%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:20:02 EDT 2023

% Result   : Theorem 27.81s 27.22s
% Output   : Proof 27.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV136+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 02:31:57 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 27.81/27.22  
% 27.81/27.22  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 27.81/27.22  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.81/27.22  %-----------------------------------------------------
% 27.81/27.22  ncf(matrix, plain, [(1041 ^ _201032) ^ [] : [-(leq(n0, s_best7))], (1043 ^ _201032) ^ [] : [-(leq(n0, s_sworst7))], (1045 ^ _201032) ^ [] : [-(leq(n0, s_worst7))], (1047 ^ _201032) ^ [] : [-(leq(n2, pv1325))], (1049 ^ _201032) ^ [] : [-(leq(s_best7, n3))], (1051 ^ _201032) ^ [] : [-(leq(s_sworst7, n3))], (1053 ^ _201032) ^ [] : [-(leq(s_worst7, n3))], (1055 ^ _201032) ^ [] : [-(leq(pv1325, n3))], (1057 ^ _201032) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_best7)))], (1059 ^ _201032) ^ [] : [leq(n0, pv1325)], (2 ^ _201032) ^ [_201176] : [-(_201176 = _201176)], (4 ^ _201032) ^ [_201283, _201285] : [_201285 = _201283, -(_201283 = _201285)], (10 ^ _201032) ^ [_201487, _201489, _201491] : [-(_201491 = _201487), _201491 = _201489, _201489 = _201487], (20 ^ _201032) ^ [_201828, _201830, _201832, _201834] : [-(lt(_201832, _201828)), lt(_201834, _201830), _201834 = _201832, _201830 = _201828], (34 ^ _201032) ^ [_202272, _202274, _202276, _202278] : [-(geq(_202276, _202272)), geq(_202278, _202274), _202278 = _202276, _202274 = _202272], (48 ^ _201032) ^ [_202716, _202718, _202720, _202722] : [-(gt(_202720, _202716)), gt(_202722, _202718), _202722 = _202720, _202718 = _202716], (62 ^ _201032) ^ [_203140, _203142, _203144, _203146] : [-(leq(_203144, _203140)), leq(_203146, _203142), _203146 = _203144, _203142 = _203140], (76 ^ _201032) ^ [_203596, _203598, _203600, _203602] : [-(uniform_int_rnd(_203602, _203598) = uniform_int_rnd(_203600, _203596)), _203602 = _203600, _203598 = _203596], (86 ^ _201032) ^ [_203955, _203957, _203959, _203961] : [-(tptp_const_array1(_203961, _203957) = tptp_const_array1(_203959, _203955)), _203961 = _203959, _203957 = _203955], (96 ^ _201032) ^ [_204342, _204344, _204346, _204348, _204350, _204352] : [-(tptp_const_array2(_204352, _204348, _204344) = tptp_const_array2(_204350, _204346, _204342)), _204352 = _204350, _204348 = _204346, _204344 = _204342], (110 ^ _201032) ^ [_204830, _204832, _204834, _204836] : [-(dim(_204836, _204832) = dim(_204834, _204830)), _204836 = _204834, _204832 = _204830], (120 ^ _201032) ^ [_205161, _205163] : [_205163 = _205161, -(inv(_205163) = inv(_205161))], (126 ^ _201032) ^ [_205407, _205409, _205411, _205413] : [-(tptp_msub(_205413, _205409) = tptp_msub(_205411, _205407)), _205413 = _205411, _205409 = _205407], (136 ^ _201032) ^ [_205766, _205768, _205770, _205772] : [-(tptp_madd(_205772, _205768) = tptp_madd(_205770, _205766)), _205772 = _205770, _205768 = _205766], (146 ^ _201032) ^ [_206125, _206127, _206129, _206131] : [-(tptp_mmul(_206131, _206127) = tptp_mmul(_206129, _206125)), _206131 = _206129, _206127 = _206125], (156 ^ _201032) ^ [_206456, _206458] : [_206458 = _206456, -(trans(_206458) = trans(_206456))], (162 ^ _201032) ^ [_206730, _206732, _206734, _206736, _206738, _206740] : [-(sum(_206740, _206736, _206732) = sum(_206738, _206734, _206730)), _206740 = _206738, _206736 = _206734, _206732 = _206730], (176 ^ _201032) ^ [_207218, _207220, _207222, _207224] : [-(plus(_207224, _207220) = plus(_207222, _207218)), _207224 = _207222, _207220 = _207218], (186 ^ _201032) ^ [_207549, _207551] : [_207551 = _207549, -(pred(_207551) = pred(_207549))], (192 ^ _201032) ^ [_207795, _207797, _207799, _207801] : [-(minus(_207801, _207797) = minus(_207799, _207795)), _207801 = _207799, _207797 = _207795], (202 ^ _201032) ^ [_208182, _208184, _208186, _208188, _208190, _208192] : [-(a_select3(_208192, _208188, _208184) = a_select3(_208190, _208186, _208182)), _208192 = _208190, _208188 = _208186, _208184 = _208182], (216 ^ _201032) ^ [_208726, _208728, _208730, _208732, _208734, _208736, _208738, _208740] : [-(tptp_update3(_208740, _208736, _208732, _208728) = tptp_update3(_208738, _208734, _208730, _208726)), _208740 = _208738, _208736 = _208734, _208732 = _208730, _208728 = _208726], (234 ^ _201032) ^ [_209387, _209389, _209391, _209393, _209395, _209397] : [-(tptp_update2(_209397, _209393, _209389) = tptp_update2(_209395, _209391, _209387)), _209397 = _209395, _209393 = _209391, _209389 = _209387], (248 ^ _201032) ^ [_209847, _209849] : [_209849 = _209847, -(succ(_209849) = succ(_209847))], (254 ^ _201032) ^ [_210073, _210075, _210077, _210079] : [-(a_select2(_210079, _210075) = a_select2(_210077, _210073)), _210079 = _210077, _210075 = _210073], (869 ^ _201032) ^ [] : [-(gt(n5, n4))], (871 ^ _201032) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _201032) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _201032) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _201032) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _201032) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _201032) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _201032) ^ [] : [-(gt(n4, n0))], (885 ^ _201032) ^ [] : [-(gt(n5, n0))], (887 ^ _201032) ^ [] : [-(gt(n1, n0))], (889 ^ _201032) ^ [] : [-(gt(n2, n0))], (891 ^ _201032) ^ [] : [-(gt(n3, n0))], (893 ^ _201032) ^ [] : [-(gt(n4, n1))], (895 ^ _201032) ^ [] : [-(gt(n5, n1))], (897 ^ _201032) ^ [] : [-(gt(n2, n1))], (899 ^ _201032) ^ [] : [-(gt(n3, n1))], (901 ^ _201032) ^ [] : [-(gt(n4, n2))], (903 ^ _201032) ^ [] : [-(gt(n5, n2))], (905 ^ _201032) ^ [] : [-(gt(n3, n2))], (907 ^ _201032) ^ [] : [-(gt(n4, n3))], (909 ^ _201032) ^ [] : [-(gt(n5, n3))], (911 ^ _201032) ^ [_237542] : [leq(n0, _237542), leq(_237542, n4), -(_237542 = n0), -(_237542 = n1), -(_237542 = n2), -(_237542 = n3), -(_237542 = n4)], (937 ^ _201032) ^ [_238163] : [leq(n0, _238163), leq(_238163, n5), -(_238163 = n0), -(_238163 = n1), -(_238163 = n2), -(_238163 = n3), -(_238163 = n4), -(_238163 = n5)], (967 ^ _201032) ^ [_238870] : [-(_238870 = n0), leq(n0, _238870), leq(_238870, n0)], (977 ^ _201032) ^ [_239145] : [leq(n0, _239145), leq(_239145, n1), -(_239145 = n0), -(_239145 = n1)], (991 ^ _201032) ^ [_239508] : [leq(n0, _239508), leq(_239508, n2), -(_239508 = n0), -(_239508 = n1), -(_239508 = n2)], (1031 ^ _201032) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _201032) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _201032) ^ [] : [-(succ(n0) = n1)], (1037 ^ _201032) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _201032) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _201032) ^ [_239957] : [leq(n0, _239957), leq(_239957, n3), -(_239957 = n0), -(_239957 = n1), -(_239957 = n2), -(_239957 = n3)], (264 ^ _201032) ^ [_210504, _210506] : [-(gt(_210506, _210504)), -(gt(_210504, _210506)), -(_210506 = _210504)], (274 ^ _201032) ^ [_210819, _210821, _210823] : [-(gt(_210823, _210819)), gt(_210823, _210821), gt(_210821, _210819)], (284 ^ _201032) ^ [_211098] : [gt(_211098, _211098)], (286 ^ _201032) ^ [_211176] : [-(leq(_211176, _211176))], (288 ^ _201032) ^ [_211297, _211299, _211301] : [-(leq(_211301, _211297)), leq(_211301, _211299), leq(_211299, _211297)], (298 ^ _201032) ^ [_211635, _211637] : [lt(_211637, _211635), -(gt(_211635, _211637))], (304 ^ _201032) ^ [_211797, _211799] : [gt(_211797, _211799), -(lt(_211799, _211797))], (310 ^ _201032) ^ [_212038, _212040] : [geq(_212040, _212038), -(leq(_212038, _212040))], (316 ^ _201032) ^ [_212200, _212202] : [leq(_212200, _212202), -(geq(_212202, _212200))], (322 ^ _201032) ^ [_212412, _212414] : [gt(_212412, _212414), -(leq(_212414, _212412))], (328 ^ _201032) ^ [_212622, _212624] : [-(gt(_212622, _212624)), leq(_212624, _212622), -(_212624 = _212622)], (338 ^ _201032) ^ [_212953, _212955] : [leq(_212955, pred(_212953)), -(gt(_212953, _212955))], (344 ^ _201032) ^ [_213119, _213121] : [gt(_213119, _213121), -(leq(_213121, pred(_213119)))], (350 ^ _201032) ^ [_213306] : [-(gt(succ(_213306), _213306))], (352 ^ _201032) ^ [_213415, _213417] : [leq(_213417, _213415), -(leq(_213417, succ(_213415)))], (358 ^ _201032) ^ [_213658, _213660] : [leq(_213660, _213658), -(gt(succ(_213658), _213660))], (364 ^ _201032) ^ [_213824, _213826] : [gt(succ(_213824), _213826), -(leq(_213826, _213824))], (370 ^ _201032) ^ [_214040, _214042] : [leq(n0, _214042), -(leq(uniform_int_rnd(_214040, _214042), _214042))], (376 ^ _201032) ^ [_214256, _214258] : [leq(n0, _214258), -(leq(n0, uniform_int_rnd(_214256, _214258)))], (382 ^ _201032) ^ [_214500, _214502, _214504, _214506] : [-(a_select2(tptp_const_array1(dim(_214504, _214502), _214500), _214506) = _214500), leq(_214504, _214506), leq(_214506, _214502)], (392 ^ _201032) ^ [_214907, _214909, _214911, _214913, _214915, _214917, _214919] : [-(a_select3(tptp_const_array2(dim(_214917, _214915), dim(_214911, _214909), _214907), _214919, _214913) = _214907), leq(_214917, _214919), leq(_214919, _214915), leq(_214911, _214913), leq(_214913, _214909)], (410 ^ _201032) ^ [_215502, _215504] : [413 ^ _201032 : [(414 ^ _201032) ^ [] : [-(leq(n0, 411 ^ [_215502, _215504]))], (416 ^ _201032) ^ [] : [-(leq(411 ^ [_215502, _215504], _215502))], (418 ^ _201032) ^ [] : [-(leq(n0, 412 ^ [_215502, _215504]))], (420 ^ _201032) ^ [] : [-(leq(412 ^ [_215502, _215504], _215502))], (422 ^ _201032) ^ [] : [a_select3(_215504, 411 ^ [_215502, _215504], 412 ^ [_215502, _215504]) = a_select3(_215504, 412 ^ [_215502, _215504], 411 ^ [_215502, _215504])]], 423 ^ _201032 : [(424 ^ _201032) ^ [_216259, _216261] : [-(a_select3(trans(_215504), _216261, _216259) = a_select3(trans(_215504), _216259, _216261)), leq(n0, _216261), leq(_216261, _215502), leq(n0, _216259), leq(_216259, _215502)]]], (442 ^ _201032) ^ [_216806, _216808] : [445 ^ _201032 : [(446 ^ _201032) ^ [] : [-(leq(n0, 443 ^ [_216806, _216808]))], (448 ^ _201032) ^ [] : [-(leq(443 ^ [_216806, _216808], _216806))], (450 ^ _201032) ^ [] : [-(leq(n0, 444 ^ [_216806, _216808]))], (452 ^ _201032) ^ [] : [-(leq(444 ^ [_216806, _216808], _216806))], (454 ^ _201032) ^ [] : [a_select3(_216808, 443 ^ [_216806, _216808], 444 ^ [_216806, _216808]) = a_select3(_216808, 444 ^ [_216806, _216808], 443 ^ [_216806, _216808])]], 455 ^ _201032 : [(456 ^ _201032) ^ [_217563, _217565] : [-(a_select3(inv(_216808), _217565, _217563) = a_select3(inv(_216808), _217563, _217565)), leq(n0, _217565), leq(_217565, _216806), leq(n0, _217563), leq(_217563, _216806)]]], (474 ^ _201032) ^ [_218110, _218112] : [477 ^ _201032 : [(478 ^ _201032) ^ [] : [-(leq(n0, 475 ^ [_218110, _218112]))], (480 ^ _201032) ^ [] : [-(leq(475 ^ [_218110, _218112], _218110))], (482 ^ _201032) ^ [] : [-(leq(n0, 476 ^ [_218110, _218112]))], (484 ^ _201032) ^ [] : [-(leq(476 ^ [_218110, _218112], _218110))], (486 ^ _201032) ^ [] : [a_select3(_218112, 475 ^ [_218110, _218112], 476 ^ [_218110, _218112]) = a_select3(_218112, 476 ^ [_218110, _218112], 475 ^ [_218110, _218112])]], 487 ^ _201032 : [(488 ^ _201032) ^ [_218923, _218925, _218927, _218929] : [-(a_select3(tptp_update3(_218112, _218925, _218925, _218923), _218929, _218927) = a_select3(tptp_update3(_218112, _218925, _218925, _218923), _218927, _218929)), leq(n0, _218929), leq(_218929, _218110), leq(n0, _218927), leq(_218927, _218110), leq(n0, _218925), leq(_218925, _218110)]]], (514 ^ _201032) ^ [_219742, _219744, _219746] : [519 ^ _201032 : [(520 ^ _201032) ^ [] : [-(leq(n0, 517 ^ [_219742, _219744, _219746]))], (522 ^ _201032) ^ [] : [-(leq(517 ^ [_219742, _219744, _219746], _219742))], (524 ^ _201032) ^ [] : [-(leq(n0, 518 ^ [_219742, _219744, _219746]))], (526 ^ _201032) ^ [] : [-(leq(518 ^ [_219742, _219744, _219746], _219742))], (528 ^ _201032) ^ [] : [a_select3(_219746, 517 ^ [_219742, _219744, _219746], 518 ^ [_219742, _219744, _219746]) = a_select3(_219746, 518 ^ [_219742, _219744, _219746], 517 ^ [_219742, _219744, _219746])]], 531 ^ _201032 : [(532 ^ _201032) ^ [] : [-(leq(n0, 529 ^ [_219742, _219744, _219746]))], (534 ^ _201032) ^ [] : [-(leq(529 ^ [_219742, _219744, _219746], _219742))], (536 ^ _201032) ^ [] : [-(leq(n0, 530 ^ [_219742, _219744, _219746]))], (538 ^ _201032) ^ [] : [-(leq(530 ^ [_219742, _219744, _219746], _219742))], (540 ^ _201032) ^ [] : [a_select3(_219744, 529 ^ [_219742, _219744, _219746], 530 ^ [_219742, _219744, _219746]) = a_select3(_219744, 530 ^ [_219742, _219744, _219746], 529 ^ [_219742, _219744, _219746])]], 541 ^ _201032 : [(542 ^ _201032) ^ [_221251, _221253] : [-(a_select3(tptp_madd(_219746, _219744), _221253, _221251) = a_select3(tptp_madd(_219746, _219744), _221251, _221253)), leq(n0, _221253), leq(_221253, _219742), leq(n0, _221251), leq(_221251, _219742)]]], (560 ^ _201032) ^ [_221837, _221839, _221841] : [565 ^ _201032 : [(566 ^ _201032) ^ [] : [-(leq(n0, 563 ^ [_221837, _221839, _221841]))], (568 ^ _201032) ^ [] : [-(leq(563 ^ [_221837, _221839, _221841], _221837))], (570 ^ _201032) ^ [] : [-(leq(n0, 564 ^ [_221837, _221839, _221841]))], (572 ^ _201032) ^ [] : [-(leq(564 ^ [_221837, _221839, _221841], _221837))], (574 ^ _201032) ^ [] : [a_select3(_221841, 563 ^ [_221837, _221839, _221841], 564 ^ [_221837, _221839, _221841]) = a_select3(_221841, 564 ^ [_221837, _221839, _221841], 563 ^ [_221837, _221839, _221841])]], 577 ^ _201032 : [(578 ^ _201032) ^ [] : [-(leq(n0, 575 ^ [_221837, _221839, _221841]))], (580 ^ _201032) ^ [] : [-(leq(575 ^ [_221837, _221839, _221841], _221837))], (582 ^ _201032) ^ [] : [-(leq(n0, 576 ^ [_221837, _221839, _221841]))], (584 ^ _201032) ^ [] : [-(leq(576 ^ [_221837, _221839, _221841], _221837))], (586 ^ _201032) ^ [] : [a_select3(_221839, 575 ^ [_221837, _221839, _221841], 576 ^ [_221837, _221839, _221841]) = a_select3(_221839, 576 ^ [_221837, _221839, _221841], 575 ^ [_221837, _221839, _221841])]], 587 ^ _201032 : [(588 ^ _201032) ^ [_223346, _223348] : [-(a_select3(tptp_msub(_221841, _221839), _223348, _223346) = a_select3(tptp_msub(_221841, _221839), _223346, _223348)), leq(n0, _223348), leq(_223348, _221837), leq(n0, _223346), leq(_223346, _221837)]]], (606 ^ _201032) ^ [_223932, _223934, _223936] : [609 ^ _201032 : [(610 ^ _201032) ^ [] : [-(leq(n0, 607 ^ [_223932, _223934, _223936]))], (612 ^ _201032) ^ [] : [-(leq(607 ^ [_223932, _223934, _223936], _223932))], (614 ^ _201032) ^ [] : [-(leq(n0, 608 ^ [_223932, _223934, _223936]))], (616 ^ _201032) ^ [] : [-(leq(608 ^ [_223932, _223934, _223936], _223932))], (618 ^ _201032) ^ [] : [a_select3(_223934, 607 ^ [_223932, _223934, _223936], 608 ^ [_223932, _223934, _223936]) = a_select3(_223934, 608 ^ [_223932, _223934, _223936], 607 ^ [_223932, _223934, _223936])]], 619 ^ _201032 : [(620 ^ _201032) ^ [_224745, _224747] : [-(a_select3(tptp_mmul(_223936, tptp_mmul(_223934, trans(_223936))), _224747, _224745) = a_select3(tptp_mmul(_223936, tptp_mmul(_223934, trans(_223936))), _224745, _224747)), leq(n0, _224747), leq(_224747, _223932), leq(n0, _224745), leq(_224745, _223932)]]], (638 ^ _201032) ^ [_225364, _225366, _225368, _225370] : [641 ^ _201032 : [(642 ^ _201032) ^ [] : [-(leq(n0, 639 ^ [_225364, _225366, _225368, _225370]))], (644 ^ _201032) ^ [] : [-(leq(639 ^ [_225364, _225366, _225368, _225370], _225364))], (646 ^ _201032) ^ [] : [-(leq(n0, 640 ^ [_225364, _225366, _225368, _225370]))], (648 ^ _201032) ^ [] : [-(leq(640 ^ [_225364, _225366, _225368, _225370], _225364))], (650 ^ _201032) ^ [] : [a_select3(_225368, 639 ^ [_225364, _225366, _225368, _225370], 640 ^ [_225364, _225366, _225368, _225370]) = a_select3(_225368, 640 ^ [_225364, _225366, _225368, _225370], 639 ^ [_225364, _225366, _225368, _225370])]], 651 ^ _201032 : [(652 ^ _201032) ^ [_226221, _226223] : [-(a_select3(tptp_mmul(_225370, tptp_mmul(_225368, trans(_225370))), _226223, _226221) = a_select3(tptp_mmul(_225370, tptp_mmul(_225368, trans(_225370))), _226221, _226223)), leq(n0, _226223), leq(_226223, _225366), leq(n0, _226221), leq(_226221, _225366)]]], (670 ^ _201032) ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930] : [675 ^ _201032 : [(676 ^ _201032) ^ [] : [-(leq(n0, 673 