%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV144+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 46.55s 45.98s
% Output   : Proof 46.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV144+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 03:01:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 46.55/45.98  
% 46.55/45.98  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 46.55/45.98  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.55/45.98  %-----------------------------------------------------
% 46.55/45.98  ncf(matrix, plain, [(1043 ^ _259096) ^ [] : [-(leq(n1, loopcounter))], (1117 ^ _259096) ^ [] : [leq(s_worst7, n3)], (1105 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(s_sworst7, n3))], (1069 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_sworst7, n3))], (1051 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_sworst7))], (1111 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(s_worst7, n3))], (1081 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_best7))], (1087 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_sworst7))], (1063 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_best7, n3))], (1093 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(n0, s_worst7))], (1041 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341))], (1057 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_worst7))], (1099 ^ _259096) ^ [] : [gt(loopcounter, n0), -(leq(s_best7, n3))], (1075 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(s_worst7, n3))], (1045 ^ _259096) ^ [] : [-(leq(tptp_float_0_001, pv1341)), -(leq(n0, s_best7))], !, (96 ^ _219298) ^ [_222588, _222590, _222592, _222594, _222596, _222598] : [-(tptp_const_array2(_222598, _222594, _222590) = tptp_const_array2(_222596, _222592, _222588)), _222598 = _222596, _222594 = _222592, _222590 = _222588], (734 ^ _219298) ^ [] : [-(succ(tptp_minus_1) = n0)], (392 ^ _219298) ^ [_233153, _233155, _233157, _233159, _233161, _233163, _233165] : [-(a_select3(tptp_const_array2(dim(_233163, _233161), dim(_233157, _233155), _233153), _233165, _233159) = _233153), leq(_233163, _233165), leq(_233165, _233161), leq(_233157, _233159), leq(_233159, _233155)], (86 ^ _219298) ^ [_222201, _222203, _222205, _222207] : [-(tptp_const_array1(_222207, _222203) = tptp_const_array1(_222205, _222201)), _222207 = _222205, _222203 = _222201], (1039 ^ _219298) ^ [] : [-(succ(succ(succ(n0))) = n3)], (192 ^ _219298) ^ [_226041, _226043, _226045, _226047] : [-(minus(_226047, _226043) = minus(_226045, _226041)), _226047 = _226045, _226043 = _226041], (146 ^ _219298) ^ [_224371, _224373, _224375, _224377] : [-(tptp_mmul(_224377, _224373) = tptp_mmul(_224375, _224371)), _224377 = _224375, _224373 = _224371], (893 ^ _219298) ^ [] : [-(gt(n4, n1))], (889 ^ _219298) ^ [] : [-(gt(n2, n0))], (288 ^ _219298) ^ [_229543, _229545, _229547] : [-(leq(_229547, _229543)), leq(_229547, _229545), leq(_229545, _229543)], (474 ^ _219298) ^ [_236356, _236358] : [477 ^ _219298 : [(478 ^ _219298) ^ [] : [-(leq(n0, 475 ^ [_236356, _236358]))], (482 ^ _219298) ^ [] : [-(leq(n0, 476 ^ [_236356, _236358]))], (486 ^ _219298) ^ [] : [a_select3(_236358, 475 ^ [_236356, _236358], 476 ^ [_236356, _236358]) = a_select3(_236358, 476 ^ [_236356, _236358], 475 ^ [_236356, _236358])], (484 ^ _219298) ^ [] : [-(leq(476 ^ [_236356, _236358], _236356))], (480 ^ _219298) ^ [] : [-(leq(475 ^ [_236356, _236358], _236356))]], 487 ^ _219298 : [(488 ^ _219298) ^ [_237169, _237171, _237173, _237175] : [-(a_select3(tptp_update3(_236358, _237171, _237171, _237169), _237175, _237173) = a_select3(tptp_update3(_236358, _237171, _237171, _237169), _237173, _237175)), leq(n0, _237175), leq(_237175, _236356), leq(n0, _237173), leq(_237173, _236356), leq(n0, _237171), leq(_237171, _236356)]]], (370 ^ _219298) ^ [_232286, _232288] : [leq(n0, _232288), -(leq(uniform_int_rnd(_232286, _232288), _232288))], (76 ^ _219298) ^ [_221842, _221844, _221846, _221848] : [-(uniform_int_rnd(_221848, _221844) = uniform_int_rnd(_221846, _221842)), _221848 = _221846, _221844 = _221842], (186 ^ _219298) ^ [_225795, _225797] : [_225797 = _225795, -(pred(_225797) = pred(_225795))], (316 ^ _219298) ^ [_230446, _230448] : [leq(_230446, _230448), -(geq(_230448, _230446))], (905 ^ _219298) ^ [] : [-(gt(n3, n2))], (732 ^ _219298) ^ [_248925] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _248925))], (258 ^ _219298) ^ [_228432, _228434] : [_228434 = _228432, -(succ(_228434) = succ(_228432))], (991 ^ _219298) ^ [_257754] : [leq(n0, _257754), leq(_257754, n2), -(_257754 = n0), -(_257754 = n1), -(_257754 = n2)], (350 ^ _219298) ^ [_231552] : [-(gt(succ(_231552), _231552))], (742 ^ _219298) ^ [_249311] : [-(plus(n2, _249311) = succ(succ(_249311)))], (977 ^ _219298) ^ [_257391] : [leq(n0, _257391), leq(_257391, n1), -(_257391 = n0), -(_257391 = n1)], (286 ^ _219298) ^ [_229422] : [-(leq(_229422, _229422))], (344 ^ _219298) ^ [_231365, _231367] : [gt(_231365, _231367), -(leq(_231367, pred(_231365)))], (2 ^ _219298) ^ [_219422] : [-(_219422 = _219422)], (10 ^ _219298) ^ [_219733, _219735, _219737] : [-(_219737 = _219733), _219737 = _219735, _219735 = _219733], (1035 ^ _219298) ^ [] : [-(succ(n0) = n1)], (877 ^ _219298) ^ [] : [-(gt(n1, tptp_minus_1))], (638 ^ _219298) ^ [_243610, _243612, _243614, _243616] : [641 ^ _219298 : [(642 ^ _219298) ^ [] : [-(leq(n0, 639 ^ [_243610, _243612, _243614, _243616]))], (646 ^ _219298) ^ [] : [-(leq(n0, 640 ^ [_243610, _243612, _243614, _243616]))], (650 ^ _219298) ^ [] : [a_select3(_243614, 639 ^ [_243610, _243612, _243614, _243616], 640 ^ [_243610, _243612, _243614, _243616]) = a_select3(_243614, 640 ^ [_243610, _243612, _243614, _243616], 639 ^ [_243610, _243612, _243614, _243616])], (648 ^ _219298) ^ [] : [-(leq(640 ^ [_243610, _243612, _243614, _243616], _243610))], (644 ^ _219298) ^ [] : [-(leq(639 ^ [_243610, _243612, _243614, _243616], _243610))]], 651 ^ _219298 : [(652 ^ _219298) ^ [_244467, _244469] : [-(a_select3(tptp_mmul(_243616, tptp_mmul(_243614, trans(_243616))), _244469, _244467) = a_select3(tptp_mmul(_243616, tptp_mmul(_243614, trans(_243616))), _244467, _244469)), leq(n0, _244469), leq(_244469, _243612), leq(n0, _244467), leq(_244467, _243612)]]], (670 ^ _219298) ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176] : [675 ^ _219298 : [(676 ^ _219298) ^ [] : [-(leq(n0, 673 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (680 ^ _219298) ^ [] : [-(leq(n0, 674 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (684 ^ _219298) ^ [] : [a_select3(_245170, 673 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 674 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]) = a_select3(_245170, 674 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 673 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176])], (682 ^ _219298) ^ [] : [-(leq(674 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245162))], (678 ^ _219298) ^ [] : [-(leq(673 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245162))]], 689 ^ _219298 : [(690 ^ _219298) ^ [] : [-(leq(n0, 687 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (694 ^ _219298) ^ [] : [-(leq(n0, 688 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (698 ^ _219298) ^ [] : [a_select3(_245176, 687 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 688 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]) = a_select3(_245176, 688 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 687 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176])], (696 ^ _219298) ^ [] : [-(leq(688 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245164))], (692 ^ _219298) ^ [] : [-(leq(687 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245164))]], 701 ^ _219298 : [(702 ^ _219298) ^ [] : [-(leq(n0, 699 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (706 ^ _219298) ^ [] : [-(leq(n0, 700 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]))], (710 ^ _219298) ^ [] : [a_select3(_245166, 699 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 700 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176]) = a_select3(_245166, 700 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], 699 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176])], (708 ^ _219298) ^ [] : [-(leq(700 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245164))], (704 ^ _219298) ^ [] : [-(leq(699 ^ [_245162, _245164, _245166, _245168, _245170, _245172, _245174, _245176], _245164))]], 711 ^ _219298 : [(712 ^ _219298) ^ [_248090, _248092] : [-(a_select3(tptp_madd(_245176, tptp_mmul(_245174, tptp_mmul(tptp_madd(tptp_mmul(_245172, tptp_mmul(_245170, trans(_245172))), tptp_mmul(_245168, tptp_mmul(_245166, trans(_245168)))), trans(_245174)))), _248092, _248090) = a_select3(tptp_madd(_245176, tptp_mmul(_245174, tptp_mmul(tptp_madd(tptp_mmul(_245172, tptp_mmul(_245170, trans(_245172))), tptp_mmul(_245168, tptp_mmul(_245166, trans(_245168)))), trans(_245174)))), _248090, _248092)), leq(n0, _248092), leq(_248092, _245164), leq(n0, _248090), leq(_248090, _245164)]]], (873 ^ _219298) ^ [] : [-(gt(n5, tptp_minus_1))], (606 ^ _219298) ^ [_242178, _242180, _242182] : [609 ^ _219298 : [(610 ^ _219298) ^ [] : [-(leq(n0, 607 ^ [_242178, _242180, _242182]))], (614 ^ _219298) ^ [] : [-(leq(n0, 608 ^ [_242178, _242180, _242182]))], (618 ^ _219298) ^ [] : [a_select3(_242180, 607 ^ [_242178, _242180, _242182], 608 ^ [_242178, _242180, _242182]) = a_select3(_242180, 608 ^ [_242178, _242180, _242182], 607 ^ [_242178, _242180, _242182])], (616 ^ _219298) ^ [] : [-(leq(608 ^ [_242178, _242180, _242182], _242178))], (612 ^ _219298) ^ [] : [-(leq(607 ^ [_242178, _242180, _242182], _242178))]], 619 ^ _219298 : [(620 ^ _219298) ^ [_242991, _242993] : [-(a_select3(tptp_mmul(_242182, tptp_mmul(_242180, trans(_242182))), _242993, _242991) = a_select3(tptp_mmul(_242182, tptp_mmul(_242180, trans(_242182))), _242991, _242993)), leq(n0, _242993), leq(_242993, _242178), leq(n0, _242991), leq(_242991, _242178)]]], (756 ^ _219298) ^ [_249930] : [-(minus(_249930, n1) = pred(_249930))], (244 ^ _219298) ^ [_227992, _227994, _227996, _227998, _228000, _228002] : [-(tptp_update2(_228002, _227998, _227994) = tptp_update2(_228000, _227996, _227992)), _228002 = _228000, _227998 = _227996, _227994 = _227992], (891 ^ _219298) ^ [] : [-(gt(n3, n0))], (264 ^ _219298) ^ [_228750, _228752] : [-(gt(_228752, _228750)), -(gt(_228750, _228752)), -(_228752 = _228750)], (869 ^ _219298) ^ [] : [-(gt(n5, n4))], (156 ^ _219298) ^ [_224702, _224704] : [_224704 = _224702, -(trans(_224704) = trans(_224702))], (382 ^ _219298) ^ [_232746, _232748, _232750, _232752] : [-(a_select2(tptp_const_array1(dim(_232750, _232748), _232746), _232752) = _232746), leq(_232750, _232752), leq(_232752, _232748)], (865 ^ _219298) ^ [] : [-(true)], (364 ^ _219298) ^ [_232070, _232072] : [gt(succ(_232070), _232072), -(leq(_232072, _232070))], (883 ^ _219298) ^ [] : [-(gt(n4, n0))], (911 ^ _219298) ^ [_255788] : [leq(n0, _255788), leq(_255788, n4), -(_255788 = n0), -(_255788 = n1), -(_255788 = n2), -(_255788 = n3), -(_255788 = n4)], (352 ^ _219298) ^ [_231661, _231663] : [leq(_231663, _231661), -(leq(_231663, succ(_231661)))], (274 ^ _219298) ^ [_229065, _229067, _229069] : [-(gt(_229069, _229065)), gt(_229069, _229067), gt(_229067, _229065)], (20 ^ _219298) ^ [_220074, _220076, _220078, _220080] : [-(lt(_220078, _220074)), lt(_220080, _220076), _220080 = _220078, _220076 = _220074], (937 ^ _219298) ^ [_256409] : [leq(n0, _256409), leq(_256409, n5), -(_256409 = n0), -(_256409 = n1), -(_256409 = n2), -(_256409 = n3), -(_256409 = n4), -(_256409 = n5)], (1009 ^ _219298) ^ [_258203] : [leq(n0, _258203), leq(_258203, n3), -(_258203 = n0), -(_258203 = n1), -(_258203 = n2), -(_258203 = n3)], (162 ^ _219298) ^ [_224976, _224978, _224980, _224982, _224984, _224986] : [-(sum(_224986, _224982, _224978) = sum(_224984, _224980, _224976)), _224986 = _224984, _224982 = _224980, _224978 = _224976], (788 ^ _219298) ^ [_251260, _251262, _251264, _251266, _251268, _251270, _251272] : [-(a_select3(tptp_update3(_251264, _251272, _251270, _251260), _251268, _251266) = _251262), -(_251272 = _251268), _251270 = _251266, a_select3(_251264, _251268, _251266) = _251262], (298 ^ _219298) ^ [_229881, _229883] : [lt(_229883, _229881), -(gt(_229881, _229883))], (885 ^ _219298) ^ [] : [-(gt(n5, n0))], (34 ^ _219298) ^ [_220518, _220520, _220522, _220524] : [-(geq(_220522, _220518)), geq(_220524, _220520), _220524 = _220522, _220520 = _220518], (328 ^ _219298) ^ [_230868, _230870] : [-(gt(_230868, _230870)), leq(_230870, _230868), -(_230870 = _230868)], (740 ^ _219298) ^ [_249226] : [-(plus(_249226, n2) = succ(succ(_249226)))], (786 ^ _219298) ^ [_251068, _251070, _251072, _251074] : [-(a_select3(tptp_update3(_251074, _251072, _251070, _251068), _251072, _251070) = _251068)], (846 ^ _219298) ^ [_253685, _253687, _253689, _253691] : [-(a_select2(tptp_update2(_253687, _253689, _253685), _253691) = _253685), 850 ^ _219298 : [(855 ^ _219298) ^ [] : [a_select2(_253687, 849 ^ [_253685, _253687, _253689, _253691]) = _253685], (853 ^ _219298) ^ [] : [-(leq(849 ^ [_253685, _253687, _253689, _253691], _253689))], (851 ^ _219298) ^ [] : [-(leq(n0, 849 ^ [_253685, _253687, _253689, _253691]))]], leq(n0, _253691), leq(_253691, _253689)], (48 ^ _219298) ^ [_220962, _220964, _220966, _220968] : [-(gt(_220966, _220962)), gt(_220968, _220964), _220968 = _220966, _220964 = _220962], (284 ^ _219298) ^ [_229344] : [gt(_229344, _229344)], (752 ^ _219298) ^ [_249748] : [-(plus(_249748, n5) = succ(succ(succ(succ(succ(_249748))))))], (887 ^ _219298) ^ [] : [-(gt(n1, n0))], (758 ^ _219298) ^ [_250013] : [-(pred(succ(_250013)) = _250013)], (760 ^ _219298) ^ [_250095] : [-(succ(pred(_250095)) = _250095)], (1033 ^ _219298) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (871 ^ _219298) ^ [] : [-(gt(n4, tptp_minus_1))], (376 ^ _219298) ^ [_232502, _232504] : [leq(n0, _232504), -(leq(n0, uniform_int_rnd(_232502, _232504)))], (746 ^ _219298) ^ [_249483] : [-(plus(n3, _249483) = succ(succ(succ(_249483))))], (310 ^ _219298) ^ [_230284, _230286] : [geq(_230286, _230284), -(leq(_230284, _230286))], (338 ^ _219298) ^ [_231199, _231201] : [leq(_231201, pred(_231199)), -(gt(_231199, _231201))], (901 ^ _219298) ^ [] : [-(gt(n4, n2))], (62 ^ _219298) ^ [_221386, _221388, _221390, _221392] : [-(leq(_221390, _221386)), leq(_221392, _221388), _221392 = _221390, _221388 = _221386], (410 ^ _219298) ^ [_233748, _233750] : [413 ^ _219298 : [(414 ^ _219298) ^ [] : [-(leq(n0, 411 ^ [_233748, _233750]))], (418 ^ _219298) ^ [] : [-(leq(n0, 412 ^ [_233748, _233750]))], (422 ^ _219298) ^ [] : [a_select3(_233750, 411 ^ [_233748, _233750], 412 ^ [_233748, _233750]) = a_select3(_233750, 412 ^ [_233748, _233750], 411 ^ [_233748, _233750])], (420 ^ _219298) ^ [] : [-(leq(412 ^ [_233748, _233750], _233748))], (416 ^ _219298) ^ [] : [-(leq(411 ^ [_233748, _233750], _233748))]], 423 ^ _219298 : [(424 ^ _219298) ^ [_234505, _234507] : [-(a_select3(trans(_233750), _234507, _234505) = a_select3(trans(_233750), _234505, _234507)), leq(n0, _234507), leq(_234507, _233748), leq(n0, _234505), leq(_234505, _233748)]]], (202 ^ _219298) ^ [_226428, _226430, _226432, _226434, _226436, _226438] : [-(a_select3(_226438, _226434, _226430) = a_select3(_226436, _226432, _226428)), _226438 = _226436, _226434 = _226432, _226430 = _226428], (176 ^ _219298) ^ [_225464, _225466, _225468, _225470] : [-(plus(_225470, _225466) = plus(_225468, _225464)), _225470 = _225468, _225466 = _225464], (768 ^ _219298) ^ [_250405, _250407] : [leq(_250407, _250405), -(leq(succ(_250407), succ(_250405)))], (1031 ^ _219298) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (730 ^ _219298) ^ [_248843] : [-(sum(n0, tptp_minus_1, _248843) = n0)], (560 ^ _219298) ^ [_240083, _240085, _240087] : [565 ^ _219298 : [(566 ^ _219298) ^ [] : [-(leq(n0, 563 ^ [_240083, _240085, _240087]))], (570 ^ _219298) ^ [] : [-(leq(n0, 564 ^ [_240083, _240085, _240087]))], (574 ^ _219298) ^ [] : [a_select3(_240087, 563 ^ [_240083, _240085, _240087], 564 ^ [_240083, _240085, _240087]) = a_select3(_240087, 564 ^ [_240083, _240085, _240087], 563 ^ [_240083, _240085, _240087])], (572 ^ _219298) ^ [] : [-(leq(564 ^ [_240083, _240085, _240087], _240083))], (568 ^ _219298) ^ [] : [-(leq(563 ^ [_240083, _240085, _240087], _240083))]], 577 ^ _219298 : [(578 ^ _219298) ^ [] : [-(leq(n0, 575 ^ [_240083, _240085, _240087]))], (582 ^ _219298) ^ [] : [-(leq(n0, 576 ^ [_240083, _240085, _240087]))], (586 ^ _219298) ^ [] : [a_select3(_240085, 575 ^ [_240083, _240085, _240087], 576 ^ [_240083, _240085, _240087]) = a_select3(_240085, 576 ^ [_240083, _240085, _240087], 575 ^ [_240083, _240085, _240087])], (584 ^ _219298) ^ [] : [-(leq(576 ^ [_240083, _240085, _240087], _240083))], (580 ^ _219298) ^ [] : [-(leq(575 ^ [_240083, _240085, _240087], _240083))]], 587 ^ _219298 : [(588 ^ _219298) ^ [_241592, _241594] : [-(a_select3(tptp_msub(_240087, _240085), _241594, _241592) = a_select3(tptp_msub(_240087, _240085), _241592, _241594)), leq(n0, _241594), leq(_241594, _240083), leq(n0, _241592), leq(_241592, _240083)]]], (967 ^ _219298) ^ [_257116] : [-(_257116 = n0), leq(n0, _257116), leq(_257116, n0)], (110 ^ _219298) ^ [_223076, _223078, _223080, _223082] : [-(dim(_223082, _223078) = dim(_223080, _223076)), _223082 = _223080, _223078 = _223076], (442 ^ _219298) ^ [_235052, _235054] : [445 ^ _219298 : [(446 ^ _219298) ^ [] : [-(leq(n0, 443 ^ [_235052, _235054]))], (450 ^ _219298) ^ [] : [-(leq(n0, 444 ^ [_235052, _235054]))], (454 ^ _219298) ^ [] : [a_select3(_235054, 443 ^ [_235052, _235054], 444 ^ [_235052, _235054]) = a_select3(_235054, 444 ^ [_235052, _235054], 443 ^ [_235052, _235054])], (452 ^ _219298) ^ [] : [-(leq(444 ^ [_235052, _235054], _235052))], (448 ^ _219298) ^ [] : [-(leq(443 ^ [_235052, _235054], _235052))]], 455 ^ _219298 : [(456 ^ _219298) ^ [_235809, _235811] : [-(a_select3(inv(_235054), _235811, _235809) = a_select3(inv(_235054), _235809, _235811)), leq(n0, _235811), leq(_235811, _235052), leq(n0, _235809), leq(_235809, _235052)]]], (1037 ^ _219298) ^ [] : [-(succ(succ(n0)) = n2)], (120 ^ _219298) ^ [_223407, _223409] : [_223409 = _223407, -(inv(_223409) = inv(_223407))], (907 ^ _219298) ^ [] : [-(gt(n4, n3))], (358 ^ _219298) ^ [_231904, _231906] : [leq(_231906, _231904), -(gt(succ(_231904), _231906))], (836 ^ _219298) ^ [_253305, _253307, _253309, _253311, _253313] : [-(a_select2(tptp_update2(_253309, _253313, _253305), _253311) = _253307), -(_253313 = _253311), a_select2(_253309, _253311) = _253307], (879 ^ _219298) ^ [] : [-(gt(n2, tptp_minus_1))], (738 ^ _219298) ^ [_249143] : [-(plus(n1, _249143) = succ(_249143))], (867 ^ _219298) ^ [] : [def = use], (4 ^ _219298) ^ [_219529, _219531] : [_219531 = _219529, -(_219529 = _219531)], (895 ^ _219298) ^ [] : [-(gt(n5, n1))], (909 ^ _219298) ^ [] : [-(gt(n5, n3))], (750 ^ _219298) ^ [_249659] : [-(plus(n4, _249659) = succ(succ(succ(succ(_249659)))))], (322 ^ _219298) ^ [_230658, _230660] : [gt(_230658, _230660), -(leq(_230660, _230658))], (875 ^ _219298) ^ [] : [-(gt(n0, tptp_minus_1))], (802 ^ _219298) ^ [_251803, _251805, _251807, _251809, _251811, _251813] : [-(a_select3(tptp_update3(_251805, _251809, _251807, _251803), _251813, _251811) = _251803), 807 ^ _219298 : [(808 ^ _219298) ^ [] : [-(leq(n0, 805 ^ [_251803, _251805, _251807, _251809, _251811, _251813]))], (812 ^ _219298) ^ [] : [-(leq(805 ^ [_251803, _251805, _251807, _251809, _251811, _251813], _251809))], (816 ^ _219298) ^ [] : [a_select3(_251805, 805 ^ [_251803, _251805, _251807, _251809, _251811, _251813], 806 ^ [_251803, _251805, _251807, _251809, _251811, _251813]) = _251803], (814 ^ _219298) ^ [] : [-(leq(806 ^ [_251803, _251805, _251807, _251809, _251811, _251813], _251807))], (810 ^ _219298) ^ [] : [-(leq(n0, 806 ^ [_251803, _251805, _251807, _251809, _251811, _251813]))]], leq(n0, _251813), leq(_251813, _251809), leq(n0, _251811), leq(_251811, _251807)], (234 ^ _219298) ^ [_227605, _227607, _227609, _227611] : [-(a_select2(_227611, _227607) = a_select2(_227609, _227605)), _227611 = _227609, _227607 = _227605], (774 ^ _219298) ^ [_250625, _250627] : [leq(succ(_250627), _250625), -(gt(_250625, _250627))], (897 ^ _219298) ^ [] : [-(gt(n2, n1))], (881 ^ _219298) ^ [] : [-(gt(n3, tptp_minus_1))], (216 ^ _219298) ^ [_226972, _226974, _226976, _226978, _226980, _226982, _226984, _226986] : [-(tptp_update3(_226986, _226982, _226978, _226974) = tptp_update3(_226984, _226980, _226976, _226972)), _226986 = _226984, _226982 = _226980, _226978 = _226976, _226974 = _226972], (304 ^ _219298) ^ [_230043, _230045] : [gt(_230043, _230045), -(lt(_230045, _230043))], (762 ^ _219298) ^ [_250235, _250237] : [leq(succ(_250237), succ(_250235)), -(leq(_250237, _250235))], (514 ^ _219298) ^ [_237988, _237990, _237992] : [519 ^ _219298 : [(520 ^ _219298) ^ [] : [-(leq(n0, 517 ^ [_237988, _237990, _237992]))], (524 ^ _219298) ^ [] : [-(leq(n0, 518 ^ [_237988, _237990, _237992]))], (528 ^ _219298) ^ [] : [a_select3(_237992, 517 ^ [_237988, _237990, _237992], 518 ^ [_237988, _237990, _237992]) = a_select3(_237992, 518 ^ [_237988, _237990, _237992], 517 ^ [_237988, _237990, _237992])], (526 ^ _219298) ^ [] : [-(leq(518 ^ [_237988, _237990, _237992], _237988))], (522 ^ _219298) ^ [] : [-(leq(517 ^ [_237988, _237990, _237992], _237988))]], 531 ^ _219298 : [(532 ^ _219298) ^ [] : [-(leq(n0, 529 ^ [_237988, _237990, _237992]))], (536 ^ _219298) ^ [] : [-(leq(n0, 530 ^ [_237988, _237990, _237992]))], (540 ^ _219298) ^ [] : [a_select3(_237990, 529 ^ [_237988, _237990, _237992], 530 ^ [_237988, _237990, _237992]) = a_select3(_237990, 530 ^ [_237988, _237990, _237992], 