%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV138+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 22.25s 22.04s
% Output   : Proof 22.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV138+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n006.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
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May 19 02:11:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 22.25/22.04  
% 22.25/22.04  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 22.25/22.04  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.25/22.04  %-----------------------------------------------------
% 22.25/22.04  ncf(matrix, plain, [(1041 ^ _201022) ^ [] : [-(leq(n0, s_best7))], (1043 ^ _201022) ^ [] : [-(leq(n0, s_sworst7))], (1045 ^ _201022) ^ [] : [-(leq(n0, s_worst7))], (1047 ^ _201022) ^ [] : [-(leq(n2, pv1325))], (1049 ^ _201022) ^ [] : [-(leq(s_best7, n3))], (1051 ^ _201022) ^ [] : [-(leq(s_sworst7, n3))], (1053 ^ _201022) ^ [] : [-(leq(s_worst7, n3))], (1055 ^ _201022) ^ [] : [-(leq(pv1325, n3))], (1057 ^ _201022) ^ [] : [-(gt(a_select2(s_values7, pv1325), a_select2(s_values7, s_best7)))], (1059 ^ _201022) ^ [] : [leq(n0, pv1325)], (2 ^ _201022) ^ [_201166] : [-(_201166 = _201166)], (4 ^ _201022) ^ [_201273, _201275] : [_201275 = _201273, -(_201273 = _201275)], (10 ^ _201022) ^ [_201477, _201479, _201481] : [-(_201481 = _201477), _201481 = _201479, _201479 = _201477], (20 ^ _201022) ^ [_201818, _201820, _201822, _201824] : [-(lt(_201822, _201818)), lt(_201824, _201820), _201824 = _201822, _201820 = _201818], (34 ^ _201022) ^ [_202262, _202264, _202266, _202268] : [-(geq(_202266, _202262)), geq(_202268, _202264), _202268 = _202266, _202264 = _202262], (48 ^ _201022) ^ [_202706, _202708, _202710, _202712] : [-(gt(_202710, _202706)), gt(_202712, _202708), _202712 = _202710, _202708 = _202706], (62 ^ _201022) ^ [_203130, _203132, _203134, _203136] : [-(leq(_203134, _203130)), leq(_203136, _203132), _203136 = _203134, _203132 = _203130], (76 ^ _201022) ^ [_203586, _203588, _203590, _203592] : [-(uniform_int_rnd(_203592, _203588) = uniform_int_rnd(_203590, _203586)), _203592 = _203590, _203588 = _203586], (86 ^ _201022) ^ [_203945, _203947, _203949, _203951] : [-(tptp_const_array1(_203951, _203947) = tptp_const_array1(_203949, _203945)), _203951 = _203949, _203947 = _203945], (96 ^ _201022) ^ [_204332, _204334, _204336, _204338, _204340, _204342] : [-(tptp_const_array2(_204342, _204338, _204334) = tptp_const_array2(_204340, _204336, _204332)), _204342 = _204340, _204338 = _204336, _204334 = _204332], (110 ^ _201022) ^ [_204820, _204822, _204824, _204826] : [-(dim(_204826, _204822) = dim(_204824, _204820)), _204826 = _204824, _204822 = _204820], (120 ^ _201022) ^ [_205151, _205153] : [_205153 = _205151, -(inv(_205153) = inv(_205151))], (126 ^ _201022) ^ [_205397, _205399, _205401, _205403] : [-(tptp_msub(_205403, _205399) = tptp_msub(_205401, _205397)), _205403 = _205401, _205399 = _205397], (136 ^ _201022) ^ [_205756, _205758, _205760, _205762] : [-(tptp_madd(_205762, _205758) = tptp_madd(_205760, _205756)), _205762 = _205760, _205758 = _205756], (146 ^ _201022) ^ [_206115, _206117, _206119, _206121] : [-(tptp_mmul(_206121, _206117) = tptp_mmul(_206119, _206115)), _206121 = _206119, _206117 = _206115], (156 ^ _201022) ^ [_206446, _206448] : [_206448 = _206446, -(trans(_206448) = trans(_206446))], (162 ^ _201022) ^ [_206720, _206722, _206724, _206726, _206728, _206730] : [-(sum(_206730, _206726, _206722) = sum(_206728, _206724, _206720)), _206730 = _206728, _206726 = _206724, _206722 = _206720], (176 ^ _201022) ^ [_207208, _207210, _207212, _207214] : [-(plus(_207214, _207210) = plus(_207212, _207208)), _207214 = _207212, _207210 = _207208], (186 ^ _201022) ^ [_207539, _207541] : [_207541 = _207539, -(pred(_207541) = pred(_207539))], (192 ^ _201022) ^ [_207785, _207787, _207789, _207791] : [-(minus(_207791, _207787) = minus(_207789, _207785)), _207791 = _207789, _207787 = _207785], (202 ^ _201022) ^ [_208172, _208174, _208176, _208178, _208180, _208182] : [-(a_select3(_208182, _208178, _208174) = a_select3(_208180, _208176, _208172)), _208182 = _208180, _208178 = _208176, _208174 = _208172], (216 ^ _201022) ^ [_208716, _208718, _208720, _208722, _208724, _208726, _208728, _208730] : [-(tptp_update3(_208730, _208726, _208722, _208718) = tptp_update3(_208728, _208724, _208720, _208716)), _208730 = _208728, _208726 = _208724, _208722 = _208720, _208718 = _208716], (234 ^ _201022) ^ [_209377, _209379, _209381, _209383, _209385, _209387] : [-(tptp_update2(_209387, _209383, _209379) = tptp_update2(_209385, _209381, _209377)), _209387 = _209385, _209383 = _209381, _209379 = _209377], (248 ^ _201022) ^ [_209837, _209839] : [_209839 = _209837, -(succ(_209839) = succ(_209837))], (254 ^ _201022) ^ [_210063, _210065, _210067, _210069] : [-(a_select2(_210069, _210065) = a_select2(_210067, _210063)), _210069 = _210067, _210065 = _210063], (869 ^ _201022) ^ [] : [-(gt(n5, n4))], (871 ^ _201022) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _201022) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _201022) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _201022) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _201022) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _201022) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _201022) ^ [] : [-(gt(n4, n0))], (885 ^ _201022) ^ [] : [-(gt(n5, n0))], (887 ^ _201022) ^ [] : [-(gt(n1, n0))], (889 ^ _201022) ^ [] : [-(gt(n2, n0))], (891 ^ _201022) ^ [] : [-(gt(n3, n0))], (893 ^ _201022) ^ [] : [-(gt(n4, n1))], (895 ^ _201022) ^ [] : [-(gt(n5, n1))], (897 ^ _201022) ^ [] : [-(gt(n2, n1))], (899 ^ _201022) ^ [] : [-(gt(n3, n1))], (901 ^ _201022) ^ [] : [-(gt(n4, n2))], (903 ^ _201022) ^ [] : [-(gt(n5, n2))], (905 ^ _201022) ^ [] : [-(gt(n3, n2))], (907 ^ _201022) ^ [] : [-(gt(n4, n3))], (909 ^ _201022) ^ [] : [-(gt(n5, n3))], (911 ^ _201022) ^ [_237532] : [leq(n0, _237532), leq(_237532, n4), -(_237532 = n0), -(_237532 = n1), -(_237532 = n2), -(_237532 = n3), -(_237532 = n4)], (937 ^ _201022) ^ [_238153] : [leq(n0, _238153), leq(_238153, n5), -(_238153 = n0), -(_238153 = n1), -(_238153 = n2), -(_238153 = n3), -(_238153 = n4), -(_238153 = n5)], (967 ^ _201022) ^ [_238860] : [-(_238860 = n0), leq(n0, _238860), leq(_238860, n0)], (977 ^ _201022) ^ [_239135] : [leq(n0, _239135), leq(_239135, n1), -(_239135 = n0), -(_239135 = n1)], (991 ^ _201022) ^ [_239498] : [leq(n0, _239498), leq(_239498, n2), -(_239498 = n0), -(_239498 = n1), -(_239498 = n2)], (1031 ^ _201022) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _201022) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _201022) ^ [] : [-(succ(n0) = n1)], (1037 ^ _201022) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _201022) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _201022) ^ [_239947] : [leq(n0, _239947), leq(_239947, n3), -(_239947 = n0), -(_239947 = n1), -(_239947 = n2), -(_239947 = n3)], (264 ^ _201022) ^ [_210494, _210496] : [-(gt(_210496, _210494)), -(gt(_210494, _210496)), -(_210496 = _210494)], (274 ^ _201022) ^ [_210809, _210811, _210813] : [-(gt(_210813, _210809)), gt(_210813, _210811), gt(_210811, _210809)], (284 ^ _201022) ^ [_211088] : [gt(_211088, _211088)], (286 ^ _201022) ^ [_211166] : [-(leq(_211166, _211166))], (288 ^ _201022) ^ [_211287, _211289, _211291] : [-(leq(_211291, _211287)), leq(_211291, _211289), leq(_211289, _211287)], (298 ^ _201022) ^ [_211625, _211627] : [lt(_211627, _211625), -(gt(_211625, _211627))], (304 ^ _201022) ^ [_211787, _211789] : [gt(_211787, _211789), -(lt(_211789, _211787))], (310 ^ _201022) ^ [_212028, _212030] : [geq(_212030, _212028), -(leq(_212028, _212030))], (316 ^ _201022) ^ [_212190, _212192] : [leq(_212190, _212192), -(geq(_212192, _212190))], (322 ^ _201022) ^ [_212402, _212404] : [gt(_212402, _212404), -(leq(_212404, _212402))], (328 ^ _201022) ^ [_212612, _212614] : [-(gt(_212612, _212614)), leq(_212614, _212612), -(_212614 = _212612)], (338 ^ _201022) ^ [_212943, _212945] : [leq(_212945, pred(_212943)), -(gt(_212943, _212945))], (344 ^ _201022) ^ [_213109, _213111] : [gt(_213109, _213111), -(leq(_213111, pred(_213109)))], (350 ^ _201022) ^ [_213296] : [-(gt(succ(_213296), _213296))], (352 ^ _201022) ^ [_213405, _213407] : [leq(_213407, _213405), -(leq(_213407, succ(_213405)))], (358 ^ _201022) ^ [_213648, _213650] : [leq(_213650, _213648), -(gt(succ(_213648), _213650))], (364 ^ _201022) ^ [_213814, _213816] : [gt(succ(_213814), _213816), -(leq(_213816, _213814))], (370 ^ _201022) ^ [_214030, _214032] : [leq(n0, _214032), -(leq(uniform_int_rnd(_214030, _214032), _214032))], (376 ^ _201022) ^ [_214246, _214248] : [leq(n0, _214248), -(leq(n0, uniform_int_rnd(_214246, _214248)))], (382 ^ _201022) ^ [_214490, _214492, _214494, _214496] : [-(a_select2(tptp_const_array1(dim(_214494, _214492), _214490), _214496) = _214490), leq(_214494, _214496), leq(_214496, _214492)], (392 ^ _201022) ^ [_214897, _214899, _214901, _214903, _214905, _214907, _214909] : [-(a_select3(tptp_const_array2(dim(_214907, _214905), dim(_214901, _214899), _214897), _214909, _214903) = _214897), leq(_214907, _214909), leq(_214909, _214905), leq(_214901, _214903), leq(_214903, _214899)], (410 ^ _201022) ^ [_215492, _215494] : [413 ^ _201022 : [(414 ^ _201022) ^ [] : [-(leq(n0, 411 ^ [_215492, _215494]))], (416 ^ _201022) ^ [] : [-(leq(411 ^ [_215492, _215494], _215492))], (418 ^ _201022) ^ [] : [-(leq(n0, 412 ^ [_215492, _215494]))], (420 ^ _201022) ^ [] : [-(leq(412 ^ [_215492, _215494], _215492))], (422 ^ _201022) ^ [] : [a_select3(_215494, 411 ^ [_215492, _215494], 412 ^ [_215492, _215494]) = a_select3(_215494, 412 ^ [_215492, _215494], 411 ^ [_215492, _215494])]], 