%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV137+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 12:20:02 EDT 2023

% Result   : Theorem 27.79s 27.30s
% Output   : Proof 27.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV137+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n025.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 02:55:18 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 27.79/27.30  
% 27.79/27.30  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 27.79/27.30  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.79/27.30  %-----------------------------------------------------
% 27.79/27.30  ncf(matrix, plain, [(1041 ^ _201520) ^ [] : [-(leq(n0, s_best7))], (1043 ^ _201520) ^ [] : [-(leq(n0, s_sworst7))], (1045 ^ _201520) ^ [] : [-(leq(n0, s_worst7))], (1047 ^ _201520) ^ [] : [-(leq(n2, pv1325))], (1049 ^ _201520) ^ [] : [-(leq(s_best7, n3))], (1051 ^ _201520) ^ [] : [-(leq(s_sworst7, n3))], (1053 ^ _201520) ^ [] : [-(leq(s_worst7, n3))], (1055 ^ _201520) ^ [] : [-(leq(pv1325, n3))], (1057 ^ _201520) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_best7)))], (1059 ^ _201520) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_worst7)))], (1061 ^ _201520) ^ [] : [leq(n0, pv1325)], (2 ^ _201520) ^ [_201664] : [-(_201664 = _201664)], (4 ^ _201520) ^ [_201771, _201773] : [_201773 = _201771, -(_201771 = _201773)], (10 ^ _201520) ^ [_201975, _201977, _201979] : [-(_201979 = _201975), _201979 = _201977, _201977 = _201975], (20 ^ _201520) ^ [_202316, _202318, _202320, _202322] : [-(lt(_202320, _202316)), lt(_202322, _202318), _202322 = _202320, _202318 = _202316], (34 ^ _201520) ^ [_202760, _202762, _202764, _202766] : [-(geq(_202764, _202760)), geq(_202766, _202762), _202766 = _202764, _202762 = _202760], (48 ^ _201520) ^ [_203204, _203206, _203208, _203210] : [-(gt(_203208, _203204)), gt(_203210, _203206), _203210 = _203208, _203206 = _203204], (62 ^ _201520) ^ [_203628, _203630, _203632, _203634] : [-(leq(_203632, _203628)), leq(_203634, _203630), _203634 = _203632, _203630 = _203628], (76 ^ _201520) ^ [_204084, _204086, _204088, _204090] : [-(uniform_int_rnd(_204090, _204086) = uniform_int_rnd(_204088, _204084)), _204090 = _204088, _204086 = _204084], (86 ^ _201520) ^ [_204443, _204445, _204447, _204449] : [-(tptp_const_array1(_204449, _204445) = tptp_const_array1(_204447, _204443)), _204449 = _204447, _204445 = _204443], (96 ^ _201520) ^ [_204830, _204832, _204834, _204836, _204838, _204840] : [-(tptp_const_array2(_204840, _204836, _204832) = tptp_const_array2(_204838, _204834, _204830)), _204840 = _204838, _204836 = _204834, _204832 = _204830], (110 ^ _201520) ^ [_205318, _205320, _205322, _205324] : [-(dim(_205324, _205320) = dim(_205322, _205318)), _205324 = _205322, _205320 = _205318], (120 ^ _201520) ^ [_205649, _205651] : [_205651 = _205649, -(inv(_205651) = inv(_205649))], (126 ^ _201520) ^ [_205895, _205897, _205899, _205901] : [-(tptp_msub(_205901, _205897) = tptp_msub(_205899, _205895)), _205901 = _205899, _205897 = _205895], (136 ^ _201520) ^ [_206254, _206256, _206258, _206260] : [-(tptp_madd(_206260, _206256) = tptp_madd(_206258, _206254)), _206260 = _206258, _206256 = _206254], (146 ^ _201520) ^ [_206613, _206615, _206617, _206619] : [-(tptp_mmul(_206619, _206615) = tptp_mmul(_206617, _206613)), _206619 = _206617, _206615 = _206613], (156 ^ _201520) ^ [_206944, _206946] : [_206946 = _206944, -(trans(_206946) = trans(_206944))], (162 ^ _201520) ^ [_207218, _207220, _207222, _207224, _207226, _207228] : [-(sum(_207228, _207224, _207220) = sum(_207226, _207222, _207218)), _207228 = _207226, _207224 = _207222, _207220 = _207218], (176 ^ _201520) ^ [_207706, _207708, _207710, _207712] : [-(plus(_207712, _207708) = plus(_207710, _207706)), _207712 = _207710, _207708 = _207706], (186 ^ _201520) ^ [_208037, _208039] : [_208039 = _208037, -(pred(_208039) = pred(_208037))], (192 ^ _201520) ^ [_208283, _208285, _208287, _208289] : [-(minus(_208289, _208285) = minus(_208287, _208283)), _208289 = _208287, _208285 = _208283], (202 ^ _201520) ^ [_208670, _208672, _208674, _208676, _208678, _208680] : [-(a_select3(_208680, _208676, _208672) = a_select3(_208678, _208674, _208670)), _208680 = _208678, _208676 = _208674, _208672 = _208670], (216 ^ _201520) ^ [_209214, _209216, _209218, _209220, _209222, _209224, _209226, _209228] : [-(tptp_update3(_209228, _209224, _209220, _209216) = tptp_update3(_209226, _209222, _209218, _209214)), _209228 = _209226, _209224 = _209222, _209220 = _209218, _209216 = _209214], (234 ^ _201520) ^ [_209875, _209877, _209879, _209881, _209883, _209885] : [-(tptp_update2(_209885, _209881, _209877) = tptp_update2(_209883, _209879, _209875)), _209885 = _209883, _209881 = _209879, _209877 = _209875], (248 ^ _201520) ^ [_210335, _210337] : [_210337 = _210335, -(succ(_210337) = succ(_210335))], (254 ^ _201520) ^ [_210561, _210563, _210565, _210567] : [-(a_select2(_210567, _210563) = a_select2(_210565, _210561)), _210567 = _210565, _210563 = _210561], (869 ^ _201520) ^ [] : [-(gt(n5, n4))], (871 ^ _201520) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _201520) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _201520) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _201520) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _201520) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _201520) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _201520) ^ [] : [-(gt(n4, n0))], (885 ^ _201520) ^ [] : [-(gt(n5, n0))], (887 ^ _201520) ^ [] : [-(gt(n1, n0))], (889 ^ _201520) ^ [] : [-(gt(n2, n0))], (891 ^ _201520) ^ [] : [-(gt(n3, n0))], (893 ^ _201520) ^ [] : [-(gt(n4, n1))], (895 ^ _201520) ^ [] : [-(gt(n5, n1))], (897 ^ _201520) ^ [] : [-(gt(n2, n1))], (899 ^ _201520) ^ [] : [-(gt(n3, n1))], (901 ^ _201520) ^ [] : [-(gt(n4, n2))], (903 ^ _201520) ^ [] : [-(gt(n5, n2))], (905 ^ _201520) ^ [] : [-(gt(n3, n2))], (907 ^ _201520) ^ [] : [-(gt(n4, n3))], (909 ^ _201520) ^ [] : [-(gt(n5, n3))], (911 ^ _201520) ^ [_238030] : [leq(n0, _238030), leq(_238030, n4), -(_238030 = n0), -(_238030 = n1), -(_238030 = n2), -(_238030 = n3), -(_238030 = n4)], (937 ^ _201520) ^ [_238651] : [leq(n0, _238651), leq(_238651, n5), -(_238651 = n0), -(_238651 = n1), -(_238651 = n2), -(_238651 = n3), -(_238651 = n4), -(_238651 = n5)], (967 ^ _201520) ^ [_239358] : [-(_239358 = n0), leq(n0, _239358), leq(_239358, n0)], (977 ^ _201520) ^ [_239633] : [leq(n0, _239633), leq(_239633, n1), -(_239633 = n0), -(_239633 = n1)], (991 ^ _201520) ^ [_239996] : [leq(n0, _239996), leq(_239996, n2), -(_239996 = n0), -(_239996 = n1), -(_239996 = n2)], (1031 ^ _201520) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _201520) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _201520) ^ [] : [-(succ(n0) = n1)], (1037 ^ _201520) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _201520) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _201520) ^ [_240445] : [leq(n0, _240445), leq(_240445, n3), -(_240445 = n0), -(_240445 = n1), -(_240445 = n2), -(_240445 = n3)], (264 ^ _201520) ^ [_210992, _210994] : [-(gt(_210994, _210992)), -(gt(_210992, _210994)), -(_210994 = _210992)], (274 ^ _201520) ^ [_211307, _211309, _211311] : [-(gt(_211311, _211307)), gt(_211311, _211309), gt(_211309, _211307)], (284 ^ _201520) ^ [_211586] : [gt(_211586, _211586)], (286 ^ _201520) ^ [_211664] : [-(leq(_211664, _211664))], (288 ^ _201520) ^ [_211785, _211787, _211789] : [-(leq(_211789, _211785)), leq(_211789, _211787), leq(_211787, _211785)], (298 ^ _201520) ^ [_212123, _212125] : [lt(_212125, _212123), -(gt(_212123, _212125))], (304 ^ _201520) ^ [_212285, _212287] : [gt(_212285, _212287), -(lt(_212287, _212285))], (310 ^ _201520) ^ [_212526, _212528] : [geq(_212528, _212526), -(leq(_212526, _212528))], (316 ^ _201520) ^ [_212688, _212690] : [leq(_212688, _212690), -(geq(_212690, _212688))], (322 ^ _201520) ^ [_212900, _212902] : [gt(_212900, _212902), -(leq(_212902, _212900))], (328 ^ _201520) ^ [_213110, _213112] : [-(gt(_213110, _213112)), leq(_213112, _213110), -(_213112 = _213110)], (338 ^ _201520) ^ [_213441, _213443] : [leq(_213443, pred(_213441)), -(gt(_213441, _213443))], (344 ^ _201520) ^ [_213607, _213609] : [gt(_213607, _213609), -(leq(_213609, pred(_213607)))], (350 ^ _201520) ^ [_213794] : [-(gt(succ(_213794), _213794))], (352 ^ _201520) ^ [_213903, _213905] : [leq(_213905, _213903), -(leq(_213905, succ(_213903)))], (358 ^ _201520) ^ [_214146, _214148] : [leq(_214148, _214146), -(gt(succ(_214146), _214148))], (364 ^ _201520) ^ [_214312, _214314] : [gt(succ(_214312), _214314), -(leq(_214314, _214312))], (370 ^ _201520) ^ [_214528, _214530] : [leq(n0, _214530), -(leq(uniform_int_rnd(_214528, _214530), _214530))], (376 ^ _201520) ^ [_214744, _214746] : [leq(n0, _214746), -(leq(n0, uniform_int_rnd(_214744, _214746)))], (382 ^ _201520) ^ [_214988, _214990, _214992, _214994] : [-(a_select2(tptp_const_array1(dim(_214992, _214990), _214988), _214994) = _214988), leq(_214992, _214994), leq(_214994, _214990)], (392 ^ _201520) ^ [_215395, _215397, _215399, _215401, _215403, _215405, _215407] : [-(a_select3(tptp_const_array2(dim(_215405, _215403), dim(_215399, _215397), _215395), _215407, _215401) = _215395), leq(_215405, _215407), leq(_215407, _215403), leq(_215399, _215401), leq(_215401, _215397)], (410 ^ _201520) ^ [_215990, _215992] : [413 ^ _201520 : [(414 ^ _201520) ^ [] : [-(leq(n0, 411 ^ [_215990, _215992]))], (416 ^ _201520) ^ [] : [-(leq(411 ^ [_215990, _215992], _215990))], (418 ^ _201520) ^ [] : [-(leq(n0, 412 ^ [_215990, _215992]))], (420 ^ _201520) ^ [] : [-(leq(412 ^ [_215990, _215992], _215990))], (422 ^ _201520) ^ [] : [a_select3(_215992, 411 ^ [_215990, _215992], 412 ^ [_215990, _215992]) = a_select3(_215992, 412 ^ [_215990, _215992], 411 ^ [_215990, _215992])]], 423 ^ _201520 : [(424 ^ _201520) ^ [_216747, _216749] : [-(a_select3(trans(_215992), _216749, _216747) = a_select3(trans(_215992), _216747, _216749)), leq(n0, _216749), leq(_216749, _215990), leq(n0, _216747), leq(_216747, _215990)]]], (442 ^ _201520) ^ [_217294, _217296] : [445 ^ _201520 : [(446 ^ _201520) ^ [] : [-(leq(n0, 443 ^ [_217294, _217296]))], (448 ^ _201520) ^ [] : [-(leq(443 ^ [_217294, _217296], _217294))], (450 ^ _201520) ^ [] : [-(leq(n0, 444 ^ [_217294, _217296]))], (452 ^ _201520) ^ [] : [-(leq(444 ^ [_217294, _217296], _217294))], (454 ^ _201520) ^ [] : [a_select3(_217296, 443 ^ [_217294, _217296], 444 ^ [_217294, _217296]) = a_select3(_217296, 444 ^ [_217294, _217296], 443 ^ [_217294, _217296])]], 455 ^ _201520 : [(456 ^ _201520) ^ [_218051, _218053] : [-(a_select3(inv(_217296), _218053, _218051) = a_select3(inv(_217296), _218051, _218053)), leq(n0, _218053), leq(_218053, _217294), leq(n0, _218051), leq(_218051, _217294)]]], (474 ^ _201520) ^ [_218598, _218600] : [477 ^ _201520 : [(478 ^ _201520) ^ [] : [-(leq(n0, 475 ^ [_218598, _218600]))], (480 ^ _201520) ^ [] : [-(leq(475 ^ [_218598, _218600], _218598))], (482 ^ _201520) ^ [] : [-(leq(n0, 476 ^ [_218598, _218600]))], (484 ^ _201520) ^ [] : [-(leq(476 ^ [_218598, _218600], _218598))], (486 ^ _201520) ^ [] : [a_select3(_218600, 475 ^ [_218598, _218600], 476 ^ [_218598, _218600]) = a_select3(_218600, 476 ^ [_218598, _218600], 475 ^ [_218598, _218600])]], 487 ^ _201520 : [(488 ^ _201520) ^ [_219411, _219413, _219415, _219417] : [-(a_select3(tptp_update3(_218600, _219413, _219413, _219411), _219417, _219415) = a_select3(tptp_update3(_218600, _219413, _219413, _219411), _219415, _219417)), leq(n0, _219417), leq(_219417, _218598), leq(n0, _219415), leq(_219415, _218598), leq(n0, _219413), leq(_219413, _218598)]]], (514 ^ _201520) ^ [_220230, _220232, _220234] : [519 ^ _201520 : [(520 ^ _201520) ^ [] : [-(leq(n0, 517 ^ [_220230, _220232, _220234]))], (522 ^ _201520) ^ [] : [-(leq(517 ^ [_220230, _220232, _220234], _220230))], (524 ^ _201520) ^ [] : [-(leq(n0, 518 ^ [_220230, _220232, _220234]))], (526 ^ _201520) ^ [] : [-(leq(518 ^ [_220230, _220232, _220234], _220230))], (528 ^ _201520) ^ [] : [a_select3(_220234, 517 ^ [_220230, _220232, _220234], 518 ^ [_220230, _220232, _220234]) = a_select3(_220234, 518 ^ [_220230, _220232, _220234], 517 ^ [_220230, _220232, _220234])]], 531 ^ _201520 : [(532 ^ _201520) ^ [] : [-(leq(n0, 529 ^ [_220230, _220232, _220234]))], (534 ^ _201520) ^ [] : [-(leq(529 ^ [_220230, _220232, _220234], _220230))], (536 ^ _201520) ^ [] : [-(leq(n0, 530 ^ [_220230, _220232, _220234]))], (538 ^ _201520) ^ [] : [-(leq(530 ^ [_220230, _220232, _220234], _220230))], (540 ^ _201520) ^ [] : [a_select3(_220232, 529 ^ [_220230, _220232, _220234], 530 ^ [_220230, _220232, _220234]) = a_select3(_220232, 530 ^ [_220230, _220232, _220234], 529 ^ [_220230, _220232, _220234])]], 541 ^ _201520 : [(542 ^ _201520) ^ [_221739, _221741] : [-(a_select3(tptp_madd(_220234, _220232), _221741, _221739) = a_select3(tptp_madd(_220234, _220232), _221739, _221741)), leq(n0, _221741), leq(_221741, _220230), leq(n0, _221739), leq(_221739, _220230)]]], (560 ^ _201520) ^ [_222325, _222327, _222329] : [565 ^ _201520 : [(566 ^ _201520) ^ [] : [-(leq(n0, 563 ^ [_222325, _222327, _222329]))], (568 ^ _201520) ^ [] : [-(leq(563 ^ [_222325, _222327, _222329], _222325))], (570 ^ _201520) ^ [] : [-(leq(n0, 564 ^ [_222325, _222327, _222329]))], (572 ^ _201520) ^ [] : [-(leq(564 ^ [_222325, _222327, _222329], _222325))], (574 ^ _201520) ^ [] : [a_select3(_222329, 563 ^ [_222325, _222327, _222329], 564 ^ [_222325, _222327, _222329]) = a_select3(_222329, 564 ^ [_222325, _222327, _222329], 563 ^ [_222325, _222327, _222329])]], 577 ^ _201520 : [(578 ^ _201520) ^ [] : [-(leq(n0, 575 ^ [_222325, _222327, _222329]))], (580 ^ _201520) ^ [] : [-(leq(575 ^ [_222325, _222327, _222329], _222325))], (582 ^ _201520) ^ [] : [-(leq(n0, 576 ^ [_222325, _222327, _222329]))], (584 ^ _201520) ^ [] : [-(leq(576 ^ [_222325, _222327, _222329], _222325))], (586 ^ _201520) ^ [] : [a_select3(_222327, 575 ^ [_222325, _222327, _222329], 576 ^ [_222325, _222327, _222329]) = a_select3(_222327, 576 ^ [_222325, _222327, _222329], 575 ^ [_222325, _222327, _222329])]], 587 ^ _201520 : [(588 ^ _201520) ^ [_223834, _223836] : [-(a_select3(tptp_msub(_222329, _222327), _223836, _223834) = a_select3(tptp_msub(_222329, _222327), _223834, _223836)), leq(n0, _223836), leq(_223836, _222325), leq(n0, _223834), leq(_223834, _222325)]]], (606 ^ _201520) ^ [_224420, _224422, _224424] : [609 ^ _201520 : [(610 ^ _201520) ^ [] : [-(leq(n0, 607 ^ [_224420, _224422, _224424]))], (612 ^ _201520) ^ [] : [-(leq(607 ^ [_224420, _224422, _224424], _224420))], (614 ^ _201520) ^ [] : [-(leq(n0, 608 ^ [_224420, _224422, _224424]))], (616 ^ _201520) ^ [] : [-(leq(608 ^ [_224420, _224422, _224424], _224420))], (618 ^ _201520) ^ [] : [a_select3(_224422, 607 ^ [_224420, _224422, _224424], 608 ^ [_224420, _224422, _224424]) = a_select3(_224422, 608 ^ [_224420, _224422, _224424], 607 ^ [_224420, _224422, _224424])]], 619 ^ _201520 : [(620 ^ _201520) ^ [_225233, _225235] : [-(a_select3(tptp_mmul(_224424, tptp_mmul(_224422, trans(_224424))), _225235, _225233) = a_select3(tptp_mmul(_224424, tptp_mmul(_224422, trans(_224424))), _225233, _225235)), leq(n0, _225235), leq(_225235, _224420), leq(n0, _225233), leq(_225233, _224420)]]], (638 ^ _201520) ^ [_225852, _225854, _225856, _225858] : [641 ^ _201520 : [(642 ^ _201520) ^ [] : [-(leq(n0, 639 ^ [_225852, _225854, _225856, _225858]))], (644 ^ _201520) ^ [] : [-(leq(639 ^ [_225852, _225854, _225856, _225858], _225852))], (646 ^ _201520) ^ [] : [-(leq(n0, 640 ^ [_225852, _225854, _225856, _225858]))], (648 ^ _201520) ^ [] : [-(leq(640 ^ [_225852, _225854, _225856, _225858], _225852))], (650 ^ _201520) ^ [] : [a_select3(_225856, 639 ^ [_225852, _225854, _225856, _225858], 640 ^ [_225852, _225854, _225856, _225858]) = a_select3(_225856, 640 ^ [_225852, _225854, _225856, _225858], 639 ^ [_225852, _225854, _225856, _225858])]], 651 ^ _201520 : [(652 ^ _201520) ^ [_226709, _226711] : [-(a_select3(tptp_mmul(_225858, tptp_mmul(_225856, trans(_225858))), _226711, _226709) = a_select3(tptp_mmul(_225858, tptp_mmul(_225856, trans(_225858))), _226709, _226711)), leq(n0, _226711), leq(_226711, _225854), leq(n0, _226709), leq(_226709, _225854)]]], (670 ^ _201520) ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418] : [675 ^ _201520 : [(676 ^ _201520) ^ [] : [-(leq(n0, 673 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (678 ^ _201520) ^ [] : [-(leq(673 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227404))], (680 ^ _201520) ^ [] : [-(leq(n0, 674 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (682 ^ _201520) ^ [] : [-(leq(674 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227404))], (684 ^ _201520) ^ [] : [a_select3(_227412, 673 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 674 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]) = a_select3(_227412, 674 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 673 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418])]], 689 ^ _201520 : [(690 ^ _201520) ^ [] : [-(leq(n0, 687 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (692 ^ _201520) ^ [] : [-(leq(687 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227406))], (694 ^ _201520) ^ [] : [-(leq(n0, 688 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (696 ^ _201520) ^ [] : [-(leq(688 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227406))], (698 ^ _201520) ^ [] : [a_select3(_227418, 687 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 688 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]) = a_select3(_227418, 688 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 687 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418])]], 701 ^ _201520 : [(702 ^ _201520) ^ [] : [-(leq(n0, 699 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (704 ^ _201520) ^ [] : [-(leq(699 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227406))], (706 ^ _201520) ^ [] : [-(leq(n0, 700 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]))], (708 ^ _201520) ^ [] : [-(leq(700 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], _227406))], (710 ^ _201520) ^ [] : [a_select3(_227408, 699 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 700 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418]) = a_select3(_227408, 700 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418], 699 ^ [_227404, _227406, _227408, _227410, _227412, _227414, _227416, _227418])]], 711 ^ _201520 : [(712 ^ _201520) ^ [_230332, _230334] : [-(a_select3(tptp_madd(_227418, tptp_mmul(_227416, tptp_mmul(tptp_madd(tptp_mmul(_227414, tptp_mmul(_227412, trans(_227414))), tptp_mmul(_227410, tptp_mmul(_227408, trans(_227410)))), trans(_227416)))), _230334, _230332) = a_select3(tptp_madd(_227418, tptp_mmul(_227416, tptp_mmul(tptp_madd(tptp_mmul(_227414, tptp_mmul(_227412, trans(_227414))), tptp_mmul(_227410, tptp_mmul(_227408, trans(_227410)))), trans(_227416)))), _230332, _230334)), leq(n0, _230334), leq(_230334, _227406), leq(n0, _230332), leq(_230332, _227406)]]], (730 ^ _201520) ^ [_231085] : [-(sum(n0, tptp_minus_1, _231085) = n0)], (732 ^ _201520) ^ [_231167] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _231167))], (734 ^ _201520) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _201520) ^ [_231302] : [-(plus(_231302, n1) = succ(_231302))], (738 ^ _201520) ^ [_231385] : [-(plus(n1, _231385) = succ(_231385))], (740 ^ _201520) ^ [_231468] : [-(plus(_231468, n2) = succ(succ(_231468)))], (742 ^ _201520) ^ [_231553] : [-(plus(n2, _231553) = succ(succ(_231553)))], (744 ^ _201520) ^ [_231638] : [-(plus(_231638, n3) = succ(succ(succ(_231638))))], (746 ^ _201520) ^ [_231725] : [-(plus(n3, _231725) = succ(succ(succ(_231725))))], (748 ^ _201520) ^ [_231812] : [-(plus(_231812, n4) = succ(succ(succ(succ(_231812)))))], (750 ^ _201520) ^ [_231901] : [-(plus(n4, _231901) = succ(succ(succ(succ(_231901)))))], (752 ^ _201520) ^ [_231990] : [-(plus(_231990, n5) = succ(succ(succ(succ(succ(_231990))))))], (754 ^ _201520) ^ [_232081] : [-(plus(n5, _232081) = succ(succ(succ(succ(succ(_232081))))))], (756 ^ _201520) ^ [_232172] : [-(minus(_232172, n1) = pred(_232172))], (758 ^ _201520) ^ [_232255] : [-(pred(succ(_232255)) = _232255)], (760 ^ _201520) ^ [_232337] : [-(succ(pred(_232337)) = _232337)], (762 ^ _201520) ^ [_232477, _232479] : [leq(succ(_232479), succ(_232477)), -(leq(_232479, _232477))], (768 ^ _201520) ^ [_232647, _232649] : [leq(_232649, _232647), -(leq(succ(_232649), succ(_232647)))], (774 ^ _201520) ^ [_232867, _232869] : [leq(succ(_232869), _232867), -(gt(_232867, _232869))], (780 ^ _201520) ^ [_233081, _233083] : [leq(minus(_233083, _233081), _233083), -(leq(n0, _233081))], (786 ^ _201520) ^ [_233310, _233312, _233314, _233316] : [-(a_select3(tptp_update3(_233316, _233314, _233312, _233310), _233314, _233312) = _233310)], (788 ^ _201520) ^ [_233502, _233504, _233506, _233508, _233510, _233512, _233514] : [-(a_select3(tptp_update3(_233506, _233514, _233512, _233502), _233510, _233508) = _233504), -(_233514 = _233510), _233512 = _233508, a_select3(_233506, _233510, _233508) = _233504], (802 ^ _201520) ^ [_234045, _234047, _234049, _234051, _234053, _234055] : [-(a_select3(tptp_update3(_234047, _234051, _234049, _234045), _234055, _234053) = _234045), 807 ^ _201520 : [(808 ^ _201520) ^ [] : [-(leq(n0, 805 ^ [_234045, _234047, _234049, _234051, _234053, _234055]))], (810 ^ _201520) ^ [] : [-(leq(n0, 806 ^ [_234045, _234047, _234049, _234051, _234053, _234055]))], (812 ^ _201520) ^ [] : [-(leq(805 ^ [_234045, _234047, _234049, _234051, _234053, _234055], _234051))], (814 ^ _201520) ^ [] : [-(leq(806 ^ [_234045, _234047, _234049, _234051, _234053, _234055], _234049))], (816 ^ _201520) ^ [] : [a_select3(_234047, 805 ^ [_234045, _234047, _234049, _234051, _234053, _234055], 806 ^ [_234045, _234047, _234049, _234051, _234053, _234055]) = _234045]], leq(n0, _234055), leq(_234055, _234051), leq(n0, _234053), leq(_234053, _234049)], (834 ^ _201520) ^ [_235387, _235389, _235391] : [-(a_select2(tptp_update2(_235391, _235389, _235387), _235389) = _235387)], (836 ^ _201520) ^ [_235547, _235549, _235551, _235553, _235555] : [-(a_select2(tptp_update2(_235551, _235555, _235547), _235553) = _235549), -(_235555 = _235553), a_select2(_235551, _235553) = _235549], (865 ^ _201520) ^ [] : [-(true)], (867 ^ _201520) ^ [] : [def = use], (846 ^ _201520) ^ [_235927, _235929, _235931, _235933] : [-(a_select2(tptp_update2(_235929, _235931, _235927), _235933) = _235927), 850 ^ _201520 : [(851 ^ _201520) ^ [] : [-(leq(n0, 849 ^ [_235927, _235929, _235931, _235933]))], (853 ^ _201520) ^ [] : [-(leq(849 ^ [_235927, _235929, _235931, _235933], _235931))], (855 ^ _201520) ^ [] : [a_select2(_235929, 849 ^ [_235927, _235929, _235931, _235933]) = _235927]], leq(n0, _235933), leq(_235933, _235931)]], input).
