%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV022+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 12:19:47 EDT 2023
% Result : Theorem 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV022+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n027.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 03:04:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(1041 ^ _194047) ^ [] : [init = init], (2 ^ _194047) ^ [_194191] : [-(_194191 = _194191)], (4 ^ _194047) ^ [_194298, _194300] : [_194300 = _194298, -(_194298 = _194300)], (10 ^ _194047) ^ [_194502, _194504, _194506] : [-(_194506 = _194502), _194506 = _194504, _194504 = _194502], (20 ^ _194047) ^ [_194843, _194845, _194847, _194849] : [-(lt(_194847, _194843)), lt(_194849, _194845), _194849 = _194847, _194845 = _194843], (34 ^ _194047) ^ [_195287, _195289, _195291, _195293] : [-(geq(_195291, _195287)), geq(_195293, _195289), _195293 = _195291, _195289 = _195287], (48 ^ _194047) ^ [_195731, _195733, _195735, _195737] : [-(gt(_195735, _195731)), gt(_195737, _195733), _195737 = _195735, _195733 = _195731], (62 ^ _194047) ^ [_196155, _196157, _196159, _196161] : [-(leq(_196159, _196155)), leq(_196161, _196157), _196161 = _196159, _196157 = _196155], (76 ^ _194047) ^ [_196611, _196613, _196615, _196617] : [-(uniform_int_rnd(_196617, _196613) = uniform_int_rnd(_196615, _196611)), _196617 = _196615, _196613 = _196611], (86 ^ _194047) ^ [_196970, _196972, _196974, _196976] : [-(tptp_const_array1(_196976, _196972) = tptp_const_array1(_196974, _196970)), _196976 = _196974, _196972 = _196970], (96 ^ _194047) ^ [_197357, _197359, _197361, _197363, _197365, _197367] : [-(tptp_const_array2(_197367, _197363, _197359) = tptp_const_array2(_197365, _197361, _197357)), _197367 = _197365, _197363 = _197361, _197359 = _197357], (110 ^ _194047) ^ [_197845, _197847, _197849, _197851] : [-(dim(_197851, _197847) = dim(_197849, _197845)), _197851 = _197849, _197847 = _197845], (120 ^ _194047) ^ [_198176, _198178] : [_198178 = _198176, -(inv(_198178) = inv(_198176))], (126 ^ _194047) ^ [_198422, _198424, _198426, _198428] : [-(tptp_msub(_198428, _198424) = tptp_msub(_198426, _198422)), _198428 = _198426, _198424 = _198422], (136 ^ _194047) ^ [_198781, _198783, _198785, _198787] : [-(tptp_madd(_198787, _198783) = tptp_madd(_198785, _198781)), _198787 = _198785, _198783 = _198781], (146 ^ _194047) ^ [_199140, _199142, _199144, _199146] : [-(tptp_mmul(_199146, _199142) = tptp_mmul(_199144, _199140)), _199146 = _199144, _199142 = _199140], (156 ^ _194047) ^ [_199471, _199473] : [_199473 = _199471, -(trans(_199473) = trans(_199471))], (162 ^ _194047) ^ [_199745, _199747, _199749, _199751, _199753, _199755] : [-(sum(_199755, _199751, _199747) = sum(_199753, _199749, _199745)), _199755 = _199753, _199751 = _199749, _199747 = _199745], (176 ^ _194047) ^ [_200233, _200235, _200237, _200239] : [-(plus(_200239, _200235) = plus(_200237, _200233)), _200239 = _200237, _200235 = _200233], (186 ^ _194047) ^ [_200564, _200566] : [_200566 = _200564, -(pred(_200566) = pred(_200564))], (192 ^ _194047) ^ [_200810, _200812, _200814, _200816] : [-(minus(_200816, _200812) = minus(_200814, _200810)), _200816 = _200814, _200812 = _200810], (202 ^ _194047) ^ [_201197, _201199, _201201, _201203, _201205, _201207] : [-(a_select3(_201207, _201203, _201199) = a_select3(_201205, _201201, _201197)), _201207 = _201205, _201203 = _201201, _201199 = _201197], (216 ^ _194047) ^ [_201741, _201743, _201745, _201747, _201749, _201751, _201753, _201755] : [-(tptp_update3(_201755, _201751, _201747, _201743) = tptp_update3(_201753, _201749, _201745, _201741)), _201755 = _201753, _201751 = _201749, _201747 = _201745, _201743 = _201741], (234 ^ _194047) ^ [_202374, _202376, _202378, _202380] : [-(a_select2(_202380, _202376) = a_select2(_202378, _202374)), _202380 = _202378, _202376 = _202374], (258 ^ _194047) ^ [_203201, _203203] : [_203203 = _203201, -(succ(_203203) = succ(_203201))], (244 ^ _194047) ^ [_202761, _202763, _202765, _202767, _202769, _202771] : [-(tptp_update2(_202771, _202767, _202763) = tptp_update2(_202769, _202765, _202761)), _202771 = _202769, _202767 = _202765, _202763 = _202761], (869 ^ _194047) ^ [] : [-(gt(n5, n4))], (871 ^ _194047) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _194047) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _194047) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _194047) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _194047) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _194047) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _194047) ^ [] : [-(gt(n4, n0))], (885 ^ _194047) ^ [] : [-(gt(n5, n0))], (887 ^ _194047) ^ [] : [-(gt(n1, n0))], (889 ^ _194047) ^ [] : [-(gt(n2, n0))], (891 ^ _194047) ^ [] : [-(gt(n3, n0))], (893 ^ _194047) ^ [] : [-(gt(n4, n1))], (895 ^ _194047) ^ [] : [-(gt(n5, n1))], (897 ^ _194047) ^ [] : [-(gt(n2, n1))], (899 ^ _194047) ^ [] : [-(gt(n3, n1))], (901 ^ _194047) ^ [] : [-(gt(n4, n2))], (903 ^ _194047) ^ [] : [-(gt(n5, n2))], (905 ^ _194047) ^ [] : [-(gt(n3, n2))], (907 ^ _194047) ^ [] : [-(gt(n4, n3))], (909 ^ _194047) ^ [] : [-(gt(n5, n3))], (911 ^ _194047) ^ [_230557] : [leq(n0, _230557), leq(_230557, n4), -(_230557 = n0), -(_230557 = n1), -(_230557 = n2), -(_230557 = n3), -(_230557 = n4)], (937 ^ _194047) ^ [_231178] : [leq(n0, _231178), leq(_231178, n5), -(_231178 = n0), -(_231178 = n1), -(_231178 = n2), -(_231178 = n3), -(_231178 = n4), -(_231178 = n5)], (967 ^ _194047) ^ [_231885] : [-(_231885 = n0), leq(n0, _231885), leq(_231885, n0)], (977 ^ _194047) ^ [_232160] : [leq(n0, _232160), leq(_232160, n1), -(_232160 = n0), -(_232160 = n1)], (991 ^ _194047) ^ [_232523] : [leq(n0, _232523), leq(_232523, n2), -(_232523 = n0), -(_232523 = n1), -(_232523 = n2)], (1031 ^ _194047) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _194047) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _194047) ^ [] : [-(succ(n0) = n1)], (1037 ^ _194047) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _194047) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _194047) ^ [_232972] : [leq(n0, _232972), leq(_232972, n3), -(_232972 = n0), -(_232972 = n1), -(_232972 = n2), -(_232972 = n3)], (264 ^ _194047) ^ [_203519, _203521] : [-(gt(_203521, _203519)), -(gt(_203519, _203521)), -(_203521 = _203519)], (274 ^ _194047) ^ [_203834, _203836, _203838] : [-(gt(_203838, _203834)), gt(_203838, _203836), gt(_203836, _203834)], (284 ^ _194047) ^ [_204113] : [gt(_204113, _204113)], (286 ^ _194047) ^ [_204191] : [-(leq(_204191, _204191))], (288 ^ _194047) ^ [_204312, _204314, _204316] : [-(leq(_204316, _204312)), leq(_204316, _204314), leq(_204314, _204312)], (298 ^ _194047) ^ [_204650, _204652] : [lt(_204652, _204650), -(gt(_204650, _204652))], (304 ^ _194047) ^ [_204812, _204814] : [gt(_204812, _204814), -(lt(_204814, _204812))], (310 ^ _194047) ^ [_205053, _205055] : [geq(_205055, _205053), -(leq(_205053, _205055))], (316 ^ _194047) ^ [_205215, _205217] : [leq(_205215, _205217), -(geq(_205217, _205215))], (322 ^ _194047) ^ [_205427, _205429] : [gt(_205427, _205429), -(leq(_205429, _205427))], (328 ^ _194047) ^ [_205637, _205639] : [-(gt(_205637, _205639)), leq(_205639, _205637), -(_205639 = _205637)], (338 ^ _194047) ^ [_205968, _205970] : [leq(_205970, pred(_205968)), -(gt(_205968, _205970))], (344 ^ _194047) ^ [_206134, _206136] : [gt(_206134, _206136), -(leq(_206136, pred(_206134)))], (350 ^ _194047) ^ [_206321] : [-(gt(succ(_206321), _206321))], (352 ^ _194047) ^ [_206430, _206432] : [leq(_206432, _206430), -(leq(_206432, succ(_206430)))], (358 ^ _194047) ^ [_206673, _206675] : [leq(_206675, _206673), -(gt(succ(_206673), _206675))], (364 ^ _194047) ^ [_206839, _206841] : [gt(succ(_206839), _206841), -(leq(_206841, _206839))], (370 ^ _194047) ^ [_207055, _207057] : [leq(n0, _207057), -(leq(uniform_int_rnd(_207055, _207057), _207057))], (376 ^ _194047) ^ [_207271, _207273] : [leq(n0, _207273), -(leq(n0, uniform_int_rnd(_207271, _207273)))], (382 ^ _194047) ^ [_207515, _207517, _207519, _207521] : [-(a_select2(tptp_const_array1(dim(_207519, _207517), _207515), _207521) = _207515), leq(_207519, _207521), leq(_207521, _207517)], (392 ^ _194047) ^ [_207922, _207924, _207926, _207928, _207930, _207932, _207934] : [-(a_select3(tptp_const_array2(dim(_207932, _207930), dim(_207926, _207924), _207922), _207934, _207928) = _207922), leq(_207932, _207934), leq(_207934, _207930), leq(_207926, _207928), leq(_207928, _207924)], (410 ^ _194047) ^ [_208517, _208519] : [413 ^ _194047 : [(414 ^ _194047) ^ [] : [-(leq(n0, 411 ^ [_208517, _208519]))], (416 ^ _194047) ^ [] : [-(leq(411 ^ [_208517, _208519], _208517))], (418 ^ _194047) ^ [] : [-(leq(n0, 412 ^ [_208517, _208519]))], (420 ^ _194047) ^ [] : [-(leq(412 ^ [_208517, _208519], _208517))], (422 ^ _194047) ^ [] : [a_select3(_208519, 411 ^ [_208517, _208519], 412 ^ [_208517, _208519]) = a_select3(_208519, 412 ^ [_208517, _208519], 411 ^ [_208517, _208519])]], 423 ^ _194047 : [(424 ^ _194047) ^ [_209274, _209276] : [-(a_select3(trans(_208519), _209276, _209274) = a_select3(trans(_208519), _209274, _209276)), leq(n0, _209276), leq(_209276, _208517), leq(n0, _209274), leq(_209274, _208517)]]], (442 ^ _194047) ^ [_209821, _209823] : [445 ^ _194047 : [(446 ^ _194047) ^ [] : [-(leq(n0, 443 ^ [_209821, _209823]))], (448 ^ _194047) ^ [] : [-(leq(443 ^ [_209821, _209823], _209821))], (450 ^ _194047) ^ [] : [-(leq(n0, 444 ^ [_209821, _209823]))], (452 ^ _194047) ^ [] : [-(leq(444 ^ [_209821, _209823], _209821))], (454 ^ _194047) ^ [] : [a_select3(_209823, 443 ^ [_209821, _209823], 444 ^ [_209821, _209823]) = a_select3(_209823, 444 ^ [_209821, _209823], 443 ^ [_209821, _209823])]], 455 ^ _194047 : [(456 ^ _194047) ^ [_210578, _210580] : [-(a_select3(inv(_209823), _210580, _210578) = a_select3(inv(_209823), _210578, _210580)), leq(n0, _210580), leq(_210580, _209821), leq(n0, _210578), leq(_210578, _209821)]]], (474 ^ _194047) ^ [_211125, _211127] : [477 ^ _194047 : [(478 ^ _194047) ^ [] : [-(leq(n0, 475 ^ [_211125, _211127]))], (480 ^ _194047) ^ [] : [-(leq(475 ^ [_211125, _211127], _211125))], (482 ^ _194047) ^ [] : [-(leq(n0, 476 ^ [_211125, _211127]))], (484 ^ _194047) ^ [] : [-(leq(476 ^ [_211125, _211127], _211125))], (486 ^ _194047) ^ [] : [a_select3(_211127, 475 ^ [_211125, _211127], 476 ^ [_211125, _211127]) = a_select3(_211127, 476 ^ [_211125, _211127], 475 ^ [_211125, _211127])]], 487 ^ _194047 : [(488 ^ _194047) ^ [_211938, _211940, _211942, _211944] : [-(a_select3(tptp_update3(_211127, _211940, _211940, _211938), _211944, _211942) = a_select3(tptp_update3(_211127, _211940, _211940, _211938), _211942, _211944)), leq(n0, _211944), leq(_211944, _211125), leq(n0, _211942), leq(_211942, _211125), leq(n0, _211940), leq(_211940, _211125)]]], (514 ^ _194047) ^ [_212757, _212759, _212761] : [519 ^ _194047 : [(520 ^ _194047) ^ [] : [-(leq(n0, 517 ^ [_212757, _212759, _212761]))], (522 ^ _194047) ^ [] : [-(leq(517 ^ [_212757, _212759, _212761], _212757))], (524 ^ _194047) ^ [] : [-(leq(n0, 518 ^ [_212757, _212759, _212761]))], (526 ^ _194047) ^ [] : [-(leq(518 ^ [_212757, _212759, _212761], _212757))], (528 ^ _194047) ^ [] : [a_select3(_212761, 517 ^ [_212757, _212759, _212761], 518 ^ [_212757, _212759, _212761]) = a_select3(_212761, 518 ^ [_212757, _212759, _212761], 517 ^ [_212757, _212759, _212761])]], 531 ^ _194047 : [(532 ^ _194047) ^ [] : [-(leq(n0, 529 ^ [_212757, _212759, _212761]))], (534 ^ _194047) ^ [] : [-(leq(529 ^ [_212757, _212759, _212761], _212757))], (536 ^ _194047) ^ [] : [-(leq(n0, 530 ^ [_212757, _212759, _212761]))], (538 ^ _194047) ^ [] : [-(leq(530 ^ [_212757, _212759, _212761], _212757))], (540 ^ _194047) ^ [] : [a_select3(_212759, 529 ^ [_212757, _212759, _212761], 530 ^ [_212757, _212759, _212761]) = a_select3(_212759, 530 ^ [_212757, _212759, _212761], 529 ^ [_212757, _212759, _212761])]], 541 ^ _194047 : [(542 ^ _194047) ^ [_214266, _214268] : [-(a_select3(tptp_madd(_212761, _212759), _214268, _214266) = a_select3(tptp_madd(_212761, _212759), _214266, _214268)), leq(n0, _214268), leq(_214268, _212757), leq(n0, _214266), leq(_214266, _212757)]]], (560 ^ _194047) ^ [_214852, _214854, _214856] : [565 ^ _194047 : [(566 ^ _194047) ^ [] : [-(leq(n0, 563 ^ [_214852, _214854, _214856]))], (568 ^ _194047) ^ [] : [-(leq(563 ^ [_214852, _214854, _214856], _214852))], (570 ^ _194047) ^ [] : [-(leq(n0, 564 ^ [_214852, _214854, _214856]))], (572 ^ _194047) ^ [] : [-(leq(564 ^ [_214852, _214854, _214856], _214852))], (574 ^ _194047) ^ [] : [a_select3(_214856, 563 ^ [_214852, _214854, _214856], 564 ^ [_214852, _214854, _214856]) = a_select3(_214856, 564 ^ [_214852, _214854, _214856], 