%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:20:11 EDT 2023

% Result   : Theorem 0.26s 1.34s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWV220+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.10  % Command  : nanocop.sh %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Fri May 19 02:21:35 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.26/1.34  
% 0.26/1.34  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.26/1.34  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.34  %-----------------------------------------------------
% 0.26/1.34  ncf(matrix, plain, [(1077 ^ _212787) ^ [] : [-(leq(n0, 1074 ^ []))], (1079 ^ _212787) ^ [] : [-(leq(n0, 1075 ^ []))], (1081 ^ _212787) ^ [] : [-(leq(1074 ^ [], n5))], (1083 ^ _212787) ^ [] : [-(leq(1075 ^ [], n5))], (1183 ^ _212787) ^ [] : [times(divide(n1, n400), a_select2(sigma, n3)) = n0], (1085 ^ _212787) ^ [] : [n0 = 1075 ^ [], n4 = 1074 ^ []], (1091 ^ _212787) ^ [] : [n0 = 1075 ^ [], n5 = 1074 ^ []], (1097 ^ _212787) ^ [] : [n1 = 1075 ^ [], n4 = 1074 ^ []], (1103 ^ _212787) ^ [] : [n1 = 1075 ^ [], n5 = 1074 ^ []], (1109 ^ _212787) ^ [] : [n2 = 1074 ^ [], n5 = 1075 ^ []], (1115 ^ _212787) ^ [] : [n2 = 1075 ^ [], n4 = 1074 ^ []], (1121 ^ _212787) ^ [] : [n2 = 1075 ^ [], n5 = 1074 ^ []], (1127 ^ _212787) ^ [] : [n3 = 1074 ^ [], n4 = 1075 ^ []], (1133 ^ _212787) ^ [] : [n3 = 1074 ^ [], n5 = 1075 ^ []], (1139 ^ _212787) ^ [] : [n3 = 1075 ^ [], n4 = 1074 ^ []], (1145 ^ _212787) ^ [] : [n3 = 1075 ^ [], n5 = 1074 ^ []], (1151 ^ _212787) ^ [] : [n4 = 1074 ^ [], n4 = 1075 ^ []], (1157 ^ _212787) ^ [] : [n4 = 1074 ^ [], n5 = 1075 ^ []], (1163 ^ _212787) ^ [] : [n4 = 1075 ^ [], n5 = 1074 ^ []], (1175 ^ _212787) ^ [] : [-(n1 = 1074 ^ [])], (1177 ^ _212787) ^ [] : [-(n3 = 1074 ^ [])], (1179 ^ _212787) ^ [] : [-(n3 = 1075 ^ [])], (1181 ^ _212787) ^ [] : [-(n5 = 1075 ^ [])], (1169 ^ _212787) ^ [] : [n5 = 1074 ^ [], n5 = 1075 ^ []], (2 ^ _212787) ^ [_212931] : [-(_212931 = _212931)], (4 ^ _212787) ^ [_213038, _213040] : [_213040 = _213038, -(_213038 = _213040)], (10 ^ _212787) ^ [_213242, _213244, _213246] : [-(_213246 = _213242), _213246 = _213244, _213244 = _213242], (20 ^ _212787) ^ [_213583, _213585, _213587, _213589] : [-(lt(_213587, _213583)), lt(_213589, _213585), _213589 = _213587, _213585 = _213583], (34 ^ _212787) ^ [_214027, _214029, _214031, _214033] : [-(geq(_214031, _214027)), geq(_214033, _214029), _214033 = _214031, _214029 = _214027], (48 ^ _212787) ^ [_214471, _214473, _214475, _214477] : [-(gt(_214475, _214471)), gt(_214477, _214473), _214477 = _214475, _214473 = _214471], (62 ^ _212787) ^ [_214895, _214897, _214899, _214901] : [-(leq(_214899, _214895)), leq(_214901, _214897), _214901 = _214899, _214897 = _214895], (76 ^ _212787) ^ [_215351, _215353, _215355, _215357] : [-(uniform_int_rnd(_215357, _215353) = uniform_int_rnd(_215355, _215351)), _215357 = _215355, _215353 = _215351], (86 ^ _212787) ^ [_215710, _215712, _215714, _215716] : [-(tptp_const_array1(_215716, _215712) = tptp_const_array1(_215714, _215710)), _215716 = _215714, _215712 = _215710], (96 ^ _212787) ^ [_216097, _216099, _216101, _216103, _216105, _216107] : [-(tptp_const_array2(_216107, _216103, _216099) = tptp_const_array2(_216105, _216101, _216097)), _216107 = _216105, _216103 = _216101, _216099 = _216097], (110 ^ _212787) ^ [_216585, _216587, _216589, _216591] : [-(dim(_216591, _216587) = dim(_216589, _216585)), _216591 = _216589, _216587 = _216585], (120 ^ _212787) ^ [_216916, _216918] : [_216918 = _216916, -(inv(_216918) = inv(_216916))], (126 ^ _212787) ^ [_217162, _217164, _217166, _217168] : [-(tptp_msub(_217168, _217164) = tptp_msub(_217166, _217162)), _217168 = _217166, _217164 = _217162], (136 ^ _212787) ^ [_217521, _217523, _217525, _217527] : [-(tptp_madd(_217527, _217523) = tptp_madd(_217525, _217521)), _217527 = _217525, _217523 = _217521], (146 ^ _212787) ^ [_217880, _217882, _217884, _217886] : [-(tptp_mmul(_217886, _217882) = tptp_mmul(_217884, _217880)), _217886 = _217884, _217882 = _217880], (156 ^ _212787) ^ [_218211, _218213] : [_218213 = _218211, -(trans(_218213) = trans(_218211))], (162 ^ _212787) ^ [_218485, _218487, _218489, _218491, _218493, _218495] : [-(sum(_218495, _218491, _218487) = sum(_218493, _218489, _218485)), _218495 = _218493, _218491 = _218489, _218487 = _218485], (176 ^ _212787) ^ [_218973, _218975, _218977, _218979] : [-(plus(_218979, _218975) = plus(_218977, _218973)), _218979 = _218977, _218975 = _218973], (186 ^ _212787) ^ [_219304, _219306] : [_219306 = _219304, -(pred(_219306) = pred(_219304))], (192 ^ _212787) ^ [_219550, _219552, _219554, _219556] : [-(minus(_219556, _219552) = minus(_219554, _219550)), _219556 = _219554, _219552 = _219550], (202 ^ _212787) ^ [_219937, _219939, _219941, _219943, _219945, _219947] : [-(a_select3(_219947, _219943, _219939) = a_select3(_219945, _219941, _219937)), _219947 = _219945, _219943 = _219941, _219939 = _219937], (216 ^ _212787) ^ [_220481, _220483, _220485, _220487, _220489, _220491, _220493, _220495] : [-(tptp_update3(_220495, _220491, _220487, _220483) = tptp_update3(_220493, _220489, _220485, _220481)), _220495 = _220493, _220491 = _220489, _220487 = _220485, _220483 = _220481], (234 ^ _212787) ^ [_221142, _221144, _221146, _221148, _221150, _221152] : [-(tptp_update2(_221152, _221148, _221144) = tptp_update2(_221150, _221146, _221142)), _221152 = _221150, _221148 = _221146, _221144 = _221142], (248 ^ _212787) ^ [_221602, _221604] : [_221604 = _221602, -(succ(_221604) = succ(_221602))], (254 ^ _212787) ^ [_221848, _221850, _221852, _221854] : [-(times(_221854, _221850) = times(_221852, _221848)), _221854 = _221852, _221850 = _221848], (264 ^ _212787) ^ [_222207, _222209, _222211, _222213] : [-(divide(_222213, _222209) = divide(_222211, _222207)), _222213 = _222211, _222209 = _222207], (274 ^ _212787) ^ [_222546, _222548, _222550, _222552] : [-(a_select2(_222552, _222548) = a_select2(_222550, _222546)), _222552 = _222550, _222548 = _222546], (889 ^ _212787) ^ [] : [-(gt(n5, n4))], (891 ^ _212787) ^ [] : [-(gt(n400, n4))], (893 ^ _212787) ^ [] : [-(gt(n400, n5))], (895 ^ _212787) ^ [] : [-(gt(n4, tptp_minus_1))], (897 ^ _212787) ^ [] : [-(gt(n5, tptp_minus_1))], (899 ^ _212787) ^ [] : [-(gt(n400, tptp_minus_1))], (901 ^ _212787) ^ [] : [-(gt(n0, tptp_minus_1))], (903 ^ _212787) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _212787) ^ [] : [-(gt(n2, tptp_minus_1))], (907 ^ _212787) ^ [] : [-(gt(n3, tptp_minus_1))], (909 ^ _212787) ^ [] : [-(gt(n4, n0))], (911 ^ _212787) ^ [] : [-(gt(n5, n0))], (913 ^ _212787) ^ [] : [-(gt(n400, n0))], (915 ^ _212787) ^ [] : [-(gt(n1, n0))], (917 ^ _212787) ^ [] : [-(gt(n2, n0))], (919 ^ _212787) ^ [] : [-(gt(n3, n0))], (921 ^ _212787) ^ [] : [-(gt(n4, n1))], (923 ^ _212787) ^ [] : [-(gt(n5, n1))], (925 ^ _212787) ^ [] : [-(gt(n400, n1))], (927 ^ _212787) ^ [] : [-(gt(n2, n1))], (929 ^ _212787) ^ [] : [-(gt(n3, n1))], (931 ^ _212787) ^ [] : [-(gt(n4, n2))], (933 ^ _212787) ^ [] : [-(gt(n5, n2))], (935 ^ _212787) ^ [] : [-(gt(n400, n2))], (937 ^ _212787) ^ [] : [-(gt(n3, n2))], (939 ^ _212787) ^ [] : [-(gt(n4, n3))], (941 ^ _212787) ^ [] : [-(gt(n5, n3))], (943 ^ _212787) ^ [] : [-(gt(n400, n3))], (945 ^ _212787) ^ [_250394] : [leq(n0, _250394), leq(_250394, n4), -(_250394 = n0), -(_250394 = n1), -(_250394 = n2), -(_250394 = n3), -(_250394 = n4)], (971 ^ _212787) ^ [_251015] : [leq(n0, _251015), leq(_251015, n5), -(_251015 = n0), -(_251015 = n1), -(_251015 = n2), -(_251015 = n3), -(_251015 = n4), -(_251015 = n5)], (1001 ^ _212787) ^ [_251722] : [-(_251722 = n0), leq(n0, _251722), leq(_251722, n0)], (1011 ^ _212787) ^ [_251997] : [leq(n0, _251997), leq(_251997, n1), -(_251997 = n0), -(_251997 = n1)], (1025 ^ _212787) ^ [_252360] : [leq(n0, _252360), leq(_252360, n2), -(_252360 = n0), -(_252360 = n1), -(_252360 = n2)], (1065 ^ _212787) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1067 ^ _212787) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1069 ^ _212787) ^ [] : [-(succ(n0) = n1)], (1071 ^ _212787) ^ [] : [-(succ(succ(n0)) = n2)], (1073 ^ _212787) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1043 ^ _212787) ^ [_252809] : [leq(n0, _252809), leq(_252809, n3), -(_252809 = n0), -(_252809 = n1), -(_252809 = n2), -(_252809 = n3)], (284 ^ _212787) ^ [_222985, _222987] : [-(gt(_222987, _222985)), -(gt(_222985, _222987)), -(_222987 = _222985)], (294 ^ _212787) ^ [_223300, _223302, _223304] : [-(gt(_223304, _223300)), gt(_223304, _223302), gt(_223302, _223300)], (304 ^ _212787) ^ [_223579] : [gt(_223579, _223579)], (306 ^ _212787) ^ [_223657] : [-(leq(_223657, _223657))], (308 ^ _212787) ^ [_223778, _223780, _223782] : [-(leq(_223782, _223778)), leq(_223782, _223780), leq(_223780, _223778)], (318 ^ _212787) ^ [_224116, _224118] : [lt(_224118, _224116), -(gt(_224116, _224118))], (324 ^ _212787) ^ [_224278, _224280] : [gt(_224278, _224280), -(lt(_224280, _224278))], (330 ^ _212787) ^ [_224519, _224521] : [geq(_224521, _224519), -(leq(_224519, _224521))], (336 ^ _212787) ^ [_224681, _224683] : [leq(_224681, _224683), -(geq(_224683, _224681))], (342 ^ _212787) ^ [_224893, _224895] : [gt(_224893, _224895), -(leq(_224895, _224893))], (348 ^ _212787) ^ [_225103, _225105] : [-(gt(_225103, _225105)), leq(_225105, _225103), -(_225105 = _225103)], (358 ^ _212787) ^ [_225434, _225436] : [leq(_225436, pred(_225434)), -(gt(_225434, _225436))], (364 ^ _212787) ^ [_225600, _225602] : [gt(_225600, _225602), -(leq(_225602, pred(_225600)))], (370 ^ _212787) ^ [_225787] : [-(gt(succ(_225787), _225787))], (372 ^ _212787) ^ [_225896, _225898] : [leq(_225898, _225896), -(leq(_225898, succ(_225896)))], (378 ^ _212787) ^ [_226139, _226141] : [leq(_226141, _226139), -(gt(succ(_226139), _226141))], (384 ^ _212787) ^ [_226305, _226307] : [gt(succ(_226305), _226307), -(leq(_226307, _226305))], (390 ^ _212787) ^ [_226521, _226523] : [leq(n0, _226523), -(leq(uniform_int_rnd(_226521, _226523), _226523))], (396 ^ _212787) ^ [_226737, _226739] : [leq(n0, _226739), -(leq(n0, uniform_int_rnd(_226737, _226739)))], (402 ^ _212787) ^ [_226981, _226983, _226985, _226987] : [-(a_select2(tptp_const_array1(dim(_226985, _226983), _226981), _226987) = _226981), leq(_226985, _226987), leq(_226987, _226983)], (412 ^ _212787) ^ [_227388, _227390, _227392, _227394, _227396, _227398, _227400] : [-(a_select3(tptp_const_array2(dim(_227398, _227396), dim(_227392, _227390), _227388), _227400, _227394) = _227388), leq(_227398, _227400), leq(_227400, _227396), leq(_227392, _227394), leq(_227394, _227390)], (430 ^ _212787) ^ [_227983, _227985] : [433 ^ _212787 : [(434 ^ _212787) ^ [] : [-(leq(n0, 431 ^ [_227983, _227985]))], (436 ^ _212787) ^ [] : [-(leq(431 ^ [_227983, _227985], _227983))], (438 ^ _212787) ^ [] : [-(leq(n0, 432 ^ [_227983, _227985]))], (440 ^ _212787) ^ [] : [-(leq(432 ^ [_227983, _227985], _227983))], (442 ^ _212787) ^ [] : [a_select3(_227985, 431 ^ [_227983, _227985], 432 ^ [_227983, _227985]) = a_select3(_227985, 432 ^ [_227983, _227985], 431 ^ [_227983, _227985])]], 443 ^ _212787 : [(444 ^ _212787) ^ [_228740, _228742] : [-(a_select3(trans(_227985), _228742, _228740) = a_select3(trans(_227985), _228740, _228742)), leq(n0, _228742), leq(_228742, _227983), leq(n0, _228740), leq(_228740, _227983)]]], (462 ^ _212787) ^ [_229287, _229289] : [465 ^ _212787 : [(466 ^ _212787) ^ [] : [-(leq(n0, 463 ^ [_229287, _229289]))], (468 ^ _212787) ^ [] : [-(leq(463 ^ [_229287, _229289], _229287))], (470 ^ _212787) ^ [] : [-(leq(n0, 464 ^ [_229287, _229289]))], (472 ^ _212787) ^ [] : [-(leq(464 ^ [_229287, _229289], _229287))], (474 ^ _212787) ^ [] : [a_select3(_229289, 463 ^ [_229287, _229289], 464 ^ [_229287, _229289]) = a_select3(_229289, 464 ^ [_229287, _229289], 463 ^ [_229287, _229289])]], 475 ^ _212787 : [(476 ^ _212787) ^ [_230044, _230046] : [-(a_select3(inv(_229289), _230046, _230044) = a_select3(inv(_229289), _230044, _230046)), leq(n0, _230046), leq(_230046, _229287), leq(n0, _230044), leq(_230044, _229287)]]], (494 ^ _212787) ^ [_230591, _230593] : [497 ^ _212787 : [(498 ^ _212787) ^ [] : [-(leq(n0, 495 ^ [_230591, _230593]))], (500 ^ _212787) ^ [] : [-(leq(495 ^ [_230591, _230593], _230591))], (502 ^ _212787) ^ [] : [-(leq(n0, 496 ^ [_230591, _230593]))], (504 ^ _212787) ^ [] : [-(leq(496 ^ [_230591, _230593], _230591))], (506 ^ _212787) ^ [] : [a_select3(_230593, 495 ^ [_230591, _230593], 496 ^ [_230591, _230593]) = a_select3(_230593, 496 ^ [_230591, _230593], 495 ^ [_230591, _230593])]], 507 ^ _212787 : [(508 ^ _212787) ^ [_231404, _231406, _231408, _231410] : [-(a_select3(tptp_update3(_230593, _231406, _231406, _231404), _231410, _231408) = a_select3(tptp_update3(_230593, _231406, _231406, _231404), _231408, _231410)), leq(n0, _231410), leq(_231410, _230591), leq(n0, _231408), leq(_231408, _230591), leq(n0, _231406), leq(_231406, _230591)]]], (534 ^ _212787) ^ [_232223, _232225, _232227] : [539 ^ _212787 : [(540 ^ _212787) ^ [] : [-(leq(n0, 537 ^ [_232223, _232225, _232227]))], (542 ^ _212787) ^ [] : [-(leq(537 ^ [_232223, _232225, _232227], _232223))], (544 ^ _212787) ^ [] : [-(leq(n0, 538 ^ [_232223, _232225, _232227]))], (546 ^ _212787) ^ [] : [-(leq(538 ^ [_232223, _232225, _232227], _232223))], (548 ^ _212787) ^ [] : [a_select3(_232227, 537 ^ [_232223, _232225, _232227], 538 ^ [_232223, _232225, _232227]) = a_select3(_232227, 538 ^ [_232223, _232225, _232227], 537 ^ [_232223, _232225, _232227])]], 551 ^ _212787 : [(552 ^ _212787) ^ [] : [-(leq(n0, 549 ^ [_232223, _232225, _232227]))], (554 ^ _212787) ^ [] : [-(leq(549 ^ [_232223, _232225, _232227], _232223))], (556 ^ _212787) ^ [] : [-(leq(n0, 550 ^ [_232223, _232225, _232227]))], (558 ^ _212787) ^ [] : [-(leq(550 ^ [_232223, _232225, _232227], _232223))], (560 ^ _212787) ^ [] : [a_select3(_232225, 549 ^ [_232223, _232225, _232227], 550 ^ [_232223, _232225, _232227]) = a_select3(_232225, 550 ^ [_232223, _232225, _232227], 549 ^ [_232223, _232225, _232227])]], 561 ^ _212787 : [(562 ^ _212787) ^ [_233732, _233734] : [-(a_select3(tptp_madd(_232227, _232225), _233734, _233732) = a_select3(tptp_madd(_232227, _232225), _233732, _233734)), leq(n0, _233734), leq(_233734, _232223), leq(n0, _233732), leq(_233732, _232223)]]], (580 ^ _212787) ^ [_234318, _234320, _234322] : [585 ^ _212787 : [(586 ^ _212787) ^ [] : [-(leq(n0, 583 ^ [_234318, _234320, _234322]))], (588 ^ _212787) ^ [] : [-(leq(583 ^ [_234318, _234320, _234322], _234318))], (590 ^ _212787) ^ [] : [-(leq(n0, 584 ^ [_234318, _234320, _234322]))], (592 ^ _212787) ^ [] : [-(leq(584 ^ [_234318, _234320, _234322], _234318))], (594 ^ _212787) ^ [] : [a_select3(_234322, 583 ^ [_234318, _234320, _234322], 584 ^ [_234318, _234320, _234322]) = a_select3(_234322, 584 ^ [_234318, _234320, _234322], 583 ^ [_234318, _234320, _234322])]], 597 ^ _212787 : [(598 ^ _212787) ^ [] : [-(leq(n0, 595 ^ [_234318, _234320, _234322]))], (600 ^ _212787) ^ [] : [-(leq(595 ^ [_234318, _234320, _234322], _234318))], (602 ^ _212787) ^ [] : [-(leq(n0, 596 ^ [_234318, _234320, _234322]))], (604 ^ _212787) ^ [] : [-(leq(596 ^ [_234318, _234320, _234322], _234318))], (606 ^ _212787) ^ [] : [a_select3(_234320, 595 ^ [_234318, _234320, _234322], 596 ^ [_234318, _234320, _234322]) = a_select3(_234320, 