%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.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 12:20:06 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV174+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 02:45:18 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(1089 ^ _203210) ^ [] : [-(leq(n0, 1086 ^ []))], (1091 ^ _203210) ^ [] : [-(leq(n0, 1087 ^ []))], (1093 ^ _203210) ^ [] : [-(leq(1086 ^ [], n135299))], (1095 ^ _203210) ^ [] : [-(leq(1087 ^ [], n4))], (1097 ^ _203210) ^ [] : [-(gt(pv10, 1086 ^ []))], (1099 ^ _203210) ^ [] : [a_select3(q_init, 1086 ^ [], 1087 ^ []) = init], (1055 ^ _203210) ^ [] : [-(leq(n0, pv10))], (1057 ^ _203210) ^ [] : [-(leq(pv10, n135299))], (1077 ^ _203210) ^ [_244142] : [-(a_select3(center_init, _244142, n0) = init), leq(n0, _244142), leq(_244142, n4)], (1059 ^ _203210) ^ [_243632] : [leq(n0, _243632), leq(_243632, pred(pv10)), 1066 ^ _203210 : [(1067 ^ _203210) ^ [_243860] : [-(a_select3(q_init, _243632, _243860) = init), leq(n0, _243860), leq(_243860, n4)]]], (2 ^ _203210) ^ [_203354] : [-(_203354 = _203354)], (4 ^ _203210) ^ [_203461, _203463] : [_203463 = _203461, -(_203461 = _203463)], (10 ^ _203210) ^ [_203665, _203667, _203669] : [-(_203669 = _203665), _203669 = _203667, _203667 = _203665], (20 ^ _203210) ^ [_204006, _204008, _204010, _204012] : [-(lt(_204010, _204006)), lt(_204012, _204008), _204012 = _204010, _204008 = _204006], (34 ^ _203210) ^ [_204450, _204452, _204454, _204456] : [-(geq(_204454, _204450)), geq(_204456, _204452), _204456 = _204454, _204452 = _204450], (48 ^ _203210) ^ [_204894, _204896, _204898, _204900] : [-(leq(_204898, _204894)), leq(_204900, _204896), _204900 = _204898, _204896 = _204894], (62 ^ _203210) ^ [_205318, _205320, _205322, _205324] : [-(gt(_205322, _205318)), gt(_205324, _205320), _205324 = _205322, _205320 = _205318], (76 ^ _203210) ^ [_205774, _205776, _205778, _205780] : [-(uniform_int_rnd(_205780, _205776) = uniform_int_rnd(_205778, _205774)), _205780 = _205778, _205776 = _205774], (86 ^ _203210) ^ [_206133, _206135, _206137, _206139] : [-(tptp_const_array1(_206139, _206135) = tptp_const_array1(_206137, _206133)), _206139 = _206137, _206135 = _206133], (96 ^ _203210) ^ [_206520, _206522, _206524, _206526, _206528, _206530] : [-(tptp_const_array2(_206530, _206526, _206522) = tptp_const_array2(_206528, _206524, _206520)), _206530 = _206528, _206526 = _206524, _206522 = _206520], (110 ^ _203210) ^ [_207008, _207010, _207012, _207014] : [-(dim(_207014, _207010) = dim(_207012, _207008)), _207014 = _207012, _207010 = _207008], (120 ^ _203210) ^ [_207339, _207341] : [_207341 = _207339, -(inv(_207341) = inv(_207339))], (126 ^ _203210) ^ [_207585, _207587, _207589, _207591] : [-(tptp_msub(_207591, _207587) = tptp_msub(_207589, _207585)), _207591 = _207589, _207587 = _207585], (136 ^ _203210) ^ [_207944, _207946, _207948, _207950] : [-(tptp_madd(_207950, _207946) = tptp_madd(_207948, _207944)), _207950 = _207948, _207946 = _207944], (146 ^ _203210) ^ [_208303, _208305, _208307, _208309] : [-(tptp_mmul(_208309, _208305) = tptp_mmul(_208307, _208303)), _208309 = _208307, _208305 = _208303], (156 ^ _203210) ^ [_208634, _208636] : [_208636 = _208634, -(trans(_208636) = trans(_208634))], (162 ^ _203210) ^ [_208908, _208910, _208912, _208914, _208916, _208918] : [-(sum(_208918, _208914, _208910) = sum(_208916, _208912, _208908)), _208918 = _208916, _208914 = _208912, _208910 = _208908], (176 ^ _203210) ^ [_209396, _209398, _209400, _209402] : [-(plus(_209402, _209398) = plus(_209400, _209396)), _209402 = _209400, _209398 = _209396], (186 ^ _203210) ^ [_209755, _209757, _209759, _209761] : [-(minus(_209761, _209757) = minus(_209759, _209755)), _209761 = _209759, _209757 = _209755], (196 ^ _203210) ^ [_210170, _210172, _210174, _210176, _210178, _210180, _210182, _210184] : [-(tptp_update3(_210184, _210180, _210176, _210172) = tptp_update3(_210182, _210178, _210174, _210170)), _210184 = _210182, _210180 = _210178, _210176 = _210174, _210172 = _210170], (214 ^ _203210) ^ [_210803, _210805, _210807, _210809] : [-(a_select2(_210809, _210805) = a_select2(_210807, _210803)), _210809 = _210807, _210805 = _210803], (224 ^ _203210) ^ [_211190, _211192, _211194, _211196, _211198, _211200] : [-(tptp_update2(_211200, _211196, _211192) = tptp_update2(_211198, _211194, _211190)), _211200 = _211198, _211196 = _211194, _211192 = _211190], (238 ^ _203210) ^ [_211650, _211652] : [_211652 = _211650, -(succ(_211652) = succ(_211650))], (244 ^ _203210) ^ [_211868, _211870] : [_211870 = _211868, -(pred(_211870) = pred(_211868))], (250 ^ _203210) ^ [_212122, _212124, _212126, _212128, _212130, _212132] : [-(a_select3(_212132, _212128, _212124) = a_select3(_212130, _212126, _212122)), _212132 = _212130, _212128 = _212126, _212124 = _212122], (869 ^ _203210) ^ [] : [-(gt(n5, n4))], (871 ^ _203210) ^ [] : [-(gt(n135299, n4))], (873 ^ _203210) ^ [] : [-(gt(n135299, n5))], (875 ^ _203210) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _203210) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _203210) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _203210) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _203210) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _203210) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _203210) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _203210) ^ [] : [-(gt(n4, n0))], (891 ^ _203210) ^ [] : [-(gt(n5, n0))], (893 ^ _203210) ^ [] : [-(gt(n135299, n0))], (895 ^ _203210) ^ [] : [-(gt(n1, n0))], (897 ^ _203210) ^ [] : [-(gt(n2, n0))], (899 ^ _203210) ^ [] : [-(gt(n3, n0))], (901 ^ _203210) ^ [] : [-(gt(n4, n1))], (903 ^ _203210) ^ [] : [-(gt(n5, n1))], (905 ^ _203210) ^ [] : [-(gt(n135299, n1))], (907 ^ _203210) ^ [] : [-(gt(n2, n1))], (909 ^ _203210) ^ [] : [-(gt(n3, n1))], (911 ^ _203210) ^ [] : [-(gt(n4, n2))], (913 ^ _203210) ^ [] : [-(gt(n5, n2))], (915 ^ _203210) ^ [] : [-(gt(n135299, n2))], (917 ^ _203210) ^ [] : [-(gt(n3, n2))], (919 ^ _203210) ^ [] : [-(gt(n4, n3))], (921 ^ _203210) ^ [] : [-(gt(n5, n3))], (923 ^ _203210) ^ [] : [-(gt(n135299, n3))], (925 ^ _203210) ^ [_240091] : [leq(n0, _240091), leq(_240091, n4), -(_240091 = n0), -(_240091 = n1), -(_240091 = n2), -(_240091 = n3), -(_240091 = n4)], (951 ^ _203210) ^ [_240712] : [leq(n0, _240712), leq(_240712, n5), -(_240712 = n0), -(_240712 = n1), -(_240712 = n2), -(_240712 = n3), -(_240712 = n4), -(_240712 = n5)], (981 ^ _203210) ^ [_241419] : [-(_241419 = n0), leq(n0, _241419), leq(_241419, n0)], (991 ^ _203210) ^ [_241694] : [leq(n0, _241694), leq(_241694, n1), -(_241694 = n0), -(_241694 = n1)], (1005 ^ _203210) ^ [_242057] : [leq(n0, _242057), leq(_242057, n2), -(_242057 = n0), -(_242057 = n1), -(_242057 = n2)], (1045 ^ _203210) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _203210) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _203210) ^ [] : [-(succ(n0) = n1)], (1051 ^ _203210) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _203210) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _203210) ^ [_242506] : [leq(n0, _242506), leq(_242506, n3), -(_242506 = n0), -(_242506 = n1), -(_242506 = n2), -(_242506 = n3)], (264 ^ _203210) ^ [_212682, _212684] : [-(gt(_212684, _212682)), -(gt(_212682, _212684)), -(_212684 = _212682)], (274 ^ _203210) ^ [_212997, _212999, _213001] : [-(gt(_213001, _212997)), gt(_213001, _212999), gt(_212999, _212997)], (284 ^ _203210) ^ [_213276] : [gt(_213276, _213276)], (286 ^ _203210) ^ [_213354] : [-(leq(_213354, _213354))], (288 ^ _203210) ^ [_213475, _213477, _213479] : [-(leq(_213479, _213475)), leq(_213479, _213477), leq(_213477, _213475)], (298 ^ _203210) ^ [_213813, _213815] : [lt(_213815, _213813), -(gt(_213813, _213815))], (304 ^ _203210) ^ [_213975, _213977] : [gt(_213975, _213977), -(lt(_213977, _213975))], (310 ^ _203210) ^ [_214216, _214218] : [geq(_214218, _214216), -(leq(_214216, _214218))], (316 ^ _203210) ^ [_214378, _214380] : [leq(_214378, _214380), -(geq(_214380, _214378))], (322 ^ _203210) ^ [_214590, _214592] : [gt(_214590, _214592), -(leq(_214592, _214590))], (328 ^ _203210) ^ [_214800, _214802] : [-(gt(_214800, _214802)), leq(_214802, _214800), -(_214802 = _214800)], (338 ^ _203210) ^ [_215131, _215133] : [leq(_215133, pred(_215131)), -(gt(_215131, _215133))], (344 ^ _203210) ^ [_215297, _215299] : [gt(_215297, _215299), -(leq(_215299, pred(_215297)))], (350 ^ _203210) ^ [_215484] : [-(gt(succ(_215484), _215484))], (352 ^ _203210) ^ [_215593, _215595] : [leq(_215595, _215593), -(leq(_215595, succ(_215593)))], (358 ^ _203210) ^ [_215836, _215838] : [leq(_215838, _215836), -(gt(succ(_215836), _215838))], (364 ^ _203210) ^ [_216002, _216004] : [gt(succ(_216002), _216004), -(leq(_216004, _216002))], (370 ^ _203210) ^ [_216218, _216220] : [leq(n0, _216220), -(leq(uniform_int_rnd(_216218, _216220), _216220))], (376 ^ _203210) ^ [_216434, _216436] : [leq(n0, _216436), -(leq(n0, uniform_int_rnd(_216434, _216436)))], (382 ^ _203210) ^ [_216678, _216680, _216682, _216684] : [-(a_select2(tptp_const_array1(dim(_216682, _216680), _216678), _216684) = _216678), leq(_216682, _216684), leq(_216684, _216680)], (392 ^ _203210) ^ [_217085, _217087, _217089, _217091, _217093, _217095, _217097] : [-(a_select3(tptp_const_array2(dim(_217095, _217093), dim(_217089, _217087), _217085), _217097, _217091) = _217085), leq(_217095, _217097), leq(_217097, _217093), leq(_217089, _217091), leq(_217091, _217087)], (410 ^ _203210) ^ [_217680, _217682] : [413 ^ _203210 : [(414 ^ _203210) ^ [] : [-(leq(n0, 411 ^ [_217680, _217682]))], (416 ^ _203210) ^ [] : [-(leq(411 ^ [_217680, _217682], _217680))], (418 ^ _203210) ^ [] : [-(leq(n0, 412 ^ [_217680, _217682]))], (420 ^ _203210) ^ [] : [-(leq(412 ^ [_217680, _217682], _217680))], (422 ^ _203210) ^ [] : [a_select3(_217682, 411 ^ [_217680, _217682], 412 ^ [_217680, _217682]) = a_select3(_217682, 412 ^ [_217680, _217682], 411 ^ [_217680, _217682])]], 423 ^ _203210 : [(424 ^ _203210) ^ [_218437, _218439] : [-(a_select3(trans(_217682), _218439, _218437) = a_select3(trans(_217682), _218437, _218439)), leq(n0, _218439), leq(_218439, _217680), leq(n0, _218437), leq(_218437, _217680)]]], (442 ^ _203210) ^ [_218984, _218986] : [445 ^ _203210 : [(446 ^ _203210) ^ [] : [-(leq(n0, 443 ^ [_218984, _218986]))], (448 ^ _203210) ^ [] : [-(leq(443 ^ [_218984, _218986], _218984))], (450 ^ _203210) ^ [] : [-(leq(n0, 444 ^ [_218984, _218986]))], (452 ^ _203210) ^ [] : [-(leq(444 ^ [_218984, _218986], _218984))], (454 ^ _203210) ^ [] : [a_select3(_218986, 443 ^ [_218984, _218986], 444 ^ [_218984, _218986]) = a_select3(_218986, 444 ^ [_218984, _218986], 443 ^ [_218984, _218986])]], 455 ^ _203210 : [(456 ^ _203210) ^ [_219741, _219743] : [-(a_select3(inv(_218986), _219743, _219741) = a_select3(inv(_218986), _219741, _219743)), leq(n0, _219743), leq(_219743, _218984), leq(n0, _219741), leq(_219741, _218984)]]], (474 ^ _203210) ^ [_220288, _220290] : [477 ^ _203210 : [(478 ^ _203210) ^ [] : [-(leq(n0, 475 ^ [_220288, _220290]))], (480 ^ _203210) ^ [] : [-(leq(475 ^ [_220288, _220290], _220288))], (482 ^ _203210) ^ [] : [-(leq(n0, 476 ^ [_220288, _220290]))], (484 ^ _203210) ^ [] : [-(leq(476 ^ [_220288, _220290], _220288))], (486 ^ _203210) ^ [] : [a_select3(_220290, 475 ^ [_220288, _220290], 476 ^ [_220288, _220290]) = a_select3(_220290, 476 ^ [_220288, _220290], 475 ^ [_220288, _220290])]], 487 ^ _203210 : [(488 ^ _203210) ^ [_221101, _221103, _221105, _221107] : [-(a_select3(tptp_update3(_220290, _221103, _221103, _221101), _221107, _221105) = a_select3(tptp_update3(_220290, _221103, _221103, _221101), _221105, _221107)), leq(n0, _221107), leq(_221107, _220288), leq(n0, _221105), leq(_221105, _220288), leq(n0, _221103), leq(_221103, _220288)]]], (514 ^ _203210) ^ [_221920, _221922, _221924] : [519 ^ _203210 : [(520 ^ _203210) ^ [] : [-(leq(n0, 517 ^ [_221920, _221922, _221924]))], (522 ^ _203210) ^ [] : [-(leq(517 ^ [_221920, _221922, _221924], _221920))], (524 ^ _203210) ^ [] : [-(leq(n0, 518 ^ [_221920, _221922, _221924]))], (526 ^ _203210) ^ [] : [-(leq(518 ^ [_221920, _221922, _221924], _221920))], (528 ^ _203210) ^ [] : [a_select3(_221924, 517 ^ [_221920, _221922, _221924], 518 ^ [_221920, _221922, _221924]) = a_select3(_221924, 518 ^ [_221920, _221922, _221924], 517 ^ [_221920, _221922, _221924])]], 531 ^ _203210 : [(532 ^ _203210) ^ [] : [-(leq(n0, 529 ^ [_221920, _221922, _221924]))], (534 ^ _203210) ^ [] : [-(leq(529 ^ [_221920, _221922, _221924], _221920))], (536 ^ _203210) ^ [] : [-(leq(n0, 530 ^ [_221920, _221922, _221924]))], (538 ^ _203210) ^ [] : [-(leq(530 ^ [_221920, _221922, _221924], _221920))], (540 ^ _203210) ^ [] : [a_select3(_221922, 529 ^ [_221920, _221922, _221924], 530 ^ [_221920, _221922, _221924]) = a_select3(_221922, 530 ^ [_221920, _221922, _221924], 529 ^ [_221920, _221922, _221924])]], 541 ^ _203210 : [(542 ^ _203210) ^ [_223429, _223431] : [-(a_select3(tptp_madd(_221924, _221922), _223431, _223429) = a_select3(tptp_madd(_221924, _221922), _223429, _223431)), leq(n0, _223431), leq(_223431, _221920), leq(n0, _223429), leq(_223429, _221920)]]], (560 ^ _203210) ^ [_224015, _224017, _224019] : [565 ^ _203210 : [(566 ^ _203210) ^ [] : [-(leq(n0, 563 ^ [_224015, _224017, _224019]))], (568 ^ _203210) ^ [] : [-(leq(563 ^ [_224015, _224017, _224019], _224015))], (570 ^ _203210) ^ [] : [-(leq(n0, 564 ^ [_224015, _224017, _224019]))], (572 ^ _203210) ^ [] : [-(leq(564 ^ [_224015, _224017, _224019], _224015))], (574 ^ _203210) ^ [] : [a_select3(_224019, 563 ^ [_224015, _224017, _224019], 564 ^ [_224015, _224017, _224019]) = a_select3(_224019, 564 ^ [_224015, _224017, _224019], 563 ^ [_224015, _224017, _224019])]], 577 ^ _203210 : [(578 ^ _203210) ^ [] : [-(leq(n0, 575 ^ [_224015, _224017, _224019]))], (580 ^ _203210) ^ [] : [-(leq(575 ^ [_224015, _224017, _224019], _224015))], (582 ^ _203210) ^ [] : [-(leq(n0, 576 ^ [_224015, _224017, _224019]))], (584 ^ _203210) ^ [] : [-(leq(576 ^ [_224015, _224017, _224019], _224015))], (586 ^ _203210) ^ [] : [a_select3(_224017, 575 ^ [_224015, _224017, _224019], 576 ^ [_224015, _224017, _224019]) = a_select3(_224017, 576 ^ [_224015, _224017, _224019], 575 ^ [_224015, _224017, _224019])]], 587 ^ _203210 : [(588 ^ _203210) ^ [_225524, _225526] : [-(a_select3(tptp_msub(_224019, _224017), _225526, _225524) = a_select3(tptp_msub(_224019, _224017), _225524, _225526)), leq(n0, _225526), leq(_225526, _224015), leq(n0, _225524), leq(_225524, _224015)]]], (606 ^ _203210) ^ [_226110, _226112, _226114] : [609 ^ _203210 : [(610 ^ _203210) ^ [] : [-(leq(n0, 607 ^ [_226110, _226112, _226114]))], (612 ^ _203210) ^ [] : [-(leq(607 ^ [_226110, _226112, _226114], _226110))], (614 ^ _203210) ^ [] : [-(leq(n0, 608 ^ [_226110, _226112, _226114]))], (616 ^ _203210) ^ [] : [-(leq(608 ^ [_226110, _226112, _226114], _226110))], (618 ^ _203210) ^ [] : [a_select3(_226112, 607 ^ [_226110, _226112, _226114], 608 ^ [_226110, _226112, _226114]) = a_select3(_226112, 608 ^ [_226110, _226112, _226114], 607 ^ [_226110, _226112, _226114])]], 619 ^ _203210 : [(620 ^ _203210) ^ [_226923, _226925] : [-(a_select3(tptp_mmul(_226114, tptp_mmul(_226112, trans(_226114))), _226925, _226923) = a_select3(tptp_mmul(_226114, tptp_mmul(_226112, trans(_226114))), _226923, _226925)), leq(n0, _226925), leq(_226925, _226110), leq(n0, _226923), leq(_226923, _226110)]]], (638 ^ _203210) ^ [_227542, _227544, _227546, _227548] : [641 ^ _203210 : [(642 ^ _203210) ^ [] : [-(leq(n0, 639 ^ [_227542, _227544, _227546, _227548]))], (644 ^ _203210) ^ [] : [-(leq(639 ^ [_227542, _227544, _227546, _227548], _227542))], (646 ^ _203210) ^ [] : [-(leq(n0, 640 ^ [_227542, _227544, _227546, _227548]))], (648 ^ _203210) ^ [] : [-(leq(640 ^ [_227542, _227544, _227546, _227548], _227542))], (650 ^ _203210) ^ [] : [a_select3(_227546, 639 ^ [_227542, _227544, _227546, _227548], 640 ^ [_227542, _227544, _227546, _227548]) = a_select3(_227546, 640 ^ [_227542, _227544, _227546, _227548], 639 ^ [_227542, _227544, _227546, _227548])]], 651 ^ _203210 : [(652 ^ _203210) ^ [_228399, _228401] : [-(a_select3(tptp_mmul(_227548, tptp_mmul(_227546, trans(_227548))), _228401, _228399) = a_select3(tptp_mmul(_227548, tptp_mmul(_227546, trans(_227548))), _228399, _228401)), leq(n0, _228401), leq(_228401, _227544), leq(n0, _228399), leq(_228399, _227544)]]], (670 ^ _203210) ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108] : [675 ^ _203210 : [(676 ^ _203210) ^ [] : [-(leq(n0, 673 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (678 ^ _203210) ^ [] : [-(leq(673 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229094))], (680 ^ _203210) ^ [] : [-(leq(n0, 674 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (682 ^ _203210) ^ [] : [-(leq(674 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229094))], (684 ^ _203210) ^ [] : [a_select3(_229102, 673 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 674 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]) = a_select3(_229102, 674 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 673 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108])]], 689 ^ _203210 : [(690 ^ _203210) ^ [] : [-(leq(n0, 687 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (692 ^ _203210) ^ [] : [-(leq(687 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229096))], (694 ^ _203210) ^ [] : [-(leq(n0, 688 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (696 ^ _203210) ^ [] : [-(leq(688 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229096))], (698 ^ _203210) ^ [] : [a_select3(_229108, 687 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 688 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]) = a_select3(_229108, 688 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 687 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108])]], 701 ^ _203210 : [(702 ^ _203210) ^ [] : [-(leq(n0, 699 