%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV133+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 43.42s 42.71s
% Output   : Proof 43.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWV133+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n029.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 02:40:43 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 43.42/42.71  
% 43.42/42.71  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.42/42.71  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.42/42.71  %-----------------------------------------------------
% 43.42/42.71  ncf(matrix, plain, [(1051 ^ _252225) ^ [] : [-(leq(s_best7, n3))], (1059 ^ _252225) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_best7)))], (1049 ^ _252225) ^ [] : [-(leq(n2, pv1325))], (1053 ^ _252225) ^ [] : [-(leq(s_sworst7, n3))], (1041 ^ _252225) ^ [] : [leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_worst7))], (1043 ^ _252225) ^ [] : [-(leq(n0, s_best7))], (1045 ^ _252225) ^ [] : [-(leq(n0, s_sworst7))], (1047 ^ _252225) ^ [] : [-(leq(n0, s_worst7))], (1055 ^ _252225) ^ [] : [-(leq(s_worst7, n3))], (1057 ^ _252225) ^ [] : [-(leq(pv1325, n3))], (1061 ^ _252225) ^ [] : [leq(n0, pv1325)], !, (96 ^ _212427) ^ [_215717, _215719, _215721, _215723, _215725, _215727] : [-(tptp_const_array2(_215727, _215723, _215719) = tptp_const_array2(_215725, _215721, _215717)), _215727 = _215725, _215723 = _215721, _215719 = _215717], (734 ^ _212427) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _212427) ^ [_226282, _226284, _226286, _226288, _226290, _226292, _226294] : [-(a_select3(tptp_const_array2(dim(_226292, _226290), dim(_226286, _226284), _226282), _226294, _226288) = _226282), leq(_226292, _226294), leq(_226294, _226290), leq(_226286, _226288), leq(_226288, _226284)], (86 ^ _212427) ^ [_215330, _215332, _215334, _215336] : [-(tptp_const_array1(_215336, _215332) = tptp_const_array1(_215334, _215330)), _215336 = _215334, _215332 = _215330], (1039 ^ _212427) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _212427) ^ [_219170, _219172, _219174, _219176] : [-(minus(_219176, _219172) = minus(_219174, _219170)), _219176 = _219174, _219172 = _219170], (146 ^ _212427) ^ [_217500, _217502, _217504, _217506] : [-(tptp_mmul(_217506, _217502) = tptp_mmul(_217504, _217500)), _217506 = _217504, _217502 = _217500], (893 ^ _212427) ^ [] : [-(gt(n4, n1))], (889 ^ _212427) ^ [] : [-(gt(n2, n0))], (288 ^ _212427) ^ [_222672, _222674, _222676] : [-(leq(_222676, _222672)), leq(_222676, _222674), leq(_222674, _222672)], (474 ^ _212427) ^ [_229485, _229487] : [477 ^ _212427 : [(478 ^ _212427) ^ [] : [-(leq(n0, 475 ^ [_229485, _229487]))], (482 ^ _212427) ^ [] : [-(leq(n0, 476 ^ [_229485, _229487]))], (486 ^ _212427) ^ [] : [a_select3(_229487, 475 ^ [_229485, _229487], 476 ^ [_229485, _229487]) = a_select3(_229487, 476 ^ [_229485, _229487], 475 ^ [_229485, _229487])], (484 ^ _212427) ^ [] : [-(leq(476 ^ [_229485, _229487], _229485))], (480 ^ _212427) ^ [] : [-(leq(475 ^ [_229485, _229487], _229485))]], 487 ^ _212427 : [(488 ^ _212427) ^ [_230298, _230300, _230302, _230304] : [-(a_select3(tptp_update3(_229487, _230300, _230300, _230298), _230304, _230302) = a_select3(tptp_update3(_229487, _230300, _230300, _230298), _230302, _230304)), leq(n0, _230304), leq(_230304, _229485), leq(n0, _230302), leq(_230302, _229485), leq(n0, _230300), leq(_230300, _229485)]]], (370 ^ _212427) ^ [_225415, _225417] : [leq(n0, _225417), -(leq(uniform_int_rnd(_225415, _225417), _225417))], (76 ^ _212427) ^ [_214971, _214973, _214975, _214977] : [-(uniform_int_rnd(_214977, _214973) = uniform_int_rnd(_214975, _214971)), _214977 = _214975, _214973 = _214971], (186 ^ _212427) ^ [_218924, _218926] : [_218926 = _218924, -(pred(_218926) = pred(_218924))], (316 ^ _212427) ^ [_223575, _223577] : [leq(_223575, _223577), -(geq(_223577, _223575))], (905 ^ _212427) ^ [] : [-(gt(n3, n2))], (732 ^ _212427) ^ [_242054] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242054))], (248 ^ _212427) ^ [_221222, _221224] : [_221224 = _221222, -(succ(_221224) = succ(_221222))], (991 ^ _212427) ^ [_250883] : [leq(n0, _250883), leq(_250883, n2), -(_250883 = n0), -(_250883 = n1), -(_250883 = n2)], (350 ^ _212427) ^ [_224681] : [-(gt(succ(_224681), _224681))], (742 ^ _212427) ^ [_242440] : [-(plus(n2, _242440) = succ(succ(_242440)))], (977 ^ _212427) ^ [_250520] : [leq(n0, _250520), leq(_250520, n1), -(_250520 = n0), -(_250520 = n1)], (286 ^ _212427) ^ [_222551] : [-(leq(_222551, _222551))], (344 ^ _212427) ^ [_224494, _224496] : [gt(_224494, _224496), -(leq(_224496, pred(_224494)))], (2 ^ _212427) ^ [_212551] : [-(_212551 = _212551)], (10 ^ _212427) ^ [_212862, _212864, _212866] : [-(_212866 = _212862), _212866 = _212864, _212864 = _212862], (1035 ^ _212427) ^ [] : [-(succ(n0) = n1)], (877 ^ _212427) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _212427) ^ [_236739, _236741, _236743, _236745] : [641 ^ _212427 : [(642 ^ _212427) ^ [] : [-(leq(n0, 639 ^ [_236739, _236741, _236743, _236745]))], (646 ^ _212427) ^ [] : [-(leq(n0, 640 ^ [_236739, _236741, _236743, _236745]))], (650 ^ _212427) ^ [] : [a_select3(_236743, 639 ^ [_236739, _236741, _236743, _236745], 640 ^ [_236739, _236741, _236743, _236745]) = a_select3(_236743, 640 ^ [_236739, _236741, _236743, _236745], 639 ^ [_236739, _236741, _236743, _236745])], (648 ^ _212427) ^ [] : [-(leq(640 ^ [_236739, _236741, _236743, _236745], _236739))], (644 ^ _212427) ^ [] : [-(leq(639 ^ [_236739, _236741, _236743, _236745], _236739))]], 651 ^ _212427 : [(652 ^ _212427) ^ [_237596, _237598] : [-(a_select3(tptp_mmul(_236745, tptp_mmul(_236743, trans(_236745))), _237598, _237596) = a_select3(tptp_mmul(_236745, tptp_mmul(_236743, trans(_236745))), _237596, _237598)), leq(n0, _237598), leq(_237598, _236741), leq(n0, _237596), leq(_237596, _236741)]]], (670 ^ _212427) ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305] : [675 ^ _212427 : [(676 ^ _212427) ^ [] : [-(leq(n0, 673 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (680 ^ _212427) ^ [] : [-(leq(n0, 674 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (684 ^ _212427) ^ [] : [a_select3(_238299, 673 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 674 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]) = a_select3(_238299, 674 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 673 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305])], (682 ^ _212427) ^ [] : [-(leq(674 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238291))], (678 ^ _212427) ^ [] : [-(leq(673 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238291))]], 689 ^ _212427 : [(690 ^ _212427) ^ [] : [-(leq(n0, 