%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 12:20:07 EDT 2023

% Result   : Theorem 73.16s 70.90s
% Output   : Proof 73.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV182+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 02:08:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 73.16/70.90  
% 73.16/70.90  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 73.16/70.90  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.16/70.90  %-----------------------------------------------------
% 73.16/70.90  ncf(matrix, plain, [(1055 ^ _263744) ^ [] : [-(leq(tptp_float_0_001, pv76))], (1115 ^ _263744) ^ [] : [gt(loopcounter, n0), 1118 ^ _263744 : [(1119 ^ _263744) ^ [_265500] : [-(a_select2(sigma_init, _265500) = init), leq(n0, _265500), leq(_265500, n4)]]], (1132 ^ _263744) ^ [] : [-(leq(1128 ^ [], n4))], (1130 ^ _263744) ^ [] : [-(leq(n0, 1128 ^ []))], (1059 ^ _263744) ^ [_263949] : [leq(n0, _263949), leq(_263949, n135299), 1066 ^ _263744 : [(1067 ^ _263744) ^ [_264177] : [-(a_select3(q_init, _263949, _264177) = init), leq(n0, _264177), leq(_264177, n4)]]], (1101 ^ _263744) ^ [] : [gt(loopcounter, n0), 1104 ^ _263744 : [(1105 ^ _263744) ^ [_265172] : [-(a_select2(rho_init, _265172) = init), leq(n0, _265172), leq(_265172, n4)]]], (1134 ^ _263744) ^ [] : [a_select2(rho_init, 1128 ^ []) = init], (1087 ^ _263744) ^ [] : [gt(loopcounter, n0), 1090 ^ _263744 : [(1091 ^ _263744) ^ [_264824] : [-(a_select2(mu_init, _264824) = init), leq(n0, _264824), leq(_264824, n4)]]], (1057 ^ _263744) ^ [] : [-(leq(n1, loopcounter))], (1077 ^ _263744) ^ [_264479] : [-(a_select3(center_init, _264479, n0) = init), leq(n0, _264479), leq(_264479, n4)], !, (873 ^ _223547) ^ [] : [-(gt(n135299, n5))], (606 ^ _223547) ^ [_246427, _246429, _246431] : [609 ^ _223547 : [(610 ^ _223547) ^ [] : [-(leq(n0, 607 ^ [_246427, _246429, _246431]))], (614 ^ _223547) ^ [] : [-(leq(n0, 608 ^ [_246427, _246429, _246431]))], (618 ^ _223547) ^ [] : [a_select3(_246429, 607 ^ [_246427, _246429, _246431], 608 ^ [_246427, _246429, _246431]) = a_select3(_246429, 608 ^ [_246427, _246429, _246431], 607 ^ [_246427, _246429, _246431])], (616 ^ _223547) ^ [] : [-(leq(608 ^ [_246427, _246429, _246431], _246427))], (612 ^ _223547) ^ [] : [-(leq(607 ^ [_246427, _246429, _246431], _246427))]], 619 ^ _223547 : [(620 ^ _223547) ^ [_247240, _247242] : [-(a_select3(tptp_mmul(_246431, tptp_mmul(_246429, trans(_246431))), _247242, _247240) = a_select3(tptp_mmul(_246431, tptp_mmul(_246429, trans(_246431))), _247240, _247242)), leq(n0, _247242), leq(_247242, _246427), leq(n0, _247240), leq(_247240, _246427)]]], (875 ^ _223547) ^ [] : [-(gt(n4, tptp_minus_1))], (1051 ^ _223547) ^ [] : [-(succ(succ(n0)) = n2)], (742 ^ _223547) ^ [_253560] : [-(plus(n2, _253560) = succ(succ(_253560)))], (254 ^ _223547) ^ [_232568, _232570, _232572, _232574] : [-(a_select2(_232574, _232570) = a_select2(_232572, _232568)), _232574 = _232572, _232570 = _232568], (382 ^ _223547) ^ [_236995, _236997, _236999, _237001] : [-(a_select2(tptp_const_array1(dim(_236999, _236997), _236995), _237001) = _236995), leq(_236999, _237001), leq(_237001, _236997)], (909 ^ _223547) ^ [] : [-(gt(n3, n1))], (903 ^ _223547) ^ [] : [-(gt(n5, n1))], (364 ^ _223547) ^ [_236319, _236321] : [gt(succ(_236319), _236321), -(leq(_236321, _236319))], (146 ^ _223547) ^ [_228620, _228622, _228624, _228626] : [-(tptp_mmul(_228626, _228622) = tptp_mmul(_228624, _228620)), _228626 = _228624, _228622 = _228620], (740 ^ _223547) ^ [_253475] : [-(plus(_253475, n2) = succ(succ(_253475)))], (1045 ^ _223547) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (846 ^ _223547) ^ [_257934, _257936, _257938, _257940] : [-(a_select2(tptp_update2(_257936, _257938, _257934), _257940) = _257934), 850 ^ _223547 : [(855 ^ _223547) ^ [] : [a_select2(_257936, 849 ^ [_257934, _257936, _257938, _257940]) = _257934], (853 ^ _223547) ^ [] : [-(leq(849 ^ [_257934, _257936, _257938, _257940], _257938))], (851 ^ _223547) ^ [] : [-(leq(n0, 849 ^ [_257934, _257936, _257938, _257940]))]], leq(n0, _257940), leq(_257940, _257938)], (736 ^ _223547) ^ [_253309] : [-(plus(_253309, n1) = succ(_253309))], (286 ^ _223547) ^ [_233671] : [-(leq(_233671, _233671))], (96 ^ _223547) ^ [_226837, _226839, _226841, _226843, _226845, _226847] : [-(tptp_const_array2(_226847, _226843, _226839) = tptp_const_array2(_226845, _226841, _226837)), _226847 = _226845, _226843 = _226841, _226839 = _226837], (913 ^ _223547) ^ [] : [-(gt(n5, n2))], (638 ^ _223547) ^ [_247859, _247861, _247863, _247865] : [641 ^ _223547 : [(642 ^ _223547) ^ [] : [-(leq(n0, 639 ^ [_247859, _247861, _247863, _247865]))], (646 ^ _223547) ^ [] : [-(leq(n0, 640 ^ [_247859, _247861, _247863, _247865]))], (650 ^ _223547) ^ [] : [a_select3(_247863, 639 ^ [_247859, _247861, _247863, _247865], 640 ^ [_247859, _247861, _247863, _247865]) = a_select3(_247863, 640 ^ [_247859, _247861, _247863, _247865], 639 ^ [_247859, _247861, _247863, _247865])], (648 ^ _223547) ^ [] : [-(leq(640 ^ [_247859, _247861, _247863, _247865], _247859))], (644 ^ _223547) ^ [] : [-(leq(639 ^ [_247859, _247861, _247863, _247865], _247859))]], 651 ^ _223547 : [(652 ^ _223547) ^ [_248716, _248718] : [-(a_select3(tptp_mmul(_247865, tptp_mmul(_247863, trans(_247865))), _248718, _248716) = a_select3(tptp_mmul(_247865, tptp_mmul(_247863, trans(_247865))), _248716, _248718)), leq(n0, _248718), leq(_248718, _247861), leq(n0, _248716), leq(_248716, _247861)]]], (802 ^ _223547) ^ [_256052, _256054, _256056, _256058, _256060, _256062] : [-(a_select3(tptp_update3(_256054, _256058, _256056, _256052), _256062, _256060) = _256052), 807 ^ _223547 : [(808 ^ _223547) ^ [] : [-(leq(n0, 805 ^ [_256052, _256054, _256056, _256058, _256060, _256062]))], (812 ^ _223547) ^ [] : [-(leq(805 ^ [_256052, _256054, _256056, _256058, _256060, _256062], _256058))], (816 ^ _223547) ^ [] : [a_select3(_256054, 805 ^ [_256052, _256054, _256056, _256058, _256060, _256062], 806 ^ [_256052, _256054, _256056, _256058, _256060, _256062]) = _256052], (814 ^ _223547) ^ [] : [-(leq(806 ^ [_256052, _256054, _256056, _256058, _256060, _256062], _256056))], (810 ^ _223547) ^ [] : [-(leq(n0, 806 ^ [_256052, _256054, _256056, _256058, _256060, _256062]))]], leq(n0, _256062), leq(_256062, _256058), leq(n0, _256060), leq(_256060, _256056)], (732 ^ _223547) ^ [_253174] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _253174))], (1047 ^ _223547) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (883 ^ _223547) ^ [] : [-(gt(n1, tptp_minus_1))], (370 ^ _223547) ^ [_236535, _236537] : [leq(n0, _236537), -(leq(uniform_int_rnd(_236535, _236537), _236537))], (670 ^ _223547) ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425] : [675 ^ _223547 : [(676 ^ _223547) ^ [] : [-(leq(n0, 673 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (680 ^ _223547) ^ [] : [-(leq(n0, 674 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (684 ^ _223547) ^ [] : [a_select3(_249419, 673 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 674 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]) = a_select3(_249419, 674 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 673 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425])], (682 ^ _223547) ^ [] : [-(leq(674 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249411))], (678 ^ _223547) ^ [] : [-(leq(673 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249411))]], 689 ^ _223547 : [(690 ^ _223547) ^ [] : [-(leq(n0, 687 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (694 ^ _223547) ^ [] : [-(leq(n0, 688 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (698 ^ _223547) ^ [] : [a_select3(_249425, 687 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 688 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]) = a_select3(_249425, 688 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 687 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425])], (696 ^ _223547) ^ [] : [-(leq(688 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249413))], (692 ^ _223547) ^ [] : [-(leq(687 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249413))]], 701 ^ _223547 : [(702 ^ _223547) ^ [] : [-(leq(n0, 699 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (706 ^ _223547) ^ [] : [-(leq(n0, 700 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]))], (710 ^ _223547) ^ [] : [a_select3(_249415, 699 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 700 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425]) = a_select3(_249415, 700 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], 699 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425])], (708 ^ _223547) ^ [] : [-(leq(700 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249413))], (704 ^ _223547) ^ [] : [-(leq(699 ^ [_249411, _249413, _249415, _249417, _249419, _249421, _249423, _249425], _249413))]], 711 ^ _223547 : [(712 ^ _223547) ^ [_252339, _252341] : [-(a_select3(tptp_madd(_249425, tptp_mmul(_249423, tptp_mmul(tptp_madd(tptp_mmul(_249421, tptp_mmul(_249419, trans(_249421))), tptp_mmul(_249417, tptp_mmul(_249415, trans(_249417)))), trans(_249423)))), _252341, _252339) = a_select3(tptp_madd(_249425, tptp_mmul(_249423, tptp_mmul(tptp_madd(tptp_mmul(_249421, tptp_mmul(_249419, trans(_249421))), tptp_mmul(_249417, tptp_mmul(_249415, trans(_249417)))), trans(_249423)))), _252339, _252341)), leq(n0, _252341), leq(_252341, _249413), leq(n0, _252339), leq(_252339, _249413)]]], (885 ^ _223547) ^ [] : [-(gt(n2, tptp_minus_1))], (202 ^ _223547) ^ [_230705, _230707, _230709, _230711, _230713, _230715, _230717, _230719] : [-(tptp_update3(_230719, _230715, _230711, _230707) = tptp_update3(_230717, _230713, _230709, _230705)), _230719 = _230717, _230715 = _230713, _230711 = _230709, _230707 = _230705], (350 ^ _223547) ^ [_235801] : [-(gt(succ(_235801), _235801))], (780 ^ _223547) ^ [_255088, _255090] : [leq(minus(_255090, _255088), _255090), -(leq(n0, _255088))], (760 ^ _223547) ^ [_254344] : [-(succ(pred(_254344)) = _254344)], (786 ^ _223547) ^ [_255317, _255319, _255321, _255323] : [-(a_select3(tptp_update3(_255323, _255321, _255319, _255317), _255321, _255319) = _255317)], (891 ^ _223547) ^ [] : [-(gt(n5, n0))], (877 ^ _223547) ^ [] : [-(gt(n5, tptp_minus_1))], (322 ^ _223547) ^ [_234907, _234909] : [gt(_234907, _234909), -(leq(_234909, _234907))], (560 ^ _223547) ^ [_244332, _244334, _244336] : [565 ^ _223547 : [(566 ^ _223547) ^ [] : [-(leq(n0, 563 ^ [_244332, _244334, _244336]))], (570 ^ _223547) ^ [] : [-(leq(n0, 564 ^ [_244332, _244334, _244336]))], (574 ^ _223547) ^ [] : [a_select3(_244336, 563 ^ [_244332, _244334, _244336], 564 ^ [_244332, _244334, _244336]) = a_select3(_244336, 564 ^ [_244332, _244334, _244336], 563 ^ [_244332, _244334, _244336])], (572 ^ _223547) ^ [] : [-(leq(564 ^ [_244332, _244334, _244336], _244332))], (568 ^ _223547) ^ [] : [-(leq(563 ^ [_244332, _244334, _244336], _244332))]], 577 ^ _223547 : [(578 ^ _223547) ^ [] : [-(leq(n0, 575 ^ [_244332, _244334, _244336]))], (582 ^ _223547) ^ [] : [-(leq(n0, 576 ^ [_244332, _244334, _244336]))], (586 ^ _223547) ^ [] : [a_select3(_244334, 575 ^ [_244332, _244334, _244336], 576 ^ [_244332, _244334, _244336]) = a_select3(_244334, 576 ^ [_244332, _244334, _244336], 575 ^ [_244332, _244334, _244336])], (584 ^ _223547) ^ [] : [-(leq(576 ^ [_244332, _244334, _244336], _244332))], (580 ^ _223547) ^ [] : [-(leq(575 ^ [_244332, _244334, _244336], _244332))]], 587 ^ _223547 : [(588 ^ _223547) ^ [_245841, _245843] : [-(a_select3(tptp_msub(_244336, _244334), _245843, _245841) = a_select3(tptp_msub(_244336, _244334), _245841, _245843)), leq(n0, _245843), leq(_245843, _244332), leq(n0, _245841), leq(_245841, _244332)]]], (734 ^ _223547) ^ [] : [-(succ(tptp_minus_1) = n0)], (754 ^ _223547) ^ [_254088] : [-(plus(n5, _254088) = succ(succ(succ(succ(succ(_254088))))))], (220 ^ _223547) ^ [_231366, _231368, _231370, _231372, _231374, _231376] : [-(tptp_update2(_231376, _231372, _231368) = tptp_update2(_231374, _231370, _231366)), _231376 = _231374, _231372 = _231370, _231368 = _231366], (442 ^ _223547) ^ [_239301, _239303] : [445 ^ _223547 : [(446 ^ _223547) ^ [] : [-(leq(n0, 443 ^ [_239301, _239303]))], (450 ^ _223547) ^ [] : [-(leq(n0, 444 ^ [_239301, _239303]))], (454 ^ _223547) ^ [] : [a_select3(_239303, 443 ^ [_239301, _239303], 444 ^ [_239301, _239303]) = a_select3(_239303, 444 ^ [_239301, _239303], 443 ^ [_239301, _239303])], (452 ^ _223547) ^ [] : [-(leq(444 ^ [_239301, _239303], _239301))], (448 ^ _223547) ^ [] : [-(leq(443 ^ [_239301, _239303], _239301))]], 455 ^ _223547 : [(456 ^ _223547) ^ [_240058, _240060] : [-(a_select3(inv(_239303), _240060, _240058) = a_select3(inv(_239303), _240058, _240060)), leq(n0, _240060), leq(_240060, _239301), leq(n0, _240058), leq(_240058, _239301)]]], (919 ^ _223547) ^ [] : [-(gt(n4, n3))], (392 ^ _223547) ^ [_237402, _237404, _237406, _237408, _237410, _237412, _237414] : [-(a_select3(tptp_const_array2(dim(_237412, _237410), dim(_237406, _237404), _237402), _237414, _237408) = _237402), leq(_237412, _237414), leq(_237414, _237410), leq(_237406, _237408), leq(_237408, _237404)], (1023 ^ _223547) ^ [_262823] : [leq(n0, _262823), leq(_262823, n3), -(_262823 = n0), -(_262823 = n1), -(_262823 = n2), -(_262823 = n3)], (981 ^ _223547) ^ [_261736] : [-(_261736 = n0), leq(n0, _261736), leq(_261736, n0)], (951 ^ _223547) ^ [_261029] : [leq(n0, _261029), leq(_261029, n5), -(_261029 = n0), -(_261029 = n1), -(_261029 = n2), -(_261029 = n3), -(_261029 = n4), -(_261029 = n5)], (907 ^ _223547) ^ [] : [-(gt(n2, n1))], (893 ^ _223547) ^ [] : [-(gt(n135299, n0))], (86 ^ _223547) ^ [_226450, _226452, _226454, _226456] : [-(tptp_const_array1(_226456, _226452) = tptp_const_array1(_226454, _226450)), _226456 = _226454, _226452 = _226450], (836 ^ _223547) ^ [_257554, _257556, _257558, _257560, _257562] : [-(a_select2(tptp_update2(_257558, _257562, _257554), _257560) = _257556), -(_257562 = _257560), a_select2(_257558, _257560) = _257556], (410 ^ _223547) ^ [_237997, _237999] : [413 ^ _223547 : [(414 ^ _223547) ^ [] : [-(leq(n0, 411 ^ [_237997, _237999]))], (418 ^ _223547) ^ [] : [-(leq(n0, 412 ^ [_237997, _237999]))], (422 ^ _223547) ^ [] : [a_select3(_237999, 411 ^ [_237997, _237999], 412 ^ [_237997, _237999]) = a_select3(_237999, 412 ^ [_237997, _237999], 411 ^ [_237997, _237999])], (420 ^ _223547) ^ [] : [-(leq(412 ^ [_237997, _237999], _237997))], (416 ^ _223547) ^ [] : [-(leq(411 ^ [_237997, _237999], _237997))]], 423 ^ _223547 : [(424 ^ _223547) ^ [_238754, _238756] : [-(a_select3(trans(_237999), _238756, _238754) = a_select3(trans(_237999), _238754, _238756)), leq(n0, _238756), leq(_238756, _237997), leq(n0, _238754), leq(_238754, _237997)]]], (234 ^ _223547) ^ [_231826, _231828] : [_231828 = _231826, -(succ(_231828) = succ(_231826))], (758 ^ _223547) ^ [_254262] : [-(pred(succ(_254262)) = _254262)], (869 ^ _223547) ^ [] : [-(gt(n5, n4))], (911 ^ _223547) ^ [] : [-(gt(n4, n2))], (344 ^ _223547) ^ [_235614, _235616] : [gt(_235614, _235616), -(leq(_235616, pred(_235614)))], (284 ^ _223547) ^ [_233593] : [gt(_233593, _233593)], (328 ^ _223547) ^ [_235117, _235119] : [-(gt(_235117, _235119)), leq(_235119, _235117), -(_235119 = _235117)], (744 ^ _223547) ^ [_253645] : [-(plus(_253645, n3) = succ(succ(succ(_253645))))], (899 ^ _223547) ^ [] : [-(gt(n3, n0))], (4 ^ _223547) ^ [_223778, _223780] : [_223780 = _223778, -(_223778 = _223780)], (923 ^ _223547) ^ [] : [-(gt(n135299, n3))], (762 ^ _223547) ^ [_254484, _254486] : [leq(succ(_254486), succ(_254484)), -(leq(_254486, _254484))], (730 ^ _223547) ^ [_253092] : [-(sum(n0, tptp_minus_1, _253092) = n0)], (901 ^ _223547) ^ [] : [-(gt(n4, n1))], (304 ^ _223547) ^ [_234292, _234294] : [gt(_234292, _234294), -(lt(_234294, _234292))], (310 ^ _223547) ^ [_234533, _234535] : [geq(_234535, _234533), -(leq(_234533, _234535))], (774 ^ _223547) ^ [_254874, _254876] : [leq(succ(_254876), _254874), -(gt(_254874, _254876))], (192 ^ _223547) ^ [_230290, _230292, _230294, _230296] : [-(minus(_230296, _230292) = minus(_230294, _230290)), _230296 = _230294, _230292 = _230290], (338 ^ _223547) ^ [_235448, _235450] : [leq(_235450, pred(_235448)), -(gt(_235448, _235450))], (120 ^ _223547) ^ [_227656, _227658] : [_227658 = _227656, -(inv(_227658) = inv(_227656))], (879 ^ _223547) ^ [] : [-(gt(n135299, tptp_minus_1))], (20 ^ _223547) ^ [_224323, _224325, _224327, _224329] : [-(lt(_224327, _224323)), lt(_224329, _224325), _224329 = _224327, _224325 = _224323], (881 ^ _223547) ^ [] : [-(gt(n0, tptp_minus_1))], (186 ^ _223547) ^ [_230044, _230046] : [_230046 = _230044, -(pred(_230046) = pred(_230044))], (1005 ^ _223547) ^ [_262374] : [leq(n0, _262374), leq(_262374, n2), -(_262374 = n0), -(_262374 = n1), -(_262374 = n2)], (834 ^ _223547) ^ [_257394, _257396, _257398] : [-(a_select2(tptp_update2(_257398, _257396, _257394), _257396) = _257394)], (274 ^ _223547) ^ [_233314, _233316, _233318] : [-(gt(_233318, _233314)), gt(_233318, _233316), gt(_233316, _233314)], (897 ^ _223547) ^ [] : [-(gt(n2, n0))], (48 ^ _223547) ^ [_225211, _225213, _225215, _225217] : [-(gt(_225215, _225211)), gt(_225217, _225213), _225217 = _225215, _225213 = _225211], (925 ^ _223547) ^ [_260408] : [leq(n0, _260408), leq(_260408, n4), -(_260408 = n0), -(_260408 = n1), -(_260408 = n2), -(_260408 = n3), -(_260408 = n4)], (376 ^ _223547) ^ [_236751, _236753] : [leq(n0, _236753), -(leq(n0, uniform_int_rnd(_236751, _236753)))], (895 ^ _223547) ^ [] : [-(gt(n1, n0))], (76 ^ _223547) ^ [_226091, _226093, _226095, _226097] : [-(uniform_int_rnd(_226097, _226093) = uniform_int_rnd(_226095, _226091)), _226097 = _226095, _226093 = _226091], (156 ^ _223547) ^ [_228951, _228953] : [_228953 = _228951, -(trans(_228953) = trans(_228951))], (10 ^ _223547) ^ [_223982, _223984, _223986] : [-(_223986 = _223982), _223986 = _223984, _223984 = _223982], (1053 ^ _223547) ^ [] : [-(succ(succ(succ(n0))) = n3)], (264 ^ _223547) ^ [_232999, _233001] : [-(gt(_233001, _232999)), -(gt(_232999, _233001)), -(_233001 = _232999)], (871 ^ _223547) ^ [] : [-(gt(n135299, n4))], (1049 ^ _223547) ^ [] : [-(succ(n0) = n1)], (905 ^ _223547) ^ [] : [-(gt(n135299, n1))], (865 ^ _223547) ^ [] : [-(true)], (752 ^ _223547) ^ [_253997] : [-(plus(_253997, n5) = succ(succ(succ(succ(succ(_253997))))))], (240 ^ _223547) ^ [_232100, _232102, _232104, _232106, _232108, _232110] : [-(a_select3(_232110, _232106, _232102) = a_select3(_232108, _232104, _232100)), _232110 = _232108, _232106 = _232104, _232102 = _232100], (316 ^ _223547) ^ [_234695, _234697] : [leq(_234695, _234697), -(geq(_234697, _234695))], (62 ^ _223547) ^ [_225635, _225637, _225639, _225641] : [-(leq(_225639, _225635)), leq(_225641, _225637), _225641 = _225639, _225637 = _225635], (748 ^ _223547) ^ [_253819] : [-(plus(_253819, n4) = succ(succ(succ(succ(_253819)))))], (887 ^ _223547) ^ [] : [-(gt(n3, tptp_minus_1))], (176 ^ _223547) ^ [_229713, _229715, _229717, _229719] : [-(plus(_229719, _229715) = plus(_229717, _229713)), _229719 = _229717, _229715 = _229713], (2 ^ _223547) ^ [_223671] : [-(_223671 = _223671)], (991 ^ _223547) ^ [_262011] : [leq(n0, _262011), leq(_262011, n1), -(_262011 = n0), -(_262011 = n1)], (738 ^ _223547) ^ [_253392] : [-(plus(n1, _253392) = succ(_253392))], (921 ^ _223547) ^ [] : [-(gt(n5, n3))], (788 ^ _223547) ^ [_255509, _255511, _255513, _255515, _255517, _255519, _255521] : [-(a_select3(tptp_update3(_255513, _255521, _255519, _255509), _255517, _255515) = _255511), -(_255521 = _255517), _255519 = _255515, a_select3(_255513, _255517, _255515) = _255511], (750 ^ _223547) ^ [_253908] : [-(plus(n4, _253908) = succ(succ(succ(succ(_253908)))))], (889 ^ _223547) ^ [] : [-(gt(n4, n0))], (768 ^ _223547) ^ [_254654, _254656] : [leq(_254656, _254654), -(leq(succ(_254656), succ(_254654)))], (34 ^ _223547) ^ [_224767, _224769, _224771, _224773] : [-(geq(_224771, _224767)), geq(_224773, _224769), _224773 = _224771, _224769 = _224767], (352 ^ _223547) ^ [_235910, _235912] : [leq(_235912, _235910), -(leq(_235912, succ(_235910)))], (126 ^ _223547) ^ [_227902, _227904, _227906, _227908] : [-(tptp_msub(_227908, _227904) = tptp_msub(_227906, _227902)), _227908 = _227906, _227904 = _227902], (358 ^ _223547) ^ [_236153, _236155] : [leq(_236155, _236153), -(gt(succ(_236153), _236155))], (162 ^ _223547) ^ [_229225, _229227, _229229, _229231, _229233, _229235] : [-(sum(_229235, _229231, _229227) = sum(_229233, _229229, _229225)), _229235 = _229233, _229231 = _229229, _229227 = _229225], (298 ^ _223547) ^ [_234130, _234132] : [lt(_234132, _234130), -(gt(_234130, _234132))], (110 ^ _223547) ^ [_227325, _227327, _227329, _227331] : [-(dim(_227331, _227327) = dim(_227329, _227325)), _227331 = _227329, _227327 = _227325], (915 ^ _223547) ^ [] : [-(gt(n135299, n2))], (288 ^ _223547) ^ [_233792, _233794, _233796] : [-(leq(_233796, _233792)), leq(_233796, _233794), leq(_233794, _233792)], (867 ^ _223547) ^ [] : [def = use], (917 ^ _223547) ^ [] : [-(gt(n3, n2))], (514 ^ _223547) ^ [_242237, _242239, _242241] : [519 ^ _223547 : [(520 ^ _223547) ^ [] : [-(leq(n0, 517 ^ [_242237, _242239, _242241]))], (524 ^ _223547) ^ [] : [-(leq(n0, 518 ^ [_242237, _242239, _242241]))], (528 ^ _223547) ^ [] : [a_select3(_242241, 517 ^ [_242237, _242239, _242241], 518 ^ [_242237, _242239, _242241]) = a_select3(_242241, 518 ^ [_242237, _242239, _242241], 517 ^ [_242237, _242239, _242241])], (526 ^ _223547) ^ [] : [-(leq(518 ^ [_242237, _242239, _242241], _242237))], (522 ^ _223547) ^ [] : [-(leq(517 ^ [_242237, _242239, _242241], _242237))]], 531 ^ _223547 : [(532 ^ _223547) ^ [] : [-(leq(n0, 529 ^ [_242237, _242239, _242241]))], (536 ^ _223547) ^ [] : [-(leq(n0, 530 ^ [_242237, _242239, _242241]))], (540 ^ _223547) ^ [] : [a_select3(_242239, 529 ^ [_242237, _242239, _242241], 530 ^ [_242237, _242239, _242241]) = a_select3(_242239, 530 ^ [_242237, _242239, _242241], 529 ^ [_242237, _242239, _242241])], (538 ^ _223547) ^ [] : [-(leq(530 ^ [_242237, _242239, _242241], _242237))], (534 ^ _223547) ^ [] : [-(leq(529 ^ [_242237, _242239, _242241], _242237))]], 541 ^ _223547 : [(542 ^ _223547) ^ [_243746, _243748] : [-(a_select3(tptp_madd(_242241, _242239), _243748, _243746) = a_select3(tptp_madd(_242241, _242239), _243746, _243748)), leq(n0, _243748), leq(_243748, _242237), leq(n0, _243746), leq(_243746, _242237)]]], (136 ^ _223547) ^ [_228261, _228263, _228265, _228267] : [-(tptp_madd(_228267, _228263) = tptp_madd(_228265, _228261)), _228267 = _228265, _228263 = _228261], (746 ^ _223547) ^ [_253732] : [-(plus(n3, _253732) = succ(succ(succ(_253732))))], (474 ^ _223547) ^ [_240605, _240607] : [477 ^ _223547 : [(478 ^ _223547) ^ [] : [-(leq(n0, 475 ^ [_240605, _240607]))], (482 ^ _223547) ^ [] : [-(leq(n0, 476 ^ [_240605, _240607]))], (486 ^ _223547) ^ [] : [a_select3(_240607, 475 ^ [_240605, _240607], 476 ^ [_240605, _240607]) = a_select3(_240607, 476 ^ [_240605, _240607], 475 ^ [_240605, _240607])], (484 ^ _223547) ^ [] : [-(leq(476 ^ [_240605, _240607], _240605))], (480 ^ _223547) ^ [] : [-(leq(475 ^ [_240605, _240607], _240605))]], 487 ^ _223547 : [(488 ^ _223547) ^ [_241418, _241420, _241422, _241424] : [-(a_select3(tptp_update3(_240607, _241420, _241420, _241418), _241424, _241422) = a_select3(tptp_update3(_240607, _241420, _241420, _241418), _241422, _241424)), leq(n0, _241424), leq(_241424, _240605), leq(n0, _241422), leq(_241422, _240605), leq(n0, _241420), leq(_241420, _240605)]]], (756 ^ _223547) ^ [_254179] : [-(minus(_254179, n1) = pred(_254179))]], input).
% 73.16/70.91  ncf('1',plain,[-(leq(n1, loopcounter))],start(1057 ^ 0)).
% 73.16/70.91  ncf('1.1',plain,[leq(n1, loopcounter), -(leq(succ(n0), loopcounter)), n1 = succ(n0), loopcounter = loopcounter],extension(62 ^ 1,bind([[_225635, _225637, _225639, _225641], [loopcounter, loopcounter, succ(n0), n1]]))).
% 73.16/70.91  ncf('1.1.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 2,bind([[_254874, _254876], [loopcounter, n0]]))).
% 73.16/70.91  ncf('1.1.1.1',plain,[gt(loopcounter, n0), 1105 : -(a_select2(rho_init, 1128 ^ []) = init), 1105 : leq(n0, 1128 ^ []), 1105 : leq(1128 ^ [], n4)],extension(1101 ^ 3,bind([[_265172], [1128 ^ []]]))).
% 73.16/70.91  ncf('1.1.1.1.1',plain,[a_select2(rho_init, 1128 ^ []) = init],extension(1134 ^ 6)).
% 73.16/70.91  ncf('1.1.1.1.2',plain,[-(leq(n0, 1128 ^ []))],extension(1130 ^ 6)).
% 73.16/70.91  ncf('1.1.1.1.3',plain,[-(leq(1128 ^ [], n4))],extension(1132 ^ 6)).
% 73.16/70.91  ncf('1.1.2',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 2,bind([[_223778, _223780], [n1, succ(n0)]]))).
% 73.16/70.91  ncf('1.1.2.1',plain,[-(succ(n0) = n1)],extension(1049 ^ 3)).
% 73.16/70.91  ncf('1.1.3',plain,[-(loopcounter = loopcounter), -(gt(loopcounter, loopcounter)), leq(loopcounter, loopcounter)],extension(328 ^ 2,bind([[_235117, _235119], [loopcounter, loopcounter]]))).
% 73.16/70.91  ncf('1.1.3.1',plain,[gt(loopcounter, loopcounter)],extension(284 ^ 3,bind([[_233593], [loopcounter]]))).
% 73.16/70.91  ncf('1.1.3.2',plain,[-(leq(loopcounter, loopcounter))],extension(286 ^ 3,bind([[_233671], [loopcounter]]))).
% 73.16/70.91  %-----------------------------------------------------
% 73.16/70.91  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------