%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV061+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 12:19:51 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV061+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:14:31 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(1041 ^ _194974) ^ [] : [-(true)], (1043 ^ _194974) ^ [] : [1044 ^ _194974 : [(1045 ^ _194974) ^ [] : [gt(loopcounter, n1)], (1047 ^ _194974) ^ [] : [true]], 1048 ^ _194974 : [(1049 ^ _194974) ^ [] : [-(gt(loopcounter, n1))], (1051 ^ _194974) ^ [] : [true]]], (2 ^ _194974) ^ [_195118] : [-(_195118 = _195118)], (4 ^ _194974) ^ [_195225, _195227] : [_195227 = _195225, -(_195225 = _195227)], (10 ^ _194974) ^ [_195429, _195431, _195433] : [-(_195433 = _195429), _195433 = _195431, _195431 = _195429], (20 ^ _194974) ^ [_195770, _195772, _195774, _195776] : [-(lt(_195774, _195770)), lt(_195776, _195772), _195776 = _195774, _195772 = _195770], (34 ^ _194974) ^ [_196214, _196216, _196218, _196220] : [-(geq(_196218, _196214)), geq(_196220, _196216), _196220 = _196218, _196216 = _196214], (48 ^ _194974) ^ [_196658, _196660, _196662, _196664] : [-(leq(_196662, _196658)), leq(_196664, _196660), _196664 = _196662, _196660 = _196658], (62 ^ _194974) ^ [_197082, _197084, _197086, _197088] : [-(gt(_197086, _197082)), gt(_197088, _197084), _197088 = _197086, _197084 = _197082], (76 ^ _194974) ^ [_197538, _197540, _197542, _197544] : [-(uniform_int_rnd(_197544, _197540) = uniform_int_rnd(_197542, _197538)), _197544 = _197542, _197540 = _197538], (86 ^ _194974) ^ [_197897, _197899, _197901, _197903] : [-(tptp_const_array1(_197903, _197899) = tptp_const_array1(_197901, _197897)), _197903 = _197901, _197899 = _197897], (96 ^ _194974) ^ [_198284, _198286, _198288, _198290, _198292, _198294] : [-(tptp_const_array2(_198294, _198290, _198286) = tptp_const_array2(_198292, _198288, _198284)), _198294 = _198292, _198290 = _198288, _198286 = _198284], (110 ^ _194974) ^ [_198772, _198774, _198776, _198778] : [-(dim(_198778, _198774) = dim(_198776, _198772)), _198778 = _198776, _198774 = _198772], (120 ^ _194974) ^ [_199103, _199105] : [_199105 = _199103, -(inv(_199105) = inv(_199103))], (126 ^ _194974) ^ [_199349, _199351, _199353, _199355] : [-(tptp_msub(_199355, _199351) = tptp_msub(_199353, _199349)), _199355 = _199353, _199351 = _199349], (136 ^ _194974) ^ [_199708, _199710, _199712, _199714] : [-(tptp_madd(_199714, _199710) = tptp_madd(_199712, _199708)), _199714 = _199712, _199710 = _199708], (146 ^ _194974) ^ [_200067, _200069, _200071, _200073] : [-(tptp_mmul(_200073, _200069) = tptp_mmul(_200071, _200067)), _200073 = _200071, _200069 = _200067], (156 ^ _194974) ^ [_200398, _200400] : [_200400 = _200398, -(trans(_200400) = trans(_200398))], (162 ^ _194974) ^ [_200672, _200674, _200676, _200678, _200680, _200682] : [-(sum(_200682, _200678, _200674) = sum(_200680, _200676, _200672)), _200682 = _200680, _200678 = _200676, _200674 = _200672], (176 ^ _194974) ^ [_201160, _201162, _201164, _201166] : [-(plus(_201166, _201162) = plus(_201164, _201160)), _201166 = _201164, _201162 = _201160], (186 ^ _194974) ^ [_201491, _201493] : [_201493 = _201491, -(pred(_201493) = pred(_201491))], (192 ^ _194974) ^ [_201737, _201739, _201741, _201743] : [-(minus(_201743, _201739) = minus(_201741, _201737)), _201743 = _201741, _201739 = _201737], (202 ^ _194974) ^ [_202124, _202126, _202128, _202130, _202132, _202134] : [-(a_select3(_202134, _202130, _202126) = a_select3(_202132, _202128, _202124)), _202134 = _202132, _202130 = _202128, _202126 = _202124], (216 ^ _194974) ^ [_202668, _202670, _202672, _202674, _202676, _202678, _202680, _202682] : [-(tptp_update3(_202682, _202678, _202674, _202670) = tptp_update3(_202680, _202676, _202672, _202668)), _202682 = _202680, _202678 = _202676, _202674 = _202672, _202670 = _202668], (234 ^ _194974) ^ [_203301, _203303, _203305, _203307] : [-(a_select2(_203307, _203303) = a_select2(_203305, _203301)), _203307 = _203305, _203303 = _203301], (258 ^ _194974) ^ [_204128, _204130] : [_204130 = _204128, -(succ(_204130) = succ(_204128))], (244 ^ _194974) ^ [_203688, _203690, _203692, _203694, _203696, _203698] : [-(tptp_update2(_203698, _203694, _203690) = tptp_update2(_203696, _203692, _203688)), _203698 = _203696, _203694 = _203692, _203690 = _203688], (869 ^ _194974) ^ [] : [-(gt(n5, n4))], (871 ^ _194974) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _194974) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _194974) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _194974) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _194974) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _194974) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _194974) ^ [] : [-(gt(n4, n0))], (885 ^ _194974) ^ [] : [-(gt(n5, n0))], (887 ^ _194974) ^ [] : [-(gt(n1, n0))], (889 ^ _194974) ^ [] : [-(gt(n2, n0))], (891 ^ _194974) ^ [] : [-(gt(n3, n0))], (893 ^ _194974) ^ [] : [-(gt(n4, n1))], (895 ^ _194974) ^ [] : [-(gt(n5, n1))], (897 ^ _194974) ^ [] : [-(gt(n2, n1))], (899 ^ _194974) ^ [] : [-(gt(n3, n1))], (901 ^ _194974) ^ [] : [-(gt(n4, n2))], (903 ^ _194974) ^ [] : [-(gt(n5, n2))], (905 ^ _194974) ^ [] : [-(gt(n3, n2))], (907 ^ _194974) ^ [] : [-(gt(n4, n3))], (909 ^ _194974) ^ [] : [-(gt(n5, n3))], (911 ^ _194974) ^ [_231484] : [leq(n0, _231484), leq(_231484, n4), -(_231484 = n0), -(_231484 = n1), -(_231484 = n2), -(_231484 = n3), -(_231484 = n4)], (937 ^ _194974) ^ [_232105] : [leq(n0, _232105), leq(_232105, n5), -(_232105 = n0), -(_232105 = n1), -(_232105 = n2), -(_232105 = n3), -(_232105 = n4), -(_232105 = n5)], (967 ^ _194974) ^ [_232812] : [-(_232812 = n0), leq(n0, _232812), leq(_232812, n0)], (977 ^ _194974) ^ [_233087] : [leq(n0, _233087), leq(_233087, n1), -(_233087 = n0), -(_233087 = n1)], (991 ^ _194974) ^ [_233450] : [leq(n0, _233450), leq(_233450, n2), -(_233450 = n0), -(_233450 = n1), -(_233450 = n2)], (1031 ^ _194974) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _194974) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _194974) ^ [] : [-(succ(n0) = n1)], (1037 ^ _194974) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _194974) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _194974) ^ [_233899] : [leq(n0, _233899), leq(_233899, n3), -(_233899 = n0), -(_233899 = n1), -(_233899 = n2), -(_233899 = n3)], (264 ^ _194974) ^ [_204446, _204448] : [-(gt(_204448, _204446)), -(gt(_204446, _204448)), -(_204448 = _204446)], (274 ^ _194974) ^ [_204761, _204763, _204765] : [-(gt(_204765, _204761)), gt(_204765, _204763), gt(_204763, _204761)], (284 ^ _194974) ^ [_205040] : [gt(_205040, _205040)], (286 ^ _194974) ^ [_205118] : [-(leq(_205118, _205118))], (288 ^ _194974) ^ [_205239, _205241, _205243] : [-(leq(_205243, _205239)), leq(_205243, _205241), leq(_205241, _205239)], (298 ^ _194974) ^ [_205577, _205579] : [lt(_205579, _205577), -(gt(_205577, _205579))], (304 ^ _194974) ^ [_205739, _205741] : [gt(_205739, _205741), -(lt(_205741, _205739))], (310 ^ _194974) ^ [_205980, _205982] : [geq(_205982, _205980), -(leq(_205980, _205982))], (316 ^ _194974) ^ [_206142, _206144] : [leq(_206142, _206144), -(geq(_206144, _206142))], (322 ^ _194974) ^ [_206354, _206356] : [gt(_206354, _206356), -(leq(_206356, _206354))], (328 ^ _194974) ^ [_206564, _206566] : [-(gt(_206564, _206566)), leq(_206566, _206564), -(_206566 = _206564)], (338 ^ _194974) ^ [_206895, _206897] : [leq(_206897, pred(_206895)), -(gt(_206895, _206897))], (344 ^ _194974) ^ [_207061, _207063] : [gt(_207061, _207063), -(leq(_207063, pred(_207061)))], (350 ^ _194974) ^ [_207248] : [-(gt(succ(_207248), _207248))], (352 ^ _194974) ^ [_207357, _207359] : [leq(_207359, _207357), -(leq(_207359, succ(_207357)))], (358 ^ _194974) ^ [_207600, _207602] : [leq(_207602, _207600), -(gt(succ(_207600), _207602))], (364 ^ _194974) ^ [_207766, _207768] : [gt(succ(_207766), _207768), -(leq(_207768, _207766))], (370 ^ _194974) ^ [_207982, _207984] : [leq(n0, _207984), -(leq(uniform_int_rnd(_207982, _207984), _207984))], (376 ^ _194974) ^ [_208198, _208200] : [leq(n0, _208200), -(leq(n0, uniform_int_rnd(_208198, _208200)))], (382 ^ _194974) ^ [_208442, _208444, _208446, _208448] : [-(a_select2(tptp_const_array1(dim(_208446, _208444), _208442), _208448) = _208442), leq(_208446, _208448), leq(_208448, _208444)], (392 ^ _194974) ^ [_208849, _208851, _208853, _208855, _208857, _208859, _208861] : [-(a_select3(tptp_const_array2(dim(_208859, _208857), dim(_208853, _208851), _208849), _208861, _208855) = _208849), leq(_208859, _208861), leq(_208861, _208857), leq(_208853, _208855), leq(_208855, _208851)], (410 ^ _194974) ^ [_209444, _209446] : [413 ^ _194974 : [(414 ^ _194974) ^ [] : [-(leq(n0, 411 ^ [_209444, _209446]))], (416 ^ _194974) ^ [] : [-(leq(411 ^ [_209444, _209446], _209444))], (418 ^ _194974) ^ [] : [-(leq(n0, 412 ^ [_209444, _209446]))], (420 ^ _194974) ^ [] : [-(leq(412 ^ [_209444, _209446], _209444))], (422 ^ _194974) ^ [] : [a_select3(_209446, 411 ^ [_209444, _209446], 412 ^ [_209444, _209446]) = a_select3(_209446, 412 ^ [_209444, _209446], 411 ^ [_209444, _209446])]], 423 ^ _194974 : [(424 ^ _194974) ^ [_210201, _210203] : [-(a_select3(trans(_209446), _210203, _210201) = a_select3(trans(_209446), _210201, _210203)), leq(n0, _210203), leq(_210203, _209444), leq(n0, _210201), leq(_210201, _209444)]]], (442 ^ _194974) ^ [_210748, _210750] : [445 ^ _194974 : [(446 ^ _194974) ^ [] : [-(leq(n0, 443 ^ [_210748, _210750]))], (448 ^ _194974) ^ [] : [-(leq(443 ^ [_210748, _210750], _210748))], (450 ^ _194974) ^ [] : [-(leq(n0, 444 ^ [_210748, _210750]))], (452 ^ _194974) ^ [] : [-(leq(444 ^ [_210748, _210750], _210748))], (454 ^ _194974) ^ [] : [a_select3(_210750, 443 ^ [_210748, _210750], 444 ^ [_210748, _210750]) = a_select3(_210750, 444 ^ [_210748, _210750], 443 ^ [_210748, _210750])]], 455 ^ _194974 : [(456 ^ _194974) ^ [_211505, _211507] : [-(a_select3(inv(_210750), _211507, _211505) = a_select3(inv(_210750), _211505, _211507)), leq(n0, _211507), leq(_211507, _210748), leq(n0, _211505), leq(_211505, _210748)]]], (474 ^ _194974) ^ [_212052, _212054] : [477 ^ _194974 : [(478 ^ _194974) ^ [] : [-(leq(n0, 475 ^ [_212052, _212054]))], (480 ^ _194974) ^ [] : [-(leq(475 ^ [_212052, _212054], _212052))], (482 ^ _194974) ^ [] : [-(leq(n0, 476 ^ [_212052, _212054]))], (484 ^ _194974) ^ [] : [-(leq(476 ^ [_212052, _212054], _212052))], (486 ^ _194974) ^ [] : [a_select3(_212054, 475 ^ [_212052, _212054], 476 ^ [_212052, _212054]) = a_select3(_212054, 476 ^ [_212052, _212054], 475 ^ [_212052, _212054])]], 487 ^ _194974 : [(488 ^ _194974) ^ [_212865, _212867, _212869, _212871] : [-(a_select3(tptp_update3(_212054, _212867, _212867, _212865), _212871, _212869) = a_select3(tptp_update3(_212054, _212867, _212867, _212865), _212869, _212871)), leq(n0, _212871), leq(_212871, _212052), leq(n0, _212869), leq(_212869, _212052), leq(n0, _212867), leq(_212867, _212052)]]], (514 ^ _194974) ^ [_213684, _213686, _213688] : [519 ^ _194974 : [(520 ^ _194974) ^ [] : [-(leq(n0, 517 ^ [_213684, _213686, _213688]))], (522 ^ _194974) ^ [] : [-(leq(517 ^ [_213684, _213686, _213688], _213684))], (524 ^ _194974) ^ [] : [-(leq(n0, 518 ^ [_213684, _213686, _213688]))], (526 ^ _194974) ^ [] : [-(leq(518 ^ [_213684, _213686, _213688], _213684))], (528 ^ _194974) ^ [] : [a_select3(_213688, 517 ^ [_213684, _213686, _213688], 518 ^ [_213684, _213686, _213688]) = a_select3(_213688, 518 ^ [_213684, _213686, _213688], 517 ^ [_213684, _213686, _213688])]], 531 ^ _194974 : [(532 ^ _194974) ^ [] : [-(leq(n0, 529 ^ [_213684, _213686, _213688]))], (534 ^ _194974) ^ [] : [-(leq(529 ^ [_213684, _213686, _213688], _213684))], (536 ^ _194974) ^ [] : [-(leq(n0, 530 ^ [_213684, _213686, _213688]))], (538 ^ _194974) ^ [] : [-(leq(530 ^ [_213684, _213686, _213688], _213684))], (540 ^ _194974) ^ [] : [a_select3(_213686, 529 ^ [_213684, _213686, _213688], 530 ^ [_213684, _213686, _213688]) = a_select3(_213686, 530 ^ [_213684, _213686, _213688], 529 ^ [_213684, _213686, _213688])]], 541 ^ _194974 : [(542 ^ _194974) ^ [_215193, _215195] : [-(a_select3(tptp_madd(_213688, _213686), _215195, _215193) = a_select3(tptp_madd(_213688, _213686), _215193, _215195)), leq(n0, _215195), leq(_215195, _213684), leq(n0, _215193), leq(_215193, _213684)]]], (560 ^ _194974) ^ [_215779, _215781, _215783] : [565 ^ _194974 : [(566 ^ _194974) ^ [] : [-(leq(n0, 563 ^ [_215779, _215781, _215783]))], (568 ^ _194974) ^ [] : [-(leq(563 ^ [_215779, _215781, _215783], _215779))], (570 ^ _194974) ^ [] : [-(leq(n0, 564 ^ [_215779, _215781, _215783]))], (572 ^ _194974) ^ [] : [-(leq(564 ^ [_215779, _215781, _215783], _215779))], (574 ^ _194974) ^ [] : [a_select3(_215783, 563 ^ [_215779, _215781, _215783], 564 ^ [_215779, _215781, _215783]) = a_select3(_215783, 