%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV031+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:19:48 EDT 2023

% Result   : Theorem 0.22s 1.33s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWV031+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.09  % Command  : nanocop.sh %s %d
% 0.09/0.29  % Computer : n027.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Fri May 19 03:07:36 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.22/1.33  
% 0.22/1.33  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.22/1.33  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/1.33  %-----------------------------------------------------
% 0.22/1.33  ncf(matrix, plain, [(1109 ^ _212949) ^ [] : [init = init, a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init, leq(n0, pv9), leq(pv9, minus(n410, n1)), 1127 ^ _212949 : [(1128 ^ _212949) ^ [] : [-(leq(n0, 1126 ^ []))], (1130 ^ _212949) ^ [] : [-(leq(1126 ^ [], n2))], (1133 ^ _212949) ^ [] : [-(leq(n0, 1131 ^ []))], (1135 ^ _212949) ^ [] : [-(leq(1131 ^ [], n3))], (1137 ^ _212949) ^ [] : [a_select3(simplex7_init, 1131 ^ [], 1126 ^ []) = init]], 1139 ^ _212949 : [(1140 ^ _212949) ^ [] : [-(leq(n0, 1138 ^ []))], (1142 ^ _212949) ^ [] : [-(leq(1138 ^ [], n3))], (1144 ^ _212949) ^ [] : [a_select2(s_values7_init, 1138 ^ []) = init]]], (1071 ^ _212949) ^ [] : [-(init = init)], (1073 ^ _212949) ^ [] : [-(leq(n0, pv9))], (1075 ^ _212949) ^ [] : [-(leq(n0, pv10))], (1077 ^ _212949) ^ [] : [-(leq(pv9, minus(n410, n1)))], (1079 ^ _212949) ^ [] : [-(leq(pv10, minus(n330, n1)))], (1099 ^ _212949) ^ [_254496] : [-(a_select2(s_values7_init, _254496) = init), leq(n0, _254496), leq(_254496, n3)], (1081 ^ _212949) ^ [_253986] : [leq(n0, _253986), leq(_253986, n2), 1088 ^ _212949 : [(1089 ^ _212949) ^ [_254214] : [-(a_select3(simplex7_init, _254214, _253986) = init), leq(n0, _254214), leq(_254214, n3)]]], (2 ^ _212949) ^ [_213093] : [-(_213093 = _213093)], (4 ^ _212949) ^ [_213200, _213202] : [_213202 = _213200, -(_213200 = _213202)], (10 ^ _212949) ^ [_213404, _213406, _213408] : [-(_213408 = _213404), _213408 = _213406, _213406 = _213404], (20 ^ _212949) ^ [_213745, _213747, _213749, _213751] : [-(lt(_213749, _213745)), lt(_213751, _213747), _213751 = _213749, _213747 = _213745], (34 ^ _212949) ^ [_214189, _214191, _214193, _214195] : [-(geq(_214193, _214189)), geq(_214195, _214191), _214195 = _214193, _214191 = _214189], (48 ^ _212949) ^ [_214633, _214635, _214637, _214639] : [-(gt(_214637, _214633)), gt(_214639, _214635), _214639 = _214637, _214635 = _214633], (62 ^ _212949) ^ [_215057, _215059, _215061, _215063] : [-(leq(_215061, _215057)), leq(_215063, _215059), _215063 = _215061, _215059 = _215057], (76 ^ _212949) ^ [_215513, _215515, _215517, _215519] : [-(uniform_int_rnd(_215519, _215515) = uniform_int_rnd(_215517, _215513)), _215519 = _215517, _215515 = _215513], (86 ^ _212949) ^ [_215872, _215874, _215876, _215878] : [-(tptp_const_array1(_215878, _215874) = tptp_const_array1(_215876, _215872)), _215878 = _215876, _215874 = _215872], (96 ^ _212949) ^ [_216203, _216205] : [_216205 = _216203, -(inv(_216205) = inv(_216203))], (102 ^ _212949) ^ [_216449, _216451, _216453, _216455] : [-(tptp_msub(_216455, _216451) = tptp_msub(_216453, _216449)), _216455 = _216453, _216451 = _216449], (112 ^ _212949) ^ [_216808, _216810, _216812, _216814] : [-(tptp_madd(_216814, _216810) = tptp_madd(_216812, _216808)), _216814 = _216812, _216810 = _216808], (122 ^ _212949) ^ [_217167, _217169, _217171, _217173] : [-(tptp_mmul(_217173, _217169) = tptp_mmul(_217171, _217167)), _217173 = _217171, _217169 = _217167], (132 ^ _212949) ^ [_217498, _217500] : [_217500 = _217498, -(trans(_217500) = trans(_217498))], (138 ^ _212949) ^ [_217772, _217774, _217776, _217778, _217780, _217782] : [-(sum(_217782, _217778, _217774) = sum(_217780, _217776, _217772)), _217782 = _217780, _217778 = _217776, _217774 = _217772], (152 ^ _212949) ^ [_218260, _218262, _218264, _218266] : [-(plus(_218266, _218262) = plus(_218264, _218260)), _218266 = _218264, _218262 = _218260], (162 ^ _212949) ^ [_218591, _218593] : [_218593 = _218591, -(pred(_218593) = pred(_218591))], (168 ^ _212949) ^ [_218893, _218895, _218897, _218899, _218901, _218903, _218905, _218907] : [-(tptp_update3(_218907, _218903, _218899, _218895) = tptp_update3(_218905, _218901, _218897, _218893)), _218907 = _218905, _218903 = _218901, _218899 = _218897, _218895 = _218893], (186 ^ _212949) ^ [_219554, _219556, _219558, _219560, _219562, _219564] : [-(tptp_update2(_219564, _219560, _219556) = tptp_update2(_219562, _219558, _219554)), _219564 = _219562, _219560 = _219558, _219556 = _219554], (200 ^ _212949) ^ [_220014, _220016] : [_220016 = _220014, -(succ(_220016) = succ(_220014))], (206 ^ _212949) ^ [_220288, _220290, _220292, _220294, _220296, _220298] : [-(tptp_const_array2(_220298, _220294, _220290) = tptp_const_array2(_220296, _220292, _220288)), _220298 = _220296, _220294 = _220292, _220290 = _220288], (220 ^ _212949) ^ [_220776, _220778, _220780, _220782] : [-(dim(_220782, _220778) = dim(_220780, _220776)), _220782 = _220780, _220778 = _220776], (230 ^ _212949) ^ [_221135, _221137, _221139, _221141] : [-(minus(_221141, _221137) = minus(_221139, _221135)), _221141 = _221139, _221137 = _221135], (254 ^ _212949) ^ [_221990, _221992, _221994, _221996] : [-(a_select2(_221996, _221992) = a_select2(_221994, _221990)), _221996 = _221994, _221992 = _221990], (240 ^ _212949) ^ [_221522, _221524, _221526, _221528, _221530, _221532] : [-(a_select3(_221532, _221528, _221524) = a_select3(_221530, _221526, _221522)), _221532 = _221530, _221528 = _221526, _221524 = _221522], (869 ^ _212949) ^ [] : [-(gt(n5, n4))], (871 ^ _212949) ^ [] : [-(gt(n330, n4))], (873 ^ _212949) ^ [] : [-(gt(n410, n4))], (875 ^ _212949) ^ [] : [-(gt(n330, n5))], (877 ^ _212949) ^ [] : [-(gt(n410, n5))], (879 ^ _212949) ^ [] : [-(gt(n410, n330))], (881 ^ _212949) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _212949) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _212949) ^ [] : [-(gt(n330, tptp_minus_1))], (887 ^ _212949) ^ [] : [-(gt(n410, tptp_minus_1))], (889 ^ _212949) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _212949) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _212949) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _212949) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _212949) ^ [] : [-(gt(n4, n0))], (899 ^ _212949) ^ [] : [-(gt(n5, n0))], (901 ^ _212949) ^ [] : [-(gt(n330, n0))], (903 ^ _212949) ^ [] : [-(gt(n410, n0))], (905 ^ _212949) ^ [] : [-(gt(n1, n0))], (907 ^ _212949) ^ [] : [-(gt(n2, n0))], (909 ^ _212949) ^ [] : [-(gt(n3, n0))], (911 ^ _212949) ^ [] : [-(gt(n4, n1))], (913 ^ _212949) ^ [] : [-(gt(n5, n1))], (915 ^ _212949) ^ [] : [-(gt(n330, n1))], (917 ^ _212949) ^ [] : [-(gt(n410, n1))], (919 ^ _212949) ^ [] : [-(gt(n2, n1))], (921 ^ _212949) ^ [] : [-(gt(n3, n1))], (923 ^ _212949) ^ [] : [-(gt(n4, n2))], (925 ^ _212949) ^ [] : [-(gt(n5, n2))], (927 ^ _212949) ^ [] : [-(gt(n330, n2))], (929 ^ _212949) ^ [] : [-(gt(n410, n2))], (931 ^ _212949) ^ [] : [-(gt(n3, n2))], (933 ^ _212949) ^ [] : [-(gt(n4, n3))], (935 ^ _212949) ^ [] : [-(gt(n5, n3))], (937 ^ _212949) ^ [] : [-(gt(n330, n3))], (939 ^ _212949) ^ [] : [-(gt(n410, n3))], (941 ^ _212949) ^ [_250254] : [leq(n0, _250254), leq(_250254, n4), -(_250254 = n0), -(_250254 = n1), -(_250254 = n2), -(_250254 = n3), -(_250254 = n4)], (967 ^ _212949) ^ [_250875] : [leq(n0, _250875), leq(_250875, n5), -(_250875 = n0), -(_250875 = n1), -(_250875 = n2), -(_250875 = n3), -(_250875 = n4), -(_250875 = n5)], (997 ^ _212949) ^ [_251582] : [-(_251582 = n0), leq(n0, _251582), leq(_251582, n0)], (1007 ^ _212949) ^ [_251857] : [leq(n0, _251857), leq(_251857, n1), -(_251857 = n0), -(_251857 = n1)], (1021 ^ _212949) ^ [_252220] : [leq(n0, _252220), leq(_252220, n2), -(_252220 = n0), -(_252220 = n1), -(_252220 = n2)], (1061 ^ _212949) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1063 ^ _212949) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1065 ^ _212949) ^ [] : [-(succ(n0) = n1)], (1067 ^ _212949) ^ [] : [-(succ(succ(n0)) = n2)], (1069 ^ _212949) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1039 ^ _212949) ^ [_252669] : [leq(n0, _252669), leq(_252669, n3), -(_252669 = n0), -(_252669 = n1), -(_252669 = n2), -(_252669 = n3)], (264 ^ _212949) ^ [_222421, _222423] : [-(gt(_222423, _222421)), -(gt(_222421, _222423)), -(_222423 = _222421)], (274 ^ _212949) ^ [_222736, _222738, _222740] : [-(gt(_222740, _222736)), gt(_222740, _222738), gt(_222738, _222736)], (284 ^ _212949) ^ [_223015] : [gt(_223015, _223015)], (286 ^ _212949) ^ [_223093] : [-(leq(_223093, _223093))], (288 ^ _212949) ^ [_223214, _223216, _223218] : [-(leq(_223218, _223214)), leq(_223218, _223216), leq(_223216, _223214)], (298 ^ _212949) ^ [_223552, _223554] : [lt(_223554, _223552), -(gt(_223552, _223554))], (304 ^ _212949) ^ [_223714, _223716] : [gt(_223714, _223716), -(lt(_223716, _223714))], (310 ^ _212949) ^ [_223955, _223957] : [geq(_223957, _223955), -(leq(_223955, _223957))], (316 ^ _212949) ^ [_224117, _224119] : [leq(_224117, _224119), -(geq(_224119, _224117))], (322 ^ _212949) ^ [_224329, _224331] : [gt(_224329, _224331), -(leq(_224331, _224329))], (328 ^ _212949) ^ [_224539, _224541] : [-(gt(_224539, _224541)), leq(_224541, _224539), -(_224541 = _224539)], (338 ^ _212949) ^ [_224870, _224872] : [leq(_224872, pred(_224870)), -(gt(_224870, _224872))], (344 ^ _212949) ^ [_225036, _225038] : [gt(_225036, _225038), -(leq(_225038, pred(_225036)))], (350 ^ _212949) ^ [_225223] : [-(gt(succ(_225223), _225223))], (352 ^ _212949) ^ [_225332, _225334] : [leq(_225334, _225332), -(leq(_225334, succ(_225332)))], (358 ^ _212949) ^ [_225575, _225577] : [leq(_225577, _225575), -(gt(succ(_225575), _225577))], (364 ^ _212949) ^ [_225741, _225743] : [gt(succ(_225741), _225743), -(leq(_225743, _225741))], (370 ^ _212949) ^ [_225957, _225959] : [leq(n0, _225959), -(leq(uniform_int_rnd(_225957, _225959), _225959))], (376 ^ _212949) ^ [_226173, _226175] : [leq(n0, _226175), -(leq(n0, uniform_int_rnd(_226173, _226175)))], (382 ^ _212949) ^ [_226417, _226419, _226421, _226423] : [-(a_select2(tptp_const_array1(dim(_226421, _226419), _226417), _226423) = _226417), leq(_226421, _226423), leq(_226423, _226419)], (392 ^ _212949) ^ [_226824, _226826, _226828, _226830, _226832, _226834, _226836] : [-(a_select3(tptp_const_array2(dim(_226834, _226832), dim(_226828, _226826), _226824), _226836, _226830) = _226824), leq(_226834, _226836), leq(_226836, _226832), leq(_226828, _226830), leq(_226830, _226826)], (410 ^ _212949) ^ [_227419, _227421] : [413 ^ _212949 : [(414 ^ _212949) ^ [] : [-(leq(n0, 411 ^ [_227419, _227421]))], (416 ^ _212949) ^ [] : [-(leq(411 ^ [_227419, _227421], _227419))], (418 ^ _212949) ^ [] : [-(leq(n0, 412 ^ [_227419, _227421]))], (420 ^ _212949) ^ [] : [-(leq(412 ^ [_227419, _227421], _227419))], (422 ^ _212949) ^ [] : [a_select3(_227421, 411 ^ [_227419, _227421], 412 ^ [_227419, _227421]) = a_select3(_227421, 412 ^ [_227419, _227421], 411 ^ [_227419, _227421])]], 423 ^ _212949 : [(424 ^ _212949) ^ [_228176, _228178] : [-(a_select3(trans(_227421), _228178, _228176) = a_select3(trans(_227421), _228176, _228178)), leq(n0, _228178), leq(_228178, _227419), leq(n0, _228176), leq(_228176, _227419)]]], (442 ^ _212949) ^ [_228723, _228725] : [445 ^ _212949 : [(446 ^ _212949) ^ [] : [-(leq(n0, 443 ^ [_228723, _228725]))], (448 ^ _212949) ^ [] : [-(leq(443 ^ [_228723, _228725], _228723))], (450 ^ _212949) ^ [] : [-(leq(n0, 444 ^ [_228723, _228725]))], (452 ^ _212949) ^ [] : [-(leq(444 ^ [_228723, _228725], _228723))], (454 ^ _212949) ^ [] : [a_select3(_228725, 443 ^ [_228723, _228725], 444 ^ [_228723, _228725]) = a_select3(_228725, 444 ^ [_228723, _228725], 443 ^ [_228723, _228725])]], 455 ^ _212949 : [(456 ^ _212949) ^ [_229480, _229482] : [-(a_select3(inv(_228725), _229482, _229480) = a_select3(inv(_228725), _229480, _229482)), leq(n0, _229482), leq(_229482, _228723), leq(n0, _229480), leq(_229480, _228723)]]], (474 ^ _212949) ^ [_230027, _230029] : [477 ^ _212949 : [(478 ^ _212949) ^ [] : [-(leq(n0, 475 ^ [_230027, _230029]))], (480 ^ _212949) ^ [] : [-(leq(475 ^ [_230027, _230029], _230027))], (482 ^ _212949) ^ [] : [-(leq(n0, 476 ^ [_230027, _230029]))], (484 ^ _212949) ^ [] : [-(leq(476 ^ [_230027, _230029], _230027))], (486 ^ _212949) ^ [] : [a_select3(_230029, 475 ^ [_230027, _230029], 476 ^ [_230027, _230029]) = a_select3(_230029, 476 ^ [_230027, _230029], 475 ^ [_230027, _230029])]], 487 ^ _212949 : [(488 ^ _212949) ^ [_230840, _230842, _230844, _230846] : [-(a_select3(tptp_update3(_230029, _230842, _230842, _230840), _230846, _230844) = a_select3(tptp_update3(_230029, _230842, _230842, _230840), _230844, _230846)), leq(n0, _230846), leq(_230846, _230027), leq(n0, _230844), leq(_230844, _230027), leq(n0, _230842), leq(_230842, _230027)]]], (514 ^ _212949) ^ [_231659, _231661, _231663] : [519 ^ _212949 : [(520 ^ _212949) ^ [] : [-(leq(n0, 517 ^ [_231659, _231661, _231663]))], (522 ^ _212949) ^ [] : [-(leq(517 ^ [_231659, _231661, _231663], _231659))], (524 ^ _212949) ^ [] : [-(leq(n0, 518 ^ [_231659, _231661, _231663]))], (526 ^ _212949) ^ [] : [-(leq(518 ^ [_231659, _231661, _231663], _231659))], (528 ^ _212949) ^ [] : [a_select3(_231663, 517 ^ [_231659, _231661, _231663], 518 ^ [_231659, _231661, _231663]) = a_select3(_231663, 518 ^ [_231659, _231661, _231663], 517 ^ [_231659, _231661, _231663])]], 531 ^ _212949 : [(532 ^ _212949) ^ [] : [-(leq(n0, 529 ^ [_231659, _231661, _231663]))], (534 ^ _212949) ^ [] : [-(leq(529 ^ [_231659, _231661, _231663], _231659))], (536 ^ _212949) ^ [] : [-(leq(n0, 530 ^ [_231659, _231661, _231663]))], (538 ^ _212949) ^ [] : [-(leq(530 ^ [_231659, _231661, _231663], _231659))], (540 ^ _212949) ^ [] : [a_select3(_231661, 529 ^ [_231659, _231661, _231663], 530 ^ [_231659, _231661, _231663]) = a_select3(_231661, 530 ^ [_231659, _231661, _231663], 529 ^ [_231659, _231661, _231663])]], 541 ^ _212949 : [(542 ^ _212949) ^ [_233168, _233170] : [-(a_select3(tptp_madd(_231663, _231661), _233170, _233168) = a_select3(tptp_madd(_231663, _231661), _233168, _233170)), leq(n0, _233170), leq(_233170, _231659), leq(n0, _233168), leq(_233168, _231659)]]], (560 ^ _212949) ^ [_233754, _233756, _233758] : [565 ^ _212949 : [(566 ^ _212949) ^ [] : [-(leq(n0, 563 ^ [_233754, _233756, _233758]))], (568 ^ _212949) ^ [] : [-(leq(563 ^ [_233754, _233756, _233758], _233754))], (570 ^ _212949) ^ [] : [-(leq(n0, 564 ^ [_233754, _233756, _233758]))], (572 ^ _212949) ^ [] : [-(leq(564 ^ [_233754, _233756, _233758], _233754))], (574 ^ _212949) ^ [] : [a_select3(_233758, 563 ^ [_233754, _233756, _233758], 564 ^ [_233754, _233756, _233758]) = a_select3(_233758, 564 ^ [_233754, _233756, _233758], 563 ^ [_233754, _233756, _233758])]], 577 ^ _212949 : [(578 ^ _212949) ^ [] : [-(leq(n0, 575 ^ [_233754, _233756, _233758]))], (580 ^ _212949) ^ [] : [-(leq(575 ^ [_233754, _233756, _233758], _233754))], (582 ^ _212949) ^ [] : [-(leq(n0, 576 ^ [_233754, _233756, _233758]))], (584 ^ _212949) ^ [] : [-(leq(576 ^ [_233754, _233756, _233758], _233754))], (586 ^ _212949) ^ [] : [a_select3(_233756, 575 ^ [_233754, _233756, _233758], 576 ^ [_233754, _233756, _233758]) = a_select3(_233756, 576 ^ [_233754, _233756, _233758], 575 ^ [_233754, _233756, _233758])]], 587 ^ _212949 : [(588 ^ _212949) ^ [_235263, _235265] : [-(a_select3(tptp_msub(_233758, _233756), _235265, _235263) = a_select3(tptp_msub(_233758, _233756), _235263, _235265)), leq(n0, _235265), leq(_235265, _233754), leq(n0, _235263), leq(_235263, _233754)]]], (606 ^ _212949) ^ [_235849, _235851, _235853] : [609 ^ _212949 : [(610 ^ _212949) ^ [] : [-(leq(n0, 607 ^ [_235849, _235851, _235853]))], (612 ^ _212949) ^ [] : [-(leq(607 ^ [_235849, _235851, _235853], _235849))], (614 ^ _212949) ^ [] : [-(leq(n0, 608 ^ [_235849, _235851, _235853]))], (616 ^ _212949) ^ [] : [-(leq(608 ^ [_235849, _235851, _235853], _235849))], (618 ^ _212949) ^ [] : [a_select3(_235851, 607 ^ [_235849, _235851, _235853], 608 ^ [_235849, _235851, _235853]) = a_select3(_235851, 608 ^ [_235849, _235851, _235853], 607 ^ [_235849, _235851, _235853])]], 619 ^ _212949 : [(620 ^ _212949) ^ [_236662, _236664] : [-(a_select3(tptp_mmul(_235853, tptp_mmul(_235851, trans(_235853))), _236664, _236662) = a_select3(tptp_mmul(_235853, tptp_mmul(_235851, trans(_235853))), _236662, _236664)), leq(n0, _236664), leq(_236664, _235849), leq(n0, _236662), leq(_236662, _235849)]]], (638 ^ _212949) ^ [_237281, _237283, _237285, _237287] : [641 ^ _212949 : [(642 ^ _212949) ^ [] : [-(leq(n0, 639 ^ [_237281, _237283, _237285, _237287]))], (644 ^ _212949) ^ [] : [-(leq(639 ^ [_237281, _237283, _237285, _237287], _237281))], (646 ^ _212949) ^ [] : [-(leq(n0, 640 ^ [_237281, _237283, _237285, _237287]))], (648 ^ _212949) ^ [] : [-(leq(640 ^ [_237281, _237283, _237285, _237287], _237281))], (650 ^ _212949) ^ [] : [a_select3(_237285, 639 ^ [_237281, _237283, _237285, _237287], 640 ^ [_237281, _237283, _237285, _237287]) = a_select3(_237285, 640 ^ [_237281, _237283, _237285, _237287], 639 ^ [_237281, _237283, _237285, _237287])]], 651 ^ _212949 : [(652 ^ _212949) ^ [_238138, _238140] : [-(a_select3(tptp_mmul(_237287, tptp_mmul(_237285, trans(_237287))), _238140, _238138) = a_select3(tptp_mmul(_237287, tptp_mmul(_237285, trans(_237287))), _238138, _238140)), leq(n0, _238140), leq(_238140, _237283), leq(n0, _238138), leq(_238138, _237283)]]], (670 ^ _212949) ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847] : [675 ^ _212949 : [(676 ^ _212949) ^ [] : [-(leq(n0, 673 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (678 ^ _212949) ^ [] : [-(leq(673 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238833))], (680 ^ _212949) ^ [] : [-(leq(n0, 674 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (682 ^ _212949) ^ [] : [-(leq(674 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238833))], (684 ^ _212949) ^ [] : [a_select3(_238841, 673 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 674 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]) = a_select3(_238841, 674 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 673 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847])]], 689 ^ _212949 : [(690 ^ _212949) ^ [] : [-(leq(n0, 687 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (692 ^ _212949) ^ [] : [-(leq(687 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238835))], (694 ^ _212949) ^ [] : [-(leq(n0, 688 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (696 ^ _212949) ^ [] : [-(leq(688 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238835))], (698 ^ _212949) ^ [] : [a_select3(_238847, 687 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 688 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]) = a_select3(_238847, 688 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 687 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847])]], 701 ^ _212949 : [(702 ^ _212949) ^ [] : [-(leq(n0, 699 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (704 ^ _212949) ^ [] : [-(leq(699 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238835))], (706 ^ _212949) ^ [] : [-(leq(n0, 700 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]))], (708 ^ _212949) ^ [] : [-(leq(700 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], _238835))], (710 ^ _212949) ^ [] : [a_select3(_238837, 699 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 700 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847]) = a_select3(_238837, 700 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847], 699 ^ [_238833, _238835, _238837, _238839, _238841, _238843, _238845, _238847])]], 711 ^ _212949 : [(712 ^ _212949) ^ [_241761, _241763] : [-(a_select3(tptp_madd(_238847, tptp_mmul(_238845, tptp_mmul(tptp_madd(tptp_mmul(_238843, tptp_mmul(_238841, trans(_238843))), tptp_mmul(_238839, tptp_mmul(_238837, trans(_238839)))), trans(_238845)))), _241763, _241761) = a_select3(tptp_madd(_238847, tptp_mmul(_238845, tptp_mmul(tptp_madd(tptp_mmul(_238843, tptp_mmul(_238841, trans(_238843))), tptp_mmul(_238839, tptp_mmul(_238837, trans(_238839)))), trans(_238845)))), _241761, _241763)), leq(n0, _241763), leq(_241763, _238835), leq(n0, _241761), leq(_241761, _238835)]]], (730 ^ _212949) ^ [_242514] : [-(sum(n0, tptp_minus_1, _242514) = n0)], (732 ^ _212949) ^ [_242596] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242596))], (734 ^ _212949) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _212949) ^ [_242731] : [-(plus(_242731, n1) = succ(_242731))], (738 ^ _212949) ^ [_242814] : [-(plus(n1, _242814) = succ(_242814))], (740 ^ _212949) ^ [_242897] : [-(plus(_242897, n2) = succ(succ(_242897)))], (742 ^ _212949) ^ [_242982] : [-(plus(n2, _242982) = succ(succ(_242982)))], (744 ^ _212949) ^ [_243067] : [-(plus(_243067, n3) = succ(succ(succ(_243067))))], (746 ^ _212949) ^ [_243154] : [-(plus(n3, _243154) = succ(succ(succ(_243154))))], (748 ^ _212949) ^ [_243241] : [-(plus(_243241, n4) = succ(succ(succ(succ(_243241)))))], (750 ^ _212949) ^ [_243330] : [-(plus(n4, _243330) = succ(succ(succ(succ(_243330)))))], (752 ^ _212949) ^ [_243419] : [-(plus(_243419, n5) = succ(succ(succ(succ(succ(_243419))))))], (754 ^ _212949) ^ [_243510] : [-(plus(n5, _243510) = succ(succ(succ(succ(succ(_243510))))))], (756 ^ _212949) ^ [_243601] : [-(minus(_243601, n1) = pred(_243601))], (758 ^ _212949) ^ [_243684] : [-(pred(succ(_243684)) = _243684)], (760 ^ _212949) ^ [_243766] : [-(succ(pred(_243766)) = _243766)], (762 ^ _212949) ^ [_243906, _243908] : [leq(succ(_243908), succ(_243906)), -(leq(_243908, _243906))], (768 ^ _212949) ^ [_244076, _244078] : [leq(_244078, _244076), -(leq(succ(_244078), succ(_244076)))], (774 ^ _212949) ^ [_244296, _244298] : [leq(succ(_244298), _244296), -(gt(_244296, _244298))], (780 ^ _212949) ^ [_244510, _244512] : [leq(minus(_244512, _244510), _244512), -(leq(n0, _244510))], (786 ^ _212949) ^ [_244739, _244741, _244743, _244745] : [-(a_select3(tptp_update3(_244745, _244743, _244741, _244739), _244743, _244741) = _244739)], (788 ^ _212949) ^ [_244931, _244933, _244935, _244937, _244939, _244941, _244943] : [-(a_select3(tptp_update3(_244935, _244943, _244941, _244931), _244939, _244937) = _244933), -(_244943 = _244939), _244941 = _244937, a_select3(_244935, _244939, _244937) = _244933], (802 ^ _212949) ^ [_245474, _245476, _245478, _245480, _245482, _245484] : [-(a_select3(tptp_update3(_245476, _245480, _245478, _245474), _245484, _245482) = _245474), 807 ^ _212949 : [(808 ^ _212949) ^ [] : [-(leq(n0, 805 ^ [_245474, _245476, _245478, _245480, _245482, _245484]))], (810 ^ _212949) ^ [] : [-(leq(n0, 806 ^ [_245474, _245476, _245478, _245480, _245482, _245484]))], (812 ^ _212949) ^ [] : [-(leq(805 ^ [_245474, _245476, _245478, _245480, _245482, _245484], _245480))], (814 ^ _212949) ^ [] : [-(leq(806 ^ [_245474, _245476, _245478, _245480, _245482, _245484], _245478))], (816 ^ _212949) ^ [] : [a_select3(_245476, 805 ^ [_245474, _245476, _245478, _245480, _245482, _245484], 806 ^ [_245474, _245476, _245478, _245480, _245482, _245484]) = _245474]], leq(n0, _245484), leq(_245484, _245480), leq(n0, _245482), leq(_245482, _245478)], (834 ^ _212949) ^ [_246816, _246818, _246820] : [-(a_select2(tptp_update2(_246820, _246818, _246816), _246818) = _246816)], (836 ^ _212949) ^ [_246976, _246978, _246980, _246982, _246984] : [-(a_select2(tptp_update2(_246980, _246984, _246976), _246982) = _246978), -(_246984 = _246982), a_select2(_246980, _246982) = _246978], (865 ^ _212949) ^ [] : [-(true)], (867 ^ _212949) ^ [] : [def = use], (846 ^ _212949) ^ [_247356, _247358, _247360, _247362] : [-(a_select2(tptp_update2(_247358, _247360, _247356), _247362) = _247356), 850 ^ _212949 : [(851 ^ _212949) ^ [] : [-(leq(n0, 849 ^ [_247356, _247358, _247360, _247362]))], (853 ^ _212949) ^ [] : [-(leq(849 ^ [_247356, _247358, _247360, _247362], _247360))], (855 ^ _212949) ^ [] : [a_select2(_247358, 849 ^ [_247356, _247358, _247360, _247362]) = _247356]], leq(n0, _247362), leq(_247362, _247360)]], input).
