%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV041+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 12:19:49 EDT 2023

% Result   : Theorem 283.63s 273.90s
% Output   : Proof 283.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV041+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n015.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 02:55:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 283.63/273.90  
% 283.63/273.90  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 283.63/273.90  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 283.63/273.90  %-----------------------------------------------------
% 283.63/273.90  ncf(matrix, plain, [(915 ^ _208988) ^ [] : [-(gt(n330, n1))], (929 ^ _208988) ^ [] : [-(gt(n410, n2))], (514 ^ _208988) ^ [_227698, _227700, _227702] : [519 ^ _208988 : [(526 ^ _208988) ^ [] : [-(leq(518 ^ [_227698, _227700, _227702], _227698))], (520 ^ _208988) ^ [] : [-(leq(n0, 517 ^ [_227698, _227700, _227702]))], (524 ^ _208988) ^ [] : [-(leq(n0, 518 ^ [_227698, _227700, _227702]))], (528 ^ _208988) ^ [] : [a_select3(_227702, 517 ^ [_227698, _227700, _227702], 518 ^ [_227698, _227700, _227702]) = a_select3(_227702, 518 ^ [_227698, _227700, _227702], 517 ^ [_227698, _227700, _227702])], (522 ^ _208988) ^ [] : [-(leq(517 ^ [_227698, _227700, _227702], _227698))]], 531 ^ _208988 : [(538 ^ _208988) ^ [] : [-(leq(530 ^ [_227698, _227700, _227702], _227698))], (532 ^ _208988) ^ [] : [-(leq(n0, 529 ^ [_227698, _227700, _227702]))], (536 ^ _208988) ^ [] : [-(leq(n0, 530 ^ [_227698, _227700, _227702]))], (540 ^ _208988) ^ [] : [a_select3(_227700, 529 ^ [_227698, _227700, _227702], 530 ^ [_227698, _227700, _227702]) = a_select3(_227700, 530 ^ [_227698, _227700, _227702], 529 ^ [_227698, _227700, _227702])], (534 ^ _208988) ^ [] : [-(leq(529 ^ [_227698, _227700, _227702], _227698))]], 541 ^ _208988 : [(542 ^ _208988) ^ [_229207, _229209] : [-(a_select3(tptp_madd(_227702, _227700), _229209, _229207) = a_select3(tptp_madd(_227702, _227700), _229207, _229209)), leq(n0, _229209), leq(_229209, _227698), leq(n0, _229207), leq(_229207, _227698)]]], (286 ^ _208988) ^ [_219132] : [-(leq(_219132, _219132))], (877 ^ _208988) ^ [] : [-(gt(n410, n5))], (338 ^ _208988) ^ [_220909, _220911] : [leq(_220911, pred(_220909)), -(gt(_220909, _220911))], (732 ^ _208988) ^ [_238635] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _238635))], (328 ^ _208988) ^ [_220578, _220580] : [-(gt(_220578, _220580)), leq(_220580, _220578), -(_220580 = _220578)], (883 ^ _208988) ^ [] : [-(gt(n5, tptp_minus_1))], (264 ^ _208988) ^ [_218460, _218462] : [-(gt(_218462, _218460)), -(gt(_218460, _218462)), -(_218462 = _218460)], (740 ^ _208988) ^ [_238936] : [-(plus(_238936, n2) = succ(succ(_238936)))], (762 ^ _208988) ^ [_239945, _239947] : [leq(succ(_239947), succ(_239945)), -(leq(_239947, _239945))], (112 ^ _208988) ^ [_212847, _212849, _212851, _212853] : [-(tptp_madd(_212853, _212849) = tptp_madd(_212851, _212847)), _212853 = _212851, _212849 = _212847], (240 ^ _208988) ^ [_217561, _217563, _217565, _217567, _217569, _217571] : [-(tptp_const_array2(_217571, _217567, _217563) = tptp_const_array2(_217569, _217565, _217561)), _217571 = _217569, _217567 = _217565, _217563 = _217561], (895 ^ _208988) ^ [] : [-(gt(n3, tptp_minus_1))], (734 ^ _208988) ^ [] : [-(succ(tptp_minus_1) = n0)], (746 ^ _208988) ^ [_239193] : [-(plus(n3, _239193) = succ(succ(succ(_239193))))], (284 ^ _208988) ^ [_219054] : [gt(_219054, _219054)], (780 ^ _208988) ^ [_240549, _240551] : [leq(minus(_240551, _240549), _240551), -(leq(n0, _240549))], (909 ^ _208988) ^ [] : [-(gt(n3, n0))], (350 ^ _208988) ^ [_221262] : [-(gt(succ(_221262), _221262))], (186 ^ _208988) ^ [_215565, _215567, _215569, _215571] : [-(a_select2(_215571, _215567) = a_select2(_215569, _215565)), _215571 = _215569, _215567 = _215565], (744 ^ _208988) ^ [_239106] : [-(plus(_239106, n3) = succ(succ(succ(_239106))))], (865 ^ _208988) ^ [] : [-(true)], (288 ^ _208988) ^ [_219253, _219255, _219257] : [-(leq(_219257, _219253)), leq(_219257, _219255), leq(_219255, _219253)], (786 ^ _208988) ^ [_240778, _240780, _240782, _240784] : [-(a_select3(tptp_update3(_240784, _240782, _240780, _240778), _240782, _240780) = _240778)], (897 ^ _208988) ^ [] : [-(gt(n4, n0))], (939 ^ _208988) ^ [] : [-(gt(n410, n3))], (560 ^ _208988) ^ [_229793, _229795, _229797] : [565 ^ _208988 : [(572 ^ _208988) ^ [] : [-(leq(564 ^ [_229793, _229795, _229797], _229793))], (566 ^ _208988) ^ [] : [-(leq(n0, 563 ^ [_229793, _229795, _229797]))], (570 ^ _208988) ^ [] : [-(leq(n0, 564 ^ [_229793, _229795, _229797]))], (574 ^ _208988) ^ [] : [a_select3(_229797, 563 ^ [_229793, _229795, _229797], 564 ^ [_229793, _229795, _229797]) = a_select3(_229797, 564 ^ [_229793, _229795, _229797], 563 ^ [_229793, _229795, _229797])], (568 ^ _208988) ^ [] : [-(leq(563 ^ [_229793, _229795, _229797], _229793))]], 577 ^ _208988 : [(584 ^ _208988) ^ [] : [-(leq(576 ^ [_229793, _229795, _229797], _229793))], (578 ^ _208988) ^ [] : [-(leq(n0, 575 ^ [_229793, _229795, _229797]))], (582 ^ _208988) ^ [] : [-(leq(n0, 576 ^ [_229793, _229795, _229797]))], (586 ^ _208988) ^ [] : [a_select3(_229795, 575 ^ [_229793, _229795, _229797], 576 ^ [_229793, _229795, _229797]) = a_select3(_229795, 576 ^ [_229793, _229795, _229797], 575 ^ [_229793, _229795, _229797])], (580 ^ _208988) ^ [] : [-(leq(575 ^ [_229793, _229795, _229797], _229793))]], 587 ^ _208988 : [(588 ^ _208988) ^ [_231302, _231304] : [-(a_select3(tptp_msub(_229797, _229795), _231304, _231302) = a_select3(tptp_msub(_229797, _229795), _231302, _231304)), leq(n0, _231304), leq(_231304, _229793), leq(n0, _231302), leq(_231302, _229793)]]], (10 ^ _208988) ^ [_209443, _209445, _209447] : [-(_209447 = _209443), _209447 = _209445, _209445 = _209443], (913 ^ _208988) ^ [] : [-(gt(n5, n1))], (836 ^ _208988) ^ [_243015, _243017, _243019, _243021, _243023] : [-(a_select2(tptp_update2(_243019, _243023, _243015), _243021) = _243017), -(_243023 = _243021), a_select2(_243019, _243021) = _243017], (867 ^ _208988) ^ [] : [def = use], (997 ^ _208988) ^ [_247621] : [-(_247621 = n0), leq(n0, _247621), leq(_247621, n0)], (756 ^ _208988) ^ [_239640] : [-(minus(_239640, n1) = pred(_239640))], (442 ^ _208988) ^ [_224762, _224764] : [445 ^ _208988 : [(452 ^ _208988) ^ [] : [-(leq(444 ^ [_224762, _224764], _224762))], (446 ^ _208988) ^ [] : [-(leq(n0, 443 ^ [_224762, _224764]))], (450 ^ _208988) ^ [] : [-(leq(n0, 444 ^ [_224762, _224764]))], (454 ^ _208988) ^ [] : [a_select3(_224764, 443 ^ [_224762, _224764], 444 ^ [_224762, _224764]) = a_select3(_224764, 444 ^ [_224762, _224764], 443 ^ [_224762, _224764])], (448 ^ _208988) ^ [] : [-(leq(443 ^ [_224762, _224764], _224762))]], 455 ^ _208988 : [(456 ^ _208988) ^ [_225519, _225521] : [-(a_select3(inv(_224764), _225521, _225519) = a_select3(inv(_224764), _225519, _225521)), leq(n0, _225521), leq(_225521, _224762), leq(n0, _225519), leq(_225519, _224762)]]], (122 ^ _208988) ^ [_213206, _213208, _213210, _213212] : [-(tptp_mmul(_213212, _213208) = tptp_mmul(_213210, _213206)), _213212 = _213210, _213208 = _213206], (911 ^ _208988) ^ [] : [-(gt(n4, n1))], (1061 ^ _208988) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (750 ^ _208988) ^ [_239369] : [-(plus(n4, _239369) = succ(succ(succ(succ(_239369)))))], (216 ^ _208988) ^ [_216658, _216660, _216662, _216664] : [-(minus(_216664, _216660) = minus(_216662, _216658)), _216664 = _216662, _216660 = _216658], (774 ^ _208988) ^ [_240335, _240337] : [leq(succ(_240337), _240335), -(gt(_240335, _240337))], (102 ^ _208988) ^ [_212488, _212490, _212492, _212494] : [-(tptp_msub(_212494, _212490) = tptp_msub(_212492, _212488)), _212494 = _212492, _212490 = _212488], (917 ^ _208988) ^ [] : [-(gt(n410, n1))], (754 ^ _208988) ^ [_239549] : [-(plus(n5, _239549) = succ(succ(succ(succ(succ(_239549))))))], (899 ^ _208988) ^ [] : [-(gt(n5, n0))], (758 ^ _208988) ^ [_239723] : [-(pred(succ(_239723)) = _239723)], (846 ^ _208988) ^ [_243395, _243397, _243399, _243401] : [-(a_select2(tptp_update2(_243397, _243399, _243395), _243401) = _243395), 850 ^ _208988 : [(851 ^ _208988) ^ [] : [-(leq(n0, 849 ^ [_243395, _243397, _243399, _243401]))], (855 ^ _208988) ^ [] : [a_select2(_243397, 849 ^ [_243395, _243397, _243399, _243401]) = _243395], (853 ^ _208988) ^ [] : [-(leq(849 ^ [_243395, _243397, _243399, _243401], _243399))]], leq(n0, _243401), leq(_243401, _243399)], (168 ^ _208988) ^ [_214932, _214934, _214936, _214938, _214940, _214942, _214944, _214946] : [-(tptp_update3(_214946, _214942, _214938, _214934) = tptp_update3(_214944, _214940, _214936, _214932)), _214946 = _214944, _214942 = _214940, _214938 = _214936, _214934 = _214932], (760 ^ _208988) ^ [_239805] : [-(succ(pred(_239805)) = _239805)], (410 ^ _208988) ^ [_223458, _223460] : [413 ^ _208988 : [(420 ^ _208988) ^ [] : [-(leq(412 ^ [_223458, _223460], _223458))], (414 ^ _208988) ^ [] : [-(leq(n0, 411 ^ [_223458, _223460]))], (418 ^ _208988) ^ [] : [-(leq(n0, 412 ^ [_223458, _223460]))], (422 ^ _208988) ^ [] : [a_select3(_223460, 411 ^ [_223458, _223460], 412 ^ [_223458, _223460]) = a_select3(_223460, 412 ^ [_223458, _223460], 411 ^ [_223458, _223460])], (416 ^ _208988) ^ [] : [-(leq(411 ^ [_223458, _223460], _223458))]], 423 ^ _208988 : [(424 ^ _208988) ^ [_224215, _224217] : [-(a_select3(trans(_223460), _224217, _224215) = a_select3(trans(_223460), _224215, _224217)), leq(n0, _224217), leq(_224217, _223458), leq(n0, _224215), leq(_224215, _223458)]]], (891 ^ _208988) ^ [] : [-(gt(n1, tptp_minus_1))], (967 ^ _208988) ^ [_246914] : [leq(n0, _246914), leq(_246914, n5), -(_246914 = n0), -(_246914 = n1), -(_246914 = n2), -(_246914 = n3), -(_246914 = n4), -(_246914 = n5)], (344 ^ _208988) ^ [_221075, _221077] : [gt(_221075, _221077), -(leq(_221077, pred(_221075)))], (736 ^ _208988) ^ [_238770] : [-(plus(_238770, n1) = succ(_238770))], (1078 ^ _208988) ^ [] : [-(leq(1074 ^ [], n2))], (893 ^ _208988) ^ [] : [-(gt(n2, tptp_minus_1))], (2 ^ _208988) ^ [_209132] : [-(_209132 = _209132)], (96 ^ _208988) ^ [_212242, _212244] : [_212244 = _212242, -(inv(_212244) = inv(_212242))], (903 ^ _208988) ^ [] : [-(gt(n410, n0))], (925 ^ _208988) ^ [] : [-(gt(n5, n2))], (4 ^ _208988) ^ [_209239, _209241] : [_209241 = _209239, -(_209239 = _209241)], (879 ^ _208988) ^ [] : [-(gt(n410, n330))], (352 ^ _208988) ^ [_221371, _221373] : [leq(_221373, _221371), -(leq(_221373, succ(_221371)))], (802 ^ _208988) ^ [_241513, _241515, _241517, _241519, _241521, _241523] : [-(a_select3(tptp_update3(_241515, _241519, _241517, _241513), _241523, _241521) = _241513), 807 ^ _208988 : [(814 ^ _208988) ^ [] : [-(leq(806 ^ [_241513, _241515, _241517, _241519, _241521, _241523], _241517))], (808 ^ _208988) ^ [] : [-(leq(n0, 805 ^ [_241513, _241515, _241517, _241519, _241521, _241523]))], (812 ^ _208988) ^ [] : [-(leq(805 ^ [_241513, _241515, _241517, _241519, _241521, _241523], _241519))], (816 ^ _208988) ^ [] : [a_select3(_241515, 805 ^ [_241513, _241515, _241517, _241519, _241521, _241523], 806 ^ [_241513, _241515, _241517, _241519, _241521, _241523]) = _241513], (810 ^ _208988) ^ [] : [-(leq(n0, 806 ^ [_241513, _241515, _241517, _241519, _241521, _241523]))]], leq(n0, _241523), leq(_241523, _241519), leq(n0, _241521), leq(_241521, _241517)], (376 ^ _208988) ^ [_222212, _222214] : [leq(n0, _222214), -(leq(n0, uniform_int_rnd(_222212, _222214)))], (34 ^ _208988) ^ [_210228, _210230, _210232, _210234] : [-(gt(_210232, _210228)), gt(_210234, _210230), _210234 = _210232, _210230 = _210228], (875 ^ _208988) ^ [] : [-(gt(n330, n5))], (768 ^ _208988) ^ [_240115, _240117] : [leq(_240117, _240115), -(leq(succ(_240117), succ(_240115)))], (162 ^ _208988) ^ [_214630, _214632] : [_214632 = _214630, -(pred(_214632) = pred(_214630))], (901 ^ _208988) ^ [] : [-(gt(n330, n0))], (927 ^ _208988) ^ [] : [-(gt(n330, n2))], (1065 ^ _208988) ^ [] : [-(succ(n0) = n1)], (742 ^ _208988) ^ [_239021] : [-(plus(n2, _239021) = succ(succ(_239021)))], (1081 ^ _208988) ^ [] : [-(leq(n0, 1079 ^ []))], (788 ^ _208988) ^ [_240970, _240972, _240974, _240976, _240978, _240980, _240982] : [-(a_select3(tptp_update3(_240974, _240982, _240980, _240970), _240978, _240976) = _240972), -(_240982 = _240978), _240980 = _240976, a_select3(_240974, _240978, _240976) = _240972], (935 ^ _208988) ^ [] : [-(gt(n5, n3))], (138 ^ _208988) ^ [_213811, _213813, _213815, _213817, _213819, _213821] : [-(sum(_213821, _213817, _213813) = sum(_213819, _213815, _213811)), _213821 = _213819, _213817 = _213815, _213813 = _213811], (881 ^ _208988) ^ [] : [-(gt(n4, tptp_minus_1))], (1039 ^ _208988) ^ [_248708] : [leq(n0, _248708), leq(_248708, n3), -(_248708 = n0), -(_248708 = n1), -(_248708 = n2), -(_248708 = n3)], (382 ^ _208988) ^ [_222456, _222458, _222460, _222462] : [-(a_select2(tptp_const_array1(dim(_222460, _222458), _222456), _222462) = _222456), leq(_222460, _222462), leq(_222462, _222458)], (941 ^ _208988) ^ [_246293] : [leq(n0, _246293), leq(_246293, n4), -(_246293 = n0), -(_246293 = n1), -(_246293 = n2), -(_246293 = n3), -(_246293 = n4)], (274 ^ _208988) ^ [_218775, _218777, _218779] : [-(gt(_218779, _218775)), gt(_218779, _218777), gt(_218777, _218775)], (310 ^ _208988) ^ [_219994, _219996] : [geq(_219996, _219994), -(leq(_219994, _219996))], (86 ^ _208988) ^ [_211911, _211913, _211915, _211917] : [-(tptp_const_array1(_211917, _211913) = tptp_const_array1(_211915, _211911)), _211917 = _211915, _211913 = _211911], (254 ^ _208988) ^ [_218029, _218031, _218033, _218035] : [-(dim(_218035, _218031) = dim(_218033, _218029)), _218035 = _218033, _218031 = _218029], (304 ^ _208988) ^ [_219753, _219755] : [gt(_219753, _219755), -(lt(_219755, _219753))], (1063 ^ _208988) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (62 ^ _208988) ^ [_211096, _211098, _211100, _211102] : [-(leq(_211100, _211096)), leq(_211102, _211098), _211102 = _211100, _211098 = _211096], (937 ^ _208988) ^ [] : [-(gt(n330, n3))], (748 ^ _208988) ^ [_239280] : [-(plus(_239280, n4) = succ(succ(succ(succ(_239280)))))], (152 ^ _208988) ^ [_214299, _214301, _214303, _214305] : [-(plus(_214305, _214301) = plus(_214303, _214299)), _214305 = _214303, _214301 = _214299], (730 ^ _208988) ^ [_238553] : [-(sum(n0, tptp_minus_1, _238553) = n0)], (196 ^ _208988) ^ [_215952, _215954, _215956, _215958, _215960, _215962] : [-(tptp_update2(_215962, _215958, _215954) = tptp_update2(_215960, _215956, _215952)), _215962 = _215960, _215958 = _215956, _215954 = _215952], (392 ^ _208988) ^ [_222863, _222865, _222867, _222869, _222871, _222873, _222875] : [-(a_select3(tptp_const_array2(dim(_222873, _222871), dim(_222867, _222865), _222863), _222875, _222869) = _222863), leq(_222873, _222875), leq(_222875, _222871), leq(_222867, _222869), leq(_222869, _222865)], (933 ^ _208988) ^ [] : [-(gt(n4, n3))], (670 ^ _208988) ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886] : [675 ^ _208988 : [(682 ^ _208988) ^ [] : [-(leq(674 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234872))], (676 ^ _208988) ^ [] : [-(leq(n0, 673 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (680 ^ _208988) ^ [] : [-(leq(n0, 674 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (684 ^ _208988) ^ [] : [a_select3(_234880, 673 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 674 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]) = a_select3(_234880, 674 