%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 47.03s 45.77s
% Output   : Proof 47.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 03:09:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 47.03/45.77  
% 47.03/45.77  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 47.03/45.77  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.03/45.77  %-----------------------------------------------------
% 47.03/45.77  ncf(matrix, plain, [(1043 ^ _259104) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259104) ^ [] : [leq(n0, s_best7)], (1105 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259104) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259104) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219306) ^ [_222596, _222598, _222600, _222602, _222604, _222606] : [-(tptp_const_array2(_222606, _222602, _222598) = tptp_const_array2(_222604, _222600, _222596)), _222606 = _222604, _222602 = _222600, _222598 = _222596], (734 ^ _219306) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219306) ^ [_233161, _233163, _233165, _233167, _233169, _233171, _233173] : [-(a_select3(tptp_const_array2(dim(_233171, _233169), dim(_233165, _233163), _233161), _233173, _233167) = _233161), leq(_233171, _233173), leq(_233173, _233169), leq(_233165, _233167), leq(_233167, _233163)], (86 ^ _219306) ^ [_222209, _222211, _222213, _222215] : [-(tptp_const_array1(_222215, _222211) = tptp_const_array1(_222213, _222209)), _222215 = _222213, _222211 = _222209], (1039 ^ _219306) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219306) ^ [_226049, _226051, _226053, _226055] : [-(minus(_226055, _226051) = minus(_226053, _226049)), _226055 = _226053, _226051 = _226049], (146 ^ _219306) ^ [_224379, _224381, _224383, _224385] : [-(tptp_mmul(_224385, _224381) = tptp_mmul(_224383, _224379)), _224385 = _224383, _224381 = _224379], (893 ^ _219306) ^ [] : [-(gt(n4, n1))], (889 ^ _219306) ^ [] : [-(gt(n2, n0))], (288 ^ _219306) ^ [_229551, _229553, _229555] : [-(leq(_229555, _229551)), leq(_229555, _229553), leq(_229553, _229551)], (474 ^ _219306) ^ [_236364, _236366] : [477 ^ _219306 : [(478 ^ _219306) ^ [] : [-(leq(n0, 475 ^ [_236364, _236366]))], (482 ^ _219306) ^ [] : [-(leq(n0, 476 ^ [_236364, _236366]))], (486 ^ _219306) ^ [] : [a_select3(_236366, 475 ^ [_236364, _236366], 476 ^ [_236364, _236366]) = a_select3(_236366, 476 ^ [_236364, _236366], 475 ^ [_236364, _236366])], (484 ^ _219306) ^ [] : [-(leq(476 ^ [_236364, _236366], _236364))], (480 ^ _219306) ^ [] : [-(leq(475 ^ [_236364, _236366], _236364))]], 487 ^ _219306 : [(488 ^ _219306) ^ [_237177, _237179, _237181, _237183] : [-(a_select3(tptp_update3(_236366, _237179, _237179, _237177), _237183, _237181) = a_select3(tptp_update3(_236366, _237179, _237179, _237177), _237181, _237183)), leq(n0, _237183), leq(_237183, _236364), leq(n0, _237181), leq(_237181, _236364), leq(n0, _237179), leq(_237179, _236364)]]], (370 ^ _219306) ^ [_232294, _232296] : [leq(n0, _232296), -(leq(uniform_int_rnd(_232294, _232296), _232296))], (76 ^ _219306) ^ [_221850, _221852, _221854, _221856] : [-(uniform_int_rnd(_221856, _221852) = uniform_int_rnd(_221854, _221850)), _221856 = _221854, _221852 = _221850], (186 ^ _219306) ^ [_225803, _225805] : [_225805 = _225803, -(pred(_225805) = pred(_225803))], (316 ^ _219306) ^ [_230454, _230456] : [leq(_230454, _230456), -(geq(_230456, _230454))], (905 ^ _219306) ^ [] : [-(gt(n3, n2))], (732 ^ _219306) ^ [_248933] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248933))], (258 ^ _219306) ^ [_228440, _228442] : [_228442 = _228440, -(succ(_228442) = succ(_228440))], (991 ^ _219306) ^ [_257762] : [leq(n0, _257762), leq(_257762, n2), -(_257762 = n0), -(_257762 = n1), -(_257762 = n2)], (350 ^ _219306) ^ [_231560] : [-(gt(succ(_231560), _231560))], (742 ^ _219306) ^ [_249319] : [-(plus(n2, _249319) = succ(succ(_249319)))], (977 ^ _219306) ^ [_257399] : [leq(n0, _257399), leq(_257399, n1), -(_257399 = n0), -(_257399 = n1)], (286 ^ _219306) ^ [_229430] : [-(leq(_229430, _229430))], (344 ^ _219306) ^ [_231373, _231375] : [gt(_231373, _231375), -(leq(_231375, pred(_231373)))], (2 ^ _219306) ^ [_219430] : [-(_219430 = _219430)], (10 ^ _219306) ^ [_219741, _219743, _219745] : [-(_219745 = _219741), _219745 = _219743, _219743 = _219741], (1035 ^ _219306) ^ [] : [-(succ(n0) = n1)], (877 ^ _219306) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219306) ^ [_243618, _243620, _243622, _243624] : [641 ^ _219306 : [(642 ^ _219306) ^ [] : [-(leq(n0, 639 ^ [_243618, _243620, _243622, _243624]))], (646 ^ _219306) ^ [] : [-(leq(n0, 640 ^ [_243618, _243620, _243622, _243624]))], (650 ^ _219306) ^ [] : [a_select3(_243622, 639 ^ [_243618, _243620, _243622, _243624], 640 ^ [_243618, _243620, _243622, _243624]) = a_select3(_243622, 640 ^ [_243618, _243620, _243622, _243624], 639 ^ [_243618, _243620, _243622, _243624])], (648 ^ _219306) ^ [] : [-(leq(640 ^ [_243618, _243620, _243622, _243624], _243618))], (644 ^ _219306) ^ [] : [-(leq(639 ^ [_243618, _243620, _243622, _243624], _243618))]], 651 ^ _219306 : [(652 ^ _219306) ^ [_244475, _244477] : [-(a_select3(tptp_mmul(_243624, tptp_mmul(_243622, trans(_243624))), _244477, _244475) = a_select3(tptp_mmul(_243624, tptp_mmul(_243622, trans(_243624))), _244475, _244477)), leq(n0, _244477), leq(_244477, _243620), leq(n0, _244475), leq(_244475, _243620)]]], (670 ^ _219306) ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184] : [675 ^ _219306 : [(676 ^ _219306) ^ [] : [-(leq(n0, 673 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (680 ^ _219306) ^ [] : [-(leq(n0, 674 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (684 ^ _219306) ^ [] : [a_select3(_245178, 673 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 674 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]) = a_select3(_245178, 674 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 673 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184])], (682 ^ _219306) ^ [] : [-(leq(674 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245170))], (678 ^ _219306) ^ [] : [-(leq(673 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245170))]], 689 ^ _219306 : [(690 ^ _219306) ^ [] : [-(leq(n0, 687 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (694 ^ _219306) ^ [] : [-(leq(n0, 688 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (698 ^ _219306) ^ [] : [a_select3(_245184, 687 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 688 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]) = a_select3(_245184, 688 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 687 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184])], (696 ^ _219306) ^ [] : [-(leq(688 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245172))], (692 ^ _219306) ^ [] : [-(leq(687 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245172))]], 701 ^ _219306 : [(702 ^ _219306) ^ [] : [-(leq(n0, 699 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (706 ^ _219306) ^ [] : [-(leq(n0, 700 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]))], (710 ^ _219306) ^ [] : [a_select3(_245174, 699 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 700 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184]) = a_select3(_245174, 700 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], 699 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184])], (708 ^ _219306) ^ [] : [-(leq(700 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245172))], (704 ^ _219306) ^ [] : [-(leq(699 ^ [_245170, _245172, _245174, _245176, _245178, _245180, _245182, _245184], _245172))]], 711 ^ _219306 : [(712 ^ _219306) ^ [_248098, _248100] : [-(a_select3(tptp_madd(_245184, tptp_mmul(_245182, tptp_mmul(tptp_madd(tptp_mmul(_245180, tptp_mmul(_245178, trans(_245180))), tptp_mmul(_245176, tptp_mmul(_245174, trans(_245176)))), trans(_245182)))), _248100, _248098) = a_select3(tptp_madd(_245184, tptp_mmul(_245182, tptp_mmul(tptp_madd(tptp_mmul(_245180, tptp_mmul(_245178, trans(_245180))), tptp_mmul(_245176, tptp_mmul(_245174, trans(_245176)))), trans(_245182)))), _248098, _248100)), leq(n0, _248100), leq(_248100, _245172), leq(n0, _248098), leq(_248098, _245172)]]], (873 ^ _219306) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219306) ^ [_242186, _242188, _242190] : [609 ^ _219306 : [(610 ^ _219306) ^ [] : [-(leq(n0, 607 ^ [_242186, _242188, _242190]))], (614 ^ _219306) ^ [] : [-(leq(n0, 608 ^ [_242186, _242188, _242190]))], (618 ^ _219306) ^ [] : [a_select3(_242188, 607 ^ [_242186, _242188, _242190], 608 ^ [_242186, _242188, _242190]) = a_select3(_242188, 608 ^ [_242186, _242188, _242190], 607 ^ [_242186, _242188, _242190])], (616 ^ _219306) ^ [] : [-(leq(608 ^ [_242186, _242188, _242190], _242186))], (612 ^ _219306) ^ [] : [-(leq(607 ^ [_242186, _242188, _242190], _242186))]], 619 ^ _219306 : [(620 ^ _219306) ^ [_242999, _243001] : [-(a_select3(tptp_mmul(_242190, tptp_mmul(_242188, trans(_242190))), _243001, _242999) = a_select3(tptp_mmul(_242190, tptp_mmul(_242188, trans(_242190))), _242999, _243001)), leq(n0, _243001), leq(_243001, _242186), leq(n0, _242999), leq(_242999, _242186)]]], (756 ^ _219306) ^ [_249938] : [-(minus(_249938, n1) = pred(_249938))], (244 ^ _219306) ^ [_228000, _228002, _228004, _228006, _228008, _228010] : [-(tptp_update2(_228010, _228006, _228002) = tptp_update2(_228008, _228004, _228000)), _228010 = _228008, _228006 = _228004, _228002 = _228000], (891 ^ _219306) ^ [] : [-(gt(n3, n0))], (264 ^ _219306) ^ [_228758, _228760] : [-(gt(_228760, _228758)), -(gt(_228758, _228760)), -(_228760 = _228758)], (869 ^ _219306) ^ [] : [-(gt(n5, n4))], (156 ^ _219306) ^ [_224710, _224712] : [_224712 = _224710, -(trans(_224712) = trans(_224710))], (382 ^ _219306) ^ [_232754, _232756, _232758, _232760] : [-(a_select2(tptp_const_array1(dim(_232758, _232756), _232754), _232760) = _232754), leq(_232758, _232760), leq(_232760, _232756)], (865 ^ _219306) ^ [] : [-(true)], (364 ^ _219306) ^ [_232078, _232080] : [gt(succ(_232078), _232080), -(leq(_232080, _232078))], (883 ^ _219306) ^ [] : [-(gt(n4, n0))], (911 ^ _219306) ^ [_255796] : [leq(n0, _255796), leq(_255796, n4), -(_255796 = n0), -(_255796 = n1), -(_255796 = n2), -(_255796 = n3), -(_255796 = n4)], (352 ^ _219306) ^ [_231669, _231671] : [leq(_231671, _231669), -(leq(_231671, succ(_231669)))], (274 ^ _219306) ^ [_229073, _229075, _229077] : [-(gt(_229077, _229073)), gt(_229077, _229075), gt(_229075, _229073)], (20 ^ _219306) ^ [_220082, _220084, _220086, _220088] : [-(lt(_220086, _220082)), lt(_220088, _220084), _220088 = _220086, _220084 = _220082], (937 ^ _219306) ^ [_256417] : [leq(n0, _256417), leq(_256417, n5), -(_256417 = n0), -(_256417 = n1), -(_256417 = n2), -(_256417 = n3), -(_256417 = n4), -(_256417 = n5)], (1009 ^ _219306) ^ [_258211] : [leq(n0, _258211), leq(_258211, n3), -(_258211 = n0), -(_258211 = n1), -(_258211 = n2), -(_258211 = n3)], (162 ^ _219306) ^ [_224984, _224986, _224988, _224990, _224992, _224994] : [-(sum(_224994, _224990, _224986) = sum(_224992, _224988, _224984)), _224994 = _224992, _224990 = _224988, _224986 = _224984], (788 ^ _219306) ^ [_251268, _251270, _251272, _251274, _251276, _251278, _251280] : [-(a_select3(tptp_update3(_251272, _251280, _251278, _251268), _251276, _251274) = _251270), -(_251280 = _251276), _251278 = _251274, a_select3(_251272, _251276, _251274) = _251270], (298 ^ _219306) ^ [_229889, _229891] : [lt(_229891, _229889), -(gt(_229889, _229891))], (885 ^ _219306) ^ [] : [-(gt(n5, n0))], (34 ^ _219306) ^ [_220526, _220528, _220530, _220532] : [-(geq(_220530, _220526)), geq(_220532, _220528), _220532 = _220530, _220528 = _220526], (328 ^ _219306) ^ [_230876, _230878] : [-(gt(_230876, _230878)), leq(_230878, _230876), -(_230878 = _230876)], (740 ^ _219306) ^ [_249234] : [-(plus(_249234, n2) = succ(succ(_249234)))], (786 ^ _219306) ^ [_251076, _251078, _251080, _251082] : [-(a_select3(tptp_update3(_251082, _251080, _251078, _251076), _251080, _251078) = _251076)], (846 ^ _219306) ^ [_253693, _253695, _253697, _253699] : [-(a_select2(tptp_update2(_253695, _253697, _253693), _253699) = _253693), 850 ^ _219306 : [(855 ^ _219306) ^ [] : [a_select2(_253695, 849 ^ [_253693, _253695, _253697, _253699]) = _253693], (853 ^ _219306) ^ [] : [-(leq(849 ^ [_253693, _253695, _253697, _253699], _253697))], (851 ^ _219306) ^ [] : [-(leq(n0, 849 ^ [_253693, _253695, _253697, _253699]))]], leq(n0, _253699), leq(_253699, _253697)], (48 ^ _219306) ^ [_220970, _220972, _220974, _220976] : [-(gt(_220974, _220970)), gt(_220976, _220972), _220976 = _220974, _220972 = _220970], (284 ^ _219306) ^ [_229352] : [gt(_229352, _229352)], (752 ^ _219306) ^ [_249756] : [-(plus(_249756, n5) = succ(succ(succ(succ(succ(_249756))))))], (887 ^ _219306) ^ [] : [-(gt(n1, n0))], (758 ^ _219306) ^ [_250021] : [-(pred(succ(_250021)) = _250021)], (760 ^ _219306) ^ [_250103] : [-(succ(pred(_250103)) = _250103)], (1033 ^ _219306) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219306) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219306) ^ [_232510, _232512] : [leq(n0, _232512), -(leq(n0, uniform_int_rnd(_232510, _232512)))], (746 ^ _219306) ^ [_249491] : [-(plus(n3, _249491) = succ(succ(succ(_249491))))], (310 ^ _219306) ^ [_230292, _230294] : [geq(_230294, _230292), -(leq(_230292, _230294))], (338 ^ _219306) ^ [_231207, _231209] : [leq(_231209, pred(_231207)), -(gt(_231207, _231209))], (901 ^ _219306) ^ [] : [-(gt(n4, n2))], (62 ^ _219306) ^ [_221394, _221396, _221398, _221400] : [-(leq(_221398, _221394)), leq(_221400, _221396), _221400 = _221398, _221396 = _221394], (410 ^ _219306) ^ [_233756, _233758] : [413 ^ _219306 : [(414 ^ _219306) ^ [] : [-(leq(n0, 411 ^ [_233756, _233758]))], (418 ^ _219306) ^ [] : [-(leq(n0, 412 ^ [_233756, _233758]))], (422 ^ _219306) ^ [] : [a_select3(_233758, 411 ^ [_233756, _233758], 412 ^ [_233756, _233758]) = a_select3(_233758, 412 ^ [_233756, _233758], 411 ^ [_233756, _233758])], (420 ^ _219306) ^ [] : [-(leq(412 ^ [_233756, _233758], _233756))], (416 ^ _219306) ^ [] : [-(leq(411 ^ [_233756, _233758], _233756))]], 423 ^ _219306 : [(424 ^ _219306) ^ [_234513, _234515] : [-(a_select3(trans(_233758), _234515, _234513) = a_select3(trans(_233758), _234513, _234515)), leq(n0, _234515), leq(_234515, _233756), leq(n0, _234513), leq(_234513, _233756)]]], (202 ^ _219306) ^ [_226436, _226438, _226440, _226442, _226444, _226446] : [-(a_select3(_226446, _226442, _226438) = a_select3(_226444, _226440, _226436)), _226446 = _226444, _226442 = _226440, _226438 = _226436], (176 ^ _219306) ^ [_225472, _225474, _225476, _225478] : [-(plus(_225478, _225474) = plus(_225476, _225472)), _225478 = _225476, _225474 = _225472], (768 ^ _219306) ^ [_250413, _250415] : [leq(_250415, _250413), -(leq(succ(_250415), succ(_250413)))], (1031 ^ _219306) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219306) ^ [_248851] : [-(sum(n0, tptp_minus_1, _248851) = n0)], (560 ^ _219306) ^ [_240091, _240093, _240095] : [565 ^ _219306 : [(566 ^ _219306) ^ [] : [-(leq(n0, 563 ^ [_240091, _240093, _240095]))], (570 ^ _219306) ^ [] : [-(leq(n0, 564 ^ [_240091, _240093, _240095]))], (574 ^ _219306) ^ [] : [a_select3(_240095, 563 ^ [_240091, _240093, _240095], 564 ^ [_240091, _240093, _240095]) = a_select3(_240095, 564 ^ [_240091, _240093, _240095], 563 ^ [_240091, _240093, _240095])], (572 ^ _219306) ^ [] : [-(leq(564 ^ [_240091, _240093, _240095], _240091))], (568 ^ _219306) ^ [] : [-(leq(563 ^ [_240091, _240093, _240095], _240091))]], 577 ^ _219306 : [(578 ^ _219306) ^ [] : [-(leq(n0, 575 ^ [_240091, _240093, _240095]))], (582 ^ _219306) ^ [] : [-(leq(n0, 576 ^ [_240091, _240093, _240095]))], (586 ^ _219306) ^ [] : [a_select3(_240093, 575 ^ [_240091, _240093, _240095], 576 ^ [_240091, _240093, _240095]) = a_select3(_240093, 576 ^ [_240091, _240093, _240095], 575 ^ [_240091, _240093, _240095])], (584 ^ _219306) ^ [] : [-(leq(576 ^ [_240091, _240093, _240095], _240091))], (580 ^ _219306) ^ [] : [-(leq(575 ^ [_240091, _240093, _240095], _240091))]], 587 ^ _219306 : [(588 ^ _219306) ^ [_241600, _241602] : [-(a_select3(tptp_msub(_240095, _240093), _241602, _241600) = a_select3(tptp_msub(_240095, _240093), _241600, _241602)), leq(n0, _241602), leq(_241602, _240091), leq(n0, _241600), leq(_241600, _240091)]]], (967 ^ _219306) ^ [_257124] : [-(_257124 = n0), leq(n0, _257124), leq(_257124, n0)], (110 ^ _219306) ^ [_223084, _223086, _223088, _223090] : [-(dim(_223090, _223086) = dim(_223088, _223084)), _223090 = _223088, _223086 = _223084], (442 ^ _219306) ^ [_235060, _235062] : [445 ^ _219306 : [(446 ^ _219306) ^ [] : [-(leq(n0, 443 ^ [_235060, _235062]))], (450 ^ _219306) ^ [] : [-(leq(n0, 444 ^ [_235060, _235062]))], (454 ^ _219306) ^ [] : [a_select3(_235062, 443 ^ [_235060, _235062], 444 ^ [_235060, _235062]) = a_select3(_235062, 444 ^ [_235060, _235062], 443 ^ [_235060, _235062])], (452 ^ _219306) ^ [] : [-(leq(444 ^ [_235060, _235062], _235060))], (448 ^ _219306) ^ [] : [-(leq(443 ^ [_235060, _235062], _235060))]], 455 ^ _219306 : [(456 ^ _219306) ^ [_235817, _235819] : [-(a_select3(inv(_235062), _235819, _235817) = a_select3(inv(_235062), _235817, _235819)), leq(n0, _235819), leq(_235819, _235060), leq(n0, _235817), leq(_235817, _235060)]]], (1037 ^ _219306) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219306) ^ [_223415, _223417] : [_223417 = _223415, -(inv(_223417) = inv(_223415))], (907 ^ _219306) ^ [] : [-(gt(n4, n3))], (358 ^ _219306) ^ [_231912, _231914] : [leq(_231914, _231912), -(gt(succ(_231912), _231914))], (836 ^ _219306) ^ [_253313, _253315, _253317, _253319, _253321] : [-(a_select2(tptp_update2(_253317, _253321, _253313), _253319) = _253315), -(_253321 = _253319), a_select2(_253317, _253319) = _253315], (879 ^ _219306) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219306) ^ [_249151] : [-(plus(n1, _249151) = succ(_249151))], (867 ^ _219306) ^ [] : [def = use], (4 ^ _219306) ^ [_219537, _219539] : [_219539 = _219537, -(_219537 = _219539)], (895 ^ _219306) ^ [] : [-(gt(n5, n1))], (909 ^ _219306) ^ [] : [-(gt(n5, n3))], (750 ^ _219306) ^ [_249667] : [-(plus(n4, _249667) = succ(succ(succ(succ(_249667)))))], (322 ^ _219306) ^ [_230666, _230668] : [gt(_230666, _230668), -(leq(_230668, _230666))], (875 ^ _219306) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219306) ^ [_251811, _251813, _251815, _251817, _251819, _251821] : [-(a_select3(tptp_update3(_251813, _251817, _251815, _251811), _251821, _251819) = _251811), 807 ^ _219306 : [(808 ^ _219306) ^ [] : [-(leq(n0, 805 ^ [_251811, _251813, _251815, _251817, _251819, _251821]))], (812 ^ _219306) ^ [] : [-(leq(805 ^ [_251811, _251813, _251815, _251817, _251819, _251821], _251817))], (816 ^ _219306) ^ [] : [a_select3(_251813, 805 ^ [_251811, _251813, _251815, _251817, _251819, _251821], 806 ^ [_251811, _251813, _251815, _251817, _251819, _251821]) = _251811], (814 ^ _219306) ^ [] : [-(leq(806 ^ [_251811, _251813, _251815, _251817, _251819, _251821], _251815))], (810 ^ _219306) ^ [] : [-(leq(n0, 806 ^ [_251811, _251813, _251815, _251817, _251819, _251821]))]], leq(n0, _251821), leq(_251821, _251817), leq(n0, _251819), leq(_251819, _251815)], (234 ^ _219306) ^ [_227613, _227615, _227617, _227619] : [-(a_select2(_227619, _227615) = a_select2(_227617, _227613)), _227619 = _227617, _227615 = _227613], (774 ^ _219306) ^ [_250633, _250635] : [leq(succ(_250635), _250633), -(gt(_250633, _250635))], (897 ^ _219306) ^ [] : [-(gt(n2, n1))], (881 ^ _219306) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219306) ^ [_226980, _226982, _226984, _226986, _226988, _226990, _226992, _226994] : [-(tptp_update3(_226994, _226990, _226986, _226982) = tptp_update3(_226992, _226988, _226984, _226980)), _226994 = _226992, _226990 = _226988, _226986 = _226984, _226982 = _226980], (304 ^ _219306) ^ [_230051, _230053] : [gt(_230051, _230053), -(lt(_230053, _230051))], (762 ^ _219306) ^ [_250243, _250245] : [leq(succ(_250245), succ(_250243)), -(leq(_250245, _250243))], (514 ^ _219306) ^ [_237996, _237998, _238000] : [519 ^ _219306 : [(520 ^ _219306) ^ [] : [-(leq(n0, 517 ^ [_237996, _237998, _238000]))], (524 ^ _219306) ^ [] : [-(leq(n0, 518 ^ [_237996, _237998, _238000]))], (528 ^ _219306) ^ [] : [a_select3(_238000, 517 ^ [_237996, _237998, _238000], 518 ^ [_237996, _237998, _238000]) = a_select3(_238000, 