%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV047+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 12:19:50 EDT 2023
% Result : Theorem 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV047+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n009.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 02:36:32 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(1065 ^ _200877) ^ [] : [-(pv78 = sum(n0, minus(n135300, n1), a_select3(q, pv79, pv35)))], (1067 ^ _200877) ^ [] : [-(pv82 = sum(n0, minus(n135300, n1), times(minus(a_select2(x, pv83), a_select2(mu, pv35)), times(minus(a_select2(x, pv83), a_select2(mu, pv35)), a_select3(q, pv83, pv35)))))], (1069 ^ _200877) ^ [] : [-(leq(n0, pv35))], (1071 ^ _200877) ^ [] : [-(leq(pv35, minus(n5, n1)))], (1073 ^ _200877) ^ [] : [true], (2 ^ _200877) ^ [_201021] : [-(_201021 = _201021)], (4 ^ _200877) ^ [_201128, _201130] : [_201130 = _201128, -(_201128 = _201130)], (10 ^ _200877) ^ [_201332, _201334, _201336] : [-(_201336 = _201332), _201336 = _201334, _201334 = _201332], (20 ^ _200877) ^ [_201673, _201675, _201677, _201679] : [-(lt(_201677, _201673)), lt(_201679, _201675), _201679 = _201677, _201675 = _201673], (34 ^ _200877) ^ [_202117, _202119, _202121, _202123] : [-(geq(_202121, _202117)), geq(_202123, _202119), _202123 = _202121, _202119 = _202117], (48 ^ _200877) ^ [_202561, _202563, _202565, _202567] : [-(gt(_202565, _202561)), gt(_202567, _202563), _202567 = _202565, _202563 = _202561], (62 ^ _200877) ^ [_202985, _202987, _202989, _202991] : [-(leq(_202989, _202985)), leq(_202991, _202987), _202991 = _202989, _202987 = _202985], (76 ^ _200877) ^ [_203441, _203443, _203445, _203447] : [-(uniform_int_rnd(_203447, _203443) = uniform_int_rnd(_203445, _203441)), _203447 = _203445, _203443 = _203441], (86 ^ _200877) ^ [_203800, _203802, _203804, _203806] : [-(tptp_const_array1(_203806, _203802) = tptp_const_array1(_203804, _203800)), _203806 = _203804, _203802 = _203800], (96 ^ _200877) ^ [_204187, _204189, _204191, _204193, _204195, _204197] : [-(tptp_const_array2(_204197, _204193, _204189) = tptp_const_array2(_204195, _204191, _204187)), _204197 = _204195, _204193 = _204191, _204189 = _204187], (110 ^ _200877) ^ [_204675, _204677, _204679, _204681] : [-(dim(_204681, _204677) = dim(_204679, _204675)), _204681 = _204679, _204677 = _204675], (120 ^ _200877) ^ [_205006, _205008] : [_205008 = _205006, -(inv(_205008) = inv(_205006))], (126 ^ _200877) ^ [_205252, _205254, _205256, _205258] : [-(tptp_msub(_205258, _205254) = tptp_msub(_205256, _205252)), _205258 = _205256, _205254 = _205252], (136 ^ _200877) ^ [_205611, _205613, _205615, _205617] : [-(tptp_madd(_205617, _205613) = tptp_madd(_205615, _205611)), _205617 = _205615, _205613 = _205611], (146 ^ _200877) ^ [_205970, _205972, _205974, _205976] : [-(tptp_mmul(_205976, _205972) = tptp_mmul(_205974, _205970)), _205976 = _205974, _205972 = _205970], (156 ^ _200877) ^ [_206301, _206303] : [_206303 = _206301, -(trans(_206303) = trans(_206301))], (162 ^ _200877) ^ [_206547, _206549, _206551, _206553] : [-(plus(_206553, _206549) = plus(_206551, _206547)), _206553 = _206551, _206549 = _206547], (172 ^ _200877) ^ [_206878, _206880] : [_206880 = _206878, -(pred(_206880) = pred(_206878))], (178 ^ _200877) ^ [_207180, _207182, _207184, _207186, _207188, _207190, _207192, _207194] : [-(tptp_update3(_207194, _207190, _207186, _207182) = tptp_update3(_207192, _207188, _207184, _207180)), _207194 = _207192, _207190 = _207188, _207186 = _207184, _207182 = _207180], (196 ^ _200877) ^ [_207841, _207843, _207845, _207847, _207849, _207851] : [-(tptp_update2(_207851, _207847, _207843) = tptp_update2(_207849, _207845, _207841)), _207851 = _207849, _207847 = _207845, _207843 = _207841], (210 ^ _200877) ^ [_208301, _208303] : [_208303 = _208301, -(succ(_208303) = succ(_208301))], (216 ^ _200877) ^ [_208575, _208577, _208579, _208581, _208583, _208585] : [-(sum(_208585, _208581, _208577) = sum(_208583, _208579, _208575)), _208585 = _208583, _208581 = _208579, _208577 = _208575], (230 ^ _200877) ^ [_209063, _209065, _209067, _209069] : [-(times(_209069, _209065) = times(_209067, _209063)), _209069 = _209067, _209065 = _209063], (240 ^ _200877) ^ [_209422, _209424, _209426, _209428] : [-(a_select2(_209428, _209424) = a_select2(_209426, _209422)), _209428 = _209426, _209424 = _209422], (264 ^ _200877) ^ [_210277, _210279, _210281, _210283] : [-(minus(_210283, _210279) = minus(_210281, _210277)), _210283 = _210281, _210279 = _210277], (250 ^ _200877) ^ [_209809, _209811, _209813, _209815, _209817, _209819] : [-(a_select3(_209819, _209815, _209811) = a_select3(_209817, _209813, _209809)), _209819 = _209817, _209815 = _209813, _209811 = _209809], (879 ^ _200877) ^ [] : [-(gt(n5, n4))], (881 ^ _200877) ^ [] : [-(gt(n135300, n4))], (883 ^ _200877) ^ [] : [-(gt(n135300, n5))], (885 ^ _200877) ^ [] : [-(gt(n4, tptp_minus_1))], (887 ^ _200877) ^ [] : [-(gt(n5, tptp_minus_1))], (889 ^ _200877) ^ [] : [-(gt(n135300, tptp_minus_1))], (891 ^ _200877) ^ [] : [-(gt(n0, tptp_minus_1))], (893 ^ _200877) ^ [] : [-(gt(n1, tptp_minus_1))], (895 ^ _200877) ^ [] : [-(gt(n2, tptp_minus_1))], (897 ^ _200877) ^ [] : [-(gt(n3, tptp_minus_1))], (899 ^ _200877) ^ [] : [-(gt(n4, n0))], (901 ^ _200877) ^ [] : [-(gt(n5, n0))], (903 ^ _200877) ^ [] : [-(gt(n135300, n0))], (905 ^ _200877) ^ [] : [-(gt(n1, n0))], (907 ^ _200877) ^ [] : [-(gt(n2, n0))], (909 ^ _200877) ^ [] : [-(gt(n3, n0))], (911 ^ _200877) ^ [] : [-(gt(n4, n1))], (913 ^ _200877) ^ [] : [-(gt(n5, n1))], (915 ^ _200877) ^ [] : [-(gt(n135300, n1))], (917 ^ _200877) ^ [] : [-(gt(n2, n1))], (919 ^ _200877) ^ [] : [-(gt(n3, n1))], (921 ^ _200877) ^ [] : [-(gt(n4, n2))], (923 ^ _200877) ^ [] : [-(gt(n5, n2))], (925 ^ _200877) ^ [] : [-(gt(n135300, n2))], (927 ^ _200877) ^ [] : [-(gt(n3, n2))], (929 ^ _200877) ^ [] : [-(gt(n4, n3))], (931 ^ _200877) ^ [] : [-(gt(n5, n3))], (933 ^ _200877) ^ [] : [-(gt(n135300, n3))], (935 ^ _200877) ^ [_238119] : [leq(n0, _238119), leq(_238119, n4), -(_238119 = n0), -(_238119 = n1), -(_238119 = n2), -(_238119 = n3), -(_238119 = n4)], (961 ^ _200877) ^ [_238740] : [leq(n0, _238740), leq(_238740, n5), -(_238740 = n0), -(_238740 = n1), -(_238740 = n2), -(_238740 = n3), -(_238740 = n4), -(_238740 = n5)], (991 ^ _200877) ^ [_239447] : [-(_239447 = n0), leq(n0, _239447), leq(_239447, n0)], (1001 ^ _200877) ^ [_239722] : [leq(n0, _239722), leq(_239722, n1), -(_239722 = n0), -(_239722 = n1)], (1015 ^ _200877) ^ [_240085] : [leq(n0, _240085), leq(_240085, n2), -(_240085 = n0), -(_240085 = n1), -(_240085 = n2)], (1055 ^ _200877) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1057 ^ _200877) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1059 ^ _200877) ^ [] : [-(succ(n0) = n1)], (1061 ^ _200877) ^ [] : [-(succ(succ(n0)) = n2)], (1063 ^ _200877) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1033 ^ _200877) ^ [_240534] : [leq(n0, _240534), leq(_240534, n3), -(_240534 = n0), -(_240534 = n1), -(_240534 = n2), -(_240534 = n3)], (274 ^ _200877) ^ [_210710, _210712] : [-(gt(_210712, _210710)), -(gt(_210710, _210712)), -(_210712 = _210710)], (284 ^ _200877) ^ [_211025, _211027, _211029] : [-(gt(_211029, _211025)), gt(_211029, _211027), gt(_211027, _211025)], (294 ^ _200877) ^ [_211304] : [gt(_211304, _211304)], (296 ^ _200877) ^ [_211382] : [-(leq(_211382, _211382))], (298 ^ _200877) ^ [_211503, _211505, _211507] : [-(leq(_211507, _211503)), leq(_211507, _211505), leq(_211505, _211503)], (308 ^ _200877) ^ [_211841, _211843] : [lt(_211843, _211841), -(gt(_211841, _211843))], (314 ^ _200877) ^ [_212003, _212005] : [gt(_212003, _212005), -(lt(_212005, _212003))], (320 ^ _200877) ^ [_212244, _212246] : [geq(_212246, _212244), -(leq(_212244, _212246))], (326 ^ _200877) ^ [_212406, _212408] : [leq(_212406, _212408), -(geq(_212408, _212406))], (332 ^ _200877) ^ [_212618, _212620] : [gt(_212618, _212620), -(leq(_212620, _212618))], (338 ^ _200877) ^ [_212828, _212830] : [-(gt(_212828, _212830)), leq(_212830, _212828), -(_212830 = _212828)], (348 ^ _200877) ^ [_213159, _213161] : [leq(_213161, pred(_213159)), -(gt(_213159, _213161))], (354 ^ _200877) ^ [_213325, _213327] : [gt(_213325, _213327), -(leq(_213327, pred(_213325)))], (360 ^ _200877) ^ [_213512] : [-(gt(succ(_213512), _213512))], (362 ^ _200877) ^ [_213621, _213623] : [leq(_213623, _213621), -(leq(_213623, succ(_213621)))], (368 ^ _200877) ^ [_213864, _213866] : [leq(_213866, _213864), -(gt(succ(_213864), _213866))], (374 ^ _200877) ^ [_214030, _214032] : [gt(succ(_214030), _214032), -(leq(_214032, _214030))], (380 ^ _200877) ^ [_214246, _214248] : [leq(n0, _214248), -(leq(uniform_int_rnd(_214246, _214248), _214248))], (386 ^ _200877) ^ [_214462, _214464] : [leq(n0, _214464), -(leq(n0, uniform_int_rnd(_214462, _214464)))], (392 ^ _200877) ^ [_214706, _214708, _214710, _214712] : [-(a_select2(tptp_const_array1(dim(_214710, _214708), _214706), _214712) = _214706), leq(_214710, _214712), leq(_214712, _214708)], (402 ^ _200877) ^ [_215113, _215115, _215117, _215119, _215121, _215123, _215125] : [-(a_select3(tptp_const_array2(dim(_215123, _215121), dim(_215117, _215115), _215113), _215125, _215119) = _215113), leq(_215123, _215125), leq(_215125, _215121), leq(_215117, _215119), leq(_215119, _215115)], (420 ^ _200877) ^ [_215708, _215710] : [423 ^ _200877 : [(424 ^ _200877) ^ [] : [-(leq(n0, 421 ^ [_215708, _215710]))], (426 ^ _200877) ^ [] : [-(leq(421 ^ [_215708, _215710], _215708))], (428 ^ _200877) ^ [] : [-(leq(n0, 422 ^ [_215708, _215710]))], (430 ^ _200877) ^ [] : [-(leq(422 ^ [_215708, _215710], _215708))], (432 ^ _200877) ^ [] : [a_select3(_215710, 421 ^ [_215708, _215710], 422 ^ [_215708, _215710]) = a_select3(_215710, 422 ^ [_215708, _215710], 421 ^ [_215708, _215710])]], 433 ^ _200877 : [(434 ^ _200877) ^ [_216465, _216467] : [-(a_select3(trans(_215710), _216467, _216465) = a_select3(trans(_215710), _216465, _216467)), leq(n0, _216467), leq(_216467, _215708), leq(n0, _216465), leq(_216465, _215708)]]], (452 ^ _200877) ^ [_217012, _217014] : [455 ^ _200877 : [(456 ^ _200877) ^ [] : [-(leq(n0, 453 ^ [_217012, _217014]))], (458 ^ _200877) ^ [] : [-(leq(453 ^ [_217012, _217014], _217012))], (460 ^ _200877) ^ [] : [-(leq(n0, 454 ^ [_217012, _217014]))], (462 ^ _200877) ^ [] : [-(leq(454 ^ [_217012, _217014], _217012))], (464 ^ _200877) ^ [] : [a_select3(_217014, 453 ^ [_217012, _217014], 454 ^ [_217012, _217014]) = a_select3(_217014, 454 ^ [_217012, _217014], 453 ^ [_217012, _217014])]], 465 ^ _200877 : [(466 ^ _200877) ^ [_217769, _217771] : [-(a_select3(inv(_217014), _217771, _217769) = a_select3(inv(_217014), _217769, _217771)), leq(n0, _217771), leq(_217771, _217012), leq(n0, _217769), leq(_217769, _217012)]]], (484 ^ _200877) ^ [_218316, _218318] : [487 ^ _200877 : [(488 ^ _200877) ^ [] : [-(leq(n0, 485 ^ [_218316, _218318]))], (490 ^ _200877) ^ [] : [-(leq(485 ^ [_218316, _218318], _218316))], (492 ^ _200877) ^ [] : [-(leq(n0, 486 ^ [_218316, _218318]))], (494 ^ _200877) ^ [] : [-(leq(486 ^ [_218316, _218318], _218316))], (496 ^ _200877) ^ [] : [a_select3(_218318, 485 ^ [_218316, _218318], 486 ^ [_218316, _218318]) = a_select3(_218318, 486 ^ [_218316, _218318], 485 ^ [_218316, _218318])]], 497 ^ _200877 : [(498 ^ _200877) ^ [_219129, _219131, _219133, _219135] : [-(a_select3(tptp_update3(_218318, _219131, _219131, _219129), _219135, _219133) = a_select3(tptp_update3(_218318, _219131, _219131, _219129), _219133, _219135)), leq(n0, _219135), leq(_219135, _218316), leq(n0, _219133), leq(_219133, _218316), leq(n0, _219131), leq(_219131, _218316)]]], (524 ^ _200877) ^ [_219948, _219950, _219952] : [529 ^ _200877 : [(530 ^ _200877) ^ [] : [-(leq(n0, 527 ^ [_219948, _219950, _219952]))], (532 ^ _200877) ^ [] : [-(leq(527 ^ [_219948, _219950, _219952], _219948))], (534 ^ _200877) ^ [] : [-(leq(n0, 528 ^ [_219948, _219950, _219952]))], (536 ^ _200877) ^ [] : [-(leq(528 ^ [_219948, _219950, _219952], _219948))], (538 ^ _200877) ^ [] : [a_select3(_219952, 527 ^ [_219948, _219950, _219952], 528 ^ [_219948, _219950, _219952]) = a_select3(_219952, 528 ^ [_219948, _219950, _219952], 527 ^ [_219948, _219950, _219952])]], 541 ^ _200877 : [(542 ^ _200877) ^ [] : [-(leq(n0, 539 ^ [_219948, _219950, _219952]))], (544 ^ _200877) ^ [] : [-(leq(539 ^ [_219948, _219950, _219952], _219948))], (546 ^ _200877) ^ [] : [-(leq(n0, 540 ^ [_219948, _219950, _219952]))], (548 ^ _200877) ^ [] : [-(leq(540 ^ [_219948, _219950, _219952], _219948))], (550 ^ _200877) ^ [] : [a_select3(_219950, 539 ^ [_219948, _219950, _219952], 540 ^ [_219948, _219950, _219952]) = a_select3(_219950, 540 ^ [_219948, _219950, _219952], 539 ^ [_219948, _219950, _219952])]], 551 ^ _200877 : [(552 ^ _200877) ^ [_221457, _221459] : [-(a_select3(tptp_madd(_219952, _219950), _221459, _221457) = a_select3(tptp_madd(_219952, _219950), _221457, _221459)), leq(n0, _221459), leq(_221459, _219948), leq(n0, _221457), leq(_221457, _219948)]]], (570 ^ _200877) ^ [_222043, _222045, _222047] : [575 ^ _200877 : [(576 ^ _200877) ^ [] : [-(leq(n0, 573 ^ [_222043, _222045, _222047]))], (578 ^ _200877) ^ [] : [-(leq(573 ^ [_222043, _222045, _222047], _222043))], (580 ^ _200877) ^ [] : [-(leq(n0, 574 ^ [_222043, _222045, _222047]))], (582 ^ _200877) ^ [] : [-(leq(574 ^ [_222043, _222045, _222047], _222043))], (584 ^ _200877) ^ [] : [a_select3(_222047, 573 ^ [_222043, _222045, _222047], 574 ^ [_222043, _222045, _222047]) = a_select3(_222047, 574 ^ [_222043, _222045, _222047], 573 ^ [_222043, _222045, _222047])]], 587 ^ _200877 : [(588 ^ _200877) ^ [] : [-(leq(n0, 585 ^ [_222043, _222045, _222047]))], (590 ^ _200877) ^ [] : [-(leq(585 ^ [_222043, _222045, _222047], _222043))], (592 ^ _200877) ^ [] : [-(leq(n0, 586 ^ [_222043, _222045, _222047]))], (594 ^ _200877) ^ [] : [-(leq(586 ^ [_222043, _222045, _222047], _222043))], (596 ^ _200877) ^ [] : [a_select3(_222045, 585 ^ [_222043, _222045, _222047], 586 ^ [_222043, _222045, _222047]) = a_select3(_222045, 586 ^ [_222043, _222045, _222047], 585 ^ [_222043, _222045, _222047])]], 597 ^ _200877 : [(598 ^ _200877) ^ [_223552, _223554] : [-(a_select3(tptp_msub(_222047, _222045), _223554, _223552) = a_select3(tptp_msub(_222047, _222045), _223552, _223554)), leq(n0, _223554), leq(_223554, _222043), leq(n0, _223552), leq(_223552, _222043)]]], (616 ^ _200877) ^ [_224138, _224140, _224142] : [619 ^ _200877 : [(620 ^ _200877) ^ [] : [-(leq(n0, 617 ^ [_224138, _224140, _224142]))], (622 ^ _200877) ^ [] : [-(leq(617 ^ [_224138, _224140, _224142], _224138))], (624 ^ _200877) ^ [] : [-(leq(n0, 618 ^ [_224138, _224140, _224142]))], (626 ^ _200877) ^ [] : [-(leq(618 ^ [_224138, _224140, _224142], _224138))], (628 ^ _200877) ^ [] : [a_select3(_224140, 617 ^ [_224138, _224140, _224142], 618 ^ [_224138, _224140, _224142]) = a_select3(_224140, 618 ^ [_224138, _224140, _224142], 617 ^ [_224138, _224140, _224142])]], 629 ^ _200877 : [(630 ^ _200877) ^ [_224951, _224953] : [-(a_select3(tptp_mmul(_224142, tptp_mmul(_224140, trans(_224142))), _224953, _224951) = a_select3(tptp_mmul(_224142, tptp_mmul(_224140, trans(_224142))), _224951, _224953)), leq(n0, _224953), leq(_224953, _224138), leq(n0, _224951), leq(_224951, _224138)]]], (648 ^ _200877) ^ [_225570, _225572, _225574, _225576] : [651 ^ _200877 : [(652 ^ _200877) ^ [] : [-(leq(n0, 649 ^ [_225570, _225572, _225574, _225576]))], (654 ^ _200877) ^ [] : [-(leq(649 ^ [_225570, _225572, _225574, _225576], _225570))], (656 ^ _200877) ^ [] : [-(leq(n0, 650 ^ [_225570, _225572, _225574, _225576]))], (658 ^ _200877) ^ [] : [-(leq(650 ^ [_225570, _225572, _225574, _225576], _225570))], (660 ^ _200877) ^ [] : [a_select3(_225574, 649 ^ [_225570, _225572, _225574, _225576], 650 ^ [_225570, _225572, _225574, _225576]) = a_select3(_225574, 650 ^ [_225570, _225572, _225574, _225576], 649 ^ [_225570, _225572, _225574, _225576])]], 661 ^ _200877 : [(662 ^ _200877) ^ [_226427, _226429] : [-(a_select3(tptp_mmul(_225576, tptp_mmul(_225574, trans(_225576))), _226429, _226427) = a_select3(tptp_mmul(_225576, tptp_mmul(_225574, trans(_225576))), _226427, _226429)), leq(n0, _226429), leq(_226429, _225572), leq(n0, _226427), leq(_226427, _225572)]]], (680 ^ _200877) ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136] : [685 ^ _200877 : [(686 ^ _200877) ^ [] : [-(leq(n0, 683 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (688 ^ _200877) ^ [] : [-(leq(683 