% 0.22/1.33  ncf('1',plain,[init = init, a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init, leq(n0, pv9), leq(pv9, minus(n410, n1)), 1137 : a_select3(simplex7_init, 1131 ^ [], 1126 ^ []) = init, 1144 : a_select2(s_values7_init, 1138 ^ []) = init],start(1109 ^ 0)).
% 0.22/1.33  ncf('1.1',plain,[-(init = init)],extension(1071 ^ 1)).
% 0.22/1.33  ncf('1.2',plain,[-(a_select3(tptp_const_array2(dim(n0, minus(n410, n1)), dim(n0, minus(n330, n1)), init), pv9, pv10) = init), leq(n0, pv9), leq(pv9, minus(n410, n1)), leq(n0, pv10), leq(pv10, minus(n330, n1))],extension(392 ^ 1,bind([[_226824, _226826, _226828, _226830, _226832, _226834, _226836], [init, minus(n330, n1), n0, pv10, minus(n410, n1), n0, pv9]]))).
% 0.22/1.33  ncf('1.2.1',plain,[-(leq(n0, pv9))],extension(1073 ^ 2)).
% 0.22/1.33  ncf('1.2.2',plain,[-(leq(pv9, minus(n410, n1)))],extension(1077 ^ 2)).
% 0.22/1.33  ncf('1.2.3',plain,[-(leq(n0, pv10))],extension(1075 ^ 2)).
% 0.22/1.33  ncf('1.2.4',plain,[-(leq(pv10, minus(n330, n1)))],extension(1079 ^ 2)).
% 0.22/1.33  ncf('1.3',plain,[-(leq(n0, pv9))],extension(1073 ^ 1)).
% 0.22/1.33  ncf('1.4',plain,[-(leq(pv9, minus(n410, n1)))],extension(1077 ^ 1)).
% 0.22/1.33  ncf('1.5',plain,[-(a_select3(simplex7_init, 1131 ^ [], 1126 ^ []) = init), 1089 : leq(n0, 1131 ^ []), 1089 : leq(1131 ^ [], n3), 1089 : leq(n0, 1126 ^ []), 1089 : leq(1126 ^ [], n2)],extension(1081 ^ 3,bind([[_253986, _254214], [1126 ^ [], 1131 ^ []]]))).
% 0.22/1.33  ncf('1.5.1',plain,[-(leq(n0, 1131 ^ []))],extension(1133 ^ 6)).
% 0.22/1.33  ncf('1.5.2',plain,[-(leq(1131 ^ [], n3))],extension(1135 ^ 6)).
% 0.22/1.33  ncf('1.5.3',plain,[-(leq(n0, 1126 ^ []))],extension(1128 ^ 4)).
% 0.22/1.33  ncf('1.5.4',plain,[-(leq(1126 ^ [], n2))],extension(1130 ^ 4)).
% 0.22/1.33  ncf('1.6',plain,[-(a_select2(s_values7_init, 1138 ^ []) = init), leq(n0, 1138 ^ []), leq(1138 ^ [], n3)],extension(1099 ^ 3,bind([[_254496], [1138 ^ []]]))).
% 0.22/1.33  ncf('1.6.1',plain,[-(leq(n0, 1138 ^ []))],extension(1140 ^ 4)).
% 0.22/1.33  ncf('1.6.2',plain,[-(leq(1138 ^ [], n3))],extension(1142 ^ 4)).
% 0.22/1.33  %-----------------------------------------------------
% 0.22/1.33  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------