%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 0.66s 1.37s
% Output   : Proof 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.33  % Computer : n021.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri May 19 02:31:57 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.66/1.37  
% 0.66/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.66/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/1.37  %-----------------------------------------------------
% 0.66/1.37  ncf(matrix, plain, [(1155 ^ _218082) ^ [] : [-(leq(n0, 1152 ^ []))], (1157 ^ _218082) ^ [] : [-(leq(n0, 1153 ^ []))], (1159 ^ _218082) ^ [] : [-(leq(1152 ^ [], n2))], (1161 ^ _218082) ^ [] : [-(leq(1153 ^ [], pv5))], (1181 ^ _218082) ^ [] : [a_select3(z_defuse, 1152 ^ [], 1153 ^ []) = use], (1163 ^ _218082) ^ [] : [n0 = 1152 ^ [], pv5 = 1153 ^ []], (1169 ^ _218082) ^ [] : [n1 = 1152 ^ [], pv5 = 1153 ^ []], (1175 ^ _218082) ^ [] : [n2 = 1152 ^ [], pv5 = 1153 ^ []], (1055 ^ _218082) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _218082) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _218082) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _218082) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _218082) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _218082) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _218082) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _218082) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _218082) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _218082) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _218082) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _218082) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _218082) ^ [] : [-(leq(n0, pv5))], (1111 ^ _218082) ^ [] : [-(leq(pv5, n0))], (1113 ^ _218082) ^ [] : [-(leq(pv5, n998))], (1115 ^ _218082) ^ [] : [-(gt(pv5, n0))], (1117 ^ _218082) ^ [_260055, _260057] : [-(a_select3(u_defuse, _260057, _260055) = use), leq(n0, _260057), leq(n0, _260055), leq(_260057, n2), leq(_260055, pred(pv5))], (1135 ^ _218082) ^ [_260520, _260522] : [-(a_select3(z_defuse, _260522, _260520) = use), leq(n0, _260522), leq(n0, _260520), leq(_260522, n2), leq(_260520, pred(pv5))], (2 ^ _218082) ^ [_218226] : [-(_218226 = _218226)], (4 ^ _218082) ^ [_218333, _218335] : [_218335 = _218333, -(_218333 = _218335)], (10 ^ _218082) ^ [_218537, _218539, _218541] : [-(_218541 = _218537), _218541 = _218539, _218539 = _218537], (20 ^ _218082) ^ [_218878, _218880, _218882, _218884] : [-(lt(_218882, _218878)), lt(_218884, _218880), _218884 = _218882, _218880 = _218878], (34 ^ _218082) ^ [_219322, _219324, _219326, _219328] : [-(geq(_219326, _219322)), geq(_219328, _219324), _219328 = _219326, _219324 = _219322], (48 ^ _218082) ^ [_219766, _219768, _219770, _219772] : [-(gt(_219770, _219766)), gt(_219772, _219768), _219772 = _219770, _219768 = _219766], (62 ^ _218082) ^ [_220190, _220192, _220194, _220196] : [-(leq(_220194, _220190)), leq(_220196, _220192), _220196 = _220194, _220192 = _220190], (76 ^ _218082) ^ [_220646, _220648, _220650, _220652] : [-(uniform_int_rnd(_220652, _220648) = uniform_int_rnd(_220650, _220646)), _220652 = _220650, _220648 = _220646], (86 ^ _218082) ^ [_221005, _221007, _221009, _221011] : [-(tptp_const_array1(_221011, _221007) = tptp_const_array1(_221009, _221005)), _221011 = _221009, _221007 = _221005], (96 ^ _218082) ^ [_221392, _221394, _221396, _221398, _221400, _221402] : [-(tptp_const_array2(_221402, _221398, _221394) = tptp_const_array2(_221400, _221396, _221392)), _221402 = _221400, _221398 = _221396, _221394 = _221392], (110 ^ _218082) ^ [_221880, _221882, _221884, _221886] : [-(dim(_221886, _221882) = dim(_221884, _221880)), _221886 = _221884, _221882 = _221880], (120 ^ _218082) ^ [_222211, _222213] : [_222213 = _222211, -(inv(_222213) = inv(_222211))], (126 ^ _218082) ^ [_222457, _222459, _222461, _222463] : [-(tptp_msub(_222463, _222459) = tptp_msub(_222461, _222457)), _222463 = _222461, _222459 = _222457], (136 ^ _218082) ^ [_222816, _222818, _222820, _222822] : [-(tptp_madd(_222822, _222818) = tptp_madd(_222820, _222816)), _222822 = _222820, _222818 = _222816], (146 ^ _218082) ^ [_223175, _223177, _223179, _223181] : [-(tptp_mmul(_223181, _223177) = tptp_mmul(_223179, _223175)), _223181 = _223179, _223177 = _223175], (156 ^ _218082) ^ [_223506, _223508] : [_223508 = _223506, -(trans(_223508) = trans(_223506))], (162 ^ _218082) ^ [_223780, _223782, _223784, _223786, _223788, _223790] : [-(sum(_223790, _223786, _223782) = sum(_223788, _223784, _223780)), _223790 = _223788, _223786 = _223784, _223782 = _223780], (176 ^ _218082) ^ [_224268, _224270, _224272, _224274] : [-(plus(_224274, _224270) = plus(_224272, _224268)), _224274 = _224272, _224270 = _224268], (186 ^ _218082) ^ [_224627, _224629, _224631, _224633] : [-(minus(_224633, _224629) = minus(_224631, _224627)), _224633 = _224631, _224629 = _224627], (196 ^ _218082) ^ [_225042, _225044, _225046, _225048, _225050, _225052, _225054, _225056] : [-(tptp_update3(_225056, _225052, _225048, _225044) = tptp_update3(_225054, _225050, _225046, _225042)), _225056 = _225054, _225052 = _225050, _225048 = _225046, _225044 = _225042], (214 ^ _218082) ^ [_225703, _225705, _225707, _225709, _225711, _225713] : [-(tptp_update2(_225713, _225709, _225705) = tptp_update2(_225711, _225707, _225703)), _225713 = _225711, _225709 = _225707, _225705 = _225703], (228 ^ _218082) ^ [_226163, _226165] : [_226165 = _226163, -(succ(_226165) = succ(_226163))], (234 ^ _218082) ^ [_226409, _226411, _226413, _226415] : [-(a_select2(_226415, _226411) = a_select2(_226413, _226409)), _226415 = _226413, _226411 = _226409], (244 ^ _218082) ^ [_226740, _226742] : [_226742 = _226740, -(pred(_226742) = pred(_226740))], (250 ^ _218082) ^ [_226994, _226996, _226998, _227000, _227002, _227004] : [-(a_select3(_227004, _227000, _226996) = a_select3(_227002, _226998, _226994)), _227004 = _227002, _227000 = _226998, _226996 = _226994], (869 ^ _218082) ^ [] : [-(gt(n5, n4))], (871 ^ _218082) ^ [] : [-(gt(n998, n4))], (873 ^ _218082) ^ [] : [-(gt(n998, n5))], (875 ^ _218082) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _218082) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _218082) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _218082) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _218082) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _218082) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _218082) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _218082) ^ [] : [-(gt(n4, n0))], (891 ^ _218082) ^ [] : [-(gt(n5, n0))], (893 ^ _218082) ^ [] : [-(gt(n998, n0))], (895 ^ _218082) ^ [] : [-(gt(n1, n0))], (897 ^ _218082) ^ [] : [-(gt(n2, n0))], (899 ^ _218082) ^ [] : [-(gt(n3, n0))], (901 ^ _218082) ^ [] : [-(gt(n4, n1))], (903 ^ _218082) ^ [] : [-(gt(n5, n1))], (905 ^ _218082) ^ [] : [-(gt(n998, n1))], (907 ^ _218082) ^ [] : [-(gt(n2, n1))], (909 ^ _218082) ^ [] : [-(gt(n3, n1))], (911 ^ _218082) ^ [] : [-(gt(n4, n2))], (913 ^ _218082) ^ [] : [-(gt(n5, n2))], (915 ^ _218082) ^ [] : [-(gt(n998, n2))], (917 ^ _218082) ^ [] : [-(gt(n3, n2))], (919 ^ _218082) ^ [] : [-(gt(n4, n3))], (921 ^ _218082) ^ [] : [-(gt(n5, n3))], (923 ^ _218082) ^ [] : [-(gt(n998, n3))], (925 ^ _218082) ^ [_254963] : [leq(n0, _254963), leq(_254963, n4), -(_254963 = n0), -(_254963 = n1), -(_254963 = n2), -(_254963 = n3), -(_254963 = n4)], (951 ^ _218082) ^ [_255584] : [leq(n0, _255584), leq(_255584, n5), -(_255584 = n0), -(_255584 = n1), -(_255584 = n2), -(_255584 = n3), -(_255584 = n4), -(_255584 = n5)], (981 ^ _218082) ^ [_256291] : [-(_256291 = n0), leq(n0, _256291), leq(_256291, n0)], (991 ^ _218082) ^ [_256566] : [leq(n0, _256566), leq(_256566, n1), -(_256566 = n0), -(_256566 = n1)], (1005 ^ _218082) ^ [_256929] : [leq(n0, _256929), leq(_256929, n2), -(_256929 = n0), -(_256929 = n1), -(_256929 = n2)], (1045 ^ _218082) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _218082) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _218082) ^ [] : [-(succ(n0) = n1)], (1051 ^ _218082) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _218082) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _218082) ^ [_257378] : [leq(n0, _257378), leq(_257378, n3), -(_257378 = n0), -(_257378 = n1), -(_257378 = n2), -(_257378 = n3)], (264 ^ _218082) ^ [_227554, _227556] : [-(gt(_227556, _227554)), -(gt(_227554, _227556)), -(_227556 = _227554)], (274 ^ _218082) ^ [_227869, _227871, _227873] : [-(gt(_227873, _227869)), gt(_227873, _227871), gt(_227871, _227869)], (284 ^ _218082) ^ [_228148] : [gt(_228148, _228148)], (286 ^ _218082) ^ [_228226] : [-(leq(_228226, _228226))], (288 ^ _218082) ^ [_228347, _228349, _228351] : [-(leq(_228351, _228347)), leq(_228351, _228349), leq(_228349, _228347)], (298 ^ _218082) ^ [_228685, _228687] : [lt(_228687, _228685), -(gt(_228685, _228687))], (304 ^ _218082) ^ [_228847, _228849] : [gt(_228847, _228849), -(lt(_228849, _228847))], (310 ^ _218082) ^ [_229088, _229090] : [geq(_229090, _229088), -(leq(_229088, _229090))], (316 ^ _218082) ^ [_229250, _229252] : [leq(_229250, _229252), -(geq(_229252, _229250))], (322 ^ _218082) ^ [_229462, _229464] : [gt(_229462, _229464), -(leq(_229464, _229462))], (328 ^ _218082) ^ [_229672, _229674] : [-(gt(_229672, _229674)), leq(_229674, _229672), -(_229674 = _229672)], (338 ^ _218082) ^ [_230003, _230005] : [leq(_230005, pred(_230003)), -(gt(_230003, _230005))], (344 ^ _218082) ^ [_230169, _230171] : [gt(_230169, _230171), -(leq(_230171, pred(_230169)))], (350 ^ _218082) ^ [_230356] : [-(gt(succ(_230356), _230356))], (352 ^ _218082) ^ [_230465, _230467] : [leq(_230467, _230465), -(leq(_230467, succ(_230465)))], (358 ^ _218082) ^ [_230708, _230710] : [leq(_230710, _230708), -(gt(succ(_230708), _230710))], (364 ^ _218082) ^ [_230874, _230876] : [gt(succ(_230874), _230876), -(leq(_230876, _230874))], (370 ^ _218082) ^ [_231090, _231092] : [leq(n0, _231092), -(leq(uniform_int_rnd(_231090, _231092), _231092))], (376 ^ _218082) ^ [_231306, _231308] : [leq(n0, _231308), -(leq(n0, uniform_int_rnd(_231306, _231308)))], (382 ^ _218082) ^ [_231550, _231552, _231554, _231556] : [-(a_select2(tptp_const_array1(dim(_231554, _231552), _231550), _231556) = _231550), leq(_231554, _231556), leq(_231556, _231552)], (392 ^ _218082) ^ [_231957, _231959, _231961, _231963, _231965, _231967, _231969] : [-(a_select3(tptp_const_array2(dim(_231967, _231965), dim(_231961, _231959), _231957), _231969, _231963) = _231957), leq(_231967, _231969), leq(_231969, _231965), leq(_231961, _231963), leq(_231963, _231959)], (410 ^ _218082) ^ [_232552, _232554] : [413 ^ _218082 : [(414 ^ _218082) ^ [] : [-(leq(n0, 411 ^ [_232552, _232554]))], (416 ^ _218082) ^ [] : [-(leq(411 ^ [_232552, _232554], _232552))], (418 ^ _218082) ^ [] : [-(leq(n0, 412 ^ [_232552, _232554]))], (420 ^ _218082) ^ [] : [-(leq(412 ^ [_232552, _232554], _232552))], (422 ^ _218082) ^ [] : [a_select3(_232554, 411 ^ [_232552, _232554], 412 ^ [_232552, _232554]) = a_select3(_232554, 412 ^ [_232552, _232554], 411 ^ [_232552, _232554])]], 423 ^ _218082 : [(424 ^ _218082) ^ [_233309, _233311] : [-(a_select3(trans(_232554), _233311, _233309) = a_select3(trans(_232554), _233309, _233311)), leq(n0, _233311), leq(_233311, _232552), leq(n0, _233309), leq(_233309, _232552)]]], (442 ^ _218082) ^ [_233856, _233858] : [445 ^ _218082 : [(446 ^ _218082) ^ [] : [-(leq(n0, 443 ^ [_233856, _233858]))], (448 ^ _218082) ^ [] : [-(leq(443 ^ [_233856, _233858], _233856))], (450 ^ _218082) ^ [] : [-(leq(n0, 444 ^ [_233856, _233858]))], (452 ^ _218082) ^ [] : [-(leq(444 ^ [_233856, _233858], _233856))], (454 ^ _218082) ^ [] : [a_select3(_233858, 443 ^ [_233856, _233858], 444 ^ [_233856, _233858]) = a_select3(_233858, 444 ^ [_233856, _233858], 443 ^ [_233856, _233858])]], 455 ^ _218082 : [(456 ^ _218082) ^ [_234613, _234615] : [-(a_select3(inv(_233858), _234615, _234613) = a_select3(inv(_233858), _234613, _234615)), leq(n0, _234615), leq(_234615, _233856), leq(n0, _234613), leq(_234613, _233856)]]], (474 ^ _218082) ^ [_235160, _235162] : [477 ^ _218082 : [(478 ^ _218082) ^ [] : [-(leq(n0, 475 ^ [_235160, _235162]))], (480 ^ _218082) ^ [] : [-(leq(475 ^ [_235160, _235162], _235160))], (482 ^ _218082) ^ [] : [-(leq(n0, 476 ^ [_235160, _235162]))], (484 ^ _218082) ^ [] : [-(leq(476 ^ [_235160, _235162], _235160))], (486 ^ _218082) ^ [] : [a_select3(_235162, 475 ^ [_235160, _235162], 476 ^ [_235160, _235162]) = a_select3(_235162, 476 ^ [_235160, _235162], 