%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV062+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:19:52 EDT 2023

% Result   : Theorem 0.20s 1.30s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : SWV062+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.08  % Command  : nanocop.sh %s %d
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Fri May 19 02:30:05 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.20/1.30  
% 0.20/1.30  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.20/1.30  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/1.30  %-----------------------------------------------------
% 0.20/1.30  ncf(matrix, plain, [(1055 ^ _199933) ^ [] : [-(leq(n0, pv10))], (1057 ^ _199933) ^ [] : [-(leq(n0, pv41))], (1059 ^ _199933) ^ [] : [-(leq(n0, pv43))], (1061 ^ _199933) ^ [] : [-(leq(pv10, minus(n135300, n1)))], (1063 ^ _199933) ^ [] : [-(leq(pv41, minus(n5, n1)))], (1065 ^ _199933) ^ [] : [-(leq(pv43, minus(n5, n1)))], (1067 ^ _199933) ^ [] : [leq(n0, pv10), leq(n0, pv41), leq(n0, pv43), leq(pv10, minus(n135300, n1)), leq(pv41, minus(n5, n1)), leq(pv43, minus(n5, n1))], (2 ^ _199933) ^ [_200077] : [-(_200077 = _200077)], (4 ^ _199933) ^ [_200184, _200186] : [_200186 = _200184, -(_200184 = _200186)], (10 ^ _199933) ^ [_200388, _200390, _200392] : [-(_200392 = _200388), _200392 = _200390, _200390 = _200388], (20 ^ _199933) ^ [_200729, _200731, _200733, _200735] : [-(lt(_200733, _200729)), lt(_200735, _200731), _200735 = _200733, _200731 = _200729], (34 ^ _199933) ^ [_201173, _201175, _201177, _201179] : [-(geq(_201177, _201173)), geq(_201179, _201175), _201179 = _201177, _201175 = _201173], (48 ^ _199933) ^ [_201617, _201619, _201621, _201623] : [-(gt(_201621, _201617)), gt(_201623, _201619), _201623 = _201621, _201619 = _201617], (62 ^ _199933) ^ [_202041, _202043, _202045, _202047] : [-(leq(_202045, _202041)), leq(_202047, _202043), _202047 = _202045, _202043 = _202041], (76 ^ _199933) ^ [_202497, _202499, _202501, _202503] : [-(uniform_int_rnd(_202503, _202499) = uniform_int_rnd(_202501, _202497)), _202503 = _202501, _202499 = _202497], (86 ^ _199933) ^ [_202856, _202858, _202860, _202862] : [-(tptp_const_array1(_202862, _202858) = tptp_const_array1(_202860, _202856)), _202862 = _202860, _202858 = _202856], (96 ^ _199933) ^ [_203243, _203245, _203247, _203249, _203251, _203253] : [-(tptp_const_array2(_203253, _203249, _203245) = tptp_const_array2(_203251, _203247, _203243)), _203253 = _203251, _203249 = _203247, _203245 = _203243], (110 ^ _199933) ^ [_203731, _203733, _203735, _203737] : [-(dim(_203737, _203733) = dim(_203735, _203731)), _203737 = _203735, _203733 = _203731], (120 ^ _199933) ^ [_204062, _204064] : [_204064 = _204062, -(inv(_204064) = inv(_204062))], (126 ^ _199933) ^ [_204308, _204310, _204312, _204314] : [-(tptp_msub(_204314, _204310) = tptp_msub(_204312, _204308)), _204314 = _204312, _204310 = _204308], (136 ^ _199933) ^ [_204667, _204669, _204671, _204673] : [-(tptp_madd(_204673, _204669) = tptp_madd(_204671, _204667)), _204673 = _204671, _204669 = _204667], (146 ^ _199933) ^ [_205026, _205028, _205030, _205032] : [-(tptp_mmul(_205032, _205028) = tptp_mmul(_205030, _205026)), _205032 = _205030, _205028 = _205026], (156 ^ _199933) ^ [_205357, _205359] : [_205359 = _205357, -(trans(_205359) = trans(_205357))], (162 ^ _199933) ^ [_205631, _205633, _205635, _205637, _205639, _205641] : [-(sum(_205641, _205637, _205633) = sum(_205639, _205635, _205631)), _205641 = _205639, _205637 = _205635, _205633 = _205631], (176 ^ _199933) ^ [_206119, _206121, _206123, _206125] : [-(plus(_206125, _206121) = plus(_206123, _206119)), _206125 = _206123, _206121 = _206119], (186 ^ _199933) ^ [_206450, _206452] : [_206452 = _206450, -(pred(_206452) = pred(_206450))], (192 ^ _199933) ^ [_206724, _206726, _206728, _206730, _206732, _206734] : [-(a_select3(_206734, _206730, _206726) = a_select3(_206732, _206728, _206724)), _206734 = _206732, _206730 = _206728, _206726 = _206724], (206 ^ _199933) ^ [_207268, _207270, _207272, _207274, _207276, _207278, _207280, _207282] : [-(tptp_update3(_207282, _207278, _207274, _207270) = tptp_update3(_207280, _207276, _207272, _207268)), _207282 = _207280, _207278 = _207276, _207274 = _207272, _207270 = _207268], (224 ^ _199933) ^ [_207901, _207903, _207905, _207907] : [-(a_select2(_207907, _207903) = a_select2(_207905, _207901)), _207907 = _207905, _207903 = _207901], (234 ^ _199933) ^ [_208288, _208290, _208292, _208294, _208296, _208298] : [-(tptp_update2(_208298, _208294, _208290) = tptp_update2(_208296, _208292, _208288)), _208298 = _208296, _208294 = _208292, _208290 = _208288], (248 ^ _199933) ^ [_208748, _208750] : [_208750 = _208748, -(succ(_208750) = succ(_208748))], (254 ^ _199933) ^ [_208974, _208976, _208978, _208980] : [-(minus(_208980, _208976) = minus(_208978, _208974)), _208980 = _208978, _208976 = _208974], (869 ^ _199933) ^ [] : [-(gt(n5, n4))], (871 ^ _199933) ^ [] : [-(gt(n135300, n4))], (873 ^ _199933) ^ [] : [-(gt(n135300, n5))], (875 ^ _199933) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _199933) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _199933) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _199933) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _199933) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _199933) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _199933) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _199933) ^ [] : [-(gt(n4, n0))], (891 ^ _199933) ^ [] : [-(gt(n5, n0))], (893 ^ _199933) ^ [] : [-(gt(n135300, n0))], (895 ^ _199933) ^ [] : [-(gt(n1, n0))], (897 ^ _199933) ^ [] : [-(gt(n2, n0))], (899 ^ _199933) ^ [] : [-(gt(n3, n0))], (901 ^ _199933) ^ [] : [-(gt(n4, n1))], (903 ^ _199933) ^ [] : [-(gt(n5, n1))], (905 ^ _199933) ^ [] : [-(gt(n135300, n1))], (907 ^ _199933) ^ [] : [-(gt(n2, n1))], (909 ^ _199933) ^ [] : [-(gt(n3, n1))], (911 ^ _199933) ^ [] : [-(gt(n4, n2))], (913 ^ _199933) ^ [] : [-(gt(n5, n2))], (915 ^ _199933) ^ [] : [-(gt(n135300, n2))], (917 ^ _199933) ^ [] : [-(gt(n3, n2))], (919 ^ _199933) ^ [] : [-(gt(n4, n3))], (921 ^ _199933) ^ [] : [-(gt(n5, n3))], (923 ^ _199933) ^ [] : [-(gt(n135300, n3))], (925 ^ _199933) ^ [_236814] : [leq(n0, _236814), leq(_236814, n4), -(_236814 = n0), -(_236814 = n1), -(_236814 = n2), -(_236814 = n3), -(_236814 = n4)], (951 ^ _199933) ^ [_237435] : [leq(n0, _237435), leq(_237435, n5), -(_237435 = n0), -(_237435 = n1), -(_237435 = n2), -(_237435 = n3), -(_237435 = n4), -(_237435 = n5)], (981 ^ _199933) ^ [_238142] : [-(_238142 = n0), leq(n0, _238142), leq(_238142, n0)], (991 ^ _199933) ^ [_238417] : [leq(n0, _238417), leq(_238417, n1), -(_238417 = n0), -(_238417 = n1)], (1005 ^ _199933) ^ [_238780] : [leq(n0, _238780), leq(_238780, n2), -(_238780 = n0), -(_238780 = n1), -(_238780 = n2)], (1045 ^ _199933) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _199933) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _199933) ^ [] : [-(succ(n0) = n1)], (1051 ^ _199933) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _199933) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _199933) ^ [_239229] : [leq(n0, _239229), leq(_239229, n3), -(_239229 = n0), -(_239229 = n1), -(_239229 = n2), -(_239229 = n3)], (264 ^ _199933) ^ [_209405, _209407] : [-(gt(_209407, _209405)), -(gt(_209405, _209407)), -(_209407 = _209405)], (274 ^ _199933) ^ [_209720, _209722, _209724] : [-(gt(_209724, _209720)), gt(_209724, _209722), gt(_209722, _209720)], (284 ^ _199933) ^ [_209999] : [gt(_209999, _209999)], (286 ^ _199933) ^ [_210077] : [-(leq(_210077, _210077))], (288 ^ _199933) ^ [_210198, _210200, _210202] : [-(leq(_210202, _210198)), leq(_210202, _210200), leq(_210200, _210198)], (298 ^ _199933) ^ [_210536, _210538] : [lt(_210538, _210536), -(gt(_210536, _210538))], (304 ^ _199933) ^ [_210698, _210700] : [gt(_210698, _210700), -(lt(_210700, _210698))], (310 ^ _199933) ^ [_210939, _210941] : [geq(_210941, _210939), -(leq(_210939, _210941))], (316 ^ _199933) ^ [_211101, _211103] : [leq(_211101, _211103), -(geq(_211103, _211101))], (322 ^ _199933) ^ [_211313, _211315] : [gt(_211313, _211315), -(leq(_211315, _211313))], (328 ^ _199933) ^ [_211523, _211525] : [-(gt(_211523, _211525)), leq(_211525, _211523), -(_211525 = _211523)], (338 ^ _199933) ^ [_211854, _211856] : [leq(_211856, pred(_211854)), -(gt(_211854, _211856))], (344 ^ _199933) ^ [_212020, _212022] : [gt(_212020, _212022), -(leq(_212022, pred(_212020)))], (350 ^ _199933) ^ [_212207] : [-(gt(succ(_212207), _212207))], (352 ^ _199933) ^ [_212316, _212318] : [leq(_212318, _212316), -(leq(_212318, succ(_212316)))], (358 ^ _199933) ^ [_212559, _212561] : [leq(_212561, _212559), -(gt(succ(_212559), _212561))], (364 ^ _199933) ^ [_212725, _212727] : [gt(succ(_212725), _212727), -(leq(_212727, _212725))], (370 ^ _199933) ^ [_212941, _212943] : [leq(n0, _212943), -(leq(uniform_int_rnd(_212941, _212943), _212943))], (376 ^ _199933) ^ [_213157, _213159] : [leq(n0, _213159), -(leq(n0, uniform_int_rnd(_213157, _213159)))], (382 ^ _199933) ^ [_213401, _213403, _213405, _213407] : [-(a_select2(tptp_const_array1(dim(_213405, _213403), _213401), _213407) = _213401), leq(_213405, _213407), leq(_213407, _213403)], (392 ^ _199933) ^ [_213808, _213810, _213812, _213814, _213816, _213818, _213820] : [-(a_select3(tptp_const_array2(dim(_213818, _213816), dim(_213812, _213810), _213808), _213820, _213814) = _213808), leq(_213818, _213820), leq(_213820, _213816), leq(_213812, _213814), leq(_213814, _213810)], (410 ^ _199933) ^ [_214403, _214405] : [413 ^ _199933 : [(414 ^ _199933) ^ [] : [-(leq(n0, 411 ^ [_214403, _214405]))], (416 ^ _199933) ^ [] : [-(leq(411 ^ [_214403, _214405], _214403))], (418 ^ _199933) ^ [] : [-(leq(n0, 412 ^ [_214403, _214405]))], (420 ^ _199933) ^ [] : [-(leq(412 ^ [_214403, _214405], _214403))], (422 ^ _199933) ^ [] : [a_select3(_214405, 411 ^ [_214403, _214405], 412 ^ [_214403, _214405]) = a_select3(_214405, 412 ^ [_214403, _214405], 411 ^ [_214403, _214405])]], 423 ^ _199933 : [(424 ^ _199933) ^ [_215160, _215162] : [-(a_select3(trans(_214405), _215162, _215160) = a_select3(trans(_214405), _215160, _215162)), leq(n0, _215162), leq(_215162, _214403), leq(n0, _215160), leq(_215160, _214403)]]], (442 ^ _199933) ^ [_215707, _215709] : [445 ^ _199933 : [(446 ^ _199933) ^ [] : [-(leq(n0, 443 ^ [_215707, _215709]))], (448 ^ _199933) ^ [] : [-(leq(443 ^ [_215707, _215709], _215707))], (450 ^ _199933) ^ [] : [-(leq(n0, 444 ^ [_215707, _215709]))], (452 ^ _199933) ^ [] : [-(leq(444 ^ [_215707, _215709], _215707))], (454 ^ _199933) ^ [] : [a_select3(_215709, 443 ^ [_215707, _215709], 444 ^ [_215707, _215709]) = a_select3(_215709, 444 ^ [_215707, _215709], 443 ^ [_215707, _215709])]], 455 ^ _199933 : [(456 ^ _199933) ^ [_216464, _216466] : [-(a_select3(inv(_215709), _216466, _216464) = a_select3(inv(_215709), _216464, _216466)), leq(n0, _216466), leq(_216466, _215707), leq(n0, _216464), leq(_216464, _215707)]]], (474 ^ _199933) ^ [_217011, _217013] : [477 ^ _199933 : [(478 ^ _199933) ^ [] : [-(leq(n0, 475 ^ [_217011, _217013]))], (480 ^ _199933) ^ [] : [-(leq(475 ^ [_217011, _217013], _217011))], (482 ^ _199933) ^ [] : [-(leq(n0, 476 ^ [_217011, _217013]))], (484 ^ _199933) ^ [] : [-(leq(476 ^ [_217011, _217013], _217011))], (486 ^ _199933) ^ [] : [a_select3(_217013, 475 ^ [_217011, _217013], 476 ^ [_217011, _217013]) = a_select3(_217013, 476 ^ [_217011, _217013], 475 ^ [_217011, _217013])]], 487 ^ _199933 : [(488 ^ _199933) ^ [_217824, _217826, _217828, _217830] : [-(a_select3(tptp_update3(_217013, _217826, _217826, _217824), _217830, _217828) = a_select3(tptp_update3(_217013, _217826, _217826, _217824), _217828, _217830)), leq(n0, _217830), leq(_217830, _217011), leq(n0, _217828), leq(_217828, _217011), leq(n0, _217826), leq(_217826, _217011)]]], (514 ^ _199933) ^ [_218643, _218645, _218647] : [519 ^ _199933 : [(520 ^ _199933) ^ [] : [-(leq(n0, 517 ^ [_218643, _218645, _218647]))], (522 ^ _199933) ^ [] : [-(leq(517 ^ [_218643, _218645, _218647], _218643))], (524 ^ _199933) ^ [] : [-(leq(n0, 518 ^ [_218643, _218645, _218647]))], (526 ^ _199933) ^ [] : [-(leq(518 ^ [_218643, _218645, _218647], _218643))], (528 ^ _199933) ^ [] : [a_select3(_218647, 517 ^ [_218643, _218645, _218647], 518 ^ [_218643, _218645, _218647]) = a_select3(_218647, 518 ^ [_218643, _218645, _218647], 517 ^ [_218643, _218645, _218647])]], 531 ^ _199933 : [(532 ^ _199933) ^ [] : [-(leq(n0, 529 ^ [_218643, _218645, _218647]))], (534 ^ _199933) ^ [] : [-(leq(529 ^ [_218643, _218645, _218647], _218643))], (536 ^ _199933) ^ [] : [-(leq(n0, 530 ^ [_218643, _218645, _218647]))], (538 ^ _199933) ^ [] : [-(leq(530 ^ [_218643, _218645, _218647], _218643))], (540 ^ _199933) ^ [] : [a_select3(_218645, 529 ^ [_218643, _218645, _218647], 530 ^ [_218643, _218645, _218647]) = a_select3(_218645, 530 ^ [_218643, _218645, _218647], 529 ^ [_218643, _218645, _218647])]], 541 ^ _199933 : [(542 ^ _199933) ^ [_220152, _220154] : [-(a_select3(tptp_madd(_218647, _218645), _220154, _220152) = a_select3(tptp_madd(_218647, _218645), _220152, _220154)), leq(n0, _220154), leq(_220154, _218643), leq(n0, _220152), leq(_220152, _218643)]]], (560 ^ _199933) ^ [_220738, _220740, _220742] : [565 ^ _199933 : [(566 ^ _199933) ^ [] : [-(leq(n0, 563 ^ [_220738, _220740, _220742]))], (568 ^ _199933) ^ [] : [-(leq(563 ^ [_220738, _220740, _220742], _220738))], (570 ^ _199933) ^ [] : [-(leq(n0, 564 ^ [_220738, _220740, _220742]))], (572 ^ _199933) ^ [] : [-(leq(564 ^ [_220738, _220740, _220742], _220738))], (574 ^ _199933) ^ [] : [a_select3(_220742, 