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 673 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886])], (678 ^ _208988) ^ [] : [-(leq(673 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234872))]], 689 ^ _208988 : [(696 ^ _208988) ^ [] : [-(leq(688 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234874))], (690 ^ _208988) ^ [] : [-(leq(n0, 687 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (694 ^ _208988) ^ [] : [-(leq(n0, 688 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (698 ^ _208988) ^ [] : [a_select3(_234886, 687 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 688 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]) = a_select3(_234886, 688 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 687 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886])], (692 ^ _208988) ^ [] : [-(leq(687 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234874))]], 701 ^ _208988 : [(708 ^ _208988) ^ [] : [-(leq(700 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234874))], (702 ^ _208988) ^ [] : [-(leq(n0, 699 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (706 ^ _208988) ^ [] : [-(leq(n0, 700 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]))], (710 ^ _208988) ^ [] : [a_select3(_234876, 699 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 700 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886]) = a_select3(_234876, 700 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], 699 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886])], (704 ^ _208988) ^ [] : [-(leq(699 ^ [_234872, _234874, _234876, _234878, _234880, _234882, _234884, _234886], _234874))]], 711 ^ _208988 : [(712 ^ _208988) ^ [_237800, _237802] : [-(a_select3(tptp_madd(_234886, tptp_mmul(_234884, tptp_mmul(tptp_madd(tptp_mmul(_234882, tptp_mmul(_234880, trans(_234882))), tptp_mmul(_234878, tptp_mmul(_234876, trans(_234878)))), trans(_234884)))), _237802, _237800) = a_select3(tptp_madd(_234886, tptp_mmul(_234884, tptp_mmul(tptp_madd(tptp_mmul(_234882, tptp_mmul(_234880, trans(_234882))), tptp_mmul(_234878, tptp_mmul(_234876, trans(_234878)))), trans(_234884)))), _237800, _237802)), leq(n0, _237802), leq(_237802, _234874), leq(n0, _237800), leq(_237800, _234874)]]], (76 ^ _208988) ^ [_211552, _211554, _211556, _211558] : [-(uniform_int_rnd(_211558, _211554) = uniform_int_rnd(_211556, _211552)), _211558 = _211556, _211554 = _211552], (873 ^ _208988) ^ [] : [-(gt(n410, n4))], (931 ^ _208988) ^ [] : [-(gt(n3, n2))], (358 ^ _208988) ^ [_221614, _221616] : [leq(_221616, _221614), -(gt(succ(_221614), _221616))], (1073 ^ _208988) ^ [] : [-(geq(minus(n410, n1), n0))], (322 ^ _208988) ^ [_220368, _220370] : [gt(_220368, _220370), -(leq(_220370, _220368))], (210 ^ _208988) ^ [_216412, _216414] : [_216414 = _216412, -(succ(_216414) = succ(_216412))], (907 ^ _208988) ^ [] : [-(gt(n2, n0))], (869 ^ _208988) ^ [] : [-(gt(n5, n4))], (1069 ^ _208988) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1083 ^ _208988) ^ [] : [-(leq(1079 ^ [], minus(n0, n1)))], (226 ^ _208988) ^ [_217045, _217047, _217049, _217051, _217053, _217055] : [-(a_select3(_217055, _217051, _217047) = a_select3(_217053, _217049, _217045)), _217055 = _217053, _217051 = _217049, _217047 = _217045], (923 ^ _208988) ^ [] : [-(gt(n4, n2))], (1021 ^ _208988) ^ [_248259] : [leq(n0, _248259), leq(_248259, n2), -(_248259 = n0), -(_248259 = n1), -(_248259 = n2)], (364 ^ _208988) ^ [_221780, _221782] : [gt(succ(_221780), _221782), -(leq(_221782, _221780))], (1071 ^ _208988) ^ [] : [-(geq(minus(n330, n1), n0))], (1085 ^ _208988) ^ [] : [a_select3(tptp_const_array2(dim(n0, n3), dim(n0, n2), uninit), 1079 ^ [], 1074 ^ []) = init], (606 ^ _208988) ^ [_231888, _231890, _231892] : [609 ^ _208988 : [(616 ^ _208988) ^ [] : [-(leq(608 ^ [_231888, _231890, _231892], _231888))], (610 ^ _208988) ^ [] : [-(leq(n0, 607 ^ [_231888, _231890, _231892]))], (614 ^ _208988) ^ [] : [-(leq(n0, 608 ^ [_231888, _231890, _231892]))], (618 ^ _208988) ^ [] : [a_select3(_231890, 607 ^ [_231888, _231890, _231892], 608 ^ [_231888, _231890, _231892]) = a_select3(_231890, 608 ^ [_231888, _231890, _231892], 607 ^ [_231888, _231890, _231892])], (612 ^ _208988) ^ [] : [-(leq(607 ^ [_231888, _231890, _231892], _231888))]], 619 ^ _208988 : [(620 ^ _208988) ^ [_232701, _232703] : [-(a_select3(tptp_mmul(_231892, tptp_mmul(_231890, trans(_231892))), _232703, _232701) = a_select3(tptp_mmul(_231892, tptp_mmul(_231890, trans(_231892))), _232701, _232703)), leq(n0, _232703), leq(_232703, _231888), leq(n0, _232701), leq(_232701, _231888)]]], (738 ^ _208988) ^ [_238853] : [-(plus(n1, _238853) = succ(_238853))], (132 ^ _208988) ^ [_213537, _213539] : [_213539 = _213537, -(trans(_213539) = trans(_213537))], (887 ^ _208988) ^ [] : [-(gt(n410, tptp_minus_1))], (1076 ^ _208988) ^ [] : [-(leq(n0, 1074 ^ []))], (20 ^ _208988) ^ [_209784, _209786, _209788, _209790] : [-(lt(_209788, _209784)), lt(_209790, _209786), _209790 = _209788, _209786 = _209784], (885 ^ _208988) ^ [] : [-(gt(n330, tptp_minus_1))], (834 ^ _208988) ^ [_242855, _242857, _242859] : [-(a_select2(tptp_update2(_242859, _242857, _242855), _242857) = _242855)], (919 ^ _208988) ^ [] : [-(gt(n2, n1))], (370 ^ _208988) ^ [_221996, _221998] : [leq(n0, _221998), -(leq(uniform_int_rnd(_221996, _221998), _221998))], (889 ^ _208988) ^ [] : [-(gt(n0, tptp_minus_1))], (474 ^ _208988) ^ [_226066, _226068] : [477 ^ _208988 : [(484 ^ _208988) ^ [] : [-(leq(476 ^ [_226066, _226068], _226066))], (478 ^ _208988) ^ [] : [-(leq(n0, 475 ^ [_226066, _226068]))], (482 ^ _208988) ^ [] : [-(leq(n0, 476 ^ [_226066, _226068]))], (486 ^ _208988) ^ [] : [a_select3(_226068, 475 ^ [_226066, _226068], 476 ^ [_226066, _226068]) = a_select3(_226068, 476 ^ [_226066, _226068], 475 ^ [_226066, _226068])], (480 ^ _208988) ^ [] : [-(leq(475 ^ [_226066, _226068], _226066))]], 487 ^ _208988 : [(488 ^ _208988) ^ [_226879, _226881, _226883, _226885] : [-(a_select3(tptp_update3(_226068, _226881, _226881, _226879), _226885, _226883) = a_select3(tptp_update3(_226068, _226881, _226881, _226879), _226883, _226885)), leq(n0, _226885), leq(_226885, _226066), leq(n0, _226883), leq(_226883, _226066), leq(n0, _226881), leq(_226881, _226066)]]], (752 ^ _208988) ^ [_239458] : [-(plus(_239458, n5) = succ(succ(succ(succ(succ(_239458))))))], (921 ^ _208988) ^ [] : [-(gt(n3, n1))], (1007 ^ _208988) ^ [_247896] : [leq(n0, _247896), leq(_247896, n1), -(_247896 = n0), -(_247896 = n1)], (316 ^ _208988) ^ [_220156, _220158] : [leq(_220156, _220158), -(geq(_220158, _220156))], (48 ^ _208988) ^ [_210672, _210674, _210676, _210678] : [-(geq(_210676, _210672)), geq(_210678, _210674), _210678 = _210676, _210674 = _210672], (871 ^ _208988) ^ [] : [-(gt(n330, n4))], (298 ^ _208988) ^ [_219591, _219593] : [lt(_219593, _219591), -(gt(_219591, _219593))], (905 ^ _208988) ^ [] : [-(gt(n1, n0))], (1067 ^ _208988) ^ [] : [-(succ(succ(n0)) = n2)], (638 ^ _208988) ^ [_233320, _233322, _233324, _233326] : [641 ^ _208988 : [(648 ^ _208988) ^ [] : [-(leq(640 ^ [_233320, _233322, _233324, _233326], _233320))], (642 ^ _208988) ^ [] : [-(leq(n0, 639 ^ [_233320, _233322, _233324, _233326]))], (646 ^ _208988) ^ [] : [-(leq(n0, 640 ^ [_233320, _233322, _233324, _233326]))], (650 ^ _208988) ^ [] : [a_select3(_233324, 639 ^ [_233320, _233322, _233324, _233326], 640 ^ [_233320, _233322, _233324, _233326]) = a_select3(_233324, 640 ^ [_233320, _233322, _233324, _233326], 639 ^ [_233320, _233322, _233324, _233326])], (644 ^ _208988) ^ [] : [-(leq(639 ^ [_233320, _233322, _233324, _233326], _233320))]], 651 ^ _208988 : [(652 ^ _208988) ^ [_234177, _234179] : [-(a_select3(tptp_mmul(_233326, tptp_mmul(_233324, trans(_233326))), _234179, _234177) = a_select3(tptp_mmul(_233326, tptp_mmul(_233324, trans(_233326))), _234177, _234179)), leq(n0, _234179), leq(_234179, _233322), leq(n0, _234177), leq(_234177, _233322)]]]], input).
% 283.63/273.90  ncf('1',plain,[gt(n0, n0)],start(284 ^ 0,bind([[_219054], [n0]]))).
% 283.63/273.90  ncf('1.1',plain,[-(gt(n0, n0)), leq(n0, pred(n0))],extension(338 ^ 1,bind([[_220909, _220911], [n0, n0]]))).
% 283.63/273.90  ncf('1.1.1',plain,[-(leq(n0, pred(n0))), leq(n0, minus(n0, n1)), n0 = n0, minus(n0, n1) = pred(n0)],extension(62 ^ 2,bind([[_211096, _211098, _211100, _211102], [pred(n0), minus(n0, n1), n0, n0]]))).
% 283.63/273.90  ncf('1.1.1.1',plain,[-(leq(n0, minus(n0, n1))), leq(n0, 1079 ^ []), leq(1079 ^ [], minus(n0, n1))],extension(288 ^ 3,bind([[_219253, _219255, _219257], [minus(n0, n1), 1079 ^ [], n0]]))).
% 283.63/273.90  ncf('1.1.1.1.1',plain,[-(leq(n0, 1079 ^ []))],extension(1081 ^ 4)).
% 283.63/273.90  ncf('1.1.1.1.2',plain,[-(leq(1079 ^ [], minus(n0, n1)))],extension(1083 ^ 4)).
% 283.63/273.90  ncf('1.1.1.2',plain,[-(n0 = n0), -(gt(n0, n0)), -(gt(n0, n0))],extension(264 ^ 3,bind([[_218460, _218462], [n0, n0]]))).
% 283.63/273.90  ncf('1.1.1.2.1',plain,[gt(n0, n0)],reduction('1')).
% 283.63/273.90  ncf('1.1.1.2.2',plain,[gt(n0, n0)],lemmata('[1, 1, 1].x')).
% 283.63/273.90  ncf('1.1.1.3',plain,[-(minus(n0, n1) = pred(n0))],extension(756 ^ 3,bind([[_239640], [n0]]))).
% 283.63/273.90  %-----------------------------------------------------
% 283.63/273.90  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------