%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV194+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 12:20:09 EDT 2023

% Result   : Theorem 0.44s 1.41s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV194+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 02:45:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.44/1.41  
% 0.44/1.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.44/1.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.41  %-----------------------------------------------------
% 0.44/1.41  ncf(matrix, plain, [(1155 ^ _215947) ^ [] : [-(leq(n0, 1152 ^ []))], (1157 ^ _215947) ^ [] : [-(leq(n0, 1153 ^ []))], (1159 ^ _215947) ^ [] : [-(leq(1152 ^ [], n2))], (1161 ^ _215947) ^ [] : [-(leq(1153 ^ [], pv5))], (1163 ^ _215947) ^ [] : [a_select3(u_defuse, 1152 ^ [], 1153 ^ []) = use], (1055 ^ _215947) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _215947) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _215947) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _215947) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _215947) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _215947) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _215947) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _215947) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _215947) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _215947) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _215947) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _215947) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _215947) ^ [] : [-(leq(n0, pv5))], (1111 ^ _215947) ^ [] : [-(leq(pv5, n0))], (1113 ^ _215947) ^ [] : [-(leq(pv5, n998))], (1115 ^ _215947) ^ [] : [-(gt(pv5, n0))], (1117 ^ _215947) ^ [_257920, _257922] : [-(a_select3(u_defuse, _257922, _257920) = use), leq(n0, _257922), leq(n0, _257920), leq(_257922, n2), leq(_257920, pred(pv5))], (1135 ^ _215947) ^ [_258385, _258387] : [-(a_select3(z_defuse, _258387, _258385) = use), leq(n0, _258387), leq(n0, _258385), leq(_258387, n2), leq(_258385, pred(pv5))], (2 ^ _215947) ^ [_216091] : [-(_216091 = _216091)], (4 ^ _215947) ^ [_216198, _216200] : [_216200 = _216198, -(_216198 = _216200)], (10 ^ _215947) ^ [_216402, _216404, _216406] : [-(_216406 = _216402), _216406 = _216404, _216404 = _216402], (20 ^ _215947) ^ [_216743, _216745, _216747, _216749] : [-(lt(_216747, _216743)), lt(_216749, _216745), _216749 = _216747, _216745 = _216743], (34 ^ _215947) ^ [_217187, _217189, _217191, _217193] : [-(geq(_217191, _217187)), geq(_217193, _217189), _217193 = _217191, _217189 = _217187], (48 ^ _215947) ^ [_217631, _217633, _217635, _217637] : [-(gt(_217635, _217631)), gt(_217637, _217633), _217637 = _217635, _217633 = _217631], (62 ^ _215947) ^ [_218055, _218057, _218059, _218061] : [-(leq(_218059, _218055)), leq(_218061, _218057), _218061 = _218059, _218057 = _218055], (76 ^ _215947) ^ [_218511, _218513, _218515, _218517] : [-(uniform_int_rnd(_218517, _218513) = uniform_int_rnd(_218515, _218511)), _218517 = _218515, _218513 = _218511], (86 ^ _215947) ^ [_218870, _218872, _218874, _218876] : [-(tptp_const_array1(_218876, _218872) = tptp_const_array1(_218874, _218870)), _218876 = _218874, _218872 = _218870], (96 ^ _215947) ^ [_219257, _219259, _219261, _219263, _219265, _219267] : [-(tptp_const_array2(_219267, _219263, _219259) = tptp_const_array2(_219265, _219261, _219257)), _219267 = _219265, _219263 = _219261, _219259 = _219257], (110 ^ _215947) ^ [_219745, _219747, _219749, _219751] : [-(dim(_219751, _219747) = dim(_219749, _219745)), _219751 = _219749, _219747 = _219745], (120 ^ _215947) ^ [_220076, _220078] : [_220078 = _220076, -(inv(_220078) = inv(_220076))], (126 ^ _215947) ^ [_220322, _220324, _220326, _220328] : [-(tptp_msub(_220328, _220324) = tptp_msub(_220326, _220322)), _220328 = _220326, _220324 = _220322], (136 ^ _215947) ^ [_220681, _220683, _220685, _220687] : [-(tptp_madd(_220687, _220683) = tptp_madd(_220685, _220681)), _220687 = _220685, _220683 = _220681], (146 ^ _215947) ^ [_221040, _221042, _221044, _221046] : [-(tptp_mmul(_221046, _221042) = tptp_mmul(_221044, _221040)), _221046 = _221044, _221042 = _221040], (156 ^ _215947) ^ [_221371, _221373] : [_221373 = _221371, -(trans(_221373) = trans(_221371))], (162 ^ _215947) ^ [_221645, _221647, _221649, _221651, _221653, _221655] : [-(sum(_221655, _221651, _221647) = sum(_221653, _221649, _221645)), _221655 = _221653, _221651 = _221649, _221647 = _221645], (176 ^ _215947) ^ [_222133, _222135, _222137, _222139] : [-(plus(_222139, _222135) = plus(_222137, _222133)), _222139 = _222137, _222135 = _222133], (186 ^ _215947) ^ [_222492, _222494, _222496, _222498] : [-(minus(_222498, _222494) = minus(_222496, _222492)), _222498 = _222496, _222494 = _222492], (196 ^ _215947) ^ [_222907, _222909, _222911, _222913, _222915, _222917, _222919, _222921] : [-(tptp_update3(_222921, _222917, _222913, _222909) = tptp_update3(_222919, _222915, _222911, _222907)), _222921 = _222919, _222917 = _222915, _222913 = _222911, _222909 = _222907], (214 ^ _215947) ^ [_223568, _223570, _223572, _223574, _223576, _223578] : [-(tptp_update2(_223578, _223574, _223570) = tptp_update2(_223576, _223572, _223568)), _223578 = _223576, _223574 = _223572, _223570 = _223568], (228 ^ _215947) ^ [_224028, _224030] : [_224030 = _224028, -(succ(_224030) = succ(_224028))], (234 ^ _215947) ^ [_224274, _224276, _224278, _224280] : [-(a_select2(_224280, _224276) = a_select2(_224278, _224274)), _224280 = _224278, _224276 = _224274], (244 ^ _215947) ^ [_224605, _224607] : [_224607 = _224605, -(pred(_224607) = pred(_224605))], (250 ^ _215947) ^ [_224859, _224861, _224863, _224865, _224867, _224869] : [-(a_select3(_224869, _224865, _224861) = a_select3(_224867, _224863, _224859)), _224869 = _224867, _224865 = _224863, _224861 = _224859], (869 ^ _215947) ^ [] : [-(gt(n5, n4))], (871 ^ _215947) ^ [] : [-(gt(n998, n4))], (873 ^ _215947) ^ [] : [-(gt(n998, n5))], (875 ^ _215947) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _215947) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _215947) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _215947) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _215947) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _215947) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _215947) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _215947) ^ [] : [-(gt(n4, n0))], (891 ^ _215947) ^ [] : [-(gt(n5, n0))], (893 ^ _215947) ^ [] : [-(gt(n998, n0))], (895 ^ _215947) ^ [] : [-(gt(n1, n0))], (897 ^ _215947) ^ [] : [-(gt(n2, n0))], (899 ^ _215947) ^ [] : [-(gt(n3, n0))], (901 ^ _215947) ^ [] : [-(gt(n4, n1))], (903 ^ _215947) ^ [] : [-(gt(n5, n1))], (905 ^ _215947) ^ [] : [-(gt(n998, n1))], (907 ^ _215947) ^ [] : [-(gt(n2, n1))], (909 ^ _215947) ^ [] : [-(gt(n3, n1))], (911 ^ _215947) ^ [] : [-(gt(n4, n2))], (913 ^ _215947) ^ [] : [-(gt(n5, n2))], (915 ^ _215947) ^ [] : [-(gt(n998, n2))], (917 ^ _215947) ^ [] : [-(gt(n3, n2))], (919 ^ _215947) ^ [] : [-(gt(n4, n3))], (921 ^ _215947) ^ [] : [-(gt(n5, n3))], (923 ^ _215947) ^ [] : [-(gt(n998, n3))], (925 ^ _215947) ^ [_252828] : [leq(n0, _252828), leq(_252828, n4), -(_252828 = n0), -(_252828 = n1), -(_252828 = n2), -(_252828 = n3), -(_252828 = n4)], (951 ^ _215947) ^ [_253449] : [leq(n0, _253449), leq(_253449, n5), -(_253449 = n0), -(_253449 = n1), -(_253449 = n2), -(_253449 = n3), -(_253449 = n4), -(_253449 = n5)], (981 ^ _215947) ^ [_254156] : [-(_254156 = n0), leq(n0, _254156), leq(_254156, n0)], (991 ^ _215947) ^ [_254431] : [leq(n0, _254431), leq(_254431, n1), -(_254431 = n0), -(_254431 = n1)], (1005 ^ _215947) ^ [_254794] : [leq(n0, _254794), leq(_254794, n2), -(_254794 = n0), -(_254794 = n1), -(_254794 = n2)], (1045 ^ _215947) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _215947) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _215947) ^ [] : [-(succ(n0) = n1)], (1051 ^ _215947) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _215947) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _215947) ^ [_255243] : [leq(n0, _255243), leq(_255243, n3), -(_255243 = n0), -(_255243 = n1), -(_255243 = n2), -(_255243 = n3)], (264 ^ _215947) ^ [_225419, _225421] : [-(gt(_225421, _225419)), -(gt(_225419, _225421)), -(_225421 = _225419)], (274 ^ _215947) ^ [_225734, _225736, _225738] : [-(gt(_225738, _225734)), gt(_225738, _225736), gt(_225736, _225734)], (284 ^ _215947) ^ [_226013] : [gt(_226013, _226013)], (286 ^ _215947) ^ [_226091] : [-(leq(_226091, _226091))], (288 ^ _215947) ^ [_226212, _226214, _226216] : [-(leq(_226216, _226212)), leq(_226216, _226214), leq(_226214, _226212)], (298 ^ _215947) ^ [_226550, _226552] : [lt(_226552, _226550), -(gt(_226550, _226552))], (304 ^ _215947) ^ [_226712, _226714] : [gt(_226712, _226714), -(lt(_226714, _226712))], (310 ^ _215947) ^ [_226953, _226955] : [geq(_226955, _226953), -(leq(_226953, _226955))], (316 ^ _215947) ^ [_227115, _227117] : [leq(_227115, _227117), -(geq(_227117, _227115))], (322 ^ _215947) ^ [_227327, _227329] : [gt(_227327, _227329), -(leq(_227329, _227327))], (328 ^ _215947) ^ [_227537, _227539] : [-(gt(_227537, _227539)), leq(_227539, _227537), -(_227539 = _227537)], (338 ^ _215947) ^ [_227868, _227870] : [leq(_227870, pred(_227868)), -(gt(_227868, _227870))], (344 ^ _215947) ^ [_228034, _228036] : [gt(_228034, _228036), -(leq(_228036, pred(_228034)))], (350 ^ _215947) ^ [_228221] : [-(gt(succ(_228221), _228221))], (352 ^ _215947) ^ [_228330, _228332] : [leq(_228332, _228330), -(leq(_228332, succ(_228330)))], (358 ^ _215947) ^ [_228573, _228575] : [leq(_228575, _228573), -(gt(succ(_228573), _228575))], (364 ^ _215947) ^ [_228739, _228741] : [gt(succ(_228739), _228741), -(leq(_228741, _228739))], (370 ^ _215947) ^ [_228955, _228957] : [leq(n0, _228957), -(leq(uniform_int_rnd(_228955, _228957), _228957))], (376 ^ _215947) ^ [_229171, _229173] : [leq(n0, _229173), -(leq(n0, uniform_int_rnd(_229171, _229173)))], (382 ^ _215947) ^ [_229415, _229417, _229419, _229421] : [-(a_select2(tptp_const_array1(dim(_229419, _229417), _229415), _229421) = _229415), leq(_229419, _229421), leq(_229421, _229417)], (392 ^ _215947) ^ [_229822, _229824, _229826, _229828, _229830, _229832, _229834] : [-(a_select3(tptp_const_array2(dim(_229832, _229830), dim(_229826, _229824), _229822), _229834, _229828) = _229822), leq(_229832, _229834), leq(_229834, _229830), leq(_229826, _229828), leq(_229828, _229824)], (410 ^ _215947) ^ [_230417, _230419] : [413 ^ _215947 : [(414 ^ _215947) ^ [] : [-(leq(n0, 411 ^ [_230417, _230419]))], (416 ^ _215947) ^ [] : [-(leq(411 ^ [_230417, _230419], _230417))], (418 ^ _215947) ^ [] : [-(leq(n0, 412 ^ [_230417, _230419]))], (420 ^ _215947) ^ [] : [-(leq(412 ^ [_230417, _230419], _230417))], (422 ^ _215947) ^ [] : [a_select3(_230419, 411 ^ [_230417, _230419], 412 ^ [_230417, _230419]) = a_select3(_230419, 412 ^ [_230417, _230419], 411 ^ [_230417, _230419])]], 423 ^ _215947 : [(424 ^ _215947) ^ [_231174, _231176] : [-(a_select3(trans(_230419), _231176, _231174) = a_select3(trans(_230419), _231174, _231176)), leq(n0, _231176), leq(_231176, _230417), leq(n0, _231174), leq(_231174, _230417)]]], (442 ^ _215947) ^ [_231721, _231723] : [445 ^ _215947 : [(446 ^ _215947) ^ [] : [-(leq(n0, 443 ^ [_231721, _231723]))], (448 ^ _215947) ^ [] : [-(leq(443 ^ [_231721, _231723], _231721))], (450 ^ _215947) ^ [] : [-(leq(n0, 444 ^ [_231721, _231723]))], (452 ^ _215947) ^ [] : [-(leq(444 ^ [_231721, _231723], _231721))], (454 ^ _215947) ^ [] : [a_select3(_231723, 443 ^ [_231721, _231723], 444 ^ [_231721, _231723]) = a_select3(_231723, 444 ^ [_231721, _231723], 443 ^ [_231721, _231723])]], 455 ^ _215947 : [(456 ^ _215947) ^ [_232478, _232480] : [-(a_select3(inv(_231723), _232480, _232478) = a_select3(inv(_231723), _232478, _232480)), leq(n0, _232480), leq(_232480, _231721), leq(n0, _232478), leq(_232478, _231721)]]], (474 ^ _215947) ^ [_233025, _233027] : [477 ^ _215947 : [(478 ^ _215947) ^ [] : [-(leq(n0, 475 ^ [_233025, _233027]))], (480 ^ _215947) ^ [] : [-(leq(475 ^ [_233025, _233027], _233025))], (482 ^ _215947) ^ [] : [-(leq(n0, 476 ^ [_233025, _233027]))], (484 ^ _215947) ^ [] : [-(leq(476 ^ [_233025, _233027], _233025))], (486 ^ _215947) ^ [] : [a_select3(_233027, 475 ^ [_233025, _233027], 476 ^ [_233025, _233027]) = a_select3(_233027, 476 ^ [_233025, _233027], 475 ^ [_233025, _233027])]], 487 ^ _215947 : [(488 ^ _215947) ^ [_233838, _233840, _233842, _233844] : [-(a_select3(tptp_update3(_233027, _233840, _233840, _233838), _233844, _233842) = a_select3(tptp_update3(_233027, _233840, _233840, _233838), _233842, _233844)), leq(n0, _233844), leq(_233844, _233025), leq(n0, _233842), leq(_233842, _233025), leq(n0, _233840), leq(_233840, _233025)]]], (514 ^ _215947) ^ [_234657, _234659, _234661] : [519 ^ _215947 : [(520 ^ _215947) ^ [] : [-(leq(n0, 517 ^ [_234657, _234659, _234661]))], (522 ^ _215947) ^ [] : [-(leq(517 ^ [_234657, _234659, _234661], _234657))], (524 ^ _215947) ^ [] : [-(leq(n0, 518 ^ [_234657, _234659, _234661]))], (526 ^ _215947) ^ [] : [-(leq(518 ^ [_234657, _234659, _234661], _234657))], (528 ^ _215947) ^ [] : [a_select3(_234661, 517 ^ [_234657, _234659, _234661], 518 ^ [_234657, _234659, _234661]) = a_select3(_234661, 518 ^ [_234657, _234659, _234661], 517 ^ [_234657, _234659, _234661])]], 531 ^ _215947 : [(532 ^ _215947) ^ [] : [-(leq(n0, 529 ^ [_234657, _234659, _234661]))], (534 ^ _215947) ^ [] : [-(leq(529 ^ [_234657, _234659, _234661], _234657))], (536 ^ _215947) ^ [] : [-(leq(n0, 530 ^ [_234657, _234659, _234661]))], (538 ^ _215947) ^ [] : [-(leq(530 ^ [_234657, _234659, _234661], _234657))], (540 ^ _215947) ^ [] : [a_select3(_234659, 529 ^ [_234657, _234659, _234661], 530 ^ [_234657, _234659, _234661]) = a_select3(_234659, 530 ^ [_234657, _234659, _234661], 529 ^ [_234657, _234659, _234661])]], 541 ^ _215947 : [(542 ^ _215947) ^ [_236166, _236168] : [-(a_select3(tptp_madd(_234661, _234659), _236168, _236166) = a_select3(tptp_madd(_234661, _234659), _236166, _236168)), leq(n0, _236168), leq(_236168, _234657), leq(n0, _236166), leq(_236166, _234657)]]], (560 ^ _215947) ^ [_236752, _236754, _236756] : [565 ^ _215947 : [(566 ^ _215947) ^ [] : [-(leq(n0, 563 ^ [_236752, _236754, _236756]))], (568 ^ _215947) ^ [] : [-(leq(563 ^ [_236752, _236754, _236756], _236752))], (570 ^ _215947) ^ [] : [-(leq(n0, 564 ^ [_236752, _236754, _236756]))], (572 ^ _215947) ^ [] : [-(leq(564 ^ [_236752, _236754, _236756], _236752))], (574 ^ _215947) ^ [] : [a_select3(_236756, 563 ^ [_236752, _236754, _236756], 564 ^ [_236752, _236754, _236756]) = a_select3(_236756, 564 ^ [_236752, _236754, _236756], 563 ^ [_236752, _236754, _236756])]], 577 ^ _215947 : [(578 ^ _215947) ^ [] : [-(leq(n0, 575 ^ [_236752, _236754, _236756]))], (580 ^ _215947) ^ [] : [-(leq(575 ^ [_236752, _236754, _236756], _236752))], (582 ^ _215947) ^ [] : [-(leq(n0, 576 ^ [_236752, _236754, _236756]))], (584 ^ _215947) ^ [] : [-(leq(576 ^ [_236752, _236754, _236756], _236752))], (586 ^ _215947) ^ [] : [a_select3(_236754, 575 ^ [_236752, _236754, _236756], 576 ^ [_236752, _236754, _236756]) = a_select3(_236754, 576 ^ [_236752, _236754, _236756], 575 ^ [_236752, _236754, _236756])]], 587 ^ _215947 : [(588 ^ _215947) ^ [_238261, _238263] : [-(a_select3(tptp_msub(_236756, _236754), _238263, _238261) = a_select3(tptp_msub(_236756, _236754), _238261, _238263)), leq(n0, _238263), leq(_238263, _236752), leq(n0, _238261), leq(_238261, _236752)]]], (606 ^ _215947) ^ [_238847, _238849, _238851] : [609 ^ _215947 : [(610 ^ _215947) ^ [] : [-(leq(n0, 607 ^ [_238847, _238849, _238851]))], (612 ^ _215947) ^ [] : [-(leq(607 ^ [_238847, _238849, _238851], _238847))], (614 ^ _215947) ^ [] : [-(leq(n0, 608 ^ [_238847, _238849, _238851]))], (616 ^ _215947) ^ [] : [-(leq(608 ^ [_238847, _238849, _238851], _238847))], (618 ^ _215947) ^ [] : [a_select3(_238849, 607 ^ [_238847, _238849, _238851], 608 ^ [_238847, _238849, _238851]) = a_select3(_238849, 608 ^ [_238847, _238849, _238851], 607 ^ [_238847, _238849, _238851])]], 619 ^ _215947 : [(620 ^ _215947) ^ [_239660, _239662] : [-(a_select3(tptp_mmul(_238851, tptp_mmul(_238849, trans(_238851))), _239662, _239660) = a_select3(tptp_mmul(_238851, tptp_mmul(_238849, trans(_238851))), _239660, _239662)), leq(n0, _239662), leq(_239662, _238847), leq(n0, _239660), leq(_239660, _238847)]]], (638 ^ _215947) ^ [_240279, _240281, _240283, _240285] : [641 ^ _215947 : [(642 ^ _215947) ^ [] : [-(leq(n0, 639 ^ [_240279, _240281, _240283, _240285]))], (644 ^ _215947) ^ [] : [-(leq(639 ^ [_240279, _240281, _240283, _240285], _240279))], (646 ^ _215947) ^ [] : [-(leq(n0, 640 ^ [_240279, _240281, _240283, _240285]))], (648 ^ _215947) ^ [] : [-(leq(640 ^ [_240279, _240281, _240283, _240285], _240279))], (650 ^ _215947) ^ [] : [a_select3(_240283, 639 ^ [_240279, _240281, _240283, _240285], 640 ^ [_240279, _240281, _240283, _240285]) = a_select3(_240283, 640 ^ [_240279, _240281, _240283, _240285], 639 ^ [_240279, _240281, _240283, _240285])]], 651 ^ _215947 : [(652 ^ _215947) ^ [_241136, _241138] : [-(a_select3(tptp_mmul(_240285, tptp_mmul(_240283, trans(_240285))), _241138, _241136) = a_select3(tptp_mmul(_240285, tptp_mmul(_240283, trans(_240285))), _241136, _241138)), leq(n0, _241138), leq(_241138, _240281), leq(n0, _241136), leq(_241136, _240281)]]], (670 ^ _215947) ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845] : [675 ^ _215947 : [(676 ^ _215947) ^ [] : [-(leq(n0, 673 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (678 ^ _215947) ^ [] : [-(leq(673 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241831))], (680 ^ _215947) ^ [] : [-(leq(n0, 674 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (682 ^ _215947) ^ [] : [-(leq(674 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241831))], (684 ^ _215947) ^ [] : [a_select3(_241839, 673 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 674 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]) = a_select3(_241839, 674 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 673 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845])]], 689 ^ _215947 : [(690 ^ _215947) ^ [] : [-(leq(n0, 687 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (692 ^ _215947) ^ [] : [-(leq(687 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241833))], (694 ^ _215947) ^ [] : [-(leq(n0, 688 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (696 ^ _215947) ^ [] : [-(leq(688 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241833))], (698 ^ _215947) ^ [] : [a_select3(_241845, 687 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 688 