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (704 ^ _203210) ^ [] : [-(leq(699 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229096))], (706 ^ _203210) ^ [] : [-(leq(n0, 700 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]))], (708 ^ _203210) ^ [] : [-(leq(700 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], _229096))], (710 ^ _203210) ^ [] : [a_select3(_229098, 699 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 700 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108]) = a_select3(_229098, 700 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108], 699 ^ [_229094, _229096, _229098, _229100, _229102, _229104, _229106, _229108])]], 711 ^ _203210 : [(712 ^ _203210) ^ [_232022, _232024] : [-(a_select3(tptp_madd(_229108, tptp_mmul(_229106, tptp_mmul(tptp_madd(tptp_mmul(_229104, tptp_mmul(_229102, trans(_229104))), tptp_mmul(_229100, tptp_mmul(_229098, trans(_229100)))), trans(_229106)))), _232024, _232022) = a_select3(tptp_madd(_229108, tptp_mmul(_229106, tptp_mmul(tptp_madd(tptp_mmul(_229104, tptp_mmul(_229102, trans(_229104))), tptp_mmul(_229100, tptp_mmul(_229098, trans(_229100)))), trans(_229106)))), _232022, _232024)), leq(n0, _232024), leq(_232024, _229096), leq(n0, _232022), leq(_232022, _229096)]]], (730 ^ _203210) ^ [_232775] : [-(sum(n0, tptp_minus_1, _232775) = n0)], (732 ^ _203210) ^ [_232857] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _232857))], (734 ^ _203210) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _203210) ^ [_232992] : [-(plus(_232992, n1) = succ(_232992))], (738 ^ _203210) ^ [_233075] : [-(plus(n1, _233075) = succ(_233075))], (740 ^ _203210) ^ [_233158] : [-(plus(_233158, n2) = succ(succ(_233158)))], (742 ^ _203210) ^ [_233243] : [-(plus(n2, _233243) = succ(succ(_233243)))], (744 ^ _203210) ^ [_233328] : [-(plus(_233328, n3) = succ(succ(succ(_233328))))], (746 ^ _203210) ^ [_233415] : [-(plus(n3, _233415) = succ(succ(succ(_233415))))], (748 ^ _203210) ^ [_233502] : [-(plus(_233502, n4) = succ(succ(succ(succ(_233502)))))], (750 ^ _203210) ^ [_233591] : [-(plus(n4, _233591) = succ(succ(succ(succ(_233591)))))], (752 ^ _203210) ^ [_233680] : [-(plus(_233680, n5) = succ(succ(succ(succ(succ(_233680))))))], (754 ^ _203210) ^ [_233771] : [-(plus(n5, _233771) = succ(succ(succ(succ(succ(_233771))))))], (756 ^ _203210) ^ [_233862] : [-(minus(_233862, n1) = pred(_233862))], (758 ^ _203210) ^ [_233945] : [-(pred(succ(_233945)) = _233945)], (760 ^ _203210) ^ [_234027] : [-(succ(pred(_234027)) = _234027)], (762 ^ _203210) ^ [_234167, _234169] : [leq(succ(_234169), succ(_234167)), -(leq(_234169, _234167))], (768 ^ _203210) ^ [_234337, _234339] : [leq(_234339, _234337), -(leq(succ(_234339), succ(_234337)))], (774 ^ _203210) ^ [_234557, _234559] : [leq(succ(_234559), _234557), -(gt(_234557, _234559))], (780 ^ _203210) ^ [_234771, _234773] : [leq(minus(_234773, _234771), _234773), -(leq(n0, _234771))], (786 ^ _203210) ^ [_235000, _235002, _235004, _235006] : [-(a_select3(tptp_update3(_235006, _235004, _235002, _235000), _235004, _235002) = _235000)], (788 ^ _203210) ^ [_235192, _235194, _235196, _235198, _235200, _235202, _235204] : [-(a_select3(tptp_update3(_235196, _235204, _235202, _235192), _235200, _235198) = _235194), -(_235204 = _235200), _235202 = _235198, a_select3(_235196, _235200, _235198) = _235194], (802 ^ _203210) ^ [_235735, _235737, _235739, _235741, _235743, _235745] : [-(a_select3(tptp_update3(_235737, _235741, _235739, _235735), _235745, _235743) = _235735), 807 ^ _203210 : [(808 ^ _203210) ^ [] : [-(leq(n0, 805 ^ [_235735, _235737, _235739, _235741, _235743, _235745]))], (810 ^ _203210) ^ [] : [-(leq(n0, 806 ^ [_235735, _235737, _235739, _235741, _235743, _235745]))], (812 ^ _203210) ^ [] : [-(leq(805 ^ [_235735, _235737, _235739, _235741, _235743, _235745], _235741))], (814 ^ _203210) ^ [] : [-(leq(806 ^ [_235735, _235737, _235739, _235741, _235743, _235745], _235739))], (816 ^ _203210) ^ [] : [a_select3(_235737, 805 ^ [_235735, _235737, _235739, _235741, _235743, _235745], 806 ^ [_235735, _235737, _235739, _235741, _235743, _235745]) = _235735]], leq(n0, _235745), leq(_235745, _235741), leq(n0, _235743), leq(_235743, _235739)], (834 ^ _203210) ^ [_237077, _237079, _237081] : [-(a_select2(tptp_update2(_237081, _237079, _237077), _237079) = _237077)], (836 ^ _203210) ^ [_237237, _237239, _237241, _237243, _237245] : [-(a_select2(tptp_update2(_237241, _237245, _237237), _237243) = _237239), -(_237245 = _237243), a_select2(_237241, _237243) = _237239], (865 ^ _203210) ^ [] : [-(true)], (867 ^ _203210) ^ [] : [def = use], (846 ^ _203210) ^ [_237617, _237619, _237621, _237623] : [-(a_select2(tptp_update2(_237619, _237621, _237617), _237623) = _237617), 850 ^ _203210 : [(851 ^ _203210) ^ [] : [-(leq(n0, 849 ^ [_237617, _237619, _237621, _237623]))], (853 ^ _203210) ^ [] : [-(leq(849 ^ [_237617, _237619, _237621, _237623], _237621))], (855 ^ _203210) ^ [] : [a_select2(_237619, 849 ^ [_237617, _237619, _237621, _237623]) = _237617]], leq(n0, _237623), leq(_237623, _237621)]], input).
% 0.33/1.37  ncf('1',plain,[a_select3(q_init, 1086 ^ [], 1087 ^ []) = init],start(1099 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(a_select3(q_init, 1086 ^ [], 1087 ^ []) = init), 1067 : leq(n0, 1087 ^ []), 1067 : leq(1087 ^ [], n4), 1067 : leq(n0, 1086 ^ []), 1067 : leq(1086 ^ [], pred(pv10))],extension(1059 ^ 1,bind([[_243632, _243860], [1086 ^ [], 1087 ^ []]]))).
% 0.33/1.37  ncf('1.1.1',plain,[-(leq(n0, 1087 ^ []))],extension(1091 ^ 4)).
% 0.33/1.37  ncf('1.1.2',plain,[-(leq(1087 ^ [], n4))],extension(1095 ^ 4)).
% 0.33/1.37  ncf('1.1.3',plain,[-(leq(n0, 1086 ^ []))],extension(1089 ^ 2)).
% 0.33/1.37  ncf('1.1.4',plain,[-(leq(1086 ^ [], pred(pv10))), gt(pv10, 1086 ^ [])],extension(344 ^ 2,bind([[_215297, _215299], [pv10, 1086 ^ []]]))).
% 0.33/1.37  ncf('1.1.4.1',plain,[-(gt(pv10, 1086 ^ []))],extension(1097 ^ 3)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------