%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV206+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 12:20:10 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
% 0.00/0.12  % Problem  : SWV206+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n014.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 02:08:12 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, [(1147 ^ _213284) ^ [] : [-(leq(n0, 1144 ^ []))], (1149 ^ _213284) ^ [] : [-(leq(n0, 1145 ^ []))], (1151 ^ _213284) ^ [] : [-(leq(1144 ^ [], n2))], (1153 ^ _213284) ^ [] : [-(leq(1145 ^ [], n998))], (1155 ^ _213284) ^ [] : [a_select3(u_defuse, 1144 ^ [], 1145 ^ []) = use], (1055 ^ _213284) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _213284) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _213284) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _213284) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _213284) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _213284) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _213284) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _213284) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _213284) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _213284) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _213284) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _213284) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _213284) ^ [_255045, _255047] : [-(a_select3(u_defuse, _255047, _255045) = use), leq(n0, _255047), leq(n0, _255045), leq(_255047, n2), leq(_255045, n998)], (1127 ^ _213284) ^ [_255510, _255512] : [-(a_select3(z_defuse, _255512, _255510) = use), leq(n0, _255512), leq(n0, _255510), leq(_255512, n2), leq(_255510, n998)], (2 ^ _213284) ^ [_213428] : [-(_213428 = _213428)], (4 ^ _213284) ^ [_213535, _213537] : [_213537 = _213535, -(_213535 = _213537)], (10 ^ _213284) ^ [_213739, _213741, _213743] : [-(_213743 = _213739), _213743 = _213741, _213741 = _213739], (20 ^ _213284) ^ [_214080, _214082, _214084, _214086] : [-(lt(_214084, _214080)), lt(_214086, _214082), _214086 = _214084, _214082 = _214080], (34 ^ _213284) ^ [_214524, _214526, _214528, _214530] : [-(geq(_214528, _214524)), geq(_214530, _214526), _214530 = _214528, _214526 = _214524], (48 ^ _213284) ^ [_214968, _214970, _214972, _214974] : [-(gt(_214972, _214968)), gt(_214974, _214970), _214974 = _214972, _214970 = _214968], (62 ^ _213284) ^ [_215392, _215394, _215396, _215398] : [-(leq(_215396, _215392)), leq(_215398, _215394), _215398 = _215396, _215394 = _215392], (76 ^ _213284) ^ [_215848, _215850, _215852, _215854] : [-(uniform_int_rnd(_215854, _215850) = uniform_int_rnd(_215852, _215848)), _215854 = _215852, _215850 = _215848], (86 ^ _213284) ^ [_216207, _216209, _216211, _216213] : [-(tptp_const_array1(_216213, _216209) = tptp_const_array1(_216211, _216207)), _216213 = _216211, _216209 = _216207], (96 ^ _213284) ^ [_216594, _216596, _216598, _216600, _216602, _216604] : [-(tptp_const_array2(_216604, _216600, _216596) = tptp_const_array2(_216602, _216598, _216594)), _216604 = _216602, _216600 = _216598, _216596 = _216594], (110 ^ _213284) ^ [_217082, _217084, _217086, _217088] : [-(dim(_217088, _217084) = dim(_217086, _217082)), _217088 = _217086, _217084 = _217082], (120 ^ _213284) ^ [_217413, _217415] : [_217415 = _217413, -(inv(_217415) = inv(_217413))], (126 ^ _213284) ^ [_217659, _217661, _217663, _217665] : [-(tptp_msub(_217665, _217661) = tptp_msub(_217663, _217659)), _217665 = _217663, _217661 = _217659], (136 ^ _213284) ^ [_218018, _218020, _218022, _218024] : [-(tptp_madd(_218024, _218020) = tptp_madd(_218022, _218018)), _218024 = _218022, _218020 = _218018], (146 ^ _213284) ^ [_218377, _218379, _218381, _218383] : [-(tptp_mmul(_218383, _218379) = tptp_mmul(_218381, _218377)), _218383 = _218381, _218379 = _218377], (156 ^ _213284) ^ [_218708, _218710] : [_218710 = _218708, -(trans(_218710) = trans(_218708))], (162 ^ _213284) ^ [_218982, _218984, _218986, _218988, _218990, _218992] : [-(sum(_218992, _218988, _218984) = sum(_218990, _218986, _218982)), _218992 = _218990, _218988 = _218986, _218984 = _218982], (176 ^ _213284) ^ [_219470, _219472, _219474, _219476] : [-(plus(_219476, _219472) = plus(_219474, _219470)), _219476 = _219474, _219472 = _219470], (186 ^ _213284) ^ [_219801, _219803] : [_219803 = _219801, -(pred(_219803) = pred(_219801))], (192 ^ _213284) ^ [_220047, _220049, _220051, _220053] : [-(minus(_220053, _220049) = minus(_220051, _220047)), _220053 = _220051, _220049 = _220047], (202 ^ _213284) ^ [_220462, _220464, _220466, _220468, _220470, _220472, _220474, _220476] : [-(tptp_update3(_220476, _220472, _220468, _220464) = tptp_update3(_220474, _220470, _220466, _220462)), _220476 = _220474, _220472 = _220470, _220468 = _220466, _220464 = _220462], (220 ^ _213284) ^ [_221123, _221125, _221127, _221129, _221131, _221133] : [-(tptp_update2(_221133, _221129, _221125) = tptp_update2(_221131, _221127, _221123)), _221133 = _221131, _221129 = _221127, _221125 = _221123], (234 ^ _213284) ^ [_221583, _221585] : [_221585 = _221583, -(succ(_221585) = succ(_221583))], (240 ^ _213284) ^ [_221829, _221831, _221833, _221835] : [-(a_select2(_221835, _221831) = a_select2(_221833, _221829)), _221835 = _221833, _221831 = _221829], (250 ^ _213284) ^ [_222196, _222198, _222200, _222202, _222204, _222206] : [-(a_select3(_222206, _222202, _222198) = a_select3(_222204, _222200, _222196)), _222206 = _222204, _222202 = _222200, _222198 = _222196], (869 ^ _213284) ^ [] : [-(gt(n5, n4))], (871 ^ _213284) ^ [] : [-(gt(n998, n4))], (873 ^ _213284) ^ [] : [-(gt(n998, n5))], (875 ^ _213284) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _213284) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _213284) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _213284) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _213284) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _213284) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _213284) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _213284) ^ [] : [-(gt(n4, n0))], (891 ^ _213284) ^ [] : [-(gt(n5, n0))], (893 ^ _213284) ^ [] : [-(gt(n998, n0))], (895 ^ _213284) ^ [] : [-(gt(n1, n0))], (897 ^ _213284) ^ [] : [-(gt(n2, n0))], (899 ^ _213284) ^ [] : [-(gt(n3, n0))], (901 ^ _213284) ^ [] : [-(gt(n4, n1))], (903 ^ _213284) ^ [] : [-(gt(n5, n1))], (905 ^ _213284) ^ [] : [-(gt(n998, n1))], (907 ^ _213284) ^ [] : [-(gt(n2, n1))], (909 ^ _213284) ^ [] : [-(gt(n3, n1))], (911 ^ _213284) ^ [] : [-(gt(n4, n2))], (913 ^ _213284) ^ [] : [-(gt(n5, n2))], (915 ^ _213284) ^ [] : [-(gt(n998, n2))], (917 ^ _213284) ^ [] : [-(gt(n3, n2))], (919 ^ _213284) ^ [] : [-(gt(n4, n3))], (921 ^ _213284) ^ [] : [-(gt(n5, n3))], (923 ^ _213284) ^ [] : [-(gt(n998, n3))], (925 ^ _213284) ^ [_250165] : [leq(n0, _250165), leq(_250165, n4), -(_250165 = n0), -(_250165 = n1), -(_250165 = n2), -(_250165 = n3), -(_250165 = n4)], (951 ^ _213284) ^ [_250786] : [leq(n0, _250786), leq(_250786, n5), -(_250786 = n0), -(_250786 = n1), -(_250786 = n2), -(_250786 = n3), -(_250786 = n4), -(_250786 = n5)], (981 ^ _213284) ^ [_251493] : [-(_251493 = n0), leq(n0, _251493), leq(_251493, n0)], (991 ^ _213284) ^ [_251768] : [leq(n0, _251768), leq(_251768, n1), -(_251768 = n0), -(_251768 = n1)], (1005 ^ _213284) ^ [_252131] : [leq(n0, _252131), leq(_252131, n2), -(_252131 = n0), -(_252131 = n1), -(_252131 = n2)], (1045 ^ _213284) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _213284) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _213284) ^ [] : [-(succ(n0) = n1)], (1051 ^ _213284) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _213284) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _213284) ^ [_252580] : [leq(n0, _252580), leq(_252580, n3), -(_252580 = n0), -(_252580 = n1), -(_252580 = n2), -(_252580 = n3)], (264 ^ _213284) ^ [_222756, _222758] : [-(gt(_222758, _222756)), -(gt(_222756, _222758)), -(_222758 = _222756)], (274 ^ _213284) ^ [_223071, _223073, _223075] : [-(gt(_223075, _223071)), gt(_223075, _223073), gt(_223073, _223071)], (284 ^ _213284) ^ [_223350] : [gt(_223350, _223350)], (286 ^ _213284) ^ [_223428] : [-(leq(_223428, _223428))], (288 ^ _213284) ^ [_223549, _223551, _223553] : [-(leq(_223553, _223549)), leq(_223553, _223551), leq(_223551, _223549)], (298 ^ _213284) ^ [_223887, _223889] : [lt(_223889, _223887), -(gt(_223887, _223889))], (304 ^ _213284) ^ [_224049, _224051] : [gt(_224049, _224051), -(lt(_224051, _224049))], (310 ^ _213284) ^ [_224290, _224292] : [geq(_224292, _224290), -(leq(_224290, _224292))], (316 ^ _213284) ^ [_224452, _224454] : [leq(_224452, _224454), -(geq(_224454, _224452))], (322 ^ _213284) ^ [_224664, _224666] : [gt(_224664, _224666), -(leq(_224666, _224664))], (328 ^ _213284) ^ [_224874, _224876] : [-(gt(_224874, _224876)), leq(_224876, _224874), -(_224876 = _224874)], (338 ^ _213284) ^ [_225205, _225207] : [leq(_225207, pred(_225205)), -(gt(_225205, _225207))], (344 ^ _213284) ^ [_225371, _225373] : [gt(_225371, _225373), -(leq(_225373, pred(_225371)))], (350 ^ _213284) ^ [_225558] : [-(gt(succ(_225558), _225558))], (352 ^ _213284) ^ [_225667, _225669] : [leq(_225669, _225667), -(leq(_225669, succ(_225667)))], (358 ^ _213284) ^ [_225910, _225912] : [leq(_225912, _225910), -(gt(succ(_225910), _225912))], (364 ^ _213284) ^ [_226076, _226078] : [gt(succ(_226076), _226078), -(leq(_226078, _226076))], (370 ^ _213284) ^ [_226292, _226294] : [leq(n0, _226294), -(leq(uniform_int_rnd(_226292, _226294), _226294))], (376 ^ _213284) ^ [_226508, _226510] : [leq(n0, _226510), -(leq(n0, uniform_int_rnd(_226508, _226510)))], (382 ^ _213284) ^ [_226752, _226754, _226756, _226758] : [-(a_select2(tptp_const_array1(dim(_226756, _226754), _226752), _226758) = _226752), leq(_226756, _226758), leq(_226758, _226754)], (392 ^ _213284) ^ [_227159, _227161, _227163, _227165, _227167, _227169, _227171] : [-(a_select3(tptp_const_array2(dim(_227169, _227167), dim(_227163, _227161), _227159), _227171, _227165) = _227159), leq(_227169, _227171), leq(_227171, _227167), leq(_227163, _227165), leq(_227165, _227161)], (410 ^ _213284) ^ [_227754, _227756] : [413 ^ _213284 : [(414 ^ _213284) ^ [] : [-(leq(n0, 411 ^ [_227754, _227756]))], (416 ^ _213284) ^ [] : [-(leq(411 ^ [_227754, _227756], _227754))], (418 ^ _213284) ^ [] : [-(leq(n0, 412 ^ [_227754, _227756]))], (420 ^ _213284) ^ [] : [-(leq(412 ^ [_227754, _227756], _227754))], (422 ^ _213284) ^ [] : [a_select3(_227756, 411 ^ [_227754, _227756], 412 ^ [_227754, _227756]) = a_select3(_227756, 412 ^ [_227754, _227756], 411 ^ [_227754, _227756])]], 423 ^ _213284 : [(424 ^ _213284) ^ [_228511, _228513] : [-(a_select3(trans(_227756), _228513, _228511) = a_select3(trans(_227756), _228511, _228513)), leq(n0, _228513), leq(_228513, _227754), leq(n0, _228511), leq(_228511, _227754)]]], (442 ^ _213284) ^ [_229058, _229060] : [445 ^ _213284 : [(446 ^ _213284) ^ [] : [-(leq(n0, 443 ^ [_229058, _229060]))], (448 ^ _213284) ^ [] : [-(leq(443 ^ [_229058, _229060], _229058))], (450 ^ _213284) ^ [] : [-(leq(n0, 444 ^ [_229058, _229060]))], (452 ^ _213284) ^ [] : [-(leq(444 ^ [_229058, _229060], _229058))], (454 ^ _213284) ^ [] : [a_select3(_229060, 443 ^ [_229058, _229060], 444 ^ [_229058, _229060]) = a_select3(_229060, 444 ^ [_229058, _229060], 443 ^ [_229058, _229060])]], 455 ^ _213284 : [(456 ^ _213284) ^ [_229815, _229817] : [-(a_select3(inv(_229060), _229817, _229815) = a_select3(inv(_229060), _229815, _229817)), leq(n0, _229817), leq(_229817, _229058), leq(n0, _229815), leq(_229815, _229058)]]], (474 ^ _213284) ^ [_230362, _230364] : [477 ^ _213284 : [(478 ^ _213284) ^ [] : [-(leq(n0, 475 ^ [_230362, _230364]))], (480 ^ _213284) ^ [] : [-(leq(475 ^ [_230362, _230364], _230362))], (482 ^ _213284) ^ [] : [-(leq(n0, 476 ^ [_230362, _230364]))], (484 ^ _213284) ^ [] : [-(leq(476 ^ [_230362, _230364], _230362))], (486 ^ _213284) ^ [] : [a_select3(_230364, 475 ^ [_230362, _230364], 476 ^ [_230362, _230364]) = a_select3(_230364, 476 ^ [_230362, _230364], 475 ^ [_230362, _230364])]], 487 ^ _213284 : [(488 ^ _213284) ^ [_231175, _231177, _231179, _231181] : [-(a_select3(tptp_update3(_230364, _231177, _231177, _231175), _231181, _231179) = a_select3(tptp_update3(_230364, _231177, _231177, _231175), _231179, _231181)), leq(n0, _231181), leq(_231181, _230362), leq(n0, _231179), leq(_231179, _230362), leq(n0, _231177), leq(_231177, _230362)]]], (514 ^ _213284) ^ [_231994, _231996, _231998] : [519 ^ _213284 : [(520 ^ _213284) ^ [] : [-(leq(n0, 517 ^ [_231994, _231996, _231998]))], (522 ^ _213284) ^ [] : [-(leq(517 ^ [_231994, _231996, _231998], _231994))], (524 ^ _213284) ^ [] : [-(leq(n0, 518 ^ [_231994, _231996, _231998]))], (526 ^ _213284) ^ [] : [-(leq(518 ^ [_231994, _231996, _231998], _231994))], (528 ^ _213284) ^ [] : [a_select3(_231998, 517 ^ [_231994, _231996, _231998], 518 ^ [_231994, _231996, _231998]) = a_select3(_231998, 518 ^ [_231994, _231996, _231998], 517 ^ [_231994, _231996, _231998])]], 531 ^ _213284 : [(532 ^ _213284) ^ [] : [-(leq(n0, 529 ^ [_231994, _231996, _231998]))], (534 ^ _213284) ^ [] : [-(leq(529 ^ [_231994, _231996, _231998], _231994))], (536 ^ _213284) ^ [] : [-(leq(n0, 530 ^ [_231994, _231996, _231998]))], (538 ^ _213284) ^ [] : [-(leq(530 ^ [_231994, _231996, _231998], _231994))], (540 ^ _213284) ^ [] : [a_select3(_231996, 529 ^ [_231994, _231996, _231998], 530 ^ [_231994, _231996, _231998]) = a_select3(_231996, 530 ^ [_231994, _231996, _231998], 529 ^ [_231994, _231996, _231998])]], 541 ^ _213284 : [(542 ^ _213284) ^ [_233503, _233505] : [-(a_select3(tptp_madd(_231998, _231996), _233505, _233503) = a_select3(tptp_madd(_231998, _231996), _233503, _233505)), leq(n0, _233505), leq(_233505, _231994), leq(n0, _233503), leq(_233503, _231994)]]], (560 ^ _213284) ^ [_234089, _234091, _234093] : [565 ^ _213284 : [(566 ^ _213284) ^ [] : [-(leq(n0, 563 ^ [_234089, _234091, _234093]))], (568 ^ _213284) ^ [] : [-(leq(563 ^ [_234089, _234091, _234093], _234089))], (570 ^ _213284) ^ [] : [-(leq(n0, 564 ^ [_234089, _234091, _234093]))], (572 ^ _213284) ^ [] : [-(leq(564 ^ [_234089, _234091, _234093], _234089))], (574 ^ _213284) ^ [] : [a_select3(_234093, 563 ^ [_234089, _234091, _234093], 564 ^ [_234089, _234091, _234093]) = a_select3(_234093, 564 ^ [_234089, _234091, _234093], 563 ^ [_234089, _234091, _234093])]], 577 ^ _213284 : [(578 ^ _213284) ^ [] : [-(leq(n0, 575 ^ [_234089, _234091, _234093]))], (580 ^ _213284) ^ [] : [-(leq(575 ^ [_234089, _234091, _234093], _234089))], (582 ^ _213284) ^ [] : [-(leq(n0, 576 ^ [_234089, _234091, _234093]))], (584 ^ _213284) ^ [] : [-(leq(576 ^ [_234089, _234091, _234093], _234089))], (586 ^ _213284) ^ [] : [a_select3(_234091, 575 ^ [_234089, _234091, _234093], 576 ^ [_234089, _234091, _234093]) = a_select3(_234091, 576 ^ [_234089, _234091, _234093], 575 ^ [_234089, _234091, _234093])]], 587 ^ _213284 : [(588 ^ _213284) ^ [_235598, _235600] : [-(a_select3(tptp_msub(_234093, _234091), _235600, _235598) = a_select3(tptp_msub(_234093, _234091), _235598, _235600)), leq(n0, _235600), leq(_235600, _234089), leq(n0, _235598), leq(_235598, _234089)]]], (606 ^ _213284) ^ [_236184, _236186, _236188] : [609 ^ _213284 : [(610 ^ _213284) ^ [] : [-(leq(n0, 607 ^ [_236184, _236186, _236188]))], (612 ^ _213284) ^ [] : [-(leq(607 ^ [_236184, _236186, _236188], _236184))], (614 ^ _213284) ^ [] : [-(leq(n0, 608 ^ [_236184, _236186, _236188]))], (616 ^ _213284) ^ [] : [-(leq(608 ^ [_236184, _236186, _236188], _236184))], (618 ^ _213284) ^ [] : [a_select3(_236186, 607 ^ [_236184, _236186, _236188], 608 ^ [_236184, _236186, _236188]) = a_select3(_236186, 608 ^ [_236184, _236186, _236188], 607 ^ [_236184, _236186, _236188])]], 619 ^ _213284 : [(620 ^ _213284) ^ [_236997, _236999] : [-(a_select3(tptp_mmul(_236188, tptp_mmul(_236186, trans(_236188))), _236999, _236997) = a_select3(tptp_mmul(_236188, tptp_mmul(_236186, trans(_236188))), _236997, _236999)), leq(n0, _236999), leq(_236999, _236184), leq(n0, _236997), leq(_236997, _236184)]]], (638 ^ _213284) ^ [_237616, _237618, _237620, _237622] : [641 ^ _213284 : [(642 ^ _213284) ^ [] : [-(leq(n0, 639 ^ [_237616, _237618, _237620, _237622]))], (644 ^ _213284) ^ [] : [-(leq(639 ^ [_237616, _237618, _237620, _237622], _237616))], (646 ^ _213284) ^ [] : [-(leq(n0, 640 ^ [_237616, _237618, _237620, _237622]))], (648 ^ _213284) ^ [] : [-(leq(640 ^ [_237616, _237618, _237620, _237622], _237616))], (650 ^ _213284) ^ [] : [a_select3(_237620, 639 ^ [_237616, _237618, _237620, _237622], 640 ^ [_237616, _237618, _237620, _237622]) = a_select3(_237620, 640 ^ [_237616, _237618, _237620, _237622], 639 ^ [_237616, _237618, _237620, _237622])]], 651 ^ _213284 : [(652 ^ _213284) ^ [_238473, _238475] : [-(a_select3(tptp_mmul(_237622, tptp_mmul(_237620, trans(_237622))), _238475, _238473) = a_select3(tptp_mmul(_237622, tptp_mmul(_237620, trans(_237622))), _238473, _238475)), leq(n0, _238475), leq(_238475, _237618), leq(n0, _238473), leq(_238473, _237618)]]], (670 ^ _213284) ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182] : [675 ^ _213284 : [(676 ^ _213284) ^ [] : [-(leq(n0, 673 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (678 ^ _213284) ^ [] : [-(leq(673 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239168))], (680 ^ _213284) ^ [] : [-(leq(n0, 674 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (682 ^ _213284) ^ [] : [-(leq(674 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239168))], (684 ^ _213284) ^ [] : [a_select3(_239176, 673 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 674 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]) = a_select3(_239176, 674 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 673 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182])]], 689 ^ _213284 : [(690 ^ _213284) ^ [] : [-(leq(n0, 687 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (692 ^ _213284) ^ [] : [-(leq(687 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239170))], (694 ^ _213284) ^ [] : [-(leq(n0, 688 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (696 ^ _213284) ^ [] : [-(leq(688 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239170))], (698 ^ _213284) ^ [] : [a_select3(_239182, 687 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 688 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]) = a_select3(_239182, 688 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 687 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182])]], 701 ^ _213284 : [(702 ^ _213284) ^ [] : [-(leq(n0, 699 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (704 ^ _213284) ^ [] : [-(leq(699 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239170))], (706 ^ _213284) ^ [] : [-(leq(n0, 700 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]))], (708 ^ _213284) ^ [] : [-(leq(700 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], _239170))], (710 ^ _213284) ^ [] : [a_select3(_239172, 699 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 700 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182]) = a_select3(_239172, 700 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182], 699 ^ [_239168, _239170, _239172, _239174, _239176, _239178, _239180, _239182])]], 711 ^ _213284 : [(712 ^ _213284) ^ [_242096, _242098] : [-(a_select3(tptp_madd(_239182, tptp_mmul(_239180, tptp_mmul(tptp_madd(tptp_mmul(_239178, tptp_mmul(_239176, trans(_239178))), tptp_mmul(_239174, tptp_mmul(_239172, trans(_239174)))), trans(_239180)))), _242098, _242096) = a_select3(tptp_madd(_239182, tptp_mmul(_239180, tptp_mmul(tptp_madd(tptp_mmul(_239178, tptp_mmul(_239176, trans(_239178))), tptp_mmul(_239174, tptp_mmul(_239172, trans(_239174)))), trans(_239180)))), _242096, _242098)), leq(n0, _242098), leq(_242098, _239170), leq(n0, _242096), leq(_242096, _239170)]]], (730 ^ _213284) ^ [_242849] : [-(sum(n0, tptp_minus_1, _242849) = n0)], (732 ^ _213284) ^ [_242931] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242931))], (734 ^ _213284) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _213284) ^ [_243066] : [-(plus(_243066, n1) = succ(_243066))], (738 ^ _213284) ^ [_243149] : [-(plus(n1, _243149) = succ(_243149))], (740 ^ _213284) ^ [_243232] : [-(plus(_243232, n2) = succ(succ(_243232)))], (742 ^ _213284) ^ [_243317] : [-(plus(n2, _243317) = succ(succ(_243317)))], (744 ^ _213284) ^ [_243402] : [-(plus(_243402, n3) = succ(succ(succ(_243402))))], (746 ^ _213284) ^ [_243489] : [-(plus(n3, _243489) = succ(succ(succ(_243489))))], (748 ^ _213284) ^ [_243576] : [-(plus(_243576, n4) = succ(succ(succ(succ(_243576)))))], (750 ^ _213284) ^ [_243665] : [-(plus(n4, _243665) = succ(succ(succ(succ(_243665)))))], (752 ^ _213284) ^ [_243754] : [-(plus(_243754, n5) = succ(succ(succ(succ(succ(_243754))))))], (754 ^ _213284) ^ [_243845] : [-(plus(n5, _243845) = succ(succ(succ(succ(succ(_243845))))))], (756 ^ _213284) ^ [_243936] : [-(minus(_243936, n1) = pred(_243936))], (758 ^ _213284) ^ [_244019] : [-(pred(succ(_244019)) = _244019)], (760 ^ _213284) ^ [_244101] : [-(succ(pred(_244101)) = _244101)], (762 ^ _213284) ^ [_244241, _244243] : [leq(succ(_244243), succ(_244241)), -(leq(_244243, _244241))], (768 ^ _213284) ^ [_244411, _244413] : [leq(_244413, _244411), -(leq(succ(_244413), succ(_244411)))], (774 ^ _213284) ^ [_244631, _244633] : [leq(succ(_244633), _244631), -(gt(_244631, _244633))], (780 ^ _213284) ^ [_244845, _244847] : [leq(minus(_244847, _244845), _244847), -(leq(n0, _244845))], (786 ^ _213284) ^ [_245074, _245076, _245078, _245080] : [-(a_select3(tptp_update3(_245080, _245078, _245076, _245074), _245078, _245076) = _245074)], (788 ^ _213284) ^ [_245266, _245268, _245270, _245272, _245274, _245276, _245278] : [-(a_select3(tptp_update3(_245270, _245278, _245276, _245266), _245274, _245272) = _245268), -(_245278 = _245274), _245276 = _245272, a_select3(_245270, _245274, _245272) = _245268], (802 ^ _213284) ^ [_245809, _245811, _245813, _245815, _245817, _245819] : [-(a_select3(tptp_update3(_245811, _245815, _245813, _245809), _245819, _245817) = _245809), 807 ^ _213284 : [(808 ^ _213284) ^ [] : [-(leq(n0, 805 ^ [_245809, _245811, _245813, _245815, _245817, _245819]))], (810 ^ _213284) ^ [] : [-(leq(n0, 806 ^ [_245809, _245811, _245813, _245815, _245817, _245819]))], (812 ^ _213284) ^ [] : [-(leq(805 ^ [_245809, _245811, _245813, _245815, _245817, _245819], _245815))], (814 ^ _213284) ^ [] : [-(leq(806 ^ [_245809, _245811, _245813, _245815, _245817, _245819], _245813))], (816 ^ _213284) ^ [] : [a_select3(_245811, 805 ^ [_245809, _245811, _245813, _245815, _245817, _245819], 806 ^ [_245809, _245811, _245813, _245815, _245817, _245819]) = _245809]], leq(n0, _245819), leq(_245819, _245815), leq(n0, _245817), leq(_245817, _245813)], (834 ^ _213284) ^ [_247151, _247153, _247155] : [-(a_select2(tptp_update2(_247155, _247153, _247151), _247153) = _247151)], (836 ^ _213284) ^ [_247311, _247313, _247315, _247317, _247319] : [-(a_select2(tptp_update2(_247315, _247319, _247311), _247317) = _247313), -(_247319 = _247317), a_select2(_247315, _247317) = _247313], (865 ^ _213284) ^ [] : [-(true)], (867 ^ _213284) ^ [] : [def = use], (846 ^ _213284) ^ [_247691, _247693, _247695, _247697] : [-(a_select2(tptp_update2(_247693, _247695, _247691), _247697) = _247691), 850 ^ _213284 : [(851 ^ _213284) ^ [] : [-(leq(n0, 849 ^ [_247691, _247693, _247695, _247697]))], (853 ^ _213284) ^ [] : [-(leq(849 ^ [_247691, _247693, _247695, _247697], _247695))], (855 ^ _213284) ^ [] : [a_select2(_247693, 849 ^ [_247691, _247693, _247695, _247697]) = _247691]], leq(n0, _247697), leq(_247697, _247695)]], input).
% 0.33/1.38  ncf('1',plain,[a_select3(u_defuse, 1144 ^ [], 1145 ^ []) = use],start(1155 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(a_select3(u_defuse, 1144 ^ [], 1145 ^ []) = use), leq(n0, 1144 ^ []), leq(n0, 1145 ^ []), leq(1144 ^ [], n2), leq(1145 ^ [], n998)],extension(1109 ^ 1,bind([[_255045, _255047], [1145 ^ [], 1144 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(leq(n0, 1144 ^ []))],extension(1147 ^ 2)).
% 0.33/1.38  ncf('1.1.2',plain,[-(leq(n0, 1145 ^ []))],extension(1149 ^ 2)).
% 0.33/1.38  ncf('1.1.3',plain,[-(leq(1144 ^ [], n2))],extension(1151 ^ 2)).
% 0.33/1.38  ncf('1.1.4',plain,[-(leq(1145 ^ [], n998))],extension(1153 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------