% 27.79/27.30  ncf('1',plain,[gt(pv1325, pv1325)],start(284 ^ 0,bind([[_211586], [pv1325]]))).
% 27.79/27.30  ncf('1.1',plain,[-(gt(pv1325, pv1325)), -(gt(pv1325, pv1325)), -(pv1325 = pv1325)],extension(264 ^ 1,bind([[_210992, _210994], [pv1325, pv1325]]))).
% 27.79/27.30  ncf('1.1.1',plain,[gt(pv1325, pv1325)],reduction('1')).
% 27.79/27.30  ncf('1.1.2',plain,[pv1325 = pv1325, -(geq(pv1325, n0)), geq(pv1325, n2), n2 = n0],extension(34 ^ 2,bind([[_202760, _202762, _202764, _202766], [n0, n2, pv1325, pv1325]]))).
% 27.79/27.30  ncf('1.1.2.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 3,bind([[_202760, _202762, _202764, _202766], [n0, n0, pv1325, pv1325]]))).
% 27.79/27.30  ncf('1.1.2.1.1',plain,[geq(pv1325, n0), -(geq(pv1325, n0)), pv1325 = pv1325, n0 = n0],extension(34 ^ 4,bind([[_202760, _202762, _202764, _202766], [n0, n0, pv1325, pv1325]]))).
% 27.79/27.30  ncf('1.1.2.1.1.1',plain,[geq(pv1325, n0), -(leq(n0, pv1325))],extension(310 ^ 5,bind([[_212526, _212528], [n0, pv1325]]))).
% 27.79/27.30  ncf('1.1.2.1.1.1.1',plain,[leq(n0, pv1325)],extension(1061 ^ 6)).
% 27.79/27.30  ncf('1.1.2.1.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 27.79/27.30  ncf('1.1.2.1.1.3',plain,[-(n0 = n0)],extension(2 ^ 5,bind([[_201664], [n0]]))).
% 27.79/27.30  ncf('1.1.2.1.2',plain,[-(pv1325 = pv1325)],reduction('1.1')).
% 27.79/27.30  ncf('1.1.2.1.3',plain,[-(n0 = n0)],extension(2 ^ 4,bind([[_201664], [n0]]))).
% 27.79/27.30  ncf('1.1.2.2',plain,[-(geq(pv1325, n2)), leq(n2, pv1325)],extension(316 ^ 3,bind([[_212688, _212690], [n2, pv1325]]))).
% 27.79/27.30  ncf('1.1.2.2.1',plain,[-(leq(n2, pv1325))],extension(1047 ^ 4)).
% 27.79/27.30  ncf('1.1.2.3',plain,[-(n2 = n0), -(gt(n2, n0)), -(gt(n0, n2))],extension(264 ^ 3,bind([[_210992, _210994], [n0, n2]]))).
% 27.79/27.30  ncf('1.1.2.3.1',plain,[gt(n2, n0), -(leq(n0, n2))],extension(322 ^ 4,bind([[_212900, _212902], [n2, n0]]))).
% 27.79/27.30  ncf('1.1.2.3.1.1',plain,[leq(n0, n2), -(leq(n0, pv1325)), leq(n2, pv1325)],extension(288 ^ 5,bind([[_211785, _211787, _211789], [pv1325, n2, n0]]))).
% 27.79/27.30  ncf('1.1.2.3.1.1.1',plain,[leq(n0, pv1325)],extension(1061 ^ 6)).
% 27.79/27.30  ncf('1.1.2.3.1.1.2',plain,[-(leq(n2, pv1325))],extension(1047 ^ 6)).
% 27.79/27.30  ncf('1.1.2.3.2',plain,[gt(n0, n2), -(gt(n0, n0)), gt(n2, n0)],extension(274 ^ 4,bind([[_211307, _211309, _211311], [n0, n2, n0]]))).
% 27.79/27.30  ncf('1.1.2.3.2.1',plain,[gt(n0, n0)],extension(284 ^ 5,bind([[_211586], [n0]]))).
% 27.79/27.30  ncf('1.1.2.3.2.2',plain,[-(gt(n2, n0))],extension(889 ^ 5)).
% 27.79/27.30  %-----------------------------------------------------
% 27.79/27.30  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------