563 ^ [_220738, _220740, _220742], 564 ^ [_220738, _220740, _220742]) = a_select3(_220742, 564 ^ [_220738, _220740, _220742], 563 ^ [_220738, _220740, _220742])]], 577 ^ _199933 : [(578 ^ _199933) ^ [] : [-(leq(n0, 575 ^ [_220738, _220740, _220742]))], (580 ^ _199933) ^ [] : [-(leq(575 ^ [_220738, _220740, _220742], _220738))], (582 ^ _199933) ^ [] : [-(leq(n0, 576 ^ [_220738, _220740, _220742]))], (584 ^ _199933) ^ [] : [-(leq(576 ^ [_220738, _220740, _220742], _220738))], (586 ^ _199933) ^ [] : [a_select3(_220740, 575 ^ [_220738, _220740, _220742], 576 ^ [_220738, _220740, _220742]) = a_select3(_220740, 576 ^ [_220738, _220740, _220742], 575 ^ [_220738, _220740, _220742])]], 587 ^ _199933 : [(588 ^ _199933) ^ [_222247, _222249] : [-(a_select3(tptp_msub(_220742, _220740), _222249, _222247) = a_select3(tptp_msub(_220742, _220740), _222247, _222249)), leq(n0, _222249), leq(_222249, _220738), leq(n0, _222247), leq(_222247, _220738)]]], (606 ^ _199933) ^ [_222833, _222835, _222837] : [609 ^ _199933 : [(610 ^ _199933) ^ [] : [-(leq(n0, 607 ^ [_222833, _222835, _222837]))], (612 ^ _199933) ^ [] : [-(leq(607 ^ [_222833, _222835, _222837], _222833))], (614 ^ _199933) ^ [] : [-(leq(n0, 608 ^ [_222833, _222835, _222837]))], (616 ^ _199933) ^ [] : [-(leq(608 ^ [_222833, _222835, _222837], _222833))], (618 ^ _199933) ^ [] : [a_select3(_222835, 607 ^ [_222833, _222835, _222837], 608 ^ [_222833, _222835, _222837]) = a_select3(_222835, 608 ^ [_222833, _222835, _222837], 607 ^ [_222833, _222835, _222837])]], 619 ^ _199933 : [(620 ^ _199933) ^ [_223646, _223648] : [-(a_select3(tptp_mmul(_222837, tptp_mmul(_222835, trans(_222837))), _223648, _223646) = a_select3(tptp_mmul(_222837, tptp_mmul(_222835, trans(_222837))), _223646, _223648)), leq(n0, _223648), leq(_223648, _222833), leq(n0, _223646), leq(_223646, _222833)]]], (638 ^ _199933) ^ [_224265, _224267, _224269, _224271] : [641 ^ _199933 : [(642 ^ _199933) ^ [] : [-(leq(n0, 639 ^ [_224265, _224267, _224269, _224271]))], (644 ^ _199933) ^ [] : [-(leq(639 ^ [_224265, _224267, _224269, _224271], _224265))], (646 ^ _199933) ^ [] : [-(leq(n0, 640 ^ [_224265, _224267, _224269, _224271]))], (648 ^ _199933) ^ [] : [-(leq(640 ^ [_224265, _224267, _224269, _224271], _224265))], (650 ^ _199933) ^ [] : [a_select3(_224269, 639 ^ [_224265, _224267, _224269, _224271], 640 ^ [_224265, _224267, _224269, _224271]) = a_select3(_224269, 640 ^ [_224265, _224267, _224269, _224271], 639 ^ [_224265, _224267, _224269, _224271])]], 651 ^ _199933 : [(652 ^ _199933) ^ [_225122, _225124] : [-(a_select3(tptp_mmul(_224271, tptp_mmul(_224269, trans(_224271))), _225124, _225122) = a_select3(tptp_mmul(_224271, tptp_mmul(_224269, trans(_224271))), _225122, _225124)), leq(n0, _225124), leq(_225124, _224267), leq(n0, _225122), leq(_225122, _224267)]]], (670 ^ _199933) ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831] : [675 ^ _199933 : [(676 ^ _199933) ^ [] : [-(leq(n0, 673 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (678 ^ _199933) ^ [] : [-(leq(673 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225817))], (680 ^ _199933) ^ [] : [-(leq(n0, 674 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (682 ^ _199933) ^ [] : [-(leq(674 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225817))], (684 ^ _199933) ^ [] : [a_select3(_225825, 673 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 674 