423 ^ _201022 : [(424 ^ _201022) ^ [_216249, _216251] : [-(a_select3(trans(_215494), _216251, _216249) = a_select3(trans(_215494), _216249, _216251)), leq(n0, _216251), leq(_216251, _215492), leq(n0, _216249), leq(_216249, _215492)]]], (442 ^ _201022) ^ [_216796, _216798] : [445 ^ _201022 : [(446 ^ _201022) ^ [] : [-(leq(n0, 443 ^ [_216796, _216798]))], (448 ^ _201022) ^ [] : [-(leq(443 ^ [_216796, _216798], _216796))], (450 ^ _201022) ^ [] : [-(leq(n0, 444 ^ [_216796, _216798]))], (452 ^ _201022) ^ [] : [-(leq(444 ^ [_216796, _216798], _216796))], (454 ^ _201022) ^ [] : [a_select3(_216798, 443 ^ [_216796, _216798], 444 ^ [_216796, _216798]) = a_select3(_216798, 444 ^ [_216796, _216798], 443 ^ [_216796, _216798])]], 455 ^ _201022 : [(456 ^ _201022) ^ [_217553, _217555] : [-(a_select3(inv(_216798), _217555, _217553) = a_select3(inv(_216798), _217553, _217555)), leq(n0, _217555), leq(_217555, _216796), leq(n0, _217553), leq(_217553, _216796)]]], (474 ^ _201022) ^ [_218100, _218102] : [477 ^ _201022 : [(478 ^ _201022) ^ [] : [-(leq(n0, 475 ^ [_218100, _218102]))], (480 ^ _201022) ^ [] : [-(leq(475 ^ [_218100, _218102], _218100))], (482 ^ _201022) ^ [] : [-(leq(n0, 476 ^ [_218100, _218102]))], (484 ^ _201022) ^ [] : [-(leq(476 ^ [_218100, _218102], _218100))], (486 ^ _201022) ^ [] : [a_select3(_218102, 475 ^ [_218100, _218102], 476 ^ [_218100, _218102]) = a_select3(_218102, 476 ^ [_218100, _218102], 475 ^ [_218100, _218102])]], 487 ^ _201022 : [(488 ^ _201022) ^ [_218913, _218915, _218917, _218919] : [-(a_select3(tptp_update3(_218102, _218915, _218915, _218913), _218919, _218917) = a_select3(tptp_update3(_218102, _218915, _218915, _218913), _218917, _218919)), leq(n0, _218919), leq(_218919, _218100), leq(n0, _218917), leq(_218917, _218100), leq(n0, _218915), leq(_218915, _218100)]]], (514 ^ _201022) ^ [_219732, _219734, _219736] : [519 ^ _201022 : [(520 ^ _201022) ^ [] : [-(leq(n0, 517 ^ [_219732, _219734, _219736]))], (522 ^ _201022) ^ [] : [-(leq(517 ^ [_219732, _219734, _219736], _219732))], (524 ^ _201022) ^ [] : [-(leq(n0, 518 ^ [_219732, _219734, _219736]))], (526 ^ _201022) ^ [] : [-(leq(518 ^ [_219732, _219734, _219736], _219732))], (528 ^ _201022) ^ [] : [a_select3(_219736, 517 ^ [_219732, _219734, _219736], 518 ^ [_219732, _219734, _219736]) = a_select3(_219736, 518 ^ [_219732, _219734, _219736], 517 ^ [_219732, _219734, _219736])]], 531 ^ _201022 : [(532 ^ _201022) ^ [] : [-(leq(n0, 529 ^ [_219732, _219734, _219736]))], (534 ^ _201022) ^ [] : [-(leq(529 ^ [_219732, _219734, _219736], _219732))], (536 ^ _201022) ^ [] : [-(leq(n0, 530 ^ [_219732, _219734, _219736]))], (538 ^ _201022) ^ [] : [-(leq(530 ^ [_219732, _219734, _219736], _219732))], (540 ^ _201022) ^ [] : [a_select3(_219734, 529 ^ [_219732, _219734, _219736], 530 ^ [_219732, _219734, _219736]) = a_select3(_219734, 530 ^ [_219732, _219734, _219736], 529 ^ [_219732, _219734, _219736])]], 541 ^ _201022 : [(542 ^ _201022) ^ [_221241, _221243] : [-(a_select3(tptp_madd(_219736, _219734), _221243, _221241) = a_select3(tptp_madd(_219736, _219734), _221241, _221243)), leq(n0, _221243), leq(_221243, _219732), leq(n0, _221241), leq(_221241, _219732)]]], (560 ^ _201022) ^ [_221827, _221829, _221831] : [565 ^ _201022 : [(566 ^ _201022) ^ [] : [-(leq(n0, 563 ^ [_221827, _221829, _221831]))], (568 ^ _201022) ^ [] : [-(leq(563 ^ [_221827, _221829, _221831], _221827))], (570 ^ _201022) ^ [] : [-(leq(n0, 564 ^ [_221827, _221829, _221831]))], (572 ^ _201022) ^ [] : [-(leq(564 ^ [_221827, _221829, _221831], _221827))], (574 ^ _201022) ^ [] : [a_select3(_221831, 563 ^ [_221827, _221829, _221831], 564 ^ [_221827, _221829, _221831]) = a_select3(_221831, 564 ^ [_221827, _221829, _221831], 563 ^ [_221827, _221829, _221831])]], 577 ^ _201022 : [(578 ^ _201022) ^ [] : [-(leq(n0, 575 ^ [_221827, _221829, _221831]))], (580 ^ _201022) ^ [] : [-(leq(575 ^ [_221827, _221829, _221831], _221827))], (582 ^ _201022) ^ [] : [-(leq(n0, 576 ^ [_221827, _221829, _221831]))], (584 ^ _201022) ^ [] : [-(leq(576 ^ [_221827, _221829, _221831], _221827))], (586 ^ _201022) ^ [] : [a_select3(_221829, 575 ^ [_221827, _221829, _221831], 576 ^ [_221827, _221829, _221831]) = a_select3(_221829, 576 ^ [_221827, _221829, _221831], 575 ^ [_221827, _221829, _221831])]], 587 ^ _201022 : [(588 ^ _201022) ^ [_223336, _223338] : [-(a_select3(tptp_msub(_221831, _221829), _223338, _223336) = a_select3(tptp_msub(_221831, _221829), _223336, _223338)), leq(n0, _223338), leq(_223338, _221827), leq(n0, _223336), leq(_223336, _221827)]]], (606 ^ _201022) ^ [_223922, _223924, _223926] : [609 ^ _201022 : [(610 ^ _201022) ^ [] : [-(leq(n0, 607 ^ [_223922, _223924, _223926]))], (612 ^ _201022) ^ [] : [-(leq(607 ^ [_223922, _223924, _223926], _223922))], (614 ^ _201022) ^ [] : [-(leq(n0, 608 ^ [_223922, _223924, _223926]))], (616 ^ _201022) ^ [] : [-(leq(608 ^ [_223922, _223924, _223926], _223922))], (618 ^ _201022) ^ [] : [a_select3(_223924, 607 ^ [_223922, _223924, _223926], 608 ^ [_223922, _223924, _223926]) = a_select3(_223924, 608 ^ [_223922, _223924, _223926], 607 ^ [_223922, _223924, _223926])]], 619 ^ _201022 : [(620 ^ _201022) ^ [_224735, _224737] : [-(a_select3(tptp_mmul(_223926, tptp_mmul(_223924, trans(_223926))), _224737, _224735) = a_select3(tptp_mmul(_223926, tptp_mmul(_223924, trans(_223926))), _224735, _224737)), leq(n0, _224737), leq(_224737, _223922), leq(n0, _224735), leq(_224735, _223922)]]], (638 ^ _201022) ^ [_225354, _225356, _225358, _225360] : [641 ^ _201022 : [(642 ^ _201022) ^ [] : [-(leq(n0, 639 ^ [_225354, _225356, _225358, _225360]))], (644 ^ _201022) ^ [] : [-(leq(639 ^ [_225354, _225356, _225358, _225360], _225354))], (646 ^ _201022) ^ [] : [-(leq(n0, 640 ^ [_225354, _225356, _225358, _225360]))], (648 ^ _201022) ^ [] : [-(leq(640 ^ [_225354, _225356, _225358, _225360], _225354))], (650 ^ _201022) ^ [] : [a_select3(_225358, 639 ^ [_225354, _225356, _225358, _225360], 640 ^ [_225354, _225356, _225358, _225360]) = a_select3(_225358, 640 ^ [_225354, _225356, _225358, _225360], 639 ^ [_225354, _225356, _225358, _225360])]], 651 ^ _201022 : [(652 ^ _201022) ^ [_226211, _226213] : [-(a_select3(tptp_mmul(_225360, tptp_mmul(_225358, trans(_225360))), _226213, _226211) = a_select3(tptp_mmul(_225360, tptp_mmul(_225358, trans(_225360))), _226211, _226213)), leq(n0, _226213), leq(_226213, _225356), leq(n0, _226211), leq(_226211, _225356)]]], (670 ^ _201022) ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920] : [675 ^ _201022 : [(676 ^ _201022) ^ [] : [-(leq(n0, 673 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (678 ^ _201022) ^ [] : [-(leq(673 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226906))], (680 ^ _201022) ^ [] : [-(leq(n0, 674 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (682 ^ _201022) ^ [] : [-(leq(674 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226906))], (684 ^ _201022) ^ [] : [a_select3(_226914, 673 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 674 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]) = a_select3(_226914, 674 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 673 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920])]], 689 ^ _201022 : [(690 ^ _201022) ^ [] : [-(leq(n0, 687 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (692 ^ _201022) ^ [] : [-(leq(687 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226908))], (694 ^ _201022) ^ [] : [-(leq(n0, 688 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (696 ^ _201022) ^ [] : [-(leq(688 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226908))], (698 ^ _201022) ^ [] : [a_select3(_226920, 687 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 688 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]) = a_select3(_226920, 688 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 687 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920])]], 701 ^ _201022 : [(702 ^ _201022) ^ [] : [-(leq(n0, 699 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (704 ^ _201022) ^ [] : [-(leq(699 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226908))], (706 ^ _201022) ^ [] : [-(leq(n0, 700 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]))], (708 ^ _201022) ^ [] : [-(leq(700 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], _226908))], (710 ^ _201022) ^ [] : [a_select3(_226910, 699 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 700 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920]) = a_select3(_226910, 700 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920], 699 ^ [_226906, _226908, _226910, _226912, _226914, _226916, _226918, _226920])]], 711 ^ _201022 : [(712 ^ _201022) ^ [_229834, _229836] : [-(a_select3(tptp_madd(_226920, tptp_mmul(_226918, tptp_mmul(tptp_madd(tptp_mmul(_226916, tptp_mmul(_226914, trans(_226916))), tptp_mmul(_226912, tptp_mmul(_226910, trans(_226912)))), trans(_226918)))), _229836, _229834) = a_select3(tptp_madd(_226920, tptp_mmul(_226918, tptp_mmul(tptp_madd(tptp_mmul(_226916, tptp_mmul(_226914, trans(_226916))), tptp_mmul(_226912, tptp_mmul(_226910, trans(_226912)))), trans(_226918)))), _229834, _229836)), leq(n0, _229836), leq(_229836, _226908), leq(n0, _229834), leq(_229834, _226908)]]], (730 ^ _201022) ^ [_230587] : [-(sum(n0, tptp_minus_1, _230587) = n0)], (732 ^ _201022) ^ [_230669] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _230669))], (734 ^ _201022) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _201022) ^ [_230804] : [-(plus(_230804, n1) = succ(_230804))], (738 ^ _201022) ^ [_230887] : [-(plus(n1, _230887) = succ(_230887))], (740 ^ _201022) ^ [_230970] : [-(plus(_230970, n2) = succ(succ(_230970)))], (742 ^ _201022) ^ [_231055] : [-(plus(n2, _231055) = succ(succ(_231055)))], (744 ^ _201022) ^ [_231140] : [-(plus(_231140, n3) = succ(succ(succ(_231140))))], (746 ^ _201022) ^ [_231227] : [-(plus(n3, _231227) = succ(succ(succ(_231227))))], (748 ^ _201022) ^ [_231314] : [-(plus(_231314, n4) = succ(succ(succ(succ(_231314)))))], (750 ^ _201022) ^ [_231403] : [-(plus(n4, _231403) = succ(succ(succ(succ(_231403)))))], (752 ^ _201022) ^ [_231492] : [-(plus(_231492, n5) = succ(succ(succ(succ(succ(_231492))))))], (754 ^ _201022) ^ [_231583] : [-(plus(n5, _231583) = succ(succ(succ(succ(succ(_231583))))))], (756 ^ _201022) ^ [_231674] : [-(minus(_231674, n1) = pred(_231674))], (758 ^ _201022) ^ [_231757] : [-(pred(succ(_231757)) = _231757)], (760 ^ _201022) ^ [_231839] : [-(succ(pred(_231839)) = _231839)], (762 ^ _201022) ^ [_231979, _231981] : [leq(succ(_231981), succ(_231979)), -(leq(_231981, _231979))], (768 ^ _201022) ^ [_232149, _232151] : [leq(_232151, _232149), -(leq(succ(_232151), succ(_232149)))], (774 ^ _201022) ^ [_232369, _232371] : [leq(succ(_232371), _232369), -(gt(_232369, _232371))], (780 ^ _201022) ^ [_232583, _232585] : [leq(minus(_232585, _232583), _232585), -(leq(n0, _232583))], (786 ^ _201022) ^ [_232812, _232814, _232816, _232818] : [-(a_select3(tptp_update3(_232818, _232816, _232814, _232812), _232816, _232814) = _232812)], (788 ^ _201022) ^ [_233004, _233006, _233008, _233010, _233012, _233014, _233016] : [-(a_select3(tptp_update3(_233008, _233016, _233014, _233004), _233012, _233010) = _233006), -(_233016 = _233012), _233014 = _233010, a_select3(_233008, _233012, _233010) = _233006], (802 ^ _201022) ^ [_233547, _233549, _233551, _233553, _233555, _233557] : [-(a_select3(tptp_update3(_233549, _233553, _233551, _233547), _233557, _233555) = _233547), 807 ^ _201022 : [(808 ^ _201022) ^ [] : [-(leq(n0, 805 ^ [_233547, _233549, _233551, _233553, _233555, _233557]))], (810 ^ _201022) ^ [] : [-(leq(n0, 806 ^ [_233547, _233549, _233551, _233553, _233555, _233557]))], (812 ^ _201022) ^ [] : [-(leq(805 ^ [_233547, _233549, _233551, _233553, _233555, _233557], _233553))], (814 ^ _201022) ^ [] : [-(leq(806 ^ [_233547, _233549, _233551, _233553, _233555, _233557], _233551))], (816 ^ _201022) ^ [] : [a_select3(_233549, 805 ^ [_233547, _233549, _233551, _233553, _233555, _233557], 806 ^ [_233547, _233549, _233551, _233553, _233555, _233557]) = _233547]], leq(n0, _233557), leq(_233557, _233553), leq(n0, _233555), leq(_233555, _233551)], (834 ^ _201022) ^ [_234889, _234891, _234893] : [-(a_select2(tptp_update2(_234893, _234891, _234889), _234891) = _234889)], (836 ^ _201022) ^ [_235049, _235051, _235053, _235055, _235057] : [-(a_select2(tptp_update2(_235053, _235057, _235049), _235055) = _235051), -(_235057 = _235055), a_select2(_235053, _235055) = _235051], (865 ^ _201022) ^ [] : [-(true)], (867 ^ _201022) ^ [] : [def = use], (846 ^ _201022) ^ [_235429, _235431, _235433, _235435] : [-(a_select2(tptp_update2(_235431, _235433, _235429), _235435) = _235429), 850 ^ _201022 : [(851 ^ _201022) ^ [] : [-(leq(n0, 849 ^ [_235429, _235431, _235433, _235435]))], (853 ^ _201022) ^ [] : [-(leq(849 ^ [_235429, _235431, _235433, _235435], _235433))], (855 ^ _201022) ^ [] : [a_select2(_235431, 849 ^ [_235429, _235431, _235433, _235435]) = _235429]], leq(n0, _235435), leq(_235435, _235433)]], input).