475 ^ [_235160, _235162])]], 487 ^ _218082 : [(488 ^ _218082) ^ [_235973, _235975, _235977, _235979] : [-(a_select3(tptp_update3(_235162, _235975, _235975, _235973), _235979, _235977) = a_select3(tptp_update3(_235162, _235975, _235975, _235973), _235977, _235979)), leq(n0, _235979), leq(_235979, _235160), leq(n0, _235977), leq(_235977, _235160), leq(n0, _235975), leq(_235975, _235160)]]], (514 ^ _218082) ^ [_236792, _236794, _236796] : [519 ^ _218082 : [(520 ^ _218082) ^ [] : [-(leq(n0, 517 ^ [_236792, _236794, _236796]))], (522 ^ _218082) ^ [] : [-(leq(517 ^ [_236792, _236794, _236796], _236792))], (524 ^ _218082) ^ [] : [-(leq(n0, 518 ^ [_236792, _236794, _236796]))], (526 ^ _218082) ^ [] : [-(leq(518 ^ [_236792, _236794, _236796], _236792))], (528 ^ _218082) ^ [] : [a_select3(_236796, 517 ^ [_236792, _236794, _236796], 518 ^ [_236792, _236794, _236796]) = a_select3(_236796, 518 ^ [_236792, _236794, _236796], 517 ^ [_236792, _236794, _236796])]], 531 ^ _218082 : [(532 ^ _218082) ^ [] : [-(leq(n0, 529 ^ [_236792, _236794, _236796]))], (534 ^ _218082) ^ [] : [-(leq(529 ^ [_236792, _236794, _236796], _236792))], (536 ^ _218082) ^ [] : [-(leq(n0, 530 ^ [_236792, _236794, _236796]))], (538 ^ _218082) ^ [] : [-(leq(530 ^ [_236792, _236794, _236796], _236792))], (540 ^ _218082) ^ [] : [a_select3(_236794, 529 ^ [_236792, _236794, _236796], 530 ^ [_236792, _236794, _236796]) = a_select3(_236794, 530 ^ [_236792, _236794, _236796], 529 ^ [_236792, _236794, _236796])]], 541 ^ _218082 : [(542 ^ _218082) ^ [_238301, _238303] : [-(a_select3(tptp_madd(_236796, _236794), _238303, _238301) = a_select3(tptp_madd(_236796, _236794), _238301, _238303)), leq(n0, _238303), leq(_238303, _236792), leq(n0, _238301), leq(_238301, _236792)]]], (560 ^ _218082) ^ [_238887, _238889, _238891] : [565 ^ _218082 : [(566 ^ _218082) ^ [] : [-(leq(n0, 563 ^ [_238887, _238889, _238891]))], (568 ^ _218082) ^ [] : [-(leq(563 ^ [_238887, _238889, _238891], _238887))], (570 ^ _218082) ^ [] : [-(leq(n0, 564 ^ [_238887, _238889, _238891]))], (572 ^ _218082) ^ [] : [-(leq(564 ^ [_238887, _238889, _238891], _238887))], (574 ^ _218082) ^ [] : [a_select3(_238891, 563 ^ [_238887, _238889, _238891], 564 ^ [_238887, _238889, _238891]) = a_select3(_238891, 564 ^ [_238887, _238889, _238891], 563 ^ [_238887, _238889, _238891])]], 577 ^ _218082 : [(578 ^ _218082) ^ [] : [-(leq(n0, 575 ^ [_238887, _238889, _238891]))], (580 ^ _218082) ^ [] : [-(leq(575 ^ [_238887, _238889, _238891], _238887))], (582 ^ _218082) ^ [] : [-(leq(n0, 576 ^ [_238887, _238889, _238891]))], (584 ^ _218082) ^ [] : [-(leq(576 ^ [_238887, _238889, _238891], _238887))], (586 ^ _218082) ^ [] : [a_select3(_238889, 575 ^ [_238887, _238889, _238891], 576 ^ [_238887, _238889, _238891]) = a_select3(_238889, 576 ^ [_238887, _238889, _238891], 575 ^ [_238887, _238889, _238891])]], 587 ^ _218082 : [(588 ^ _218082) ^ [_240396, _240398] : [-(a_select3(tptp_msub(_238891, _238889), _240398, _240396) = a_select3(tptp_msub(_238891, _238889), _240396, _240398)), leq(n0, _240398), leq(_240398, _238887), leq(n0, _240396), leq(_240396, _238887)]]], (606 ^ _218082) ^ [_240982, _240984, _240986] : [609 ^ _218082 : [(610 ^ _218082) ^ [] : [-(leq(n0, 607 ^ [_240982, _240984, _240986]))], (612 ^ _218082) ^ [] : [-(leq(607 ^ [_240982, _240984, _240986], _240982))], (614 ^ _218082) ^ [] : [-(leq(n0, 608 ^ [_240982, _240984, _240986]))], (616 ^ _218082) ^ [] : [-(leq(608 ^ [_240982, _240984, _240986], _240982))], (618 ^ _218082) ^ [] : [a_select3(_240984, 607 ^ [_240982, _240984, _240986], 608 ^ [_240982, _240984, _240986]) = a_select3(_240984, 608 ^ [_240982, _240984, _240986], 607 ^ [_240982, _240984, _240986])]], 619 ^ _218082 : [(620 ^ _218082) ^ [_241795, _241797] : [-(a_select3(tptp_mmul(_240986, tptp_mmul(_240984, trans(_240986))), _241797, _241795) = a_select3(tptp_mmul(_240986, tptp_mmul(_240984, trans(_240986))), _241795, _241797)), leq(n0, _241797), leq(_241797, _240982), leq(n0, _241795), leq(_241795, _240982)]]], (638 ^ _218082) ^ [_242414, _242416, _242418, _242420] : [641 ^ _218082 : [(642 ^ _218082) ^ [] : [-(leq(n0, 639 ^ [_242414, _242416, _242418, _242420]))], (644 ^ _218082) ^ [] : [-(leq(639 ^ [_242414, _242416, _242418, _242420], _242414))], (646 ^ _218082) ^ [] : [-(leq(n0, 640 ^ [_242414, _242416, _242418, _242420]))], (648 ^ _218082) ^ [] : [-(leq(640 ^ [_242414, _242416, _242418, _242420], _242414))], (650 ^ _218082) ^ [] : [a_select3(_242418, 639 ^ [_242414, _242416, _242418, _242420], 640 ^ [_242414, _242416, _242418, _242420]) = a_select3(_242418, 640 ^ [_242414, _242416, _242418, _242420], 639 ^ [_242414, _242416, _242418, _242420])]], 651 ^ _218082 : [(652 ^ _218082) ^ [_243271, _243273] : [-(a_select3(tptp_mmul(_242420, tptp_mmul(_242418, trans(_242420))), _243273, _243271) = a_select3(tptp_mmul(_242420, tptp_mmul(_242418, trans(_242420))), _243271, _243273)), leq(n0, _243273), leq(_243273, _242416), leq(n0, _243271), leq(_243271, _242416)]]], (670 ^ _218082) ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980] : [675 ^ _218082 : [(676 ^ _218082) ^ [] : [-(leq(n0, 673 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (678 ^ _218082) ^ [] : [-(leq(673 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243966))], (680 ^ _218082) ^ [] : [-(leq(n0, 674 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (682 ^ _218082) ^ [] : [-(leq(674 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243966))], (684 ^ _218082) ^ [] : [a_select3(_243974, 673 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 674 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]) = a_select3(_243974, 674 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 673 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980])]], 689 ^ _218082 : [(690 ^ _218082) ^ [] : [-(leq(n0, 687 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (692 ^ _218082) ^ [] : [-(leq(687 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243968))], (694 ^ _218082) ^ [] : [-(leq(n0, 688 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (696 ^ _218082) ^ [] : [-(leq(688 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243968))], (698 ^ _218082) ^ [] : [a_select3(_243980, 687 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 688 