%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV143+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 12:20:03 EDT 2023

% Result   : Theorem 46.15s 44.78s
% Output   : Proof 46.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV143+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 03:04:43 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 46.15/44.78  
% 46.15/44.78  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 46.15/44.78  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.15/44.78  %-----------------------------------------------------
% 46.15/44.78  ncf(matrix, plain, [(1043 ^ _259072) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259072) ^ [] : [leq(s_sworst7, n3)], (1105 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259072) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259072) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219274) ^ [_222564, _222566, _222568, _222570, _222572, _222574] : [-(tptp_const_array2(_222574, _222570, _222566) = tptp_const_array2(_222572, _222568, _222564)), _222574 = _222572, _222570 = _222568, _222566 = _222564], (734 ^ _219274) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219274) ^ [_233129, _233131, _233133, _233135, _233137, _233139, _233141] : [-(a_select3(tptp_const_array2(dim(_233139, _233137), dim(_233133, _233131), _233129), _233141, _233135) = _233129), leq(_233139, _233141), leq(_233141, _233137), leq(_233133, _233135), leq(_233135, _233131)], (86 ^ _219274) ^ [_222177, _222179, _222181, _222183] : [-(tptp_const_array1(_222183, _222179) = tptp_const_array1(_222181, _222177)), _222183 = _222181, _222179 = _222177], (1039 ^ _219274) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219274) ^ [_226017, _226019, _226021, _226023] : [-(minus(_226023, _226019) = minus(_226021, _226017)), _226023 = _226021, _226019 = _226017], (146 ^ _219274) ^ [_224347, _224349, _224351, _224353] : [-(tptp_mmul(_224353, _224349) = tptp_mmul(_224351, _224347)), _224353 = _224351, _224349 = _224347], (893 ^ _219274) ^ [] : [-(gt(n4, n1))], (889 ^ _219274) ^ [] : [-(gt(n2, n0))], (288 ^ _219274) ^ [_229519, _229521, _229523] : [-(leq(_229523, _229519)), leq(_229523, _229521), leq(_229521, _229519)], (474 ^ _219274) ^ [_236332, _236334] : [477 ^ _219274 : [(478 ^ _219274) ^ [] : [-(leq(n0, 475 ^ [_236332, _236334]))], (482 ^ _219274) ^ [] : [-(leq(n0, 476 ^ [_236332, _236334]))], (486 ^ _219274) ^ [] : [a_select3(_236334, 475 ^ [_236332, _236334], 476 ^ [_236332, _236334]) = a_select3(_236334, 476 ^ [_236332, _236334], 475 ^ [_236332, _236334])], (484 ^ _219274) ^ [] : [-(leq(476 ^ [_236332, _236334], _236332))], (480 ^ _219274) ^ [] : [-(leq(475 ^ [_236332, _236334], _236332))]], 487 ^ _219274 : [(488 ^ _219274) ^ [_237145, _237147, _237149, _237151] : [-(a_select3(tptp_update3(_236334, _237147, _237147, _237145), _237151, _237149) = a_select3(tptp_update3(_236334, _237147, _237147, _237145), _237149, _237151)), leq(n0, _237151), leq(_237151, _236332), leq(n0, _237149), leq(_237149, _236332), leq(n0, _237147), leq(_237147, _236332)]]], (370 ^ _219274) ^ [_232262, _232264] : [leq(n0, _232264), -(leq(uniform_int_rnd(_232262, _232264), _232264))], (76 ^ _219274) ^ [_221818, _221820, _221822, _221824] : [-(uniform_int_rnd(_221824, _221820) = uniform_int_rnd(_221822, _221818)), _221824 = _221822, _221820 = _221818], (186 ^ _219274) ^ [_225771, _225773] : [_225773 = _225771, -(pred(_225773) = pred(_225771))], (316 ^ _219274) ^ [_230422, _230424] : [leq(_230422, _230424), -(geq(_230424, _230422))], (905 ^ _219274) ^ [] : [-(gt(n3, n2))], (732 ^ _219274) ^ [_248901] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248901))], (258 ^ _219274) ^ [_228408, _228410] : [_228410 = _228408, -(succ(_228410) = succ(_228408))], (991 ^ _219274) ^ [_257730] : [leq(n0, _257730), leq(_257730, n2), -(_257730 = n0), -(_257730 = n1), -(_257730 = n2)], (350 ^ _219274) ^ [_231528] : [-(gt(succ(_231528), _231528))], (742 ^ _219274) ^ [_249287] : [-(plus(n2, _249287) = succ(succ(_249287)))], (977 ^ _219274) ^ [_257367] : [leq(n0, _257367), leq(_257367, n1), -(_257367 = n0), -(_257367 = n1)], (286 ^ _219274) ^ [_229398] : [-(leq(_229398, _229398))], (344 ^ _219274) ^ [_231341, _231343] : [gt(_231341, _231343), -(leq(_231343, pred(_231341)))], (2 ^ _219274) ^ [_219398] : [-(_219398 = _219398)], (10 ^ _219274) ^ [_219709, _219711, _219713] : [-(_219713 = _219709), _219713 = _219711, _219711 = _219709], (1035 ^ _219274) ^ [] : [-(succ(n0) = n1)], (877 ^ _219274) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219274) ^ [_243586, _243588, _243590, _243592] : [641 ^ _219274 : [(642 ^ _219274) ^ [] : [-(leq(n0, 639 ^ [_243586, _243588, _243590, _243592]))], (646 ^ _219274) ^ [] : [-(leq(n0, 640 ^ [_243586, _243588, _243590, _243592]))], (650 ^ _219274) ^ [] : [a_select3(_243590, 639 ^ [_243586, _243588, _243590, _243592], 640 ^ [_243586, _243588, _243590, _243592]) = a_select3(_243590, 640 ^ [_243586, _243588, _243590, _243592], 639 ^ [_243586, _243588, _243590, _243592])], (648 ^ _219274) ^ [] : [-(leq(640 ^ [_243586, _243588, _243590, _243592], _243586))], (644 ^ _219274) ^ [] : [-(leq(639 ^ [_243586, _243588, _243590, _243592], _243586))]], 651 ^ _219274 : [(652 ^ _219274) ^ [_244443, _244445] : [-(a_select3(tptp_mmul(_243592, tptp_mmul(_243590, trans(_243592))), _244445, _244443) = a_select3(tptp_mmul(_243592, tptp_mmul(_243590, trans(_243592))), _244443, _244445)), leq(n0, _244445), leq(_244445, _243588), leq(n0, _244443), leq(_244443, _243588)]]], (670 ^ _219274) ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152] : [675 ^ _219274 : [(676 ^ _219274) ^ [] : [-(leq(n0, 673 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (680 ^ _219274) ^ [] : [-(leq(n0, 674 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (684 ^ _219274) ^ [] : [a_select3(_245146, 673 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 674 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]) = a_select3(_245146, 674 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 673 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152])], (682 ^ _219274) ^ [] : [-(leq(674 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245138))], (678 ^ _219274) ^ [] : [-(leq(673 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245138))]], 689 ^ _219274 : [(690 ^ _219274) ^ [] : [-(leq(n0, 687 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (694 ^ _219274) ^ [] : [-(leq(n0, 688 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (698 ^ _219274) ^ [] : [a_select3(_245152, 687 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 688 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]) = a_select3(_245152, 688 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 687 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152])], (696 ^ _219274) ^ [] : [-(leq(688 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245140))], (692 ^ _219274) ^ [] : [-(leq(687 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245140))]], 701 ^ _219274 : [(702 ^ _219274) ^ [] : [-(leq(n0, 699 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (706 ^ _219274) ^ [] : [-(leq(n0, 700 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]))], (710 ^ _219274) ^ [] : [a_select3(_245142, 699 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 700 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152]) = a_select3(_245142, 700 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], 699 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152])], (708 ^ _219274) ^ [] : [-(leq(700 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245140))], (704 ^ _219274) ^ [] : [-(leq(699 ^ [_245138, _245140, _245142, _245144, _245146, _245148, _245150, _245152], _245140))]], 711 ^ _219274 : [(712 ^ _219274) ^ [_248066, _248068] : [-(a_select3(tptp_madd(_245152, tptp_mmul(_245150, tptp_mmul(tptp_madd(tptp_mmul(_245148, tptp_mmul(_245146, trans(_245148))), tptp_mmul(_245144, tptp_mmul(_245142, trans(_245144)))), trans(_245150)))), _248068, _248066) = a_select3(tptp_madd(_245152, tptp_mmul(_245150, tptp_mmul(tptp_madd(tptp_mmul(_245148, tptp_mmul(_245146, trans(_245148))), tptp_mmul(_245144, tptp_mmul(_245142, trans(_245144)))), trans(_245150)))), _248066, _248068)), leq(n0, _248068), leq(_248068, _245140), leq(n0, _248066), leq(_248066, _245140)]]], (873 ^ _219274) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219274) ^ [_242154, _242156, _242158] : [609 ^ _219274 : [(610 ^ _219274) ^ [] : [-(leq(n0, 607 ^ [_242154, _242156, _242158]))], (614 ^ _219274) ^ [] : [-(leq(n0, 608 ^ [_242154, _242156, _242158]))], (618 ^ _219274) ^ [] : [a_select3(_242156, 607 ^ [_242154, _242156, _242158], 608 ^ [_242154, _242156, _242158]) = a_select3(_242156, 608 ^ [_242154, _242156, _242158], 607 ^ [_242154, _242156, _242158])], (616 ^ _219274) ^ [] : [-(leq(608 ^ [_242154, _242156, _242158], _242154))], (612 ^ _219274) ^ [] : [-(leq(607 ^ [_242154, _242156, _242158], _242154))]], 619 ^ _219274 : [(620 ^ _219274) ^ [_242967, _242969] : [-(a_select3(tptp_mmul(_242158, tptp_mmul(_242156, trans(_242158))), _242969, _242967) = a_select3(tptp_mmul(_242158, tptp_mmul(_242156, trans(_242158))), _242967, _242969)), leq(n0, _242969), leq(_242969, _242154), leq(n0, _242967), leq(_242967, _242154)]]], (756 ^ _219274) ^ [_249906] : [-(minus(_249906, n1) = pred(_249906))], (244 ^ _219274) ^ [_227968, _227970, _227972, _227974, _227976, _227978] : [-(tptp_update2(_227978, _227974, _227970) = tptp_update2(_227976, _227972, _227968)), _227978 = _227976, _227974 = _227972, _227970 = _227968], (891 ^ _219274) ^ [] : [-(gt(n3, n0))], (264 ^ _219274) ^ [_228726, _228728] : [-(gt(_228728, _228726)), -(gt(_228726, _228728)), -(_228728 = _228726)], (869 ^ _219274) ^ [] : [-(gt(n5, n4))], (156 ^ _219274) ^ [_224678, _224680] : [_224680 = _224678, -(trans(_224680) = trans(_224678))], (382 ^ _219274) ^ [_232722, _232724, _232726, _232728] : [-(a_select2(tptp_const_array1(dim(_232726, _232724), _232722), _232728) = _232722), leq(_232726, _232728), leq(_232728, _232724)], (865 ^ _219274) ^ [] : [-(true)], (364 ^ _219274) ^ [_232046, _232048] : [gt(succ(_232046), _232048), -(leq(_232048, _232046))], (883 ^ _219274) ^ [] : [-(gt(n4, n0))], (911 ^ _219274) ^ [_255764] : [leq(n0, _255764), leq(_255764, n4), -(_255764 = n0), -(_255764 = n1), -(_255764 = n2), -(_255764 = n3), -(_255764 = n4)], (352 ^ _219274) ^ [_231637, _231639] : [leq(_231639, _231637), -(leq(_231639, succ(_231637)))], (274 ^ _219274) ^ [_229041, _229043, _229045] : [-(gt(_229045, _229041)), gt(_229045, _229043), gt(_229043, _229041)], (20 ^ _219274) ^ [_220050, _220052, _220054, _220056] : [-(lt(_220054, _220050)), lt(_220056, _220052), _220056 = _220054, _220052 = _220050], (937 ^ _219274) ^ [_256385] : [leq(n0, _256385), leq(_256385, n5), -(_256385 = n0), -(_256385 = n1), -(_256385 = n2), -(_256385 = n3), -(_256385 = n4), -(_256385 = n5)], (1009 ^ _219274) ^ [_258179] : [leq(n0, _258179), leq(_258179, n3), -(_258179 = n0), -(_258179 = n1), -(_258179 = n2), -(_258179 = n3)], (162 ^ _219274) ^ [_224952, _224954, _224956, _224958, _224960, _224962] : [-(sum(_224962, _224958, _224954) = sum(_224960, _224956, _224952)), _224962 = _224960, _224958 = _224956, _224954 = _224952], (788 ^ _219274) ^ [_251236, _251238, _251240, _251242, _251244, _251246, _251248] : [-(a_select3(tptp_update3(_251240, _251248, _251246, _251236), _251244, _251242) = _251238), -(_251248 = _251244), _251246 = _251242, a_select3(_251240, _251244, _251242) = _251238], (298 ^ _219274) ^ [_229857, _229859] : [lt(_229859, _229857), -(gt(_229857, _229859))], (885 ^ _219274) ^ [] : [-(gt(n5, n0))], (34 ^ _219274) ^ [_220494, _220496, _220498, _220500] : [-(geq(_220498, _220494)), geq(_220500, _220496), _220500 = _220498, _220496 = _220494], (328 ^ _219274) ^ [_230844, _230846] : [-(gt(_230844, _230846)), leq(_230846, _230844), -(_230846 = _230844)], (740 ^ _219274) ^ [_249202] : [-(plus(_249202, n2) = succ(succ(_249202)))], (786 ^ _219274) ^ [_251044, _251046, _251048, _251050] : [-(a_select3(tptp_update3(_251050, _251048, _251046, _251044), _251048, _251046) = _251044)], (846 ^ _219274) ^ [_253661, _253663, _253665, _253667] : [-(a_select2(tptp_update2(_253663, _253665, _253661), _253667) = _253661), 850 ^ _219274 : [(855 ^ _219274) ^ [] : [a_select2(_253663, 849 ^ [_253661, _253663, _253665, _253667]) = _253661], (853 ^ _219274) ^ [] : [-(leq(849 ^ [_253661, _253663, _253665, _253667], _253665))], (851 ^ _219274) ^ [] : [-(leq(n0, 849 ^ [_253661, _253663, _253665, _253667]))]], leq(n0, _253667), leq(_253667, _253665)], (48 ^ _219274) ^ [_220938, _220940, _220942, _220944] : [-(gt(_220942, _220938)), gt(_220944, _220940), _220944 = _220942, _220940 = _220938], (284 ^ _219274) ^ [_229320] : [gt(_229320, _229320)], (752 ^ _219274) ^ [_249724] : [-(plus(_249724, n5) = succ(succ(succ(succ(succ(_249724))))))], (887 ^ _219274) ^ [] : [-(gt(n1, n0))], (758 ^ _219274) ^ [_249989] : [-(pred(succ(_249989)) = _249989)], (760 ^ _219274) ^ [_250071] : [-(succ(pred(_250071)) = _250071)], (1033 ^ _219274) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219274) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219274) ^ [_232478, _232480] : [leq(n0, _232480), -(leq(n0, uniform_int_rnd(_232478, _232480)))], (746 ^ _219274) ^ [_249459] : [-(plus(n3, _249459) = succ(succ(succ(_249459))))], (310 ^ _219274) ^ [_230260, _230262] : [geq(_230262, _230260), -(leq(_230260, _230262))], (338 ^ _219274) ^ [_231175, _231177] : [leq(_231177, pred(_231175)), -(gt(_231175, _231177))], (901 ^ _219274) ^ [] : [-(gt(n4, n2))], (62 ^ _219274) ^ [_221362, _221364, _221366, _221368] : [-(leq(_221366, _221362)), leq(_221368, _221364), _221368 = _221366, _221364 = _221362], (410 ^ _219274) ^ [_233724, _233726] : [413 ^ _219274 : [(414 ^ _219274) ^ [] : [-(leq(n0, 411 ^ [_233724, _233726]))], (418 ^ _219274) ^ [] : [-(leq(n0, 412 ^ [_233724, _233726]))], (422 ^ _219274) ^ [] : [a_select3(_233726, 411 ^ [_233724, _233726], 412 ^ [_233724, _233726]) = a_select3(_233726, 412 ^ [_233724, _233726], 411 ^ [_233724, _233726])], (420 ^ _219274) ^ [] : [-(leq(412 ^ [_233724, _233726], _233724))], (416 ^ _219274) ^ [] : [-(leq(411 ^ [_233724, _233726], _233724))]], 423 ^ _219274 : [(424 ^ _219274) ^ [_234481, _234483] : [-(a_select3(trans(_233726), _234483, _234481) = a_select3(trans(_233726), _234481, _234483)), leq(n0, _234483), leq(_234483, _233724), leq(n0, _234481), leq(_234481, _233724)]]], (202 ^ _219274) ^ [_226404, _226406, _226408, _226410, _226412, _226414] : [-(a_select3(_226414, _226410, _226406) = a_select3(_226412, _226408, _226404)), _226414 = _226412, _226410 = _226408, _226406 = _226404], (176 ^ _219274) ^ [_225440, _225442, _225444, _225446] : [-(plus(_225446, _225442) = plus(_225444, _225440)), _225446 = _225444, _225442 = _225440], (768 ^ _219274) ^ [_250381, _250383] : [leq(_250383, _250381), -(leq(succ(_250383), succ(_250381)))], (1031 ^ _219274) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219274) ^ [_248819] : [-(sum(n0, tptp_minus_1, _248819) = n0)], (560 ^ _219274) ^ [_240059, _240061, _240063] : [565 ^ _219274 : [(566 ^ _219274) ^ [] : [-(leq(n0, 563 ^ [_240059, _240061, _240063]))], (570 ^ _219274) ^ [] : [-(leq(n0, 564 ^ [_240059, _240061, _240063]))], (574 ^ _219274) ^ [] : [a_select3(_240063, 563 ^ [_240059, _240061, _240063], 564 ^ [_240059, _240061, _240063]) = a_select3(_240063, 564 ^ [_240059, _240061, _240063], 563 ^ [_240059, _240061, _240063])], (572 ^ _219274) ^ [] : [-(leq(564 ^ [_240059, _240061, _240063], _240059))], (568 ^ _219274) ^ [] : [-(leq(563 ^ [_240059, _240061, _240063], _240059))]], 577 ^ _219274 : [(578 ^ _219274) ^ [] : [-(leq(n0, 575 ^ [_240059, _240061, _240063]))], (582 ^ _219274) ^ [] : [-(leq(n0, 576 ^ [_240059, _240061, _240063]))], (586 ^ _219274) ^ [] : [a_select3(_240061, 575 ^ [_240059, _240061, _240063], 576 ^ [_240059, _240061, _240063]) = a_select3(_240061, 576 ^ [_240059, _240061, _240063], 575 ^ [_240059, _240061, _240063])], (584 ^ _219274) ^ [] : [-(leq(576 ^ [_240059, _240061, _240063], _240059))], (580 ^ _219274) ^ [] : [-(leq(575 ^ [_240059, _240061, _240063], _240059))]], 587 ^ _219274 : [(588 ^ _219274) ^ [_241568, _241570] : [-(a_select3(tptp_msub(_240063, _240061), _241570, _241568) = a_select3(tptp_msub(_240063, _240061), _241568, _241570)), leq(n0, _241570), leq(_241570, _240059), leq(n0, _241568), leq(_241568, _240059)]]], (967 ^ _219274) ^ [_257092] : [-(_257092 = n0), leq(n0, _257092), leq(_257092, n0)], (110 ^ _219274) ^ [_223052, _223054, _223056, _223058] : [-(dim(_223058, _223054) = dim(_223056, _223052)), _223058 = _223056, _223054 = _223052], (442 ^ _219274) ^ [_235028, _235030] : [445 ^ _219274 : [(446 ^ _219274) ^ [] : [-(leq(n0, 443 ^ [_235028, _235030]))], (450 ^ _219274) ^ [] : [-(leq(n0, 444 ^ [_235028, _235030]))], (454 ^ _219274) ^ [] : [a_select3(_235030, 443 ^ [_235028, _235030], 444 ^ [_235028, _235030]) = a_select3(_235030, 444 ^ [_235028, _235030], 443 ^ [_235028, _235030])], (452 ^ _219274) ^ [] : [-(leq(444 ^ [_235028, _235030], _235028))], (448 ^ _219274) ^ [] : [-(leq(443 ^ [_235028, _235030], _235028))]], 455 ^ _219274 : [(456 ^ _219274) ^ [_235785, _235787] : [-(a_select3(inv(_235030), _235787, _235785) = a_select3(inv(_235030), _235785, _235787)), leq(n0, _235787), leq(_235787, _235028), leq(n0, _235785), leq(_235785, _235028)]]], (1037 ^ _219274) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219274) ^ [_223383, _223385] : [_223385 = _223383, -(inv(_223385) = inv(_223383))], (907 ^ _219274) ^ [] : [-(gt(n4, n3))], (358 ^ _219274) ^ [_231880, _231882] : [leq(_231882, _231880), -(gt(succ(_231880), _231882))], (836 ^ _219274) ^ [_253281, _253283, _253285, _253287, _253289] : [-(a_select2(tptp_update2(_253285, _253289, _253281), _253287) = _253283), -(_253289 = _253287), a_select2(_253285, _253287) = _253283], (879 ^ _219274) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219274) ^ [_249119] : [-(plus(n1, _249119) = succ(_249119))], (867 ^ _219274) ^ [] : [def = use], (4 ^ _219274) ^ [_219505, _219507] : [_219507 = _219505, -(_219505 = _219507)], (895 ^ _219274) ^ [] : [-(gt(n5, n1))], (909 ^ _219274) ^ [] : [-(gt(n5, n3))], (750 ^ _219274) ^ [_249635] : [-(plus(n4, _249635) = succ(succ(succ(succ(_249635)))))], (322 ^ _219274) ^ [_230634, _230636] : [gt(_230634, _230636), -(leq(_230636, _230634))], (875 ^ _219274) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219274) ^ [_251779, _251781, _251783, _251785, _251787, _251789] : [-(a_select3(tptp_update3(_251781, _251785, _251783, _251779), _251789, _251787) = _251779), 807 ^ _219274 : [(808 ^ _219274) ^ [] : [-(leq(n0, 805 ^ [_251779, _251781, _251783, _251785, _251787, _251789]))], (812 ^ _219274) ^ [] : [-(leq(805 ^ [_251779, _251781, _251783, _251785, _251787, _251789], _251785))], (816 ^ _219274) ^ [] : [a_select3(_251781, 805 ^ [_251779, _251781, _251783, _251785, _251787, _251789], 806 ^ [_251779, _251781, _251783, _251785, _251787, _251789]) = _251779], (814 ^ _219274) ^ [] : [-(leq(806 ^ [_251779, _251781, _251783, _251785, _251787, _251789], _251783))], (810 ^ _219274) ^ [] : [-(leq(n0, 806 ^ [_251779, _251781, _251783, _251785, _251787, _251789]))]], leq(n0, _251789), leq(_251789, _251785), leq(n0, _251787), leq(_251787, _251783)], (234 ^ _219274) ^ [_227581, _227583, _227585, _227587] : [-(a_select2(_227587, _227583) = a_select2(_227585, _227581)), _227587 = _227585, _227583 = _227581], (774 ^ _219274) ^ [_250601, _250603] : [leq(succ(_250603), _250601), -(gt(_250601, _250603))], (897 ^ _219274) ^ [] : [-(gt(n2, n1))], (881 ^ _219274) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219274) ^ [_226948, _226950, _226952, _226954, _226956, _226958, _226960, _226962] : [-(tptp_update3(_226962, _226958, _226954, _226950) = tptp_update3(_226960, _226956, _226952, _226948)), _226962 = _226960, _226958 = _226956, _226954 = _226952, _226950 = _226948], (304 ^ _219274) ^ [_230019, _230021] : [gt(_230019, _230021), -(lt(_230021, _230019))], (762 ^ _219274) ^ [_250211, _250213] : [leq(succ(_250213), succ(_250211)), -(leq(_250213, _250211))], (514 ^ _219274) ^ [_237964, _237966, _237968] : [519 ^ _219274 : [(520 ^ _219274) ^ [] : [-(leq(n0, 517 ^ [_237964, _237966, _237968]))], (524 ^ _219274) ^ [] : [-(leq(n0, 518 ^ [_237964, _237966, _237968]))], (528 ^ _219274) ^ [] : [a_select3(_237968, 517 ^ [_237964, _237966, _237968], 518 ^ [_237964, _237966, _237968]) = a_select3(_237968, 