%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV083+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 12:19:56 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
% 0.04/0.12  % Problem  : SWV083+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n031.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 02:45:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1041 ^ _195071) ^ [] : [-(leq(n0, pv66))], (1043 ^ _195071) ^ [] : [-(leq(pv66, minus(n5, n1)))], (1045 ^ _195071) ^ [] : [leq(n0, pv66), leq(pv66, minus(n5, n1))], (2 ^ _195071) ^ [_195215] : [-(_195215 = _195215)], (4 ^ _195071) ^ [_195322, _195324] : [_195324 = _195322, -(_195322 = _195324)], (10 ^ _195071) ^ [_195526, _195528, _195530] : [-(_195530 = _195526), _195530 = _195528, _195528 = _195526], (20 ^ _195071) ^ [_195867, _195869, _195871, _195873] : [-(lt(_195871, _195867)), lt(_195873, _195869), _195873 = _195871, _195869 = _195867], (34 ^ _195071) ^ [_196311, _196313, _196315, _196317] : [-(geq(_196315, _196311)), geq(_196317, _196313), _196317 = _196315, _196313 = _196311], (48 ^ _195071) ^ [_196755, _196757, _196759, _196761] : [-(gt(_196759, _196755)), gt(_196761, _196757), _196761 = _196759, _196757 = _196755], (62 ^ _195071) ^ [_197179, _197181, _197183, _197185] : [-(leq(_197183, _197179)), leq(_197185, _197181), _197185 = _197183, _197181 = _197179], (76 ^ _195071) ^ [_197635, _197637, _197639, _197641] : [-(uniform_int_rnd(_197641, _197637) = uniform_int_rnd(_197639, _197635)), _197641 = _197639, _197637 = _197635], (86 ^ _195071) ^ [_197994, _197996, _197998, _198000] : [-(tptp_const_array1(_198000, _197996) = tptp_const_array1(_197998, _197994)), _198000 = _197998, _197996 = _197994], (96 ^ _195071) ^ [_198381, _198383, _198385, _198387, _198389, _198391] : [-(tptp_const_array2(_198391, _198387, _198383) = tptp_const_array2(_198389, _198385, _198381)), _198391 = _198389, _198387 = _198385, _198383 = _198381], (110 ^ _195071) ^ [_198869, _198871, _198873, _198875] : [-(dim(_198875, _198871) = dim(_198873, _198869)), _198875 = _198873, _198871 = _198869], (120 ^ _195071) ^ [_199200, _199202] : [_199202 = _199200, -(inv(_199202) = inv(_199200))], (126 ^ _195071) ^ [_199446, _199448, _199450, _199452] : [-(tptp_msub(_199452, _199448) = tptp_msub(_199450, _199446)), _199452 = _199450, _199448 = _199446], (136 ^ _195071) ^ [_199805, _199807, _199809, _199811] : [-(tptp_madd(_199811, _199807) = tptp_madd(_199809, _199805)), _199811 = _199809, _199807 = _199805], (146 ^ _195071) ^ [_200164, _200166, _200168, _200170] : [-(tptp_mmul(_200170, _200166) = tptp_mmul(_200168, _200164)), _200170 = _200168, _200166 = _200164], (156 ^ _195071) ^ [_200495, _200497] : [_200497 = _200495, -(trans(_200497) = trans(_200495))], (162 ^ _195071) ^ [_200769, _200771, _200773, _200775, _200777, _200779] : [-(sum(_200779, _200775, _200771) = sum(_200777, _200773, _200769)), _200779 = _200777, _200775 = _200773, _200771 = _200769], (176 ^ _195071) ^ [_201257, _201259, _201261, _201263] : [-(plus(_201263, _201259) = plus(_201261, _201257)), _201263 = _201261, _201259 = _201257], (186 ^ _195071) ^ [_201588, _201590] : [_201590 = _201588, -(pred(_201590) = pred(_201588))], (192 ^ _195071) ^ [_201862, _201864, _201866, _201868, _201870, _201872] : [-(a_select3(_201872, _201868, _201864) = a_select3(_201870, _201866, _201862)), _201872 = _201870, _201868 = _201866, _201864 = _201862], (206 ^ _195071) ^ [_202406, _202408, _202410, _202412, _202414, _202416, _202418, _202420] : [-(tptp_update3(_202420, _202416, _202412, _202408) = tptp_update3(_202418, _202414, _202410, _202406)), _202420 = _202418, _202416 = _202414, _202412 = _202410, _202408 = _202406], (224 ^ _195071) ^ [_203039, _203041, _203043, _203045] : [-(a_select2(_203045, _203041) = a_select2(_203043, _203039)), _203045 = _203043, _203041 = _203039], (234 ^ _195071) ^ [_203426, _203428, _203430, _203432, _203434, _203436] : [-(tptp_update2(_203436, _203432, _203428) = tptp_update2(_203434, _203430, _203426)), _203436 = _203434, _203432 = _203430, _203428 = _203426], (248 ^ _195071) ^ [_203886, _203888] : [_203888 = _203886, -(succ(_203888) = succ(_203886))], (254 ^ _195071) ^ [_204112, _204114, _204116, _204118] : [-(minus(_204118, _204114) = minus(_204116, _204112)), _204118 = _204116, _204114 = _204112], (869 ^ _195071) ^ [] : [-(gt(n5, n4))], (871 ^ _195071) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _195071) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _195071) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _195071) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _195071) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _195071) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _195071) ^ [] : [-(gt(n4, n0))], (885 ^ _195071) ^ [] : [-(gt(n5, n0))], (887 ^ _195071) ^ [] : [-(gt(n1, n0))], (889 ^ _195071) ^ [] : [-(gt(n2, n0))], (891 ^ _195071) ^ [] : [-(gt(n3, n0))], (893 ^ _195071) ^ [] : [-(gt(n4, n1))], (895 ^ _195071) ^ [] : [-(gt(n5, n1))], (897 ^ _195071) ^ [] : [-(gt(n2, n1))], (899 ^ _195071) ^ [] : [-(gt(n3, n1))], (901 ^ _195071) ^ [] : [-(gt(n4, n2))], (903 ^ _195071) ^ [] : [-(gt(n5, n2))], (905 ^ _195071) ^ [] : [-(gt(n3, n2))], (907 ^ _195071) ^ [] : [-(gt(n4, n3))], (909 ^ _195071) ^ [] : [-(gt(n5, n3))], (911 ^ _195071) ^ [_231581] : [leq(n0, _231581), leq(_231581, n4), -(_231581 = n0), -(_231581 = n1), -(_231581 = n2), -(_231581 = n3), -(_231581 = n4)], (937 ^ _195071) ^ [_232202] : [leq(n0, _232202), leq(_232202, n5), -(_232202 = n0), -(_232202 = n1), -(_232202 = n2), -(_232202 = n3), -(_232202 = n4), -(_232202 = n5)], (967 ^ _195071) ^ [_232909] : [-(_232909 = n0), leq(n0, _232909), leq(_232909, n0)], (977 ^ _195071) ^ [_233184] : [leq(n0, _233184), leq(_233184, n1), -(_233184 = n0), -(_233184 = n1)], (991 ^ _195071) ^ [_233547] : [leq(n0, _233547), leq(_233547, n2), -(_233547 = n0), -(_233547 = n1), -(_233547 = n2)], (1031 ^ _195071) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _195071) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _195071) ^ [] : [-(succ(n0) = n1)], (1037 ^ _195071) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _195071) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _195071) ^ [_233996] : [leq(n0, _233996), leq(_233996, n3), -(_233996 = n0), -(_233996 = n1), -(_233996 = n2), -(_233996 = n3)], (264 ^ _195071) ^ [_204543, _204545] : [-(gt(_204545, _204543)), -(gt(_204543, _204545)), -(_204545 = _204543)], (274 ^ _195071) ^ [_204858, _204860, _204862] : [-(gt(_204862, _204858)), gt(_204862, _204860), gt(_204860, _204858)], (284 ^ _195071) ^ [_205137] : [gt(_205137, _205137)], (286 ^ _195071) ^ [_205215] : [-(leq(_205215, _205215))], (288 ^ _195071) ^ [_205336, _205338, _205340] : [-(leq(_205340, _205336)), leq(_205340, _205338), leq(_205338, _205336)], (298 ^ _195071) ^ [_205674, _205676] : [lt(_205676, _205674), -(gt(_205674, _205676))], (304 ^ _195071) ^ [_205836, _205838] : [gt(_205836, _205838), -(lt(_205838, _205836))], (310 ^ _195071) ^ [_206077, _206079] : [geq(_206079, _206077), -(leq(_206077, _206079))], (316 ^ _195071) ^ [_206239, _206241] : [leq(_206239, _206241), -(geq(_206241, _206239))], (322 ^ _195071) ^ [_206451, _206453] : [gt(_206451, _206453), -(leq(_206453, _206451))], (328 ^ _195071) ^ [_206661, _206663] : [-(gt(_206661, _206663)), leq(_206663, _206661), -(_206663 = _206661)], (338 ^ _195071) ^ [_206992, _206994] : [leq(_206994, pred(_206992)), -(gt(_206992, _206994))], (344 ^ _195071) ^ [_207158, _207160] : [gt(_207158, _207160), -(leq(_207160, pred(_207158)))], (350 ^ _195071) ^ [_207345] : [-(gt(succ(_207345), _207345))], (352 ^ _195071) ^ [_207454, _207456] : [leq(_207456, _207454), -(leq(_207456, succ(_207454)))], (358 ^ _195071) ^ [_207697, _207699] : [leq(_207699, _207697), -(gt(succ(_207697), _207699))], (364 ^ _195071) ^ [_207863, _207865] : [gt(succ(_207863), _207865), -(leq(_207865, _207863))], (370 ^ _195071) ^ [_208079, _208081] : [leq(n0, _208081), -(leq(uniform_int_rnd(_208079, _208081), _208081))], (376 ^ _195071) ^ [_208295, _208297] : [leq(n0, _208297), -(leq(n0, uniform_int_rnd(_208295, _208297)))], (382 ^ _195071) ^ [_208539, _208541, _208543, _208545] : [-(a_select2(tptp_const_array1(dim(_208543, _208541), _208539), _208545) = _208539), leq(_208543, _208545), leq(_208545, _208541)], (392 ^ _195071) ^ [_208946, _208948, _208950, _208952, _208954, _208956, _208958] : [-(a_select3(tptp_const_array2(dim(_208956, _208954), dim(_208950, _208948), _208946), _208958, _208952) = _208946), leq(_208956, _208958), leq(_208958, _208954), leq(_208950, _208952), leq(_208952, _208948)], (410 ^ _195071) ^ [_209541, _209543] : [413 ^ _195071 : [(414 ^ _195071) ^ [] : [-(leq(n0, 411 ^ [_209541, _209543]))], (416 ^ _195071) ^ [] : [-(leq(411 ^ [_209541, _209543], _209541))], (418 ^ _195071) ^ [] : [-(leq(n0, 412 ^ [_209541, _209543]))], (420 ^ _195071) ^ [] : [-(leq(412 ^ [_209541, _209543], _209541))], (422 ^ _195071) ^ [] : [a_select3(_209543, 411 ^ [_209541, _209543], 412 ^ [_209541, _209543]) = a_select3(_209543, 412 ^ [_209541, _209543], 411 ^ [_209541, _209543])]], 423 ^ _195071 : [(424 ^ _195071) ^ [_210298, _210300] : [-(a_select3(trans(_209543), _210300, _210298) = a_select3(trans(_209543), _210298, _210300)), leq(n0, _210300), leq(_210300, _209541), leq(n0, _210298), leq(_210298, _209541)]]], (442 ^ _195071) ^ [_210845, _210847] : [445 ^ _195071 : [(446 ^ _195071) ^ [] : [-(leq(n0, 443 ^ [_210845, _210847]))], (448 ^ _195071) ^ [] : [-(leq(443 ^ [_210845, _210847], _210845))], (450 ^ _195071) ^ [] : [-(leq(n0, 444 ^ [_210845, _210847]))], (452 ^ _195071) ^ [] : [-(leq(444 ^ [_210845, _210847], _210845))], (454 ^ _195071) ^ [] : [a_select3(_210847, 443 ^ [_210845, _210847], 444 ^ [_210845, _210847]) = a_select3(_210847, 444 ^ [_210845, _210847], 443 ^ [_210845, _210847])]], 455 ^ _195071 : [(456 ^ _195071) ^ [_211602, _211604] : [-(a_select3(inv(_210847), _211604, _211602) = a_select3(inv(_210847), _211602, _211604)), leq(n0, _211604), leq(_211604, _210845), leq(n0, _211602), leq(_211602, _210845)]]], (474 ^ _195071) ^ [_212149, _212151] : [477 ^ _195071 : [(478 ^ _195071) ^ [] : [-(leq(n0, 475 ^ [_212149, _212151]))], (480 ^ _195071) ^ [] : [-(leq(475 ^ [_212149, _212151], _212149))], (482 ^ _195071) ^ [] : [-(leq(n0, 476 ^ [_212149, _212151]))], (484 ^ _195071) ^ [] : [-(leq(476 ^ [_212149, _212151], _212149))], (486 ^ _195071) ^ [] : [a_select3(_212151, 475 ^ [_212149, _212151], 476 ^ [_212149, _212151]) = a_select3(_212151, 476 ^ [_212149, _212151], 475 ^ [_212149, _212151])]], 487 ^ _195071 : [(488 ^ _195071) ^ [_212962, _212964, _212966, _212968] : [-(a_select3(tptp_update3(_212151, _212964, _212964, _212962), _212968, _212966) = a_select3(tptp_update3(_212151, _212964, _212964, _212962), _212966, _212968)), leq(n0, _212968), leq(_212968, _212149), leq(n0, _212966), leq(_212966, _212149), leq(n0, _212964), leq(_212964, _212149)]]], (514 ^ _195071) ^ [_213781, _213783, _213785] : [519 ^ _195071 : [(520 ^ _195071) ^ [] : [-(leq(n0, 517 ^ [_213781, _213783, _213785]))], (522 ^ _195071) ^ [] : [-(leq(517 ^ [_213781, _213783, _213785], _213781))], (524 ^ _195071) ^ [] : [-(leq(n0, 518 ^ [_213781, _213783, _213785]))], (526 ^ _195071) ^ [] : [-(leq(518 ^ [_213781, _213783, _213785], _213781))], (528 ^ _195071) ^ [] : [a_select3(_213785, 517 ^ [_213781, _213783, _213785], 518 ^ [_213781, _213783, _213785]) = a_select3(_213785, 518 ^ [_213781, _213783, _213785], 517 ^ [_213781, _213783, _213785])]], 531 ^ _195071 : [(532 ^ _195071) ^ [] : [-(leq(n0, 529 ^ [_213781, _213783, _213785]))], (534 ^ _195071) ^ [] : [-(leq(529 ^ [_213781, _213783, _213785], _213781))], (536 ^ _195071) ^ [] : [-(leq(n0, 530 ^ [_213781, _213783, _213785]))], (538 ^ _195071) ^ [] : [-(leq(530 ^ [_213781, _213783, _213785], _213781))], (540 ^ _195071) ^ [] : [a_select3(_213783, 529 ^ [_213781, _213783, _213785], 530 ^ [_213781, _213783, _213785]) = a_select3(_213783, 530 ^ [_213781, _213783, _213785], 529 ^ [_213781, _213783, _213785])]], 541 ^ _195071 : [(542 ^ _195071) ^ [_215290, _215292] : [-(a_select3(tptp_madd(_213785, _213783), _215292, _215290) = a_select3(tptp_madd(_213785, _213783), _215290, _215292)), leq(n0, _215292), leq(_215292, _213781), leq(n0, _215290), leq(_215290, _213781)]]], (560 ^ _195071) ^ [_215876, _215878, _215880] : [565 ^ _195071 : [(566 ^ _195071) ^ [] : [-(leq(n0, 563 ^ [_215876, _215878, _215880]))], (568 ^ _195071) ^ [] : [-(leq(563 ^ [_215876, _215878, _215880], _215876))], (570 ^ _195071) ^ [] : [-(leq(n0, 564 ^ [_215876, _215878, _215880]))], (572 ^ _195071) ^ [] : [-(leq(564 ^ [_215876, _215878, _215880], _215876))], (574 ^ _195071) ^ [] : [a_select3(_215880, 563 ^ [_215876, _215878, _215880], 564 ^ [_215876, _215878, _215880]) = a_select3(_215880, 564 ^ [_215876, _215878, _215880], 