%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV200+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SWV200+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 03:04:28 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(1153 ^ _216503) ^ [] : [-(leq(n0, 1150 ^ []))], (1155 ^ _216503) ^ [] : [-(leq(n0, 1151 ^ []))], (1157 ^ _216503) ^ [] : [-(leq(1150 ^ [], n2))], (1159 ^ _216503) ^ [] : [-(leq(1151 ^ [], pred(pv5)))], (1179 ^ _216503) ^ [] : [a_select3(u_defuse, 1150 ^ [], 1151 ^ []) = use], (1161 ^ _216503) ^ [] : [n0 = 1150 ^ [], pv5 = 1151 ^ []], (1167 ^ _216503) ^ [] : [n1 = 1150 ^ [], pv5 = 1151 ^ []], (1173 ^ _216503) ^ [] : [n2 = 1150 ^ [], pv5 = 1151 ^ []], (1055 ^ _216503) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _216503) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _216503) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _216503) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _216503) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _216503) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _216503) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _216503) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _216503) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _216503) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _216503) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _216503) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _216503) ^ [] : [-(leq(n0, pv5))], (1111 ^ _216503) ^ [] : [-(leq(pv5, n998))], (1113 ^ _216503) ^ [] : [-(gt(pv5, n0))], (1115 ^ _216503) ^ [_258423, _258425] : [-(a_select3(u_defuse, _258425, _258423) = use), leq(n0, _258425), leq(n0, _258423), leq(_258425, n2), leq(_258423, pred(pv5))], (1133 ^ _216503) ^ [_258888, _258890] : [-(a_select3(z_defuse, _258890, _258888) = use), leq(n0, _258890), leq(n0, _258888), leq(_258890, n2), leq(_258888, pred(pv5))], (2 ^ _216503) ^ [_216647] : [-(_216647 = _216647)], (4 ^ _216503) ^ [_216754, _216756] : [_216756 = _216754, -(_216754 = _216756)], (10 ^ _216503) ^ [_216958, _216960, _216962] : [-(_216962 = _216958), _216962 = _216960, _216960 = _216958], (20 ^ _216503) ^ [_217299, _217301, _217303, _217305] : [-(lt(_217303, _217299)), lt(_217305, _217301), _217305 = _217303, _217301 = _217299], (34 ^ _216503) ^ [_217743, _217745, _217747, _217749] : [-(geq(_217747, _217743)), geq(_217749, _217745), _217749 = _217747, _217745 = _217743], (48 ^ _216503) ^ [_218187, _218189, _218191, _218193] : [-(gt(_218191, _218187)), gt(_218193, _218189), _218193 = _218191, _218189 = _218187], (62 ^ _216503) ^ [_218611, _218613, _218615, _218617] : [-(leq(_218615, _218611)), leq(_218617, _218613), _218617 = _218615, _218613 = _218611], (76 ^ _216503) ^ [_219067, _219069, _219071, _219073] : [-(uniform_int_rnd(_219073, _219069) = uniform_int_rnd(_219071, _219067)), _219073 = _219071, _219069 = _219067], (86 ^ _216503) ^ [_219426, _219428, _219430, _219432] : [-(tptp_const_array1(_219432, _219428) = tptp_const_array1(_219430, _219426)), _219432 = _219430, _219428 = _219426], (96 ^ _216503) ^ [_219813, _219815, _219817, _219819, _219821, _219823] : [-(tptp_const_array2(_219823, _219819, _219815) = tptp_const_array2(_219821, _219817, _219813)), _219823 = _219821, _219819 = _219817, _219815 = _219813], (110 ^ _216503) ^ [_220301, _220303, _220305, _220307] : [-(dim(_220307, _220303) = dim(_220305, _220301)), _220307 = _220305, _220303 = _220301], (120 ^ _216503) ^ [_220632, _220634] : [_220634 = _220632, -(inv(_220634) = inv(_220632))], (126 ^ _216503) ^ [_220878, _220880, _220882, _220884] : [-(tptp_msub(_220884, _220880) = tptp_msub(_220882, _220878)), _220884 = _220882, _220880 = _220878], (136 ^ _216503) ^ [_221237, _221239, _221241, _221243] : [-(tptp_madd(_221243, _221239) = tptp_madd(_221241, _221237)), _221243 = _221241, _221239 = _221237], (146 ^ _216503) ^ [_221596, _221598, _221600, _221602] : [-(tptp_mmul(_221602, _221598) = tptp_mmul(_221600, _221596)), _221602 = _221600, _221598 = _221596], (156 ^ _216503) ^ [_221927, _221929] : [_221929 = _221927, -(trans(_221929) = trans(_221927))], (162 ^ _216503) ^ [_222201, _222203, _222205, _222207, _222209, _222211] : [-(sum(_222211, _222207, _222203) = sum(_222209, _222205, _222201)), _222211 = _222209, _222207 = _222205, _222203 = _222201], (176 ^ _216503) ^ [_222689, _222691, _222693, _222695] : [-(plus(_222695, _222691) = plus(_222693, _222689)), _222695 = _222693, _222691 = _222689], (186 ^ _216503) ^ [_223048, _223050, _223052, _223054] : [-(minus(_223054, _223050) = minus(_223052, _223048)), _223054 = _223052, _223050 = _223048], (196 ^ _216503) ^ [_223463, _223465, _223467, _223469, _223471, _223473, _223475, _223477] : [-(tptp_update3(_223477, _223473, _223469, _223465) = tptp_update3(_223475, _223471, _223467, _223463)), _223477 = _223475, _223473 = _223471, _223469 = _223467, _223465 = _223463], (214 ^ _216503) ^ [_224124, _224126, _224128, _224130, _224132, _224134] : [-(tptp_update2(_224134, _224130, _224126) = tptp_update2(_224132, _224128, _224124)), _224134 = _224132, _224130 = _224128, _224126 = _224124], (228 ^ _216503) ^ [_224584, _224586] : [_224586 = _224584, -(succ(_224586) = succ(_224584))], (234 ^ _216503) ^ [_224830, _224832, _224834, _224836] : [-(a_select2(_224836, _224832) = a_select2(_224834, _224830)), _224836 = _224834, _224832 = _224830], (244 ^ _216503) ^ [_225161, _225163] : [_225163 = _225161, -(pred(_225163) = pred(_225161))], (250 ^ _216503) ^ [_225415, _225417, _225419, _225421, _225423, _225425] : [-(a_select3(_225425, _225421, _225417) = a_select3(_225423, _225419, _225415)), _225425 = _225423, _225421 = _225419, _225417 = _225415], (869 ^ _216503) ^ [] : [-(gt(n5, n4))], (871 ^ _216503) ^ [] : [-(gt(n998, n4))], (873 ^ _216503) ^ [] : [-(gt(n998, n5))], (875 ^ _216503) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _216503) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _216503) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _216503) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _216503) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _216503) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _216503) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _216503) ^ [] : [-(gt(n4, n0))], (891 ^ _216503) ^ [] : [-(gt(n5, n0))], (893 ^ _216503) ^ [] : [-(gt(n998, n0))], (895 ^ _216503) ^ [] : [-(gt(n1, n0))], (897 ^ _216503) ^ [] : [-(gt(n2, n0))], (899 ^ _216503) ^ [] : [-(gt(n3, n0))], (901 ^ _216503) ^ [] : [-(gt(n4, n1))], (903 ^ _216503) ^ [] : [-(gt(n5, n1))], (905 ^ _216503) ^ [] : [-(gt(n998, n1))], (907 ^ _216503) ^ [] : [-(gt(n2, n1))], (909 ^ _216503) ^ [] : [-(gt(n3, n1))], (911 ^ _216503) ^ [] : [-(gt(n4, n2))], (913 ^ _216503) ^ [] : [-(gt(n5, n2))], (915 ^ _216503) ^ [] : [-(gt(n998, n2))], (917 ^ _216503) ^ [] : [-(gt(n3, n2))], (919 ^ _216503) ^ [] : [-(gt(n4, n3))], (921 ^ _216503) ^ [] : [-(gt(n5, n3))], (923 ^ _216503) ^ [] : [-(gt(n998, n3))], (925 ^ _216503) ^ [_253384] : [leq(n0, _253384), leq(_253384, n4), -(_253384 = n0), -(_253384 = n1), -(_253384 = n2), -(_253384 = n3), -(_253384 = n4)], (951 ^ _216503) ^ [_254005] : [leq(n0, _254005), leq(_254005, n5), -(_254005 = n0), -(_254005 = n1), -(_254005 = n2), -(_254005 = n3), -(_254005 = n4), -(_254005 = n5)], (981 ^ _216503) ^ [_254712] : [-(_254712 = n0), leq(n0, _254712), leq(_254712, n0)], (991 ^ _216503) ^ [_254987] : [leq(n0, _254987), leq(_254987, n1), -(_254987 = n0), -(_254987 = n1)], (1005 ^ _216503) ^ [_255350] : [leq(n0, _255350), leq(_255350, n2), -(_255350 = n0), -(_255350 = n1), -(_255350 = n2)], (1045 ^ _216503) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _216503) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _216503) ^ [] : [-(succ(n0) = n1)], (1051 ^ _216503) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _216503) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _216503) ^ [_255799] : [leq(n0, _255799), leq(_255799, n3), -(_255799 = n0), -(_255799 = n1), -(_255799 = n2), -(_255799 = n3)], (264 ^ _216503) ^ [_225975, _225977] : [-(gt(_225977, _225975)), -(gt(_225975, _225977)), -(_225977 = _225975)], (274 ^ _216503) ^ [_226290, _226292, _226294] : [-(gt(_226294, _226290)), gt(_226294, _226292), gt(_226292, _226290)], (284 ^ _216503) ^ [_226569] : [gt(_226569, _226569)], (286 ^ _216503) ^ [_226647] : [-(leq(_226647, _226647))], (288 ^ _216503) ^ [_226768, _226770, _226772] : [-(leq(_226772, _226768)), leq(_226772, _226770), leq(_226770, _226768)], (298 ^ _216503) ^ [_227106, _227108] : [lt(_227108, _227106), -(gt(_227106, _227108))], (304 ^ _216503) ^ [_227268, _227270] : [gt(_227268, _227270), -(lt(_227270, _227268))], (310 ^ _216503) ^ [_227509, _227511] : [geq(_227511, _227509), -(leq(_227509, _227511))], (316 ^ _216503) ^ [_227671, _227673] : [leq(_227671, _227673), -(geq(_227673, _227671))], (322 ^ _216503) ^ [_227883, _227885] : [gt(_227883, _227885), -(leq(_227885, _227883))], (328 ^ _216503) ^ [_228093, _228095] : [-(gt(_228093, _228095)), leq(_228095, _228093), -(_228095 = _228093)], (338 ^ _216503) ^ [_228424, _228426] : [leq(_228426, pred(_228424)), -(gt(_228424, _228426))], (344 ^ _216503) ^ [_228590, _228592] : [gt(_228590, _228592), -(leq(_228592, pred(_228590)))], (350 ^ _216503) ^ [_228777] : [-(gt(succ(_228777), _228777))], (352 ^ _216503) ^ [_228886, _228888] : [leq(_228888, _228886), -(leq(_228888, succ(_228886)))], (358 ^ _216503) ^ [_229129, _229131] : [leq(_229131, _229129), -(gt(succ(_229129), _229131))], (364 ^ _216503) ^ [_229295, _229297] : [gt(succ(_229295), _229297), -(leq(_229297, _229295))], (370 ^ _216503) ^ [_229511, _229513] : [leq(n0, _229513), -(leq(uniform_int_rnd(_229511, _229513), _229513))], (376 ^ _216503) ^ [_229727, _229729] : [leq(n0, _229729), -(leq(n0, uniform_int_rnd(_229727, _229729)))], (382 ^ _216503) ^ [_229971, _229973, _229975, _229977] : [-(a_select2(tptp_const_array1(dim(_229975, _229973), _229971), _229977) = _229971), leq(_229975, _229977), leq(_229977, _229973)], (392 ^ _216503) ^ [_230378, _230380, _230382, _230384, _230386, _230388, _230390] : [-(a_select3(tptp_const_array2(dim(_230388, _230386), dim(_230382, _230380), _230378), _230390, _230384) = _230378), leq(_230388, _230390), leq(_230390, _230386), leq(_230382, _230384), leq(_230384, _230380)], (410 ^ _216503) ^ [_230973, _230975] : [413 ^ _216503 : [(414 ^ _216503) ^ [] : [-(leq(n0, 411 ^ [_230973, _230975]))], (416 ^ _216503) ^ [] : [-(leq(411 ^ [_230973, _230975], _230973))], (418 ^ _216503) ^ [] : [-(leq(n0, 412 ^ [_230973, _230975]))], (420 ^ _216503) ^ [] : [-(leq(412 ^ [_230973, _230975], _230973))], (422 ^ _216503) ^ [] : [a_select3(_230975, 411 ^ [_230973, _230975], 412 ^ [_230973, _230975]) = a_select3(_230975, 412 ^ [_230973, _230975], 411 ^ [_230973, _230975])]], 423 ^ _216503 : [(424 ^ _216503) ^ [_231730, _231732] : [-(a_select3(trans(_230975), _231732, _231730) = a_select3(trans(_230975), _231730, _231732)), leq(n0, _231732), leq(_231732, _230973), leq(n0, _231730), leq(_231730, _230973)]]], (442 ^ _216503) ^ [_232277, _232279] : [445 ^ _216503 : [(446 ^ _216503) ^ [] : [-(leq(n0, 443 ^ [_232277, _232279]))], (448 ^ _216503) ^ [] : [-(leq(443 ^ [_232277, _232279], _232277))], (450 ^ _216503) ^ [] : [-(leq(n0, 444 ^ [_232277, _232279]))], (452 ^ _216503) ^ [] : [-(leq(444 ^ [_232277, _232279], _232277))], (454 ^ _216503) ^ [] : [a_select3(_232279, 443 ^ [_232277, _232279], 444 ^ [_232277, _232279]) = a_select3(_232279, 444 ^ [_232277, _232279], 443 ^ [_232277, _232279])]], 455 ^ _216503 : [(456 ^ _216503) ^ [_233034, _233036] : [-(a_select3(inv(_232279), _233036, _233034) = a_select3(inv(_232279), _233034, _233036)), leq(n0, _233036), leq(_233036, _232277), leq(n0, _233034), leq(_233034, _232277)]]], (474 ^ _216503) ^ [_233581, _233583] : [477 ^ _216503 : [(478 ^ _216503) ^ [] : [-(leq(n0, 475 ^ [_233581, _233583]))], (480 ^ _216503) ^ [] : [-(leq(475 ^ [_233581, _233583], _233581))], (482 ^ _216503) ^ [] : [-(leq(n0, 476 ^ [_233581, _233583]))], (484 ^ _216503) ^ [] : [-(leq(476 ^ [_233581, _233583], _233581))], (486 ^ _216503) ^ [] : [a_select3(_233583, 475 ^ [_233581, _233583], 476 ^ [_233581, _233583]) = a_select3(_233583, 476 ^ [_233581, _233583], 475 ^ [_233581, _233583])]], 487 ^ _216503 : [(488 ^ _216503) ^ [_234394, _234396, _234398, _234400] : [-(a_select3(tptp_update3(_233583, _234396, _234396, _234394), _234400, _234398) = a_select3(tptp_update3(_233583, _234396, _234396, _234394), _234398, _234400)), leq(n0, _234400), leq(_234400, _233581), leq(n0, _234398), leq(_234398, _233581), leq(n0, _234396), leq(_234396, _233581)]]], (514 ^ _216503) ^ [_235213, _235215, _235217] : [519 ^ _216503 : [(520 ^ _216503) ^ [] : [-(leq(n0, 517 ^ [_235213, _235215, _235217]))], (522 ^ _216503) ^ [] : [-(leq(517 ^ [_235213, _235215, _235217], _235213))], (524 ^ _216503) ^ [] : [-(leq(n0, 518 ^ [_235213, _235215, _235217]))], (526 ^ _216503) ^ [] : [-(leq(518 ^ [_235213, _235215, _235217], _235213))], (528 ^ _216503) ^ [] : [a_select3(_235217, 517 ^ [_235213, _235215, _235217], 518 ^ [_235213, _235215, _235217]) = a_select3(_235217, 518 ^ [_235213, _235215, _235217], 517 ^ [_235213, _235215, _235217])]], 531 ^ _216503 : [(532 ^ _216503) ^ [] : [-(leq(n0, 529 ^ [_235213, _235215, _235217]))], (534 ^ _216503) ^ [] : [-(leq(529 ^ [_235213, _235215, _235217], _235213))], (536 ^ _216503) ^ [] : [-(leq(n0, 530 ^ [_235213, _235215, _235217]))], (538 ^ _216503) ^ [] : [-(leq(530 ^ [_235213, _235215, _235217], _235213))], (540 ^ _216503) ^ [] : [a_select3(_235215, 529 ^ [_235213, _235215, _235217], 530 ^ [_235213, _235215, _235217]) = a_select3(_235215, 530 ^ [_235213, _235215, _235217], 529 ^ [_235213, _235215, _235217])]], 541 ^ _216503 : [(542 ^ _216503) ^ [_236722, _236724] : [-(a_select3(tptp_madd(_235217, _235215), _236724, _236722) = a_select3(tptp_madd(_235217, _235215), _236722, _236724)), leq(n0, _236724), leq(_236724, _235213), leq(n0, _236722), leq(_236722, _235213)]]], (560 ^ _216503) ^ [_237308, _237310, _237312] : [565 ^ _216503 : [(566 ^ _216503) ^ [] : [-(leq(n0, 563 ^ [_237308, _237310, _237312]))], (568 ^ _216503) ^ [] : [-(leq(563 ^ [_237308, _237310, _237312], _237308))], (570 ^ _216503) ^ [] : [-(leq(n0, 564 ^ [_237308, _237310, _237312]))], (572 ^ _216503) ^ [] : [-(leq(564 ^ [_237308, _237310, _237312], _237308))], (574 ^ _216503) ^ [] : [a_select3(_237312, 563 ^ [_237308, _237310, _237312], 564 ^ [_237308, _237310, _237312]) = a_select3(_237312, 564 ^ [_237308, _237310, _237312], 563 ^ [_237308, _237310, _237312])]], 577 ^ _216503 : [(578 ^ _216503) ^ [] : [-(leq(n0, 575 ^ [_237308, _237310, _237312]))], (580 ^ _216503) ^ [] : [-(leq(575 ^ [_237308, _237310, _237312], _237308))], (582 ^ _216503) ^ [] : [-(leq(n0, 576 ^ [_237308, _237310, _237312]))], (584 ^ _216503) ^ [] : [-(leq(576 ^ [_237308, _237310, _237312], _237308))], (586 ^ _216503) ^ [] : [a_select3(_237310, 575 ^ [_237308, _237310, _237312], 576 ^ [_237308, _237310, _237312]) = a_select3(_237310, 576 ^ [_237308, _237310, _237312], 575 ^ [_237308, _237310, _237312])]], 587 ^ _216503 : [(588 ^ _216503) ^ [_238817, _238819] : [-(a_select3(tptp_msub(_237312, _237310), _238819, _238817) = a_select3(tptp_msub(_237312, _237310), _238817, _238819)), leq(n0, _238819), leq(_238819, _237308), leq(n0, _238817), leq(_238817, _237308)]]], (606 ^ _216503) ^ [_239403, _239405, _239407] : [609 ^ _216503 : [(610 ^ _216503) ^ [] : [-(leq(n0, 607 ^ [_239403, _239405, _239407]))], (612 ^ _216503) ^ [] : [-(leq(607 ^ [_239403, _239405, _239407], _239403))], (614 ^ _216503) ^ [] : [-(leq(n0, 608 ^ [_239403, _239405, _239407]))], (616 ^ _216503) ^ [] : [-(leq(608 ^ [_239403, _239405, _239407], _239403))], (618 ^ _216503) ^ [] : [a_select3(_239405, 607 ^ [_239403, _239405, _239407], 608 ^ [_239403, _239405, _239407]) = a_select3(_239405, 608 ^ [_239403, _239405, _239407], 607 ^ [_239403, _239405, _239407])]], 619 ^ _216503 : [(620 ^ _216503) ^ [_240216, _240218] : [-(a_select3(tptp_mmul(_239407, tptp_mmul(_239405, trans(_239407))), _240218, _240216) = a_select3(tptp_mmul(_239407, tptp_mmul(_239405, trans(_239407))), _240216, _240218)), leq(n0, _240218), leq(_240218, _239403), leq(n0, _240216), leq(_240216, _239403)]]], (638 ^ _216503) ^ [_240835, _240837, _240839, _240841] : [641 ^ _216503 : [(642 ^ _216503) ^ [] : [-(leq(n0, 639 ^ [_240835, _240837, _240839, _240841]))], (644 ^ _216503) ^ [] : [-(leq(639 ^ [_240835, _240837, _240839, _240841], _240835))], (646 ^ _216503) ^ [] : [-(leq(n0, 640 ^ [_240835, _240837, _240839, _240841]))], (648 ^ _216503) ^ [] : [-(leq(640 ^ [_240835, _240837, _240839, _240841], _240835))], (650 ^ _216503) ^ [] : [a_select3(_240839, 639 ^ [_240835, _240837, _240839, _240841], 640 ^ [_240835, _240837, _240839, _240841]) = a_select3(_240839, 640 ^ [_240835, _240837, _240839, _240841], 639 ^ [_240835, _240837, _240839, _240841])]], 651 ^ _216503 : [(652 ^ _216503) ^ [_241692, _241694] : [-(a_select3(tptp_mmul(_240841, tptp_mmul(_240839, trans(_240841))), _241694, _241692) = a_select3(tptp_mmul(_240841, tptp_mmul(_240839, trans(_240841))), _241692, _241694)), leq(n0, _241694), leq(_241694, _240837), leq(n0, _241692), leq(_241692, _240837)]]], (670 ^ _216503) ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401] : [675 ^ _216503 : [(676 ^ _216503) ^ [] : [-(leq(n0, 673 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (678 ^ _216503) ^ [] : [-(leq(673 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242387))], (680 ^ _216503) ^ [] : [-(leq(n0, 674 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (682 ^ _216503) ^ [] : [-(leq(674 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242387))], (684 ^ _216503) ^ [] : [a_select3(_242395, 673 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 674 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]) = a_select3(_242395, 674 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 673 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401])]], 689 ^ _216503 : [(690 ^ _216503) ^ [] : [-(leq(n0, 687 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (692 ^ _216503) ^ [] : [-(leq(687 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242389))], (694 ^ _216503) ^ [] : [-(leq(n0, 688 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (696 ^ _216503) ^ [] : [-(leq(688 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242389))], (698 ^ _216503) ^ [] : [a_select3(_242401, 