564 ^ [_215779, _215781, _215783], 563 ^ [_215779, _215781, _215783])]], 577 ^ _194974 : [(578 ^ _194974) ^ [] : [-(leq(n0, 575 ^ [_215779, _215781, _215783]))], (580 ^ _194974) ^ [] : [-(leq(575 ^ [_215779, _215781, _215783], _215779))], (582 ^ _194974) ^ [] : [-(leq(n0, 576 ^ [_215779, _215781, _215783]))], (584 ^ _194974) ^ [] : [-(leq(576 ^ [_215779, _215781, _215783], _215779))], (586 ^ _194974) ^ [] : [a_select3(_215781, 575 ^ [_215779, _215781, _215783], 576 ^ [_215779, _215781, _215783]) = a_select3(_215781, 576 ^ [_215779, _215781, _215783], 575 ^ [_215779, _215781, _215783])]], 587 ^ _194974 : [(588 ^ _194974) ^ [_217288, _217290] : [-(a_select3(tptp_msub(_215783, _215781), _217290, _217288) = a_select3(tptp_msub(_215783, _215781), _217288, _217290)), leq(n0, _217290), leq(_217290, _215779), leq(n0, _217288), leq(_217288, _215779)]]], (606 ^ _194974) ^ [_217874, _217876, _217878] : [609 ^ _194974 : [(610 ^ _194974) ^ [] : [-(leq(n0, 607 ^ [_217874, _217876, _217878]))], (612 ^ _194974) ^ [] : [-(leq(607 ^ [_217874, _217876, _217878], _217874))], (614 ^ _194974) ^ [] : [-(leq(n0, 608 ^ [_217874, _217876, _217878]))], (616 ^ _194974) ^ [] : [-(leq(608 ^ [_217874, _217876, _217878], _217874))], (618 ^ _194974) ^ [] : [a_select3(_217876, 607 ^ [_217874, _217876, _217878], 608 ^ [_217874, _217876, _217878]) = a_select3(_217876, 608 ^ [_217874, _217876, _217878], 607 ^ [_217874, _217876, _217878])]], 619 ^ _194974 : [(620 ^ _194974) ^ [_218687, _218689] : [-(a_select3(tptp_mmul(_217878, tptp_mmul(_217876, trans(_217878))), _218689, _218687) = a_select3(tptp_mmul(_217878, tptp_mmul(_217876, trans(_217878))), _218687, _218689)), leq(n0, _218689), leq(_218689, _217874), leq(n0, _218687), leq(_218687, _217874)]]], (638 ^ _194974) ^ [_219306, _219308, _219310, _219312] : [641 ^ _194974 : [(642 ^ _194974) ^ [] : [-(leq(n0, 639 ^ [_219306, _219308, _219310, _219312]))], (644 ^ _194974) ^ [] : [-(leq(639 ^ [_219306, _219308, _219310, _219312], _219306))], (646 ^ _194974) ^ [] : [-(leq(n0, 640 ^ [_219306, _219308, _219310, _219312]))], (648 ^ _194974) ^ [] : [-(leq(640 ^ [_219306, _219308, _219310, _219312], _219306))], (650 ^ _194974) ^ [] : [a_select3(_219310, 639 ^ [_219306, _219308, _219310, _219312], 640 ^ [_219306, _219308, _219310, _219312]) = a_select3(_219310, 640 ^ [_219306, _219308, _219310, _219312], 639 ^ [_219306, _219308, _219310, _219312])]], 651 ^ _194974 : [(652 ^ _194974) ^ [_220163, _220165] : [-(a_select3(tptp_mmul(_219312, tptp_mmul(_219310, trans(_219312))), _220165, _220163) = a_select3(tptp_mmul(_219312, tptp_mmul(_219310, trans(_219312))), _220163, _220165)), leq(n0, _220165), leq(_220165, _219308), leq(n0, _220163), leq(_220163, _219308)]]], (670 ^ _194974) ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872] : [675 ^ _194974 : [(676 ^ _194974) ^ [] : [-(leq(n0, 673 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (678 ^ _194974) ^ [] : [-(leq(673 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220858))], (680 ^ _194974) ^ [] : [-(leq(n0, 674 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (682 ^ _194974) ^ [] : [-(leq(674 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220858))], (684 ^ _194974) ^ [] : [a_select3(_220866, 673 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 674 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]) = a_select3(_220866, 674 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 673 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872])]], 689 ^ _194974 : [(690 ^ _194974) ^ [] : [-(leq(n0, 687 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (692 ^ _194974) ^ [] : [-(leq(687 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220860))], (694 ^ _194974) ^ [] : [-(leq(n0, 688 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (696 ^ _194974) ^ [] : [-(leq(688 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220860))], (698 ^ _194974) ^ [] : [a_select3(_220872, 687 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 688 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]) = a_select3(_220872, 688 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 687 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872])]], 701 ^ _194974 : [(702 ^ _194974) ^ [] : [-(leq(n0, 699 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (704 ^ _194974) ^ [] : [-(leq(699 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220860))], (706 ^ _194974) ^ [] : [-(leq(n0, 700 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]))], (708 ^ _194974) ^ [] : [-(leq(700 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], _220860))], (710 ^ _194974) ^ [] : [a_select3(_220862, 699 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 700 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872]) = a_select3(_220862, 700 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872], 699 ^ [_220858, _220860, _220862, _220864, _220866, _220868, _220870, _220872])]], 711 ^ _194974 : [(712 ^ _194974) ^ [_223786, _223788] : [-(a_select3(tptp_madd(_220872, tptp_mmul(_220870, tptp_mmul(tptp_madd(tptp_mmul(_220868, tptp_mmul(_220866, trans(_220868))), tptp_mmul(_220864, tptp_mmul(_220862, trans(_220864)))), trans(_220870)))), _223788, _223786) = a_select3(tptp_madd(_220872, tptp_mmul(_220870, tptp_mmul(tptp_madd(tptp_mmul(_220868, tptp_mmul(_220866, trans(_220868))), tptp_mmul(_220864, tptp_mmul(_220862, trans(_220864)))), trans(_220870)))), _223786, _223788)), leq(n0, _223788), leq(_223788, _220860), leq(n0, _223786), leq(_223786, _220860)]]], (730 ^ _194974) ^ [_224539] : [-(sum(n0, tptp_minus_1, _224539) = n0)], (732 ^ _194974) ^ [_224621] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _224621))], (734 ^ _194974) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _194974) ^ [_224756] : [-(plus(_224756, n1) = succ(_224756))], (738 ^ _194974) ^ [_224839] : [-(plus(n1, _224839) = succ(_224839))], (740 ^ _194974) ^ [_224922] : [-(plus(_224922, n2) = succ(succ(_224922)))], (742 ^ _194974) ^ [_225007] : [-(plus(n2, _225007) = succ(succ(_225007)))], (744 ^ _194974) ^ [_225092] : [-(plus(_225092, n3) = succ(succ(succ(_225092))))], (746 ^ _194974) ^ [_225179] : [-(plus(n3, _225179) = succ(succ(succ(_225179))))], (748 ^ _194974) ^ [_225266] : [-(plus(_225266, n4) = succ(succ(succ(succ(_225266)))))], (750 ^ _194974) ^ [_225355] : [-(plus(n4, _225355) = succ(succ(succ(succ(_225355)))))], (752 ^ _194974) ^ [_225444] : [-(plus(_225444, n5) = succ(succ(succ(succ(succ(_225444))))))], (754 ^ _194974) ^ [_225535] : [-(plus(n5, _225535) = succ(succ(succ(succ(succ(_225535))))))], (756 ^ _194974) ^ [_225626] : [-(minus(_225626, n1) = pred(_225626))], (758 ^ _194974) ^ [_225709] : [-(pred(succ(_225709)) = _225709)], (760 ^ _194974) ^ [_225791] : [-(succ(pred(_225791)) = _225791)], (762 ^ _194974) ^ [_225931, _225933] : [leq(succ(_225933), succ(_225931)), -(leq(_225933, _225931))], (768 ^ _194974) ^ [_226101, _226103] : [leq(_226103, _226101), -(leq(succ(_226103), succ(_226101)))], (774 ^ _194974) ^ [_226321, _226323] : [leq(succ(_226323), _226321), -(gt(_226321, _226323))], (780 ^ _194974) ^ [_226535, _226537] : [leq(minus(_226537, _226535), _226537), -(leq(n0, _226535))], (786 ^ _194974) ^ [_226764, _226766, _226768, _226770] : [-(a_select3(tptp_update3(_226770, _226768, _226766, _226764), _226768, _226766) = _226764)], (788 ^ _194974) ^ [_226956, _226958, _226960, _226962, _226964, _226966, _226968] : [-(a_select3(tptp_update3(_226960, _226968, _226966, _226956), _226964, _226962) = _226958), -(_226968 = _226964), _226966 = _226962, a_select3(_226960, _226964, _226962) = _226958], (802 ^ _194974) ^ [_227499, _227501, _227503, _227505, _227507, _227509] : [-(a_select3(tptp_update3(_227501, _227505, _227503, _227499), _227509, _227507) = _227499), 807 ^ _194974 : [(808 ^ _194974) ^ [] : [-(leq(n0, 805 ^ [_227499, _227501, _227503, _227505, _227507, _227509]))], (810 ^ _194974) ^ [] : [-(leq(n0, 806 ^ [_227499, _227501, _227503, _227505, _227507, _227509]))], (812 ^ _194974) ^ [] : [-(leq(805 ^ [_227499, _227501, _227503, _227505, _227507, _227509], _227505))], (814 ^ _194974) ^ [] : [-(leq(806 ^ [_227499, _227501, _227503, _227505, _227507, _227509], _227503))], (816 ^ _194974) ^ [] : [a_select3(_227501, 805 ^ [_227499, _227501, _227503, _227505, _227507, _227509], 806 ^ [_227499, _227501, _227503, _227505, _227507, _227509]) = _227499]], leq(n0, _227509), leq(_227509, _227505), leq(n0, _227507), leq(_227507, _227503)], (834 ^ _194974) ^ [_228841, _228843, _228845] : [-(a_select2(tptp_update2(_228845, _228843, _228841), _228843) = _228841)], (836 ^ _194974) ^ [_229001, _229003, _229005, _229007, _229009] : [-(a_select2(tptp_update2(_229005, _229009, _229001), _229007) = _229003), -(_229009 = _229007), a_select2(_229005, _229007) = _229003], (865 ^ _194974) ^ [] : [-(true)], (867 ^ _194974) ^ [] : [def = use], (846 ^ _194974) ^ [_229381, _229383, _229385, _229387] : [-(a_select2(tptp_update2(_229383, _229385, _229381), _229387) = _229381), 850 ^ _194974 : [(851 ^ _194974) ^ [] : [-(leq(n0, 849 ^ [_229381, _229383, _229385, _229387]))], (853 ^ _194974) ^ [] : [-(leq(849 ^ [_229381, _229383, _229385, _229387], _229385))], (855 ^ _194974) ^ [] : [a_select2(_229383, 849 ^ [_229381, _229383, _229385, _229387]) = _229381]], leq(n0, _229387), leq(_229387, _229385)]], input).
% 0.34/1.37  ncf('1',plain,[1047 : true, 1051 : true],start(1043 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(true)],extension(1041 ^ 3)).
% 0.34/1.37  ncf('1.2',plain,[-(true)],extension(1041 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------