563 ^ [_215876, _215878, _215880])]], 577 ^ _195071 : [(578 ^ _195071) ^ [] : [-(leq(n0, 575 ^ [_215876, _215878, _215880]))], (580 ^ _195071) ^ [] : [-(leq(575 ^ [_215876, _215878, _215880], _215876))], (582 ^ _195071) ^ [] : [-(leq(n0, 576 ^ [_215876, _215878, _215880]))], (584 ^ _195071) ^ [] : [-(leq(576 ^ [_215876, _215878, _215880], _215876))], (586 ^ _195071) ^ [] : [a_select3(_215878, 575 ^ [_215876, _215878, _215880], 576 ^ [_215876, _215878, _215880]) = a_select3(_215878, 576 ^ [_215876, _215878, _215880], 575 ^ [_215876, _215878, _215880])]], 587 ^ _195071 : [(588 ^ _195071) ^ [_217385, _217387] : [-(a_select3(tptp_msub(_215880, _215878), _217387, _217385) = a_select3(tptp_msub(_215880, _215878), _217385, _217387)), leq(n0, _217387), leq(_217387, _215876), leq(n0, _217385), leq(_217385, _215876)]]], (606 ^ _195071) ^ [_217971, _217973, _217975] : [609 ^ _195071 : [(610 ^ _195071) ^ [] : [-(leq(n0, 607 ^ [_217971, _217973, _217975]))], (612 ^ _195071) ^ [] : [-(leq(607 ^ [_217971, _217973, _217975], _217971))], (614 ^ _195071) ^ [] : [-(leq(n0, 608 ^ [_217971, _217973, _217975]))], (616 ^ _195071) ^ [] : [-(leq(608 ^ [_217971, _217973, _217975], _217971))], (618 ^ _195071) ^ [] : [a_select3(_217973, 607 ^ [_217971, _217973, _217975], 608 ^ [_217971, _217973, _217975]) = a_select3(_217973, 608 ^ [_217971, _217973, _217975], 607 ^ [_217971, _217973, _217975])]], 619 ^ _195071 : [(620 ^ _195071) ^ [_218784, _218786] : [-(a_select3(tptp_mmul(_217975, tptp_mmul(_217973, trans(_217975))), _218786, _218784) = a_select3(tptp_mmul(_217975, tptp_mmul(_217973, trans(_217975))), _218784, _218786)), leq(n0, _218786), leq(_218786, _217971), leq(n0, _218784), leq(_218784, _217971)]]], (638 ^ _195071) ^ [_219403, _219405, _219407, _219409] : [641 ^ _195071 : [(642 ^ _195071) ^ [] : [-(leq(n0, 639 ^ [_219403, _219405, _219407, _219409]))], (644 ^ _195071) ^ [] : [-(leq(639 ^ [_219403, _219405, _219407, _219409], _219403))], (646 ^ _195071) ^ [] : [-(leq(n0, 640 ^ [_219403, _219405, _219407, _219409]))], (648 ^ _195071) ^ [] : [-(leq(640 ^ [_219403, _219405, _219407, _219409], _219403))], (650 ^ _195071) ^ [] : [a_select3(_219407, 639 ^ [_219403, _219405, _219407, _219409], 640 ^ [_219403, _219405, _219407, _219409]) = a_select3(_219407, 640 ^ [_219403, _219405, _219407, _219409], 639 ^ [_219403, _219405, _219407, _219409])]], 651 ^ _195071 : [(652 ^ _195071) ^ [_220260, _220262] : [-(a_select3(tptp_mmul(_219409, tptp_mmul(_219407, trans(_219409))), _220262, _220260) = a_select3(tptp_mmul(_219409, tptp_mmul(_219407, trans(_219409))), _220260, _220262)), leq(n0, _220262), leq(_220262, _219405), leq(n0, _220260), leq(_220260, _219405)]]], (670 ^ _195071) ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969] : [675 ^ _195071 : [(676 ^ _195071) ^ [] : [-(leq(n0, 673 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (678 ^ _195071) ^ [] : [-(leq(673 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220955))], (680 ^ _195071) ^ [] : [-(leq(n0, 674 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (682 ^ _195071) ^ [] : [-(leq(674 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220955))], (684 ^ _195071) ^ [] : [a_select3(_220963, 