%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV229+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 12:20:13 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV229+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:35:52 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(1041 ^ _221818) ^ [_261749, _261751] : [-(a_select3(q_ds1_filter, _261751, _261749) = a_select3(q_ds1_filter, _261749, _261751)), leq(n0, _261751), leq(n0, _261749), leq(_261751, n5), leq(_261749, n5)], (1059 ^ _221818) ^ [_262222, _262224] : [-(a_select3(r_ds1_filter, _262224, _262222) = a_select3(r_ds1_filter, _262222, _262224)), leq(n0, _262224), leq(n0, _262222), leq(_262224, n2), leq(_262222, n2)], (1079 ^ _221818) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _221818) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _221818) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _221818) ^ [] : [-(leq(1077 ^ [], n5))], (1269 ^ _221818) ^ [] : [a_select2(xinit_noise, n1) = n0], (1087 ^ _221818) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1093 ^ _221818) ^ [] : [n0 = 1077 ^ [], n2 = 1076 ^ []], (1099 ^ _221818) ^ [] : [n0 = 1077 ^ [], n3 = 1076 ^ []], (1105 ^ _221818) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1111 ^ _221818) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1117 ^ _221818) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1123 ^ _221818) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1129 ^ _221818) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1135 ^ _221818) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1141 ^ _221818) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1147 ^ _221818) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1153 ^ _221818) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1159 ^ _221818) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1165 ^ _221818) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1171 ^ _221818) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1177 ^ _221818) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1183 ^ _221818) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1189 ^ _221818) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1195 ^ _221818) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1201 ^ _221818) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1207 ^ _221818) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1213 ^ _221818) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1219 ^ _221818) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1225 ^ _221818) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1231 ^ _221818) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1237 ^ _221818) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1243 ^ _221818) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1249 ^ _221818) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1261 ^ _221818) ^ [] : [-(n1 = 1076 ^ [])], (1263 ^ _221818) ^ [] : [-(n1 = 1077 ^ [])], (1265 ^ _221818) ^ [] : [-(n4 = 1077 ^ [])], (1267 ^ _221818) ^ [] : [-(n5 = 1076 ^ [])], (1255 ^ _221818) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _221818) ^ [_221962] : [-(_221962 = _221962)], (4 ^ _221818) ^ [_222069, _222071] : [_222071 = _222069, -(_222069 = _222071)], (10 ^ _221818) ^ [_222273, _222275, _222277] : [-(_222277 = _222273), _222277 = _222275, _222275 = _222273], (20 ^ _221818) ^ [_222614, _222616, _222618, _222620] : [-(lt(_222618, _222614)), lt(_222620, _222616), _222620 = _222618, _222616 = _222614], (34 ^ _221818) ^ [_223058, _223060, _223062, _223064] : [-(geq(_223062, _223058)), geq(_223064, _223060), _223064 = _223062, _223060 = _223058], (48 ^ _221818) ^ [_223502, _223504, _223506, _223508] : [-(gt(_223506, _223502)), gt(_223508, _223504), _223508 = _223506, _223504 = _223502], (62 ^ _221818) ^ [_223926, _223928, _223930, _223932] : [-(leq(_223930, _223926)), leq(_223932, _223928), _223932 = _223930, _223928 = _223926], (76 ^ _221818) ^ [_224382, _224384, _224386, _224388] : [-(uniform_int_rnd(_224388, _224384) = uniform_int_rnd(_224386, _224382)), _224388 = _224386, _224384 = _224382], (86 ^ _221818) ^ [_224741, _224743, _224745, _224747] : [-(tptp_const_array1(_224747, _224743) = tptp_const_array1(_224745, _224741)), _224747 = _224745, _224743 = _224741], (96 ^ _221818) ^ [_225128, _225130, _225132, _225134, _225136, _225138] : [-(tptp_const_array2(_225138, _225134, _225130) = tptp_const_array2(_225136, _225132, _225128)), _225138 = _225136, _225134 = _225132, _225130 = _225128], (110 ^ _221818) ^ [_225616, _225618, _225620, _225622] : [-(dim(_225622, _225618) = dim(_225620, _225616)), _225622 = _225620, _225618 = _225616], (120 ^ _221818) ^ [_225947, _225949] : [_225949 = _225947, -(inv(_225949) = inv(_225947))], (126 ^ _221818) ^ [_226193, _226195, _226197, _226199] : [-(tptp_msub(_226199, _226195) = tptp_msub(_226197, _226193)), _226199 = _226197, _226195 = _226193], (136 ^ _221818) ^ [_226552, _226554, _226556, _226558] : [-(tptp_madd(_226558, _226554) = tptp_madd(_226556, _226552)), _226558 = _226556, _226554 = _226552], (146 ^ _221818) ^ [_226911, _226913, _226915, _226917] : [-(tptp_mmul(_226917, _226913) = tptp_mmul(_226915, _226911)), _226917 = _226915, _226913 = _226911], (156 ^ _221818) ^ [_227242, _227244] : [_227244 = _227242, -(trans(_227244) = trans(_227242))], (162 ^ _221818) ^ [_227516, _227518, _227520, _227522, _227524, _227526] : [-(sum(_227526, _227522, _227518) = sum(_227524, _227520, _227516)), _227526 = _227524, _227522 = _227520, _227518 = _227516], (176 ^ _221818) ^ [_228004, _228006, _228008, _228010] : [-(plus(_228010, _228006) = plus(_228008, _228004)), _228010 = _228008, _228006 = _228004], (186 ^ _221818) ^ [_228335, _228337] : [_228337 = _228335, -(pred(_228337) = pred(_228335))], (192 ^ _221818) ^ [_228581, _228583, _228585, _228587] : [-(minus(_228587, _228583) = minus(_228585, _228581)), _228587 = _228585, _228583 = _228581], (202 ^ _221818) ^ [_228996, _228998, _229000, _229002, _229004, _229006, _229008, _229010] : [-(tptp_update3(_229010, _229006, _229002, _228998) = tptp_update3(_229008, _229004, _229000, _228996)), _229010 = _229008, _229006 = _229004, _229002 = _229000, _228998 = _228996], (220 ^ _221818) ^ [_229657, _229659, _229661, _229663, _229665, _229667] : [-(tptp_update2(_229667, _229663, _229659) = tptp_update2(_229665, _229661, _229657)), _229667 = _229665, _229663 = _229661, _229659 = _229657], (234 ^ _221818) ^ [_230117, _230119] : [_230119 = _230117, -(succ(_230119) = succ(_230117))], (254 ^ _221818) ^ [_230859, _230861, _230863, _230865] : [-(a_select2(_230865, _230861) = a_select2(_230863, _230859)), _230865 = _230863, _230861 = _230859], (240 ^ _221818) ^ [_230391, _230393, _230395, _230397, _230399, _230401] : [-(a_select3(_230401, _230397, _230393) = a_select3(_230399, _230395, _230391)), _230401 = _230399, _230397 = _230395, _230393 = _230391], (869 ^ _221818) ^ [] : [-(gt(n5, n4))], (871 ^ _221818) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _221818) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _221818) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _221818) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _221818) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _221818) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _221818) ^ [] : [-(gt(n4, n0))], (885 ^ _221818) ^ [] : [-(gt(n5, n0))], (887 ^ _221818) ^ [] : [-(gt(n1, n0))], (889 ^ _221818) ^ [] : [-(gt(n2, n0))], (891 ^ _221818) ^ [] : [-(gt(n3, n0))], (893 ^ _221818) ^ [] : [-(gt(n4, n1))], (895 ^ _221818) ^ [] : [-(gt(n5, n1))], (897 ^ _221818) ^ [] : [-(gt(n2, n1))], (899 ^ _221818) ^ [] : [-(gt(n3, n1))], (901 ^ _221818) ^ [] : [-(gt(n4, n2))], (903 ^ _221818) ^ [] : [-(gt(n5, n2))], (905 ^ _221818) ^ [] : [-(gt(n3, n2))], (907 ^ _221818) ^ [] : [-(gt(n4, n3))], (909 ^ _221818) ^ [] : [-(gt(n5, n3))], (911 ^ _221818) ^ [_258328] : [leq(n0, _258328), leq(_258328, n4), -(_258328 = n0), -(_258328 = n1), -(_258328 = n2), -(_258328 = n3), -(_258328 = n4)], (937 ^ _221818) ^ [_258949] : [leq(n0, _258949), leq(_258949, n5), -(_258949 = n0), -(_258949 = n1), -(_258949 = n2), -(_258949 = n3), -(_258949 = n4), -(_258949 = n5)], (967 ^ _221818) ^ [_259656] : [-(_259656 = n0), leq(n0, _259656), leq(_259656, n0)], (977 ^ _221818) ^ [_259931] : [leq(n0, _259931), leq(_259931, n1), -(_259931 = n0), -(_259931 = n1)], (991 ^ _221818) ^ [_260294] : [leq(n0, _260294), leq(_260294, n2), -(_260294 = n0), -(_260294 = n1), -(_260294 = n2)], (1031 ^ _221818) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _221818) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _221818) ^ [] : [-(succ(n0) = n1)], (1037 ^ _221818) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _221818) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _221818) ^ [_260743] : [leq(n0, _260743), leq(_260743, n3), -(_260743 = n0), -(_260743 = n1), -(_260743 = n2), -(_260743 = n3)], (264 ^ _221818) ^ [_231290, _231292] : [-(gt(_231292, _231290)), -(gt(_231290, _231292)), -(_231292 = _231290)], (274 ^ _221818) ^ [_231605, _231607, _231609] : [-(gt(_231609, _231605)), gt(_231609, _231607), gt(_231607, _231605)], (284 ^ _221818) ^ [_231884] : [gt(_231884, _231884)], (286 ^ _221818) ^ [_231962] : [-(leq(_231962, _231962))], (288 ^ _221818) ^ [_232083, _232085, _232087] : [-(leq(_232087, _232083)), leq(_232087, _232085), leq(_232085, _232083)], (298 ^ _221818) ^ [_232421, _232423] : [lt(_232423, _232421), -(gt(_232421, _232423))], (304 ^ _221818) ^ [_232583, _232585] : [gt(_232583, _232585), -(lt(_232585, _232583))], (310 ^ _221818) ^ [_232824, _232826] : [geq(_232826, _232824), -(leq(_232824, _232826))], (316 ^ _221818) ^ [_232986, _232988] : [leq(_232986, _232988), -(geq(_232988, _232986))], (322 ^ _221818) ^ [_233198, _233200] : [gt(_233198, _233200), -(leq(_233200, _233198))], (328 ^ _221818) ^ [_233408, _233410] : [-(gt(_233408, _233410)), leq(_233410, _233408), -(_233410 = _233408)], (338 ^ _221818) ^ [_233739, _233741] : [leq(_233741, pred(_233739)), -(gt(_233739, _233741))], (344 ^ _221818) ^ [_233905, _233907] : [gt(_233905, _233907), -(leq(_233907, pred(_233905)))], (350 ^ _221818) ^ [_234092] : [-(gt(succ(_234092), _234092))], (352 ^ _221818) ^ [_234201, _234203] : [leq(_234203, _234201), -(leq(_234203, succ(_234201)))], (358 ^ _221818) ^ [_234444, _234446] : [leq(_234446, _234444), -(gt(succ(_234444), _234446))], (364 ^ _221818) ^ [_234610, _234612] : [gt(succ(_234610), _234612), -(leq(_234612, _234610))], (370 ^ _221818) ^ [_234826, _234828] : [leq(n0, _234828), -(leq(uniform_int_rnd(_234826, _234828), _234828))], (376 ^ _221818) ^ [_235042, _235044] : [leq(n0, _235044), -(leq(n0, uniform_int_rnd(_235042, _235044)))], (382 ^ _221818) ^ [_235286, _235288, _235290, _235292] : [-(a_select2(tptp_const_array1(dim(_235290, _235288), _235286), _235292) = _235286), leq(_235290, _235292), leq(_235292, _235288)], (392 ^ _221818) ^ [_235693, _235695, _235697, _235699, _235701, _235703, _235705] : [-(a_select3(tptp_const_array2(dim(_235703, _235701), dim(_235697, _235695), _235693), _235705, _235699) = _235693), leq(_235703, _235705), leq(_235705, _235701), leq(_235697, _235699), leq(_235699, _235695)], (410 ^ _221818) ^ [_236288, _236290] : [413 ^ _221818 : [(414 ^ _221818) ^ [] : [-(leq(n0, 411 ^ [_236288, _236290]))], (416 ^ _221818) ^ [] : [-(leq(411 ^ [_236288, _236290], _236288))], (418 ^ _221818) ^ [] : [-(leq(n0, 412 ^ [_236288, _236290]))], (420 ^ _221818) ^ [] : [-(leq(412 ^ [_236288, _236290], _236288))], (422 ^ _221818) ^ [] : [a_select3(_236290, 411 ^ [_236288, _236290], 412 ^ [_236288, _236290]) = a_select3(_236290, 412 ^ [_236288, _236290], 411 ^ [_236288, _236290])]], 423 ^ _221818 : [(424 ^ _221818) ^ [_237045, _237047] : [-(a_select3(trans(_236290), _237047, _237045) = a_select3(trans(_236290), _237045, _237047)), leq(n0, _237047), leq(_237047, _236288), leq(n0, _237045), leq(_237045, _236288)]]], (442 ^ _221818) ^ [_237592, _237594] : [445 ^ _221818 : [(446 ^ _221818) ^ [] : [-(leq(n0, 443 ^ [_237592, _237594]))], (448 ^ _221818) ^ [] : [-(leq(443 ^ [_237592, _237594], _237592))], (450 ^ _221818) ^ [] : [-(leq(n0, 444 ^ [_237592, _237594]))], (452 ^ _221818) ^ [] : [-(leq(444 ^ [_237592, _237594], _237592))], (454 ^ _221818) ^ [] : [a_select3(_237594, 443 ^ [_237592, _237594], 444 ^ [_237592, _237594]) = a_select3(_237594, 444 ^ [_237592, _237594], 443 ^ [_237592, _237594])]], 455 ^ _221818 : [(456 ^ _221818) ^ [_238349, _238351] : [-(a_select3(inv(_237594), _238351, _238349) = a_select3(inv(_237594), _238349, _238351)), leq(n0, _238351), leq(_238351, _237592), leq(n0, _238349), leq(_238349, _237592)]]], (474 ^ _221818) ^ [_238896, _238898] : [477 ^ _221818 : [(478 ^ _221818) ^ [] : [-(leq(n0, 475 ^ [_238896, _238898]))], (480 ^ _221818) ^ [] : [-(leq(475 ^ [_238896, _238898], _238896))], (482 ^ _221818) ^ [] : [-(leq(n0, 476 ^ [_238896, _238898]))], (484 ^ _221818) ^ [] : [-(leq(476 ^ [_238896, _238898], _238896))], (486 ^ _221818) ^ [] : [a_select3(_238898, 475 ^ [_238896, _238898], 476 ^ [_238896, _238898]) = a_select3(_238898, 476 ^ [_238896, _238898], 475 ^ [_238896, _238898])]], 487 ^ _221818 : [(488 ^ _221818) ^ [_239709, _239711, _239713, _239715] : [-(a_select3(tptp_update3(_238898, _239711, _239711, _239709), _239715, _239713) = a_select3(tptp_update3(_238898, _239711, _239711, _239709), _239713, _239715)), leq(n0, _239715), leq(_239715, _238896), leq(n0, _239713), leq(_239713, _238896), leq(n0, _239711), leq(_239711, _238896)]]], (514 ^ _221818) ^ [_240528, _240530, _240532] : [519 ^ _221818 : [(520 ^ _221818) ^ [] : [-(leq(n0, 517 ^ [_240528, _240530, _240532]))], (522 ^ _221818) ^ [] : [-(leq(517 ^ [_240528, _240530, _240532], _240528))], (524 ^ _221818) ^ [] : [-(leq(n0, 518 ^ [_240528, _240530, _240532]))], (526 ^ _221818) ^ [] : [-(leq(518 ^ [_240528, _240530, _240532], _240528))], (528 ^ _221818) ^ [] : [a_select3(_240532, 517 ^ [_240528, _240530, _240532], 518 ^ [_240528, _240530, _240532]) = a_select3(_240532, 518 ^ [_240528, _240530, _240532], 517 ^ [_240528, _240530, _240532])]], 531 ^ _221818 : [(532 ^ _221818) ^ [] : [-(leq(n0, 529 ^ [_240528, _240530, _240532]))], (534 ^ _221818) ^ [] : [-(leq(529 ^ [_240528, _240530, _240532], _240528))], (536 ^ _221818) ^ [] : [-(leq(n0, 