563 ^ [_214852, _214854, _214856])]], 577 ^ _194047 : [(578 ^ _194047) ^ [] : [-(leq(n0, 575 ^ [_214852, _214854, _214856]))], (580 ^ _194047) ^ [] : [-(leq(575 ^ [_214852, _214854, _214856], _214852))], (582 ^ _194047) ^ [] : [-(leq(n0, 576 ^ [_214852, _214854, _214856]))], (584 ^ _194047) ^ [] : [-(leq(576 ^ [_214852, _214854, _214856], _214852))], (586 ^ _194047) ^ [] : [a_select3(_214854, 575 ^ [_214852, _214854, _214856], 576 ^ [_214852, _214854, _214856]) = a_select3(_214854, 576 ^ [_214852, _214854, _214856], 575 ^ [_214852, _214854, _214856])]], 587 ^ _194047 : [(588 ^ _194047) ^ [_216361, _216363] : [-(a_select3(tptp_msub(_214856, _214854), _216363, _216361) = a_select3(tptp_msub(_214856, _214854), _216361, _216363)), leq(n0, _216363), leq(_216363, _214852), leq(n0, _216361), leq(_216361, _214852)]]], (606 ^ _194047) ^ [_216947, _216949, _216951] : [609 ^ _194047 : [(610 ^ _194047) ^ [] : [-(leq(n0, 607 ^ [_216947, _216949, _216951]))], (612 ^ _194047) ^ [] : [-(leq(607 ^ [_216947, _216949, _216951], _216947))], (614 ^ _194047) ^ [] : [-(leq(n0, 608 ^ [_216947, _216949, _216951]))], (616 ^ _194047) ^ [] : [-(leq(608 ^ [_216947, _216949, _216951], _216947))], (618 ^ _194047) ^ [] : [a_select3(_216949, 607 ^ [_216947, _216949, _216951], 608 ^ [_216947, _216949, _216951]) = a_select3(_216949, 608 ^ [_216947, _216949, _216951], 607 ^ [_216947, _216949, _216951])]], 619 ^ _194047 : [(620 ^ _194047) ^ [_217760, _217762] : [-(a_select3(tptp_mmul(_216951, tptp_mmul(_216949, trans(_216951))), _217762, _217760) = a_select3(tptp_mmul(_216951, tptp_mmul(_216949, trans(_216951))), _217760, _217762)), leq(n0, _217762), leq(_217762, _216947), leq(n0, _217760), leq(_217760, _216947)]]], (638 ^ _194047) ^ [_218379, _218381, _218383, _218385] : [641 ^ _194047 : [(642 ^ _194047) ^ [] : [-(leq(n0, 639 ^ [_218379, _218381, _218383, _218385]))], (644 ^ _194047) ^ [] : [-(leq(639 ^ [_218379, _218381, _218383, _218385], _218379))], (646 ^ _194047) ^ [] : [-(leq(n0, 640 ^ [_218379, _218381, _218383, _218385]))], (648 ^ _194047) ^ [] : [-(leq(640 ^ [_218379, _218381, _218383, _218385], _218379))], (650 ^ _194047) ^ [] : [a_select3(_218383, 639 ^ [_218379, _218381, _218383, _218385], 640 ^ [_218379, _218381, _218383, _218385]) = a_select3(_218383, 640 ^ [_218379, _218381, _218383, _218385], 639 ^ [_218379, _218381, _218383, _218385])]], 651 ^ _194047 : [(652 ^ _194047) ^ [_219236, _219238] : [-(a_select3(tptp_mmul(_218385, tptp_mmul(_218383, trans(_218385))), _219238, _219236) = a_select3(tptp_mmul(_218385, tptp_mmul(_218383, trans(_218385))), _219236, _219238)), leq(n0, _219238), leq(_219238, _218381), leq(n0, _219236), leq(_219236, _218381)]]], (670 ^ _194047) ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945] : [675 ^ _194047 : [(676 ^ _194047) ^ [] : [-(leq(n0, 673 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (678 ^ _194047) ^ [] : [-(leq(673 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219931))], (680 ^ _194047) ^ [] : [-(leq(n0, 674 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (682 ^ _194047) ^ [] : [-(leq(674 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219931))], (684 ^ _194047) ^ [] : [a_select3(_219939, 673 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 674 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]) = a_select3(_219939, 674 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 673 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945])]], 689 ^ _194047 : [(690 ^ _194047) ^ [] : [-(leq(n0, 687 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (692 ^ _194047) ^ [] : [-(leq(687 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219933))], (694 ^ _194047) ^ [] : [-(leq(n0, 688 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (696 ^ _194047) ^ [] : [-(leq(688 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219933))], (698 ^ _194047) ^ [] : [a_select3(_219945, 687 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 688 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]) = a_select3(_219945, 688 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 687 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945])]], 701 ^ _194047 : [(702 ^ _194047) ^ [] : [-(leq(n0, 699 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (704 ^ _194047) ^ [] : [-(leq(699 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219933))], (706 ^ _194047) ^ [] : [-(leq(n0, 700 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]))], (708 ^ _194047) ^ [] : [-(leq(700 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], _219933))], (710 ^ _194047) ^ [] : [a_select3(_219935, 699 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 700 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945]) = a_select3(_219935, 700 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945], 699 ^ [_219931, _219933, _219935, _219937, _219939, _219941, _219943, _219945])]], 711 ^ _194047 : [(712 ^ _194047) ^ [_222859, _222861] : [-(a_select3(tptp_madd(_219945, tptp_mmul(_219943, tptp_mmul(tptp_madd(tptp_mmul(_219941, tptp_mmul(_219939, trans(_219941))), tptp_mmul(_219937, tptp_mmul(_219935, trans(_219937)))), trans(_219943)))), _222861, _222859) = a_select3(tptp_madd(_219945, tptp_mmul(_219943, tptp_mmul(tptp_madd(tptp_mmul(_219941, tptp_mmul(_219939, trans(_219941))), tptp_mmul(_219937, tptp_mmul(_219935, trans(_219937)))), trans(_219943)))), _222859, _222861)), leq(n0, _222861), leq(_222861, _219933), leq(n0, _222859), leq(_222859, _219933)]]], (730 ^ _194047) ^ [_223612] : [-(sum(n0, tptp_minus_1, _223612) = n0)], (732 ^ _194047) ^ [_223694] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _223694))], (734 ^ _194047) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _194047) ^ [_223829] : [-(plus(_223829, n1) = succ(_223829))], (738 ^ _194047) ^ [_223912] : [-(plus(n1, _223912) = succ(_223912))], (740 ^ _194047) ^ [_223995] : [-(plus(_223995, n2) = succ(succ(_223995)))], (742 ^ _194047) ^ [_224080] : [-(plus(n2, _224080) = succ(succ(_224080)))], (744 ^ _194047) ^ [_224165] : [-(plus(_224165, n3) = succ(succ(succ(_224165))))], (746 ^ _194047) ^ [_224252] : [-(plus(n3, _224252) = succ(succ(succ(_224252))))], (748 ^ _194047) ^ [_224339] : [-(plus(_224339, n4) = succ(succ(succ(succ(_224339)))))], (750 ^ _194047) ^ [_224428] : [-(plus(n4, _224428) = succ(succ(succ(succ(_224428)))))], (752 ^ _194047) ^ [_224517] : [-(plus(_224517, n5) = succ(succ(succ(succ(succ(_224517))))))], (754 ^ _194047) ^ [_224608] : [-(plus(n5, _224608) = succ(succ(succ(succ(succ(_224608))))))], (756 ^ _194047) ^ [_224699] : [-(minus(_224699, n1) = pred(_224699))], (758 ^ _194047) ^ [_224782] : [-(pred(succ(_224782)) = _224782)], (760 ^ _194047) ^ [_224864] : [-(succ(pred(_224864)) = _224864)], (762 ^ _194047) ^ [_225004, _225006] : [leq(succ(_225006), succ(_225004)), -(leq(_225006, _225004))], (768 ^ _194047) ^ [_225174, _225176] : [leq(_225176, _225174), -(leq(succ(_225176), succ(_225174)))], (774 ^ _194047) ^ [_225394, _225396] : [leq(succ(_225396), _225394), -(gt(_225394, _225396))], (780 ^ _194047) ^ [_225608, _225610] : [leq(minus(_225610, _225608), _225610), -(leq(n0, _225608))], (786 ^ _194047) ^ [_225837, _225839, _225841, _225843] : [-(a_select3(tptp_update3(_225843, _225841, _225839, _225837), _225841, _225839) = _225837)], (788 ^ _194047) ^ [_226029, _226031, _226033, _226035, _226037, _226039, _226041] : [-(a_select3(tptp_update3(_226033, _226041, _226039, _226029), _226037, _226035) = _226031), -(_226041 = _226037), _226039 = _226035, a_select3(_226033, _226037, _226035) = _226031], (802 ^ _194047) ^ [_226572, _226574, _226576, _226578, _226580, _226582] : [-(a_select3(tptp_update3(_226574, _226578, _226576, _226572), _226582, _226580) = _226572), 807 ^ _194047 : [(808 ^ _194047) ^ [] : [-(leq(n0, 805 ^ [_226572, _226574, _226576, _226578, _226580, _226582]))], (810 ^ _194047) ^ [] : [-(leq(n0, 806 ^ [_226572, _226574, _226576, _226578, _226580, _226582]))], (812 ^ _194047) ^ [] : [-(leq(805 ^ [_226572, _226574, _226576, _226578, _226580, _226582], _226578))], (814 ^ _194047) ^ [] : [-(leq(806 ^ [_226572, _226574, _226576, _226578, _226580, _226582], _226576))], (816 ^ _194047) ^ [] : [a_select3(_226574, 805 ^ [_226572, _226574, _226576, _226578, _226580, _226582], 806 ^ [_226572, _226574, _226576, _226578, _226580, _226582]) = _226572]], leq(n0, _226582), leq(_226582, _226578), leq(n0, _226580), leq(_226580, _226576)], (834 ^ _194047) ^ [_227914, _227916, _227918] : [-(a_select2(tptp_update2(_227918, _227916, _227914), _227916) = _227914)], (836 ^ _194047) ^ [_228074, _228076, _228078, _228080, _228082] : [-(a_select2(tptp_update2(_228078, _228082, _228074), _228080) = _228076), -(_228082 = _228080), a_select2(_228078, _228080) = _228076], (865 ^ _194047) ^ [] : [-(true)], (867 ^ _194047) ^ [] : [def = use], (846 ^ _194047) ^ [_228454, _228456, _228458, _228460] : [-(a_select2(tptp_update2(_228456, _228458, _228454), _228460) = _228454), 850 ^ _194047 : [(851 ^ _194047) ^ [] : [-(leq(n0, 849 ^ [_228454, _228456, _228458, _228460]))], (853 ^ _194047) ^ [] : [-(leq(849 ^ [_228454, _228456, _228458, _228460], _228458))], (855 ^ _194047) ^ [] : [a_select2(_228456, 849 ^ [_228454, _228456, _228458, _228460]) = _228454]], leq(n0, _228460), leq(_228460, _228458)]], input).
% 0.34/1.38 ncf('1',plain,[init = init],start(1041 ^ 0)).
% 0.34/1.38 ncf('1.1',plain,[-(init = init)],extension(2 ^ 1,bind([[_194191], [init]]))).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------