%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV131+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 12:20:01 EDT 2023

% Result   : Theorem 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV131+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % 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 02:38:08 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(1115 ^ _200996) ^ [] : [leq(n0, s_best7)], (1041 ^ _200996) ^ [] : [leq(tptp_float_0_001, pv1341)], (1043 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], (1049 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1055 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1061 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1067 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1073 ^ _200996) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1079 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1085 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1091 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1097 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1103 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1109 ^ _200996) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (2 ^ _200996) ^ [_201140] : [-(_201140 = _201140)], (4 ^ _200996) ^ [_201247, _201249] : [_201249 = _201247, -(_201247 = _201249)], (10 ^ _200996) ^ [_201451, _201453, _201455] : [-(_201455 = _201451), _201455 = _201453, _201453 = _201451], (20 ^ _200996) ^ [_201792, _201794, _201796, _201798] : [-(lt(_201796, _201792)), lt(_201798, _201794), _201798 = _201796, _201794 = _201792], (34 ^ _200996) ^ [_202236, _202238, _202240, _202242] : [-(geq(_202240, _202236)), geq(_202242, _202238), _202242 = _202240, _202238 = _202236], (48 ^ _200996) ^ [_202680, _202682, _202684, _202686] : [-(gt(_202684, _202680)), gt(_202686, _202682), _202686 = _202684, _202682 = _202680], (62 ^ _200996) ^ [_203104, _203106, _203108, _203110] : [-(leq(_203108, _203104)), leq(_203110, _203106), _203110 = _203108, _203106 = _203104], (76 ^ _200996) ^ [_203560, _203562, _203564, _203566] : [-(uniform_int_rnd(_203566, _203562) = uniform_int_rnd(_203564, _203560)), _203566 = _203564, _203562 = _203560], (86 ^ _200996) ^ [_203919, _203921, _203923, _203925] : [-(tptp_const_array1(_203925, _203921) = tptp_const_array1(_203923, _203919)), _203925 = _203923, _203921 = _203919], (96 ^ _200996) ^ [_204306, _204308, _204310, _204312, _204314, _204316] : [-(tptp_const_array2(_204316, _204312, _204308) = tptp_const_array2(_204314, _204310, _204306)), _204316 = _204314, _204312 = _204310, _204308 = _204306], (110 ^ _200996) ^ [_204794, _204796, _204798, _204800] : [-(dim(_204800, _204796) = dim(_204798, _204794)), _204800 = _204798, _204796 = _204794], (120 ^ _200996) ^ [_205125, _205127] : [_205127 = _205125, -(inv(_205127) = inv(_205125))], (126 ^ _200996) ^ [_205371, _205373, _205375, _205377] : [-(tptp_msub(_205377, _205373) = tptp_msub(_205375, _205371)), _205377 = _205375, _205373 = _205371], (136 ^ _200996) ^ [_205730, _205732, _205734, _205736] : [-(tptp_madd(_205736, _205732) = tptp_madd(_205734, _205730)), _205736 = _205734, _205732 = _205730], (146 ^ _200996) ^ [_206089, _206091, _206093, _206095] : [-(tptp_mmul(_206095, _206091) = tptp_mmul(_206093, _206089)), _206095 = _206093, _206091 = _206089], (156 ^ _200996) ^ [_206420, _206422] : [_206422 = _206420, -(trans(_206422) = trans(_206420))], (162 ^ _200996) ^ [_206694, _206696, _206698, _206700, _206702, _206704] : [-(sum(_206704, _206700, _206696) = sum(_206702, _206698, _206694)), _206704 = _206702, _206700 = _206698, _206696 = _206694], (176 ^ _200996) ^ [_207182, _207184, _207186, _207188] : [-(plus(_207188, _207184) = plus(_207186, _207182)), _207188 = _207186, _207184 = _207182], (186 ^ _200996) ^ [_207513, _207515] : [_207515 = _207513, -(pred(_207515) = pred(_207513))], (192 ^ _200996) ^ [_207759, _207761, _207763, _207765] : [-(minus(_207765, _207761) = minus(_207763, _207759)), _207765 = _207763, _207761 = _207759], (202 ^ _200996) ^ [_208146, _208148, _208150, _208152, _208154, _208156] : [-(a_select3(_208156, _208152, _208148) = a_select3(_208154, _208150, _208146)), _208156 = _208154, _208152 = _208150, _208148 = _208146], (216 ^ _200996) ^ [_208690, _208692, _208694, _208696, _208698, _208700, _208702, _208704] : [-(tptp_update3(_208704, _208700, _208696, _208692) = tptp_update3(_208702, _208698, _208694, _208690)), _208704 = _208702, _208700 = _208698, _208696 = _208694, _208692 = _208690], (234 ^ _200996) ^ [_209323, _209325, _209327, _209329] : [-(a_select2(_209329, _209325) = a_select2(_209327, _209323)), _209329 = _209327, _209325 = _209323], (258 ^ _200996) ^ [_210150, _210152] : [_210152 = _210150, -(succ(_210152) = succ(_210150))], (244 ^ _200996) ^ [_209710, _209712, _209714, _209716, _209718, _209720] : [-(tptp_update2(_209720, _209716, _209712) = tptp_update2(_209718, _209714, _209710)), _209720 = _209718, _209716 = _209714, _209712 = _209710], (869 ^ _200996) ^ [] : [-(gt(n5, n4))], (871 ^ _200996) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _200996) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _200996) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _200996) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _200996) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _200996) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _200996) ^ [] : [-(gt(n4, n0))], (885 ^ _200996) ^ [] : [-(gt(n5, n0))], (887 ^ _200996) ^ [] : [-(gt(n1, n0))], (889 ^ _200996) ^ [] : [-(gt(n2, n0))], (891 ^ _200996) ^ [] : [-(gt(n3, n0))], (893 ^ _200996) ^ [] : [-(gt(n4, n1))], (895 ^ _200996) ^ [] : [-(gt(n5, n1))], (897 ^ _200996) ^ [] : [-(gt(n2, n1))], (899 ^ _200996) ^ [] : [-(gt(n3, n1))], (901 ^ _200996) ^ [] : [-(gt(n4, n2))], (903 ^ _200996) ^ [] : [-(gt(n5, n2))], (905 ^ _200996) ^ [] : [-(gt(n3, n2))], (907 ^ _200996) ^ [] : [-(gt(n4, n3))], (909 ^ _200996) ^ [] : [-(gt(n5, n3))], (911 ^ _200996) ^ [_237506] : [leq(n0, _237506), leq(_237506, n4), -(_237506 = n0), -(_237506 = n1), -(_237506 = n2), -(_237506 = n3), -(_237506 = n4)], (937 ^ _200996) ^ [_238127] : [leq(n0, _238127), leq(_238127, n5), -(_238127 = n0), -(_238127 = n1), -(_238127 = n2), -(_238127 = n3), -(_238127 = n4), -(_238127 = n5)], (967 ^ _200996) ^ [_238834] : [-(_238834 = n0), leq(n0, _238834), leq(_238834, n0)], (977 ^ _200996) ^ [_239109] : [leq(n0, _239109), leq(_239109, n1), -(_239109 = n0), -(_239109 = n1)], (991 ^ _200996) ^ [_239472] : [leq(n0, _239472), leq(_239472, n2), -(_239472 = n0), -(_239472 = n1), -(_239472 = n2)], (1031 ^ _200996) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _200996) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _200996) ^ [] : [-(succ(n0) = n1)], (1037 ^ _200996) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _200996) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _200996) ^ [_239921] : [leq(n0, _239921), leq(_239921, n3), -(_239921 = n0), -(_239921 = n1), -(_239921 = n2), -(_239921 = n3)], (264 ^ _200996) ^ [_210468, _210470] : [-(gt(_210470, _210468)), -(gt(_210468, _210470)), -(_210470 = _210468)], (274 ^ _200996) ^ [_210783, _210785, _210787] : [-(gt(_210787, _210783)), gt(_210787, _210785), gt(_210785, _210783)], (284 ^ _200996) ^ [_211062] : [gt(_211062, _211062)], (286 ^ _200996) ^ [_211140] : [-(leq(_211140, _211140))], (288 ^ _200996) ^ [_211261, _211263, _211265] : [-(leq(_211265, _211261)), leq(_211265, _211263), leq(_211263, _211261)], (298 ^ _200996) ^ [_211599, _211601] : [lt(_211601, _211599), -(gt(_211599, _211601))], (304 ^ _200996) ^ [_211761, _211763] : [gt(_211761, _211763), -(lt(_211763, _211761))], (310 ^ _200996) ^ [_212002, _212004] : [geq(_212004, _212002), -(leq(_212002, _212004))], (316 ^ _200996) ^ [_212164, _212166] : [leq(_212164, _212166), -(geq(_212166, _212164))], (322 ^ _200996) ^ [_212376, _212378] : [gt(_212376, _212378), -(leq(_212378, _212376))], (328 ^ _200996) ^ [_212586, _212588] : [-(gt(_212586, _212588)), leq(_212588, _212586), -(_212588 = _212586)], (338 ^ _200996) ^ [_212917, _212919] : [leq(_212919, pred(_212917)), -(gt(_212917, _212919))], (344 ^ _200996) ^ [_213083, _213085] : [gt(_213083, _213085), -(leq(_213085, pred(_213083)))], (350 ^ _200996) ^ [_213270] : [-(gt(succ(_213270), _213270))], (352 ^ _200996) ^ [_213379, _213381] : [leq(_213381, _213379), -(leq(_213381, succ(_213379)))], (358 ^ _200996) ^ [_213622, _213624] : [leq(_213624, _213622), -(gt(succ(_213622), _213624))], (364 ^ _200996) ^ [_213788, _213790] : [gt(succ(_213788), _213790), -(leq(_213790, _213788))], (370 ^ _200996) ^ [_214004, _214006] : [leq(n0, _214006), -(leq(uniform_int_rnd(_214004, _214006), _214006))], (376 ^ _200996) ^ [_214220, _214222] : [leq(n0, _214222), -(leq(n0, uniform_int_rnd(_214220, _214222)))], (382 ^ _200996) ^ [_214464, _214466, _214468, _214470] : [-(a_select2(tptp_const_array1(dim(_214468, _214466), _214464), _214470) = _214464), leq(_214468, _214470), leq(_214470, _214466)], (392 ^ _200996) ^ [_214871, _214873, _214875, _214877, _214879, _214881, _214883] : [-(a_select3(tptp_const_array2(dim(_214881, _214879), dim(_214875, _214873), _214871), _214883, _214877) = _214871), leq(_214881, _214883), leq(_214883, _214879), leq(_214875, _214877), leq(_214877, _214873)], (410 ^ _200996) ^ [_215466, _215468] : [413 ^ _200996 : [(414 ^ _200996) ^ [] : [-(leq(n0, 411 ^ [_215466, _215468]))], (416 ^ _200996) ^ [] : [-(leq(411 ^ [_215466, _215468], _215466))], (418 ^ _200996) ^ [] : [-(leq(n0, 412 ^ [_215466, _215468]))], (420 ^ _200996) ^ [] : [-(leq(412 ^ [_215466, _215468], _215466))], (422 ^ _200996) ^ [] : [a_select3(_215468, 411 ^ [_215466, _215468], 412 ^ [_215466, _215468]) = a_select3(_215468, 412 ^ [_215466, _215468], 411 ^ [_215466, _215468])]], 423 ^ _200996 : [(424 ^ _200996) ^ [_216223, _216225] : [-(a_select3(trans(_215468), _216225, _216223) = a_select3(trans(_215468), _216223, _216225)), leq(n0, _216225), leq(_216225, _215466), leq(n0, _216223), leq(_216223, _215466)]]], (442 ^ _200996) ^ [_216770, _216772] : [445 ^ _200996 : [(446 ^ _200996) ^ [] : [-(leq(n0, 443 ^ [_216770, _216772]))], (448 ^ _200996) ^ [] : [-(leq(443 ^ [_216770, _216772], _216770))], (450 ^ _200996) ^ [] : [-(leq(n0, 444 ^ [_216770, _216772]))], (452 ^ _200996) ^ [] : [-(leq(444 ^ [_216770, _216772], _216770))], (454 ^ _200996) ^ [] : [a_select3(_216772, 443 ^ [_216770, _216772], 444 ^ [_216770, _216772]) = a_select3(_216772, 444 ^ [_216770, _216772], 443 ^ [_216770, _216772])]], 455 ^ _200996 : [(456 ^ _200996) ^ [_217527, _217529] : [-(a_select3(inv(_216772), _217529, _217527) = a_select3(inv(_216772), _217527, _217529)), leq(n0, _217529), leq(_217529, _216770), leq(n0, _217527), leq(_217527, _216770)]]], (474 ^ _200996) ^ [_218074, _218076] : [477 ^ _200996 : [(478 ^ _200996) ^ [] : [-(leq(n0, 475 ^ [_218074, _218076]))], (480 ^ _200996) ^ [] : [-(leq(475 ^ [_218074, _218076], _218074))], (482 ^ _200996) ^ [] : [-(leq(n0, 476 ^ [_218074, _218076]))], (484 ^ _200996) ^ [] : [-(leq(476 ^ [_218074, _218076], _218074))], (486 ^ _200996) ^ [] : [a_select3(_218076, 475 ^ [_218074, _218076], 476 ^ [_218074, _218076]) = a_select3(_218076, 476 ^ [_218074, _218076], 475 ^ [_218074, _218076])]], 487 ^ _200996 : [(488 ^ _200996) ^ [_218887, _218889, _218891, _218893] : [-(a_select3(tptp_update3(_218076, _218889, _218889, _218887), _218893, _218891) = a_select3(tptp_update3(_218076, _218889, _218889, _218887), _218891, _218893)), leq(n0, _218893), leq(_218893, _218074), leq(n0, _218891), leq(_218891, _218074), leq(n0, _218889), leq(_218889, _218074)]]], (514 ^ _200996) ^ [_219706, _219708, _219710] : [519 ^ _200996 : [(520 ^ _200996) ^ [] : [-(leq(n0, 517 ^ [_219706, _219708, _219710]))], (522 ^ _200996) ^ [] : [-(leq(517 ^ [_219706, _219708, _219710], _219706))], (524 ^ _200996) ^ [] : [-(leq(n0, 518 ^ [_219706, _219708, _219710]))], (526 ^ _200996) ^ [] : [-(leq(518 ^ [_219706, _219708, _219710], _219706))], (528 ^ _200996) ^ [] : [a_select3(_219710, 517 ^ [_219706, _219708, _219710], 518 ^ [_219706, _219708, _219710]) = a_select3(_219710, 518 ^ [_219706, _219708, _219710], 517 ^ [_219706, _219708, _219710])]], 531 ^ _200996 : [(532 ^ _200996) ^ [] : [-(leq(n0, 529 ^ [_219706, _219708, _219710]))], (534 ^ _200996) ^ [] : [-(leq(529 ^ [_219706, _219708, _219710], _219706))], (536 ^ _200996) ^ [] : [-(leq(n0, 530 ^ [_219706, _219708, _219710]))], (538 ^ _200996) ^ [] : [-(leq(530 ^ [_219706, _219708, _219710], _219706))], (540 ^ _200996) ^ [] : [a_select3(_219708, 529 ^ [_219706, _219708, _219710], 530 ^ [_219706, _219708, _219710]) = a_select3(_219708, 530 ^ [_219706, _219708, _219710], 529 ^ [_219706, _219708, _219710])]], 541 ^ _200996 : [(542 ^ _200996) ^ [_221215, _221217] : [-(a_select3(tptp_madd(_219710, _219708), _221217, _221215) = a_select3(tptp_madd(_219710, _219708), _221215, _221217)), leq(n0, _221217), leq(_221217, _219706), leq(n0, _221215), leq(_221215, _219706)]]], (560 ^ _200996) ^ [_221801, _221803, _221805] : [565 ^ _200996 : [(566 ^ _200996) ^ [] : [-(leq(n0, 563 ^ [_221801, _221803, _221805]))], (568 ^ _200996) ^ [] : [-(leq(563 ^ [_221801, _221803, _221805], _221801))], (570 ^ _200996) ^ [] : [-(leq(n0, 