%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 0.34s 1.38s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV210+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 02:25:28 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1147 ^ _213256) ^ [] : [-(leq(n0, 1144 ^ []))], (1149 ^ _213256) ^ [] : [-(leq(n0, 1145 ^ []))], (1151 ^ _213256) ^ [] : [-(leq(1144 ^ [], n2))], (1153 ^ _213256) ^ [] : [-(leq(1145 ^ [], n998))], (1155 ^ _213256) ^ [] : [a_select3(z_defuse, 1144 ^ [], 1145 ^ []) = use], (1055 ^ _213256) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _213256) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _213256) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _213256) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _213256) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _213256) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _213256) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _213256) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _213256) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _213256) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _213256) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _213256) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _213256) ^ [_255017, _255019] : [-(a_select3(u_defuse, _255019, _255017) = use), leq(n0, _255019), leq(n0, _255017), leq(_255019, n2), leq(_255017, n998)], (1127 ^ _213256) ^ [_255482, _255484] : [-(a_select3(z_defuse, _255484, _255482) = use), leq(n0, _255484), leq(n0, _255482), leq(_255484, n2), leq(_255482, n998)], (2 ^ _213256) ^ [_213400] : [-(_213400 = _213400)], (4 ^ _213256) ^ [_213507, _213509] : [_213509 = _213507, -(_213507 = _213509)], (10 ^ _213256) ^ [_213711, _213713, _213715] : [-(_213715 = _213711), _213715 = _213713, _213713 = _213711], (20 ^ _213256) ^ [_214052, _214054, _214056, _214058] : [-(lt(_214056, _214052)), lt(_214058, _214054), _214058 = _214056, _214054 = _214052], (34 ^ _213256) ^ [_214496, _214498, _214500, _214502] : [-(geq(_214500, _214496)), geq(_214502, _214498), _214502 = _214500, _214498 = _214496], (48 ^ _213256) ^ [_214940, _214942, _214944, _214946] : [-(gt(_214944, _214940)), gt(_214946, _214942), _214946 = _214944, _214942 = _214940], (62 ^ _213256) ^ [_215364, _215366, _215368, _215370] : [-(leq(_215368, _215364)), leq(_215370, _215366), _215370 = _215368, _215366 = _215364], (76 ^ _213256) ^ [_215820, _215822, _215824, _215826] : [-(uniform_int_rnd(_215826, _215822) = uniform_int_rnd(_215824, _215820)), _215826 = _215824, _215822 = _215820], (86 ^ _213256) ^ [_216179, _216181, _216183, _216185] : [-(tptp_const_array1(_216185, _216181) = tptp_const_array1(_216183, _216179)), _216185 = _216183, _216181 = _216179], (96 ^ _213256) ^ [_216566, _216568, _216570, _216572, _216574, _216576] : [-(tptp_const_array2(_216576, _216572, _216568) = tptp_const_array2(_216574, _216570, _216566)), _216576 = _216574, _216572 = _216570, _216568 = _216566], (110 ^ _213256) ^ [_217054, _217056, _217058, _217060] : [-(dim(_217060, _217056) = dim(_217058, _217054)), _217060 = _217058, _217056 = _217054], (120 ^ _213256) ^ [_217385, _217387] : [_217387 = _217385, -(inv(_217387) = inv(_217385))], (126 ^ _213256) ^ [_217631, _217633, _217635, _217637] : [-(tptp_msub(_217637, _217633) = tptp_msub(_217635, _217631)), _217637 = _217635, _217633 = _217631], (136 ^ _213256) ^ [_217990, _217992, _217994, _217996] : [-(tptp_madd(_217996, _217992) = tptp_madd(_217994, _217990)), _217996 = _217994, _217992 = _217990], (146 ^ _213256) ^ [_218349, _218351, _218353, _218355] : [-(tptp_mmul(_218355, _218351) = tptp_mmul(_218353, _218349)), _218355 = _218353, _218351 = _218349], (156 ^ _213256) ^ [_218680, _218682] : [_218682 = _218680, -(trans(_218682) = trans(_218680))], (162 ^ _213256) ^ [_218954, _218956, _218958, _218960, _218962, _218964] : [-(sum(_218964, _218960, _218956) = sum(_218962, _218958, _218954)), _218964 = _218962, _218960 = _218958, _218956 = _218954], (176 ^ _213256) ^ [_219442, _219444, _219446, _219448] : [-(plus(_219448, _219444) = plus(_219446, _219442)), _219448 = _219446, _219444 = _219442], (186 ^ _213256) ^ [_219773, _219775] : [_219775 = _219773, -(pred(_219775) = pred(_219773))], (192 ^ _213256) ^ [_220019, _220021, _220023, _220025] : [-(minus(_220025, _220021) = minus(_220023, _220019)), _220025 = _220023, _220021 = _220019], (202 ^ _213256) ^ [_220434, _220436, _220438, _220440, _220442, _220444, _220446, _220448] : [-(tptp_update3(_220448, _220444, _220440, _220436) = tptp_update3(_220446, _220442, _220438, _220434)), _220448 = _220446, _220444 = _220442, _220440 = _220438, _220436 = _220434], (220 ^ _213256) ^ [_221095, _221097, _221099, _221101, _221103, _221105] : [-(tptp_update2(_221105, _221101, _221097) = tptp_update2(_221103, _221099, _221095)), _221105 = _221103, _221101 = _221099, _221097 = _221095], (234 ^ _213256) ^ [_221555, _221557] : [_221557 = _221555, -(succ(_221557) = succ(_221555))], (240 ^ _213256) ^ [_221801, _221803, _221805, _221807] : [-(a_select2(_221807, _221803) = a_select2(_221805, _221801)), _221807 = _221805, _221803 = _221801], (250 ^ _213256) ^ [_222168, _222170, _222172, _222174, _222176, _222178] : [-(a_select3(_222178, _222174, _222170) = a_select3(_222176, _222172, _222168)), _222178 = _222176, _222174 = _222172, _222170 = _222168], (869 ^ _213256) ^ [] : [-(gt(n5, n4))], (871 ^ _213256) ^ [] : [-(gt(n998, n4))], (873 ^ _213256) ^ [] : [-(gt(n998, n5))], (875 ^ _213256) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _213256) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _213256) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _213256) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _213256) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _213256) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _213256) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _213256) ^ [] : [-(gt(n4, n0))], (891 ^ _213256) ^ [] : [-(gt(n5, n0))], (893 ^ _213256) ^ [] : [-(gt(n998, n0))], (895 ^ _213256) ^ [] : [-(gt(n1, n0))], (897 ^ _213256) ^ [] : [-(gt(n2, n0))], (899 ^ _213256) ^ [] : [-(gt(n3, n0))], (901 ^ _213256) ^ [] : [-(gt(n4, n1))], (903 ^ _213256) ^ [] : [-(gt(n5, n1))], (905 ^ _213256) ^ [] : [-(gt(n998, n1))], (907 ^ _213256) ^ [] : [-(gt(n2, n1))], (909 ^ _213256) ^ [] : [-(gt(n3, n1))], (911 ^ _213256) ^ [] : [-(gt(n4, n2))], (913 ^ _213256) ^ [] : [-(gt(n5, n2))], (915 ^ _213256) ^ [] : [-(gt(n998, n2))], (917 ^ _213256) ^ [] : [-(gt(n3, n2))], (919 ^ _213256) ^ [] : [-(gt(n4, n3))], (921 ^ _213256) ^ [] : [-(gt(n5, n3))], (923 ^ _213256) ^ [] : [-(gt(n998, n3))], (925 ^ _213256) ^ [_250137] : [leq(n0, _250137), leq(_250137, n4), -(_250137 = n0), -(_250137 = n1), -(_250137 = n2), -(_250137 = n3), -(_250137 = n4)], (951 ^ _213256) ^ [_250758] : [leq(n0, _250758), leq(_250758, n5), -(_250758 = n0), -(_250758 = n1), -(_250758 = n2), -(_250758 = n3), -(_250758 = n4), -(_250758 = n5)], (981 ^ _213256) ^ [_251465] : [-(_251465 = n0), leq(n0, _251465), leq(_251465, n0)], (991 ^ _213256) ^ [_251740] : [leq(n0, _251740), leq(_251740, n1), -(_251740 = n0), -(_251740 = n1)], (1005 ^ _213256) ^ [_252103] : [leq(n0, _252103), leq(_252103, n2), -(_252103 = n0), -(_252103 = n1), -(_252103 = n2)], (1045 ^ _213256) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _213256) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _213256) ^ [] : [-(succ(n0) = n1)], (1051 ^ _213256) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _213256) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _213256) ^ [_252552] : [leq(n0, _252552), leq(_252552, n3), -(_252552 = n0), -(_252552 = n1), -(_252552 = n2), -(_252552 = n3)], (264 ^ _213256) ^ [_222728, _222730] : [-(gt(_222730, _222728)), -(gt(_222728, _222730)), -(_222730 = _222728)], (274 ^ _213256) ^ [_223043, _223045, _223047] : [-(gt(_223047, _223043)), gt(_223047, _223045), gt(_223045, _223043)], (284 ^ _213256) ^ [_223322] : [gt(_223322, _223322)], (286 ^ _213256) ^ [_223400] : [-(leq(_223400, _223400))], (288 ^ _213256) ^ [_223521, _223523, _223525] : [-(leq(_223525, _223521)), leq(_223525, _223523), leq(_223523, _223521)], (298 ^ _213256) ^ [_223859, _223861] : [lt(_223861, _223859), -(gt(_223859, _223861))], (304 ^ _213256) ^ [_224021, _224023] : [gt(_224021, _224023), -(lt(_224023, _224021))], (310 ^ _213256) ^ [_224262, _224264] : [geq(_224264, _224262), -(leq(_224262, _224264))], (316 ^ _213256) ^ [_224424, _224426] : [leq(_224424, _224426), -(geq(_224426, _224424))], (322 ^ _213256) ^ [_224636, _224638] : [gt(_224636, _224638), -(leq(_224638, _224636))], (328 ^ _213256) ^ [_224846, _224848] : [-(gt(_224846, _224848)), leq(_224848, _224846), -(_224848 = _224846)], (338 ^ _213256) ^ [_225177, _225179] : [leq(_225179, pred(_225177)), -(gt(_225177, _225179))], (344 ^ _213256) ^ [_225343, _225345] : [gt(_225343, _225345), -(leq(_225345, pred(_225343)))], (350 ^ _213256) ^ [_225530] : [-(gt(succ(_225530), _225530))], (352 ^ _213256) ^ [_225639, _225641] : [leq(_225641, _225639), -(leq(_225641, succ(_225639)))], (358 ^ _213256) ^ [_225882, _225884] : [leq(_225884, _225882), -(gt(succ(_225882), _225884))], (364 ^ _213256) ^ [_226048, _226050] : [gt(succ(_226048), _226050), -(leq(_226050, _226048))], (370 ^ _213256) ^ [_226264, _226266] : [leq(n0, _226266), -(leq(uniform_int_rnd(_226264, _226266), _226266))], (376 ^ _213256) ^ [_226480, _226482] : [leq(n0, _226482), -(leq(n0, uniform_int_rnd(_226480, _226482)))], (382 ^ _213256) ^ [_226724, _226726, _226728, _226730] : [-(a_select2(tptp_const_array1(dim(_226728, _226726), _226724), _226730) = _226724), leq(_226728, _226730), leq(_226730, _226726)], (392 ^ _213256) ^ [_227131, _227133, _227135, _227137, _227139, _227141, _227143] : [-(a_select3(tptp_const_array2(dim(_227141, _227139), dim(_227135, _227133), _227131), _227143, _227137) = _227131), leq(_227141, _227143), leq(_227143, _227139), leq(_227135, _227137), leq(_227137, _227133)], (410 ^ _213256) ^ [_227726, _227728] : [413 ^ _213256 : [(414 ^ _213256) ^ [] : [-(leq(n0, 411 ^ [_227726, _227728]))], (416 ^ _213256) ^ [] : [-(leq(411 ^ [_227726, _227728], _227726))], (418 ^ _213256) ^ [] : [-(leq(n0, 412 ^ [_227726, _227728]))], (420 ^ _213256) ^ [] : [-(leq(412 ^ [_227726, _227728], _227726))], (422 ^ _213256) ^ [] : [a_select3(_227728, 411 ^ [_227726, _227728], 412 ^ [_227726, _227728]) = a_select3(_227728, 412 ^ [_227726, _227728], 411 ^ [_227726, _227728])]], 423 ^ _213256 : [(424 ^ _213256) ^ [_228483, _228485] : [-(a_select3(trans(_227728), _228485, _228483) = a_select3(trans(_227728), _228483, _228485)), leq(n0, _228485), leq(_228485, _227726), leq(n0, _228483), leq(_228483, _227726)]]], (442 ^ _213256) ^ [_229030, _229032] : [445 ^ _213256 : [(446 ^ _213256) ^ [] : [-(leq(n0, 443 ^ [_229030, _229032]))], (448 ^ _213256) ^ [] : [-(leq(443 ^ [_229030, _229032], _229030))], (450 ^ _213256) ^ [] : [-(leq(n0, 444 ^ [_229030, _229032]))], (452 ^ _213256) ^ [] : [-(leq(444 ^ [_229030, _229032], _229030))], (454 ^ _213256) ^ [] : [a_select3(_229032, 443 ^ [_229030, _229032], 444 ^ [_229030, _229032]) = a_select3(_229032, 444 ^ [_229030, _229032], 443 ^ [_229030, _229032])]], 455 ^ _213256 : [(456 ^ _213256) ^ [_229787, _229789] : [-(a_select3(inv(_229032), _229789, _229787) = a_select3(inv(_229032), _229787, _229789)), leq(n0, _229789), leq(_229789, _229030), leq(n0, _229787), leq(_229787, _229030)]]], (474 ^ _213256) ^ [_230334, _230336] : [477 ^ _213256 : [(478 ^ _213256) ^ [] : [-(leq(n0, 475 ^ [_230334, _230336]))], (480 ^ _213256) ^ [] : [-(leq(475 ^ [_230334, _230336], _230334))], (482 ^ _213256) ^ [] : [-(leq(n0, 476 ^ [_230334, _230336]))], (484 ^ _213256) ^ [] : [-(leq(476 ^ [_230334, _230336], _230334))], (486 ^ _213256) ^ [] : [a_select3(_230336, 475 ^ [_230334, _230336], 476 ^ [_230334, _230336]) = a_select3(_230336, 476 ^ [_230334, _230336], 475 ^ [_230334, _230336])]], 487 ^ _213256 : [(488 ^ _213256) ^ [_231147, _231149, _231151, _231153] : [-(a_select3(tptp_update3(_230336, _231149, _231149, _231147), _231153, _231151) = a_select3(tptp_update3(_230336, _231149, _231149, _231147), _231151, _231153)), leq(n0, _231153), leq(_231153, _230334), leq(n0, _231151), leq(_231151, _230334), leq(n0, _231149), leq(_231149, _230334)]]], (514 ^ _213256) ^ [_231966, _231968, _231970] : [519 ^ _213256 : [(520 ^ _213256) ^ [] : [-(leq(n0, 517 ^ [_231966, _231968, _231970]))], (522 ^ _213256) ^ [] : [-(leq(517 ^ [_231966, _231968, _231970], _231966))], (524 ^ _213256) ^ [] : [-(leq(n0, 518 ^ [_231966, _231968, _231970]))], (526 ^ _213256) ^ [] : [-(leq(518 ^ [_231966, _231968, _231970], _231966))], (528 ^ _213256) ^ [] : [a_select3(_231970, 517 ^ [_231966, _231968, _231970], 518 ^ [_231966, _231968, _231970]) = a_select3(_231970, 518 ^ [_231966, _231968, _231970], 517 ^ [_231966, _231968, _231970])]], 531 ^ _213256 : [(532 ^ _213256) ^ [] : [-(leq(n0, 529 ^ [_231966, _231968, _231970]))], (534 ^ _213256) ^ [] : [-(leq(529 ^ [_231966, _231968, _231970], _231966))], (536 ^ _213256) ^ [] : [-(leq(n0, 530 ^ [_231966, _231968, _231970]))], (538 ^ _213256) ^ [] : [-(leq(530 ^ [_231966, _231968, _231970], _231966))], (540 ^ _213256) ^ [] : [a_select3(_231968, 529 ^ [_231966, _231968, _231970], 530 ^ [_231966, _231968, _231970]) = a_select3(_231968, 530 ^ [_231966, _231968, _231970], 529 ^ [_231966, _231968, _231970])]], 541 ^ _213256 : [(542 ^ _213256) ^ [_233475, _233477] : [-(a_select3(tptp_madd(_231970, _231968), _233477, _233475) = a_select3(tptp_madd(_231970, _231968), _233475, _233477)), leq(n0, _233477), leq(_233477, _231966), leq(n0, _233475), leq(_233475, _231966)]]], (560 ^ _213256) ^ [_234061, _234063, _234065] : [565 ^ _213256 : [(566 ^ _213256) ^ [] : [-(leq(n0, 563 ^ [_234061, _234063, _234065]))], (568 ^ _213256) ^ [] : [-(leq(563 ^ [_234061, _234063, _234065], _234061))], (570 ^ _213256) ^ [] : [-(leq(n0, 564 ^ [_234061, _234063, _234065]))], (572 ^ _213256) ^ [] : [-(leq(564 ^ [_234061, _234063, _234065], _234061))], (574 ^ _213256) ^ [] : [a_select3(_234065, 563 ^ [_234061, _234063, _234065], 564 ^ [_234061, _234063, _234065]) = a_select3(_234065, 564 ^ [_234061, _234063, _234065], 563 ^ [_234061, _234063, _234065])]], 577 ^ _213256 : [(578 ^ _213256) ^ [] : [-(leq(n0, 575 ^ [_234061, _234063, _234065]))], (580 ^ _213256) ^ [] : [-(leq(575 ^ [_234061, _234063, _234065], _234061))], (582 ^ _213256) ^ [] : [-(leq(n0, 576 ^ [_234061, _234063, _234065]))], (584 ^ _213256) ^ [] : [-(leq(576 ^ [_234061, _234063, _234065], _234061))], (586 ^ _213256) ^ [] : [a_select3(_234063, 575 ^ [_234061, _234063, _234065], 576 ^ [_234061, _234063, _234065]) = a_select3(_234063, 576 ^ [_234061, _234063, _234065], 575 ^ [_234061, _234063, _234065])]], 587 ^ _213256 : [(588 ^ _213256) ^ [_235570, _235572] : [-(a_select3(tptp_msub(_234065, _234063), _235572, _235570) = a_select3(tptp_msub(_234065, _234063), _235570, _235572)), leq(n0, _235572), leq(_235572, _234061), leq(n0, _235570), leq(_235570, _234061)]]], (606 ^ _213256) ^ [_236156, _236158, _236160] : [609 ^ _213256 : [(610 ^ _213256) ^ [] : [-(leq(n0, 607 ^ [_236156, _236158, _236160]))], (612 ^ _213256) ^ [] : [-(leq(607 ^ [_236156, _236158, _236160], _236156))], (614 ^ _213256) ^ [] : [-(leq(n0, 608 ^ [_236156, _236158, _236160]))], (616 ^ _213256) ^ [] : [-(leq(608 ^ [_236156, _236158, _236160], _236156))], (618 ^ _213256) ^ [] : [a_select3(_236158, 607 ^ [_236156, _236158, _236160], 608 ^ [_236156, _236158, _236160]) = a_select3(_236158, 608 ^ [_236156, _236158, _236160], 607 ^ [_236156, _236158, _236160])]], 619 ^ _213256 : [(620 ^ _213256) ^ [_236969, _236971] : [-(a_select3(tptp_mmul(_236160, tptp_mmul(_236158, trans(_236160))), _236971, _236969) = a_select3(tptp_mmul(_236160, tptp_mmul(_236158, trans(_236160))), _236969, _236971)), leq(n0, _236971), leq(_236971, _236156), leq(n0, _236969), leq(_236969, _236156)]]], (638 ^ _213256) ^ [_237588, _237590, _237592, _237594] : [641 ^ _213256 : [(642 ^ _213256) ^ [] : [-(leq(n0, 639 ^ [_237588, _237590, _237592, _237594]))], (644 ^ _213256) ^ [] : [-(leq(639 ^ [_237588, _237590, _237592, _237594], _237588))], (646 ^ _213256) ^ [] : [-(leq(n0, 640 ^ [_237588, _237590, _237592, _237594]))], (648 ^ _213256) ^ [] : [-(leq(640 ^ [_237588, _237590, _237592, _237594], _237588))], (650 ^ _213256) ^ [] : [a_select3(_237592, 639 ^ [_237588, _237590, _237592, _237594], 640 ^ [_237588, _237590, _237592, _237594]) = a_select3(_237592, 640 ^ [_237588, _237590, _237592, _237594], 639 ^ [_237588, _237590, _237592, _237594])]], 651 ^ _213256 : [(652 ^ _213256) ^ [_238445, _238447] : [-(a_select3(tptp_mmul(_237594, tptp_mmul(_237592, trans(_237594))), _238447, _238445) = a_select3(tptp_mmul(_237594, tptp_mmul(_237592, trans(_237594))), _238445, _238447)), leq(n0, _238447), leq(_238447, _237590), leq(n0, _238445), leq(_238445, _237590)]]], (670 ^ _213256) ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154] : [675 ^ _213256 : [(676 ^ _213256) ^ [] : [-(leq(n0, 673 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (678 ^ _213256) ^ [] : [-(leq(673 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239140))], (680 ^ _213256) ^ [] : [-(leq(n0, 674 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (682 ^ _213256) ^ [] : [-(leq(674 