%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 47.13s 45.80s
% Output   : Proof 47.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV142+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n015.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 : Fri May 19 02:25:37 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 47.13/45.80  
% 47.13/45.80  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 47.13/45.80  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.13/45.80  %-----------------------------------------------------
% 47.13/45.80  ncf(matrix, plain, [(1043 ^ _259184) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259184) ^ [] : [leq(s_best7, n3)], (1105 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259184) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259184) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219386) ^ [_222676, _222678, _222680, _222682, _222684, _222686] : [-(tptp_const_array2(_222686, _222682, _222678) = tptp_const_array2(_222684, _222680, _222676)), _222686 = _222684, _222682 = _222680, _222678 = _222676], (734 ^ _219386) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219386) ^ [_233241, _233243, _233245, _233247, _233249, _233251, _233253] : [-(a_select3(tptp_const_array2(dim(_233251, _233249), dim(_233245, _233243), _233241), _233253, _233247) = _233241), leq(_233251, _233253), leq(_233253, _233249), leq(_233245, _233247), leq(_233247, _233243)], (86 ^ _219386) ^ [_222289, _222291, _222293, _222295] : [-(tptp_const_array1(_222295, _222291) = tptp_const_array1(_222293, _222289)), _222295 = _222293, _222291 = _222289], (1039 ^ _219386) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219386) ^ [_226129, _226131, _226133, _226135] : [-(minus(_226135, _226131) = minus(_226133, _226129)), _226135 = _226133, _226131 = _226129], (146 ^ _219386) ^ [_224459, _224461, _224463, _224465] : [-(tptp_mmul(_224465, _224461) = tptp_mmul(_224463, _224459)), _224465 = _224463, _224461 = _224459], (893 ^ _219386) ^ [] : [-(gt(n4, n1))], (889 ^ _219386) ^ [] : [-(gt(n2, n0))], (288 ^ _219386) ^ [_229631, _229633, _229635] : [-(leq(_229635, _229631)), leq(_229635, _229633), leq(_229633, _229631)], (474 ^ _219386) ^ [_236444, _236446] : [477 ^ _219386 : [(478 ^ _219386) ^ [] : [-(leq(n0, 475 ^ [_236444, _236446]))], (482 ^ _219386) ^ [] : [-(leq(n0, 476 ^ [_236444, _236446]))], (486 ^ _219386) ^ [] : [a_select3(_236446, 475 ^ [_236444, _236446], 476 ^ [_236444, _236446]) = a_select3(_236446, 476 ^ [_236444, _236446], 475 ^ [_236444, _236446])], (484 ^ _219386) ^ [] : [-(leq(476 ^ [_236444, _236446], _236444))], (480 ^ _219386) ^ [] : [-(leq(475 ^ [_236444, _236446], _236444))]], 487 ^ _219386 : [(488 ^ _219386) ^ [_237257, _237259, _237261, _237263] : [-(a_select3(tptp_update3(_236446, _237259, _237259, _237257), _237263, _237261) = a_select3(tptp_update3(_236446, _237259, _237259, _237257), _237261, _237263)), leq(n0, _237263), leq(_237263, _236444), leq(n0, _237261), leq(_237261, _236444), leq(n0, _237259), leq(_237259, _236444)]]], (370 ^ _219386) ^ [_232374, _232376] : [leq(n0, _232376), -(leq(uniform_int_rnd(_232374, _232376), _232376))], (76 ^ _219386) ^ [_221930, _221932, _221934, _221936] : [-(uniform_int_rnd(_221936, _221932) = uniform_int_rnd(_221934, _221930)), _221936 = _221934, _221932 = _221930], (186 ^ _219386) ^ [_225883, _225885] : [_225885 = _225883, -(pred(_225885) = pred(_225883))], (316 ^ _219386) ^ [_230534, _230536] : [leq(_230534, _230536), -(geq(_230536, _230534))], (905 ^ _219386) ^ [] : [-(gt(n3, n2))], (732 ^ _219386) ^ [_249013] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _249013))], (258 ^ _219386) ^ [_228520, _228522] : [_228522 = _228520, -(succ(_228522) = succ(_228520))], (991 ^ _219386) ^ [_257842] : [leq(n0, _257842), leq(_257842, n2), -(_257842 = n0), -(_257842 = n1), -(_257842 = n2)], (350 ^ _219386) ^ [_231640] : [-(gt(succ(_231640), _231640))], (742 ^ _219386) ^ [_249399] : [-(plus(n2, _249399) = succ(succ(_249399)))], (977 ^ _219386) ^ [_257479] : [leq(n0, _257479), leq(_257479, n1), -(_257479 = n0), -(_257479 = n1)], (286 ^ _219386) ^ [_229510] : [-(leq(_229510, _229510))], (344 ^ _219386) ^ [_231453, _231455] : [gt(_231453, _231455), -(leq(_231455, pred(_231453)))], (2 ^ _219386) ^ [_219510] : [-(_219510 = _219510)], (10 ^ _219386) ^ [_219821, _219823, _219825] : [-(_219825 = _219821), _219825 = _219823, _219823 = _219821], (1035 ^ _219386) ^ [] : [-(succ(n0) = n1)], (877 ^ _219386) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219386) ^ [_243698, _243700, _243702, _243704] : [641 ^ _219386 : [(642 ^ _219386) ^ [] : [-(leq(n0, 639 ^ [_243698, _243700, _243702, _243704]))], (646 ^ _219386) ^ [] : [-(leq(n0, 640 ^ [_243698, _243700, _243702, _243704]))], (650 ^ _219386) ^ [] : [a_select3(_243702, 639 ^ [_243698, _243700, _243702, _243704], 640 ^ [_243698, _243700, _243702, _243704]) = a_select3(_243702, 640 ^ [_243698, _243700, _243702, _243704], 639 ^ [_243698, _243700, _243702, _243704])], (648 ^ _219386) ^ [] : [-(leq(640 ^ [_243698, _243700, _243702, _243704], _243698))], (644 ^ _219386) ^ [] : [-(leq(639 ^ [_243698, _243700, _243702, _243704], _243698))]], 651 ^ _219386 : [(652 ^ _219386) ^ [_244555, _244557] : [-(a_select3(tptp_mmul(_243704, tptp_mmul(_243702, trans(_243704))), _244557, _244555) = a_select3(tptp_mmul(_243704, tptp_mmul(_243702, trans(_243704))), _244555, _244557)), leq(n0, _244557), leq(_244557, _243700), leq(n0, _244555), leq(_244555, _243700)]]], (670 ^ _219386) ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264] : [675 ^ _219386 : [(676 ^ _219386) ^ [] : [-(leq(n0, 673 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (680 ^ _219386) ^ [] : [-(leq(n0, 674 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (684 ^ _219386) ^ [] : [a_select3(_245258, 673 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 674 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]) = a_select3(_245258, 674 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 673 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264])], (682 ^ _219386) ^ [] : [-(leq(674 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245250))], (678 ^ _219386) ^ [] : [-(leq(673 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245250))]], 689 ^ _219386 : [(690 ^ _219386) ^ [] : [-(leq(n0, 687 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (694 ^ _219386) ^ [] : [-(leq(n0, 688 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (698 ^ _219386) ^ [] : [a_select3(_245264, 687 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 688 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]) = a_select3(_245264, 688 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 687 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264])], (696 ^ _219386) ^ [] : [-(leq(688 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245252))], (692 ^ _219386) ^ [] : [-(leq(687 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245252))]], 701 ^ _219386 : [(702 ^ _219386) ^ [] : [-(leq(n0, 699 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (706 ^ _219386) ^ [] : [-(leq(n0, 700 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]))], (710 ^ _219386) ^ [] : [a_select3(_245254, 699 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 700 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264]) = a_select3(_245254, 700 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], 699 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264])], (708 ^ _219386) ^ [] : [-(leq(700 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245252))], (704 ^ _219386) ^ [] : [-(leq(699 ^ [_245250, _245252, _245254, _245256, _245258, _245260, _245262, _245264], _245252))]], 711 ^ _219386 : [(712 ^ _219386) ^ [_248178, _248180] : [-(a_select3(tptp_madd(_245264, tptp_mmul(_245262, tptp_mmul(tptp_madd(tptp_mmul(_245260, tptp_mmul(_245258, trans(_245260))), tptp_mmul(_245256, tptp_mmul(_245254, trans(_245256)))), trans(_245262)))), _248180, _248178) = a_select3(tptp_madd(_245264, tptp_mmul(_245262, tptp_mmul(tptp_madd(tptp_mmul(_245260, tptp_mmul(_245258, trans(_245260))), tptp_mmul(_245256, tptp_mmul(_245254, trans(_245256)))), trans(_245262)))), _248178, _248180)), leq(n0, _248180), leq(_248180, _245252), leq(n0, _248178), leq(_248178, _245252)]]], (873 ^ _219386) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219386) ^ [_242266, _242268, _242270] : [609 ^ _219386 : [(610 ^ _219386) ^ [] : [-(leq(n0, 607 ^ [_242266, _242268, _242270]))], (614 ^ _219386) ^ [] : [-(leq(n0, 608 ^ [_242266, _242268, _242270]))], (618 ^ _219386) ^ [] : [a_select3(_242268, 607 ^ [_242266, _242268, _242270], 608 ^ [_242266, _242268, _242270]) = a_select3(_242268, 608 ^ [_242266, _242268, _242270], 607 ^ [_242266, _242268, _242270])], (616 ^ _219386) ^ [] : [-(leq(608 ^ [_242266, _242268, _242270], _242266))], (612 ^ _219386) ^ [] : [-(leq(607 ^ [_242266, _242268, _242270], _242266))]], 619 ^ _219386 : [(620 ^ _219386) ^ [_243079, _243081] : [-(a_select3(tptp_mmul(_242270, tptp_mmul(_242268, trans(_242270))), _243081, _243079) = a_select3(tptp_mmul(_242270, tptp_mmul(_242268, trans(_242270))), _243079, _243081)), leq(n0, _243081), leq(_243081, _242266), leq(n0, _243079), leq(_243079, _242266)]]], (756 ^ _219386) ^ [_250018] : [-(minus(_250018, n1) = pred(_250018))], (244 ^ _219386) ^ [_228080, _228082, _228084, _228086, _228088, _228090] : [-(tptp_update2(_228090, _228086, _228082) = tptp_update2(_228088, _228084, _228080)), _228090 = _228088, _228086 = _228084, _228082 = _228080], (891 ^ _219386) ^ [] : [-(gt(n3, n0))], (264 ^ _219386) ^ [_228838, _228840] : [-(gt(_228840, _228838)), -(gt(_228838, _228840)), -(_228840 = _228838)], (869 ^ _219386) ^ [] : [-(gt(n5, n4))], (156 ^ _219386) ^ [_224790, _224792] : [_224792 = _224790, -(trans(_224792) = trans(_224790))], (382 ^ _219386) ^ [_232834, _232836, _232838, _232840] : [-(a_select2(tptp_const_array1(dim(_232838, _232836), _232834), _232840) = _232834), leq(_232838, _232840), leq(_232840, _232836)], (865 ^ _219386) ^ [] : [-(true)], (364 ^ _219386) ^ [_232158, _232160] : [gt(succ(_232158), _232160), -(leq(_232160, _232158))], (883 ^ _219386) ^ [] : [-(gt(n4, n0))], (911 ^ _219386) ^ [_255876] : [leq(n0, _255876), leq(_255876, n4), -(_255876 = n0), -(_255876 = n1), -(_255876 = n2), -(_255876 = n3), -(_255876 = n4)], (352 ^ _219386) ^ [_231749, _231751] : [leq(_231751, _231749), -(leq(_231751, succ(_231749)))], (274 ^ _219386) ^ [_229153, _229155, _229157] : [-(gt(_229157, _229153)), gt(_229157, _229155), gt(_229155, _229153)], (20 ^ _219386) ^ [_220162, _220164, _220166, _220168] : [-(lt(_220166, _220162)), lt(_220168, _220164), _220168 = _220166, _220164 = _220162], (937 ^ _219386) ^ [_256497] : [leq(n0, _256497), leq(_256497, n5), -(_256497 = n0), -(_256497 = n1), -(_256497 = n2), -(_256497 = n3), -(_256497 = n4), -(_256497 = n5)], (1009 ^ _219386) ^ [_258291] : [leq(n0, _258291), leq(_258291, n3), -(_258291 = n0), -(_258291 = n1), -(_258291 = n2), -(_258291 = n3)], (162 ^ _219386) ^ [_225064, _225066, _225068, _225070, _225072, _225074] : [-(sum(_225074, _225070, _225066) = sum(_225072, _225068, _225064)), _225074 = _225072, _225070 = _225068, _225066 = _225064], (788 ^ _219386) ^ [_251348, _251350, _251352, _251354, _251356, _251358, _251360] : [-(a_select3(tptp_update3(_251352, _251360, _251358, _251348), _251356, _251354) = _251350), -(_251360 = _251356), _251358 = _251354, a_select3(_251352, _251356, _251354) = _251350], (298 ^ _219386) ^ [_229969, _229971] : [lt(_229971, _229969), -(gt(_229969, _229971))], (885 ^ _219386) ^ [] : [-(gt(n5, n0))], (34 ^ _219386) ^ [_220606, _220608, _220610, _220612] : [-(geq(_220610, _220606)), geq(_220612, _220608), _220612 = _220610, _220608 = _220606], (328 ^ _219386) ^ [_230956, _230958] : [-(gt(_230956, _230958)), leq(_230958, _230956), -(_230958 = _230956)], (740 ^ _219386) ^ [_249314] : [-(plus(_249314, n2) = succ(succ(_249314)))], (786 ^ _219386) ^ [_251156, _251158, _251160, _251162] : [-(a_select3(tptp_update3(_251162, _251160, _251158, _251156), _251160, _251158) = _251156)], (846 ^ _219386) ^ [_253773, _253775, _253777, _253779] : [-(a_select2(tptp_update2(_253775, _253777, _253773), _253779) = _253773), 850 ^ _219386 : [(855 ^ _219386) ^ [] : [a_select2(_253775, 849 ^ [_253773, _253775, _253777, _253779]) = _253773], (853 ^ _219386) ^ [] : [-(leq(849 ^ [_253773, _253775, _253777, _253779], _253777))], (851 ^ _219386) ^ [] : [-(leq(n0, 849 ^ [_253773, _253775, _253777, _253779]))]], leq(n0, _253779), leq(_253779, _253777)], (48 ^ _219386) ^ [_221050, _221052, _221054, _221056] : [-(gt(_221054, _221050)), gt(_221056, _221052), _221056 = _221054, _221052 = _221050], (284 ^ _219386) ^ [_229432] : [gt(_229432, _229432)], (752 ^ _219386) ^ [_249836] : [-(plus(_249836, n5) = succ(succ(succ(succ(succ(_249836))))))], (887 ^ _219386) ^ [] : [-(gt(n1, n0))], (758 ^ _219386) ^ [_250101] : [-(pred(succ(_250101)) = _250101)], (760 ^ _219386) ^ [_250183] : [-(succ(pred(_250183)) = _250183)], (1033 ^ _219386) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219386) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219386) ^ [_232590, _232592] : [leq(n0, _232592), -(leq(n0, uniform_int_rnd(_232590, _232592)))], (746 ^ _219386) ^ [_249571] : [-(plus(n3, _249571) = succ(succ(succ(_249571))))], (310 ^ _219386) ^ [_230372, _230374] : [geq(_230374, _230372), -(leq(_230372, _230374))], (338 ^ _219386) ^ [_231287, _231289] : [leq(_231289, pred(_231287)), -(gt(_231287, _231289))], (901 ^ _219386) ^ [] : [-(gt(n4, n2))], (62 ^ _219386) ^ [_221474, _221476, _221478, _221480] : [-(leq(_221478, _221474)), leq(_221480, _221476), _221480 = _221478, _221476 = _221474], (410 ^ _219386) ^ [_233836, _233838] : [413 ^ _219386 : [(414 ^ _219386) ^ [] : [-(leq(n0, 411 ^ [_233836, _233838]))], (418 ^ _219386) ^ [] : [-(leq(n0, 412 ^ [_233836, _233838]))], (422 ^ _219386) ^ [] : [a_select3(_233838, 411 ^ [_233836, _233838], 412 ^ [_233836, _233838]) = a_select3(_233838, 412 ^ [_233836, _233838], 411 ^ [_233836, _233838])], (420 ^ _219386) ^ [] : [-(leq(412 ^ [_233836, _233838], _233836))], (416 ^ _219386) ^ [] : [-(leq(411 ^ [_233836, _233838], _233836))]], 423 ^ _219386 : [(424 ^ _219386) ^ [_234593, _234595] : [-(a_select3(trans(_233838), _234595, _234593) = a_select3(trans(_233838), _234593, _234595)), leq(n0, _234595), leq(_234595, _233836), leq(n0, _234593), leq(_234593, _233836)]]], (202 ^ _219386) ^ [_226516, _226518, _226520, _226522, _226524, _226526] : [-(a_select3(_226526, _226522, _226518) = a_select3(_226524, _226520, _226516)), _226526 = _226524, _226522 = _226520, _226518 = _226516], (176 ^ _219386) ^ [_225552, _225554, _225556, _225558] : [-(plus(_225558, _225554) = plus(_225556, _225552)), _225558 = _225556, _225554 = _225552], (768 ^ _219386) ^ [_250493, _250495] : [leq(_250495, _250493), -(leq(succ(_250495), succ(_250493)))], (1031 ^ _219386) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219386) ^ [_248931] : [-(sum(n0, tptp_minus_1, _248931) = n0)], (560 ^ _219386) ^ [_240171, _240173, _240175] : [565 ^ _219386 : [(566 ^ _219386) ^ [] : [-(leq(n0, 563 ^ [_240171, _240173, _240175]))], (570 ^ _219386) ^ [] : [-(leq(n0, 564 ^ [_240171, _240173, _240175]))], (574 ^ _219386) ^ [] : [a_select3(_240175, 563 ^ [_240171, _240173, _240175], 564 ^ [_240171, _240173, _240175]) = a_select3(_240175, 564 ^ [_240171, _240173, _240175], 563 ^ [_240171, _240173, _240175])], (572 ^ _219386) ^ [] : [-(leq(564 ^ [_240171, _240173, _240175], _240171))], (568 ^ _219386) ^ [] : [-(leq(563 ^ [_240171, _240173, _240175], _240171))]], 577 ^ _219386 : [(578 ^ _219386) ^ [] : [-(leq(n0, 575 ^ [_240171, _240173, _240175]))], (582 ^ _219386) ^ [] : [-(leq(n0, 576 ^ [_240171, _240173, _240175]))], (586 ^ _219386) ^ [] : [a_select3(_240173, 575 ^ [_240171, _240173, _240175], 576 ^ [_240171, _240173, _240175]) = a_select3(_240173, 576 ^ [_240171, _240173, _240175], 575 ^ [_240171, _240173, _240175])], (584 ^ _219386) ^ [] : [-(leq(576 ^ [_240171, _240173, _240175], _240171))], (580 ^ _219386) ^ [] : [-(leq(575 ^ [_240171, _240173, _240175], _240171))]], 587 ^ _219386 : [(588 ^ _219386) ^ [_241680, _241682] : [-(a_select3(tptp_msub(_240175, _240173), _241682, _241680) = a_select3(tptp_msub(_240175, _240173), _241680, _241682)), leq(n0, _241682), leq(_241682, _240171), leq(n0, _241680), leq(_241680, _240171)]]], (967 ^ _219386) ^ [_257204] : [-(_257204 = n0), leq(n0, _257204), leq(_257204, n0)], (110 ^ _219386) ^ [_223164, _223166, _223168, _223170] : [-(dim(_223170, _223166) = dim(_223168, _223164)), _223170 = _223168, _223166 = _223164], (442 ^ _219386) ^ [_235140, _235142] : [445 ^ _219386 : [(446 ^ _219386) ^ [] : [-(leq(n0, 443 ^ [_235140, _235142]))], (450 ^ _219386) ^ [] : [-(leq(n0, 444 ^ [_235140, _235142]))], (454 ^ _219386) ^ [] : [a_select3(_235142, 443 ^ [_235140, _235142], 444 ^ [_235140, _235142]) = a_select3(_235142, 444 ^ [_235140, _235142], 443 ^ [_235140, _235142])], (452 ^ _219386) ^ [] : [-(leq(444 ^ [_235140, _235142], _235140))], (448 ^ _219386) ^ [] : [-(leq(443 ^ [_235140, _235142], _235140))]], 455 ^ _219386 : [(456 ^ _219386) ^ [_235897, _235899] : [-(a_select3(inv(_235142), _235899, _235897) = a_select3(inv(_235142), _235897, _235899)), leq(n0, _235899), leq(_235899, _235140), leq(n0, _235897), leq(_235897, _235140)]]], (1037 ^ _219386) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219386) ^ [_223495, _223497] : [_223497 = _223495, -(inv(_223497) = inv(_223495))], (907 ^ _219386) ^ [] : [-(gt(n4, n3))], (358 ^ _219386) ^ [_231992, _231994] : [leq(_231994, _231992), -(gt(succ(_231992), _231994))], (836 ^ _219386) ^ [_253393, _253395, _253397, _253399, _253401] : [-(a_select2(tptp_update2(_253397, _253401, _253393), _253399) = _253395), -(_253401 = _253399), a_select2(_253397, _253399) = _253395], (879 ^ _219386) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219386) ^ [_249231] : [-(plus(n1, _249231) = succ(_249231))], (867 ^ _219386) ^ [] : [def = use], (4 ^ _219386) ^ [_219617, _219619] : [_219619 = _219617, -(_219617 = _219619)], (895 ^ _219386) ^ [] : [-(gt(n5, n1))], (909 ^ _219386) ^ [] : [-(gt(n5, n3))], (750 ^ _219386) ^ [_249747] : [-(plus(n4, _249747) = succ(succ(succ(succ(_249747)))))], (322 ^ _219386) ^ [_230746, _230748] : [gt(_230746, _230748), -(leq(_230748, _230746))], (875 ^ _219386) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219386) ^ [_251891, _251893, _251895, _251897, _251899, _251901] : [-(a_select3(tptp_update3(_251893, _251897, _251895, _251891), _251901, _251899) = _251891), 807 ^ _219386 : [(808 ^ _219386) ^ [] : [-(leq(n0, 805 ^ [_251891, _251893, _251895, _251897, _251899, _251901]))], (812 ^ _219386) ^ [] : [-(leq(805 ^ [_251891, _251893, _251895, _251897, _251899, _251901], _251897))], (816 ^ _219386) ^ [] : [a_select3(_251893, 805 ^ [_251891, _251893, _251895, _251897, _251899, _251901], 806 ^ [_251891, _251893, _251895, _251897, _251899, _251901]) = _251891], (814 ^ _219386) ^ [] : [-(leq(806 ^ [_251891, _251893, _251895, _251897, _251899, _251901], _251895))], (810 ^ _219386) ^ [] : [-(leq(n0, 806 ^ [_251891, _251893, _251895, _251897, _251899, _251901]))]], leq(n0, _251901), leq(_251901, _251897), leq(n0, _251899), leq(_251899, _251895)], (234 ^ _219386) ^ [_227693, _227695, _227697, _227699] : [-(a_select2(_227699, _227695) = a_select2(_227697, _227693)), _227699 = _227697, _227695 = _227693], (774 ^ _219386) ^ [_250713, _250715] : [leq(succ(_250715), _250713), -(gt(_250713, _250715))], (897 ^ _219386) ^ [] : [-(gt(n2, n1))], (881 ^ _219386) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219386) ^ [_227060, _227062, _227064, _227066, _227068, _227070, _227072, _227074] : [-(tptp_update3(_227074, _227070, _227066, _227062) = tptp_update3(_227072, _227068, _227064, _227060)), _227074 = _227072, _227070 = _227068, _227066 = _227064, _227062 = _227060], (304 ^ _219386) ^ [_230131, _230133] : [gt(_230131, _230133), -(lt(_230133, _230131))], (762 ^ _219386) ^ [_250323, _250325] : [leq(succ(_250325), succ(_250323)), -(leq(_250325, _250323))], (514 ^ _219386) ^ [_238076, _238078, _238080] : [519 ^ _219386 : [(520 ^ _219386) ^ [] : [-(leq(n0, 517 ^ [_238076, _238078, _238080]))], (524 ^ _219386) ^ [] : [-(leq(n0, 518 ^ [_238076, _238078, _238080]))], (528 ^ _219386) ^ [] : [a_select3(_238080, 517 ^ [_238076, _238078, _238080], 518 ^ [_238076, _238078, _238080]) = a_select3(_238080, 