%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV201+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV201+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 02:42:58 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.38/1.40  
% 0.38/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  ncf(matrix, plain, [(1153 ^ _216507) ^ [] : [-(leq(n0, 1150 ^ []))], (1155 ^ _216507) ^ [] : [-(leq(n0, 1151 ^ []))], (1157 ^ _216507) ^ [] : [-(leq(1150 ^ [], n2))], (1159 ^ _216507) ^ [] : [-(leq(1151 ^ [], pred(pv5)))], (1179 ^ _216507) ^ [] : [a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use], (1161 ^ _216507) ^ [] : [n0 = 1150 ^ [], pv5 = 1151 ^ []], (1167 ^ _216507) ^ [] : [n1 = 1150 ^ [], pv5 = 1151 ^ []], (1173 ^ _216507) ^ [] : [n2 = 1150 ^ [], pv5 = 1151 ^ []], (1055 ^ _216507) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _216507) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _216507) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _216507) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _216507) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _216507) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _216507) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _216507) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _216507) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _216507) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _216507) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _216507) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _216507) ^ [] : [-(leq(n0, pv5))], (1111 ^ _216507) ^ [] : [-(leq(pv5, n998))], (1113 ^ _216507) ^ [] : [-(gt(pv5, n0))], (1115 ^ _216507) ^ [_258427, _258429] : [-(a_select3(u_defuse, _258429, _258427) = use), leq(n0, _258429), leq(n0, _258427), leq(_258429, n2), leq(_258427, pred(pv5))], (1133 ^ _216507) ^ [_258892, _258894] : [-(a_select3(z_defuse, _258894, _258892) = use), leq(n0, _258894), leq(n0, _258892), leq(_258894, n2), leq(_258892, pred(pv5))], (2 ^ _216507) ^ [_216651] : [-(_216651 = _216651)], (4 ^ _216507) ^ [_216758, _216760] : [_216760 = _216758, -(_216758 = _216760)], (10 ^ _216507) ^ [_216962, _216964, _216966] : [-(_216966 = _216962), _216966 = _216964, _216964 = _216962], (20 ^ _216507) ^ [_217303, _217305, _217307, _217309] : [-(lt(_217307, _217303)), lt(_217309, _217305), _217309 = _217307, _217305 = _217303], (34 ^ _216507) ^ [_217747, _217749, _217751, _217753] : [-(geq(_217751, _217747)), geq(_217753, _217749), _217753 = _217751, _217749 = _217747], (48 ^ _216507) ^ [_218191, _218193, _218195, _218197] : [-(gt(_218195, _218191)), gt(_218197, _218193), _218197 = _218195, _218193 = _218191], (62 ^ _216507) ^ [_218615, _218617, _218619, _218621] : [-(leq(_218619, _218615)), leq(_218621, _218617), _218621 = _218619, _218617 = _218615], (76 ^ _216507) ^ [_219071, _219073, _219075, _219077] : [-(uniform_int_rnd(_219077, _219073) = uniform_int_rnd(_219075, _219071)), _219077 = _219075, _219073 = _219071], (86 ^ _216507) ^ [_219430, _219432, _219434, _219436] : [-(tptp_const_array1(_219436, _219432) = tptp_const_array1(_219434, _219430)), _219436 = _219434, _219432 = _219430], (96 ^ _216507) ^ [_219817, _219819, _219821, _219823, _219825, _219827] : [-(tptp_const_array2(_219827, _219823, _219819) = tptp_const_array2(_219825, _219821, _219817)), _219827 = _219825, _219823 = _219821, _219819 = _219817], (110 ^ _216507) ^ [_220305, _220307, _220309, _220311] : [-(dim(_220311, _220307) = dim(_220309, _220305)), _220311 = _220309, _220307 = _220305], (120 ^ _216507) ^ [_220636, _220638] : [_220638 = _220636, -(inv(_220638) = inv(_220636))], (126 ^ _216507) ^ [_220882, _220884, _220886, _220888] : [-(tptp_msub(_220888, _220884) = tptp_msub(_220886, _220882)), _220888 = _220886, _220884 = _220882], (136 ^ _216507) ^ [_221241, _221243, _221245, _221247] : [-(tptp_madd(_221247, _221243) = tptp_madd(_221245, _221241)), _221247 = _221245, _221243 = _221241], (146 ^ _216507) ^ [_221600, _221602, _221604, _221606] : [-(tptp_mmul(_221606, _221602) = tptp_mmul(_221604, _221600)), _221606 = _221604, _221602 = _221600], (156 ^ _216507) ^ [_221931, _221933] : [_221933 = _221931, -(trans(_221933) = trans(_221931))], (162 ^ _216507) ^ [_222205, _222207, _222209, _222211, _222213, _222215] : [-(sum(_222215, _222211, _222207) = sum(_222213, _222209, _222205)), _222215 = _222213, _222211 = _222209, _222207 = _222205], (176 ^ _216507) ^ [_222693, _222695, _222697, _222699] : [-(plus(_222699, _222695) = plus(_222697, _222693)), _222699 = _222697, _222695 = _222693], (186 ^ _216507) ^ [_223052, _223054, _223056, _223058] : [-(minus(_223058, _223054) = minus(_223056, _223052)), _223058 = _223056, _223054 = _223052], (196 ^ _216507) ^ [_223467, _223469, _223471, _223473, _223475, _223477, _223479, _223481] : [-(tptp_update3(_223481, _223477, _223473, _223469) = tptp_update3(_223479, _223475, _223471, _223467)), _223481 = _223479, _223477 = _223475, _223473 = _223471, _223469 = _223467], (214 ^ _216507) ^ [_224128, _224130, _224132, _224134, _224136, _224138] : [-(tptp_update2(_224138, _224134, _224130) = tptp_update2(_224136, _224132, _224128)), _224138 = _224136, _224134 = _224132, _224130 = _224128], (228 ^ _216507) ^ [_224588, _224590] : [_224590 = _224588, -(succ(_224590) = succ(_224588))], (234 ^ _216507) ^ [_224834, _224836, _224838, _224840] : [-(a_select2(_224840, _224836) = a_select2(_224838, _224834)), _224840 = _224838, _224836 = _224834], (244 ^ _216507) ^ [_225165, _225167] : [_225167 = _225165, -(pred(_225167) = pred(_225165))], (250 ^ _216507) ^ [_225419, _225421, _225423, _225425, _225427, _225429] : [-(a_select3(_225429, _225425, _225421) = a_select3(_225427, _225423, _225419)), _225429 = _225427, _225425 = _225423, _225421 = _225419], (869 ^ _216507) ^ [] : [-(gt(n5, n4))], (871 ^ _216507) ^ [] : [-(gt(n998, n4))], (873 ^ _216507) ^ [] : [-(gt(n998, n5))], (875 ^ _216507) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _216507) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _216507) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _216507) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _216507) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _216507) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _216507) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _216507) ^ [] : [-(gt(n4, n0))], (891 ^ _216507) ^ [] : [-(gt(n5, n0))], (893 ^ _216507) ^ [] : [-(gt(n998, n0))], (895 ^ _216507) ^ [] : [-(gt(n1, n0))], (897 ^ _216507) ^ [] : [-(gt(n2, n0))], (899 ^ _216507) ^ [] : [-(gt(n3, n0))], (901 ^ _216507) ^ [] : [-(gt(n4, n1))], (903 ^ _216507) ^ [] : [-(gt(n5, n1))], (905 ^ _216507) ^ [] : [-(gt(n998, n1))], (907 ^ _216507) ^ [] : [-(gt(n2, n1))], (909 ^ _216507) ^ [] : [-(gt(n3, n1))], (911 ^ _216507) ^ [] : [-(gt(n4, n2))], (913 ^ _216507) ^ [] : [-(gt(n5, n2))], (915 ^ _216507) ^ [] : [-(gt(n998, n2))], (917 ^ _216507) ^ [] : [-(gt(n3, n2))], (919 ^ _216507) ^ [] : [-(gt(n4, n3))], (921 ^ _216507) ^ [] : [-(gt(n5, n3))], (923 ^ _216507) ^ [] : [-(gt(n998, n3))], (925 ^ _216507) ^ [_253388] : [leq(n0, _253388), leq(_253388, n4), -(_253388 = n0), -(_253388 = n1), -(_253388 = n2), -(_253388 = n3), -(_253388 = n4)], (951 ^ _216507) ^ [_254009] : [leq(n0, _254009), leq(_254009, n5), -(_254009 = n0), -(_254009 = n1), -(_254009 = n2), -(_254009 = n3), -(_254009 = n4), -(_254009 = n5)], (981 ^ _216507) ^ [_254716] : [-(_254716 = n0), leq(n0, _254716), leq(_254716, n0)], (991 ^ _216507) ^ [_254991] : [leq(n0, _254991), leq(_254991, n1), -(_254991 = n0), -(_254991 = n1)], (1005 ^ _216507) ^ [_255354] : [leq(n0, _255354), leq(_255354, n2), -(_255354 = n0), -(_255354 = n1), -(_255354 = n2)], (1045 ^ _216507) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _216507) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _216507) ^ [] : [-(succ(n0) = n1)], (1051 ^ _216507) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _216507) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _216507) ^ [_255803] : [leq(n0, _255803), leq(_255803, n3), -(_255803 = n0), -(_255803 = n1), -(_255803 = n2), -(_255803 = n3)], (264 ^ _216507) ^ [_225979, _225981] : [-(gt(_225981, _225979)), -(gt(_225979, _225981)), -(_225981 = _225979)], (274 ^ _216507) ^ [_226294, _226296, _226298] : [-(gt(_226298, _226294)), gt(_226298, _226296), gt(_226296, _226294)], (284 ^ _216507) ^ [_226573] : [gt(_226573, _226573)], (286 ^ _216507) ^ [_226651] : [-(leq(_226651, _226651))], (288 ^ _216507) ^ [_226772, _226774, _226776] : [-(leq(_226776, _226772)), leq(_226776, _226774), leq(_226774, _226772)], (298 ^ _216507) ^ [_227110, _227112] : [lt(_227112, _227110), -(gt(_227110, _227112))], (304 ^ _216507) ^ [_227272, _227274] : [gt(_227272, _227274), -(lt(_227274, _227272))], (310 ^ _216507) ^ [_227513, _227515] : [geq(_227515, _227513), -(leq(_227513, _227515))], (316 ^ _216507) ^ [_227675, _227677] : [leq(_227675, _227677), -(geq(_227677, _227675))], (322 ^ _216507) ^ [_227887, _227889] : [gt(_227887, _227889), -(leq(_227889, _227887))], (328 ^ _216507) ^ [_228097, _228099] : [-(gt(_228097, _228099)), leq(_228099, _228097), -(_228099 = _228097)], (338 ^ _216507) ^ [_228428, _228430] : [leq(_228430, pred(_228428)), -(gt(_228428, _228430))], (344 ^ _216507) ^ [_228594, _228596] : [gt(_228594, _228596), -(leq(_228596, pred(_228594)))], (350 ^ _216507) ^ [_228781] : [-(gt(succ(_228781), _228781))], (352 ^ _216507) ^ [_228890, _228892] : [leq(_228892, _228890), -(leq(_228892, succ(_228890)))], (358 ^ _216507) ^ [_229133, _229135] : [leq(_229135, _229133), -(gt(succ(_229133), _229135))], (364 ^ _216507) ^ [_229299, _229301] : [gt(succ(_229299), _229301), -(leq(_229301, _229299))], (370 ^ _216507) ^ [_229515, _229517] : [leq(n0, _229517), -(leq(uniform_int_rnd(_229515, _229517), _229517))], (376 ^ _216507) ^ [_229731, _229733] : [leq(n0, _229733), -(leq(n0, uniform_int_rnd(_229731, _229733)))], (382 ^ _216507) ^ [_229975, _229977, _229979, _229981] : [-(a_select2(tptp_const_array1(dim(_229979, _229977), _229975), _229981) = _229975), leq(_229979, _229981), leq(_229981, _229977)], (392 ^ _216507) ^ [_230382, _230384, _230386, _230388, _230390, _230392, _230394] : [-(a_select3(tptp_const_array2(dim(_230392, _230390), dim(_230386, _230384), _230382), _230394, _230388) = _230382), leq(_230392, _230394), leq(_230394, _230390), leq(_230386, _230388), leq(_230388, _230384)], (410 ^ _216507) ^ [_230977, _230979] : [413 ^ _216507 : [(414 ^ _216507) ^ [] : [-(leq(n0, 411 ^ [_230977, _230979]))], (416 ^ _216507) ^ [] : [-(leq(411 ^ [_230977, _230979], _230977))], (418 ^ _216507) ^ [] : [-(leq(n0, 412 ^ [_230977, _230979]))], (420 ^ _216507) ^ [] : [-(leq(412 ^ [_230977, _230979], _230977))], (422 ^ _216507) ^ [] : [a_select3(_230979, 411 ^ [_230977, _230979], 412 ^ [_230977, _230979]) = a_select3(_230979, 412 ^ [_230977, _230979], 411 ^ [_230977, _230979])]], 423 ^ _216507 : [(424 ^ _216507) ^ [_231734, _231736] : [-(a_select3(trans(_230979), _231736, _231734) = a_select3(trans(_230979), _231734, _231736)), leq(n0, _231736), leq(_231736, _230977), leq(n0, _231734), leq(_231734, _230977)]]], (442 ^ _216507) ^ [_232281, _232283] : [445 ^ _216507 : [(446 ^ _216507) ^ [] : [-(leq(n0, 443 ^ [_232281, _232283]))], (448 ^ _216507) ^ [] : [-(leq(443 ^ [_232281, _232283], _232281))], (450 ^ _216507) ^ [] : [-(leq(n0, 444 ^ [_232281, _232283]))], (452 ^ _216507) ^ [] : [-(leq(444 ^ [_232281, _232283], _232281))], (454 ^ _216507) ^ [] : [a_select3(_232283, 443 ^ [_232281, _232283], 444 ^ [_232281, _232283]) = a_select3(_232283, 444 ^ [_232281, _232283], 443 ^ [_232281, _232283])]], 455 ^ _216507 : [(456 ^ _216507) ^ [_233038, _233040] : [-(a_select3(inv(_232283), _233040, _233038) = a_select3(inv(_232283), _233038, _233040)), leq(n0, _233040), leq(_233040, _232281), leq(n0, _233038), leq(_233038, _232281)]]], (474 ^ _216507) ^ [_233585, _233587] : [477 ^ _216507 : [(478 ^ _216507) ^ [] : [-(leq(n0, 475 ^ [_233585, _233587]))], (480 ^ _216507) ^ [] : [-(leq(475 ^ [_233585, _233587], _233585))], (482 ^ _216507) ^ [] : [-(leq(n0, 476 ^ [_233585, _233587]))], (484 ^ _216507) ^ [] : [-(leq(476 ^ [_233585, _233587], _233585))], (486 ^ _216507) ^ [] : [a_select3(_233587, 475 ^ [_233585, _233587], 476 ^ [_233585, _233587]) = a_select3(_233587, 476 ^ [_233585, _233587], 475 ^ [_233585, _233587])]], 487 ^ _216507 : [(488 ^ _216507) ^ [_234398, _234400, _234402, _234404] : [-(a_select3(tptp_update3(_233587, _234400, _234400, _234398), _234404, _234402) = a_select3(tptp_update3(_233587, _234400, _234400, _234398), _234402, _234404)), leq(n0, _234404), leq(_234404, _233585), leq(n0, _234402), leq(_234402, _233585), leq(n0, _234400), leq(_234400, _233585)]]], (514 ^ _216507) ^ [_235217, _235219, _235221] : [519 ^ _216507 : [(520 ^ _216507) ^ [] : [-(leq(n0, 517 ^ [_235217, _235219, _235221]))], (522 ^ _216507) ^ [] : [-(leq(517 ^ [_235217, _235219, _235221], _235217))], (524 ^ _216507) ^ [] : [-(leq(n0, 518 ^ [_235217, _235219, _235221]))], (526 ^ _216507) ^ [] : [-(leq(518 ^ [_235217, _235219, _235221], _235217))], (528 ^ _216507) ^ [] : [a_select3(_235221, 517 ^ [_235217, _235219, _235221], 518 ^ [_235217, _235219, _235221]) = a_select3(_235221, 518 ^ [_235217, _235219, _235221], 517 ^ [_235217, _235219, _235221])]], 531 ^ _216507 : [(532 ^ _216507) ^ [] : [-(leq(n0, 529 ^ [_235217, _235219, _235221]))], (534 ^ _216507) ^ [] : [-(leq(529 ^ [_235217, _235219, _235221], _235217))], (536 ^ _216507) ^ [] : [-(leq(n0, 530 ^ [_235217, _235219, _235221]))], (538 ^ _216507) ^ [] : [-(leq(530 ^ [_235217, _235219, _235221], _235217))], (540 ^ _216507) ^ [] : [a_select3(_235219, 529 ^ [_235217, _235219, _235221], 530 ^ [_235217, _235219, _235221]) = a_select3(_235219, 530 ^ [_235217, _235219, _235221], 529 ^ [_235217, _235219, _235221])]], 541 ^ _216507 : [(542 ^ _216507) ^ [_236726, _236728] : [-(a_select3(tptp_madd(_235221, _235219), _236728, _236726) = a_select3(tptp_madd(_235221, _235219), _236726, _236728)), leq(n0, _236728), leq(_236728, _235217), leq(n0, _236726), leq(_236726, _235217)]]], (560 ^ _216507) ^ [_237312, _237314, _237316] : [565 ^ _216507 : [(566 ^ _216507) ^ [] : [-(leq(n0, 563 ^ [_237312, _237314, _237316]))], (568 ^ _216507) ^ [] : [-(leq(563 ^ [_237312, _237314, _237316], _237312))], (570 ^ _216507) ^ [] : [-(leq(n0, 564 ^ [_237312, _237314, _237316]))], (572 ^ _216507) ^ [] : [-(leq(564 ^ [_237312, _237314, _237316], _237312))], (574 ^ _216507) ^ [] : [a_select3(_237316, 563 ^ [_237312, _237314, _237316], 564 ^ [_237312, _237314, _237316]) = a_select3(_237316, 564 ^ [_237312, _237314, _237316], 563 ^ [_237312, _237314, _237316])]], 577 ^ _216507 : [(578 ^ _216507) ^ [] : [-(leq(n0, 575 ^ [_237312, _237314, _237316]))], (580 ^ _216507) ^ [] : [-(leq(575 ^ [_237312, _237314, _237316], _237312))], (582 ^ _216507) ^ [] : [-(leq(n0, 576 ^ [_237312, _237314, _237316]))], (584 ^ _216507) ^ [] : [-(leq(576 ^ [_237312, _237314, _237316], _237312))], (586 ^ _216507) ^ [] : [a_select3(_237314, 575 ^ [_237312, _237314, _237316], 576 ^ [_237312, _237314, _237316]) = a_select3(_237314, 576 ^ [_237312, _237314, _237316], 575 ^ [_237312, _237314, _237316])]], 587 ^ _216507 : [(588 ^ _216507) ^ [_238821, _238823] : [-(a_select3(tptp_msub(_237316, _237314), _238823, _238821) = a_select3(tptp_msub(_237316, _237314), _238821, _238823)), leq(n0, _238823), leq(_238823, _237312), leq(n0, _238821), leq(_238821, _237312)]]], (606 ^ _216507) ^ [_239407, _239409, _239411] : [609 ^ _216507 : [(610 ^ _216507) ^ [] : [-(leq(n0, 607 ^ [_239407, _239409, _239411]))], (612 ^ _216507) ^ [] : [-(leq(607 ^ [_239407, _239409, _239411], _239407))], (614 ^ _216507) ^ [] : [-(leq(n0, 608 ^ [_239407, _239409, _239411]))], (616 ^ _216507) ^ [] : [-(leq(608 ^ [_239407, _239409, _239411], _239407))], (618 ^ _216507) ^ [] : [a_select3(_239409, 607 ^ [_239407, _239409, _239411], 608 ^ [_239407, _239409, _239411]) = a_select3(_239409, 608 ^ [_239407, _239409, _239411], 607 ^ [_239407, _239409, _239411])]], 619 ^ _216507 : [(620 ^ _216507) ^ [_240220, _240222] : [-(a_select3(tptp_mmul(_239411, tptp_mmul(_239409, trans(_239411))), _240222, _240220) = a_select3(tptp_mmul(_239411, tptp_mmul(_239409, trans(_239411))), _240220, _240222)), leq(n0, _240222), leq(_240222, _239407), leq(n0, _240220), leq(_240220, _239407)]]], (638 ^ _216507) ^ [_240839, _240841, _240843, _240845] : [641 ^ _216507 : [(642 ^ _216507) ^ [] : [-(leq(n0, 639 ^ [_240839, _240841, _240843, _240845]))], (644 ^ _216507) ^ [] : [-(leq(639 ^ [_240839, _240841, _240843, _240845], _240839))], (646 ^ _216507) ^ [] : [-(leq(n0, 640 ^ [_240839, _240841, _240843, _240845]))], (648 ^ _216507) ^ [] : [-(leq(640 ^ [_240839, _240841, _240843, _240845], _240839))], (650 ^ _216507) ^ [] : [a_select3(_240843, 639 ^ [_240839, _240841, _240843, _240845], 640 ^ [_240839, _240841, _240843, _240845]) = a_select3(_240843, 640 ^ [_240839, _240841, _240843, _240845], 639 ^ [_240839, _240841, _240843, _240845])]], 651 ^ _216507 : [(652 ^ _216507) ^ [_241696, _241698] : [-(a_select3(tptp_mmul(_240845, tptp_mmul(_240843, trans(_240845))), _241698, _241696) = a_select3(tptp_mmul(_240845, tptp_mmul(_240843, trans(_240845))), _241696, _241698)), leq(n0, _241698), leq(_241698, _240841), leq(n0, _241696), leq(_241696, _240841)]]], (670 ^ _216507) ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405] : [675 ^ _216507 : [(676 ^ _216507) ^ [] : [-(leq(n0, 673 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (678 ^ _216507) ^ [] : [-(leq(673 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242391))], (680 ^ _216507) ^ [] : [-(leq(n0, 674 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (682 ^ _216507) ^ [] : [-(leq(674 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242391))], (684 ^ _216507) ^ [] : [a_select3(_242399, 673 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 674 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]) = a_select3(_242399, 674 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 673 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405])]], 689 ^ _216507 : [(690 ^ _216507) ^ [] : [-(leq(n0, 687 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (692 ^ _216507) ^ [] : [-(leq(687 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242393))], (694 ^ _216507) ^ [] : [-(leq(n0, 688 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (696 ^ _216507) ^ [] : [-(leq(688 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242393))], (698 ^ _216507) ^ [] : [a_select3(_242405, 687 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 688 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]) = a_select3(_242405, 688 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 687 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405])]], 701 ^ _216507 : [(702 ^ _216507) ^ [] : [-(leq(n0, 699 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (704 ^ _216507) ^ [] : [-(leq(699 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242393))], (706 ^ _216507) ^ [] : [-(leq(n0, 700 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]))], (708 ^ _216507) ^ [] : [-(leq(700 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], _242393))], (710 ^ _216507) ^ [] : [a_select3(_242395, 699 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 700 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405]) = a_select3(_242395, 700 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405], 699 ^ [_242391, _242393, _242395, _242397, _242399, _242401, _242403, _242405])]], 711 ^ _216507 : [(712 ^ _216507) ^ [_245319, _245321] : [-(a_select3(tptp_madd(_242405, tptp_mmul(_242403, tptp_mmul(tptp_madd(tptp_mmul(_242401, tptp_mmul(_242399, trans(_242401))), tptp_mmul(_242397, tptp_mmul(_242395, trans(_242397)))), trans(_242403)))), _245321, _245319) = a_select3(tptp_madd(_242405, tptp_mmul(_242403, tptp_mmul(tptp_madd(tptp_mmul(_242401, tptp_mmul(_242399, trans(_242401))), tptp_mmul(_242397, tptp_mmul(_242395, trans(_242397)))), trans(_242403)))), _245319, _245321)), leq(n0, _245321), leq(_245321, _242393), leq(n0, _245319), leq(_245319, _242393)]]], (730 ^ _216507) ^ [_246072] : [-(sum(n0, tptp_minus_1, _246072) = n0)], (732 ^ _216507) ^ [_246154] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246154))], (734 ^ _216507) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _216507) ^ [_246289] : [-(plus(_246289, n1) = succ(_246289))], (738 ^ _216507) ^ [_246372] : [-(plus(n1, _246372) = succ(_246372))], (740 ^ _216507) ^ [_246455] : [-(plus(_246455, n2) = succ(succ(_246455)))], (742 ^ _216507) ^ [_246540] : [-(plus(n2, _246540) = succ(succ(_246540)))], (744 ^ _216507) ^ [_246625] : [-(plus(_246625, n3) = succ(succ(succ(_246625))))], (746 ^ _216507) ^ [_246712] : [-(plus(n3, _246712) = succ(succ(succ(_246712))))], (748 ^ _216507) ^ [_246799] : [-(plus(_246799, n4) = succ(succ(succ(succ(_246799)))))], (750 ^ _216507) ^ [_246888] : [-(plus(n4, _246888) = succ(succ(succ(succ(_246888)))))], (752 ^ _216507) ^ [_246977] : [-(plus(_246977, n5) = succ(succ(succ(succ(succ(_246977))))))], (754 ^ _216507) ^ [_247068] : [-(plus(n5, _247068) = succ(succ(succ(succ(succ(_247068))))))], (756 ^ _216507) ^ [_247159] : [-(minus(_247159, n1) = pred(_247159))], (758 ^ _216507) ^ [_247242] : [-(pred(succ(_247242)) = _247242)], (760 ^ _216507) ^ [_247324] : [-(succ(pred(_247324)) = _247324)], (762 ^ _216507) ^ [_247464, _247466] : [leq(succ(_247466), succ(_247464)), -(leq(_247466, _247464))], (768 ^ _216507) ^ [_247634, _247636] : [leq(_247636, _247634), -(leq(succ(_247636), succ(_247634)))], (774 ^ _216507) ^ [_247854, _247856] : [leq(succ(_247856), _247854), -(gt(_247854, _247856))], (780 ^ _216507) ^ [_248068, _248070] : [leq(minus(_248070, _248068), _248070), -(leq(n0, _248068))], (786 ^ _216507) ^ [_248297, _248299, _248301, _248303] : [-(a_select3(tptp_update3(_248303, _248301, _248299, _248297), _248301, _248299) = _248297)], (788 ^ _216507) ^ [_248489, _248491, _248493, _248495, _248497, _248499, _248501] : [-(a_select3(tptp_update3(_248493, _248501, _248499, _248489), _248497, _248495) = _248491), -(_248501 = _248497), _248499 = _248495, a_select3(_248493, _248497, _248495) = _248491], (802 ^ _216507) ^ [_249032, _249034, _249036, _249038, _249040, _249042] : [-(a_select3(tptp_update3(_249034, _249038, _249036, _249032), _249042, _249040) = _249032), 807 ^ _216507 : [(808 ^ _216507) ^ [] : [-(leq(n0, 805 ^ [_249032, _249034, _249036, _249038, _249040, _249042]))], (810 ^ _216507) ^ [] : [-(leq(n0, 806 ^ [_249032, _249034, _249036, _249038, _249040, _249042]))], (812 ^ _216507) ^ [] : [-(leq(805 ^ [_249032, _249034, _249036, _249038, _249040, _249042], _249038))], (814 ^ _216507) ^ [] : [-(leq(806 ^ [_249032, _249034, _249036, _249038, _249040, _249042], _249036))], (816 ^ _216507) ^ [] : [a_select3(_249034, 805 ^ [_249032, _249034, _249036, _249038, _249040, _249042], 806 ^ [_249032, _249034, _249036, _249038, _249040, _249042]) = _249032]], leq(n0, _249042), leq(_249042, _249038), leq(n0, _249040), leq(_249040, _249036)], (834 ^ _216507) ^ [_250374, _250376, _250378] : [-(a_select2(tptp_update2(_250378, _250376, _250374), _250376) = _250374)], (836 ^ _216507) ^ [_250534, _250536, _250538, _250540, _250542] : [-(a_select2(tptp_update2(_250538, _250542, _250534), _250540) = _250536), -(_250542 = _250540), a_select2(_250538, _250540) = _250536], (865 ^ _216507) ^ [] : [-(true)], (867 ^ _216507) ^ [] : [def = use], (846 ^ _216507) ^ [_250914, _250916, _250918, _250920] : [-(a_select2(tptp_update2(_250916, _250918, _250914), _250920) = _250914), 850 ^ _216507 : [(851 ^ _216507) ^ [] : [-(leq(n0, 849 ^ [_250914, _250916, _250918, _250920]))], (853 ^ _216507) ^ [] : [-(leq(849 ^ [_250914, _250916, _250918, _250920], _250918))], (855 ^ _216507) ^ [] : [a_select2(_250916, 849 ^ [_250914, _250916, _250918, _250920]) = _250914]], leq(n0, _250920), leq(_250920, _250918)]], input).
% 0.38/1.40  ncf('1',plain,[a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use],start(1179 ^ 0)).
% 0.38/1.40  ncf('1.1',plain,[-(a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use), leq(n0, 1150 ^ []), leq(n0, 1151 ^ []), leq(1150 ^ [], n2), leq(1151 ^ [], pred(pv5))],extension(1133 ^ 1,bind([[_258892, _258894], [1151 ^ [], 1150 ^ []]]))).
% 0.38/1.40  ncf('1.1.1',plain,[-(leq(n0, 1150 ^ []))],extension(1153 ^ 2)).
% 0.38/1.40  ncf('1.1.2',plain,[-(leq(n0, 1151 ^ []))],extension(1155 ^ 2)).
% 0.38/1.40  ncf('1.1.3',plain,[-(leq(1150 ^ [], n2))],extension(1157 ^ 2)).
% 0.38/1.40  ncf('1.1.4',plain,[-(leq(1151 ^ [], pred(pv5)))],extension(1159 ^ 2)).
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------