%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV121+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 12:20:00 EDT 2023
% Result : Theorem 0.34s 1.39s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 19 02:22:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.34/1.39
% 0.34/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 ncf(matrix, plain, [(1145 ^ _207731) ^ [] : [true], (1091 ^ _207731) ^ [_248917, _248919] : [-(a_select3(q_ds1_filter, _248919, _248917) = a_select3(q_ds1_filter, _248917, _248919)), leq(n0, _248919), leq(n0, _248917), leq(_248919, minus(n6, n1)), leq(_248917, minus(n6, n1))], (1109 ^ _207731) ^ [_249410, _249412] : [-(a_select3(r_ds1_filter, _249412, _249410) = a_select3(r_ds1_filter, _249410, _249412)), leq(n0, _249412), leq(n0, _249410), leq(_249412, minus(n3, n1)), leq(_249410, minus(n3, n1))], (1127 ^ _207731) ^ [_249883, _249885] : [-(a_select3(pminus_ds1_filter, _249885, _249883) = a_select3(pminus_ds1_filter, _249883, _249885)), leq(n0, _249885), leq(n0, _249883), leq(_249885, minus(n6, n1)), leq(_249883, minus(n6, n1))], (2 ^ _207731) ^ [_207875] : [-(_207875 = _207875)], (4 ^ _207731) ^ [_207982, _207984] : [_207984 = _207982, -(_207982 = _207984)], (10 ^ _207731) ^ [_208186, _208188, _208190] : [-(_208190 = _208186), _208190 = _208188, _208188 = _208186], (20 ^ _207731) ^ [_208527, _208529, _208531, _208533] : [-(lt(_208531, _208527)), lt(_208533, _208529), _208533 = _208531, _208529 = _208527], (34 ^ _207731) ^ [_208971, _208973, _208975, _208977] : [-(geq(_208975, _208971)), geq(_208977, _208973), _208977 = _208975, _208973 = _208971], (48 ^ _207731) ^ [_209415, _209417, _209419, _209421] : [-(gt(_209419, _209415)), gt(_209421, _209417), _209421 = _209419, _209417 = _209415], (62 ^ _207731) ^ [_209839, _209841, _209843, _209845] : [-(leq(_209843, _209839)), leq(_209845, _209841), _209845 = _209843, _209841 = _209839], (76 ^ _207731) ^ [_210295, _210297, _210299, _210301] : [-(uniform_int_rnd(_210301, _210297) = uniform_int_rnd(_210299, _210295)), _210301 = _210299, _210297 = _210295], (86 ^ _207731) ^ [_210654, _210656, _210658, _210660] : [-(tptp_const_array1(_210660, _210656) = tptp_const_array1(_210658, _210654)), _210660 = _210658, _210656 = _210654], (96 ^ _207731) ^ [_211041, _211043, _211045, _211047, _211049, _211051] : [-(tptp_const_array2(_211051, _211047, _211043) = tptp_const_array2(_211049, _211045, _211041)), _211051 = _211049, _211047 = _211045, _211043 = _211041], (110 ^ _207731) ^ [_211529, _211531, _211533, _211535] : [-(dim(_211535, _211531) = dim(_211533, _211529)), _211535 = _211533, _211531 = _211529], (120 ^ _207731) ^ [_211860, _211862] : [_211862 = _211860, -(inv(_211862) = inv(_211860))], (126 ^ _207731) ^ [_212106, _212108, _212110, _212112] : [-(tptp_msub(_212112, _212108) = tptp_msub(_212110, _212106)), _212112 = _212110, _212108 = _212106], (136 ^ _207731) ^ [_212465, _212467, _212469, _212471] : [-(tptp_madd(_212471, _212467) = tptp_madd(_212469, _212465)), _212471 = _212469, _212467 = _212465], (146 ^ _207731) ^ [_212824, _212826, _212828, _212830] : [-(tptp_mmul(_212830, _212826) = tptp_mmul(_212828, _212824)), _212830 = _212828, _212826 = _212824], (156 ^ _207731) ^ [_213155, _213157] : [_213157 = _213155, -(trans(_213157) = trans(_213155))], (162 ^ _207731) ^ [_213429, _213431, _213433, _213435, _213437, _213439] : [-(sum(_213439, _213435, _213431) = sum(_213437, _213433, _213429)), _213439 = _213437, _213435 = _213433, _213431 = _213429], (176 ^ _207731) ^ [_213917, _213919, _213921, _213923] : [-(plus(_213923, _213919) = plus(_213921, _213917)), _213923 = _213921, _213919 = _213917], (186 ^ _207731) ^ [_214248, _214250] : [_214250 = _214248, -(pred(_214250) = pred(_214248))], (192 ^ _207731) ^ [_214550, _214552, _214554, _214556, _214558, _214560, _214562, _214564] : [-(tptp_update3(_214564, _214560, _214556, _214552) = tptp_update3(_214562, _214558, _214554, _214550)), _214564 = _214562, _214560 = _214558, _214556 = _214554, _214552 = _214550], (210 ^ _207731) ^ [_215183, _215185, _215187, _215189] : [-(a_select2(_215189, _215185) = a_select2(_215187, _215183)), _215189 = _215187, _215185 = _215183], (220 ^ _207731) ^ [_215570, _215572, _215574, _215576, _215578, _215580] : [-(tptp_update2(_215580, _215576, _215572) = tptp_update2(_215578, _215574, _215570)), _215580 = _215578, _215576 = _215574, _215572 = _215570], (234 ^ _207731) ^ [_216030, _216032] : [_216032 = _216030, -(succ(_216032) = succ(_216030))], (240 ^ _207731) ^ [_216276, _216278, _216280, _216282] : [-(minus(_216282, _216278) = minus(_216280, _216276)), _216282 = _216280, _216278 = _216276], (250 ^ _207731) ^ [_216643, _216645, _216647, _216649, _216651, _216653] : [-(a_select3(_216653, _216649, _216645) = a_select3(_216651, _216647, _216643)), _216653 = _216651, _216649 = _216647, _216645 = _216643], (869 ^ _207731) ^ [] : [-(gt(n5, n4))], (871 ^ _207731) ^ [] : [-(gt(n6, n4))], (873 ^ _207731) ^ [] : [-(gt(n6, n5))], (875 ^ _207731) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _207731) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _207731) ^ [] : [-(gt(n6, tptp_minus_1))], (881 ^ _207731) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _207731) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _207731) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _207731) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _207731) ^ [] : [-(gt(n4, n0))], (891 ^ _207731) ^ [] : [-(gt(n5, n0))], (893 ^ _207731) ^ [] : [-(gt(n6, n0))], (895 ^ _207731) ^ [] : [-(gt(n1, n0))], (897 ^ _207731) ^ [] : [-(gt(n2, n0))], (899 ^ _207731) ^ [] : [-(gt(n3, n0))], (901 ^ _207731) ^ [] : [-(gt(n4, n1))], (903 ^ _207731) ^ [] : [-(gt(n5, n1))], (905 ^ _207731) ^ [] : [-(gt(n6, n1))], (907 ^ _207731) ^ [] : [-(gt(n2, n1))], (909 ^ _207731) ^ [] : [-(gt(n3, n1))], (911 ^ _207731) ^ [] : [-(gt(n4, n2))], (913 ^ _207731) ^ [] : [-(gt(n5, n2))], (915 ^ _207731) ^ [] : [-(gt(n6, n2))], (917 ^ _207731) ^ [] : [-(gt(n3, n2))], (919 ^ _207731) ^ [] : [-(gt(n4, n3))], (921 ^ _207731) ^ [] : [-(gt(n5, n3))], (923 ^ _207731) ^ [] : [-(gt(n6, n3))], (925 ^ _207731) ^ [_244612] : [leq(n0, _244612), leq(_244612, n4), -(_244612 = n0), -(_244612 = n1), -(_244612 = n2), -(_244612 = n3), -(_244612 = n4)], (951 ^ _207731) ^ [_245233] : [leq(n0, _245233), leq(_245233, n5), -(_245233 = n0), -(_245233 = n1), -(_245233 = n2), -(_245233 = n3), -(_245233 = n4), -(_245233 = n5)], (981 ^ _207731) ^ [_245940] : [leq(n0, _245940), leq(_245940, n6), -(_245940 = n0), -(_245940 = n1), -(_245940 = n2), -(_245940 = n3), -(_245940 = n4), -(_245940 = n5), -(_245940 = n6)], (1015 ^ _207731) ^ [_246733] : [-(_246733 = n0), leq(n0, _246733), leq(_246733, n0)], (1025 ^ _207731) ^ [_247008] : [leq(n0, _247008), leq(_247008, n1), -(_247008 = n0), -(_247008 = n1)], (1039 ^ _207731) ^ [_247371] : [leq(n0, _247371), leq(_247371, n2), -(_247371 = n0), -(_247371 = n1), -(_247371 = n2)], (1079 ^ _207731) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1081 ^ _207731) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1083 ^ _207731) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1085 ^ _207731) ^ [] : [-(succ(n0) = n1)], (1087 ^ _207731) ^ [] : [-(succ(succ(n0)) = n2)], (1089 ^ _207731) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1057 ^ _207731) ^ [_247820] : [leq(n0, _247820), leq(_247820, n3), -(_247820 = n0), -(_247820 = n1), -(_247820 = n2), -(_247820 = n3)], (264 ^ _207731) ^ [_217203, _217205] : [-(gt(_217205, _217203)), -(gt(_217203, _217205)), -(_217205 = _217203)], (274 ^ _207731) ^ [_217518, _217520, _217522] : [-(gt(_217522, _217518)), gt(_217522, _217520), gt(_217520, _217518)], (284 ^ _207731) ^ [_217797] : [gt(_217797, _217797)], (286 ^ _207731) ^ [_217875] : [-(leq(_217875, _217875))], (288 ^ _207731) ^ [_217996, _217998, _218000] : [-(leq(_218000, _217996)), leq(_218000, _217998), leq(_217998, _217996)], (298 ^ _207731) ^ [_218334, _218336] : [lt(_218336, _218334), -(gt(_218334, _218336))], (304 ^ _207731) ^ [_218496, _218498] : [gt(_218496, _218498), -(lt(_218498, _218496))], (310 ^ _207731) ^ [_218737, _218739] : [geq(_218739, _218737), -(leq(_218737, _218739))], (316 ^ _207731) ^ [_218899, _218901] : [leq(_218899, _218901), -(geq(_218901, _218899))], (322 ^ _207731) ^ [_219111, _219113] : [gt(_219111, _219113), -(leq(_219113, _219111))], (328 ^ _207731) ^ [_219321, _219323] : [-(gt(_219321, _219323)), leq(_219323, _219321), -(_219323 = _219321)], (338 ^ _207731) ^ [_219652, _219654] : [leq(_219654, pred(_219652)), -(gt(_219652, _219654))], (344 ^ _207731) ^ [_219818, _219820] : [gt(_219818, _219820), -(leq(_219820, pred(_219818)))], (350 ^ _207731) ^ [_220005] : [-(gt(succ(_220005), _220005))], (352 ^ _207731) ^ [_220114, _220116] : [leq(_220116, _220114), -(leq(_220116, succ(_220114)))], (358 ^ _207731) ^ [_220357, _220359] : [leq(_220359, _220357), -(gt(succ(_220357), _220359))], (364 ^ _207731) ^ [_220523, _220525] : [gt(succ(_220523), _220525), -(leq(_220525, _220523))], (370 ^ _207731) ^ [_220739, _220741] : [leq(n0, _220741), -(leq(uniform_int_rnd(_220739, _220741), _220741))], (376 ^ _207731) ^ [_220955, _220957] : [leq(n0, _220957), -(leq(n0, uniform_int_rnd(_220955, _220957)))], (382 ^ _207731) ^ [_221199, _221201, _221203, _221205] : [-(a_select2(tptp_const_array1(dim(_221203, _221201), _221199), _221205) = _221199), leq(_221203, _221205), leq(_221205, _221201)], (392 ^ _207731) ^ [_221606, _221608, _221610, _221612, _221614, _221616, _221618] : [-(a_select3(tptp_const_array2(dim(_221616, _221614), dim(_221610, _221608), _221606), _221618, _221612) = _221606), leq(_221616, _221618), leq(_221618, _221614), leq(_221610, _221612), leq(_221612, _221608)], (410 ^ _207731) ^ [_222201, _222203] : [413 ^ _207731 : [(414 ^ _207731) ^ [] : [-(leq(n0, 411 ^ [_222201, _222203]))], (416 ^ _207731) ^ [] : [-(leq(411 ^ [_222201, _222203], _222201))], (418 ^ _207731) ^ [] : [-(leq(n0, 412 ^ [_222201, _222203]))], (420 ^ _207731) ^ [] : [-(leq(412 ^ [_222201, _222203], _222201))], (422 ^ _207731) ^ [] : [a_select3(_222203, 411 ^ [_222201, _222203], 412 ^ [_222201, _222203]) = a_select3(_222203, 412 ^ [_222201, _222203], 411 ^ [_222201, _222203])]], 423 ^ _207731 : [(424 ^ _207731) ^ [_222958, _222960] : [-(a_select3(trans(_222203), _222960, _222958) = a_select3(trans(_222203), _222958, _222960)), leq(n0, _222960), leq(_222960, _222201), leq(n0, _222958), leq(_222958, _222201)]]], (442 ^ _207731) ^ [_223505, _223507] : [445 ^ _207731 : [(446 ^ _207731) ^ [] : [-(leq(n0, 443 ^ [_223505, _223507]))], (448 ^ _207731) ^ [] : [-(leq(443 ^ [_223505, _223507], _223505))], (450 ^ _207731) ^ [] : [-(leq(n0, 444 ^ [_223505, _223507]))], (452 ^ _207731) ^ [] : [-(leq(444 ^ [_223505, _223507], _223505))], (454 ^ _207731) ^ [] : [a_select3(_223507, 443 ^ [_223505, _223507], 444 ^ [_223505, _223507]) = a_select3(_223507, 444 ^ [_223505, _223507], 443 ^ [_223505, _223507])]], 455 ^ _207731 : [(456 ^ _207731) ^ [_224262, _224264] : [-(a_select3(inv(_223507), _224264, _224262) = a_select3(inv(_223507), _224262, _224264)), leq(n0, _224264), leq(_224264, _223505), leq(n0, _224262), leq(_224262, _223505)]]], (474 ^ _207731) ^ [_224809, _224811] : [477 ^ _207731 : [(478 ^ _207731) ^ [] : [-(leq(n0, 475 ^ [_224809, _224811]))], (480 ^ _207731) ^ [] : [-(leq(475 ^ [_224809, _224811], _224809))], (482 ^ _207731) ^ [] : [-(leq(n0, 476 ^ [_224809, _224811]))], (484 ^ _207731) ^ [] : [-(leq(476 ^ [_224809, _224811], _224809))], (486 ^ _207731) ^ [] : [a_select3(_224811, 475 ^ [_224809, _224811], 476 ^ [_224809, _224811]) = a_select3(_224811, 476 ^ [_224809, _224811], 475 ^ [_224809, _224811])]], 487 ^ _207731 : [(488 ^ _207731) ^ [_225622, _225624, _225626, _225628] : [-(a_select3(tptp_update3(_224811, _225624, _225624, _225622), _225628, _225626) = a_select3(tptp_update3(_224811, _225624, _225624, _225622), _225626, _225628)), leq(n0, _225628), leq(_225628, _224809), leq(n0, _225626), leq(_225626, _224809), leq(n0, _225624), leq(_225624, _224809)]]], (514 ^ _207731) ^ [_226441, _226443, _226445] : [519 ^ _207731 : [(520 ^ _207731) ^ [] : [-(leq(n0, 517 ^ [_226441, _226443, _226445]))], (522 ^ _207731) ^ [] : [-(leq(517 ^ [_226441, _226443, _226445], _226441))], (524 ^ _207731) ^ [] : [-(leq(n0, 518 ^ [_226441, _226443, _226445]))], (526 ^ _207731) ^ [] : [-(leq(518 ^ [_226441, _226443, _226445], _226441))], (528 ^ _207731) ^ [] : [a_select3(_226445, 517 ^ [_226441, _226443, _226445], 518 ^ [_226441, _226443, _226445]) = a_select3(_226445, 518 ^ [_226441, _226443, _226445], 517 ^ [_226441, _226443, _226445])]], 531 ^ _207731 : [(532 ^ _207731) ^ [] : [-(leq(n0, 529 ^ [_226441, _226443, _226445]))], (534 ^ _207731) ^ [] : [-(leq(529 ^ [_226441, _226443, _226445], _226441))], (536 ^ _207731) ^ [] : [-(leq(n0, 530 ^ [_226441, _226443, _226445]))], (538 ^ _207731) ^ [] : [-(leq(530 ^ [_226441, _226443, _226445], _226441))], (540 ^ _207731) ^ [] : [a_select3(_226443, 529 ^ [_226441, _226443, _226445], 530 ^ [_226441, _226443, _226445]) = a_select3(_226443, 530 ^ [_226441, _226443, _226445], 529 ^ [_226441, _226443, _226445])]], 541 ^ _207731 : [(542 ^ _207731) ^ [_227950, _227952] : [-(a_select3(tptp_madd(_226445, _226443), _227952, _227950) = a_select3(tptp_madd(_226445, _226443), _227950, _227952)), leq(n0, _227952), leq(_227952, _226441), leq(n0, _227950), leq(_227950, _226441)]]], (560 ^ _207731) ^ [_228536, _228538, _228540] : [565 ^ _207731 : [(566 ^ _207731) ^ [] : [-(leq(n0, 563 ^ [_228536, _228538, _228540]))], (568 ^ _207731) ^ [] : [-(leq(563 ^ [_228536, _228538, _228540], _228536))], (570 ^ _207731) ^ [] : [-(leq(n0, 564 ^ [_228536, _228538, _228540]))], (572 ^ _207731) ^ [] : [-(leq(564 ^ [_228536, _228538, _228540], _228536))], (574 ^ _207731) ^ [] : [a_select3(_228540, 563 ^ [_228536, _228538, _228540], 564 ^ [_228536, _228538, _228540]) = a_select3(_228540, 564 ^ [_228536, _228538, _228540], 563 ^ [_228536, _228538, _228540])]], 577 ^ _207731 : [(578 ^ _207731) ^ [] : [-(leq(n0, 575 ^ [_228536, _228538, _228540]))], (580 ^ _207731) ^ [] : [-(leq(575 ^ [_228536, _228538, _228540], _228536))], (582 ^ _207731) ^ [] : [-(leq(n0, 576 ^ [_228536, _228538, _228540]))], (584 ^ _207731) ^ [] : [-(leq(576 ^ [_228536, _228538, _228540], _228536))], (586 ^ _207731) ^ [] : [a_select3(_228538, 575 ^ [_228536, _228538, _228540], 576 ^ [_228536, _228538, _228540]) = a_select3(_228538, 576 ^ [_228536, _228538, _228540], 575 ^ [_228536, _228538, _228540])]], 587 ^ _207731 : [(588 ^ _207731) ^ [_230045, _230047] : [-(a_select3(tptp_msub(_228540, _228538), _230047, _230045) = a_select3(tptp_msub(_228540, _228538), _230045, _230047)), leq(n0, _230047), leq(_230047, _228536), leq(n0, _230045), leq(_230045, _228536)]]], (606 ^ _207731) ^ [_230631, _230633, _230635] : [609 ^ _207731 : [(610 ^ _207731) ^ [] : [-(leq(n0, 607 ^ [_230631, _230633, _230635]))], (612 ^ _207731) ^ [] : [-(leq(607 ^ [_230631, _230633, _230635], _230631))], (614 ^ _207731) ^ [] : [-(leq(n0, 608 ^ [_230631, _230633, _230635]))], (616 ^ _207731) ^ [] : [-(leq(608 ^ [_230631, _230633, _230635], _230631))], (618 ^ _207731) ^ [] : [a_select3(_230633, 607 ^ [_230631, _230633, _230635], 608 ^ [_230631, _230633, _230635]) = a_select3(_230633, 608 ^ [_230631, _230633, _230635], 607 ^ [_230631, _230633, _230635])]], 619 ^ _207731 : [(620 ^ _207731) ^ [_231444, _231446] : [-(a_select3(tptp_mmul(_230635, tptp_mmul(_230633, trans(_230635))), _231446, _231444) = a_select3(tptp_mmul(_230635, tptp_mmul(_230633, trans(_230635))), _231444, _231446)), leq(n0, _231446), leq(_231446, _230631), leq(n0, _231444), leq(_231444, _230631)]]], (638 ^ _207731) ^ [_232063, _232065, _232067, _232069] : [641 ^ _207731 : [(642 ^ _207731) ^ [] : [-(leq(n0, 639 ^ [_232063, _232065, _232067, _232069]))], (644 ^ _207731) ^ [] : [-(leq(639 ^ [_232063, _232065, _232067, _232069], _232063))], (646 ^ _207731) ^ [] : [-(leq(n0, 640 ^ [_232063, _232065, _232067, _232069]))], (648 ^ _207731) ^ [] : [-(leq(640 ^ [_232063, _232065, _232067, _232069], _232063))], (650 ^ _207731) ^ [] : [a_select3(_232067, 639 ^ [_232063, _232065, _232067, _232069], 640 ^ [_232063, _232065, _232067, _232069]) = a_select3(_232067, 640 ^ [_232063, _232065, _232067, _232069], 639 ^ [_232063, _232065, _232067, _232069])]], 651 ^ _207731 : [(652 ^ _207731) ^ [_232920, _232922] : [-(a_select3(tptp_mmul(_232069, tptp_mmul(_232067, trans(_232069))), _232922, _232920) = a_select3(tptp_mmul(_232069, tptp_mmul(_232067, trans(_232069))), _232920, _232922)), leq(n0, _232922), leq(_232922, _232065), leq(n0, _232920), leq(_232920, _232065)]]], (670 ^ _207731) ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629] : [675 ^ _207731 : [(676 ^ _207731) ^ [] : [-(leq(n0, 673 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (678 ^ _207731) ^ [] : [-(leq(673 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233615))], (680 ^ _207731) ^ [] : [-(leq(n0, 674 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (682 ^ _207731) ^ [] : [-(leq(674 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233615))], (684 ^ _207731) ^ [] : [a_select3(_233623, 673 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 674 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]) = a_select3(_233623, 674 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 673 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629])]], 689 ^ _207731 : [(690 ^ _207731) ^ [] : [-(leq(n0, 687 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (692 ^ _207731) ^ [] : [-(leq(687 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233617))], (694 ^ _207731) ^ [] : [-(leq(n0, 688 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (696 ^ _207731) ^ [] : [-(leq(688 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233617))], (698 ^ _207731) ^ [] : [a_select3(_233629, 687 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 688 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]) = a_select3(_233629, 688 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 687 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629])]], 701 ^ _207731 : [(702 ^ _207731) ^ [] : [-(leq(n0, 699 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (704 ^ _207731) ^ [] : [-(leq(699 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233617))], (706 ^ _207731) ^ [] : [-(leq(n0, 700 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]))], (708 ^ _207731) ^ [] : [-(leq(700 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], _233617))], (710 ^ _207731) ^ [] : [a_select3(_233619, 699 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 700 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629]) = a_select3(_233619, 700 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629], 699 ^ [_233615, _233617, _233619, _233621, _233623, _233625, _233627, _233629])]], 711 ^ _207731 : [(712 ^ _207731) ^ [_236543, _236545] : [-(a_select3(tptp_madd(_233629, tptp_mmul(_233627, tptp_mmul(tptp_madd(tptp_mmul(_233625, tptp_mmul(_233623, trans(_233625))), tptp_mmul(_233621, tptp_mmul(_233619, trans(_233621)))), trans(_233627)))), _236545, _236543) = a_select3(tptp_madd(_233629, tptp_mmul(_233627, tptp_mmul(tptp_madd(tptp_mmul(_233625, tptp_mmul(_233623, trans(_233625))), tptp_mmul(_233621, tptp_mmul(_233619, trans(_233621)))), trans(_233627)))), _236543, _236545)), leq(n0, _236545), leq(_236545, _233617), leq(n0, _236543), leq(_236543, _233617)]]], (730 ^ _207731) ^ [_237296] : [-(sum(n0, tptp_minus_1, _237296) = n0)], (732 ^ _207731) ^ [_237378] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _237378))], (734 ^ _207731) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _207731) ^ [_237513] : [-(plus(_237513, n1) = succ(_237513))], (738 ^ _207731) ^ [_237596] : [-(plus(n1, _237596) = succ(_237596))], (740 ^ _207731) ^ [_237679] : [-(plus(_237679, n2) = succ(succ(_237679)))], (742 ^ _207731) ^ [_237764] : [-(plus(n2, _237764) = succ(succ(_237764)))], (744 ^ _207731) ^ [_237849] : [-(plus(_237849, n3) = succ(succ(succ(_237849))))], (746 ^ _207731) ^ [_237936] : [-(plus(n3, _237936) = succ(succ(succ(_237936))))], (748 ^ _207731) ^ [_238023] : [-(plus(_238023, n4) = succ(succ(succ(succ(_238023)))))], (750 ^ _207731) ^ [_238112] : [-(plus(n4, _238112) = succ(succ(succ(succ(_238112)))))], (752 ^ _207731) ^ [_238201] : [-(plus(_238201, n5) = succ(succ(succ(succ(succ(_238201))))))], (754 ^ _207731) ^ [_238292] : [-(plus(n5, _238292) = succ(succ(succ(succ(succ(_238292))))))], (756 ^ _207731) ^ [_238383] : [-(minus(_238383, n1) = pred(_238383))], (758 ^ _207731) ^ [_238466] : [-(pred(succ(_238466)) = _238466)], (760 ^ _207731) ^ [_238548] : [-(succ(pred(_238548)) = _238548)], (762 ^ _207731) ^ [_238688, _238690] : [leq(succ(_238690), succ(_238688)), -(leq(_238690, _238688))], (768 ^ _207731) ^ [_238858, _238860] : [leq(_238860, _238858), -(leq(succ(_238860), succ(_238858)))], (774 ^ _207731) ^ [_239078, _239080] : [leq(succ(_239080), _239078), -(gt(_239078, _239080))], (780 ^ _207731) ^ [_239292, _239294] : [leq(minus(_239294, _239292), _239294), -(leq(n0, _239292))], (786 ^ _207731) ^ [_239521, _239523, _239525, _239527] : [-(a_select3(tptp_update3(_239527, _239525, _239523, _239521), _239525, _239523) = _239521)], (788 ^ _207731) ^ [_239713, _239715, _239717, _239719, _239721, _239723, _239725] : [-(a_select3(tptp_update3(_239717, _239725, _239723, _239713), _239721, _239719) = _239715), -(_239725 = _239721), _239723 = _239719, a_select3(_239717, _239721, _239719) = _239715], (802 ^ _207731) ^ [_240256, _240258, _240260, _240262, _240264, _240266] : [-(a_select3(tptp_update3(_240258, _240262, _240260, _240256), _240266, _240264) = _240256), 807 ^ _207731 : [(808 ^ _207731) ^ [] : [-(leq(n0, 805 ^ [_240256, _240258, _240260, _240262, _240264, _240266]))], (810 ^ _207731) ^ [] : [-(leq(n0, 806 ^ [_240256, _240258, _240260, _240262, _240264, _240266]))], (812 ^ _207731) ^ [] : [-(leq(805 ^ [_240256, _240258, _240260, _240262, _240264, _240266], _240262))], (814 ^ _207731) ^ [] : [-(leq(806 ^ [_240256, _240258, _240260, _240262, _240264, _240266], _240260))], (816 ^ _207731) ^ [] : [a_select3(_240258, 805 ^ [_240256, _240258, _240260, _240262, _240264, _240266], 806 ^ [_240256, _240258, _240260, _240262, _240264, _240266]) = _240256]], leq(n0, _240266), leq(_240266, _240262), leq(n0, _240264), leq(_240264, _240260)], (834 ^ _207731) ^ [_241598, _241600, _241602] : [-(a_select2(tptp_update2(_241602, _241600, _241598), _241600) = _241598)], (836 ^ _207731) ^ [_241758, _241760, _241762, _241764, _241766] : [-(a_select2(tptp_update2(_241762, _241766, _241758), _241764) = _241760), -(_241766 = _241764), a_select2(_241762, _241764) = _241760], (865 ^ _207731) ^ [] : [-(true)], (867 ^ _207731) ^ [] : [def = use], (846 ^ _207731) ^ [_242138, _242140, _242142, _242144] : [-(a_select2(tptp_update2(_242140, _242142, _242138), _242144) = _242138), 850 ^ _207731 : [(851 ^ _207731) ^ [] : [-(leq(n0, 849 ^ [_242138, _242140, _242142, _242144]))], (853 ^ _207731) ^ [] : [-(leq(849 ^ [_242138, _242140, _242142, _242144], _242142))], (855 ^ _207731) ^ [] : [a_select2(_242140, 849 ^ [_242138, _242140, _242142, _242144]) = _242138]], leq(n0, _242144), leq(_242144, _242142)]], input).
% 0.34/1.39 ncf('1',plain,[true],start(1145 ^ 0)).
% 0.34/1.39 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------