564 ^ [_221801, _221803, _221805]))], (572 ^ _200996) ^ [] : [-(leq(564 ^ [_221801, _221803, _221805], _221801))], (574 ^ _200996) ^ [] : [a_select3(_221805, 563 ^ [_221801, _221803, _221805], 564 ^ [_221801, _221803, _221805]) = a_select3(_221805, 564 ^ [_221801, _221803, _221805], 563 ^ [_221801, _221803, _221805])]], 577 ^ _200996 : [(578 ^ _200996) ^ [] : [-(leq(n0, 575 ^ [_221801, _221803, _221805]))], (580 ^ _200996) ^ [] : [-(leq(575 ^ [_221801, _221803, _221805], _221801))], (582 ^ _200996) ^ [] : [-(leq(n0, 576 ^ [_221801, _221803, _221805]))], (584 ^ _200996) ^ [] : [-(leq(576 ^ [_221801, _221803, _221805], _221801))], (586 ^ _200996) ^ [] : [a_select3(_221803, 575 ^ [_221801, _221803, _221805], 576 ^ [_221801, _221803, _221805]) = a_select3(_221803, 576 ^ [_221801, _221803, _221805], 575 ^ [_221801, _221803, _221805])]], 587 ^ _200996 : [(588 ^ _200996) ^ [_223310, _223312] : [-(a_select3(tptp_msub(_221805, _221803), _223312, _223310) = a_select3(tptp_msub(_221805, _221803), _223310, _223312)), leq(n0, _223312), leq(_223312, _221801), leq(n0, _223310), leq(_223310, _221801)]]], (606 ^ _200996) ^ [_223896, _223898, _223900] : [609 ^ _200996 : [(610 ^ _200996) ^ [] : [-(leq(n0, 607 ^ [_223896, _223898, _223900]))], (612 ^ _200996) ^ [] : [-(leq(607 ^ [_223896, _223898, _223900], _223896))], (614 ^ _200996) ^ [] : [-(leq(n0, 608 ^ [_223896, _223898, _223900]))], (616 ^ _200996) ^ [] : [-(leq(608 ^ [_223896, _223898, _223900], _223896))], (618 ^ _200996) ^ [] : [a_select3(_223898, 607 ^ [_223896, _223898, _223900], 608 ^ [_223896, _223898, _223900]) = a_select3(_223898, 608 ^ [_223896, _223898, _223900], 607 ^ [_223896, _223898, _223900])]], 619 ^ _200996 : [(620 ^ _200996) ^ [_224709, _224711] : [-(a_select3(tptp_mmul(_223900, tptp_mmul(_223898, trans(_223900))), _224711, _224709) = a_select3(tptp_mmul(_223900, tptp_mmul(_223898, trans(_223900))), _224709, _224711)), leq(n0, _224711), leq(_224711, _223896), leq(n0, _224709), leq(_224709, _223896)]]], (638 ^ _200996) ^ [_225328, _225330, _225332, _225334] : [641 ^ _200996 : [(642 ^ _200996) ^ [] : [-(leq(n0, 639 ^ [_225328, _225330, _225332, _225334]))], (644 ^ _200996) ^ [] : [-(leq(639 ^ [_225328, _225330, _225332, _225334], _225328))], (646 ^ _200996) ^ [] : [-(leq(n0, 640 ^ [_225328, _225330, _225332, _225334]))], (648 ^ _200996) ^ [] : [-(leq(640 ^ [_225328, _225330, _225332, _225334], _225328))], (650 ^ _200996) ^ [] : [a_select3(_225332, 639 ^ [_225328, _225330, _225332, _225334], 640 ^ [_225328, _225330, _225332, _225334]) = a_select3(_225332, 640 ^ [_225328, _225330, _225332, _225334], 639 ^ [_225328, _225330, _225332, _225334])]], 651 ^ _200996 : [(652 ^ _200996) ^ [_226185, _226187] : [-(a_select3(tptp_mmul(_225334, tptp_mmul(_225332, trans(_225334))), _226187, _226185) = a_select3(tptp_mmul(_225334, tptp_mmul(_225332, trans(_225334))), _226185, _226187)), leq(n0, _226187), leq(_226187, _225330), leq(n0, _226185), leq(_226185, _225330)]]], (670 ^ _200996) ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894] : [675 ^ _200996 : [(676 ^ _200996) ^ [] : [-(leq(n0, 673 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (678 ^ _200996) ^ [] : [-(leq(673 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226880))], (680 ^ _200996) ^ [] : [-(leq(n0, 674 