% 22.25/22.04  ncf('1',plain,[gt(pv1325, pv1325)],start(284 ^ 0,bind([[_211088], [pv1325]]))).
% 22.25/22.04  ncf('1.1',plain,[-(gt(pv1325, pv1325)), -(gt(pv1325, pv1325)), -(pv1325 = pv1325)],extension(264 ^ 1,bind([[_210494, _210496], [pv1325, pv1325]]))).
% 22.25/22.04  ncf('1.1.1',plain,[gt(pv1325, pv1325)],reduction('1')).
% 22.25/22.04  ncf('1.1.2',plain,[pv1325 = pv1325, -(geq(pv1325, n0)), geq(pv1325, n2), n2 = n0],extension(34 ^ 2,bind([[_202262, _202264, _202266, _202268], [n0, n2, pv1325, pv1325]]))).
% 22.25/22.04  ncf('1.1.2.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 3,bind([[_202262, _202264, _202266, _202268], [n0, n0, pv1325, pv1325]]))).
% 22.25/22.04  ncf('1.1.2.1.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 4,bind([[_202262, _202264, _202266, _202268], [n0, n0, pv1325, pv1325]]))).
% 22.25/22.04  ncf('1.1.2.1.1.1',plain,[geq(pv1325, n0), -(leq(n0, pv1325))],extension(310 ^ 5,bind([[_212028, _212030], [n0, pv1325]]))).
% 22.25/22.04  ncf('1.1.2.1.1.1.1',plain,[leq(n0, pv1325)],extension(1059 ^ 6)).
% 22.25/22.04  ncf('1.1.2.1.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 22.25/22.04  ncf('1.1.2.1.1.3',plain,[-(n0 = n0)],extension(2 ^ 5,bind([[_201166], [n0]]))).
% 22.25/22.04  ncf('1.1.2.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 22.25/22.04  ncf('1.1.2.1.3',plain,[-(n0 = n0)],extension(2 ^ 4,bind([[_201166], [n0]]))).
% 22.25/22.04  ncf('1.1.2.2',plain,[-(geq(pv1325, n2)), leq(n2, pv1325)],extension(316 ^ 3,bind([[_212190, _212192], [n2, pv1325]]))).
% 22.25/22.04  ncf('1.1.2.2.1',plain,[-(leq(n2, pv1325))],extension(1047 ^ 4)).
% 22.25/22.04  ncf('1.1.2.3',plain,[-(n2 = n0), -(gt(n2, n0)), -(gt(n0, n2))],extension(264 ^ 3,bind([[_210494, _210496], [n0, n2]]))).
% 22.25/22.04  ncf('1.1.2.3.1',plain,[gt(n2, n0), -(leq(n0, n2))],extension(322 ^ 4,bind([[_212402, _212404], [n2, n0]]))).
% 22.25/22.04  ncf('1.1.2.3.1.1',plain,[leq(n0, n2), -(leq(n0, pv1325)), leq(n2, pv1325)],extension(288 ^ 5,bind([[_211287, _211289, _211291], [pv1325, n2, n0]]))).
% 22.25/22.04  ncf('1.1.2.3.1.1.1',plain,[leq(n0, pv1325)],extension(1059 ^ 6)).
% 22.25/22.04  ncf('1.1.2.3.1.1.2',plain,[-(leq(n2, pv1325))],extension(1047 ^ 6)).
% 22.25/22.04  ncf('1.1.2.3.2',plain,[gt(n0, n2), -(gt(n0, n0)), gt(n2, n0)],extension(274 ^ 4,bind([[_210809, _210811, _210813], [n0, n2, n0]]))).
% 22.25/22.04  ncf('1.1.2.3.2.1',plain,[gt(n0, n0)],extension(284 ^ 5,bind([[_211088], [n0]]))).
% 22.25/22.04  ncf('1.1.2.3.2.2',plain,[-(gt(n2, n0))],extension(889 ^ 5)).
% 22.25/22.04  %-----------------------------------------------------
% 22.25/22.04  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------