529 ^ [_237988, _237990, _237992])], (538 ^ _219298) ^ [] : [-(leq(530 ^ [_237988, _237990, _237992], _237988))], (534 ^ _219298) ^ [] : [-(leq(529 ^ [_237988, _237990, _237992], _237988))]], 541 ^ _219298 : [(542 ^ _219298) ^ [_239497, _239499] : [-(a_select3(tptp_madd(_237992, _237990), _239499, _239497) = a_select3(tptp_madd(_237992, _237990), _239497, _239499)), leq(n0, _239499), leq(_239499, _237988), leq(n0, _239497), leq(_239497, _237988)]]], (136 ^ _219298) ^ [_224012, _224014, _224016, _224018] : [-(tptp_madd(_224018, _224014) = tptp_madd(_224016, _224012)), _224018 = _224016, _224014 = _224012], (899 ^ _219298) ^ [] : [-(gt(n3, n1))], (780 ^ _219298) ^ [_250839, _250841] : [leq(minus(_250841, _250839), _250841), -(leq(n0, _250839))], (748 ^ _219298) ^ [_249570] : [-(plus(_249570, n4) = succ(succ(succ(succ(_249570)))))], (126 ^ _219298) ^ [_223653, _223655, _223657, _223659] : [-(tptp_msub(_223659, _223655) = tptp_msub(_223657, _223653)), _223659 = _223657, _223655 = _223653], (903 ^ _219298) ^ [] : [-(gt(n5, n2))], (834 ^ _219298) ^ [_253145, _253147, _253149] : [-(a_select2(tptp_update2(_253149, _253147, _253145), _253147) = _253145)], (744 ^ _219298) ^ [_249396] : [-(plus(_249396, n3) = succ(succ(succ(_249396))))], (736 ^ _219298) ^ [_249060] : [-(plus(_249060, n1) = succ(_249060))], (754 ^ _219298) ^ [_249839] : [-(plus(n5, _249839) = succ(succ(succ(succ(succ(_249839))))))]], input).
% 46.55/45.98  ncf('1',plain,[-(leq(n1, loopcounter))],start(1043 ^ 0)).
% 46.55/45.98  ncf('1.1',plain,[leq(n1, loopcounter), -(gt(loopcounter, n1)), -(n1 = loopcounter)],extension(328 ^ 1,bind([[_230868, _230870], [loopcounter, n1]]))).
% 46.55/45.98  ncf('1.1.1',plain,[gt(loopcounter, n1), -(gt(loopcounter, n0)), gt(n1, n0)],extension(274 ^ 2,bind([[_229065, _229067, _229069], [n0, n1, loopcounter]]))).
% 46.55/45.98  ncf('1.1.1.1',plain,[gt(loopcounter, n0), -(leq(s_worst7, n3))],extension(1111 ^ 3)).
% 46.55/45.98  ncf('1.1.1.1.1',plain,[leq(s_worst7, n3)],extension(1117 ^ 4)).
% 46.55/45.98  ncf('1.1.1.2',plain,[-(gt(n1, n0))],extension(887 ^ 3)).
% 46.55/45.98  ncf('1.1.2',plain,[n1 = loopcounter, -(leq(succ(n0), loopcounter)), leq(n1, n1), n1 = succ(n0)],extension(62 ^ 2,bind([[_221386, _221388, _221390, _221392], [loopcounter, n1, succ(n0), n1]]))).
% 46.55/45.98  ncf('1.1.2.1',plain,[leq(succ(n0), loopcounter), -(gt(loopcounter, n0))],extension(774 ^ 3,bind([[_250625, _250627], [loopcounter, n0]]))).
% 46.55/45.98  ncf('1.1.2.1.1',plain,[gt(loopcounter, n0), -(leq(s_worst7, n3))],extension(1111 ^ 4)).
% 46.55/45.98  ncf('1.1.2.1.1.1',plain,[leq(s_worst7, n3)],extension(1117 ^ 5)).
% 46.55/45.98  ncf('1.1.2.2',plain,[-(leq(n1, n1))],extension(286 ^ 3,bind([[_229422], [n1]]))).
% 46.55/45.98  ncf('1.1.2.3',plain,[-(n1 = succ(n0)), succ(n0) = n1],extension(4 ^ 3,bind([[_219529, _219531], [n1, succ(n0)]]))).
% 46.55/45.98  ncf('1.1.2.3.1',plain,[-(succ(n0) = n1)],extension(1035 ^ 4)).
% 46.55/45.98  %-----------------------------------------------------
% 46.55/45.98  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------