%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV141+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 46.76s 45.87s
% Output   : Proof 46.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV141+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n026.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 02:36:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 46.76/45.87  
% 46.76/45.87  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 46.76/45.87  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.76/45.87  %-----------------------------------------------------
% 46.76/45.87  ncf(matrix, plain, [(1043 ^ _259160) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259160) ^ [] : [leq(n0, s_worst7)], (1105 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259160) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259160) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219362) ^ [_222652, _222654, _222656, _222658, _222660, _222662] : [-(tptp_const_array2(_222662, _222658, _222654) = tptp_const_array2(_222660, _222656, _222652)), _222662 = _222660, _222658 = _222656, _222654 = _222652], (734 ^ _219362) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219362) ^ [_233217, _233219, _233221, _233223, _233225, _233227, _233229] : [-(a_select3(tptp_const_array2(dim(_233227, _233225), dim(_233221, _233219), _233217), _233229, _233223) = _233217), leq(_233227, _233229), leq(_233229, _233225), leq(_233221, _233223), leq(_233223, _233219)], (86 ^ _219362) ^ [_222265, _222267, _222269, _222271] : [-(tptp_const_array1(_222271, _222267) = tptp_const_array1(_222269, _222265)), _222271 = _222269, _222267 = _222265], (1039 ^ _219362) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219362) ^ [_226105, _226107, _226109, _226111] : [-(minus(_226111, _226107) = minus(_226109, _226105)), _226111 = _226109, _226107 = _226105], (146 ^ _219362) ^ [_224435, _224437, _224439, _224441] : [-(tptp_mmul(_224441, _224437) = tptp_mmul(_224439, _224435)), _224441 = _224439, _224437 = _224435], (893 ^ _219362) ^ [] : [-(gt(n4, n1))], (889 ^ _219362) ^ [] : [-(gt(n2, n0))], (288 ^ _219362) ^ [_229607, _229609, _229611] : [-(leq(_229611, _229607)), leq(_229611, _229609), leq(_229609, _229607)], (474 ^ _219362) ^ [_236420, _236422] : [477 ^ _219362 : [(478 ^ _219362) ^ [] : [-(leq(n0, 475 ^ [_236420, _236422]))], (482 ^ _219362) ^ [] : [-(leq(n0, 476 ^ [_236420, _236422]))], (486 ^ _219362) ^ [] : [a_select3(_236422, 475 ^ [_236420, _236422], 476 ^ [_236420, _236422]) = a_select3(_236422, 476 ^ [_236420, _236422], 475 ^ [_236420, _236422])], (484 ^ _219362) ^ [] : [-(leq(476 ^ [_236420, _236422], _236420))], (480 ^ _219362) ^ [] : [-(leq(475 ^ [_236420, _236422], _236420))]], 487 ^ _219362 : [(488 ^ _219362) ^ [_237233, _237235, _237237, _237239] : [-(a_select3(tptp_update3(_236422, _237235, _237235, _237233), _237239, _237237) = a_select3(tptp_update3(_236422, _237235, _237235, _237233), _237237, _237239)), leq(n0, _237239), leq(_237239, _236420), leq(n0, _237237), leq(_237237, _236420), leq(n0, _237235), leq(_237235, _236420)]]], (370 ^ _219362) ^ [_232350, _232352] : [leq(n0, _232352), -(leq(uniform_int_rnd(_232350, _232352), _232352))], (76 ^ _219362) ^ [_221906, _221908, _221910, _221912] : [-(uniform_int_rnd(_221912, _221908) = uniform_int_rnd(_221910, _221906)), _221912 = _221910, _221908 = _221906], (186 ^ _219362) ^ [_225859, _225861] : [_225861 = _225859, -(pred(_225861) = pred(_225859))], (316 ^ _219362) ^ [_230510, _230512] : [leq(_230510, _230512), -(geq(_230512, _230510))], (905 ^ _219362) ^ [] : [-(gt(n3, n2))], (732 ^ _219362) ^ [_248989] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248989))], (258 ^ _219362) ^ [_228496, _228498] : [_228498 = _228496, -(succ(_228498) = succ(_228496))], (991 ^ _219362) ^ [_257818] : [leq(n0, _257818), leq(_257818, n2), -(_257818 = n0), -(_257818 = n1), -(_257818 = n2)], (350 ^ _219362) ^ [_231616] : [-(gt(succ(_231616), _231616))], (742 ^ _219362) ^ [_249375] : [-(plus(n2, _249375) = succ(succ(_249375)))], (977 ^ _219362) ^ [_257455] : [leq(n0, _257455), leq(_257455, n1), -(_257455 = n0), -(_257455 = n1)], (286 ^ _219362) ^ [_229486] : [-(leq(_229486, _229486))], (344 ^ _219362) ^ [_231429, _231431] : [gt(_231429, _231431), -(leq(_231431, pred(_231429)))], (2 ^ _219362) ^ [_219486] : [-(_219486 = _219486)], (10 ^ _219362) ^ [_219797, _219799, _219801] : [-(_219801 = _219797), _219801 = _219799, _219799 = _219797], (1035 ^ _219362) ^ [] : [-(succ(n0) = n1)], (877 ^ _219362) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219362) ^ [_243674, _243676, _243678, _243680] : [641 ^ _219362 : [(642 ^ _219362) ^ [] : [-(leq(n0, 639 ^ [_243674, _243676, _243678, _243680]))], (646 ^ _219362) ^ [] : [-(leq(n0, 640 ^ [_243674, _243676, _243678, _243680]))], (650 ^ _219362) ^ [] : [a_select3(_243678, 639 ^ [_243674, _243676, _243678, _243680], 640 ^ [_243674, _243676, _243678, _243680]) = a_select3(_243678, 640 ^ [_243674, _243676, _243678, _243680], 639 ^ [_243674, _243676, _243678, _243680])], (648 ^ _219362) ^ [] : [-(leq(640 ^ [_243674, _243676, _243678, _243680], _243674))], (644 ^ _219362) ^ [] : [-(leq(639 ^ [_243674, _243676, _243678, _243680], _243674))]], 651 ^ _219362 : [(652 ^ _219362) ^ [_244531, _244533] : [-(a_select3(tptp_mmul(_243680, tptp_mmul(_243678, trans(_243680))), _244533, _244531) = a_select3(tptp_mmul(_243680, tptp_mmul(_243678, trans(_243680))), _244531, _244533)), leq(n0, _244533), leq(_244533, _243676), leq(n0, _244531), leq(_244531, _243676)]]], (670 ^ _219362) ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240] : [675 ^ _219362 : [(676 ^ _219362) ^ [] : [-(leq(n0, 673 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (680 ^ _219362) ^ [] : [-(leq(n0, 674 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (684 ^ _219362) ^ [] : [a_select3(_245234, 673 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 674 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]) = a_select3(_245234, 674 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 673 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240])], (682 ^ _219362) ^ [] : [-(leq(674 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245226))], (678 ^ _219362) ^ [] : [-(leq(673 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245226))]], 689 ^ _219362 : [(690 ^ _219362) ^ [] : [-(leq(n0, 687 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (694 ^ _219362) ^ [] : [-(leq(n0, 688 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (698 ^ _219362) ^ [] : [a_select3(_245240, 687 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 688 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]) = a_select3(_245240, 688 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 687 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240])], (696 ^ _219362) ^ [] : [-(leq(688 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245228))], (692 ^ _219362) ^ [] : [-(leq(687 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245228))]], 701 ^ _219362 : [(702 ^ _219362) ^ [] : [-(leq(n0, 699 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (706 ^ _219362) ^ [] : [-(leq(n0, 700 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]))], (710 ^ _219362) ^ [] : [a_select3(_245230, 699 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 700 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240]) = a_select3(_245230, 700 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], 699 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240])], (708 ^ _219362) ^ [] : [-(leq(700 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245228))], (704 ^ _219362) ^ [] : [-(leq(699 ^ [_245226, _245228, _245230, _245232, _245234, _245236, _245238, _245240], _245228))]], 711 ^ _219362 : [(712 ^ _219362) ^ [_248154, _248156] : [-(a_select3(tptp_madd(_245240, tptp_mmul(_245238, tptp_mmul(tptp_madd(tptp_mmul(_245236, tptp_mmul(_245234, trans(_245236))), tptp_mmul(_245232, tptp_mmul(_245230, trans(_245232)))), trans(_245238)))), _248156, _248154) = a_select3(tptp_madd(_245240, tptp_mmul(_245238, tptp_mmul(tptp_madd(tptp_mmul(_245236, tptp_mmul(_245234, trans(_245236))), tptp_mmul(_245232, tptp_mmul(_245230, trans(_245232)))), trans(_245238)))), _248154, _248156)), leq(n0, _248156), leq(_248156, _245228), leq(n0, _248154), leq(_248154, _245228)]]], (873 ^ _219362) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219362) ^ [_242242, _242244, _242246] : [609 ^ _219362 : [(610 ^ _219362) ^ [] : [-(leq(n0, 607 ^ [_242242, _242244, _242246]))], (614 ^ _219362) ^ [] : [-(leq(n0, 608 ^ [_242242, _242244, _242246]))], (618 ^ _219362) ^ [] : [a_select3(_242244, 607 ^ [_242242, _242244, _242246], 608 ^ [_242242, _242244, _242246]) = a_select3(_242244, 608 ^ [_242242, _242244, _242246], 607 ^ [_242242, _242244, _242246])], (616 ^ _219362) ^ [] : [-(leq(608 ^ [_242242, _242244, _242246], _242242))], (612 ^ _219362) ^ [] : [-(leq(607 ^ [_242242, _242244, _242246], _242242))]], 619 ^ _219362 : [(620 ^ _219362) ^ [_243055, _243057] : [-(a_select3(tptp_mmul(_242246, tptp_mmul(_242244, trans(_242246))), _243057, _243055) = a_select3(tptp_mmul(_242246, tptp_mmul(_242244, trans(_242246))), _243055, _243057)), leq(n0, _243057), leq(_243057, _242242), leq(n0, _243055), leq(_243055, _242242)]]], (756 ^ _219362) ^ [_249994] : [-(minus(_249994, n1) = pred(_249994))], (244 ^ _219362) ^ [_228056, _228058, _228060, _228062, _228064, _228066] : [-(tptp_update2(_228066, _228062, _228058) = tptp_update2(_228064, _228060, _228056)), _228066 = _228064, _228062 = _228060, _228058 = _228056], (891 ^ _219362) ^ [] : [-(gt(n3, n0))], (264 ^ _219362) ^ [_228814, _228816] : [-(gt(_228816, _228814)), -(gt(_228814, _228816)), -(_228816 = _228814)], (869 ^ _219362) ^ [] : [-(gt(n5, n4))], (156 ^ _219362) ^ [_224766, _224768] : [_224768 = _224766, -(trans(_224768) = trans(_224766))], (382 ^ _219362) ^ [_232810, _232812, _232814, _232816] : [-(a_select2(tptp_const_array1(dim(_232814, _232812), _232810), _232816) = _232810), leq(_232814, _232816), leq(_232816, _232812)], (865 ^ _219362) ^ [] : [-(true)], (364 ^ _219362) ^ [_232134, _232136] : [gt(succ(_232134), _232136), -(leq(_232136, _232134))], (883 ^ _219362) ^ [] : [-(gt(n4, n0))], (911 ^ _219362) ^ [_255852] : [leq(n0, _255852), leq(_255852, n4), -(_255852 = n0), -(_255852 = n1), -(_255852 = n2), -(_255852 = n3), -(_255852 = n4)], (352 ^ _219362) ^ [_231725, _231727] : [leq(_231727, _231725), -(leq(_231727, succ(_231725)))], (274 ^ _219362) ^ [_229129, _229131, _229133] : [-(gt(_229133, _229129)), gt(_229133, _229131), gt(_229131, _229129)], (20 ^ _219362) ^ [_220138, _220140, _220142, _220144] : [-(lt(_220142, _220138)), lt(_220144, _220140), _220144 = _220142, _220140 = _220138], (937 ^ _219362) ^ [_256473] : [leq(n0, _256473), leq(_256473, n5), -(_256473 = n0), -(_256473 = n1), -(_256473 = n2), -(_256473 = n3), -(_256473 = n4), -(_256473 = n5)], (1009 ^ _219362) ^ [_258267] : [leq(n0, _258267), leq(_258267, n3), -(_258267 = n0), -(_258267 = n1), -(_258267 = n2), -(_258267 = n3)], (162 ^ _219362) ^ [_225040, _225042, _225044, _225046, _225048, _225050] : [-(sum(_225050, _225046, _225042) = sum(_225048, _225044, _225040)), _225050 = _225048, _225046 = _225044, _225042 = _225040], (788 ^ _219362) ^ [_251324, _251326, _251328, _251330, _251332, _251334, _251336] : [-(a_select3(tptp_update3(_251328, _251336, _251334, _251324), _251332, _251330) = _251326), -(_251336 = _251332), _251334 = _251330, a_select3(_251328, _251332, _251330) = _251326], (298 ^ _219362) ^ [_229945, _229947] : [lt(_229947, _229945), -(gt(_229945, _229947))], (885 ^ _219362) ^ [] : [-(gt(n5, n0))], (34 ^ _219362) ^ [_220582, _220584, _220586, _220588] : [-(geq(_220586, _220582)), geq(_220588, _220584), _220588 = _220586, _220584 = _220582], (328 ^ _219362) ^ [_230932, _230934] : [-(gt(_230932, _230934)), leq(_230934, _230932), -(_230934 = _230932)], (740 ^ _219362) ^ [_249290] : [-(plus(_249290, n2) = succ(succ(_249290)))], (786 ^ _219362) ^ [_251132, _251134, _251136, _251138] : [-(a_select3(tptp_update3(_251138, _251136, _251134, _251132), _251136, _251134) = _251132)], (846 ^ _219362) ^ [_253749, _253751, _253753, _253755] : [-(a_select2(tptp_update2(_253751, _253753, _253749), _253755) = _253749), 850 ^ _219362 : [(855 ^ _219362) ^ [] : [a_select2(_253751, 849 ^ [_253749, _253751, _253753, _253755]) = _253749], (853 ^ _219362) ^ [] : [-(leq(849 ^ [_253749, _253751, _253753, _253755], _253753))], (851 ^ _219362) ^ [] : [-(leq(n0, 849 ^ [_253749, _253751, _253753, _253755]))]], leq(n0, _253755), leq(_253755, _253753)], (48 ^ _219362) ^ [_221026, _221028, _221030, _221032] : [-(gt(_221030, _221026)), gt(_221032, _221028), _221032 = _221030, _221028 = _221026], (284 ^ _219362) ^ [_229408] : [gt(_229408, _229408)], (752 ^ _219362) ^ [_249812] : [-(plus(_249812, n5) = succ(succ(succ(succ(succ(_249812))))))], (887 ^ _219362) ^ [] : [-(gt(n1, n0))], (758 ^ _219362) ^ [_250077] : [-(pred(succ(_250077)) = _250077)], (760 ^ _219362) ^ [_250159] : [-(succ(pred(_250159)) = _250159)], (1033 ^ _219362) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219362) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219362) ^ [_232566, _232568] : [leq(n0, _232568), -(leq(n0, uniform_int_rnd(_232566, _232568)))], (746 ^ _219362) ^ [_249547] : [-(plus(n3, _249547) = succ(succ(succ(_249547))))], (310 ^ _219362) ^ [_230348, _230350] : [geq(_230350, _230348), -(leq(_230348, _230350))], (338 ^ _219362) ^ [_231263, _231265] : [leq(_231265, pred(_231263)), -(gt(_231263, _231265))], (901 ^ _219362) ^ [] : [-(gt(n4, n2))], (62 ^ _219362) ^ [_221450, _221452, _221454, _221456] : [-(leq(_221454, _221450)), leq(_221456, _221452), _221456 = _221454, _221452 = _221450], (410 ^ _219362) ^ [_233812, _233814] : [413 ^ _219362 : [(414 ^ _219362) ^ [] : [-(leq(n0, 411 ^ [_233812, _233814]))], (418 ^ _219362) ^ [] : [-(leq(n0, 412 ^ [_233812, _233814]))], (422 ^ _219362) ^ [] : [a_select3(_233814, 411 ^ [_233812, _233814], 412 ^ [_233812, _233814]) = a_select3(_233814, 412 ^ [_233812, _233814], 411 ^ [_233812, _233814])], (420 ^ _219362) ^ [] : [-(leq(412 ^ [_233812, _233814], _233812))], (416 ^ _219362) ^ [] : [-(leq(411 ^ [_233812, _233814], _233812))]], 423 ^ _219362 : [(424 ^ _219362) ^ [_234569, _234571] : [-(a_select3(trans(_233814), _234571, _234569) = a_select3(trans(_233814), _234569, _234571)), leq(n0, _234571), leq(_234571, _233812), leq(n0, _234569), leq(_234569, _233812)]]], (202 ^ _219362) ^ [_226492, _226494, _226496, _226498, _226500, _226502] : [-(a_select3(_226502, _226498, _226494) = a_select3(_226500, _226496, _226492)), _226502 = _226500, _226498 = _226496, _226494 = _226492], (176 ^ _219362) ^ [_225528, _225530, _225532, _225534] : [-(plus(_225534, _225530) = plus(_225532, _225528)), _225534 = _225532, _225530 = _225528], (768 ^ _219362) ^ [_250469, _250471] : [leq(_250471, _250469), -(leq(succ(_250471), succ(_250469)))], (1031 ^ _219362) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219362) ^ [_248907] : [-(sum(n0, tptp_minus_1, _248907) = n0)], (560 ^ _219362) ^ [_240147, _240149, _240151] : [565 ^ _219362 : [(566 ^ _219362) ^ [] : [-(leq(n0, 563 ^ [_240147, _240149, _240151]))], (570 ^ _219362) ^ [] : [-(leq(n0, 564 ^ [_240147, _240149, _240151]))], (574 ^ _219362) ^ [] : [a_select3(_240151, 563 ^ [_240147, _240149, _240151], 564 ^ [_240147, _240149, _240151]) = a_select3(_240151, 564 ^ [_240147, _240149, _240151], 563 ^ [_240147, _240149, _240151])], (572 ^ _219362) ^ [] : [-(leq(564 ^ [_240147, _240149, _240151], _240147))], (568 ^ _219362) ^ [] : [-(leq(563 ^ [_240147, _240149, _240151], _240147))]], 577 ^ _219362 : [(578 ^ _219362) ^ [] : [-(leq(n0, 575 ^ [_240147, _240149, _240151]))], (582 ^ _219362) ^ [] : [-(leq(n0, 576 ^ [_240147, _240149, _240151]))], (586 ^ _219362) ^ [] : [a_select3(_240149, 575 ^ [_240147, _240149, _240151], 576 ^ [_240147, _240149, _240151]) = a_select3(_240149, 576 ^ [_240147, _240149, _240151], 575 ^ [_240147, _240149, _240151])], (584 ^ _219362) ^ [] : [-(leq(576 ^ [_240147, _240149, _240151], _240147))], (580 ^ _219362) ^ [] : [-(leq(575 ^ [_240147, _240149, _240151], _240147))]], 587 ^ _219362 : [(588 ^ _219362) ^ [_241656, _241658] : [-(a_select3(tptp_msub(_240151, _240149), _241658, _241656) = a_select3(tptp_msub(_240151, _240149), _241656, _241658)), leq(n0, _241658), leq(_241658, _240147), leq(n0, _241656), leq(_241656, _240147)]]], (967 ^ _219362) ^ [_257180] : [-(_257180 = n0), leq(n0, _257180), leq(_257180, n0)], (110 ^ _219362) ^ [_223140, _223142, _223144, _223146] : [-(dim(_223146, _223142) = dim(_223144, _223140)), _223146 = _223144, _223142 = _223140], (442 ^ _219362) ^ [_235116, _235118] : [445 ^ _219362 : [(446 ^ _219362) ^ [] : [-(leq(n0, 443 ^ [_235116, _235118]))], (450 ^ _219362) ^ [] : [-(leq(n0, 444 ^ [_235116, _235118]))], (454 ^ _219362) ^ [] : [a_select3(_235118, 443 ^ [_235116, _235118], 444 ^ [_235116, _235118]) = a_select3(_235118, 444 ^ [_235116, _235118], 443 ^ [_235116, _235118])], (452 ^ _219362) ^ [] : [-(leq(444 ^ [_235116, _235118], _235116))], (448 ^ _219362) ^ [] : [-(leq(443 ^ [_235116, _235118], _235116))]], 455 ^ _219362 : [(456 ^ _219362) ^ [_235873, _235875] : [-(a_select3(inv(_235118), _235875, _235873) = a_select3(inv(_235118), _235873, _235875)), leq(n0, _235875), leq(_235875, _235116), leq(n0, _235873), leq(_235873, _235116)]]], (1037 ^ _219362) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219362) ^ [_223471, _223473] : [_223473 = _223471, -(inv(_223473) = inv(_223471))], (907 ^ _219362) ^ [] : [-(gt(n4, n3))], (358 ^ _219362) ^ [_231968, _231970] : [leq(_231970, _231968), -(gt(succ(_231968), _231970))], (836 ^ _219362) ^ [_253369, _253371, _253373, _253375, _253377] : [-(a_select2(tptp_update2(_253373, _253377, _253369), _253375) = _253371), -(_253377 = _253375), a_select2(_253373, _253375) = _253371], (879 ^ _219362) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219362) ^ [_249207] : [-(plus(n1, _249207) = succ(_249207))], (867 ^ _219362) ^ [] : [def = use], (4 ^ _219362) ^ [_219593, _219595] : [_219595 = _219593, -(_219593 = _219595)], (895 ^ _219362) ^ [] : [-(gt(n5, n1))], (909 ^ _219362) ^ [] : [-(gt(n5, n3))], (750 ^ _219362) ^ [_249723] : [-(plus(n4, _249723) = succ(succ(succ(succ(_249723)))))], (322 ^ _219362) ^ [_230722, _230724] : [gt(_230722, _230724), -(leq(_230724, _230722))], (875 ^ _219362) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219362) ^ [_251867, _251869, _251871, _251873, _251875, _251877] : [-(a_select3(tptp_update3(_251869, _251873, _251871, _251867), _251877, _251875) = _251867), 807 ^ _219362 : [(808 ^ _219362) ^ [] : [-(leq(n0, 805 ^ [_251867, _251869, _251871, _251873, _251875, _251877]))], (812 ^ _219362) ^ [] : [-(leq(805 ^ [_251867, _251869, _251871, _251873, _251875, _251877], _251873))], (816 ^ _219362) ^ [] : [a_select3(_251869, 805 ^ [_251867, _251869, _251871, _251873, _251875, _251877], 806 ^ [_251867, _251869, _251871, _251873, _251875, _251877]) = _251867], (814 ^ _219362) ^ [] : [-(leq(806 ^ [_251867, _251869, _251871, _251873, _251875, _251877], _251871))], (810 ^ _219362) ^ [] : [-(leq(n0, 806 ^ [_251867, _251869, _251871, _251873, _251875, _251877]))]], leq(n0, _251877), leq(_251877, _251873), leq(n0, _251875), leq(_251875, _251871)], (234 ^ _219362) ^ [_227669, _227671, _227673, _227675] : [-(a_select2(_227675, _227671) = a_select2(_227673, _227669)), _227675 = _227673, _227671 = _227669], (774 ^ _219362) ^ [_250689, _250691] : [leq(succ(_250691), _250689), -(gt(_250689, _250691))], (897 ^ _219362) ^ [] : [-(gt(n2, n1))], (881 ^ _219362) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219362) ^ [_227036, _227038, _227040, _227042, _227044, _227046, _227048, _227050] : [-(tptp_update3(_227050, _227046, _227042, _227038) = tptp_update3(_227048, _227044, _227040, _227036)), _227050 = _227048, _227046 = _227044, _227042 = _227040, _227038 = _227036], (304 ^ _219362) ^ [_230107, _230109] : [gt(_230107, _230109), -(lt(_230109, _230107))], (762 ^ _219362) ^ [_250299, _250301] : [leq(succ(_250301), succ(_250299)), -(leq(_250301, _250299))], (514 ^ _219362) ^ [_238052, _238054, _238056] : [519 ^ _219362 : [(520 ^ _219362) ^ [] : [-(leq(n0, 517 ^ [_238052, _238054, _238056]))], (524 ^ _219362) ^ [] : [-(leq(n0, 518 ^ [_238052, _238054, _238056]))], (528 ^ _219362) ^ [] : [a_select3(_238056, 517 ^ [_238052, _238054, _238056], 518 ^ [_238052, _238054, _238056]) = a_select3(_238056, 518 ^ [_238052, _238054, _238056], 517 ^ [_238052, _238054, _238056])], (526 ^ _219362) ^ [] : [-(leq(518 ^ [_238052, _238054, _238056], _238052))], (522 ^ _219362) ^ [] : [-(leq(517 ^ [_238052, _238054, _238056], _238052))]], 531 ^ _219362 : [(532 ^ _219362) ^ [] : [-(leq(n0, 529 ^ [_238052, _238054, _238056]))], (536 ^ _219362) ^ [] : [-(leq(n0, 530 ^ [_238052, _238054, _238056]))], (540 ^ _219362) ^ [] : [a_select3(_238054, 529 ^ [_238052, _238054, _238056], 530 ^ [_238052, _238054, _238056]) = a_select3(_238054, 530 ^ [_238052, _238054, _238056], 529 ^ [_238052, _238054, _238056])], (538 ^ _219362) ^ [] : [-(leq(530 ^ [_238052, _238054, _238056], _238052))], (534 ^ _219362) ^ [] : [-(leq(529 ^ [_238052, _238054, _238056], _238052))]], 541 ^ _219362 : [(542 ^ _219362) ^ [_239561, _239563] : [-(a_select3(tptp_madd(_238056, _238054), _239563, _239561) = a_select3(tptp_madd(_238056, _238054), _239561, _239563)), leq(n0, _239563), leq(_239563, _238052), leq(n0, _239561), leq(_239561, _238052)]]], (136 ^ _219362) ^ [_224076, _224078, _224080, _224082] : [-(tptp_madd(_224082, _224078) = tptp_madd(_224080, _224076)), _224082 = _224080, _224078 = _224076], (899 ^ _219362) ^ [] : [-(gt(n3, n1))], (780 ^ _219362) ^ [_250903, _250905] : [leq(minus(_250905, _250903), _250905), -(leq(n0, _250903))], (748 ^ _219362) ^ [_249634] : [-(plus(_249634, n4) = succ(succ(succ(succ(_249634)))))], (126 ^ _219362) ^ [_223717, _223719, _223721, _223723] : [-(tptp_msub(_223723, _223719) = tptp_msub(_223721, _223717)), _223723 = _223721, _223719 = _223717], (903 ^ _219362) ^ [] : [-(gt(n5, n2))], (834 ^ _219362) ^ [_253209, _253211, _253213] : [-(a_select2(tptp_update2(_253213, _253211, _253209), _253211) = _253209)], (744 ^ _219362) ^ [_249460] : [-(plus(_249460, n3) = succ(succ(succ(_249460))))], (736 ^ _219362) ^ [_249124] : [-(plus(_249124, n1) = succ(_249124))], (754 ^ _219362) ^ [_249903] : [-(plus(n5, _249903) = succ(succ(succ(succ(succ(_249903))))))]], input).
% 46.76/45.87  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 46.76/45.87  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230932, _230934], [loopcounter, n1]]))).
% 46.76/45.87  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229129, _229131, _229133], [n0, n1, loopcounter]]))).
% 46.76/45.87  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_worst7))],extension(1093 ^ 3)).
% 46.76/45.87  ncf('1.1.1.1.1',plain,[leq(n0, s_worst7)],extension(1117 ^ 4)).
% 46.76/45.87  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 46.76/45.87  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221450, _221452, _221454, _221456], [loopcounter, n1, succ(n0), n1]]))).
% 46.76/45.87  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250689, _250691], [loopcounter, n0]]))).
% 46.76/45.87  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(n0, s_worst7))],extension(1093 ^ 4)).
% 46.76/45.87  ncf('1.1.2.1.1.1',plain,[leq(n0, s_worst7)],extension(1117 ^ 5)).
% 46.76/45.87  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229486], [n1]]))).
% 46.76/45.87  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219593, _219595], [n1, succ(n0)]]))).
% 46.76/45.87  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 46.76/45.87  %-----------------------------------------------------
% 46.76/45.87  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------