%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV128+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 12:20:01 EDT 2023
% Result : Theorem 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV128+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 02:09:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.36/1.39
% 0.36/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.39 %-----------------------------------------------------
% 0.36/1.39 ncf(matrix, plain, [(1133 ^ _206636) ^ [] : [true], (1055 ^ _206636) ^ [] : [-(t_defuse = use)], (1057 ^ _206636) ^ [] : [-(tvar_defuse = use)], (1059 ^ _206636) ^ [_247072, _247074] : [-(a_select3(rho_defuse, _247074, _247072) = use), leq(n0, _247074), leq(n0, _247072), leq(_247074, minus(m_measvars, n1)), leq(_247072, minus(n_steps, n1))], (1077 ^ _206636) ^ [_247557, _247559] : [-(a_select3(tr_defuse, _247559, _247557) = use), leq(n0, _247559), leq(n0, _247557), leq(_247559, n7), leq(_247557, minus(n_steps, n1))], (1095 ^ _206636) ^ [_248028] : [-(a_select2(xinit_defuse, _248028) = use), leq(n0, _248028), leq(_248028, minus(n_statevars, n1))], (1105 ^ _206636) ^ [_248309] : [-(a_select2(xinit_mean_defuse, _248309) = use), leq(n0, _248309), leq(_248309, minus(n_statevars, n1))], (1115 ^ _206636) ^ [_248584, _248586] : [-(a_select3(z_defuse, _248586, _248584) = use), leq(n0, _248586), leq(n0, _248584), leq(_248586, minus(m_measvars, n1)), leq(_248584, minus(n_steps, n1))], (2 ^ _206636) ^ [_206780] : [-(_206780 = _206780)], (4 ^ _206636) ^ [_206887, _206889] : [_206889 = _206887, -(_206887 = _206889)], (10 ^ _206636) ^ [_207091, _207093, _207095] : [-(_207095 = _207091), _207095 = _207093, _207093 = _207091], (20 ^ _206636) ^ [_207432, _207434, _207436, _207438] : [-(lt(_207436, _207432)), lt(_207438, _207434), _207438 = _207436, _207434 = _207432], (34 ^ _206636) ^ [_207876, _207878, _207880, _207882] : [-(geq(_207880, _207876)), geq(_207882, _207878), _207882 = _207880, _207878 = _207876], (48 ^ _206636) ^ [_208320, _208322, _208324, _208326] : [-(gt(_208324, _208320)), gt(_208326, _208322), _208326 = _208324, _208322 = _208320], (62 ^ _206636) ^ [_208744, _208746, _208748, _208750] : [-(leq(_208748, _208744)), leq(_208750, _208746), _208750 = _208748, _208746 = _208744], (76 ^ _206636) ^ [_209200, _209202, _209204, _209206] : [-(uniform_int_rnd(_209206, _209202) = uniform_int_rnd(_209204, _209200)), _209206 = _209204, _209202 = _209200], (86 ^ _206636) ^ [_209559, _209561, _209563, _209565] : [-(tptp_const_array1(_209565, _209561) = tptp_const_array1(_209563, _209559)), _209565 = _209563, _209561 = _209559], (96 ^ _206636) ^ [_209946, _209948, _209950, _209952, _209954, _209956] : [-(tptp_const_array2(_209956, _209952, _209948) = tptp_const_array2(_209954, _209950, _209946)), _209956 = _209954, _209952 = _209950, _209948 = _209946], (110 ^ _206636) ^ [_210434, _210436, _210438, _210440] : [-(dim(_210440, _210436) = dim(_210438, _210434)), _210440 = _210438, _210436 = _210434], (120 ^ _206636) ^ [_210765, _210767] : [_210767 = _210765, -(inv(_210767) = inv(_210765))], (126 ^ _206636) ^ [_211011, _211013, _211015, _211017] : [-(tptp_msub(_211017, _211013) = tptp_msub(_211015, _211011)), _211017 = _211015, _211013 = _211011], (136 ^ _206636) ^ [_211370, _211372, _211374, _211376] : [-(tptp_madd(_211376, _211372) = tptp_madd(_211374, _211370)), _211376 = _211374, _211372 = _211370], (146 ^ _206636) ^ [_211729, _211731, _211733, _211735] : [-(tptp_mmul(_211735, _211731) = tptp_mmul(_211733, _211729)), _211735 = _211733, _211731 = _211729], (156 ^ _206636) ^ [_212060, _212062] : [_212062 = _212060, -(trans(_212062) = trans(_212060))], (162 ^ _206636) ^ [_212334, _212336, _212338, _212340, _212342, _212344] : [-(sum(_212344, _212340, _212336) = sum(_212342, _212338, _212334)), _212344 = _212342, _212340 = _212338, _212336 = _212334], (176 ^ _206636) ^ [_212822, _212824, _212826, _212828] : [-(plus(_212828, _212824) = plus(_212826, _212822)), _212828 = _212826, _212824 = _212822], (186 ^ _206636) ^ [_213153, _213155] : [_213155 = _213153, -(pred(_213155) = pred(_213153))], (192 ^ _206636) ^ [_213455, _213457, _213459, _213461, _213463, _213465, _213467, _213469] : [-(tptp_update3(_213469, _213465, _213461, _213457) = tptp_update3(_213467, _213463, _213459, _213455)), _213469 = _213467, _213465 = _213463, _213461 = _213459, _213457 = _213455], (210 ^ _206636) ^ [_214116, _214118, _214120, _214122, _214124, _214126] : [-(tptp_update2(_214126, _214122, _214118) = tptp_update2(_214124, _214120, _214116)), _214126 = _214124, _214122 = _214120, _214118 = _214116], (224 ^ _206636) ^ [_214576, _214578] : [_214578 = _214576, -(succ(_214578) = succ(_214576))], (230 ^ _206636) ^ [_214822, _214824, _214826, _214828] : [-(a_select2(_214828, _214824) = a_select2(_214826, _214822)), _214828 = _214826, _214824 = _214822], (240 ^ _206636) ^ [_215181, _215183, _215185, _215187] : [-(minus(_215187, _215183) = minus(_215185, _215181)), _215187 = _215185, _215183 = _215181], (250 ^ _206636) ^ [_215548, _215550, _215552, _215554, _215556, _215558] : [-(a_select3(_215558, _215554, _215550) = a_select3(_215556, _215552, _215548)), _215558 = _215556, _215554 = _215552, _215550 = _215548], (869 ^ _206636) ^ [] : [-(gt(n5, n4))], (871 ^ _206636) ^ [] : [-(gt(n7, n4))], (873 ^ _206636) ^ [] : [-(gt(n7, n5))], (875 ^ _206636) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _206636) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _206636) ^ [] : [-(gt(n7, tptp_minus_1))], (881 ^ _206636) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _206636) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _206636) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _206636) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _206636) ^ [] : [-(gt(n4, n0))], (891 ^ _206636) ^ [] : [-(gt(n5, n0))], (893 ^ _206636) ^ [] : [-(gt(n7, n0))], (895 ^ _206636) ^ [] : [-(gt(n1, n0))], (897 ^ _206636) ^ [] : [-(gt(n2, n0))], (899 ^ _206636) ^ [] : [-(gt(n3, n0))], (901 ^ _206636) ^ [] : [-(gt(n4, n1))], (903 ^ _206636) ^ [] : [-(gt(n5, n1))], (905 ^ _206636) ^ [] : [-(gt(n7, n1))], (907 ^ _206636) ^ [] : [-(gt(n2, n1))], (909 ^ _206636) ^ [] : [-(gt(n3, n1))], (911 ^ _206636) ^ [] : [-(gt(n4, n2))], (913 ^ _206636) ^ [] : [-(gt(n5, n2))], (915 ^ _206636) ^ [] : [-(gt(n7, n2))], (917 ^ _206636) ^ [] : [-(gt(n3, n2))], (919 ^ _206636) ^ [] : [-(gt(n4, n3))], (921 ^ _206636) ^ [] : [-(gt(n5, n3))], (923 ^ _206636) ^ [] : [-(gt(n7, n3))], (925 ^ _206636) ^ [_243517] : [leq(n0, _243517), leq(_243517, n4), -(_243517 = n0), -(_243517 = n1), -(_243517 = n2), -(_243517 = n3), -(_243517 = n4)], (951 ^ _206636) ^ [_244138] : [leq(n0, _244138), leq(_244138, n5), -(_244138 = n0), -(_244138 = n1), -(_244138 = n2), -(_244138 = n3), -(_244138 = n4), -(_244138 = n5)], (981 ^ _206636) ^ [_244845] : [-(_244845 = n0), leq(n0, _244845), leq(_244845, n0)], (991 ^ _206636) ^ [_245120] : [leq(n0, _245120), leq(_245120, n1), -(_245120 = n0), -(_245120 = n1)], (1005 ^ _206636) ^ [_245483] : [leq(n0, _245483), leq(_245483, n2), -(_245483 = n0), -(_245483 = n1), -(_245483 = n2)], (1045 ^ _206636) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _206636) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _206636) ^ [] : [-(succ(n0) = n1)], (1051 ^ _206636) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _206636) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _206636) ^ [_245932] : [leq(n0, _245932), leq(_245932, n3), -(_245932 = n0), -(_245932 = n1), -(_245932 = n2), -(_245932 = n3)], (264 ^ _206636) ^ [_216108, _216110] : [-(gt(_216110, _216108)), -(gt(_216108, _216110)), -(_216110 = _216108)], (274 ^ _206636) ^ [_216423, _216425, _216427] : [-(gt(_216427, _216423)), gt(_216427, _216425), gt(_216425, _216423)], (284 ^ _206636) ^ [_216702] : [gt(_216702, _216702)], (286 ^ _206636) ^ [_216780] : [-(leq(_216780, _216780))], (288 ^ _206636) ^ [_216901, _216903, _216905] : [-(leq(_216905, _216901)), leq(_216905, _216903), leq(_216903, _216901)], (298 ^ _206636) ^ [_217239, _217241] : [lt(_217241, _217239), -(gt(_217239, _217241))], (304 ^ _206636) ^ [_217401, _217403] : [gt(_217401, _217403), -(lt(_217403, _217401))], (310 ^ _206636) ^ [_217642, _217644] : [geq(_217644, _217642), -(leq(_217642, _217644))], (316 ^ _206636) ^ [_217804, _217806] : [leq(_217804, _217806), -(geq(_217806, _217804))], (322 ^ _206636) ^ [_218016, _218018] : [gt(_218016, _218018), -(leq(_218018, _218016))], (328 ^ _206636) ^ [_218226, _218228] : [-(gt(_218226, _218228)), leq(_218228, _218226), -(_218228 = _218226)], (338 ^ _206636) ^ [_218557, _218559] : [leq(_218559, pred(_218557)), -(gt(_218557, _218559))], (344 ^ _206636) ^ [_218723, _218725] : [gt(_218723, _218725), -(leq(_218725, pred(_218723)))], (350 ^ _206636) ^ [_218910] : [-(gt(succ(_218910), _218910))], (352 ^ _206636) ^ [_219019, _219021] : [leq(_219021, _219019), -(leq(_219021, succ(_219019)))], (358 ^ _206636) ^ [_219262, _219264] : [leq(_219264, _219262), -(gt(succ(_219262), _219264))], (364 ^ _206636) ^ [_219428, _219430] : [gt(succ(_219428), _219430), -(leq(_219430, _219428))], (370 ^ _206636) ^ [_219644, _219646] : [leq(n0, _219646), -(leq(uniform_int_rnd(_219644, _219646), _219646))], (376 ^ _206636) ^ [_219860, _219862] : [leq(n0, _219862), -(leq(n0, uniform_int_rnd(_219860, _219862)))], (382 ^ _206636) ^ [_220104, _220106, _220108, _220110] : [-(a_select2(tptp_const_array1(dim(_220108, _220106), _220104), _220110) = _220104), leq(_220108, _220110), leq(_220110, _220106)], (392 ^ _206636) ^ [_220511, _220513, _220515, _220517, _220519, _220521, _220523] : [-(a_select3(tptp_const_array2(dim(_220521, _220519), dim(_220515, _220513), _220511), _220523, _220517) = _220511), leq(_220521, _220523), leq(_220523, _220519), leq(_220515, _220517), leq(_220517, _220513)], (410 ^ _206636) ^ [_221106, _221108] : [413 ^ _206636 : [(414 ^ _206636) ^ [] : [-(leq(n0, 411 ^ [_221106, _221108]))], (416 ^ _206636) ^ [] : [-(leq(411 ^ [_221106, _221108], _221106))], (418 ^ _206636) ^ [] : [-(leq(n0, 412 ^ [_221106, _221108]))], (420 ^ _206636) ^ [] : [-(leq(412 ^ [_221106, _221108], _221106))], (422 ^ _206636) ^ [] : [a_select3(_221108, 411 ^ [_221106, _221108], 412 ^ [_221106, _221108]) = a_select3(_221108, 412 ^ [_221106, _221108], 411 ^ [_221106, _221108])]], 423 ^ _206636 : [(424 ^ _206636) ^ [_221863, _221865] : [-(a_select3(trans(_221108), _221865, _221863) = a_select3(trans(_221108), _221863, _221865)), leq(n0, _221865), leq(_221865, _221106), leq(n0, _221863), leq(_221863, _221106)]]], (442 ^ _206636) ^ [_222410, _222412] : [445 ^ _206636 : [(446 ^ _206636) ^ [] : [-(leq(n0, 443 ^ [_222410, _222412]))], (448 ^ _206636) ^ [] : [-(leq(443 ^ [_222410, _222412], _222410))], (450 ^ _206636) ^ [] : [-(leq(n0, 444 ^ [_222410, _222412]))], (452 ^ _206636) ^ [] : [-(leq(444 ^ [_222410, _222412], _222410))], (454 ^ _206636) ^ [] : [a_select3(_222412, 443 ^ [_222410, _222412], 444 ^ [_222410, _222412]) = a_select3(_222412, 444 ^ [_222410, _222412], 443 ^ [_222410, _222412])]], 455 ^ _206636 : [(456 ^ _206636) ^ [_223167, _223169] : [-(a_select3(inv(_222412), _223169, _223167) = a_select3(inv(_222412), _223167, _223169)), leq(n0, _223169), leq(_223169, _222410), leq(n0, _223167), leq(_223167, _222410)]]], (474 ^ _206636) ^ [_223714, _223716] : [477 ^ _206636 : [(478 ^ _206636) ^ [] : [-(leq(n0, 475 ^ [_223714, _223716]))], (480 ^ _206636) ^ [] : [-(leq(475 ^ [_223714, _223716], _223714))], (482 ^ _206636) ^ [] : [-(leq(n0, 476 ^ [_223714, _223716]))], (484 ^ _206636) ^ [] : [-(leq(476 ^ [_223714, _223716], _223714))], (486 ^ _206636) ^ [] : [a_select3(_223716, 475 ^ [_223714, _223716], 476 ^ [_223714, _223716]) = a_select3(_223716, 476 ^ [_223714, _223716], 475 ^ [_223714, _223716])]], 487 ^ _206636 : [(488 ^ _206636) ^ [_224527, _224529, _224531, _224533] : [-(a_select3(tptp_update3(_223716, _224529, _224529, _224527), _224533, _224531) = a_select3(tptp_update3(_223716, _224529, _224529, _224527), _224531, _224533)), leq(n0, _224533), leq(_224533, _223714), leq(n0, _224531), leq(_224531, _223714), leq(n0, _224529), leq(_224529, _223714)]]], (514 ^ _206636) ^ [_225346, _225348, _225350] : [519 ^ _206636 : [(520 ^ _206636) ^ [] : [-(leq(n0, 517 ^ [_225346, _225348, _225350]))], (522 ^ _206636) ^ [] : [-(leq(517 ^ [_225346, _225348, _225350], _225346))], (524 ^ _206636) ^ [] : [-(leq(n0, 518 ^ [_225346, _225348, _225350]))], (526 ^ _206636) ^ [] : [-(leq(518 ^ [_225346, _225348, _225350], _225346))], (528 ^ _206636) ^ [] : [a_select3(_225350, 517 ^ [_225346, _225348, _225350], 518 ^ [_225346, _225348, _225350]) = a_select3(_225350, 518 ^ [_225346, _225348, _225350], 517 ^ [_225346, _225348, _225350])]], 531 ^ _206636 : [(532 ^ _206636) ^ [] : [-(leq(n0, 529 ^ [_225346, _225348, _225350]))], (534 ^ _206636) ^ [] : [-(leq(529 ^ [_225346, _225348, _225350], _225346))], (536 ^ _206636) ^ [] : [-(leq(n0, 530 ^ [_225346, _225348, _225350]))], (538 ^ _206636) ^ [] : [-(leq(530 ^ [_225346, _225348, _225350], _225346))], (540 ^ _206636) ^ [] : [a_select3(_225348, 529 ^ [_225346, _225348, _225350], 530 ^ [_225346, _225348, _225350]) = a_select3(_225348, 530 ^ [_225346, _225348, _225350], 529 ^ [_225346, _225348, _225350])]], 541 ^ _206636 : [(542 ^ _206636) ^ [_226855, _226857] : [-(a_select3(tptp_madd(_225350, _225348), _226857, _226855) = a_select3(tptp_madd(_225350, _225348), _226855, _226857)), leq(n0, _226857), leq(_226857, _225346), leq(n0, _226855), leq(_226855, _225346)]]], (560 ^ _206636) ^ [_227441, _227443, _227445] : [565 ^ _206636 : [(566 ^ _206636) ^ [] : [-(leq(n0, 563 ^ [_227441, _227443, _227445]))], (568 ^ _206636) ^ [] : [-(leq(563 ^ [_227441, _227443, _227445], _227441))], (570 ^ _206636) ^ [] : [-(leq(n0, 564 ^ [_227441, _227443, _227445]))], (572 ^ _206636) ^ [] : [-(leq(564 ^ [_227441, _227443, _227445], _227441))], (574 ^ _206636) ^ [] : [a_select3(_227445, 563 ^ [_227441, _227443, _227445], 564 ^ [_227441, _227443, _227445]) = a_select3(_227445, 564 ^ [_227441, _227443, _227445], 563 ^ [_227441, _227443, _227445])]], 577 ^ _206636 : [(578 ^ _206636) ^ [] : [-(leq(n0, 575 ^ [_227441, _227443, _227445]))], (580 ^ _206636) ^ [] : [-(leq(575 ^ [_227441, _227443, _227445], _227441))], (582 ^ _206636) ^ [] : [-(leq(n0, 576 ^ [_227441, _227443, _227445]))], (584 ^ _206636) ^ [] : [-(leq(576 ^ [_227441, _227443, _227445], _227441))], (586 ^ _206636) ^ [] : [a_select3(_227443, 575 ^ [_227441, _227443, _227445], 576 ^ [_227441, _227443, _227445]) = a_select3(_227443, 576 ^ [_227441, _227443, _227445], 575 ^ [_227441, _227443, _227445])]], 587 ^ _206636 : [(588 ^ _206636) ^ [_228950, _228952] : [-(a_select3(tptp_msub(_227445, _227443), _228952, _228950) = a_select3(tptp_msub(_227445, _227443), _228950, _228952)), leq(n0, _228952), leq(_228952, _227441), leq(n0, _228950), leq(_228950, _227441)]]], (606 ^ _206636) ^ [_229536, _229538, _229540] : [609 ^ _206636 : [(610 ^ _206636) ^ [] : [-(leq(n0, 607 ^ [_229536, _229538, _229540]))], (612 ^ _206636) ^ [] : [-(leq(607 ^ [_229536, _229538, _229540], _229536))], (614 ^ _206636) ^ [] : [-(leq(n0, 608 ^ [_229536, _229538, _229540]))], (616 ^ _206636) ^ [] : [-(leq(608 ^ [_229536, _229538, _229540], _229536))], (618 ^ _206636) ^ [] : [a_select3(_229538, 607 ^ [_229536, _229538, _229540], 608 ^ [_229536, _229538, _229540]) = a_select3(_229538, 608 ^ [_229536, _229538, _229540], 607 ^ [_229536, _229538, _229540])]], 619 ^ _206636 : [(620 ^ _206636) ^ [_230349, _230351] : [-(a_select3(tptp_mmul(_229540, tptp_mmul(_229538, trans(_229540))), _230351, _230349) = a_select3(tptp_mmul(_229540, tptp_mmul(_229538, trans(_229540))), _230349, _230351)), leq(n0, _230351), leq(_230351, _229536), leq(n0, _230349), leq(_230349, _229536)]]], (638 ^ _206636) ^ [_230968, _230970, _230972, _230974] : [641 ^ _206636 : [(642 ^ _206636) ^ [] : [-(leq(n0, 639 ^ [_230968, _230970, _230972, _230974]))], (644 ^ _206636) ^ [] : [-(leq(639 ^ [_230968, _230970, _230972, _230974], _230968))], (646 ^ _206636) ^ [] : [-(leq(n0, 640 ^ [_230968, _230970, _230972, _230974]))], (648 ^ _206636) ^ [] : [-(leq(640 ^ [_230968, _230970, _230972, _230974], _230968))], (650 ^ _206636) ^ [] : [a_select3(_230972, 639 ^ [_230968, _230970, _230972, _230974], 640 ^ [_230968, _230970, _230972, _230974]) = a_select3(_230972, 640 ^ [_230968, _230970, _230972, _230974], 639 ^ [_230968, _230970, _230972, _230974])]], 651 ^ _206636 : [(652 ^ _206636) ^ [_231825, _231827] : [-(a_select3(tptp_mmul(_230974, tptp_mmul(_230972, trans(_230974))), _231827, _231825) = a_select3(tptp_mmul(_230974, tptp_mmul(_230972, trans(_230974))), _231825, _231827)), leq(n0, _231827), leq(_231827, _230970), leq(n0, _231825), leq(_231825, _230970)]]], (670 ^ _206636) ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534] : [675 ^ _206636 : [(676 ^ _206636) ^ [] : [-(leq(n0, 