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227122))], (690 ^ _200877) ^ [] : [-(leq(n0, 684 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (692 ^ _200877) ^ [] : [-(leq(684 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227122))], (694 ^ _200877) ^ [] : [a_select3(_227130, 683 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 684 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]) = a_select3(_227130, 684 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 683 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136])]], 699 ^ _200877 : [(700 ^ _200877) ^ [] : [-(leq(n0, 697 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (702 ^ _200877) ^ [] : [-(leq(697 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227124))], (704 ^ _200877) ^ [] : [-(leq(n0, 698 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (706 ^ _200877) ^ [] : [-(leq(698 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227124))], (708 ^ _200877) ^ [] : [a_select3(_227136, 697 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 698 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]) = a_select3(_227136, 698 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 697 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136])]], 711 ^ _200877 : [(712 ^ _200877) ^ [] : [-(leq(n0, 709 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (714 ^ _200877) ^ [] : [-(leq(709 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227124))], (716 ^ _200877) ^ [] : [-(leq(n0, 710 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]))], (718 ^ _200877) ^ [] : [-(leq(710 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], _227124))], (720 ^ _200877) ^ [] : [a_select3(_227126, 709 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 710 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136]) = a_select3(_227126, 710 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136], 709 ^ [_227122, _227124, _227126, _227128, _227130, _227132, _227134, _227136])]], 721 ^ _200877 : [(722 ^ _200877) ^ [_230050, _230052] : [-(a_select3(tptp_madd(_227136, tptp_mmul(_227134, tptp_mmul(tptp_madd(tptp_mmul(_227132, tptp_mmul(_227130, trans(_227132))), tptp_mmul(_227128, tptp_mmul(_227126, trans(_227128)))), trans(_227134)))), _230052, _230050) = a_select3(tptp_madd(_227136, tptp_mmul(_227134, tptp_mmul(tptp_madd(tptp_mmul(_227132, tptp_mmul(_227130, trans(_227132))), tptp_mmul(_227128, tptp_mmul(_227126, trans(_227128)))), trans(_227134)))), _230050, _230052)), leq(n0, _230052), leq(_230052, _227124), leq(n0, _230050), leq(_230050, _227124)]]], (740 ^ _200877) ^ [_230803] : [-(sum(n0, tptp_minus_1, _230803) = n0)], (742 ^ _200877) ^ [_230885] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230885))], (744 ^ _200877) ^ [] : [-(succ(tptp_minus_1) = n0)], (746 ^ _200877) ^ [_231020] : [-(plus(_231020, n1) = succ(_231020))], (748 ^ _200877) ^ [_231103] : [-(plus(n1, _231103) = succ(_231103))], (750 ^ _200877) ^ [_231186] : [-(plus(_231186, n2) = succ(succ(_231186)))], (752 ^ _200877) ^ [_231271] : [-(plus(n2, _231271) = succ(succ(_231271)))], (754 ^ _200877) ^ [_231356] : [-(plus(_231356, n3) = succ(succ(succ(_231356))))], (756 ^ _200877) ^ [_231443] : [-(plus(n3, _231443) = succ(succ(succ(_231443))))], (758 ^ _200877) ^ [_231530] : [-(plus(_231530, n4) = succ(succ(succ(succ(_231530)))))], (760 ^ _200877) ^ [_231619] : [-(plus(n4, _231619) = succ(succ(succ(succ(_231619)))))], (762 ^ _200877) ^ [_231708] : [-(plus(_231708, n5) = succ(succ(succ(succ(succ(_231708))))))], (764 ^ _200877) ^ [_231799] : [-(plus(n5, _231799) = succ(succ(succ(succ(succ(_231799))))))], (766 ^ _200877) ^ [_231890] : [-(minus(_231890, n1) = pred(_231890))], (768 ^ _200877) ^ [_231973] : [-(pred(succ(_231973)) = _231973)], (770 ^ _200877) ^ [_232055] : [-(succ(pred(_232055)) = _232055)], (772 ^ _200877) ^ [_232195, _232197] : [leq(succ(_232197), succ(_232195)), -(leq(_232197, _232195))], (778 ^ _200877) ^ [_232365, _232367] : [leq(_232367, _232365), -(leq(succ(_232367), succ(_232365)))], (784 ^ _200877) ^ [_232585, _232587] : [leq(succ(_232587), _232585), -(gt(_232585, _232587))], (790 ^ _200877) ^ [_232799, _232801] : [leq(minus(_232801, _232799), _232801), -(leq(n0, _232799))], (796 ^ _200877) ^ [_233028, _233030, _233032, _233034] : [-(a_select3(tptp_update3(_233034, _233032, _233030, _233028), _233032, _233030) = _233028)], (798 ^ _200877) ^ [_233220, _233222, _233224, _233226, _233228, _233230, _233232] : [-(a_select3(tptp_update3(_233224, _233232, _233230, _233220), _233228, _233226) = _233222), -(_233232 = _233228), _233230 = _233226, a_select3(_233224, _233228, _233226) = _233222], (812 ^ _200877) ^ [_233763, _233765, _233767, _233769, _233771, _233773] : [-(a_select3(tptp_update3(_233765, _233769, _233767, _233763), _233773, _233771) = _233763), 817 ^ _200877 : [(818 ^ _200877) ^ [] : [-(leq(n0, 815 ^ [_233763, _233765, _233767, _233769, _233771, _233773]))], (820 ^ _200877) ^ [] : [-(leq(n0, 816 ^ [_233763, _233765, _233767, _233769, _233771, _233773]))], (822 ^ _200877) ^ [] : [-(leq(815 ^ [_233763, _233765, _233767, _233769, _233771, _233773], _233769))], (824 ^ _200877) ^ [] : [-(leq(816 ^ [_233763, _233765, _233767, _233769, _233771, _233773], _233767))], (826 ^ _200877) ^ [] : [a_select3(_233765, 815 ^ [_233763, _233765, _233767, _233769, _233771, _233773], 816 ^ [_233763, _233765, _233767, _233769, _233771, _233773]) = _233763]], leq(n0, _233773), leq(_233773, _233769), leq(n0, _233771), leq(_233771, _233767)], (844 ^ _200877) ^ [_235105, _235107, _235109] : [-(a_select2(tptp_update2(_235109, _235107, _235105), _235107) = _235105)], (846 ^ _200877) ^ [_235265, _235267, _235269, _235271, _235273] : [-(a_select2(tptp_update2(_235269, _235273, _235265), _235271) = _235267), -(_235273 = _235271), a_select2(_235269, _235271) = _235267], (875 ^ _200877) ^ [] : [-(true)], (877 ^ _200877) ^ [] : [def = use], (856 ^ _200877) ^ [_235645, _235647, _235649, _235651] : [-(a_select2(tptp_update2(_235647, _235649, _235645), _235651) = _235645), 860 ^ _200877 : [(861 ^ _200877) ^ [] : [-(leq(n0, 859 ^ [_235645, _235647, _235649, _235651]))], (863 ^ _200877) ^ [] : [-(leq(859 ^ [_235645, _235647, _235649, _235651], _235649))], (865 ^ _200877) ^ [] : [a_select2(_235647, 859 ^ [_235645, _235647, _235649, _235651]) = _235645]], leq(n0, _235651), leq(_235651, _235649)]], input).
% 0.33/1.38 ncf('1',plain,[true],start(1073 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(true)],extension(875 ^ 1)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------