687 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 688 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]) = a_select3(_242401, 688 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 687 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401])]], 701 ^ _216503 : [(702 ^ _216503) ^ [] : [-(leq(n0, 699 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (704 ^ _216503) ^ [] : [-(leq(699 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242389))], (706 ^ _216503) ^ [] : [-(leq(n0, 700 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]))], (708 ^ _216503) ^ [] : [-(leq(700 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], _242389))], (710 ^ _216503) ^ [] : [a_select3(_242391, 699 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 700 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401]) = a_select3(_242391, 700 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401], 699 ^ [_242387, _242389, _242391, _242393, _242395, _242397, _242399, _242401])]], 711 ^ _216503 : [(712 ^ _216503) ^ [_245315, _245317] : [-(a_select3(tptp_madd(_242401, tptp_mmul(_242399, tptp_mmul(tptp_madd(tptp_mmul(_242397, tptp_mmul(_242395, trans(_242397))), tptp_mmul(_242393, tptp_mmul(_242391, trans(_242393)))), trans(_242399)))), _245317, _245315) = a_select3(tptp_madd(_242401, tptp_mmul(_242399, tptp_mmul(tptp_madd(tptp_mmul(_242397, tptp_mmul(_242395, trans(_242397))), tptp_mmul(_242393, tptp_mmul(_242391, trans(_242393)))), trans(_242399)))), _245315, _245317)), leq(n0, _245317), leq(_245317, _242389), leq(n0, _245315), leq(_245315, _242389)]]], (730 ^ _216503) ^ [_246068] : [-(sum(n0, tptp_minus_1, _246068) = n0)], (732 ^ _216503) ^ [_246150] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246150))], (734 ^ _216503) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _216503) ^ [_246285] : [-(plus(_246285, n1) = succ(_246285))], (738 ^ _216503) ^ [_246368] : [-(plus(n1, _246368) = succ(_246368))], (740 ^ _216503) ^ [_246451] : [-(plus(_246451, n2) = succ(succ(_246451)))], (742 ^ _216503) ^ [_246536] : [-(plus(n2, _246536) = succ(succ(_246536)))], (744 ^ _216503) ^ [_246621] : [-(plus(_246621, n3) = succ(succ(succ(_246621))))], (746 ^ _216503) ^ [_246708] : [-(plus(n3, _246708) = succ(succ(succ(_246708))))], (748 ^ _216503) ^ [_246795] : [-(plus(_246795, n4) = succ(succ(succ(succ(_246795)))))], (750 ^ _216503) ^ [_246884] : [-(plus(n4, _246884) = succ(succ(succ(succ(_246884)))))], (752 ^ _216503) ^ [_246973] : [-(plus(_246973, n5) = succ(succ(succ(succ(succ(_246973))))))], (754 ^ _216503) ^ [_247064] : [-(plus(n5, _247064) = succ(succ(succ(succ(succ(_247064))))))], (756 ^ _216503) ^ [_247155] : [-(minus(_247155, n1) = pred(_247155))], (758 ^ _216503) ^ [_247238] : [-(pred(succ(_247238)) = _247238)], (760 ^ _216503) ^ [_247320] : [-(succ(pred(_247320)) = _247320)], (762 ^ _216503) ^ [_247460, _247462] : [leq(succ(_247462), succ(_247460)), -(leq(_247462, _247460))], (768 ^ _216503) ^ [_247630, _247632] : [leq(_247632, _247630), -(leq(succ(_247632), succ(_247630)))], (774 ^ _216503) ^ [_247850, _247852] : [leq(succ(_247852), _247850), -(gt(_247850, _247852))], (780 ^ _216503) ^ [_248064, _248066] : [leq(minus(_248066, _248064), _248066), -(leq(n0, _248064))], (786 ^ _216503) ^ [_248293, _248295, _248297, _248299] : [-(a_select3(tptp_update3(_248299, _248297, _248295, _248293), _248297, _248295) = _248293)], (788 ^ _216503) ^ [_248485, _248487, _248489, _248491, _248493, _248495, _248497] : [-(a_select3(tptp_update3(_248489, _248497, _248495, _248485), _248493, _248491) = _248487), -(_248497 = _248493), _248495 = _248491, a_select3(_248489, _248493, _248491) = _248487], (802 ^ _216503) ^ [_249028, _249030, _249032, _249034, _249036, _249038] : [-(a_select3(tptp_update3(_249030, _249034, _249032, _249028), _249038, _249036) = _249028), 807 ^ _216503 : [(808 ^ _216503) ^ [] : [-(leq(n0, 805 ^ [_249028, _249030, _249032, _249034, _249036, _249038]))], (810 ^ _216503) ^ [] : [-(leq(n0, 806 ^ [_249028, _249030, _249032, _249034, _249036, _249038]))], (812 ^ _216503) ^ [] : [-(leq(805 ^ [_249028, _249030, _249032, _249034, _249036, _249038], _249034))], (814 ^ _216503) ^ [] : [-(leq(806 ^ [_249028, _249030, _249032, _249034, _249036, _249038], _249032))], (816 ^ _216503) ^ [] : [a_select3(_249030, 805 ^ [_249028, _249030, _249032, _249034, _249036, _249038], 806 ^ [_249028, _249030, _249032, _249034, _249036, _249038]) = _249028]], leq(n0, _249038), leq(_249038, _249034), leq(n0, _249036), leq(_249036, _249032)], (834 ^ _216503) ^ [_250370, _250372, _250374] : [-(a_select2(tptp_update2(_250374, _250372, _250370), _250372) = _250370)], (836 ^ _216503) ^ [_250530, _250532, _250534, _250536, _250538] : [-(a_select2(tptp_update2(_250534, _250538, _250530), _250536) = _250532), -(_250538 = _250536), a_select2(_250534, _250536) = _250532], (865 ^ _216503) ^ [] : [-(true)], (867 ^ _216503) ^ [] : [def = use], (846 ^ _216503) ^ [_250910, _250912, _250914, _250916] : [-(a_select2(tptp_update2(_250912, _250914, _250910), _250916) = _250910), 850 ^ _216503 : [(851 ^ _216503) ^ [] : [-(leq(n0, 849 ^ [_250910, _250912, _250914, _250916]))], (853 ^ _216503) ^ [] : [-(leq(849 ^ [_250910, _250912, _250914, _250916], _250914))], (855 ^ _216503) ^ [] : [a_select2(_250912, 849 ^ [_250910, _250912, _250914, _250916]) = _250910]], leq(n0, _250916), leq(_250916, _250914)]], input).
% 0.35/1.37  ncf('1',plain,[a_select3(u_defuse, 1150 ^ [], 1151 ^ []) = use],start(1179 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(a_select3(u_defuse, 1150 ^ [], 1151 ^ []) = use), leq(n0, 1150 ^ []), leq(n0, 1151 ^ []), leq(1150 ^ [], n2), leq(1151 ^ [], pred(pv5))],extension(1115 ^ 1,bind([[_258423, _258425], [1151 ^ [], 1150 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(leq(n0, 1150 ^ []))],extension(1153 ^ 2)).
% 0.35/1.37  ncf('1.1.2',plain,[-(leq(n0, 1151 ^ []))],extension(1155 ^ 2)).
% 0.35/1.37  ncf('1.1.3',plain,[-(leq(1150 ^ [], n2))],extension(1157 ^ 2)).
% 0.35/1.37  ncf('1.1.4',plain,[-(leq(1151 ^ [], pred(pv5)))],extension(1159 ^ 2)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------