%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV192+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV192+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 02:52:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1155 ^ _216820) ^ [] : [-(leq(n0, 1152 ^ []))], (1157 ^ _216820) ^ [] : [-(leq(n0, 1153 ^ []))], (1159 ^ _216820) ^ [] : [-(leq(1152 ^ [], n2))], (1161 ^ _216820) ^ [] : [-(leq(1153 ^ [], pred(pv5)))], (1181 ^ _216820) ^ [] : [a_select3(u_defuse, 1152 ^ [], 1153 ^ []) = use], (1163 ^ _216820) ^ [] : [n0 = 1152 ^ [], pv5 = 1153 ^ []], (1169 ^ _216820) ^ [] : [n1 = 1152 ^ [], pv5 = 1153 ^ []], (1175 ^ _216820) ^ [] : [n2 = 1152 ^ [], pv5 = 1153 ^ []], (1055 ^ _216820) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _216820) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _216820) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _216820) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _216820) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _216820) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _216820) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _216820) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _216820) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _216820) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _216820) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _216820) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _216820) ^ [] : [-(leq(n0, pv5))], (1111 ^ _216820) ^ [] : [-(leq(pv5, n0))], (1113 ^ _216820) ^ [] : [-(leq(pv5, n998))], (1115 ^ _216820) ^ [] : [-(gt(pv5, n0))], (1117 ^ _216820) ^ [_258793, _258795] : [-(a_select3(u_defuse, _258795, _258793) = use), leq(n0, _258795), leq(n0, _258793), leq(_258795, n2), leq(_258793, pred(pv5))], (1135 ^ _216820) ^ [_259258, _259260] : [-(a_select3(z_defuse, _259260, _259258) = use), leq(n0, _259260), leq(n0, _259258), leq(_259260, n2), leq(_259258, pred(pv5))], (2 ^ _216820) ^ [_216964] : [-(_216964 = _216964)], (4 ^ _216820) ^ [_217071, _217073] : [_217073 = _217071, -(_217071 = _217073)], (10 ^ _216820) ^ [_217275, _217277, _217279] : [-(_217279 = _217275), _217279 = _217277, _217277 = _217275], (20 ^ _216820) ^ [_217616, _217618, _217620, _217622] : [-(lt(_217620, _217616)), lt(_217622, _217618), _217622 = _217620, _217618 = _217616], (34 ^ _216820) ^ [_218060, _218062, _218064, _218066] : [-(geq(_218064, _218060)), geq(_218066, _218062), _218066 = _218064, _218062 = _218060], (48 ^ _216820) ^ [_218504, _218506, _218508, _218510] : [-(gt(_218508, _218504)), gt(_218510, _218506), _218510 = _218508, _218506 = _218504], (62 ^ _216820) ^ [_218928, _218930, _218932, _218934] : [-(leq(_218932, _218928)), leq(_218934, _218930), _218934 = _218932, _218930 = _218928], (76 ^ _216820) ^ [_219384, _219386, _219388, _219390] : [-(uniform_int_rnd(_219390, _219386) = uniform_int_rnd(_219388, _219384)), _219390 = _219388, _219386 = _219384], (86 ^ _216820) ^ [_219743, _219745, _219747, _219749] : [-(tptp_const_array1(_219749, _219745) = tptp_const_array1(_219747, _219743)), _219749 = _219747, _219745 = _219743], (96 ^ _216820) ^ [_220130, _220132, _220134, _220136, _220138, _220140] : [-(tptp_const_array2(_220140, _220136, _220132) = tptp_const_array2(_220138, _220134, _220130)), _220140 = _220138, _220136 = _220134, _220132 = _220130], (110 ^ _216820) ^ [_220618, _220620, _220622, _220624] : [-(dim(_220624, _220620) = dim(_220622, _220618)), _220624 = _220622, _220620 = _220618], (120 ^ _216820) ^ [_220949, _220951] : [_220951 = _220949, -(inv(_220951) = inv(_220949))], (126 ^ _216820) ^ [_221195, _221197, _221199, _221201] : [-(tptp_msub(_221201, _221197) = tptp_msub(_221199, _221195)), _221201 = _221199, _221197 = _221195], (136 ^ _216820) ^ [_221554, _221556, _221558, _221560] : [-(tptp_madd(_221560, _221556) = tptp_madd(_221558, _221554)), _221560 = _221558, _221556 = _221554], (146 ^ _216820) ^ [_221913, _221915, _221917, _221919] : [-(tptp_mmul(_221919, _221915) = tptp_mmul(_221917, _221913)), _221919 = _221917, _221915 = _221913], (156 ^ _216820) ^ [_222244, _222246] : [_222246 = _222244, -(trans(_222246) = trans(_222244))], (162 ^ _216820) ^ [_222518, _222520, _222522, _222524, _222526, _222528] : [-(sum(_222528, _222524, _222520) = sum(_222526, _222522, _222518)), _222528 = _222526, _222524 = _222522, _222520 = _222518], (176 ^ _216820) ^ [_223006, _223008, _223010, _223012] : [-(plus(_223012, _223008) = plus(_223010, _223006)), _223012 = _223010, _223008 = _223006], (186 ^ _216820) ^ [_223365, _223367, _223369, _223371] : [-(minus(_223371, _223367) = minus(_223369, _223365)), _223371 = _223369, _223367 = _223365], (196 ^ _216820) ^ [_223780, _223782, _223784, _223786, _223788, _223790, _223792, _223794] : [-(tptp_update3(_223794, _223790, _223786, _223782) = tptp_update3(_223792, _223788, _223784, _223780)), _223794 = _223792, _223790 = _223788, _223786 = _223784, _223782 = _223780], (214 ^ _216820) ^ [_224441, _224443, _224445, _224447, _224449, _224451] : [-(tptp_update2(_224451, _224447, _224443) = tptp_update2(_224449, _224445, _224441)), _224451 = _224449, _224447 = _224445, _224443 = _224441], (228 ^ _216820) ^ [_224901, _224903] : [_224903 = _224901, -(succ(_224903) = succ(_224901))], (234 ^ _216820) ^ [_225147, _225149, _225151, _225153] : [-(a_select2(_225153, _225149) = a_select2(_225151, _225147)), _225153 = _225151, _225149 = _225147], (244 ^ _216820) ^ [_225478, _225480] : [_225480 = _225478, -(pred(_225480) = pred(_225478))], (250 ^ _216820) ^ [_225732, _225734, _225736, _225738, _225740, _225742] : [-(a_select3(_225742, _225738, _225734) = a_select3(_225740, _225736, _225732)), _225742 = _225740, _225738 = _225736, _225734 = _225732], (869 ^ _216820) ^ [] : [-(gt(n5, n4))], (871 ^ _216820) ^ [] : [-(gt(n998, n4))], (873 ^ _216820) ^ [] : [-(gt(n998, n5))], (875 ^ _216820) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _216820) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _216820) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _216820) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _216820) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _216820) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _216820) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _216820) ^ [] : [-(gt(n4, n0))], (891 ^ _216820) ^ [] : [-(gt(n5, n0))], (893 ^ _216820) ^ [] : [-(gt(n998, n0))], (895 ^ _216820) ^ [] : [-(gt(n1, n0))], (897 ^ _216820) ^ [] : [-(gt(n2, n0))], (899 ^ _216820) ^ [] : [-(gt(n3, n0))], (901 ^ _216820) ^ [] : [-(gt(n4, n1))], (903 ^ _216820) ^ [] : [-(gt(n5, n1))], (905 ^ _216820) ^ [] : [-(gt(n998, n1))], (907 ^ _216820) ^ [] : [-(gt(n2, n1))], (909 ^ _216820) ^ [] : [-(gt(n3, n1))], (911 ^ _216820) ^ [] : [-(gt(n4, n2))], (913 ^ _216820) ^ [] : [-(gt(n5, n2))], (915 ^ _216820) ^ [] : [-(gt(n998, n2))], (917 ^ _216820) ^ [] : [-(gt(n3, n2))], (919 ^ _216820) ^ [] : [-(gt(n4, n3))], (921 ^ _216820) ^ [] : [-(gt(n5, n3))], (923 ^ _216820) ^ [] : [-(gt(n998, n3))], (925 ^ _216820) ^ [_253701] : [leq(n0, _253701), leq(_253701, n4), -(_253701 = n0), -(_253701 = n1), -(_253701 = n2), -(_253701 = n3), -(_253701 = n4)], (951 ^ _216820) ^ [_254322] : [leq(n0, _254322), leq(_254322, n5), -(_254322 = n0), -(_254322 = n1), -(_254322 = n2), -(_254322 = n3), -(_254322 = n4), -(_254322 = n5)], (981 ^ _216820) ^ [_255029] : [-(_255029 = n0), leq(n0, _255029), leq(_255029, n0)], (991 ^ _216820) ^ [_255304] : [leq(n0, _255304), leq(_255304, n1), -(_255304 = n0), -(_255304 = n1)], (1005 ^ _216820) ^ [_255667] : [leq(n0, _255667), leq(_255667, n2), -(_255667 = n0), -(_255667 = n1), -(_255667 = n2)], (1045 ^ _216820) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _216820) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _216820) ^ [] : [-(succ(n0) = n1)], (1051 ^ _216820) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _216820) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _216820) ^ [_256116] : [leq(n0, _256116), leq(_256116, n3), -(_256116 = n0), -(_256116 = n1), -(_256116 = n2), -(_256116 = n3)], (264 ^ _216820) ^ [_226292, _226294] : [-(gt(_226294, _226292)), -(gt(_226292, _226294)), -(_226294 = _226292)], (274 ^ _216820) ^ [_226607, _226609, _226611] : [-(gt(_226611, _226607)), gt(_226611, _226609), gt(_226609, _226607)], (284 ^ _216820) ^ [_226886] : [gt(_226886, _226886)], (286 ^ _216820) ^ [_226964] : [-(leq(_226964, _226964))], (288 ^ _216820) ^ [_227085, _227087, _227089] : [-(leq(_227089, _227085)), leq(_227089, _227087), leq(_227087, _227085)], (298 ^ _216820) ^ [_227423, _227425] : [lt(_227425, _227423), -(gt(_227423, _227425))], (304 ^ _216820) ^ [_227585, _227587] : [gt(_227585, _227587), -(lt(_227587, _227585))], (310 ^ _216820) ^ [_227826, _227828] : [geq(_227828, _227826), -(leq(_227826, _227828))], (316 ^ _216820) ^ [_227988, _227990] : [leq(_227988, _227990), -(geq(_227990, _227988))], (322 ^ _216820) ^ [_228200, _228202] : [gt(_228200, _228202), -(leq(_228202, _228200))], (328 ^ _216820) ^ [_228410, _228412] : [-(gt(_228410, _228412)), leq(_228412, _228410), -(_228412 = _228410)], (338 ^ _216820) ^ [_228741, _228743] : [leq(_228743, pred(_228741)), -(gt(_228741, _228743))], (344 ^ _216820) ^ [_228907, _228909] : [gt(_228907, _228909), -(leq(_228909, pred(_228907)))], (350 ^ _216820) ^ [_229094] : [-(gt(succ(_229094), _229094))], (352 ^ _216820) ^ [_229203, _229205] : [leq(_229205, _229203), -(leq(_229205, succ(_229203)))], (358 ^ _216820) ^ [_229446, _229448] : [leq(_229448, _229446), -(gt(succ(_229446), _229448))], (364 ^ _216820) ^ [_229612, _229614] : [gt(succ(_229612), _229614), -(leq(_229614, _229612))], (370 ^ _216820) ^ [_229828, _229830] : [leq(n0, _229830), -(leq(uniform_int_rnd(_229828, _229830), _229830))], (376 ^ _216820) ^ [_230044, _230046] : [leq(n0, _230046), -(leq(n0, uniform_int_rnd(_230044, _230046)))], (382 ^ _216820) ^ [_230288, _230290, _230292, _230294] : [-(a_select2(tptp_const_array1(dim(_230292, _230290), _230288), _230294) = _230288), leq(_230292, _230294), leq(_230294, _230290)], (392 ^ _216820) ^ [_230695, _230697, _230699, _230701, _230703, _230705, _230707] : [-(a_select3(tptp_const_array2(dim(_230705, _230703), dim(_230699, _230697), _230695), _230707, _230701) = _230695), leq(_230705, _230707), leq(_230707, _230703), leq(_230699, _230701), leq(_230701, _230697)], (410 ^ _216820) ^ [_231290, _231292] : [413 ^ _216820 : [(414 ^ _216820) ^ [] : [-(leq(n0, 411 ^ [_231290, _231292]))], (416 ^ _216820) ^ [] : [-(leq(411 ^ [_231290, _231292], _231290))], (418 ^ _216820) ^ [] : [-(leq(n0, 412 ^ [_231290, _231292]))], (420 ^ _216820) ^ [] : [-(leq(412 ^ [_231290, _231292], _231290))], (422 ^ _216820) ^ [] : [a_select3(_231292, 411 ^ [_231290, _231292], 412 ^ [_231290, _231292]) = a_select3(_231292, 412 ^ [_231290, _231292], 411 ^ [_231290, _231292])]], 423 ^ _216820 : [(424 ^ _216820) ^ [_232047, _232049] : [-(a_select3(trans(_231292), _232049, _232047) = a_select3(trans(_231292), _232047, _232049)), leq(n0, _232049), leq(_232049, _231290), leq(n0, _232047), leq(_232047, _231290)]]], (442 ^ _216820) ^ [_232594, _232596] : [445 ^ _216820 : [(446 ^ _216820) ^ [] : [-(leq(n0, 443 ^ [_232594, _232596]))], (448 ^ _216820) ^ [] : [-(leq(443 ^ [_232594, _232596], _232594))], (450 ^ _216820) ^ [] : [-(leq(n0, 444 ^ [_232594, _232596]))], (452 ^ _216820) ^ [] : [-(leq(444 ^ [_232594, _232596], _232594))], (454 ^ _216820) ^ [] : [a_select3(_232596, 443 ^ [_232594, _232596], 444 ^ [_232594, _232596]) = a_select3(_232596, 444 ^ [_232594, _232596], 443 ^ [_232594, _232596])]], 455 ^ _216820 : [(456 ^ _216820) ^ [_233351, _233353] : [-(a_select3(inv(_232596), _233353, _233351) = a_select3(inv(_232596), _233351, _233353)), leq(n0, _233353), leq(_233353, _232594), leq(n0, _233351), leq(_233351, _232594)]]], (474 ^ _216820) ^ [_233898, _233900] : [477 ^ _216820 : [(478 ^ _216820) ^ [] : [-(leq(n0, 475 ^ [_233898, _233900]))], (480 ^ _216820) ^ [] : [-(leq(475 ^ [_233898, _233900], _233898))], (482 ^ _216820) ^ [] : [-(leq(n0, 476 ^ [_233898, _233900]))], (484 ^ _216820) ^ [] : [-(leq(476 ^ [_233898, _233900], _233898))], (486 ^ _216820) ^ [] : [a_select3(_233900, 475 ^ [_233898, _233900], 476 ^ [_233898, _233900]) = a_select3(_233900, 476 ^ [_233898, _233900], 475 ^ [_233898, _233900])]], 487 ^ _216820 : [(488 ^ _216820) ^ [_234711, _234713, _234715, _234717] : [-(a_select3(tptp_update3(_233900, _234713, _234713, _234711), _234717, _234715) = a_select3(tptp_update3(_233900, _234713, _234713, _234711), _234715, _234717)), leq(n0, _234717), leq(_234717, _233898), leq(n0, _234715), leq(_234715, _233898), leq(n0, _234713), leq(_234713, _233898)]]], (514 ^ _216820) ^ [_235530, _235532, _235534] : [519 ^ _216820 : [(520 ^ _216820) ^ [] : [-(leq(n0, 517 ^ [_235530, _235532, _235534]))], (522 ^ _216820) ^ [] : [-(leq(517 ^ [_235530, _235532, _235534], _235530))], (524 ^ _216820) ^ [] : [-(leq(n0, 518 ^ [_235530, _235532, _235534]))], (526 ^ _216820) ^ [] : [-(leq(518 ^ [_235530, _235532, _235534], _235530))], (528 ^ _216820) ^ [] : [a_select3(_235534, 517 ^ [_235530, _235532, _235534], 518 ^ [_235530, _235532, _235534]) = a_select3(_235534, 518 ^ [_235530, _235532, _235534], 517 ^ [_235530, _235532, _235534])]], 531 ^ _216820 : [(532 ^ _216820) ^ [] : [-(leq(n0, 529 ^ [_235530, _235532, _235534]))], (534 ^ _216820) ^ [] : [-(leq(529 ^ [_235530, _235532, _235534], _235530))], (536 ^ _216820) ^ [] : [-(leq(n0, 530 ^ [_235530, _235532, _235534]))], (538 ^ _216820) ^ [] : [-(leq(530 ^ [_235530, _235532, _235534], _235530))], (540 ^ _216820) ^ [] : [a_select3(_235532, 529 ^ [_235530, _235532, _235534], 530 ^ [_235530, _235532, _235534]) = a_select3(_235532, 530 ^ [_235530, _235532, _235534], 529 ^ [_235530, _235532, _235534])]], 541 ^ _216820 : [(542 ^ _216820) ^ [_237039, _237041] : [-(a_select3(tptp_madd(_235534, _235532), _237041, _237039) = a_select3(tptp_madd(_235534, _235532), _237039, _237041)), leq(n0, _237041), leq(_237041, _235530), leq(n0, _237039), leq(_237039, _235530)]]], (560 ^ _216820) ^ [_237625, _237627, _237629] : [565 ^ _216820 : [(566 ^ _216820) ^ [] : [-(leq(n0, 563 ^ [_237625, _237627, _237629]))], (568 ^ _216820) ^ [] : [-(leq(563 ^ [_237625, _237627, _237629], _237625))], (570 ^ _216820) ^ [] : [-(leq(n0, 564 ^ [_237625, _237627, _237629]))], (572 ^ _216820) ^ [] : [-(leq(564 ^ [_237625, _237627, _237629], _237625))], (574 ^ _216820) ^ [] : [a_select3(_237629, 563 ^ [_237625, _237627, _237629], 564 ^ [_237625, _237627, _237629]) = a_select3(_237629, 564 ^ [_237625, _237627, _237629], 563 ^ [_237625, _237627, _237629])]], 577 ^ _216820 : [(578 ^ _216820) ^ [] : [-(leq(n0, 575 ^ [_237625, _237627, _237629]))], (580 ^ _216820) ^ [] : [-(leq(575 ^ [_237625, _237627, _237629], _237625))], (582 ^ _216820) ^ [] : [-(leq(n0, 576 ^ [_237625, _237627, _237629]))], (584 ^ _216820) ^ [] : [-(leq(576 ^ [_237625, _237627, _237629], _237625))], (586 ^ _216820) ^ [] : [a_select3(_237627, 575 ^ [_237625, _237627, _237629], 576 ^ [_237625, _237627, _237629]) = a_select3(_237627, 576 ^ [_237625, _237627, _237629], 575 ^ [_237625, _237627, _237629])]], 587 ^ _216820 : [(588 ^ _216820) ^ [_239134, _239136] : [-(a_select3(tptp_msub(_237629, _237627), _239136, _239134) = a_select3(tptp_msub(_237629, _237627), _239134, _239136)), leq(n0, _239136), leq(_239136, _237625), leq(n0, _239134), leq(_239134, _237625)]]], (606 ^ _216820) ^ [_239720, _239722, _239724] : [609 ^ _216820 : [(610 ^ _216820) ^ [] : [-(leq(n0, 607 ^ [_239720, _239722, _239724]))], (612 ^ _216820) ^ [] : [-(leq(607 ^ [_239720, _239722, _239724], _239720))], (614 ^ _216820) ^ [] : [-(leq(n0, 608 ^ [_239720, _239722, _239724]))], (616 ^ _216820) ^ [] : [-(leq(608 ^ [_239720, _239722, _239724], _239720))], (618 ^ _216820) ^ [] : [a_select3(_239722, 607 ^ [_239720, _239722, _239724], 608 ^ [_239720, _239722, _239724]) = a_select3(_239722, 608 ^ [_239720, _239722, _239724], 607 ^ [_239720, _239722, _239724])]], 619 ^ _216820 : [(620 ^ _216820) ^ [_240533, _240535] : [-(a_select3(tptp_mmul(_239724, tptp_mmul(_239722, trans(_239724))), _240535, _240533) = a_select3(tptp_mmul(_239724, tptp_mmul(_239722, trans(_239724))), _240533, _240535)), leq(n0, _240535), leq(_240535, _239720), leq(n0, _240533), leq(_240533, _239720)]]], (638 ^ _216820) ^ [_241152, _241154, _241156, _241158] : [641 ^ _216820 : [(642 ^ _216820) ^ [] : [-(leq(n0, 639 ^ [_241152, _241154, _241156, _241158]))], (644 ^ _216820) ^ [] : [-(leq(639 ^ [_241152, _241154, _241156, _241158], _241152))], (646 ^ _216820) ^ [] : [-(leq(n0, 640 ^ [_241152, _241154, _241156, _241158]))], (648 ^ _216820) ^ [] : [-(leq(640 ^ [_241152, _241154, _241156, _241158], _241152))], (650 ^ _216820) ^ [] : [a_select3(_241156, 639 ^ [_241152, _241154, _241156, _241158], 640 ^ [_241152, _241154, _241156, _241158]) = a_select3(_241156, 640 ^ [_241152, _241154, _241156, _241158], 639 ^ [_241152, _241154, _241156, _241158])]], 651 ^ _216820 : [(652 ^ _216820) ^ [_242009, _242011] : [-(a_select3(tptp_mmul(_241158, tptp_mmul(_241156, trans(_241158))), _242011, _242009) = a_select3(tptp_mmul(_241158, tptp_mmul(_241156, trans(_241158))), _242009, _242011)), leq(n0, _242011), leq(_242011, _241154), leq(n0, _242009), leq(_242009, _241154)]]], (670 ^ _216820) ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718] : [675 ^ _216820 : [(676 ^ _216820) ^ [] : [-(leq(n0, 673 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (678 ^ _216820) ^ [] : [-(leq(673 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242704))], (680 ^ _216820) ^ [] : [-(leq(n0, 674 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (682 ^ _216820) ^ [] : [-(leq(674 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242704))], (684 ^ _216820) ^ [] : [a_select3(_242712, 673 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 674 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]) = a_select3(_242712, 674 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 673 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718])]], 689 ^ _216820 : [(690 ^ _216820) ^ [] : [-(leq(n0, 687 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (692 ^ _216820) ^ [] : [-(leq(687 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242706))], (694 ^ _216820) ^ [] : [-(leq(n0, 688 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (696 ^ _216820) ^ [] : [-(leq(688 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242706))], (698 ^ _216820) ^ [] : [a_select3(_242718, 687 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 688 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]) = a_select3(_242718, 688 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 687 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718])]], 701 ^ _216820 : [(702 ^ _216820) ^ [] : [-(leq(n0, 699 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (704 ^ _216820) ^ [] : [-(leq(699 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242706))], (706 ^ _216820) ^ [] : [-(leq(n0, 700 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]))], (708 ^ _216820) ^ [] : [-(leq(700 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], _242706))], (710 ^ _216820) ^ [] : [a_select3(_242708, 699 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 700 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718]) = a_select3(_242708, 700 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718], 699 ^ [_242704, _242706, _242708, _242710, _242712, _242714, _242716, _242718])]], 711 ^ _216820 : [(712 ^ _216820) ^ [_245632, _245634] : [-(a_select3(tptp_madd(_242718, tptp_mmul(_242716, tptp_mmul(tptp_madd(tptp_mmul(_242714, tptp_mmul(_242712, trans(_242714))), tptp_mmul(_242710, tptp_mmul(_242708, trans(_242710)))), trans(_242716)))), _245634, _245632) = a_select3(tptp_madd(_242718, tptp_mmul(_242716, tptp_mmul(tptp_madd(tptp_mmul(_242714, tptp_mmul(_242712, trans(_242714))), tptp_mmul(_242710, tptp_mmul(_242708, trans(_242710)))), trans(_242716)))), _245632, _245634)), leq(n0, _245634), leq(_245634, _242706), leq(n0, _245632), leq(_245632, _242706)]]], (730 ^ _216820) ^ [_246385] : [-(sum(n0, tptp_minus_1, _246385) = n0)], (732 ^ _216820) ^ [_246467] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246467))], (734 ^ _216820) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _216820) ^ [_246602] : [-(plus(_246602, n1) = succ(_246602))], (738 ^ _216820) ^ [_246685] : [-(plus(n1, _246685) = succ(_246685))], (740 ^ _216820) ^ [_246768] : [-(plus(_246768, n2) = succ(succ(_246768)))], (742 ^ _216820) ^ [_246853] : [-(plus(n2, _246853) = succ(succ(_246853)))], (744 ^ _216820) ^ [_246938] : [-(plus(_246938, n3) = succ(succ(succ(_246938))))], (746 ^ _216820) ^ [_247025] : [-(plus(n3, _247025) = succ(succ(succ(_247025))))], (748 ^ _216820) ^ [_247112] : [-(plus(_247112, n4) = succ(succ(succ(succ(_247112)))))], (750 ^ _216820) ^ [_247201] : [-(plus(n4, _247201) = succ(succ(succ(succ(_247201)))))], (752 ^ _216820) ^ [_247290] : [-(plus(_247290, n5) = succ(succ(succ(succ(succ(_247290))))))], (754 ^ _216820) ^ [_247381] : [-(plus(n5, _247381) = succ(succ(succ(succ(succ(_247381))))))], (756 ^ _216820) ^ [_247472] : [-(minus(_247472, n1) = pred(_247472))], (758 ^ _216820) ^ [_247555] : [-(pred(succ(_247555)) = _247555)], (760 ^ _216820) ^ [_247637] : [-(succ(pred(_247637)) = _247637)], (762 ^ _216820) ^ [_247777, _247779] : [leq(succ(_247779), succ(_247777)), -(leq(_247779, _247777))], (768 ^ _216820) ^ [_247947, _247949] : [leq(_247949, _247947), -(leq(succ(_247949), succ(_247947)))], (774 ^ _216820) ^ [_248167, _248169] : [leq(succ(_248169), _248167), -(gt(_248167, _248169))], (780 ^ _216820) ^ [_248381, _248383] : [leq(minus(_248383, _248381), _248383), -(leq(n0, _248381))], (786 ^ _216820) ^ [_248610, _248612, _248614, _248616] : [-(a_select3(tptp_update3(_248616, _248614, _248612, _248610), _248614, _248612) = _248610)], (788 ^ _216820) ^ [_248802, _248804, _248806, _248808, _248810, _248812, _248814] : [-(a_select3(tptp_update3(_248806, _248814, _248812, _248802), _248810, _248808) = _248804), -(_248814 = _248810), _248812 = _248808, a_select3(_248806, _248810, _248808) = _248804], (802 ^ _216820) ^ [_249345, _249347, _249349, _249351, _249353, _249355] : [-(a_select3(tptp_update3(_249347, _249351, _249349, _249345), _249355, _249353) = _249345), 807 ^ _216820 : [(808 ^ _216820) ^ [] : [-(leq(n0, 805 ^ [_249345, _249347, _249349, _249351, _249353, _249355]))], (810 ^ _216820) ^ [] : [-(leq(n0, 806 ^ [_249345, _249347, _249349, _249351, _249353, _249355]))], (812 ^ _216820) ^ [] : [-(leq(805 ^ [_249345, _249347, _249349, _249351, _249353, _249355], _249351))], (814 ^ _216820) ^ [] : [-(leq(806 ^ [_249345, _249347, _249349, _249351, _249353, _249355], _249349))], (816 ^ _216820) ^ [] : [a_select3(_249347, 805 ^ [_249345, _249347, _249349, _249351, _249353, _249355], 806 ^ [_249345, _249347, _249349, _249351, _249353, _249355]) = _249345]], leq(n0, _249355), leq(_249355, _249351), leq(n0, _249353), leq(_249353, _249349)], (834 ^ _216820) ^ [_250687, _250689, _250691] : [-(a_select2(tptp_update2(_250691, _250689, _250687), _250689) = _250687)], (836 ^ _216820) ^ [_250847, _250849, _250851, _250853, _250855] : [-(a_select2(tptp_update2(_250851, _250855, _250847), _250853) = _250849), -(_250855 = _250853), a_select2(_250851, _250853) = _250849], (865 ^ _216820) ^ [] : [-(true)], (867 ^ _216820) ^ [] : [def = use], (846 ^ _216820) ^ [_251227, _251229, _251231, _251233] : [-(a_select2(tptp_update2(_251229, _251231, _251227), _251233) = _251227), 850 ^ _216820 : [(851 ^ _216820) ^ [] : [-(leq(n0, 849 ^ [_251227, _251229, _251231, _251233]))], (853 ^ _216820) ^ [] : [-(leq(849 ^ [_251227, _251229, _251231, _251233], _251231))], (855 ^ _216820) ^ [] : [a_select2(_251229, 849 ^ [_251227, _251229, _251231, _251233]) = _251227]], leq(n0, _251233), leq(_251233, _251231)]], input).
% 0.33/1.38  ncf('1',plain,[a_select3(u_defuse, 1152 ^ [], 1153 ^ []) = use],start(1181 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(a_select3(u_defuse, 1152 ^ [], 1153 ^ []) = use), leq(n0, 1152 ^ []), leq(n0, 1153 ^ []), leq(1152 ^ [], n2), leq(1153 ^ [], pred(pv5))],extension(1117 ^ 1,bind([[_258793, _258795], [1153 ^ [], 1152 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(leq(n0, 1152 ^ []))],extension(1155 ^ 2)).
% 0.33/1.38  ncf('1.1.2',plain,[-(leq(n0, 1153 ^ []))],extension(1157 ^ 2)).
% 0.33/1.38  ncf('1.1.3',plain,[-(leq(1152 ^ [], n2))],extension(1159 ^ 2)).
% 0.33/1.38  ncf('1.1.4',plain,[-(leq(1153 ^ [], pred(pv5)))],extension(1161 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------