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]) = a_select3(_243980, 688 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 687 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980])]], 701 ^ _218082 : [(702 ^ _218082) ^ [] : [-(leq(n0, 699 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (704 ^ _218082) ^ [] : [-(leq(699 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243968))], (706 ^ _218082) ^ [] : [-(leq(n0, 700 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]))], (708 ^ _218082) ^ [] : [-(leq(700 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], _243968))], (710 ^ _218082) ^ [] : [a_select3(_243970, 699 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 700 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980]) = a_select3(_243970, 700 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980], 699 ^ [_243966, _243968, _243970, _243972, _243974, _243976, _243978, _243980])]], 711 ^ _218082 : [(712 ^ _218082) ^ [_246894, _246896] : [-(a_select3(tptp_madd(_243980, tptp_mmul(_243978, tptp_mmul(tptp_madd(tptp_mmul(_243976, tptp_mmul(_243974, trans(_243976))), tptp_mmul(_243972, tptp_mmul(_243970, trans(_243972)))), trans(_243978)))), _246896, _246894) = a_select3(tptp_madd(_243980, tptp_mmul(_243978, tptp_mmul(tptp_madd(tptp_mmul(_243976, tptp_mmul(_243974, trans(_243976))), tptp_mmul(_243972, tptp_mmul(_243970, trans(_243972)))), trans(_243978)))), _246894, _246896)), leq(n0, _246896), leq(_246896, _243968), leq(n0, _246894), leq(_246894, _243968)]]], (730 ^ _218082) ^ [_247647] : [-(sum(n0, tptp_minus_1, _247647) = n0)], (732 ^ _218082) ^ [_247729] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _247729))], (734 ^ _218082) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _218082) ^ [_247864] : [-(plus(_247864, n1) = succ(_247864))], (738 ^ _218082) ^ [_247947] : [-(plus(n1, _247947) = succ(_247947))], (740 ^ _218082) ^ [_248030] : [-(plus(_248030, n2) = succ(succ(_248030)))], (742 ^ _218082) ^ [_248115] : [-(plus(n2, _248115) = succ(succ(_248115)))], (744 ^ _218082) ^ [_248200] : [-(plus(_248200, n3) = succ(succ(succ(_248200))))], (746 ^ _218082) ^ [_248287] : [-(plus(n3, _248287) = succ(succ(succ(_248287))))], (748 ^ _218082) ^ [_248374] : [-(plus(_248374, n4) = succ(succ(succ(succ(_248374)))))], (750 ^ _218082) ^ [_248463] : [-(plus(n4, _248463) = succ(succ(succ(succ(_248463)))))], (752 ^ _218082) ^ [_248552] : [-(plus(_248552, n5) = succ(succ(succ(succ(succ(_248552))))))], (754 ^ _218082) ^ [_248643] : [-(plus(n5, _248643) = succ(succ(succ(succ(succ(_248643))))))], (756 ^ _218082) ^ [_248734] : [-(minus(_248734, n1) = pred(_248734))], (758 ^ _218082) ^ [_248817] : [-(pred(succ(_248817)) = _248817)], (760 ^ _218082) ^ [_248899] : [-(succ(pred(_248899)) = _248899)], (762 ^ _218082) ^ [_249039, _249041] : [leq(succ(_249041), succ(_249039)), -(leq(_249041, _249039))], (768 ^ _218082) ^ [_249209, _249211] : [leq(_249211, _249209), -(leq(succ(_249211), succ(_249209)))], (774 ^ _218082) ^ [_249429, _249431] : [leq(succ(_249431), _249429), -(gt(_249429, _249431))], (780 ^ _218082) ^ [_249643, _249645] : [leq(minus(_249645, _249643), _249645), -(leq(n0, _249643))], (786 ^ _218082) ^ [_249872, _249874, _249876, _249878] : [-(a_select3(tptp_update3(_249878, _249876, _249874, _249872), _249876, _249874) = _249872)], (788 ^ _218082) ^ [_250064, _250066, _250068, _250070, _250072, _250074, _250076] : [-(a_select3(tptp_update3(_250068, _250076, _250074, _250064), _250072, _250070) = _250066), -(_250076 = _250072), _250074 = _250070, a_select3(_250068, _250072, _250070) = _250066], (802 ^ _218082) ^ [_250607, _250609, _250611, _250613, _250615, _250617] : [-(a_select3(tptp_update3(_250609, _250613, _250611, _250607), _250617, _250615) = _250607), 807 ^ _218082 : [(808 ^ _218082) ^ [] : [-(leq(n0, 805 ^ [_250607, _250609, _250611, _250613, _250615, _250617]))], (810 ^ _218082) ^ [] : [-(leq(n0, 806 ^ [_250607, _250609, _250611, _250613, _250615, _250617]))], (812 ^ _218082) ^ [] : [-(leq(805 ^ [_250607, _250609, _250611, _250613, _250615, _250617], _250613))], (814 ^ _218082) ^ [] : [-(leq(806 ^ [_250607, _250609, _250611, _250613, _250615, _250617], _250611))], (816 ^ _218082) ^ [] : [a_select3(_250609, 805 ^ [_250607, _250609, _250611, _250613, _250615, _250617], 806 ^ [_250607, _250609, _250611, _250613, _250615, _250617]) = _250607]], leq(n0, _250617), leq(_250617, _250613), leq(n0, _250615), leq(_250615, _250611)], (834 ^ _218082) ^ [_251949, _251951, _251953] : [-(a_select2(tptp_update2(_251953, _251951, _251949), _251951) = _251949)], (836 ^ _218082) ^ [_252109, _252111, _252113, _252115, _252117] : [-(a_select2(tptp_update2(_252113, _252117, _252109), _252115) = _252111), -(_252117 = _252115), a_select2(_252113, _252115) = _252111], (865 ^ _218082) ^ [] : [-(true)], (867 ^ _218082) ^ [] : [def = use], (846 ^ _218082) ^ [_252489, _252491, _252493, _252495] : [-(a_select2(tptp_update2(_252491, _252493, _252489), _252495) = _252489), 850 ^ _218082 : [(851 ^ _218082) ^ [] : [-(leq(n0, 849 ^ [_252489, _252491, _252493, _252495]))], (853 ^ _218082) ^ [] : [-(leq(849 ^ [_252489, _252491, _252493, _252495], _252493))], (855 ^ _218082) ^ [] : [a_select2(_252491, 849 ^ [_252489, _252491, _252493, _252495]) = _252489]], leq(n0, _252495), leq(_252495, _252493)]], input).
% 0.66/1.37  ncf('1',plain,[gt(pv5, pv5)],start(284 ^ 0,bind([[_228148], [pv5]]))).
% 0.66/1.37  ncf('1.1',plain,[-(gt(pv5, pv5)), gt(pv5, n0), pv5 = pv5, n0 = pv5],extension(48 ^ 1,bind([[_219766, _219768, _219770, _219772], [pv5, n0, pv5, pv5]]))).
% 0.66/1.37  ncf('1.1.1',plain,[-(gt(pv5, n0))],extension(1115 ^ 2)).
% 0.66/1.37  ncf('1.1.2',plain,[-(pv5 = pv5)],extension(2 ^ 2,bind([[_218226], [pv5]]))).
% 0.66/1.37  ncf('1.1.3',plain,[-(n0 = pv5), pv5 = n0],extension(4 ^ 2,bind([[_218333, _218335], [n0, pv5]]))).
% 0.66/1.37  ncf('1.1.3.1',plain,[-(pv5 = n0), leq(n0, pv5), leq(pv5, n0)],extension(981 ^ 3,bind([[_256291], [pv5]]))).
% 0.66/1.37  ncf('1.1.3.1.1',plain,[-(leq(n0, pv5))],extension(1109 ^ 4)).
% 0.66/1.37  ncf('1.1.3.1.2',plain,[-(leq(pv5, n0))],extension(1111 ^ 4)).
% 0.66/1.37  %-----------------------------------------------------
% 0.66/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------