596 ^ [_234318, _234320, _234322], 595 ^ [_234318, _234320, _234322])]], 607 ^ _212787 : [(608 ^ _212787) ^ [_235827, _235829] : [-(a_select3(tptp_msub(_234322, _234320), _235829, _235827) = a_select3(tptp_msub(_234322, _234320), _235827, _235829)), leq(n0, _235829), leq(_235829, _234318), leq(n0, _235827), leq(_235827, _234318)]]], (626 ^ _212787) ^ [_236413, _236415, _236417] : [629 ^ _212787 : [(630 ^ _212787) ^ [] : [-(leq(n0, 627 ^ [_236413, _236415, _236417]))], (632 ^ _212787) ^ [] : [-(leq(627 ^ [_236413, _236415, _236417], _236413))], (634 ^ _212787) ^ [] : [-(leq(n0, 628 ^ [_236413, _236415, _236417]))], (636 ^ _212787) ^ [] : [-(leq(628 ^ [_236413, _236415, _236417], _236413))], (638 ^ _212787) ^ [] : [a_select3(_236415, 627 ^ [_236413, _236415, _236417], 628 ^ [_236413, _236415, _236417]) = a_select3(_236415, 628 ^ [_236413, _236415, _236417], 627 ^ [_236413, _236415, _236417])]], 639 ^ _212787 : [(640 ^ _212787) ^ [_237226, _237228] : [-(a_select3(tptp_mmul(_236417, tptp_mmul(_236415, trans(_236417))), _237228, _237226) = a_select3(tptp_mmul(_236417, tptp_mmul(_236415, trans(_236417))), _237226, _237228)), leq(n0, _237228), leq(_237228, _236413), leq(n0, _237226), leq(_237226, _236413)]]], (658 ^ _212787) ^ [_237845, _237847, _237849, _237851] : [661 ^ _212787 : [(662 ^ _212787) ^ [] : [-(leq(n0, 659 ^ [_237845, _237847, _237849, _237851]))], (664 ^ _212787) ^ [] : [-(leq(659 ^ [_237845, _237847, _237849, _237851], _237845))], (666 ^ _212787) ^ [] : [-(leq(n0, 660 ^ [_237845, _237847, _237849, _237851]))], (668 ^ _212787) ^ [] : [-(leq(660 ^ [_237845, _237847, _237849, _237851], _237845))], (670 ^ _212787) ^ [] : [a_select3(_237849, 659 ^ [_237845, _237847, _237849, _237851], 660 ^ [_237845, _237847, _237849, _237851]) = a_select3(_237849, 660 ^ [_237845, _237847, _237849, _237851], 659 ^ [_237845, _237847, _237849, _237851])]], 671 ^ _212787 : [(672 ^ _212787) ^ [_238702, _238704] : [-(a_select3(tptp_mmul(_237851, tptp_mmul(_237849, trans(_237851))), _238704, _238702) = a_select3(tptp_mmul(_237851, tptp_mmul(_237849, trans(_237851))), _238702, _238704)), leq(n0, _238704), leq(_238704, _237847), leq(n0, _238702), leq(_238702, _237847)]]], (690 ^ _212787) ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411] : [695 ^ _212787 : [(696 ^ _212787) ^ [] : [-(leq(n0, 693 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (698 ^ _212787) ^ [] : [-(leq(693 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239397))], (700 ^ _212787) ^ [] : [-(leq(n0, 694 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (702 ^ _212787) ^ [] : [-(leq(694 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239397))], (704 ^ _212787) ^ [] : [a_select3(_239405, 693 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 694 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]) = a_select3(_239405, 694 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 693 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411])]], 709 ^ _212787 : [(710 ^ _212787) ^ [] : [-(leq(n0, 707 