%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:20:04 EDT 2023

% Result   : Theorem 17.11s 16.86s
% Output   : Proof 17.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 02:28:53 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 17.11/16.86  
% 17.11/16.86  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 17.11/16.86  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.11/16.86  %-----------------------------------------------------
% 17.11/16.86  ncf(matrix, plain, [(1042 ^ _196999) ^ [] : [-(leq(n0, 1040 ^ []))], (1044 ^ _196999) ^ [] : [-(leq(1040 ^ [], tptp_minus_1))], (1046 ^ _196999) ^ [] : [sum(n0, n4, a_select3(q, 1040 ^ [], tptp_sum_index)) = n1], (2 ^ _196999) ^ [_197143] : [-(_197143 = _197143)], (4 ^ _196999) ^ [_197250, _197252] : [_197252 = _197250, -(_197250 = _197252)], (10 ^ _196999) ^ [_197454, _197456, _197458] : [-(_197458 = _197454), _197458 = _197456, _197456 = _197454], (20 ^ _196999) ^ [_197795, _197797, _197799, _197801] : [-(lt(_197799, _197795)), lt(_197801, _197797), _197801 = _197799, _197797 = _197795], (34 ^ _196999) ^ [_198239, _198241, _198243, _198245] : [-(geq(_198243, _198239)), geq(_198245, _198241), _198245 = _198243, _198241 = _198239], (48 ^ _196999) ^ [_198683, _198685, _198687, _198689] : [-(gt(_198687, _198683)), gt(_198689, _198685), _198689 = _198687, _198685 = _198683], (62 ^ _196999) ^ [_199107, _199109, _199111, _199113] : [-(leq(_199111, _199107)), leq(_199113, _199109), _199113 = _199111, _199109 = _199107], (76 ^ _196999) ^ [_199563, _199565, _199567, _199569] : [-(uniform_int_rnd(_199569, _199565) = uniform_int_rnd(_199567, _199563)), _199569 = _199567, _199565 = _199563], (86 ^ _196999) ^ [_199922, _199924, _199926, _199928] : [-(tptp_const_array1(_199928, _199924) = tptp_const_array1(_199926, _199922)), _199928 = _199926, _199924 = _199922], (96 ^ _196999) ^ [_200309, _200311, _200313, _200315, _200317, _200319] : [-(tptp_const_array2(_200319, _200315, _200311) = tptp_const_array2(_200317, _200313, _200309)), _200319 = _200317, _200315 = _200313, _200311 = _200309], (110 ^ _196999) ^ [_200797, _200799, _200801, _200803] : [-(dim(_200803, _200799) = dim(_200801, _200797)), _200803 = _200801, _200799 = _200797], (120 ^ _196999) ^ [_201128, _201130] : [_201130 = _201128, -(inv(_201130) = inv(_201128))], (126 ^ _196999) ^ [_201374, _201376, _201378, _201380] : [-(tptp_msub(_201380, _201376) = tptp_msub(_201378, _201374)), _201380 = _201378, _201376 = _201374], (136 ^ _196999) ^ [_201733, _201735, _201737, _201739] : [-(tptp_madd(_201739, _201735) = tptp_madd(_201737, _201733)), _201739 = _201737, _201735 = _201733], (146 ^ _196999) ^ [_202092, _202094, _202096, _202098] : [-(tptp_mmul(_202098, _202094) = tptp_mmul(_202096, _202092)), _202098 = _202096, _202094 = _202092], (156 ^ _196999) ^ [_202423, _202425] : [_202425 = _202423, -(trans(_202425) = trans(_202423))], (162 ^ _196999) ^ [_202669, _202671, _202673, _202675] : [-(plus(_202675, _202671) = plus(_202673, _202669)), _202675 = _202673, _202671 = _202669], (172 ^ _196999) ^ [_203000, _203002] : [_203002 = _203000, -(pred(_203002) = pred(_203000))], (178 ^ _196999) ^ [_203246, _203248, _203250, _203252] : [-(minus(_203252, _203248) = minus(_203250, _203246)), _203252 = _203250, _203248 = _203246], (188 ^ _196999) ^ [_203661, _203663, _203665, _203667, _203669, _203671, _203673, _203675] : [-(tptp_update3(_203675, _203671, _203667, _203663) = tptp_update3(_203673, _203669, _203665, _203661)), _203675 = _203673, _203671 = _203669, _203667 = _203665, _203663 = _203661], (206 ^ _196999) ^ [_204294, _204296, _204298, _204300] : [-(a_select2(_204300, _204296) = a_select2(_204298, _204294)), _204300 = _204298, _204296 = _204294], (216 ^ _196999) ^ [_204681, _204683, _204685, _204687, _204689, _204691] : [-(tptp_update2(_204691, _204687, _204683) = tptp_update2(_204689, _204685, _204681)), _204691 = _204689, _204687 = _204685, _204683 = _204681], (230 ^ _196999) ^ [_205141, _205143] : [_205143 = _205141, -(succ(_205143) = succ(_205141))], (236 ^ _196999) ^ [_205415, _205417, _205419, _205421, _205423, _205425] : [-(sum(_205425, _205421, _205417) = sum(_205423, _205419, _205415)), _205425 = _205423, _205421 = _205419, _205417 = _205415], (250 ^ _196999) ^ [_205911, _205913, _205915, _205917, _205919, _205921] : [-(a_select3(_205921, _205917, _205913) = a_select3(_205919, _205915, _205911)), _205921 = _205919, _205917 = _205915, _205913 = _205911], (869 ^ _196999) ^ [] : [-(gt(n5, n4))], (871 ^ _196999) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _196999) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _196999) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _196999) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _196999) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _196999) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _196999) ^ [] : [-(gt(n4, n0))], (885 ^ _196999) ^ [] : [-(gt(n5, n0))], (887 ^ _196999) ^ [] : [-(gt(n1, n0))], (889 ^ _196999) ^ [] : [-(gt(n2, n0))], (891 ^ _196999) ^ [] : [-(gt(n3, n0))], (893 ^ _196999) ^ [] : [-(gt(n4, n1))], (895 ^ _196999) ^ [] : [-(gt(n5, n1))], (897 ^ _196999) ^ [] : [-(gt(n2, n1))], (899 ^ _196999) ^ [] : [-(gt(n3, n1))], (901 ^ _196999) ^ [] : [-(gt(n4, n2))], (903 ^ _196999) ^ [] : [-(gt(n5, n2))], (905 ^ _196999) ^ [] : [-(gt(n3, n2))], (907 ^ _196999) ^ [] : [-(gt(n4, n3))], (909 ^ _196999) ^ [] : [-(gt(n5, n3))], (911 ^ _196999) ^ [_233509] : [leq(n0, _233509), leq(_233509, n4), -(_233509 = n0), -(_233509 = n1), -(_233509 = n2), -(_233509 = n3), -(_233509 = n4)], (937 ^ _196999) ^ [_234130] : [leq(n0, _234130), leq(_234130, n5), -(_234130 = n0), -(_234130 = n1), -(_234130 = n2), -(_234130 = n3), -(_234130 = n4), -(_234130 = n5)], (967 ^ _196999) ^ [_234837] : [-(_234837 = n0), leq(n0, _234837), leq(_234837, n0)], (977 ^ _196999) ^ [_235112] : [leq(n0, _235112), leq(_235112, n1), -(_235112 = n0), -(_235112 = n1)], (991 ^ _196999) ^ [_235475] : [leq(n0, _235475), leq(_235475, n2), -(_235475 = n0), -(_235475 = n1), -(_235475 = n2)], (1031 ^ _196999) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _196999) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _196999) ^ [] : [-(succ(n0) = n1)], (1037 ^ _196999) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _196999) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _196999) ^ [_235924] : [leq(n0, _235924), leq(_235924, n3), -(_235924 = n0), -(_235924 = n1), -(_235924 = n2), -(_235924 = n3)], (264 ^ _196999) ^ [_206471, _206473] : [-(gt(_206473, _206471)), -(gt(_206471, _206473)), -(_206473 = _206471)], (274 ^ _196999) ^ [_206786, _206788, _206790] : [-(gt(_206790, _206786)), gt(_206790, _206788), gt(_206788, _206786)], (284 ^ _196999) ^ [_207065] : [gt(_207065, _207065)], (286 ^ _196999) ^ [_207143] : [-(leq(_207143, _207143))], (288 ^ _196999) ^ [_207264, _207266, _207268] : [-(leq(_207268, _207264)), leq(_207268, _207266), leq(_207266, _207264)], (298 ^ _196999) ^ [_207602, _207604] : [lt(_207604, _207602), -(gt(_207602, _207604))], (304 ^ _196999) ^ [_207764, _207766] : [gt(_207764, _207766), -(lt(_207766, _207764))], (310 ^ _196999) ^ [_208005, _208007] : [geq(_208007, _208005), -(leq(_208005, _208007))], (316 ^ _196999) ^ [_208167, _208169] : [leq(_208167, _208169), -(geq(_208169, _208167))], (322 ^ _196999) ^ [_208379, _208381] : [gt(_208379, _208381), -(leq(_208381, _208379))], (328 ^ _196999) ^ [_208589, _208591] : [-(gt(_208589, _208591)), leq(_208591, _208589), -(_208591 = _208589)], (338 ^ _196999) ^ [_208920, _208922] : [leq(_208922, pred(_208920)), -(gt(_208920, _208922))], (344 ^ _196999) ^ [_209086, _209088] : [gt(_209086, _209088), -(leq(_209088, pred(_209086)))], (350 ^ _196999) ^ [_209273] : [-(gt(succ(_209273), _209273))], (352 ^ _196999) ^ [_209382, _209384] : [leq(_209384, _209382), -(leq(_209384, succ(_209382)))], (358 ^ _196999) ^ [_209625, _209627] : [leq(_209627, _209625), -(gt(succ(_209625), _209627))], (364 ^ _196999) ^ [_209791, _209793] : [gt(succ(_209791), _209793), -(leq(_209793, _209791))], (370 ^ _196999) ^ [_210007, _210009] : [leq(n0, _210009), -(leq(uniform_int_rnd(_210007, _210009), _210009))], (376 ^ _196999) ^ [_210223, _210225] : [leq(n0, _210225), -(leq(n0, uniform_int_rnd(_210223, _210225)))], (382 ^ _196999) ^ [_210467, _210469, _210471, _210473] : [-(a_select2(tptp_const_array1(dim(_210471, _210469), _210467), _210473) = _210467), leq(_210471, _210473), leq(_210473, _210469)], (392 ^ _196999) ^ [_210874, _210876, _210878, _210880, _210882, _210884, _210886] : [-(a_select3(tptp_const_array2(dim(_210884, _210882), dim(_210878, _210876), _210874), _210886, _210880) = _210874), leq(_210884, _210886), leq(_210886, _210882), leq(_210878, _210880), leq(_210880, _210876)], (410 ^ _196999) ^ [_211469, _211471] : [413 ^ _196999 : [(414 ^ _196999) ^ [] : [-(leq(n0, 411 ^ [_211469, _211471]))], (416 ^ _196999) ^ [] : [-(leq(411 ^ [_211469, _211471], _211469))], (418 ^ _196999) ^ [] : [-(leq(n0, 412 ^ [_211469, _211471]))], (420 ^ _196999) ^ [] : [-(leq(412 ^ [_211469, _211471], _211469))], (422 ^ _196999) ^ [] : [a_select3(_211471, 411 ^ [_211469, _211471], 412 ^ [_211469, _211471]) = a_select3(_211471, 412 ^ [_211469, _211471], 411 ^ [_211469, _211471])]], 423 ^ _196999 : [(424 ^ _196999) ^ [_212226, _212228] : [-(a_select3(trans(_211471), _212228, _212226) = a_select3(trans(_211471), _212226, _212228)), leq(n0, _212228), leq(_212228, _211469), leq(n0, _212226), leq(_212226, _211469)]]], (442 ^ _196999) ^ [_212773, _212775] : [445 ^ _196999 : [(446 ^ _196999) ^ [] : [-(leq(n0, 443 ^ [_212773, _212775]))], (448 ^ _196999) ^ [] : [-(leq(443 ^ [_212773, _212775], _212773))], (450 ^ _196999) ^ [] : [-(leq(n0, 444 ^ [_212773, _212775]))], (452 ^ _196999) ^ [] : [-(leq(444 ^ [_212773, _212775], _212773))], (454 ^ _196999) ^ [] : [a_select3(_212775, 443 ^ [_212773, _212775], 444 ^ [_212773, _212775]) = a_select3(_212775, 444 ^ [_212773, _212775], 443 ^ [_212773, _212775])]], 455 ^ _196999 : [(456 ^ _196999) ^ [_213530, _213532] : [-(a_select3(inv(_212775), _213532, _213530) = a_select3(inv(_212775), _213530, _213532)), leq(n0, _213532), leq(_213532, _212773), leq(n0, _213530), leq(_213530, _212773)]]], (474 ^ _196999) ^ [_214077, _214079] : [477 ^ _196999 : [(478 ^ _196999) ^ [] : [-(leq(n0, 475 ^ [_214077, _214079]))], (480 ^ _196999) ^ [] : [-(leq(475 ^ [_214077, _214079], _214077))], (482 ^ _196999) ^ [] : [-(leq(n0, 476 ^ [_214077, _214079]))], (484 ^ _196999) ^ [] : [-(leq(476 ^ [_214077, _214079], _214077))], (486 ^ _196999) ^ [] : [a_select3(_214079, 475 ^ [_214077, _214079], 476 ^ [_214077, _214079]) = a_select3(_214079, 476 ^ [_214077, _214079], 475 ^ [_214077, _214079])]], 487 ^ _196999 : [(488 ^ _196999) ^ [_214890, _214892, _214894, _214896] : [-(a_select3(tptp_update3(_214079, _214892, _214892, _214890), _214896, _214894) = a_select3(tptp_update3(_214079, _214892, _214892, _214890), _214894, _214896)), leq(n0, _214896), leq(_214896, _214077), leq(n0, _214894), leq(_214894, _214077), leq(n0, _214892), leq(_214892, _214077)]]], (514 ^ _196999) ^ [_215709, _215711, _215713] : [519 ^ _196999 : [(520 ^ _196999) ^ [] : [-(leq(n0, 517 ^ [_215709, _215711, _215713]))], (522 ^ _196999) ^ [] : [-(leq(517 ^ [_215709, _215711, _215713], _215709))], (524 ^ _196999) ^ [] : [-(leq(n0, 518 ^ [_215709, _215711, _215713]))], (526 ^ _196999) ^ [] : [-(leq(518 ^ [_215709, _215711, _215713], _215709))], (528 ^ _196999) ^ [] : [a_select3(_215713, 517 ^ [_215709, _215711, _215713], 518 ^ [_215709, _215711, _215713]) = a_select3(_215713, 518 ^ [_215709, _215711, _215713], 517 ^ [_215709, _215711, _215713])]], 531 ^ _196999 : [(532 ^ _196999) ^ [] : [-(leq(n0, 529 ^ [_215709, _215711, _215713]))], (534 ^ _196999) ^ [] : [-(leq(529 ^ [_215709, _215711, _215713], _215709))], (536 ^ _196999) ^ [] : [-(leq(n0, 530 ^ [_215709, _215711, _215713]))], (538 ^ _196999) ^ [] : [-(leq(530 ^ [_215709, _215711, _215713], _215709))], (540 ^ _196999) ^ [] : [a_select3(_215711, 529 ^ [_215709, _215711, _215713], 530 ^ [_215709, _215711, _215713]) = a_select3(_215711, 530 ^ [_215709, _215711, _215713], 529 ^ [_215709, _215711, _215713])]], 541 ^ _196999 : [(542 ^ _196999) ^ [_217218, _217220] : [-(a_select3(tptp_madd(_215713, _215711), _217220, _217218) = a_select3(tptp_madd(_215713, _215711), _217218, _217220)), leq(n0, _217220), leq(_217220, _215709), leq(n0, _217218), leq(_217218, _215709)]]], (560 ^ _196999) ^ [_217804, _217806, _217808] : [565 ^ _196999 : [(566 ^ _196999) ^ [] : [-(leq(n0, 563 ^ [_217804, _217806, _217808]))], (568 ^ _196999) ^ [] : [-(leq(563 ^ [_217804, _217806, _217808], _217804))], (570 ^ _196999) ^ [] : [-(leq(n0, 564 ^ [_217804, _217806, _217808]))], (572 ^ _196999) ^ [] : [-(leq(564 ^ [_217804, _217806, _217808], _217804))], (574 ^ _196999) ^ [] : [a_select3(_217808, 563 ^ [_217804, _217806, _217808], 564 ^ [_217804, _217806, _217808]) = a_select3(_217808, 564 ^ [_217804, _217806, _217808], 563 ^ [_217804, _217806, _217808])]], 577 ^ _196999 : [(578 ^ _196999) ^ [] : [-(leq(n0, 575 ^ [_217804, _217806, _217808]))], (580 ^ _196999) ^ [] : [-(leq(575 ^ [_217804, _217806, _217808], _217804))], (582 ^ _196999) ^ [] : [-(leq(n0, 576 ^ [_217804, _217806, _217808]))], (584 ^ _196999) ^ [] : [-(leq(576 ^ [_217804, _217806, _217808], _217804))], (586 ^ _196999) ^ [] : [a_select3(_217806, 575 ^ [_217804, _217806, _217808], 