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (678 ^ _201032) ^ [] : [-(leq(673 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226916))], (680 ^ _201032) ^ [] : [-(leq(n0, 674 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (682 ^ _201032) ^ [] : [-(leq(674 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226916))], (684 ^ _201032) ^ [] : [a_select3(_226924, 673 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 674 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]) = a_select3(_226924, 674 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 673 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930])]], 689 ^ _201032 : [(690 ^ _201032) ^ [] : [-(leq(n0, 687 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (692 ^ _201032) ^ [] : [-(leq(687 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226918))], (694 ^ _201032) ^ [] : [-(leq(n0, 688 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (696 ^ _201032) ^ [] : [-(leq(688 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226918))], (698 ^ _201032) ^ [] : [a_select3(_226930, 687 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 688 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]) = a_select3(_226930, 688 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 687 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930])]], 701 ^ _201032 : [(702 ^ _201032) ^ [] : [-(leq(n0, 699 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (704 ^ _201032) ^ [] : [-(leq(699 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226918))], (706 ^ _201032) ^ [] : [-(leq(n0, 700 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]))], (708 ^ _201032) ^ [] : [-(leq(700 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], _226918))], (710 ^ _201032) ^ [] : [a_select3(_226920, 699 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 700 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930]) = a_select3(_226920, 700 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930], 699 ^ [_226916, _226918, _226920, _226922, _226924, _226926, _226928, _226930])]], 711 ^ _201032 : [(712 ^ _201032) ^ [_229844, _229846] : [-(a_select3(tptp_madd(_226930, tptp_mmul(_226928, tptp_mmul(tptp_madd(tptp_mmul(_226926, tptp_mmul(_226924, trans(_226926))), tptp_mmul(_226922, tptp_mmul(_226920, trans(_226922)))), trans(_226928)))), _229846, _229844) = a_select3(tptp_madd(_226930, tptp_mmul(_226928, tptp_mmul(tptp_madd(tptp_mmul(_226926, tptp_mmul(_226924, trans(_226926))), tptp_mmul(_226922, tptp_mmul(_226920, trans(_226922)))), trans(_226928)))), _229844, _229846)), leq(n0, _229846), leq(_229846, _226918), leq(n0, _229844), leq(_229844, _226918)]]], (730 ^ _201032) ^ [_230597] : [-(sum(n0, tptp_minus_1, _230597) = n0)], (732 ^ _201032) ^ [_230679] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230679))], (734 ^ _201032) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _201032) ^ [_230814] : [-(plus(_230814, n1) = succ(_230814))], (738 ^ _201032) ^ [_230897] : [-(plus(n1, _230897) = succ(_230897))], (740 ^ _201032) ^ [_230980] : [-(plus(_230980, n2) = succ(succ(_230980)))], (742 ^ _201032) ^ [_231065] : [-(plus(n2, _231065) = succ(succ(_231065)))], (744 ^ _201032) ^ [_231150] : [-(plus(_231150, n3) = succ(succ(succ(_231150))))], (746 ^ _201032) ^ [_231237] : [-(plus(n3, _231237) = succ(succ(succ(_231237))))], (748 ^ _201032) ^ [_231324] : [-(plus(_231324, n4) = succ(succ(succ(succ(_231324)))))], (750 ^ _201032) ^ [_231413] : [-(plus(n4, _231413) = succ(succ(succ(succ(_231413)))))], (752 ^ _201032) ^ [_231502] : [-(plus(_231502, n5) = succ(succ(succ(succ(succ(_231502))))))], (754 ^ _201032) ^ [_231593] : [-(plus(n5, _231593) = succ(succ(succ(succ(succ(_231593))))))], (756 ^ _201032) ^ [_231684] : [-(minus(_231684, n1) = pred(_231684))], (758 ^ _201032) ^ [_231767] : [-(pred(succ(_231767)) = _231767)], (760 ^ _201032) ^ [_231849] : [-(succ(pred(_231849)) = _231849)], (762 ^ _201032) ^ [_231989, _231991] : [leq(succ(_231991), succ(_231989)), -(leq(_231991, _231989))], (768 ^ _201032) ^ [_232159, _232161] : [leq(_232161, _232159), -(leq(succ(_232161), succ(_232159)))], (774 ^ _201032) ^ [_232379, _232381] : [leq(succ(_232381), _232379), -(gt(_232379, _232381))], (780 ^ _201032) ^ [_232593, _232595] : [leq(minus(_232595, _232593), _232595), -(leq(n0, _232593))], (786 ^ _201032) ^ [_232822, _232824, _232826, _232828] : [-(a_select3(tptp_update3(_232828, _232826, _232824, _232822), _232826, _232824) = _232822)], (788 ^ _201032) ^ [_233014, _233016, _233018, _233020, _233022, _233024, _233026] : [-(a_select3(tptp_update3(_233018, _233026, _233024, _233014), _233022, _233020) = _233016), -(_233026 = _233022), _233024 = _233020, a_select3(_233018, _233022, _233020) = _233016], (802 ^ _201032) ^ [_233557, _233559, _233561, _233563, _233565, _233567] : [-(a_select3(tptp_update3(_233559, _233563, _233561, _233557), _233567, _233565) = _233557), 807 ^ _201032 : [(808 ^ _201032) ^ [] : [-(leq(n0, 805 ^ [_233557, _233559, _233561, _233563, _233565, _233567]))], (810 ^ _201032) ^ [] : [-(leq(n0, 806 ^ [_233557, _233559, _233561, _233563, _233565, _233567]))], (812 ^ _201032) ^ [] : [-(leq(805 ^ [_233557, _233559, _233561, _233563, _233565, _233567], _233563))], (814 ^ _201032) ^ [] : [-(leq(806 ^ [_233557, _233559, _233561, _233563, _233565, _233567], _233561))], (816 ^ _201032) ^ [] : [a_select3(_233559, 805 ^ [_233557, _233559, _233561, _233563, _233565, _233567], 806 ^ [_233557, _233559, _233561, _233563, _233565, _233567]) = _233557]], leq(n0, _233567), leq(_233567, _233563), leq(n0, _233565), leq(_233565, _233561)], (834 ^ _201032) ^ [_234899, _234901, _234903] : [-(a_select2(tptp_update2(_234903, _234901, _234899), _234901) = _234899)], (836 ^ _201032) ^ [_235059, _235061, _235063, _235065, _235067] : [-(a_select2(tptp_update2(_235063, _235067, _235059), _235065) = _235061), -(_235067 = _235065), a_select2(_235063, _235065) = _235061], (865 ^ _201032) ^ [] : [-(true)], (867 ^ _201032) ^ [] : [def = use], (846 ^ _201032) ^ [_235439, _235441, _235443, _235445] : [-(a_select2(tptp_update2(_235441, _235443, _235439), _235445) = _235439), 850 ^ _201032 : [(851 ^ _201032) ^ [] : [-(leq(n0, 849 ^ [_235439, _235441, _235443, _235445]))], (853 ^ _201032) ^ [] : [-(leq(849 ^ [_235439, _235441, _235443, _235445], _235443))], (855 ^ _201032) ^ [] : [a_select2(_235441, 849 ^ [_235439, _235441, _235443, _235445]) = _235439]], leq(n0, _235445), leq(_235445, _235443)]], input).