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (682 ^ _200996) ^ [] : [-(leq(674 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226880))], (684 ^ _200996) ^ [] : [a_select3(_226888, 673 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 674 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]) = a_select3(_226888, 674 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 673 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894])]], 689 ^ _200996 : [(690 ^ _200996) ^ [] : [-(leq(n0, 687 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (692 ^ _200996) ^ [] : [-(leq(687 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226882))], (694 ^ _200996) ^ [] : [-(leq(n0, 688 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (696 ^ _200996) ^ [] : [-(leq(688 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226882))], (698 ^ _200996) ^ [] : [a_select3(_226894, 687 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 688 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]) = a_select3(_226894, 688 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 687 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894])]], 701 ^ _200996 : [(702 ^ _200996) ^ [] : [-(leq(n0, 699 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (704 ^ _200996) ^ [] : [-(leq(699 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226882))], (706 ^ _200996) ^ [] : [-(leq(n0, 700 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]))], (708 ^ _200996) ^ [] : [-(leq(700 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], _226882))], (710 ^ _200996) ^ [] : [a_select3(_226884, 699 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 700 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894]) = a_select3(_226884, 700 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894], 699 ^ [_226880, _226882, _226884, _226886, _226888, _226890, _226892, _226894])]], 711 ^ _200996 : [(712 ^ _200996) ^ [_229808, _229810] : [-(a_select3(tptp_madd(_226894, tptp_mmul(_226892, tptp_mmul(tptp_madd(tptp_mmul(_226890, tptp_mmul(_226888, trans(_226890))), tptp_mmul(_226886, tptp_mmul(_226884, trans(_226886)))), trans(_226892)))), _229810, _229808) = a_select3(tptp_madd(_226894, tptp_mmul(_226892, tptp_mmul(tptp_madd(tptp_mmul(_226890, tptp_mmul(_226888, trans(_226890))), tptp_mmul(_226886, tptp_mmul(_226884, trans(_226886)))), trans(_226892)))), _229808, _229810)), leq(n0, _229810), leq(_229810, _226882), leq(n0, _229808), leq(_229808, _226882)]]], (730 ^ _200996) ^ [_230561] : [-(sum(n0, tptp_minus_1, _230561) = n0)], (732 ^ _200996) ^ [_230643] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230643))], (734 ^ _200996) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _200996) ^ [_230778] : [-(plus(_230778, n1) = succ(_230778))], (738 ^ _200996) ^ [_230861] : [-(plus(n1, _230861) = succ(_230861))], (740 ^ _200996) ^ [_230944] : [-(plus(_230944, n2) = succ(succ(_230944)))], (742 ^ _200996) ^ [_231029] : [-(plus(n2, _231029) = succ(succ(_231029)))], (744 ^ _200996) ^ [_231114] : [-(plus(_231114, n3) = succ(succ(succ(_231114))))], (746 ^ _200996) ^ [_231201] : [-(plus(n3, _231201) = succ(succ(succ(_231201))))], (748 ^ _200996) ^ [_231288] : [-(plus(_231288, n4) = succ(succ(succ(succ(_231288)))))], (750 ^ _200996) ^ [_231377] : [-(plus(n4, _231377) = succ(succ(succ(succ(_231377)))))], (752 ^ _200996) ^ [_231466] : [-(plus(_231466, n5) = succ(succ(succ(succ(succ(_231466))))))], (754 ^ _200996) ^ [_231557] : [-(plus(n5, _231557) = succ(succ(succ(succ(succ(_231557))))))], (756 ^ _200996) ^ [_231648] : [-(minus(_231648, n1) = pred(_231648))], (758 ^ _200996) ^ [_231731] : [-(pred(succ(_231731)) = _231731)], (760 ^ _200996) ^ [_231813] : [-(succ(pred(_231813)) = _231813)], (762 ^ _200996) ^ [_231953, _231955] : [leq(succ(_231955), succ(_231953)), -(leq(_231955, _231953))], (768 ^ _200996) ^ [_232123, _232125] : [leq(_232125, _232123), -(leq(succ(_232125), succ(_232123)))], (774 ^ _200996) ^ [_232343, _232345] : [leq(succ(_232345), _232343), -(gt(_232343, _232345))], (780 ^ _200996) ^ [_232557, _232559] : [leq(minus(_232559, _232557), _232559), -(leq(n0, _232557))], (786 ^ _200996) ^ [_232786, _232788, _232790, _232792] : [-(a_select3(tptp_update3(_232792, _232790, _232788, _232786), _232790, _232788) = _232786)], (788 ^ _200996) ^ [_232978, _232980, _232982, _232984, _232986, _232988, _232990] : [-(a_select3(tptp_update3(_232982, _232990, _232988, _232978), _232986, _232984) = _232980), -(_232990 = _232986), _232988 = _232984, a_select3(_232982, _232986, _232984) = _232980], (802 ^ _200996) ^ [_233521, _233523, _233525, _233527, _233529, _233531] : [-(a_select3(tptp_update3(_233523, _233527, _233525, _233521), _233531, _233529) = _233521), 807 ^ _200996 : [(808 ^ _200996) ^ [] : [-(leq(n0, 805 ^ [_233521, _233523, _233525, _233527, _233529, _233531]))], (810 ^ _200996) ^ [] : [-(leq(n0, 806 ^ [_233521, _233523, _233525, _233527, _233529, _233531]))], (812 ^ _200996) ^ [] : [-(leq(805 ^ [_233521, _233523, _233525, _233527, _233529, _233531], _233527))], (814 ^ _200996) ^ [] : [-(leq(806 ^ [_233521, _233523, _233525, _233527, _233529, _233531], _233525))], (816 ^ _200996) ^ [] : [a_select3(_233523, 805 ^ [_233521, _233523, _233525, _233527, _233529, _233531], 806 ^ [_233521, _233523, _233525, _233527, _233529, _233531]) = _233521]], leq(n0, _233531), leq(_233531, _233527), leq(n0, _233529), leq(_233529, _233525)], (834 ^ _200996) ^ [_234863, _234865, _234867] : [-(a_select2(tptp_update2(_234867, _234865, _234863), _234865) = _234863)], (836 ^ _200996) ^ [_235023, _235025, _235027, _235029, _235031] : [-(a_select2(tptp_update2(_235027, _235031, _235023), _235029) = _235025), -(_235031 = _235029), a_select2(_235027, _235029) = _235025], (865 ^ _200996) ^ [] : [-(true)], (867 ^ _200996) ^ [] : [def = use], (846 ^ _200996) ^ [_235403, _235405, _235407, _235409] : [-(a_select2(tptp_update2(_235405, _235407, _235403), _235409) = _235403), 850 ^ _200996 : [(851 ^ _200996) ^ [] : [-(leq(n0, 849 ^ [_235403, _235405, _235407, _235409]))], (853 ^ _200996) ^ [] : [-(leq(849 ^ [_235403, _235405, _235407, _235409], _235407))], (855 ^ _200996) ^ [] : [a_select2(_235405, 849 ^ [_235403, _235405, _235407, _235409]) = _235403]], leq(n0, _235409), leq(_235409, _235407)]], input).
% 0.37/1.37  ncf('1',plain,[leq(n0, s_best7)],start(1115 ^ 0)).
% 0.37/1.37  ncf('1.1',plain,[-(leq(n0, s_best7)), -(leq(tptp_float_0_001, pv1341))],extension(1043 ^ 1)).
% 0.37/1.37  ncf('1.1.1',plain,[leq(tptp_float_0_001, pv1341)],extension(1041 ^ 2)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------