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]) = a_select3(_241845, 688 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 687 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845])]], 701 ^ _215947 : [(702 ^ _215947) ^ [] : [-(leq(n0, 699 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (704 ^ _215947) ^ [] : [-(leq(699 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241833))], (706 ^ _215947) ^ [] : [-(leq(n0, 700 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]))], (708 ^ _215947) ^ [] : [-(leq(700 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], _241833))], (710 ^ _215947) ^ [] : [a_select3(_241835, 699 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 700 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845]) = a_select3(_241835, 700 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845], 699 ^ [_241831, _241833, _241835, _241837, _241839, _241841, _241843, _241845])]], 711 ^ _215947 : [(712 ^ _215947) ^ [_244759, _244761] : [-(a_select3(tptp_madd(_241845, tptp_mmul(_241843, tptp_mmul(tptp_madd(tptp_mmul(_241841, tptp_mmul(_241839, trans(_241841))), tptp_mmul(_241837, tptp_mmul(_241835, trans(_241837)))), trans(_241843)))), _244761, _244759) = a_select3(tptp_madd(_241845, tptp_mmul(_241843, tptp_mmul(tptp_madd(tptp_mmul(_241841, tptp_mmul(_241839, trans(_241841))), tptp_mmul(_241837, tptp_mmul(_241835, trans(_241837)))), trans(_241843)))), _244759, _244761)), leq(n0, _244761), leq(_244761, _241833), leq(n0, _244759), leq(_244759, _241833)]]], (730 ^ _215947) ^ [_245512] : [-(sum(n0, tptp_minus_1, _245512) = n0)], (732 ^ _215947) ^ [_245594] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _245594))], (734 ^ _215947) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _215947) ^ [_245729] : [-(plus(_245729, n1) = succ(_245729))], (738 ^ _215947) ^ [_245812] : [-(plus(n1, _245812) = succ(_245812))], (740 ^ _215947) ^ [_245895] : [-(plus(_245895, n2) = succ(succ(_245895)))], (742 ^ _215947) ^ [_245980] : [-(plus(n2, _245980) = succ(succ(_245980)))], (744 ^ _215947) ^ [_246065] : [-(plus(_246065, n3) = succ(succ(succ(_246065))))], (746 ^ _215947) ^ [_246152] : [-(plus(n3, _246152) = succ(succ(succ(_246152))))], (748 ^ _215947) ^ [_246239] : [-(plus(_246239, n4) = succ(succ(succ(succ(_246239)))))], (750 ^ _215947) ^ [_246328] : [-(plus(n4, _246328) = succ(succ(succ(succ(_246328)))))], (752 ^ _215947) ^ [_246417] : [-(plus(_246417, n5) = succ(succ(succ(succ(succ(_246417))))))], (754 ^ _215947) ^ [_246508] : [-(plus(n5, _246508) = succ(succ(succ(succ(succ(_246508))))))], (756 ^ _215947) ^ [_246599] : [-(minus(_246599, n1) = pred(_246599))], (758 ^ _215947) ^ [_246682] : [-(pred(succ(_246682)) = _246682)], (760 ^ _215947) ^ [_246764] : [-(succ(pred(_246764)) = _246764)], (762 ^ _215947) ^ [_246904, _246906] : [leq(succ(_246906), succ(_246904)), -(leq(_246906, _246904))], (768 ^ _215947) ^ [_247074, _247076] : [leq(_247076, _247074), -(leq(succ(_247076), succ(_247074)))], (774 ^ _215947) ^ [_247294, _247296] : [leq(succ(_247296), _247294), -(gt(_247294, _247296))], (780 ^ _215947) ^ [_247508, _247510] : [leq(minus(_247510, _247508), _247510), -(leq(n0, _247508))], (786 ^ _215947) ^ [_247737, _247739, _247741, _247743] : [-(a_select3(tptp_update3(_247743, _247741, _247739, _247737), _247741, _247739) = _247737)], (788 ^ _215947) ^ [_247929, _247931, _247933, _247935, _247937, _247939, _247941] : [-(a_select3(tptp_update3(_247933, _247941, _247939, _247929), _247937, _247935) = _247931), -(_247941 = _247937), _247939 = _247935, a_select3(_247933, _247937, _247935) = _247931], (802 ^ _215947) ^ [_248472, _248474, _248476, _248478, _248480, _248482] : [-(a_select3(tptp_update3(_248474, _248478, _248476, _248472), _248482, _248480) = _248472), 807 ^ _215947 : [(808 ^ _215947) ^ [] : [-(leq(n0, 805 ^ [_248472, _248474, _248476, _248478, _248480, _248482]))], (810 ^ _215947) ^ [] : [-(leq(n0, 806 ^ [_248472, _248474, _248476, _248478, _248480, _248482]))], (812 ^ _215947) ^ [] : [-(leq(805 ^ [_248472, _248474, _248476, _248478, _248480, _248482], _248478))], (814 ^ _215947) ^ [] : [-(leq(806 ^ [_248472, _248474, _248476, _248478, _248480, _248482], _248476))], (816 ^ _215947) ^ [] : [a_select3(_248474, 805 ^ [_248472, _248474, _248476, _248478, _248480, _248482], 806 ^ [_248472, _248474, _248476, _248478, _248480, _248482]) = _248472]], leq(n0, _248482), leq(_248482, _248478), leq(n0, _248480), leq(_248480, _248476)], (834 ^ _215947) ^ [_249814, _249816, _249818] : [-(a_select2(tptp_update2(_249818, _249816, _249814), _249816) = _249814)], (836 ^ _215947) ^ [_249974, _249976, _249978, _249980, _249982] : [-(a_select2(tptp_update2(_249978, _249982, _249974), _249980) = _249976), -(_249982 = _249980), a_select2(_249978, _249980) = _249976], (865 ^ _215947) ^ [] : [-(true)], (867 ^ _215947) ^ [] : [def = use], (846 ^ _215947) ^ [_250354, _250356, _250358, _250360] : [-(a_select2(tptp_update2(_250356, _250358, _250354), _250360) = _250354), 850 ^ _215947 : [(851 ^ _215947) ^ [] : [-(leq(n0, 849 ^ [_250354, _250356, _250358, _250360]))], (853 ^ _215947) ^ [] : [-(leq(849 ^ [_250354, _250356, _250358, _250360], _250358))], (855 ^ _215947) ^ [] : [a_select2(_250356, 849 ^ [_250354, _250356, _250358, _250360]) = _250354]], leq(n0, _250360), leq(_250360, _250358)]], input).
% 0.44/1.41  ncf('1',plain,[gt(pv5, pv5)],start(284 ^ 0,bind([[_226013], [pv5]]))).
% 0.44/1.41  ncf('1.1',plain,[-(gt(pv5, pv5)), gt(pv5, n0), pv5 = pv5, n0 = pv5],extension(48 ^ 1,bind([[_217631, _217633, _217635, _217637], [pv5, n0, pv5, pv5]]))).
% 0.44/1.41  ncf('1.1.1',plain,[-(gt(pv5, n0))],extension(1115 ^ 2)).
% 0.44/1.41  ncf('1.1.2',plain,[-(pv5 = pv5)],extension(2 ^ 2,bind([[_216091], [pv5]]))).
% 0.44/1.41  ncf('1.1.3',plain,[-(n0 = pv5), pv5 = n0],extension(4 ^ 2,bind([[_216198, _216200], [n0, pv5]]))).
% 0.44/1.41  ncf('1.1.3.1',plain,[-(pv5 = n0), leq(n0, pv5), leq(pv5, n0)],extension(981 ^ 3,bind([[_254156], [pv5]]))).
% 0.44/1.41  ncf('1.1.3.1.1',plain,[-(leq(n0, pv5))],extension(1109 ^ 4)).
% 0.44/1.41  ncf('1.1.3.1.2',plain,[-(leq(pv5, n0))],extension(1111 ^ 4)).
% 0.44/1.41  %-----------------------------------------------------
% 0.44/1.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------