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (712 ^ _212787) ^ [] : [-(leq(707 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239399))], (714 ^ _212787) ^ [] : [-(leq(n0, 708 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (716 ^ _212787) ^ [] : [-(leq(708 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239399))], (718 ^ _212787) ^ [] : [a_select3(_239411, 707 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 708 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]) = a_select3(_239411, 708 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 707 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411])]], 721 ^ _212787 : [(722 ^ _212787) ^ [] : [-(leq(n0, 719 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (724 ^ _212787) ^ [] : [-(leq(719 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239399))], (726 ^ _212787) ^ [] : [-(leq(n0, 720 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]))], (728 ^ _212787) ^ [] : [-(leq(720 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], _239399))], (730 ^ _212787) ^ [] : [a_select3(_239401, 719 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 720 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411]) = a_select3(_239401, 720 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411], 719 ^ [_239397, _239399, _239401, _239403, _239405, _239407, _239409, _239411])]], 731 ^ _212787 : [(732 ^ _212787) ^ [_242325, _242327] : [-(a_select3(tptp_madd(_239411, tptp_mmul(_239409, tptp_mmul(tptp_madd(tptp_mmul(_239407, tptp_mmul(_239405, trans(_239407))), tptp_mmul(_239403, tptp_mmul(_239401, trans(_239403)))), trans(_239409)))), _242327, _242325) = a_select3(tptp_madd(_239411, tptp_mmul(_239409, tptp_mmul(tptp_madd(tptp_mmul(_239407, tptp_mmul(_239405, trans(_239407))), tptp_mmul(_239403, tptp_mmul(_239401, trans(_239403)))), trans(_239409)))), _242325, _242327)), leq(n0, _242327), leq(_242327, _239399), leq(n0, _242325), leq(_242325, _239399)]]], (750 ^ _212787) ^ [_243078] : [-(sum(n0, tptp_minus_1, _243078) = n0)], (752 ^ _212787) ^ [_243160] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _243160))], (754 ^ _212787) ^ [] : [-(succ(tptp_minus_1) = n0)], (756 ^ _212787) ^ [_243295] : [-(plus(_243295, n1) = succ(_243295))], (758 ^ _212787) ^ [_243378] : [-(plus(n1, _243378) = succ(_243378))], (760 ^ _212787) ^ [_243461] : [-(plus(_243461, n2) = succ(succ(_243461)))], (762 ^ _212787) ^ [_243546] : [-(plus(n2, _243546) = succ(succ(_243546)))], (764 ^ _212787) ^ [_243631] : [-(plus(_243631, n3) = succ(succ(succ(_243631))))], (766 ^ _212787) ^ [_243718] : [-(plus(n3, _243718) = succ(succ(succ(_243718))))], (768 ^ _212787) ^ [_243805] : [-(plus(_243805, n4) = succ(succ(succ(succ(_243805)))))], (770 ^ _212787) ^ [_243894] : [-(plus(n4, _243894) = succ(succ(succ(succ(_243894)))))], (772 ^ _212787) ^ [_243983] : [-(plus(_243983, n5) = succ(succ(succ(succ(succ(_243983))))))], (774 ^ _212787) ^ [_244074] : [-(plus(n5, _244074) = succ(succ(succ(succ(succ(_244074))))))], (776 ^ _212787) ^ [_244165] : [-(minus(_244165, n1) = pred(_244165))], (778 ^ _212787) ^ [_244248] : [-(pred(succ(_244248)) = _244248)], (780 ^ _212787) ^ [_244330] : [-(succ(pred(_244330)) = _244330)], (782 ^ _212787) ^ [_244470, _244472] : [leq(succ(_244472), succ(_244470)), -(leq(_244472, _244470))], (788 ^ _212787) ^ [_244640, _244642] : [leq(_244642, _244640), -(leq(succ(_244642), succ(_244640)))], (794 ^ _212787) ^ [_244860, _244862] : [leq(succ(_244862), _244860), -(gt(_244860, _244862))], (800 ^ _212787) ^ [_245074, _245076] : [leq(minus(_245076, _245074), _245076), -(leq(n0, _245074))], (806 ^ _212787) ^ [_245303, _245305, _245307, _245309] : [-(a_select3(tptp_update3(_245309, _245307, _245305, _245303), _245307, _245305) = _245303)], (808 ^ _212787) ^ [_245495, _245497, _245499, _245501, _245503, _245505, _245507] : [-(a_select3(tptp_update3(_245499, _245507, _245505, _245495), _245503, _245501) = _245497), -(_245507 = _245503), _245505 = _245501, a_select3(_245499, _245503, _245501) = _245497], (822 ^ _212787) ^ [_246038, _246040, _246042, _246044, _246046, _246048] : [-(a_select3(tptp_update3(_246040, _246044, _246042, _246038), _246048, _246046) = _246038), 827 ^ _212787 : [(828 ^ _212787) ^ [] : [-(leq(n0, 825 ^ [_246038, _246040, _246042, _246044, _246046, _246048]))], (830 ^ _212787) ^ [] : [-(leq(n0, 826 ^ [_246038, _246040, _246042, _246044, _246046, _246048]))], (832 ^ _212787) ^ [] : [-(leq(825 ^ [_246038, _246040, _246042, _246044, _246046, _246048], _246044))], (834 ^ _212787) ^ [] : [-(leq(826 ^ [_246038, _246040, _246042, _246044, _246046, _246048], _246042))], (836 ^ _212787) ^ [] : [a_select3(_246040, 825 ^ [_246038, _246040, _246042, _246044, _246046, _246048], 826 ^ [_246038, _246040, _246042, _246044, _246046, _246048]) = _246038]], leq(n0, _246048), leq(_246048, _246044), leq(n0, _246046), leq(_246046, _246042)], (854 ^ _212787) ^ [_247380, _247382, _247384] : [-(a_select2(tptp_update2(_247384, _247382, _247380), _247382) = _247380)], (856 ^ _212787) ^ [_247540, _247542, _247544, _247546, _247548] : [-(a_select2(tptp_update2(_247544, _247548, _247540), _247546) = _247542), -(_247548 = _247546), a_select2(_247544, _247546) = _247542], (885 ^ _212787) ^ [] : [-(true)], (887 ^ _212787) ^ [] : [def = use], (866 ^ _212787) ^ [_247920, _247922, _247924, _247926] : [-(a_select2(tptp_update2(_247922, _247924, _247920), _247926) = _247920), 870 ^ _212787 : [(871 ^ _212787) ^ [] : [-(leq(n0, 869 ^ [_247920, _247922, _247924, _247926]))], (873 ^ _212787) ^ [] : [-(leq(869 ^ [_247920, _247922, _247924, _247926], _247924))], (875 ^ _212787) ^ [] : [a_select2(_247922, 869 ^ [_247920, _247922, _247924, _247926]) = _247920]], leq(n0, _247926), leq(_247926, _247924)]], input).
% 0.26/1.34  ncf('1',plain,[n3 = 1074 ^ [], n5 = 1075 ^ []],start(1133 ^ 0)).
% 0.26/1.34  ncf('1.1',plain,[-(n3 = 1074 ^ [])],extension(1177 ^ 1)).
% 0.26/1.34  ncf('1.2',plain,[-(n5 = 1075 ^ [])],extension(1181 ^ 1)).
% 0.26/1.34  %-----------------------------------------------------
% 0.26/1.34  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------