%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV134+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 43.67s 42.71s
% Output   : Proof 43.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV134+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:45:53 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.67/42.71  
% 43.67/42.71  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.67/42.71  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.67/42.71  %-----------------------------------------------------
% 43.67/42.71  ncf(matrix, plain, [(1057 ^ _252772) ^ [] : [-(leq(pv1325, n3))], (1047 ^ _252772) ^ [] : [-(leq(n0, s_worst7))], (1063 ^ _252772) ^ [] : [leq(n0, pv1325)], (1043 ^ _252772) ^ [] : [-(leq(n0, s_best7))], (1049 ^ _252772) ^ [] : [-(leq(n2, pv1325))], (1051 ^ _252772) ^ [] : [-(leq(s_best7, n3))], (1061 ^ _252772) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_sworst7)))], (1045 ^ _252772) ^ [] : [-(leq(n0, s_sworst7))], (1041 ^ _252772) ^ [] : [leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_worst7))], (1053 ^ _252772) ^ [] : [-(leq(s_sworst7, n3))], (1059 ^ _252772) ^ [] : [-(leq(a_select2(s_values7, pv1325), a_select2(s_values7, s_best7)))], (1055 ^ _252772) ^ [] : [-(leq(s_worst7, n3))], !, (96 ^ _212974) ^ [_216264, _216266, _216268, _216270, _216272, _216274] : [-(tptp_const_array2(_216274, _216270, _216266) = tptp_const_array2(_216272, _216268, _216264)), _216274 = _216272, _216270 = _216268, _216266 = _216264], (734 ^ _212974) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _212974) ^ [_226829, _226831, _226833, _226835, _226837, _226839, _226841] : [-(a_select3(tptp_const_array2(dim(_226839, _226837), dim(_226833, _226831), _226829), _226841, _226835) = _226829), leq(_226839, _226841), leq(_226841, _226837), leq(_226833, _226835), leq(_226835, _226831)], (86 ^ _212974) ^ [_215877, _215879, _215881, _215883] : [-(tptp_const_array1(_215883, _215879) = tptp_const_array1(_215881, _215877)), _215883 = _215881, _215879 = _215877], (1039 ^ _212974) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _212974) ^ [_219717, _219719, _219721, _219723] : [-(minus(_219723, _219719) = minus(_219721, _219717)), _219723 = _219721, _219719 = _219717], (146 ^ _212974) ^ [_218047, _218049, _218051, _218053] : [-(tptp_mmul(_218053, _218049) = tptp_mmul(_218051, _218047)), _218053 = _218051, _218049 = _218047], (893 ^ _212974) ^ [] : [-(gt(n4, n1))], (889 ^ _212974) ^ [] : [-(gt(n2, n0))], (288 ^ _212974) ^ [_223219, _223221, _223223] : [-(leq(_223223, _223219)), leq(_223223, _223221), leq(_223221, _223219)], (474 ^ _212974) ^ [_230032, _230034] : [477 ^ _212974 : [(478 ^ _212974) ^ [] : [-(leq(n0, 475 ^ [_230032, _230034]))], (482 ^ _212974) ^ [] : [-(leq(n0, 476 ^ [_230032, _230034]))], (486 ^ _212974) ^ [] : [a_select3(_230034, 475 ^ [_230032, _230034], 476 ^ [_230032, _230034]) = a_select3(_230034, 476 ^ [_230032, _230034], 475 ^ [_230032, _230034])], (484 ^ _212974) ^ [] : [-(leq(476 ^ [_230032, _230034], _230032))], (480 ^ _212974) ^ [] : [-(leq(475 ^ [_230032, _230034], _230032))]], 487 ^ _212974 : [(488 ^ _212974) ^ [_230845, _230847, _230849, _230851] : [-(a_select3(tptp_update3(_230034, _230847, _230847, _230845), _230851, _230849) = a_select3(tptp_update3(_230034, _230847, _230847, _230845), _230849, _230851)), leq(n0, _230851), leq(_230851, _230032), leq(n0, _230849), leq(_230849, _230032), leq(n0, _230847), leq(_230847, _230032)]]], (370 ^ _212974) ^ [_225962, _225964] : [leq(n0, _225964), -(leq(uniform_int_rnd(_225962, _225964), _225964))], (76 ^ _212974) ^ [_215518, _215520, _215522, _215524] : [-(uniform_int_rnd(_215524, _215520) = uniform_int_rnd(_215522, _215518)), _215524 = _215522, _215520 = _215518], (186 ^ _212974) ^ [_219471, _219473] : [_219473 = _219471, -(pred(_219473) = pred(_219471))], (316 ^ _212974) ^ [_224122, _224124] : [leq(_224122, _224124), -(geq(_224124, _224122))], (905 ^ _212974) ^ [] : [-(gt(n3, n2))], (732 ^ _212974) ^ [_242601] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242601))], (248 ^ _212974) ^ [_221769, _221771] : [_221771 = _221769, -(succ(_221771) = succ(_221769))], (991 ^ _212974) ^ [_251430] : [leq(n0, _251430), leq(_251430, n2), -(_251430 = n0), -(_251430 = n1), -(_251430 = n2)], (350 ^ _212974) ^ [_225228] : [-(gt(succ(_225228), _225228))], (742 ^ _212974) ^ [_242987] : [-(plus(n2, _242987) = succ(succ(_242987)))], (977 ^ _212974) ^ [_251067] : [leq(n0, _251067), leq(_251067, n1), -(_251067 = n0), -(_251067 = n1)], (286 ^ _212974) ^ [_223098] : [-(leq(_223098, _223098))], (344 ^ _212974) ^ [_225041, _225043] : [gt(_225041, _225043), -(leq(_225043, pred(_225041)))], (2 ^ _212974) ^ [_213098] : [-(_213098 = _213098)], (10 ^ _212974) ^ [_213409, _213411, _213413] : [-(_213413 = _213409), _213413 = _213411, _213411 = _213409], (1035 ^ _212974) ^ [] : [-(succ(n0) = n1)], (877 ^ _212974) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _212974) ^ [_237286, _237288, _237290, _237292] : [641 ^ _212974 : [(642 ^ _212974) ^ [] : [-(leq(n0, 639 ^ [_237286, _237288, _237290, _237292]))], (646 ^ _212974) ^ [] : [-(leq(n0, 640 ^ [_237286, _237288, _237290, _237292]))], (650 ^ _212974) ^ [] : [a_select3(_237290, 639 ^ [_237286, _237288, _237290, _237292], 640 ^ [_237286, _237288, _237290, _237292]) = a_select3(_237290, 640 ^ [_237286, _237288, _237290, _237292], 639 ^ [_237286, _237288, _237290, _237292])], (648 ^ _212974) ^ [] : [-(leq(640 ^ [_237286, _237288, _237290, _237292], _237286))], (644 ^ _212974) ^ [] : [-(leq(639 ^ [_237286, _237288, _237290, _237292], _237286))]], 651 ^ _212974 : [(652 ^ _212974) ^ [_238143, _238145] : [-(a_select3(tptp_mmul(_237292, tptp_mmul(_237290, trans(_237292))), _238145, _238143) = a_select3(tptp_mmul(_237292, tptp_mmul(_237290, trans(_237292))), _238143, _238145)), leq(n0, _238145), leq(_238145, _237288), leq(n0, _238143), leq(_238143, _237288)]]], (670 ^ _212974) ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852] : [675 ^ _212974 : [(676 ^ _212974) ^ [] : [-(leq(n0, 673 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (680 ^ _212974) ^ [] : [-(leq(n0, 674 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (684 ^ _212974) ^ [] : [a_select3(_238846, 673 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 674 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]) = a_select3(_238846, 674 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 673 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852])], (682 ^ _212974) ^ [] : [-(leq(674 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238838))], (678 ^ _212974) ^ [] : [-(leq(673 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238838))]], 689 ^ _212974 : [(690 ^ _212974) ^ [] : [-(leq(n0, 687 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (694 ^ _212974) ^ [] : [-(leq(n0, 688 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (698 ^ _212974) ^ [] : [a_select3(_238852, 687 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 688 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]) = a_select3(_238852, 688 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 687 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852])], (696 ^ _212974) ^ [] : [-(leq(688 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238840))], (692 ^ _212974) ^ [] : [-(leq(687 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238840))]], 701 ^ _212974 : [(702 ^ _212974) ^ [] : [-(leq(n0, 699 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (706 ^ _212974) ^ [] : [-(leq(n0, 700 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]))], (710 ^ _212974) ^ [] : [a_select3(_238842, 699 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 700 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852]) = a_select3(_238842, 700 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], 699 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852])], (708 ^ _212974) ^ [] : [-(leq(700 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238840))], (704 ^ _212974) ^ [] : [-(leq(699 ^ [_238838, _238840, _238842, _238844, _238846, _238848, _238850, _238852], _238840))]], 711 ^ _212974 : [(712 ^ _212974) ^ [_241766, _241768] : [-(a_select3(tptp_madd(_238852, tptp_mmul(_238850, tptp_mmul(tptp_madd(tptp_mmul(_238848, tptp_mmul(_238846, trans(_238848))), tptp_mmul(_238844, tptp_mmul(_238842, trans(_238844)))), trans(_238850)))), _241768, _241766) = a_select3(tptp_madd(_238852, tptp_mmul(_238850, tptp_mmul(tptp_madd(tptp_mmul(_238848, tptp_mmul(_238846, trans(_238848))), tptp_mmul(_238844, tptp_mmul(_238842, trans(_238844)))), trans(_238850)))), _241766, _241768)), leq(n0, _241768), leq(_241768, _238840), leq(n0, _241766), leq(_241766, _238840)]]], (873 ^ _212974) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _212974) ^ [_235854, _235856, _235858] : [609 ^ _212974 : [(610 ^ _212974) ^ [] : [-(leq(n0, 607 ^ [_235854, _235856, _235858]))], (614 ^ _212974) ^ [] : [-(leq(n0, 608 ^ [_235854, _235856, _235858]))], (618 ^ _212974) ^ [] : [a_select3(_235856, 607 ^ [_235854, _235856, _235858], 608 ^ [_235854, _235856, _235858]) = a_select3(_235856, 608 ^ [_235854, _235856, _235858], 607 ^ [_235854, _235856, _235858])], (616 ^ _212974) ^ [] : [-(leq(608 ^ [_235854, _235856, _235858], _235854))], (612 ^ _212974) ^ [] : [-(leq(607 ^ [_235854, _235856, _235858], _235854))]], 619 ^ _212974 : [(620 ^ _212974) ^ [_236667, _236669] : [-(a_select3(tptp_mmul(_235858, tptp_mmul(_235856, trans(_235858))), _236669, _236667) = a_select3(tptp_mmul(_235858, tptp_mmul(_235856, trans(_235858))), _236667, _236669)), leq(n0, _236669), leq(_236669, _235854), leq(n0, _236667), leq(_236667, _235854)]]], (756 ^ _212974) ^ [_243606] : [-(minus(_243606, n1) = pred(_243606))], (254 ^ _212974) ^ [_221995, _221997, _221999, _222001] : [-(a_select2(_222001, _221997) = a_select2(_221999, _221995)), _222001 = _221999, _221997 = _221995], (891 ^ _212974) ^ [] : [-(gt(n3, n0))], (264 ^ _212974) ^ [_222426, _222428] : [-(gt(_222428, _222426)), -(gt(_222426, _222428)), -(_222428 = _222426)], (869 ^ _212974) ^ [] : [-(gt(n5, n4))], (156 ^ _212974) ^ [_218378, _218380] : [_218380 = _218378, -(trans(_218380) = trans(_218378))], (382 ^ _212974) ^ [_226422, _226424, _226426, _226428] : [-(a_select2(tptp_const_array1(dim(_226426, _226424), _226422), _226428) = _226422), leq(_226426, _226428), leq(_226428, _226424)], (865 ^ _212974) ^ [] : [-(true)], (364 ^ _212974) ^ [_225746, _225748] : [gt(succ(_225746), _225748), -(leq(_225748, _225746))], (883 ^ _212974) ^ [] : [-(gt(n4, n0))], (911 ^ _212974) ^ [_249464] : [leq(n0, _249464), leq(_249464, n4), -(_249464 = n0), -(_249464 = n1), -(_249464 = n2), -(_249464 = n3), -(_249464 = n4)], (352 ^ _212974) ^ [_225337, _225339] : [leq(_225339, _225337), -(leq(_225339, succ(_225337)))], (274 ^ _212974) ^ [_222741, _222743, _222745] : [-(gt(_222745, _222741)), gt(_222745, _222743), gt(_222743, _222741)], (20 ^ _212974) ^ [_213750, _213752, _213754, _213756] : [-(lt(_213754, _213750)), lt(_213756, _213752), _213756 = _213754, _213752 = _213750], (937 ^ _212974) ^ [_250085] : [leq(n0, _250085), leq(_250085, n5), -(_250085 = n0), -(_250085 = n1), -(_250085 = n2), -(_250085 = n3), -(_250085 = n4), -(_250085 = n5)], (1009 ^ _212974) ^ [_251879] : [leq(n0, _251879), leq(_251879, n3), -(_251879 = n0), -(_251879 = n1), -(_251879 = n2), -(_251879 = n3)], (162 ^ _212974) ^ [_218652, _218654, _218656, _218658, _218660, _218662] : [-(sum(_218662, _218658, _218654) = sum(_218660, _218656, _218652)), _218662 = _218660, _218658 = _218656, _218654 = _218652], (788 ^ _212974) ^ [_244936, _244938, _244940, _244942, _244944, _244946, _244948] : [-(a_select3(tptp_update3(_244940, _244948, _244946, _244936), _244944, _244942) = _244938), -(_244948 = _244944), _244946 = _244942, a_select3(_244940, _244944, _244942) = _244938], (298 ^ _212974) ^ [_223557, _223559] : [lt(_223559, _223557), -(gt(_223557, _223559))], (885 ^ _212974) ^ [] : [-(gt(n5, n0))], (34 ^ _212974) ^ [_214194, _214196, _214198, _214200] : [-(geq(_214198, _214194)), geq(_214200, _214196), _214200 = _214198, _214196 = _214194], (328 ^ _212974) ^ [_224544, _224546] : [-(gt(_224544, _224546)), leq(_224546, _224544), -(_224546 = _224544)], (740 ^ _212974) ^ [_242902] : [-(plus(_242902, n2) = succ(succ(_242902)))], (786 ^ _212974) ^ [_244744, _244746, _244748, _244750] : [-(a_select3(tptp_update3(_244750, _244748, _244746, _244744), _244748, _244746) = _244744)], (846 ^ _212974) ^ [_247361, _247363, _247365, _247367] : [-(a_select2(tptp_update2(_247363, _247365, _247361), _247367) = _247361), 850 ^ _212974 : [(855 ^ _212974) ^ [] : [a_select2(_247363, 849 ^ [_247361, _247363, _247365, _247367]) = _247361], (853 ^ _212974) ^ [] : [-(leq(849 ^ [_247361, _247363, _247365, _247367], _247365))], (851 ^ _212974) ^ [] : [-(leq(n0, 849 ^ [_247361, _247363, _247365, _247367]))]], leq(n0, _247367), leq(_247367, _247365)], (48 ^ _212974) ^ [_214638, _214640, _214642, _214644] : [-(gt(_214642, _214638)), gt(_214644, _214640), _214644 = _214642, _214640 = _214638], (284 ^ _212974) ^ [_223020] : [gt(_223020, _223020)], (752 ^ _212974) ^ [_243424] : [-(plus(_243424, n5) = succ(succ(succ(succ(succ(_243424))))))], (887 ^ _212974) ^ [] : [-(gt(n1, n0))], (758 ^ _212974) ^ [_243689] : [-(pred(succ(_243689)) = _243689)], (760 ^ _212974) ^ [_243771] : [-(succ(pred(_243771)) = _243771)], (1033 ^ _212974) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _212974) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _212974) ^ [_226178, _226180] : [leq(n0, _226180), -(leq(n0, uniform_int_rnd(_226178, _226180)))], (746 ^ _212974) ^ [_243159] : [-(plus(n3, _243159) = succ(succ(succ(_243159))))], (310 ^ _212974) ^ [_223960, _223962] : [geq(_223962, _223960), -(leq(_223960, _223962))], (338 ^ _212974) ^ [_224875, _224877] : [leq(_224877, pred(_224875)), -(gt(_224875, _224877))], (901 ^ _212974) ^ [] : [-(gt(n4, n2))], (62 ^ _212974) ^ [_215062, _215064, _215066, _215068] : [-(leq(_215066, _215062)), leq(_215068, _215064), _215068 = _215066, _215064 = _215062], (410 ^ _212974) ^ [_227424, _227426] : [413 ^ _212974 : [(414 ^ _212974) ^ [] : [-(leq(n0, 411 ^ [_227424, _227426]))], (418 ^ _212974) ^ [] : [-(leq(n0, 412 ^ [_227424, _227426]))], (422 ^ _212974) ^ [] : [a_select3(_227426, 411 ^ [_227424, _227426], 412 ^ [_227424, _227426]) = a_select3(_227426, 412 ^ [_227424, _227426], 411 ^ [_227424, _227426])], (420 ^ _212974) ^ [] : [-(leq(412 ^ [_227424, _227426], _227424))], (416 ^ _212974) ^ [] : [-(leq(411 ^ [_227424, _227426], _227424))]], 423 ^ _212974 : [(424 ^ _212974) ^ [_228181, _228183] : [-(a_select3(trans(_227426), _228183, _228181) = a_select3(trans(_227426), _228181, _228183)), leq(n0, _228183), leq(_228183, _227424), leq(n0, _228181), leq(_228181, _227424)]]], (202 ^ _212974) ^ [_220104, _220106, _220108, _220110, _220112, _220114] : [-(a_select3(_220114, _220110, _220106) = a_select3(_220112, _220108, _220104)), _220114 = _220112, _220110 = _220108, _220106 = _220104], (176 ^ _212974) ^ [_219140, _219142, _219144, _219146] : [-(plus(_219146, _219142) = plus(_219144, _219140)), _219146 = _219144, _219142 = _219140], (768 ^ _212974) ^ [_244081, _244083] : [leq(_244083, _244081), -(leq(succ(_244083), succ(_244081)))], (1031 ^ _212974) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _212974) ^ [_242519] : [-(sum(n0, tptp_minus_1, _242519) = n0)], (560 ^ _212974) ^ [_233759, _233761, _233763] : [565 ^ _212974 : [(566 ^ _212974) ^ [] : [-(leq(n0, 563 ^ [_233759, _233761, _233763]))], (570 ^ _212974) ^ [] : [-(leq(n0, 564 ^ [_233759, _233761, _233763]))], (574 ^ _212974) ^ [] : [a_select3(_233763, 563 ^ [_233759, _233761, _233763], 564 ^ [_233759, _233761, _233763]) = a_select3(_233763, 564 ^ [_233759, _233761, _233763], 563 ^ [_233759, _233761, _233763])], (572 ^ _212974) ^ [] : [-(leq(564 ^ [_233759, _233761, _233763], _233759))], (568 ^ _212974) ^ [] : [-(leq(563 ^ [_233759, _233761, _233763], _233759))]], 577 ^ _212974 : [(578 ^ _212974) ^ [] : [-(leq(n0, 575 ^ [_233759, _233761, _233763]))], (582 ^ _212974) ^ [] : [-(leq(n0, 576 ^ [_233759, _233761, _233763]))], (586 ^ _212974) ^ [] : [a_select3(_233761, 575 ^ [_233759, _233761, _233763], 576 ^ [_233759, _233761, _233763]) = a_select3(_233761, 576 ^ [_233759, _233761, _233763], 575 ^ [_233759, _233761, _233763])], (584 ^ _212974) ^ [] : [-(leq(576 ^ [_233759, _233761, _233763], _233759))], (580 ^ _212974) ^ [] : [-(leq(575 ^ [_233759, _233761, _233763], _233759))]], 587 ^ _212974 : [(588 ^ _212974) ^ [_235268, _235270] : [-(a_select3(tptp_msub(_233763, _233761), _235270, _235268) = a_select3(tptp_msub(_233763, _233761), _235268, _235270)), leq(n0, _235270), leq(_235270, _233759), leq(n0, _235268), leq(_235268, _233759)]]], (967 ^ _212974) ^ [_250792] : [-(_250792 = n0), leq(n0, _250792), leq(_250792, n0)], (110 ^ _212974) ^ [_216752, _216754, _216756, _216758] : [-(dim(_216758, _216754) = dim(_216756, _216752)), _216758 = _216756, _216754 = _216752], (442 ^ _212974) ^ [_228728, _228730] : [445 ^ _212974 : [(446 ^ _212974) ^ [] : [-(leq(n0, 443 ^ [_228728, _228730]))], (450 ^ _212974) ^ [] : [-(leq(n0, 444 ^ [_228728, _228730]))], (454 ^ _212974) ^ [] : [a_select3(_228730, 443 ^ [_228728, _228730], 444 ^ [_228728, _228730]) = a_select3(_228730, 444 ^ [_228728, _228730], 443 ^ [_228728, _228730])], (452 ^ _212974) ^ [] : [-(leq(444 ^ [_228728, _228730], _228728))], (448 ^ _212974) ^ [] : [-(leq(443 ^ [_228728, _228730], _228728))]], 455 ^ _212974 : [(456 ^ _212974) ^ [_229485, _229487] : [-(a_select3(inv(_228730), _229487, _229485) = a_select3(inv(_228730), _229485, _229487)), leq(n0, _229487), leq(_229487, _228728), leq(n0, _229485), leq(_229485, _228728)]]], (1037 ^ _212974) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _212974) ^ [_217083, _217085] : [_217085 = _217083, -(inv(_217085) = inv(_217083))], (907 ^ _212974) ^ [] : [-(gt(n4, n3))], (358 ^ _212974) ^ [_225580, _225582] : [leq(_225582, _225580), -(gt(succ(_225580), _225582))], (836 ^ _212974) ^ [_246981, _246983, _246985, _246987, _246989] : [-(a_select2(tptp_update2(_246985, _246989, _246981), _246987) = _246983), -(_246989 = _246987), a_select2(_246985, _246987) = _246983], (879 ^ _212974) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _212974) ^ [_242819] : [-(plus(n1, _242819) = succ(_242819))], (867 ^ _212974) ^ [] : [def = use], (4 ^ _212974) ^ [_213205, _213207] : [_213207 = _213205, -(_213205 = _213207)], (895 ^ _212974) ^ [] : [-(gt(n5, n1))], (909 ^ _212974) ^ [] : [-(gt(n5, n3))], (750 ^ _212974) ^ [_243335] : [-(plus(n4, _243335) = succ(succ(succ(succ(_243335)))))], (322 ^ _212974) ^ [_224334, _224336] : [gt(_224334, _224336), -(leq(_224336, _224334))], (875 ^ _212974) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _212974) ^ [_245479, _245481, _245483, _245485, _245487, _245489] : [-(a_select3(tptp_update3(_245481, _245485, _245483, _245479), _245489, _245487) = _245479), 807 ^ _212974 : [(808 ^ _212974) ^ [] : [-(leq(n0, 805 ^ [_245479, _245481, _245483, _245485, _245487, _245489]))], (812 ^ _212974) ^ [] : [-(leq(805 ^ [_245479, _245481, _245483, _245485, _245487, _245489], _245485))], (816 ^ _212974) ^ [] : [a_select3(_245481, 805 ^ [_245479, _245481, _245483, _245485, _245487, _245489], 806 ^ [_245479, _245481, _245483, _245485, _245487, _245489]) = _245479], (814 ^ _212974) ^ [] : [-(leq(806 ^ [_245479, _245481, _245483, _245485, _245487, _245489], _245483))], (810 ^ _212974) ^ [] : [-(leq(n0, 806 ^ [_245479, _245481, _245483, _245485, _245487, _245489]))]], leq(n0, _245489), leq(_245489, _245485), leq(n0, _245487), leq(_245487, _245483)], (234 ^ _212974) ^ [_221309, _221311, _221313, _221315, _221317, _221319] : [-(tptp_update2(_221319, _221315, _221311) = tptp_update2(_221317, _221313, _221309)), _221319 = _221317, _221315 = _221313, _221311 = _221309], (774 ^ _212974) ^ [_244301, _244303] : [leq(succ(_244303), _244301), -(gt(_244301, _244303))], (897 ^ _212974) ^ [] : [-(gt(n2, n1))], (881 ^ _212974) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _212974) ^ [_220648, _220650, _220652, _220654, _220656, _220658, _220660, _220662] : [-(tptp_update3(_220662, _220658, _220654, _220650) = tptp_update3(_220660, _220656, _220652, _220648)), _220662 = _220660, _220658 = _220656, _220654 = _220652, _220650 = _220648], (304 ^ _212974) ^ [_223719, _223721] : [gt(_223719, _223721), -(lt(_223721, _223719))], (762 ^ _212974) ^ [_243911, _243913] : [leq(succ(_243913), succ(_243911)), -(leq(_243913, _243911))], (514 ^ _212974) ^ [_231664, _231666, _231668] : [519 ^ _212974 : [(520 ^ _212974) ^ [] : [-(leq(n0, 517 ^ [_231664, _231666, _231668]))], (524 ^ _212974) ^ [] : [-(leq(n0, 518 ^ [_231664, _231666, _231668]))], (528 ^ _212974) ^ [] : [a_select3(_231668, 517 ^ [_231664, _231666, _231668], 518 ^ [_231664, _231666, _231668]) = a_select3(_231668, 518 ^ [_231664, _231666, _231668], 517 ^ [_231664, _231666, _231668])], (526 ^ _212974) ^ [] : [-(leq(518 ^ [_231664, _231666, _231668], _231664))], (522 ^ _212974) ^ [] : [-(leq(517 ^ [_231664, _231666, _231668], _231664))]], 531 ^ _212974 : [(532 ^ _212974) ^ [] : [-(leq(n0, 529 ^ [_231664, _231666, _231668]))], (536 ^ _212974) ^ [] : [-(leq(n0, 530 ^ [_231664, _231666, _231668]))], (540 ^ _212974) ^ [] : [a_select3(_231666, 529 ^ [_231664, _231666, _231668], 530 ^ [_231664, _231666, _231668]) = a_select3(_231666, 530 ^ [_231664, _231666, _231668], 529 ^ [_231664, _231666, _231668])], (538 ^ _212974) ^ [] : [-(leq(530 ^ [_231664, _231666, _231668], _231664))], (534 ^ _212974) ^ [] : [-(leq(529 ^ [_231664, _231666, _231668], _231664))]], 541 ^ _212974 : [(542 ^ _212974) ^ [_233173, _233175] : [-(a_select3(tptp_madd(_231668, _231666), _233175, _233173) = a_select3(tptp_madd(_231668, _231666), _233173, _233175)), leq(n0, _233175), leq(_233175, _231664), leq(n0, _233173), leq(_233173, _231664)]]], (136 ^ _212974) ^ [_217688, _217690, _217692, _217694] : [-(tptp_madd(_217694, _217690) = tptp_madd(_217692, _217688)), _217694 = _217692, _217690 = _217688], (899 ^ _212974) ^ [] : [-(gt(n3, n1))], (780 ^ _212974) ^ [_244515, _244517] : [leq(minus(_244517, _244515), _244517), -(leq(n0, _244515))], (748 ^ _212974) ^ [_243246] : [-(plus(_243246, n4) = succ(succ(succ(succ(_243246)))))], (126 ^ _212974) ^ [_217329, _217331, _217333, _217335] : [-(tptp_msub(_217335, _217331) = tptp_msub(_217333, _217329)), _217335 = _217333, _217331 = _217329], (903 ^ _212974) ^ [] : [-(gt(n5, n2))], (834 ^ _212974) ^ [_246821, _246823, _246825] : [-(a_select2(tptp_update2(_246825, _246823, _246821), _246823) = _246821)], (744 ^ _212974) ^ [_243072] : [-(plus(_243072, n3) = succ(succ(succ(_243072))))], (736 ^ _212974) ^ [_242736] : [-(plus(_242736, n1) = succ(_242736))], (754 ^ _212974) ^ [_243515] : [-(plus(n5, _243515) = succ(succ(succ(succ(succ(_243515))))))]], input).
% 43.67/42.71  ncf('1',plain,[-(leq(n2, pv1325))],start(1049 ^ 0)).
% 43.67/42.71  ncf('1.1',plain,[leq(n2, pv1325), -(leq(n0, pv1325)), leq(n0, n2)],extension(288 ^ 1,bind([[_223219, _223221, _223223], [pv1325, n2, n0]]))).
% 43.67/42.71  ncf('1.1.1',plain,[leq(n0, pv1325)],extension(1063 ^ 2)).
% 43.67/42.71  ncf('1.1.2',plain,[-(leq(n0, n2)), gt(n2, n0)],extension(322 ^ 2,bind([[_224334, _224336], [n2, n0]]))).
% 43.67/42.71  ncf('1.1.2.1',plain,[-(gt(n2, n0))],extension(889 ^ 3)).
% 43.67/42.71  %-----------------------------------------------------
% 43.67/42.71  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------