687 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (694 ^ _212427) ^ [] : [-(leq(n0, 688 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (698 ^ _212427) ^ [] : [a_select3(_238305, 687 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 688 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]) = a_select3(_238305, 688 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 687 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305])], (696 ^ _212427) ^ [] : [-(leq(688 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238293))], (692 ^ _212427) ^ [] : [-(leq(687 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238293))]], 701 ^ _212427 : [(702 ^ _212427) ^ [] : [-(leq(n0, 699 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (706 ^ _212427) ^ [] : [-(leq(n0, 700 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]))], (710 ^ _212427) ^ [] : [a_select3(_238295, 699 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 700 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305]) = a_select3(_238295, 700 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], 699 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305])], (708 ^ _212427) ^ [] : [-(leq(700 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238293))], (704 ^ _212427) ^ [] : [-(leq(699 ^ [_238291, _238293, _238295, _238297, _238299, _238301, _238303, _238305], _238293))]], 711 ^ _212427 : [(712 ^ _212427) ^ [_241219, _241221] : [-(a_select3(tptp_madd(_238305, tptp_mmul(_238303, tptp_mmul(tptp_madd(tptp_mmul(_238301, tptp_mmul(_238299, trans(_238301))), tptp_mmul(_238297, tptp_mmul(_238295, trans(_238297)))), trans(_238303)))), _241221, _241219) = a_select3(tptp_madd(_238305, tptp_mmul(_238303, tptp_mmul(tptp_madd(tptp_mmul(_238301, tptp_mmul(_238299, trans(_238301))), tptp_mmul(_238297, tptp_mmul(_238295, trans(_238297)))), trans(_238303)))), _241219, _241221)), leq(n0, _241221), leq(_241221, _238293), leq(n0, _241219), leq(_241219, _238293)]]], (873 ^ _212427) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _212427) ^ [_235307, _235309, _235311] : [609 ^ _212427 : [(610 ^ _212427) ^ [] : [-(leq(n0, 607 ^ [_235307, _235309, _235311]))], (614 ^ _212427) ^ [] : [-(leq(n0, 608 ^ [_235307, _235309, _235311]))], (618 ^ _212427) ^ [] : [a_select3(_235309, 607 ^ [_235307, _235309, _235311], 608 ^ [_235307, _235309, _235311]) = a_select3(_235309, 608 ^ [_235307, _235309, _235311], 607 ^ [_235307, _235309, _235311])], (616 ^ _212427) ^ [] : [-(leq(608 ^ [_235307, _235309, _235311], _235307))], (612 ^ _212427) ^ [] : [-(leq(607 ^ [_235307, _235309, _235311], _235307))]], 619 ^ _212427 : [(620 ^ _212427) ^ [_236120, _236122] : [-(a_select3(tptp_mmul(_235311, tptp_mmul(_235309, trans(_235311))), _236122, _236120) = a_select3(tptp_mmul(_235311, tptp_mmul(_235309, trans(_235311))), _236120, _236122)), leq(n0, _236122), leq(_236122, _235307), leq(n0, _236120), leq(_236120, _235307)]]], (756 ^ _212427) ^ [_243059] : [-(minus(_243059, n1) = pred(_243059))], (254 ^ _212427) ^ [_221448, _221450, _221452, _221454] : [-(a_select2(_221454, _221450) = a_select2(_221452, _221448)), _221454 = _221452, _221450 = _221448], (891 ^ _212427) ^ [] : [-(gt(n3, n0))], (264 ^ _212427) ^ [_221879, _221881] : [-(gt(_221881, _221879)), -(gt(_221879, _221881)), -(_221881 = _221879)], (869 ^ _212427) ^ [] : [-(gt(n5, n4))], (156 ^ _212427) ^ [_217831, _217833] : [_217833 = _217831, -(trans(_217833) = trans(_217831))], (382 ^ _212427) ^ [_225875, _225877, _225879, _225881] : [-(a_select2(tptp_const_array1(dim(_225879, _225877), _225875), _225881) = _225875), leq(_225879, _225881), leq(_225881, _225877)], (865 ^ _212427) ^ [] : [-(true)], (364 ^ _212427) ^ [_225199, _225201] : [gt(succ(_225199), _225201), -(leq(_225201, _225199))], (883 ^ _212427) ^ [] : [-(gt(n4, n0))], (911 ^ _212427) ^ [_248917] : [leq(n0, _248917), leq(_248917, n4), -(_248917 = n0), -(_248917 = n1), -(_248917 = n2), -(_248917 = n3), -(_248917 = n4)], (352 ^ _212427) ^ [_224790, _224792] : [leq(_224792, _224790), -(leq(_224792, succ(_224790)))], (274 ^ _212427) ^ [_222194, _222196, _222198] : [-(gt(_222198, _222194)), gt(_222198, _222196), gt(_222196, _222194)], (20 ^ _212427) ^ [_213203, _213205, _213207, _213209] : [-(lt(_213207, _213203)), lt(_213209, _213205), _213209 = _213207, _213205 = _213203], (937 ^ _212427) ^ [_249538] : [leq(n0, _249538), leq(_249538, n5), -(_249538 = n0), -(_249538 = n1), -(_249538 = n2), -(_249538 = n3), -(_249538 = n4), -(_249538 = n5)], (1009 ^ _212427) ^ [_251332] : [leq(n0, _251332), leq(_251332, n3), -(_251332 = n0), -(_251332 = n1), -(_251332 = n2), -(_251332 = n3)], (162 ^ _212427) ^ [_218105, _218107, _218109, _218111, _218113, _218115] : [-(sum(_218115, _218111, _218107) = sum(_218113, _218109, _218105)), _218115 = _218113, _218111 = _218109, _218107 = _218105], (788 ^ _212427) ^ [_244389, _244391, _244393, _244395, _244397, _244399, _244401] : [-(a_select3(tptp_update3(_244393, _244401, _244399, _244389), _244397, _244395) = _244391), -(_244401 = _244397), _244399 = _244395, a_select3(_244393, _244397, _244395) = _244391], (298 ^ _212427) ^ [_223010, _223012] : [lt(_223012, _223010), -(gt(_223010, _223012))], (885 ^ _212427) ^ [] : [-(gt(n5, n0))], (34 ^ _212427) ^ [_213647, _213649, _213651, _213653] : [-(geq(_213651, _213647)), geq(_213653, _213649), _213653 = _213651, _213649 = _213647], (328 ^ _212427) ^ [_223997, _223999] : [-(gt(_223997, _223999)), leq(_223999, _223997), -(_223999 = _223997)], (740 ^ _212427) ^ [_242355] : [-(plus(_242355, n2) = succ(succ(_242355)))], (786 ^ _212427) ^ [_244197, _244199, _244201, _244203] : [-(a_select3(tptp_update3(_244203, _244201, _244199, _244197), _244201, _244199) = _244197)], (846 ^ _212427) ^ [_246814, _246816, _246818, _246820] : [-(a_select2(tptp_update2(_246816, _246818, _246814), _246820) = _246814), 850 ^ _212427 : [(855 ^ _212427) ^ [] : [a_select2(_246816, 849 ^ [_246814, _246816, _246818, _246820]) = _246814], (853 ^ _212427) ^ [] : [-(leq(849 ^ [_246814, _246816, _246818, _246820], _246818))], (851 ^ _212427) ^ [] : [-(leq(n0, 849 ^ [_246814, _246816, _246818, _246820]))]], leq(n0, _246820), leq(_246820, _246818)], (48 ^ _212427) ^ [_214091, _214093, _214095, _214097] : [-(gt(_214095, _214091)), gt(_214097, _214093), _214097 = _214095, _214093 = _214091], (284 ^ _212427) ^ [_222473] : [gt(_222473, _222473)], (752 ^ _212427) ^ [_242877] : [-(plus(_242877, n5) = succ(succ(succ(succ(succ(_242877))))))], (887 ^ _212427) ^ [] : [-(gt(n1, n0))], (758 ^ _212427) ^ [_243142] : [-(pred(succ(_243142)) = _243142)], (760 ^ _212427) ^ [_243224] : [-(succ(pred(_243224)) = _243224)], (1033 ^ _212427) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _212427) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _212427) ^ [_225631, _225633] : [leq(n0, _225633), -(leq(n0, uniform_int_rnd(_225631, _225633)))], (746 ^ _212427) ^ [_242612] : [-(plus(n3, _242612) = succ(succ(succ(_242612))))], (310 ^ _212427) ^ [_223413, _223415] : [geq(_223415, _223413), -(leq(_223413, _223415))], (338 ^ _212427) ^ [_224328, _224330] : [leq(_224330, pred(_224328)), -(gt(_224328, _224330))], (901 ^ _212427) ^ [] : [-(gt(n4, n2))], (62 ^ _212427) ^ [_214515, _214517, _214519, _214521] : [-(leq(_214519, _214515)), leq(_214521, _214517), _214521 = _214519, _214517 = _214515], (410 ^ _212427) ^ [_226877, _226879] : [413 ^ _212427 : [(414 ^ _212427) ^ [] : [-(leq(n0, 411 ^ [_226877, _226879]))], (418 ^ _212427) ^ [] : [-(leq(n0, 412 ^ [_226877, _226879]))], (422 ^ _212427) ^ [] : [a_select3(_226879, 411 ^ [_226877, _226879], 412 ^ [_226877, _226879]) = a_select3(_226879, 412 ^ [_226877, _226879], 411 ^ [_226877, _226879])], (420 ^ _212427) ^ [] : [-(leq(412 ^ [_226877, _226879], _226877))], (416 ^ _212427) ^ [] : [-(leq(411 ^ [_226877, _226879], _226877))]], 423 ^ _212427 : [(424 ^ _212427) ^ [_227634, _227636] : [-(a_select3(trans(_226879), _227636, _227634) = a_select3(trans(_226879), _227634, _227636)), leq(n0, _227636), leq(_227636, _226877), leq(n0, _227634), leq(_227634, _226877)]]], (202 ^ _212427) ^ [_219557, _219559, _219561, _219563, _219565, _219567] : [-(a_select3(_219567, _219563, _219559) = a_select3(_219565, _219561, _219557)), _219567 = _219565, _219563 = _219561, _219559 = _219557], (176 ^ _212427) ^ [_218593, _218595, _218597, _218599] : [-(plus(_218599, _218595) = plus(_218597, _218593)), _218599 = _218597, _218595 = _218593], (768 ^ _212427) ^ [_243534, _243536] : [leq(_243536, _243534), -(leq(succ(_243536), succ(_243534)))], (1031 ^ _212427) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _212427) ^ [_241972] : [-(sum(n0, tptp_minus_1, _241972) = n0)], (560 ^ _212427) ^ [_233212, _233214, _233216] : [565 ^ _212427 : [(566 ^ _212427) ^ [] : [-(leq(n0, 563 ^ [_233212, _233214, _233216]))], (570 ^ _212427) ^ [] : [-(leq(n0, 564 ^ [_233212, _233214, _233216]))], (574 ^ _212427) ^ [] : [a_select3(_233216, 563 ^ [_233212, _233214, _233216], 564 ^ [_233212, _233214, _233216]) = a_select3(_233216, 564 ^ [_233212, _233214, _233216], 563 ^ [_233212, _233214, _233216])], (572 ^ _212427) ^ [] : [-(leq(564 ^ [_233212, _233214, _233216], _233212))], (568 ^ _212427) ^ [] : [-(leq(563 ^ [_233212, _233214, _233216], _233212))]], 577 ^ _212427 : [(578 ^ _212427) ^ [] : [-(leq(n0, 575 ^ [_233212, _233214, _233216]))], (582 ^ _212427) ^ [] : [-(leq(n0, 576 ^ [_233212, _233214, _233216]))], (586 ^ _212427) ^ [] : [a_select3(_233214, 575 ^ [_233212, _233214, _233216], 576 ^ [_233212, _233214, _233216]) = a_select3(_233214, 576 ^ [_233212, _233214, _233216], 575 ^ [_233212, _233214, _233216])], (584 ^ _212427) ^ [] : [-(leq(576 ^ [_233212, _233214, _233216], _233212))], (580 ^ _212427) ^ [] : [-(leq(575 ^ [_233212, _233214, _233216], _233212))]], 587 ^ _212427 : [(588 ^ _212427) ^ [_234721, _234723] : [-(a_select3(tptp_msub(_233216, _233214), _234723, _234721) = a_select3(tptp_msub(_233216, _233214), _234721, _234723)), leq(n0, _234723), leq(_234723, _233212), leq(n0, _234721), leq(_234721, _233212)]]], (967 ^ _212427) ^ [_250245] : [-(_250245 = n0), leq(n0, _250245), leq(_250245, n0)], (110 ^ _212427) ^ [_216205, _216207, _216209, _216211] : [-(dim(_216211, _216207) = dim(_216209, _216205)), _216211 = _216209, _216207 = _216205], (442 ^ _212427) ^ [_228181, _228183] : [445 ^ _212427 : [(446 ^ _212427) ^ [] : [-(leq(n0, 443 ^ [_228181, _228183]))], (450 ^ _212427) ^ [] : [-(leq(n0, 444 ^ [_228181, _228183]))], (454 ^ _212427) ^ [] : [a_select3(_228183, 443 ^ [_228181, _228183], 444 ^ [_228181, _228183]) = a_select3(_228183, 444 ^ [_228181, _228183], 443 ^ [_228181, _228183])], (452 ^ _212427) ^ [] : [-(leq(444 ^ [_228181, _228183], _228181))], (448 ^ _212427) ^ [] : [-(leq(443 ^ [_228181, _228183], _228181))]], 455 ^ _212427 : [(456 ^ _212427) ^ [_228938, _228940] : [-(a_select3(inv(_228183), _228940, _228938) = a_select3(inv(_228183), _228938, _228940)), leq(n0, _228940), leq(_228940, _228181), leq(n0, _228938), leq(_228938, _228181)]]], (1037 ^ _212427) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _212427) ^ [_216536, _216538] : [_216538 = _216536, -(inv(_216538) = inv(_216536))], (907 ^ _212427) ^ [] : [-(gt(n4, n3))], (358 ^ _212427) ^ [_225033, _225035] : [leq(_225035, _225033), -(gt(succ(_225033), _225035))], (836 ^ _212427) ^ [_246434, _246436, _246438, _246440, _246442] : [-(a_select2(tptp_update2(_246438, _246442, _246434), _246440) = _246436), -(_246442 = _246440), a_select2(_246438, _246440) = _246436], (879 ^ _212427) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _212427) ^ [_242272] : [-(plus(n1, _242272) = succ(_242272))], (867 ^ _212427) ^ [] : [def = use], (4 ^ _212427) ^ [_212658, _212660] : [_212660 = _212658, -(_212658 = _212660)], (895 ^ _212427) ^ [] : [-(gt(n5, n1))], (909 ^ _212427) ^ [] : [-(gt(n5, n3))], (750 ^ _212427) ^ [_242788] : [-(plus(n4, _242788) = succ(succ(succ(succ(_242788)))))], (322 ^ _212427) ^ [_223787, _223789] : [gt(_223787, _223789), -(leq(_223789, _223787))], (875 ^ _212427) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _212427) ^ [_244932, _244934, _244936, _244938, _244940, _244942] : [-(a_select3(tptp_update3(_244934, _244938, _244936, _244932), _244942, _244940) = _244932), 807 ^ _212427 : [(808 ^ _212427) ^ [] : [-(leq(n0, 805 ^ [_244932, _244934, _244936, _244938, _244940, _244942]))], (812 ^ _212427) ^ [] : [-(leq(805 ^ [_244932, _244934, _244936, _244938, _244940, _244942], _244938))], (816 ^ _212427) ^ [] : [a_select3(_244934, 805 ^ [_244932, _244934, _244936, _244938, _244940, _244942], 806 ^ [_244932, _244934, _244936, _244938, _244940, _244942]) = _244932], (814 ^ _212427) ^ [] : [-(leq(806 ^ [_244932, _244934, _244936, _244938, _244940, _244942], _244936))], (810 ^ _212427) ^ [] : [-(leq(n0, 806 ^ [_244932, _244934, _244936, _244938, _244940, _244942]))]], leq(n0, _244942), leq(_244942, _244938), leq(n0, _244940), leq(_244940, _244936)], (234 ^ _212427) ^ [_220762, _220764, _220766, _220768, _220770, _220772] : [-(tptp_update2(_220772, _220768, _220764) = tptp_update2(_220770, _220766, _220762)), _220772 = _220770, _220768 = _220766, _220764 = _220762], (774 ^ _212427) ^ [_243754, _243756] : [leq(succ(_243756), _243754), -(gt(_243754, _243756))], (897 ^ _212427) ^ [] : [-(gt(n2, n1))], (881 ^ _212427) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _212427) ^ [_220101, _220103, _220105, _220107, _220109, _220111, _220113, _220115] : [-(tptp_update3(_220115, _220111, _220107, _220103) = tptp_update3(_220113, _220109, _220105, _220101)), _220115 = _220113, _220111 = _220109, _220107 = _220105, _220103 = _220101], (304 ^ _212427) ^ [_223172, _223174] : [gt(_223172, _223174), -(lt(_223174, _223172))], (762 ^ _212427) ^ [_243364, _243366] : [leq(succ(_243366), succ(_243364)), -(leq(_243366, _243364))], (514 ^ _212427) ^ [_231117, _231119, _231121] : [519 ^ _212427 : [(520 ^ _212427) ^ [] : [-(leq(n0, 517 ^ [_231117, _231119, _231121]))], (524 ^ _212427) ^ [] : [-(leq(n0, 518 ^ [_231117, _231119, _231121]))], (528 ^ _212427) ^ [] : [a_select3(_231121, 517 ^ [_231117, _231119, _231121], 518 ^ [_231117, _231119, _231121]) = a_select3(_231121, 518 ^ [_231117, _231119, _231121], 517 ^ [_231117, _231119, _231121])], (526 ^ _212427) ^ [] : [-(leq(518 ^ [_231117, _231119, _231121], _231117))], (522 ^ _212427) ^ [] : [-(leq(517 ^ [_231117, _231119, _231121], _231117))]], 531 ^ _212427 : [(532 ^ _212427) ^ [] : [-(leq(n0, 529 ^ [_231117, _231119, _231121]))], (536 ^ _212427) ^ [] : [-(leq(n0, 530 ^ [_231117, _231119, _231121]))], (540 ^ _212427) ^ [] : [a_select3(_231119, 529 ^ [_231117, _231119, _231121], 530 ^ [_231117, _231119, _231121]) = a_select3(_231119, 530 ^ [_231117, _231119, _231121], 529 ^ [_231117, _231119, _231121])], (538 ^ _212427) ^ [] : [-(leq(530 ^ [_231117, _231119, _231121], _231117))], (534 ^ _212427) ^ [] : [-(leq(529 ^ [_231117, _231119, _231121], _231117))]], 541 ^ _212427 : [(542 ^ _212427) ^ [_232626, _232628] : [-(a_select3(tptp_madd(_231121, _231119), _232628, _232626) = a_select3(tptp_madd(_231121, _231119), _232626, _232628)), leq(n0, _232628), leq(_232628, _231117), leq(n0, _232626), leq(_232626, _231117)]]], (136 ^ _212427) ^ [_217141, _217143, _217145, _217147] : [-(tptp_madd(_217147, _217143) = tptp_madd(_217145, _217141)), _217147 = _217145, _217143 = _217141], (899 ^ _212427) ^ [] : [-(gt(n3, n1))], (780 ^ _212427) ^ [_243968, _243970] : [leq(minus(_243970, _243968), _243970), -(leq(n0, _243968))], (748 ^ _212427) ^ [_242699] : [-(plus(_242699, n4) = succ(succ(succ(succ(_242699)))))], (126 ^ _212427) ^ [_216782, _216784, _216786, _216788] : [-(tptp_msub(_216788, _216784) = tptp_msub(_216786, _216782)), _216788 = _216786, _216784 = _216782], (903 ^ _212427) ^ [] : [-(gt(n5, n2))], (834 ^ _212427) ^ [_246274, _246276, _246278] : [-(a_select2(tptp_update2(_246278, _246276, _246274), _246276) = _246274)], (744 ^ _212427) ^ [_242525] : [-(plus(_242525, n3) = succ(succ(succ(_242525))))], (736 ^ _212427) ^ [_242189] : [-(plus(_242189, n1) = succ(_242189))], (754 ^ _212427) ^ [_242968] : [-(plus(n5, _242968) = succ(succ(succ(succ(succ(_242968))))))]], input).
% 43.42/42.71  ncf('1',plain,[-(leq(n2, pv1325))],start(1049 ^ 0)).
% 43.42/42.71  ncf('1.1',plain,[leq(n2, pv1325), -(leq(n0, pv1325)), leq(n0, n2)],extension(288 ^ 1,bind([[_222672, _222674, _222676], [pv1325, n2, n0]]))).
% 43.42/42.71  ncf('1.1.1',plain,[leq(n0, pv1325)],extension(1061 ^ 2)).
% 43.42/42.71  ncf('1.1.2',plain,[-(leq(n0, n2)), gt(n2, n0)],extension(322 ^ 2,bind([[_223787, _223789], [n2, n0]]))).
% 43.42/42.71  ncf('1.1.2.1',plain,[-(gt(n2, n0))],extension(889 ^ 3)).
% 43.42/42.71  %-----------------------------------------------------
% 43.42/42.71  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------