530 ^ [_240528, _240530, _240532]))], (538 ^ _221818) ^ [] : [-(leq(530 ^ [_240528, _240530, _240532], _240528))], (540 ^ _221818) ^ [] : [a_select3(_240530, 529 ^ [_240528, _240530, _240532], 530 ^ [_240528, _240530, _240532]) = a_select3(_240530, 530 ^ [_240528, _240530, _240532], 529 ^ [_240528, _240530, _240532])]], 541 ^ _221818 : [(542 ^ _221818) ^ [_242037, _242039] : [-(a_select3(tptp_madd(_240532, _240530), _242039, _242037) = a_select3(tptp_madd(_240532, _240530), _242037, _242039)), leq(n0, _242039), leq(_242039, _240528), leq(n0, _242037), leq(_242037, _240528)]]], (560 ^ _221818) ^ [_242623, _242625, _242627] : [565 ^ _221818 : [(566 ^ _221818) ^ [] : [-(leq(n0, 563 ^ [_242623, _242625, _242627]))], (568 ^ _221818) ^ [] : [-(leq(563 ^ [_242623, _242625, _242627], _242623))], (570 ^ _221818) ^ [] : [-(leq(n0, 564 ^ [_242623, _242625, _242627]))], (572 ^ _221818) ^ [] : [-(leq(564 ^ [_242623, _242625, _242627], _242623))], (574 ^ _221818) ^ [] : [a_select3(_242627, 563 ^ [_242623, _242625, _242627], 564 ^ [_242623, _242625, _242627]) = a_select3(_242627, 564 ^ [_242623, _242625, _242627], 563 ^ [_242623, _242625, _242627])]], 577 ^ _221818 : [(578 ^ _221818) ^ [] : [-(leq(n0, 575 ^ [_242623, _242625, _242627]))], (580 ^ _221818) ^ [] : [-(leq(575 ^ [_242623, _242625, _242627], _242623))], (582 ^ _221818) ^ [] : [-(leq(n0, 576 ^ [_242623, _242625, _242627]))], (584 ^ _221818) ^ [] : [-(leq(576 ^ [_242623, _242625, _242627], _242623))], (586 ^ _221818) ^ [] : [a_select3(_242625, 575 ^ [_242623, _242625, _242627], 576 ^ [_242623, _242625, _242627]) = a_select3(_242625, 576 ^ [_242623, _242625, _242627], 575 ^ [_242623, _242625, _242627])]], 587 ^ _221818 : [(588 ^ _221818) ^ [_244132, _244134] : [-(a_select3(tptp_msub(_242627, _242625), _244134, _244132) = a_select3(tptp_msub(_242627, _242625), _244132, _244134)), leq(n0, _244134), leq(_244134, _242623), leq(n0, _244132), leq(_244132, _242623)]]], (606 ^ _221818) ^ [_244718, _244720, _244722] : [609 ^ _221818 : [(610 ^ _221818) ^ [] : [-(leq(n0, 607 ^ [_244718, _244720, _244722]))], (612 ^ _221818) ^ [] : [-(leq(607 ^ [_244718, _244720, _244722], _244718))], (614 ^ _221818) ^ [] : [-(leq(n0, 608 ^ [_244718, _244720, _244722]))], (616 ^ _221818) ^ [] : [-(leq(608 ^ [_244718, _244720, _244722], _244718))], (618 ^ _221818) ^ [] : [a_select3(_244720, 607 ^ [_244718, _244720, _244722], 608 ^ [_244718, _244720, _244722]) = a_select3(_244720, 608 ^ [_244718, _244720, _244722], 607 ^ [_244718, _244720, _244722])]], 619 ^ _221818 : [(620 ^ _221818) ^ [_245531, _245533] : [-(a_select3(tptp_mmul(_244722, tptp_mmul(_244720, trans(_244722))), _245533, _245531) = a_select3(tptp_mmul(_244722, tptp_mmul(_244720, trans(_244722))), _245531, _245533)), leq(n0, _245533), leq(_245533, _244718), leq(n0, _245531), leq(_245531, _244718)]]], (638 ^ _221818) ^ [_246150, _246152, _246154, _246156] : [641 ^ _221818 : [(642 ^ _221818) ^ [] : [-(leq(n0, 639 ^ [_246150, _246152, _246154, _246156]))], (644 ^ _221818) ^ [] : [-(leq(639 ^ [_246150, _246152, _246154, _246156], _246150))], (646 ^ _221818) ^ [] : [-(leq(n0, 640 ^ [_246150, _246152, _246154, _246156]))], (648 ^ _221818) ^ [] : [-(leq(640 ^ [_246150, _246152, _246154, _246156], _246150))], (650 ^ _221818) ^ [] : [a_select3(_246154, 639 ^ [_246150, _246152, _246154, _246156], 640 ^ [_246150, _246152, _246154, _246156]) = a_select3(_246154, 640 ^ [_246150, _246152, _246154, _246156], 639 ^ [_246150, _246152, _246154, _246156])]], 651 ^ _221818 : [(652 ^ _221818) ^ [_247007, _247009] : [-(a_select3(tptp_mmul(_246156, tptp_mmul(_246154, trans(_246156))), _247009, _247007) = a_select3(tptp_mmul(_246156, tptp_mmul(_246154, trans(_246156))), _247007, _247009)), leq(n0, _247009), leq(_247009, _246152), leq(n0, _247007), leq(_247007, _246152)]]], (670 ^ _221818) ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716] : [675 ^ _221818 : [(676 ^ _221818) ^ [] : [-(leq(n0, 673 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (678 ^ _221818) ^ [] : [-(leq(673 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247702))], (680 ^ _221818) ^ [] : [-(leq(n0, 674 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (682 ^ _221818) ^ [] : [-(leq(674 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247702))], (684 ^ _221818) ^ [] : [a_select3(_247710, 673 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 674 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]) = a_select3(_247710, 674 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 673 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716])]], 689 ^ _221818 : [(690 ^ _221818) ^ [] : [-(leq(n0, 687 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (692 ^ _221818) ^ [] : [-(leq(687 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247704))], (694 ^ _221818) ^ [] : [-(leq(n0, 688 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (696 ^ _221818) ^ [] : [-(leq(688 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247704))], (698 ^ _221818) ^ [] : [a_select3(_247716, 687 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 688 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]) = a_select3(_247716, 688 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 687 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716])]], 701 ^ _221818 : [(702 ^ _221818) ^ [] : [-(leq(n0, 699 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (704 ^ _221818) ^ [] : [-(leq(699 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247704))], (706 ^ _221818) ^ [] : [-(leq(n0, 700 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]))], (708 ^ _221818) ^ [] : [-(leq(700 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], _247704))], (710 ^ _221818) ^ [] : [a_select3(_247706, 699 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 700 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716]) = a_select3(_247706, 700 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716], 699 ^ [_247702, _247704, _247706, _247708, _247710, _247712, _247714, _247716])]], 711 ^ _221818 : [(712 ^ _221818) ^ [_250630, _250632] : [-(a_select3(tptp_madd(_247716, tptp_mmul(_247714, tptp_mmul(tptp_madd(tptp_mmul(_247712, tptp_mmul(_247710, trans(_247712))), tptp_mmul(_247708, tptp_mmul(_247706, trans(_247708)))), trans(_247714)))), _250632, _250630) = a_select3(tptp_madd(_247716, tptp_mmul(_247714, tptp_mmul(tptp_madd(tptp_mmul(_247712, tptp_mmul(_247710, trans(_247712))), tptp_mmul(_247708, tptp_mmul(_247706, trans(_247708)))), trans(_247714)))), _250630, _250632)), leq(n0, _250632), leq(_250632, _247704), leq(n0, _250630), leq(_250630, _247704)]]], (730 ^ _221818) ^ [_251383] : [-(sum(n0, tptp_minus_1, _251383) = n0)], (732 ^ _221818) ^ [_251465] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _251465))], (734 ^ _221818) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _221818) ^ [_251600] : [-(plus(_251600, n1) = succ(_251600))], (738 ^ _221818) ^ [_251683] : [-(plus(n1, _251683) = succ(_251683))], (740 ^ _221818) ^ [_251766] : [-(plus(_251766, n2) = succ(succ(_251766)))], (742 ^ _221818) ^ [_251851] : [-(plus(n2, _251851) = succ(succ(_251851)))], (744 ^ _221818) ^ [_251936] : [-(plus(_251936, n3) = succ(succ(succ(_251936))))], (746 ^ _221818) ^ [_252023] : [-(plus(n3, _252023) = succ(succ(succ(_252023))))], (748 ^ _221818) ^ [_252110] : [-(plus(_252110, n4) = succ(succ(succ(succ(_252110)))))], (750 ^ _221818) ^ [_252199] : [-(plus(n4, _252199) = succ(succ(succ(succ(_252199)))))], (752 ^ _221818) ^ [_252288] : [-(plus(_252288, n5) = succ(succ(succ(succ(succ(_252288))))))], (754 ^ _221818) ^ [_252379] : [-(plus(n5, _252379) = succ(succ(succ(succ(succ(_252379))))))], (756 ^ _221818) ^ [_252470] : [-(minus(_252470, n1) = pred(_252470))], (758 ^ _221818) ^ [_252553] : [-(pred(succ(_252553)) = _252553)], (760 ^ _221818) ^ [_252635] : [-(succ(pred(_252635)) = _252635)], (762 ^ _221818) ^ [_252775, _252777] : [leq(succ(_252777), succ(_252775)), -(leq(_252777, _252775))], (768 ^ _221818) ^ [_252945, _252947] : [leq(_252947, _252945), -(leq(succ(_252947), succ(_252945)))], (774 ^ _221818) ^ [_253165, _253167] : [leq(succ(_253167), _253165), -(gt(_253165, _253167))], (780 ^ _221818) ^ [_253379, _253381] : [leq(minus(_253381, _253379), _253381), -(leq(n0, _253379))], (786 ^ _221818) ^ [_253608, _253610, _253612, _253614] : [-(a_select3(tptp_update3(_253614, _253612, _253610, _253608), _253612, _253610) = _253608)], (788 ^ _221818) ^ [_253800, _253802, _253804, _253806, _253808, _253810, _253812] : [-(a_select3(tptp_update3(_253804, _253812, _253810, _253800), _253808, _253806) = _253802), -(_253812 = _253808), _253810 = _253806, a_select3(_253804, _253808, _253806) = _253802], (802 ^ _221818) ^ [_254343, _254345, _254347, _254349, _254351, _254353] : [-(a_select3(tptp_update3(_254345, _254349, _254347, _254343), _254353, _254351) = _254343), 807 ^ _221818 : [(808 ^ _221818) ^ [] : [-(leq(n0, 805 ^ [_254343, _254345, _254347, _254349, _254351, _254353]))], (810 ^ _221818) ^ [] : [-(leq(n0, 806 ^ [_254343, _254345, _254347, _254349, _254351, _254353]))], (812 ^ _221818) ^ [] : [-(leq(805 ^ [_254343, _254345, _254347, _254349, _254351, _254353], _254349))], (814 ^ _221818) ^ [] : [-(leq(806 ^ [_254343, _254345, _254347, _254349, _254351, _254353], _254347))], (816 ^ _221818) ^ [] : [a_select3(_254345, 805 ^ [_254343, _254345, _254347, _254349, _254351, _254353], 806 ^ [_254343, _254345, _254347, _254349, _254351, _254353]) = _254343]], leq(n0, _254353), leq(_254353, _254349), leq(n0, _254351), leq(_254351, _254347)], (834 ^ _221818) ^ [_255685, _255687, _255689] : [-(a_select2(tptp_update2(_255689, _255687, _255685), _255687) = _255685)], (836 ^ _221818) ^ [_255845, _255847, _255849, _255851, _255853] : [-(a_select2(tptp_update2(_255849, _255853, _255845), _255851) = _255847), -(_255853 = _255851), a_select2(_255849, _255851) = _255847], (865 ^ _221818) ^ [] : [-(true)], (867 ^ _221818) ^ [] : [def = use], (846 ^ _221818) ^ [_256225, _256227, _256229, _256231] : [-(a_select2(tptp_update2(_256227, _256229, _256225), _256231) = _256225), 850 ^ _221818 : [(851 ^ _221818) ^ [] : [-(leq(n0, 849 ^ [_256225, _256227, _256229, _256231]))], (853 ^ _221818) ^ [] : [-(leq(849 ^ [_256225, _256227, _256229, _256231], _256229))], (855 ^ _221818) ^ [] : [a_select2(_256227, 849 ^ [_256225, _256227, _256229, _256231]) = _256225]], leq(n0, _256231), leq(_256231, _256229)]], input).
% 0.33/1.37  ncf('1',plain,[n1 = 1076 ^ [], n4 = 1077 ^ []],start(1129 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(n1 = 1076 ^ [])],extension(1261 ^ 1)).
% 0.33/1.37  ncf('1.2',plain,[-(n4 = 1077 ^ [])],extension(1265 ^ 1)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------