518 ^ [_238076, _238078, _238080], 517 ^ [_238076, _238078, _238080])], (526 ^ _219386) ^ [] : [-(leq(518 ^ [_238076, _238078, _238080], _238076))], (522 ^ _219386) ^ [] : [-(leq(517 ^ [_238076, _238078, _238080], _238076))]], 531 ^ _219386 : [(532 ^ _219386) ^ [] : [-(leq(n0, 529 ^ [_238076, _238078, _238080]))], (536 ^ _219386) ^ [] : [-(leq(n0, 530 ^ [_238076, _238078, _238080]))], (540 ^ _219386) ^ [] : [a_select3(_238078, 529 ^ [_238076, _238078, _238080], 530 ^ [_238076, _238078, _238080]) = a_select3(_238078, 530 ^ [_238076, _238078, _238080], 529 ^ [_238076, _238078, _238080])], (538 ^ _219386) ^ [] : [-(leq(530 ^ [_238076, _238078, _238080], _238076))], (534 ^ _219386) ^ [] : [-(leq(529 ^ [_238076, _238078, _238080], _238076))]], 541 ^ _219386 : [(542 ^ _219386) ^ [_239585, _239587] : [-(a_select3(tptp_madd(_238080, _238078), _239587, _239585) = a_select3(tptp_madd(_238080, _238078), _239585, _239587)), leq(n0, _239587), leq(_239587, _238076), leq(n0, _239585), leq(_239585, _238076)]]], (136 ^ _219386) ^ [_224100, _224102, _224104, _224106] : [-(tptp_madd(_224106, _224102) = tptp_madd(_224104, _224100)), _224106 = _224104, _224102 = _224100], (899 ^ _219386) ^ [] : [-(gt(n3, n1))], (780 ^ _219386) ^ [_250927, _250929] : [leq(minus(_250929, _250927), _250929), -(leq(n0, _250927))], (748 ^ _219386) ^ [_249658] : [-(plus(_249658, n4) = succ(succ(succ(succ(_249658)))))], (126 ^ _219386) ^ [_223741, _223743, _223745, _223747] : [-(tptp_msub(_223747, _223743) = tptp_msub(_223745, _223741)), _223747 = _223745, _223743 = _223741], (903 ^ _219386) ^ [] : [-(gt(n5, n2))], (834 ^ _219386) ^ [_253233, _253235, _253237] : [-(a_select2(tptp_update2(_253237, _253235, _253233), _253235) = _253233)], (744 ^ _219386) ^ [_249484] : [-(plus(_249484, n3) = succ(succ(succ(_249484))))], (736 ^ _219386) ^ [_249148] : [-(plus(_249148, n1) = succ(_249148))], (754 ^ _219386) ^ [_249927] : [-(plus(n5, _249927) = succ(succ(succ(succ(succ(_249927))))))]], input).
% 47.13/45.80  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 47.13/45.80  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230956, _230958], [loopcounter, n1]]))).
% 47.13/45.80  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229153, _229155, _229157], [n0, n1, loopcounter]]))).
% 47.13/45.80  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(s_best7, n3))],extension(1099 ^ 3)).
% 47.13/45.80  ncf('1.1.1.1.1',plain,[leq(s_best7, n3)],extension(1117 ^ 4)).
% 47.13/45.80  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 47.13/45.80  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221474, _221476, _221478, _221480], [loopcounter, n1, succ(n0), n1]]))).
% 47.13/45.80  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250713, _250715], [loopcounter, n0]]))).
% 47.13/45.80  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(s_best7, n3))],extension(1099 ^ 4)).
% 47.13/45.80  ncf('1.1.2.1.1.1',plain,[leq(s_best7, n3)],extension(1117 ^ 5)).
% 47.13/45.80  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229510], [n1]]))).
% 47.13/45.80  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219617, _219619], [n1, succ(n0)]]))).
% 47.13/45.80  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 47.13/45.80  %-----------------------------------------------------
% 47.13/45.80  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------