576 ^ [_217804, _217806, _217808]) = a_select3(_217806, 576 ^ [_217804, _217806, _217808], 575 ^ [_217804, _217806, _217808])]], 587 ^ _196999 : [(588 ^ _196999) ^ [_219313, _219315] : [-(a_select3(tptp_msub(_217808, _217806), _219315, _219313) = a_select3(tptp_msub(_217808, _217806), _219313, _219315)), leq(n0, _219315), leq(_219315, _217804), leq(n0, _219313), leq(_219313, _217804)]]], (606 ^ _196999) ^ [_219899, _219901, _219903] : [609 ^ _196999 : [(610 ^ _196999) ^ [] : [-(leq(n0, 607 ^ [_219899, _219901, _219903]))], (612 ^ _196999) ^ [] : [-(leq(607 ^ [_219899, _219901, _219903], _219899))], (614 ^ _196999) ^ [] : [-(leq(n0, 608 ^ [_219899, _219901, _219903]))], (616 ^ _196999) ^ [] : [-(leq(608 ^ [_219899, _219901, _219903], _219899))], (618 ^ _196999) ^ [] : [a_select3(_219901, 607 ^ [_219899, _219901, _219903], 608 ^ [_219899, _219901, _219903]) = a_select3(_219901, 608 ^ [_219899, _219901, _219903], 607 ^ [_219899, _219901, _219903])]], 619 ^ _196999 : [(620 ^ _196999) ^ [_220712, _220714] : [-(a_select3(tptp_mmul(_219903, tptp_mmul(_219901, trans(_219903))), _220714, _220712) = a_select3(tptp_mmul(_219903, tptp_mmul(_219901, trans(_219903))), _220712, _220714)), leq(n0, _220714), leq(_220714, _219899), leq(n0, _220712), leq(_220712, _219899)]]], (638 ^ _196999) ^ [_221331, _221333, _221335, _221337] : [641 ^ _196999 : [(642 ^ _196999) ^ [] : [-(leq(n0, 639 ^ [_221331, _221333, _221335, _221337]))], (644 ^ _196999) ^ [] : [-(leq(639 ^ [_221331, _221333, _221335, _221337], _221331))], (646 ^ _196999) ^ [] : [-(leq(n0, 640 ^ [_221331, _221333, _221335, _221337]))], (648 ^ _196999) ^ [] : [-(leq(640 ^ [_221331, _221333, _221335, _221337], _221331))], (650 ^ _196999) ^ [] : [a_select3(_221335, 639 ^ [_221331, _221333, _221335, _221337], 640 ^ [_221331, _221333, _221335, _221337]) = a_select3(_221335, 640 ^ [_221331, _221333, _221335, _221337], 639 ^ [_221331, _221333, _221335, _221337])]], 651 ^ _196999 : [(652 ^ _196999) ^ [_222188, _222190] : [-(a_select3(tptp_mmul(_221337, tptp_mmul(_221335, trans(_221337))), _222190, _222188) = a_select3(tptp_mmul(_221337, tptp_mmul(_221335, trans(_221337))), _222188, _222190)), leq(n0, _222190), leq(_222190, _221333), leq(n0, _222188), leq(_222188, _221333)]]], (670 ^ _196999) ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897] : [675 ^ _196999 : [(676 ^ _196999) ^ [] : [-(leq(n0, 673 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (678 ^ _196999) ^ [] : [-(leq(673 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222883))], (680 ^ _196999) ^ [] : [-(leq(n0, 674 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (682 ^ _196999) ^ [] : [-(leq(674 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222883))], (684 ^ _196999) ^ [] : [a_select3(_222891, 673 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 674 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]) = a_select3(_222891, 674 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 673 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897])]], 689 ^ _196999 : [(690 ^ _196999) ^ [] : [-(leq(n0, 687 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (692 ^ _196999) ^ [] : [-(leq(687 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222885))], (694 ^ _196999) ^ [] : [-(leq(n0, 688 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (696 ^ _196999) ^ [] : [-(leq(688 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222885))], (698 ^ _196999) ^ [] : [a_select3(_222897, 687 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 688 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]) = a_select3(_222897, 688 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 687 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897])]], 701 ^ _196999 : [(702 ^ _196999) ^ [] : [-(leq(n0, 699 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (704 ^ _196999) ^ [] : [-(leq(699 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222885))], (706 ^ _196999) ^ [] : [-(leq(n0, 700 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]))], (708 ^ _196999) ^ [] : [-(leq(700 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], _222885))], (710 ^ _196999) ^ [] : [a_select3(_222887, 699 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 700 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897]) = a_select3(_222887, 700 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897], 699 ^ [_222883, _222885, _222887, _222889, _222891, _222893, _222895, _222897])]], 711 ^ _196999 : [(712 ^ _196999) ^ [_225811, _225813] : [-(a_select3(tptp_madd(_222897, tptp_mmul(_222895, tptp_mmul(tptp_madd(tptp_mmul(_222893, tptp_mmul(_222891, trans(_222893))), tptp_mmul(_222889, tptp_mmul(_222887, trans(_222889)))), trans(_222895)))), _225813, _225811) = a_select3(tptp_madd(_222897, tptp_mmul(_222895, tptp_mmul(tptp_madd(tptp_mmul(_222893, tptp_mmul(_222891, trans(_222893))), tptp_mmul(_222889, tptp_mmul(_222887, trans(_222889)))), trans(_222895)))), _225811, _225813)), leq(n0, _225813), leq(_225813, _222885), leq(n0, _225811), leq(_225811, _222885)]]], (730 ^ _196999) ^ [_226564] : [-(sum(n0, tptp_minus_1, _226564) = n0)], (732 ^ _196999) ^ [_226646] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226646))], (734 ^ _196999) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196999) ^ [_226781] : [-(plus(_226781, n1) = succ(_226781))], (738 ^ _196999) ^ [_226864] : [-(plus(n1, _226864) = succ(_226864))], (740 ^ _196999) ^ [_226947] : [-(plus(_226947, n2) = succ(succ(_226947)))], (742 ^ _196999) ^ [_227032] : [-(plus(n2, _227032) = succ(succ(_227032)))], (744 ^ _196999) ^ [_227117] : [-(plus(_227117, n3) = succ(succ(succ(_227117))))], (746 ^ _196999) ^ [_227204] : [-(plus(n3, _227204) = succ(succ(succ(_227204))))], (748 ^ _196999) ^ [_227291] : [-(plus(_227291, n4) = succ(succ(succ(succ(_227291)))))], (750 ^ _196999) ^ [_227380] : [-(plus(n4, _227380) = succ(succ(succ(succ(_227380)))))], (752 ^ _196999) ^ [_227469] : [-(plus(_227469, n5) = succ(succ(succ(succ(succ(_227469))))))], (754 ^ _196999) ^ [_227560] : [-(plus(n5, _227560) = succ(succ(succ(succ(succ(_227560))))))], (756 ^ _196999) ^ [_227651] : [-(minus(_227651, n1) = pred(_227651))], (758 ^ _196999) ^ [_227734] : [-(pred(succ(_227734)) = _227734)], (760 ^ _196999) ^ [_227816] : [-(succ(pred(_227816)) = _227816)], (762 ^ _196999) ^ [_227956, _227958] : [leq(succ(_227958), succ(_227956)), -(leq(_227958, _227956))], (768 ^ _196999) ^ [_228126, _228128] : [leq(_228128, _228126), -(leq(succ(_228128), succ(_228126)))], (774 ^ _196999) ^ [_228346, _228348] : [leq(succ(_228348), _228346), -(gt(_228346, _228348))], (780 ^ _196999) ^ [_228560, _228562] : [leq(minus(_228562, _228560), _228562), -(leq(n0, _228560))], (786 ^ _196999) ^ [_228789, _228791, _228793, _228795] : [-(a_select3(tptp_update3(_228795, _228793, _228791, _228789), _228793, _228791) = _228789)], (788 ^ _196999) ^ [_228981, _228983, _228985, _228987, _228989, _228991, _228993] : [-(a_select3(tptp_update3(_228985, _228993, _228991, _228981), _228989, _228987) = _228983), -(_228993 = _228989), _228991 = _228987, a_select3(_228985, _228989, _228987) = _228983], (802 ^ _196999) ^ [_229524, _229526, _229528, _229530, _229532, _229534] : [-(a_select3(tptp_update3(_229526, _229530, _229528, _229524), _229534, _229532) = _229524), 807 ^ _196999 : [(808 ^ _196999) ^ [] : [-(leq(n0, 805 ^ [_229524, _229526, _229528, _229530, _229532, _229534]))], (810 ^ _196999) ^ [] : [-(leq(n0, 806 ^ [_229524, _229526, _229528, _229530, _229532, _229534]))], (812 ^ _196999) ^ [] : [-(leq(805 ^ [_229524, _229526, _229528, _229530, _229532, _229534], _229530))], (814 ^ _196999) ^ [] : [-(leq(806 ^ [_229524, _229526, _229528, _229530, _229532, _229534], _229528))], (816 ^ _196999) ^ [] : [a_select3(_229526, 805 ^ [_229524, _229526, _229528, _229530, _229532, _229534], 806 ^ [_229524, _229526, _229528, _229530, _229532, _229534]) = _229524]], leq(n0, _229534), leq(_229534, _229530), leq(n0, _229532), leq(_229532, _229528)], (834 ^ _196999) ^ [_230866, _230868, _230870] : [-(a_select2(tptp_update2(_230870, _230868, _230866), _230868) = _230866)], (836 ^ _196999) ^ [_231026, _231028, _231030, _231032, _231034] : [-(a_select2(tptp_update2(_231030, _231034, _231026), _231032) = _231028), -(_231034 = _231032), a_select2(_231030, _231032) = _231028], (865 ^ _196999) ^ [] : [-(true)], (867 ^ _196999) ^ [] : [def = use], (846 ^ _196999) ^ [_231406, _231408, _231410, _231412] : [-(a_select2(tptp_update2(_231408, _231410, _231406), _231412) = _231406), 850 ^ _196999 : [(851 ^ _196999) ^ [] : [-(leq(n0, 849 ^ [_231406, _231408, _231410, _231412]))], (853 ^ _196999) ^ [] : [-(leq(849 ^ [_231406, _231408, _231410, _231412], _231410))], (855 ^ _196999) ^ [] : [a_select2(_231408, 849 ^ [_231406, _231408, _231410, _231412]) = _231406]], leq(n0, _231412), leq(_231412, _231410)]], input).
% 17.11/16.86  ncf('1',plain,[gt(n0, n0)],start(284 ^ 0,bind([[_207065], [n0]]))).
% 17.11/16.86  ncf('1.1',plain,[-(gt(n0, n0)), leq(n0, pred(n0))],extension(338 ^ 1,bind([[_208920, _208922], [n0, n0]]))).
% 17.11/16.86  ncf('1.1.1',plain,[-(leq(n0, pred(n0))), leq(n0, 1040 ^ []), leq(1040 ^ [], pred(n0))],extension(288 ^ 2,bind([[_207264, _207266, _207268], [pred(n0), 1040 ^ [], n0]]))).
% 17.11/16.86  ncf('1.1.1.1',plain,[-(leq(n0, 1040 ^ []))],extension(1042 ^ 3)).
% 17.11/16.86  ncf('1.1.1.2',plain,[-(leq(1040 ^ [], pred(n0))), leq(1040 ^ [], tptp_minus_1), leq(tptp_minus_1, pred(n0))],extension(288 ^ 3,bind([[_207264, _207266, _207268], [pred(n0), tptp_minus_1, 1040 ^ []]]))).
% 17.11/16.86  ncf('1.1.1.2.1',plain,[-(leq(1040 ^ [], tptp_minus_1))],extension(1044 ^ 4)).
% 17.11/16.86  ncf('1.1.1.2.2',plain,[-(leq(tptp_minus_1, pred(n0))), gt(n0, tptp_minus_1)],extension(344 ^ 4,bind([[_209086, _209088], [n0, tptp_minus_1]]))).
% 17.11/16.86  ncf('1.1.1.2.2.1',plain,[-(gt(n0, tptp_minus_1))],extension(875 ^ 5)).
% 17.11/16.86  %-----------------------------------------------------
% 17.11/16.86  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------