% 27.81/27.22  ncf('1',plain,[gt(pv1325, pv1325)],start(284 ^ 0,bind([[_211098], [pv1325]]))).
% 27.81/27.22  ncf('1.1',plain,[-(gt(pv1325, pv1325)), -(gt(pv1325, pv1325)), -(pv1325 = pv1325)],extension(264 ^ 1,bind([[_210504, _210506], [pv1325, pv1325]]))).
% 27.81/27.22  ncf('1.1.1',plain,[gt(pv1325, pv1325)],reduction('1')).
% 27.81/27.22  ncf('1.1.2',plain,[pv1325 = pv1325, -(geq(pv1325, n0)), geq(pv1325, n2), n2 = n0],extension(34 ^ 2,bind([[_202272, _202274, _202276, _202278], [n0, n2, pv1325, pv1325]]))).
% 27.81/27.22  ncf('1.1.2.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 3,bind([[_202272, _202274, _202276, _202278], [n0, n0, pv1325, pv1325]]))).
% 27.81/27.22  ncf('1.1.2.1.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 4,bind([[_202272, _202274, _202276, _202278], [n0, n0, pv1325, pv1325]]))).
% 27.81/27.22  ncf('1.1.2.1.1.1',plain,[geq(pv1325, n0), -(leq(n0, pv1325))],extension(310 ^ 5,bind([[_212038, _212040], [n0, pv1325]]))).
% 27.81/27.22  ncf('1.1.2.1.1.1.1',plain,[leq(n0, pv1325)],extension(1059 ^ 6)).
% 27.81/27.22  ncf('1.1.2.1.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 27.81/27.22  ncf('1.1.2.1.1.3',plain,[-(n0 = n0)],extension(2 ^ 5,bind([[_201176], [n0]]))).
% 27.81/27.22  ncf('1.1.2.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 27.81/27.22  ncf('1.1.2.1.3',plain,[-(n0 = n0)],extension(2 ^ 4,bind([[_201176], [n0]]))).
% 27.81/27.22  ncf('1.1.2.2',plain,[-(geq(pv1325, n2)), leq(n2, pv1325)],extension(316 ^ 3,bind([[_212200, _212202], [n2, pv1325]]))).
% 27.81/27.22  ncf('1.1.2.2.1',plain,[-(leq(n2, pv1325))],extension(1047 ^ 4)).
% 27.81/27.22  ncf('1.1.2.3',plain,[-(n2 = n0), -(gt(n2, n0)), -(gt(n0, n2))],extension(264 ^ 3,bind([[_210504, _210506], [n0, n2]]))).
% 27.81/27.22  ncf('1.1.2.3.1',plain,[gt(n2, n0), -(leq(n0, n2))],extension(322 ^ 4,bind([[_212412, _212414], [n2, n0]]))).
% 27.81/27.22  ncf('1.1.2.3.1.1',plain,[leq(n0, n2), -(leq(n0, pv1325)), leq(n2, pv1325)],extension(288 ^ 5,bind([[_211297, _211299, _211301], [pv1325, n2, n0]]))).
% 27.81/27.22  ncf('1.1.2.3.1.1.1',plain,[leq(n0, pv1325)],extension(1059 ^ 6)).
% 27.81/27.22  ncf('1.1.2.3.1.1.2',plain,[-(leq(n2, pv1325))],extension(1047 ^ 6)).
% 27.81/27.22  ncf('1.1.2.3.2',plain,[gt(n0, n2), -(gt(n0, n0)), gt(n2, n0)],extension(274 ^ 4,bind([[_210819, _210821, _210823], [n0, n2, n0]]))).
% 27.81/27.22  ncf('1.1.2.3.2.1',plain,[gt(n0, n0)],extension(284 ^ 5,bind([[_211098], [n0]]))).
% 27.81/27.22  ncf('1.1.2.3.2.2',plain,[-(gt(n2, n0))],extension(889 ^ 5)).
% 27.81/27.22  %-----------------------------------------------------
% 27.81/27.22  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------