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]) = a_select3(_225825, 674 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 673 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831])]], 689 ^ _199933 : [(690 ^ _199933) ^ [] : [-(leq(n0, 687 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (692 ^ _199933) ^ [] : [-(leq(687 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225819))], (694 ^ _199933) ^ [] : [-(leq(n0, 688 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (696 ^ _199933) ^ [] : [-(leq(688 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225819))], (698 ^ _199933) ^ [] : [a_select3(_225831, 687 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 688 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]) = a_select3(_225831, 688 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 687 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831])]], 701 ^ _199933 : [(702 ^ _199933) ^ [] : [-(leq(n0, 699 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (704 ^ _199933) ^ [] : [-(leq(699 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225819))], (706 ^ _199933) ^ [] : [-(leq(n0, 700 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]))], (708 ^ _199933) ^ [] : [-(leq(700 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], _225819))], (710 ^ _199933) ^ [] : [a_select3(_225821, 699 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 700 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831]) = a_select3(_225821, 700 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831], 699 ^ [_225817, _225819, _225821, _225823, _225825, _225827, _225829, _225831])]], 711 ^ _199933 : [(712 ^ _199933) ^ [_228745, _228747] : [-(a_select3(tptp_madd(_225831, tptp_mmul(_225829, tptp_mmul(tptp_madd(tptp_mmul(_225827, tptp_mmul(_225825, trans(_225827))), tptp_mmul(_225823, tptp_mmul(_225821, trans(_225823)))), trans(_225829)))), _228747, _228745) = a_select3(tptp_madd(_225831, tptp_mmul(_225829, tptp_mmul(tptp_madd(tptp_mmul(_225827, tptp_mmul(_225825, trans(_225827))), tptp_mmul(_225823, tptp_mmul(_225821, trans(_225823)))), trans(_225829)))), _228745, _228747)), leq(n0, _228747), leq(_228747, _225819), leq(n0, _228745), leq(_228745, _225819)]]], (730 ^ _199933) ^ [_229498] : [-(sum(n0, tptp_minus_1, _229498) = n0)], (732 ^ _199933) ^ [_229580] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _229580))], (734 ^ _199933) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _199933) ^ [_229715] : [-(plus(_229715, n1) = succ(_229715))], (738 ^ _199933) ^ [_229798] : [-(plus(n1, _229798) = succ(_229798))], (740 ^ _199933) ^ [_229881] : [-(plus(_229881, n2) = succ(succ(_229881)))], (742 ^ _199933) ^ [_229966] : [-(plus(n2, _229966) = succ(succ(_229966)))], (744 ^ _199933) ^ [_230051] : [-(plus(_230051, n3) = succ(succ(succ(_230051))))], (746 ^ _199933) ^ [_230138] : [-(plus(n3, _230138) = succ(succ(succ(_230138))))], (748 ^ _199933) ^ [_230225] : [-(plus(_230225, n4) = succ(succ(succ(succ(_230225)))))], (750 ^ _199933) ^ [_230314] : [-(plus(n4, _230314) = succ(succ(succ(succ(_230314)))))], (752 ^ _199933) ^ [_230403] : [-(plus(_230403, n5) = succ(succ(succ(succ(succ(_230403))))))], (754 ^ _199933) ^ [_230494] : [-(plus(n5, _230494) = succ(succ(succ(succ(succ(_230494))))))], (756 ^ _199933) ^ [_230585] : [-(minus(_230585, n1) = pred(_230585))], (758 ^ _199933) ^ [_230668] : [-(pred(succ(_230668)) = _230668)], (760 ^ _199933) ^ [_230750] : [-(succ(pred(_230750)) = _230750)], (762 ^ _199933) ^ [_230890, _230892] : [leq(succ(_230892), succ(_230890)), -(leq(_230892, _230890))], (768 ^ _199933) ^ [_231060, _231062] : [leq(_231062, _231060), -(leq(succ(_231062), succ(_231060)))], (774 ^ _199933) ^ [_231280, _231282] : [leq(succ(_231282), _231280), -(gt(_231280, _231282))], (780 ^ _199933) ^ [_231494, _231496] : [leq(minus(_231496, _231494), _231496), -(leq(n0, _231494))], (786 ^ _199933) ^ [_231723, _231725, _231727, _231729] : [-(a_select3(tptp_update3(_231729, _231727, _231725, _231723), _231727, _231725) = _231723)], (788 ^ _199933) ^ [_231915, _231917, _231919, _231921, _231923, _231925, _231927] : [-(a_select3(tptp_update3(_231919, _231927, _231925, _231915), _231923, _231921) = _231917), -(_231927 = _231923), _231925 = _231921, a_select3(_231919, _231923, _231921) = _231917], (802 ^ _199933) ^ [_232458, _232460, _232462, _232464, _232466, _232468] : [-(a_select3(tptp_update3(_232460, _232464, _232462, _232458), _232468, _232466) = _232458), 807 ^ _199933 : [(808 ^ _199933) ^ [] : [-(leq(n0, 805 ^ [_232458, _232460, _232462, _232464, _232466, _232468]))], (810 ^ _199933) ^ [] : [-(leq(n0, 806 ^ [_232458, _232460, _232462, _232464, _232466, _232468]))], (812 ^ _199933) ^ [] : [-(leq(805 ^ [_232458, _232460, _232462, _232464, _232466, _232468], _232464))], (814 ^ _199933) ^ [] : [-(leq(806 ^ [_232458, _232460, _232462, _232464, _232466, _232468], _232462))], (816 ^ _199933) ^ [] : [a_select3(_232460, 805 ^ [_232458, _232460, _232462, _232464, _232466, _232468], 806 ^ [_232458, _232460, _232462, _232464, _232466, _232468]) = _232458]], leq(n0, _232468), leq(_232468, _232464), leq(n0, _232466), leq(_232466, _232462)], (834 ^ _199933) ^ [_233800, _233802, _233804] : [-(a_select2(tptp_update2(_233804, _233802, _233800), _233802) = _233800)], (836 ^ _199933) ^ [_233960, _233962, _233964, _233966, _233968] : [-(a_select2(tptp_update2(_233964, _233968, _233960), _233966) = _233962), -(_233968 = _233966), a_select2(_233964, _233966) = _233962], (865 ^ _199933) ^ [] : [-(true)], (867 ^ _199933) ^ [] : [def = use], (846 ^ _199933) ^ [_234340, _234342, _234344, _234346] : [-(a_select2(tptp_update2(_234342, _234344, _234340), _234346) = _234340), 850 ^ _199933 : [(851 ^ _199933) ^ [] : [-(leq(n0, 849 ^ [_234340, _234342, _234344, _234346]))], (853 ^ _199933) ^ [] : [-(leq(849 ^ [_234340, _234342, _234344, _234346], _234344))], (855 ^ _199933) ^ [] : [a_select2(_234342, 849 ^ [_234340, _234342, _234344, _234346]) = _234340]], leq(n0, _234346), leq(_234346, _234344)]], input).
% 0.20/1.30  ncf('1',plain,[leq(n0, pv10), leq(n0, pv41), leq(n0, pv43), leq(pv10, minus(n135300, n1)), leq(pv41, minus(n5, n1)), leq(pv43, minus(n5, n1))],start(1067 ^ 0)).
% 0.20/1.30  ncf('1.1',plain,[-(leq(n0, pv10))],extension(1055 ^ 1)).
% 0.20/1.30  ncf('1.2',plain,[-(leq(n0, pv41))],extension(1057 ^ 1)).
% 0.20/1.30  ncf('1.3',plain,[-(leq(n0, pv43))],extension(1059 ^ 1)).
% 0.20/1.30  ncf('1.4',plain,[-(leq(pv10, minus(n135300, n1)))],extension(1061 ^ 1)).
% 0.20/1.30  ncf('1.5',plain,[-(leq(pv41, minus(n5, n1)))],extension(1063 ^ 1)).
% 0.20/1.30  ncf('1.6',plain,[-(leq(pv43, minus(n5, n1)))],extension(1065 ^ 1)).
% 0.20/1.30  %-----------------------------------------------------
% 0.20/1.30  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------