673 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 674 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]) = a_select3(_220963, 674 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 673 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969])]], 689 ^ _195071 : [(690 ^ _195071) ^ [] : [-(leq(n0, 687 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (692 ^ _195071) ^ [] : [-(leq(687 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220957))], (694 ^ _195071) ^ [] : [-(leq(n0, 688 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (696 ^ _195071) ^ [] : [-(leq(688 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220957))], (698 ^ _195071) ^ [] : [a_select3(_220969, 687 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 688 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]) = a_select3(_220969, 688 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 687 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969])]], 701 ^ _195071 : [(702 ^ _195071) ^ [] : [-(leq(n0, 699 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (704 ^ _195071) ^ [] : [-(leq(699 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220957))], (706 ^ _195071) ^ [] : [-(leq(n0, 700 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]))], (708 ^ _195071) ^ [] : [-(leq(700 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], _220957))], (710 ^ _195071) ^ [] : [a_select3(_220959, 699 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 700 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969]) = a_select3(_220959, 700 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969], 699 ^ [_220955, _220957, _220959, _220961, _220963, _220965, _220967, _220969])]], 711 ^ _195071 : [(712 ^ _195071) ^ [_223883, _223885] : [-(a_select3(tptp_madd(_220969, tptp_mmul(_220967, tptp_mmul(tptp_madd(tptp_mmul(_220965, tptp_mmul(_220963, trans(_220965))), tptp_mmul(_220961, tptp_mmul(_220959, trans(_220961)))), trans(_220967)))), _223885, _223883) = a_select3(tptp_madd(_220969, tptp_mmul(_220967, tptp_mmul(tptp_madd(tptp_mmul(_220965, tptp_mmul(_220963, trans(_220965))), tptp_mmul(_220961, tptp_mmul(_220959, trans(_220961)))), trans(_220967)))), _223883, _223885)), leq(n0, _223885), leq(_223885, _220957), leq(n0, _223883), leq(_223883, _220957)]]], (730 ^ _195071) ^ [_224636] : [-(sum(n0, tptp_minus_1, _224636) = n0)], (732 ^ _195071) ^ [_224718] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _224718))], (734 ^ _195071) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _195071) ^ [_224853] : [-(plus(_224853, n1) = succ(_224853))], (738 ^ _195071) ^ [_224936] : [-(plus(n1, _224936) = succ(_224936))], (740 ^ _195071) ^ [_225019] : [-(plus(_225019, n2) = succ(succ(_225019)))], (742 ^ _195071) ^ [_225104] : [-(plus(n2, _225104) = succ(succ(_225104)))], (744 ^ _195071) ^ [_225189] : [-(plus(_225189, n3) = succ(succ(succ(_225189))))], (746 ^ _195071) ^ [_225276] : [-(plus(n3, _225276) = succ(succ(succ(_225276))))], (748 ^ _195071) ^ [_225363] : [-(plus(_225363, n4) = succ(succ(succ(succ(_225363)))))], (750 ^ _195071) ^ [_225452] : [-(plus(n4, _225452) = succ(succ(succ(succ(_225452)))))], (752 ^ _195071) ^ [_225541] : [-(plus(_225541, n5) = succ(succ(succ(succ(succ(_225541))))))], (754 ^ _195071) ^ [_225632] : [-(plus(n5, _225632) = succ(succ(succ(succ(succ(_225632))))))], (756 ^ _195071) ^ [_225723] : [-(minus(_225723, n1) = pred(_225723))], (758 ^ _195071) ^ [_225806] : [-(pred(succ(_225806)) = _225806)], (760 ^ _195071) ^ [_225888] : [-(succ(pred(_225888)) = _225888)], (762 ^ _195071) ^ [_226028, _226030] : [leq(succ(_226030), succ(_226028)), -(leq(_226030, _226028))], (768 ^ _195071) ^ [_226198, _226200] : [leq(_226200, _226198), -(leq(succ(_226200), succ(_226198)))], (774 ^ _195071) ^ [_226418, _226420] : [leq(succ(_226420), _226418), -(gt(_226418, _226420))], (780 ^ _195071) ^ [_226632, _226634] : [leq(minus(_226634, _226632), _226634), -(leq(n0, _226632))], (786 ^ _195071) ^ [_226861, _226863, _226865, _226867] : [-(a_select3(tptp_update3(_226867, _226865, _226863, _226861), _226865, _226863) = _226861)], (788 ^ _195071) ^ [_227053, _227055, _227057, _227059, _227061, _227063, _227065] : [-(a_select3(tptp_update3(_227057, _227065, _227063, _227053), _227061, _227059) = _227055), -(_227065 = _227061), _227063 = _227059, a_select3(_227057, _227061, _227059) = _227055], (802 ^ _195071) ^ [_227596, _227598, _227600, _227602, _227604, _227606] : [-(a_select3(tptp_update3(_227598, _227602, _227600, _227596), _227606, _227604) = _227596), 807 ^ _195071 : [(808 ^ _195071) ^ [] : [-(leq(n0, 805 ^ [_227596, _227598, _227600, _227602, _227604, _227606]))], (810 ^ _195071) ^ [] : [-(leq(n0, 806 ^ [_227596, _227598, _227600, _227602, _227604, _227606]))], (812 ^ _195071) ^ [] : [-(leq(805 ^ [_227596, _227598, _227600, _227602, _227604, _227606], _227602))], (814 ^ _195071) ^ [] : [-(leq(806 ^ [_227596, _227598, _227600, _227602, _227604, _227606], _227600))], (816 ^ _195071) ^ [] : [a_select3(_227598, 805 ^ [_227596, _227598, _227600, _227602, _227604, _227606], 806 ^ [_227596, _227598, _227600, _227602, _227604, _227606]) = _227596]], leq(n0, _227606), leq(_227606, _227602), leq(n0, _227604), leq(_227604, _227600)], (834 ^ _195071) ^ [_228938, _228940, _228942] : [-(a_select2(tptp_update2(_228942, _228940, _228938), _228940) = _228938)], (836 ^ _195071) ^ [_229098, _229100, _229102, _229104, _229106] : [-(a_select2(tptp_update2(_229102, _229106, _229098), _229104) = _229100), -(_229106 = _229104), a_select2(_229102, _229104) = _229100], (865 ^ _195071) ^ [] : [-(true)], (867 ^ _195071) ^ [] : [def = use], (846 ^ _195071) ^ [_229478, _229480, _229482, _229484] : [-(a_select2(tptp_update2(_229480, _229482, _229478), _229484) = _229478), 850 ^ _195071 : [(851 ^ _195071) ^ [] : [-(leq(n0, 849 ^ [_229478, _229480, _229482, _229484]))], (853 ^ _195071) ^ [] : [-(leq(849 ^ [_229478, _229480, _229482, _229484], _229482))], (855 ^ _195071) ^ [] : [a_select2(_229480, 849 ^ [_229478, _229480, _229482, _229484]) = _229478]], leq(n0, _229484), leq(_229484, _229482)]], input).
% 0.34/1.38  ncf('1',plain,[leq(n0, pv66), leq(pv66, minus(n5, n1))],start(1045 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(leq(n0, pv66))],extension(1041 ^ 1)).
% 0.34/1.38  ncf('1.2',plain,[-(leq(pv66, minus(n5, n1)))],extension(1043 ^ 1)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------