518 ^ [_237964, _237966, _237968], 517 ^ [_237964, _237966, _237968])], (526 ^ _219274) ^ [] : [-(leq(518 ^ [_237964, _237966, _237968], _237964))], (522 ^ _219274) ^ [] : [-(leq(517 ^ [_237964, _237966, _237968], _237964))]], 531 ^ _219274 : [(532 ^ _219274) ^ [] : [-(leq(n0, 529 ^ [_237964, _237966, _237968]))], (536 ^ _219274) ^ [] : [-(leq(n0, 530 ^ [_237964, _237966, _237968]))], (540 ^ _219274) ^ [] : [a_select3(_237966, 529 ^ [_237964, _237966, _237968], 530 ^ [_237964, _237966, _237968]) = a_select3(_237966, 530 ^ [_237964, _237966, _237968], 529 ^ [_237964, _237966, _237968])], (538 ^ _219274) ^ [] : [-(leq(530 ^ [_237964, _237966, _237968], _237964))], (534 ^ _219274) ^ [] : [-(leq(529 ^ [_237964, _237966, _237968], _237964))]], 541 ^ _219274 : [(542 ^ _219274) ^ [_239473, _239475] : [-(a_select3(tptp_madd(_237968, _237966), _239475, _239473) = a_select3(tptp_madd(_237968, _237966), _239473, _239475)), leq(n0, _239475), leq(_239475, _237964), leq(n0, _239473), leq(_239473, _237964)]]], (136 ^ _219274) ^ [_223988, _223990, _223992, _223994] : [-(tptp_madd(_223994, _223990) = tptp_madd(_223992, _223988)), _223994 = _223992, _223990 = _223988], (899 ^ _219274) ^ [] : [-(gt(n3, n1))], (780 ^ _219274) ^ [_250815, _250817] : [leq(minus(_250817, _250815), _250817), -(leq(n0, _250815))], (748 ^ _219274) ^ [_249546] : [-(plus(_249546, n4) = succ(succ(succ(succ(_249546)))))], (126 ^ _219274) ^ [_223629, _223631, _223633, _223635] : [-(tptp_msub(_223635, _223631) = tptp_msub(_223633, _223629)), _223635 = _223633, _223631 = _223629], (903 ^ _219274) ^ [] : [-(gt(n5, n2))], (834 ^ _219274) ^ [_253121, _253123, _253125] : [-(a_select2(tptp_update2(_253125, _253123, _253121), _253123) = _253121)], (744 ^ _219274) ^ [_249372] : [-(plus(_249372, n3) = succ(succ(succ(_249372))))], (736 ^ _219274) ^ [_249036] : [-(plus(_249036, n1) = succ(_249036))], (754 ^ _219274) ^ [_249815] : [-(plus(n5, _249815) = succ(succ(succ(succ(succ(_249815))))))]], input).
% 46.15/44.78  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 46.15/44.78  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230844, _230846], [loopcounter, n1]]))).
% 46.15/44.78  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229041, _229043, _229045], [n0, n1, loopcounter]]))).
% 46.15/44.78  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(s_sworst7, n3))],extension(1105 ^ 3)).
% 46.15/44.78  ncf('1.1.1.1.1',plain,[leq(s_sworst7, n3)],extension(1117 ^ 4)).
% 46.15/44.78  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 46.15/44.78  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221362, _221364, _221366, _221368], [loopcounter, n1, succ(n0), n1]]))).
% 46.15/44.78  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250601, _250603], [loopcounter, n0]]))).
% 46.15/44.78  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(s_sworst7, n3))],extension(1105 ^ 4)).
% 46.15/44.78  ncf('1.1.2.1.1.1',plain,[leq(s_sworst7, n3)],extension(1117 ^ 5)).
% 46.15/44.78  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229398], [n1]]))).
% 46.15/44.78  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219505, _219507], [n1, succ(n0)]]))).
% 46.15/44.78  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 46.15/44.78  %-----------------------------------------------------
% 46.15/44.78  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------