, _238038, _238040], 529 ^ [_238036, _238038, _238040])], (538 ^ _219346) ^ [] : [-(leq(530 ^ [_238036, _238038, _238040], _238036))], (534 ^ _219346) ^ [] : [-(leq(529 ^ [_238036, _238038, _238040], _238036))]], 541 ^ _219346 : [(542 ^ _219346) ^ [_239545, _239547] : [-(a_select3(tptp_madd(_238040, _238038), _239547, _239545) = a_select3(tptp_madd(_238040, _238038), _239545, _239547)), leq(n0, _239547), leq(_239547, _238036), leq(n0, _239545), leq(_239545, _238036)]]], (136 ^ _219346) ^ [_224060, _224062, _224064, _224066] : [-(tptp_madd(_224066, _224062) = tptp_madd(_224064, _224060)), _224066 = _224064, _224062 = _224060], (899 ^ _219346) ^ [] : [-(gt(n3, n1))], (780 ^ _219346) ^ [_250887, _250889] : [leq(minus(_250889, _250887), _250889), -(leq(n0, _250887))], (748 ^ _219346) ^ [_249618] : [-(plus(_249618, n4) = succ(succ(succ(succ(_249618)))))], (126 ^ _219346) ^ [_223701, _223703, _223705, _223707] : [-(tptp_msub(_223707, _223703) = tptp_msub(_223705, _223701)), _223707 = _223705, _223703 = _223701], (903 ^ _219346) ^ [] : [-(gt(n5, n2))], (834 ^ _219346) ^ [_253193, _253195, _253197] : [-(a_select2(tptp_update2(_253197, _253195, _253193), _253195) = _253193)], (744 ^ _219346) ^ [_249444] : [-(plus(_249444, n3) = succ(succ(succ(_249444))))], (736 ^ _219346) ^ [_249108] : [-(plus(_249108, n1) = succ(_249108))], (754 ^ _219346) ^ [_249887] : [-(plus(n5, _249887) = succ(succ(succ(succ(succ(_249887))))))]], input).
% 46.26/44.81  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 46.26/44.81  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230916, _230918], [loopcounter, n1]]))).
% 46.26/44.81  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229113, _229115, _229117], [n0, n1, loopcounter]]))).
% 46.26/44.81  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_sworst7))],extension(1087 ^ 3)).
% 46.26/44.81  ncf('1.1.1.1.1',plain,[leq(n0, s_sworst7)],extension(1117 ^ 4)).
% 46.26/44.81  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 46.26/44.81  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221434, _221436, _221438, _221440], [loopcounter, n1, succ(n0), n1]]))).
% 46.26/44.81  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250673, _250675], [loopcounter, n0]]))).
% 46.26/44.81  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_sworst7))],extension(1087 ^ 4)).
% 46.26/44.81  ncf('1.1.2.1.1.1',plain,[leq(n0, s_sworst7)],extension(1117 ^ 5)).
% 46.26/44.81  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229470], [n1]]))).
% 46.26/44.81  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219577, _219579], [n1, succ(n0)]]))).
% 46.26/44.81  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 46.26/44.81  %-----------------------------------------------------
% 46.26/44.81  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------