518 ^ [_237996, _237998, _238000], 517 ^ [_237996, _237998, _238000])], (526 ^ _219306) ^ [] : [-(leq(518 ^ [_237996, _237998, _238000], _237996))], (522 ^ _219306) ^ [] : [-(leq(517 ^ [_237996, _237998, _238000], _237996))]], 531 ^ _219306 : [(532 ^ _219306) ^ [] : [-(leq(n0, 529 ^ [_237996, _237998, _238000]))], (536 ^ _219306) ^ [] : [-(leq(n0, 530 ^ [_237996, _237998, _238000]))], (540 ^ _219306) ^ [] : [a_select3(_237998, 529 ^ [_237996, _237998, _238000], 530 ^ [_237996, _237998, _238000]) = a_select3(_237998, 530 ^ [_237996, _237998, _238000], 529 ^ [_237996, _237998, _238000])], (538 ^ _219306) ^ [] : [-(leq(530 ^ [_237996, _237998, _238000], _237996))], (534 ^ _219306) ^ [] : [-(leq(529 ^ [_237996, _237998, _238000], _237996))]], 541 ^ _219306 : [(542 ^ _219306) ^ [_239505, _239507] : [-(a_select3(tptp_madd(_238000, _237998), _239507, _239505) = a_select3(tptp_madd(_238000, _237998), _239505, _239507)), leq(n0, _239507), leq(_239507, _237996), leq(n0, _239505), leq(_239505, _237996)]]], (136 ^ _219306) ^ [_224020, _224022, _224024, _224026] : [-(tptp_madd(_224026, _224022) = tptp_madd(_224024, _224020)), _224026 = _224024, _224022 = _224020], (899 ^ _219306) ^ [] : [-(gt(n3, n1))], (780 ^ _219306) ^ [_250847, _250849] : [leq(minus(_250849, _250847), _250849), -(leq(n0, _250847))], (748 ^ _219306) ^ [_249578] : [-(plus(_249578, n4) = succ(succ(succ(succ(_249578)))))], (126 ^ _219306) ^ [_223661, _223663, _223665, _223667] : [-(tptp_msub(_223667, _223663) = tptp_msub(_223665, _223661)), _223667 = _223665, _223663 = _223661], (903 ^ _219306) ^ [] : [-(gt(n5, n2))], (834 ^ _219306) ^ [_253153, _253155, _253157] : [-(a_select2(tptp_update2(_253157, _253155, _253153), _253155) = _253153)], (744 ^ _219306) ^ [_249404] : [-(plus(_249404, n3) = succ(succ(succ(_249404))))], (736 ^ _219306) ^ [_249068] : [-(plus(_249068, n1) = succ(_249068))], (754 ^ _219306) ^ [_249847] : [-(plus(n5, _249847) = succ(succ(succ(succ(succ(_249847))))))]], input).
% 47.03/45.77  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 47.03/45.77  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230876, _230878], [loopcounter, n1]]))).
% 47.03/45.77  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229073, _229075, _229077], [n0, n1, loopcounter]]))).
% 47.03/45.77  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_best7))],extension(1081 ^ 3)).
% 47.03/45.77  ncf('1.1.1.1.1',plain,[leq(n0, s_best7)],extension(1117 ^ 4)).
% 47.03/45.77  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 47.03/45.77  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221394, _221396, _221398, _221400], [loopcounter, n1, succ(n0), n1]]))).
% 47.03/45.77  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250633, _250635], [loopcounter, n0]]))).
% 47.03/45.77  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_best7))],extension(1081 ^ 4)).
% 47.03/45.77  ncf('1.1.2.1.1.1',plain,[leq(n0, s_best7)],extension(1117 ^ 5)).
% 47.03/45.77  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229430], [n1]]))).
% 47.03/45.77  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219537, _219539], [n1, succ(n0)]]))).
% 47.03/45.77  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 47.03/45.77  %-----------------------------------------------------
% 47.03/45.77  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------