673 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (678 ^ _206636) ^ [] : [-(leq(673 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232520))], (680 ^ _206636) ^ [] : [-(leq(n0, 674 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (682 ^ _206636) ^ [] : [-(leq(674 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232520))], (684 ^ _206636) ^ [] : [a_select3(_232528, 673 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 674 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]) = a_select3(_232528, 674 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 673 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534])]], 689 ^ _206636 : [(690 ^ _206636) ^ [] : [-(leq(n0, 687 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (692 ^ _206636) ^ [] : [-(leq(687 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232522))], (694 ^ _206636) ^ [] : [-(leq(n0, 688 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (696 ^ _206636) ^ [] : [-(leq(688 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232522))], (698 ^ _206636) ^ [] : [a_select3(_232534, 687 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 688 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]) = a_select3(_232534, 688 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 687 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534])]], 701 ^ _206636 : [(702 ^ _206636) ^ [] : [-(leq(n0, 699 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (704 ^ _206636) ^ [] : [-(leq(699 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232522))], (706 ^ _206636) ^ [] : [-(leq(n0, 700 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]))], (708 ^ _206636) ^ [] : [-(leq(700 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], _232522))], (710 ^ _206636) ^ [] : [a_select3(_232524, 699 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 700 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534]) = a_select3(_232524, 700 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534], 699 ^ [_232520, _232522, _232524, _232526, _232528, _232530, _232532, _232534])]], 711 ^ _206636 : [(712 ^ _206636) ^ [_235448, _235450] : [-(a_select3(tptp_madd(_232534, tptp_mmul(_232532, tptp_mmul(tptp_madd(tptp_mmul(_232530, tptp_mmul(_232528, trans(_232530))), tptp_mmul(_232526, tptp_mmul(_232524, trans(_232526)))), trans(_232532)))), _235450, _235448) = a_select3(tptp_madd(_232534, tptp_mmul(_232532, tptp_mmul(tptp_madd(tptp_mmul(_232530, tptp_mmul(_232528, trans(_232530))), tptp_mmul(_232526, tptp_mmul(_232524, trans(_232526)))), trans(_232532)))), _235448, _235450)), leq(n0, _235450), leq(_235450, _232522), leq(n0, _235448), leq(_235448, _232522)]]], (730 ^ _206636) ^ [_236201] : [-(sum(n0, tptp_minus_1, _236201) = n0)], (732 ^ _206636) ^ [_236283] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _236283))], (734 ^ _206636) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _206636) ^ [_236418] : [-(plus(_236418, n1) = succ(_236418))], (738 ^ _206636) ^ [_236501] : [-(plus(n1, _236501) = succ(_236501))], (740 ^ _206636) ^ [_236584] : [-(plus(_236584, n2) = succ(succ(_236584)))], (742 ^ _206636) ^ [_236669] : [-(plus(n2, _236669) = succ(succ(_236669)))], (744 ^ _206636) ^ [_236754] : [-(plus(_236754, n3) = succ(succ(succ(_236754))))], (746 ^ _206636) ^ [_236841] : [-(plus(n3, _236841) = succ(succ(succ(_236841))))], (748 ^ _206636) ^ [_236928] : [-(plus(_236928, n4) = succ(succ(succ(succ(_236928)))))], (750 ^ _206636) ^ [_237017] : [-(plus(n4, _237017) = succ(succ(succ(succ(_237017)))))], (752 ^ _206636) ^ [_237106] : [-(plus(_237106, n5) = succ(succ(succ(succ(succ(_237106))))))], (754 ^ _206636) ^ [_237197] : [-(plus(n5, _237197) = succ(succ(succ(succ(succ(_237197))))))], (756 ^ _206636) ^ [_237288] : [-(minus(_237288, n1) = pred(_237288))], (758 ^ _206636) ^ [_237371] : [-(pred(succ(_237371)) = _237371)], (760 ^ _206636) ^ [_237453] : [-(succ(pred(_237453)) = _237453)], (762 ^ _206636) ^ [_237593, _237595] : [leq(succ(_237595), succ(_237593)), -(leq(_237595, _237593))], (768 ^ _206636) ^ [_237763, _237765] : [leq(_237765, _237763), -(leq(succ(_237765), succ(_237763)))], (774 ^ _206636) ^ [_237983, _237985] : [leq(succ(_237985), _237983), -(gt(_237983, _237985))], (780 ^ _206636) ^ [_238197, _238199] : [leq(minus(_238199, _238197), _238199), -(leq(n0, _238197))], (786 ^ _206636) ^ [_238426, _238428, _238430, _238432] : [-(a_select3(tptp_update3(_238432, _238430, _238428, _238426), _238430, _238428) = _238426)], (788 ^ _206636) ^ [_238618, _238620, _238622, _238624, _238626, _238628, _238630] : [-(a_select3(tptp_update3(_238622, _238630, _238628, _238618), _238626, _238624) = _238620), -(_238630 = _238626), _238628 = _238624, a_select3(_238622, _238626, _238624) = _238620], (802 ^ _206636) ^ [_239161, _239163, _239165, _239167, _239169, _239171] : [-(a_select3(tptp_update3(_239163, _239167, _239165, _239161), _239171, _239169) = _239161), 807 ^ _206636 : [(808 ^ _206636) ^ [] : [-(leq(n0, 805 ^ [_239161, _239163, _239165, _239167, _239169, _239171]))], (810 ^ _206636) ^ [] : [-(leq(n0, 806 ^ [_239161, _239163, _239165, _239167, _239169, _239171]))], (812 ^ _206636) ^ [] : [-(leq(805 ^ [_239161, _239163, _239165, _239167, _239169, _239171], _239167))], (814 ^ _206636) ^ [] : [-(leq(806 ^ [_239161, _239163, _239165, _239167, _239169, _239171], _239165))], (816 ^ _206636) ^ [] : [a_select3(_239163, 805 ^ [_239161, _239163, _239165, _239167, _239169, _239171], 806 ^ [_239161, _239163, _239165, _239167, _239169, _239171]) = _239161]], leq(n0, _239171), leq(_239171, _239167), leq(n0, _239169), leq(_239169, _239165)], (834 ^ _206636) ^ [_240503, _240505, _240507] : [-(a_select2(tptp_update2(_240507, _240505, _240503), _240505) = _240503)], (836 ^ _206636) ^ [_240663, _240665, _240667, _240669, _240671] : [-(a_select2(tptp_update2(_240667, _240671, _240663), _240669) = _240665), -(_240671 = _240669), a_select2(_240667, _240669) = _240665], (865 ^ _206636) ^ [] : [-(true)], (867 ^ _206636) ^ [] : [def = use], (846 ^ _206636) ^ [_241043, _241045, _241047, _241049] : [-(a_select2(tptp_update2(_241045, _241047, _241043), _241049) = _241043), 850 ^ _206636 : [(851 ^ _206636) ^ [] : [-(leq(n0, 849 ^ [_241043, _241045, _241047, _241049]))], (853 ^ _206636) ^ [] : [-(leq(849 ^ [_241043, _241045, _241047, _241049], _241047))], (855 ^ _206636) ^ [] : [a_select2(_241045, 849 ^ [_241043, _241045, _241047, _241049]) = _241043]], leq(n0, _241049), leq(_241049, _241047)]], input).
% 0.36/1.39 ncf('1',plain,[true],start(1133 ^ 0)).
% 0.36/1.39 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.36/1.39 %-----------------------------------------------------
% 0.36/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------