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239140))], (684 ^ _213256) ^ [] : [a_select3(_239148, 673 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 674 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]) = a_select3(_239148, 674 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 673 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154])]], 689 ^ _213256 : [(690 ^ _213256) ^ [] : [-(leq(n0, 687 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (692 ^ _213256) ^ [] : [-(leq(687 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239142))], (694 ^ _213256) ^ [] : [-(leq(n0, 688 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (696 ^ _213256) ^ [] : [-(leq(688 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239142))], (698 ^ _213256) ^ [] : [a_select3(_239154, 687 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 688 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]) = a_select3(_239154, 688 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 687 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154])]], 701 ^ _213256 : [(702 ^ _213256) ^ [] : [-(leq(n0, 699 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (704 ^ _213256) ^ [] : [-(leq(699 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239142))], (706 ^ _213256) ^ [] : [-(leq(n0, 700 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]))], (708 ^ _213256) ^ [] : [-(leq(700 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], _239142))], (710 ^ _213256) ^ [] : [a_select3(_239144, 699 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 700 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154]) = a_select3(_239144, 700 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154], 699 ^ [_239140, _239142, _239144, _239146, _239148, _239150, _239152, _239154])]], 711 ^ _213256 : [(712 ^ _213256) ^ [_242068, _242070] : [-(a_select3(tptp_madd(_239154, tptp_mmul(_239152, tptp_mmul(tptp_madd(tptp_mmul(_239150, tptp_mmul(_239148, trans(_239150))), tptp_mmul(_239146, tptp_mmul(_239144, trans(_239146)))), trans(_239152)))), _242070, _242068) = a_select3(tptp_madd(_239154, tptp_mmul(_239152, tptp_mmul(tptp_madd(tptp_mmul(_239150, tptp_mmul(_239148, trans(_239150))), tptp_mmul(_239146, tptp_mmul(_239144, trans(_239146)))), trans(_239152)))), _242068, _242070)), leq(n0, _242070), leq(_242070, _239142), leq(n0, _242068), leq(_242068, _239142)]]], (730 ^ _213256) ^ [_242821] : [-(sum(n0, tptp_minus_1, _242821) = n0)], (732 ^ _213256) ^ [_242903] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242903))], (734 ^ _213256) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _213256) ^ [_243038] : [-(plus(_243038, n1) = succ(_243038))], (738 ^ _213256) ^ [_243121] : [-(plus(n1, _243121) = succ(_243121))], (740 ^ _213256) ^ [_243204] : [-(plus(_243204, n2) = succ(succ(_243204)))], (742 ^ _213256) ^ [_243289] : [-(plus(n2, _243289) = succ(succ(_243289)))], (744 ^ _213256) ^ [_243374] : [-(plus(_243374, n3) = succ(succ(succ(_243374))))], (746 ^ _213256) ^ [_243461] : [-(plus(n3, _243461) = succ(succ(succ(_243461))))], (748 ^ _213256) ^ [_243548] : [-(plus(_243548, n4) = succ(succ(succ(succ(_243548)))))], (750 ^ _213256) ^ [_243637] : [-(plus(n4, _243637) = succ(succ(succ(succ(_243637)))))], (752 ^ _213256) ^ [_243726] : [-(plus(_243726, n5) = succ(succ(succ(succ(succ(_243726))))))], (754 ^ _213256) ^ [_243817] : [-(plus(n5, _243817) = succ(succ(succ(succ(succ(_243817))))))], (756 ^ _213256) ^ [_243908] : [-(minus(_243908, n1) = pred(_243908))], (758 ^ _213256) ^ [_243991] : [-(pred(succ(_243991)) = _243991)], (760 ^ _213256) ^ [_244073] : [-(succ(pred(_244073)) = _244073)], (762 ^ _213256) ^ [_244213, _244215] : [leq(succ(_244215), succ(_244213)), -(leq(_244215, _244213))], (768 ^ _213256) ^ [_244383, _244385] : [leq(_244385, _244383), -(leq(succ(_244385), succ(_244383)))], (774 ^ _213256) ^ [_244603, _244605] : [leq(succ(_244605), _244603), -(gt(_244603, _244605))], (780 ^ _213256) ^ [_244817, _244819] : [leq(minus(_244819, _244817), _244819), -(leq(n0, _244817))], (786 ^ _213256) ^ [_245046, _245048, _245050, _245052] : [-(a_select3(tptp_update3(_245052, _245050, _245048, _245046), _245050, _245048) = _245046)], (788 ^ _213256) ^ [_245238, _245240, _245242, _245244, _245246, _245248, _245250] : [-(a_select3(tptp_update3(_245242, _245250, _245248, _245238), _245246, _245244) = _245240), -(_245250 = _245246), _245248 = _245244, a_select3(_245242, _245246, _245244) = _245240], (802 ^ _213256) ^ [_245781, _245783, _245785, _245787, _245789, _245791] : [-(a_select3(tptp_update3(_245783, _245787, _245785, _245781), _245791, _245789) = _245781), 807 ^ _213256 : [(808 ^ _213256) ^ [] : [-(leq(n0, 805 ^ [_245781, _245783, _245785, _245787, _245789, _245791]))], (810 ^ _213256) ^ [] : [-(leq(n0, 806 ^ [_245781, _245783, _245785, _245787, _245789, _245791]))], (812 ^ _213256) ^ [] : [-(leq(805 ^ [_245781, _245783, _245785, _245787, _245789, _245791], _245787))], (814 ^ _213256) ^ [] : [-(leq(806 ^ [_245781, _245783, _245785, _245787, _245789, _245791], _245785))], (816 ^ _213256) ^ [] : [a_select3(_245783, 805 ^ [_245781, _245783, _245785, _245787, _245789, _245791], 806 ^ [_245781, _245783, _245785, _245787, _245789, _245791]) = _245781]], leq(n0, _245791), leq(_245791, _245787), leq(n0, _245789), leq(_245789, _245785)], (834 ^ _213256) ^ [_247123, _247125, _247127] : [-(a_select2(tptp_update2(_247127, _247125, _247123), _247125) = _247123)], (836 ^ _213256) ^ [_247283, _247285, _247287, _247289, _247291] : [-(a_select2(tptp_update2(_247287, _247291, _247283), _247289) = _247285), -(_247291 = _247289), a_select2(_247287, _247289) = _247285], (865 ^ _213256) ^ [] : [-(true)], (867 ^ _213256) ^ [] : [def = use], (846 ^ _213256) ^ [_247663, _247665, _247667, _247669] : [-(a_select2(tptp_update2(_247665, _247667, _247663), _247669) = _247663), 850 ^ _213256 : [(851 ^ _213256) ^ [] : [-(leq(n0, 849 ^ [_247663, _247665, _247667, _247669]))], (853 ^ _213256) ^ [] : [-(leq(849 ^ [_247663, _247665, _247667, _247669], _247667))], (855 ^ _213256) ^ [] : [a_select2(_247665, 849 ^ [_247663, _247665, _247667, _247669]) = _247663]], leq(n0, _247669), leq(_247669, _247667)]], input).
% 0.34/1.38  ncf('1',plain,[a_select3(z_defuse, 1144 ^ [], 1145 ^ []) = use],start(1155 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(a_select3(z_defuse, 1144 ^ [], 1145 ^ []) = use), leq(n0, 1144 ^ []), leq(n0, 1145 ^ []), leq(1144 ^ [], n2), leq(1145 ^ [], n998)],extension(1127 ^ 1,bind([[_255482, _255484], [1145 ^ [], 1144 ^ []]]))).
% 0.34/1.38  ncf('1.1.1',plain,[-(leq(n0, 1144 ^ []))],extension(1147 ^ 2)).
% 0.34/1.38  ncf('1.1.2',plain,[-(leq(n0, 1145 ^ []))],extension(1149 ^ 2)).
% 0.34/1.38  ncf('1.1.3',plain,[-(leq(1144 ^ [], n2))],extension(1151 ^ 2)).
% 0.34/1.38  ncf('1.1.4',plain,[-(leq(1145 ^ [], n998))],extension(1153 ^ 2)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------