%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV038+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 0.37s 1.39s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV038+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n010.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 02:33:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.37/1.39  
% 0.37/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.39  %-----------------------------------------------------
% 0.37/1.39  ncf(matrix, plain, [(1117 ^ _232585) ^ [] : [init = init, 1217 ^ _232585 : [(1218 ^ _232585) ^ [] : [-(n0 = pv1413)], (1220 ^ _232585) ^ [] : [true]], 1122 ^ _232585 : [(1123 ^ _232585) ^ [] : [n0 = pv1413], (1125 ^ _232585) ^ [] : [init = init, s_best7_init = init, s_sworst7_init = init, s_worst7_init = init, leq(n0, s_best7), leq(n0, s_sworst7), leq(n0, s_worst7), leq(s_best7, n3), leq(s_sworst7, n3), leq(s_worst7, n3), 1167 ^ _232585 : [(1168 ^ _232585) ^ [] : [-(leq(n0, 1166 ^ []))], (1170 ^ _232585) ^ [] : [-(leq(1166 ^ [], n2))], (1173 ^ _232585) ^ [] : [-(leq(n0, 1171 ^ []))], (1175 ^ _232585) ^ [] : [-(leq(1171 ^ [], n3))], (1177 ^ _232585) ^ [] : [a_select3(simplex7_init, 1171 ^ [], 1166 ^ []) = init]], 1181 ^ _232585 : [(1182 ^ _232585) ^ [] : [-(leq(n0, 1180 ^ []))], (1184 ^ _232585) ^ [] : [-(leq(1180 ^ [], n3))], (1186 ^ _232585) ^ [] : [a_select2(s_values7_init, 1180 ^ []) = init]], 1190 ^ _232585 : [(1191 ^ _232585) ^ [] : [-(leq(n0, 1189 ^ []))], (1193 ^ _232585) ^ [] : [-(leq(1189 ^ [], n2))], (1195 ^ _232585) ^ [] : [a_select2(s_center7_init, 1189 ^ []) = init]], 1199 ^ _232585 : [(1200 ^ _232585) ^ [] : [-(leq(n0, 1198 ^ []))], (1202 ^ _232585) ^ [] : [-(leq(1198 ^ [], minus(n3, n1)))], (1204 ^ _232585) ^ [] : [a_select2(s_try7_init, 1198 ^ []) = init]], 1205 ^ _232585 : [(1206 ^ _232585) ^ [] : [-(gt(loopcounter, n1))], (1208 ^ _232585) ^ [] : [pvar1400_init = init, pvar1401_init = init, pvar1402_init = init]]]]], (1041 ^ _232585) ^ [] : [-(s_best7_init = init)], (1043 ^ _232585) ^ [] : [-(s_sworst7_init = init)], (1045 ^ _232585) ^ [] : [-(s_worst7_init = init)], (1047 ^ _232585) ^ [] : [-(leq(n0, s_best7))], (1049 ^ _232585) ^ [] : [-(leq(n0, s_sworst7))], (1051 ^ _232585) ^ [] : [-(leq(n0, s_worst7))], (1053 ^ _232585) ^ [] : [-(leq(s_best7, n3))], (1055 ^ _232585) ^ [] : [-(leq(s_sworst7, n3))], (1057 ^ _232585) ^ [] : [-(leq(s_worst7, n3))], (1059 ^ _232585) ^ [_272979] : [leq(n0, _272979), leq(_272979, n2), 1066 ^ _232585 : [(1067 ^ _232585) ^ [_273207] : [-(a_select3(simplex7_init, _273207, _272979) = init), leq(n0, _273207), leq(_273207, n3)]]], (1077 ^ _232585) ^ [_273509] : [-(a_select2(s_values7_init, _273509) = init), leq(n0, _273509), leq(_273509, n3)], (1087 ^ _232585) ^ [_273790] : [-(a_select2(s_center7_init, _273790) = init), leq(n0, _273790), leq(_273790, n2)], (1107 ^ _232585) ^ [] : [gt(loopcounter, n1), 1110 ^ _232585 : [(1111 ^ _232585) ^ [] : [-(pvar1400_init = init)], (1113 ^ _232585) ^ [] : [-(pvar1401_init = init)], (1115 ^ _232585) ^ [] : [-(pvar1402_init = init)]]], (1097 ^ _232585) ^ [_274071] : [-(a_select2(s_try7_init, _274071) = init), leq(n0, _274071), leq(_274071, minus(n3, n1))], (2 ^ _232585) ^ [_232729] : [-(_232729 = _232729)], (4 ^ _232585) ^ [_232836, _232838] : [_232838 = _232836, -(_232836 = _232838)], (10 ^ _232585) ^ [_233040, _233042, _233044] : [-(_233044 = _233040), _233044 = _233042, _233042 = _233040], (20 ^ _232585) ^ [_233381, _233383, _233385, _233387] : [-(lt(_233385, _233381)), lt(_233387, _233383), _233387 = _233385, _233383 = _233381], (34 ^ _232585) ^ [_233825, _233827, _233829, _233831] : [-(geq(_233829, _233825)), geq(_233831, _233827), _233831 = _233829, _233827 = _233825], (48 ^ _232585) ^ [_234269, _234271, _234273, _234275] : [-(leq(_234273, _234269)), leq(_234275, _234271), _234275 = _234273, _234271 = _234269], (62 ^ _232585) ^ [_234693, _234695, _234697, _234699] : [-(gt(_234697, _234693)), gt(_234699, _234695), _234699 = _234697, _234695 = _234693], (76 ^ _232585) ^ [_235149, _235151, _235153, _235155] : [-(uniform_int_rnd(_235155, _235151) = uniform_int_rnd(_235153, _235149)), _235155 = _235153, _235151 = _235149], (86 ^ _232585) ^ [_235508, _235510, _235512, _235514] : [-(tptp_const_array1(_235514, _235510) = tptp_const_array1(_235512, _235508)), _235514 = _235512, _235510 = _235508], (96 ^ _232585) ^ [_235895, _235897, _235899, _235901, _235903, _235905] : [-(tptp_const_array2(_235905, _235901, _235897) = tptp_const_array2(_235903, _235899, _235895)), _235905 = _235903, _235901 = _235899, _235897 = _235895], (110 ^ _232585) ^ [_236383, _236385, _236387, _236389] : [-(dim(_236389, _236385) = dim(_236387, _236383)), _236389 = _236387, _236385 = _236383], (120 ^ _232585) ^ [_236714, _236716] : [_236716 = _236714, -(inv(_236716) = inv(_236714))], (126 ^ _232585) ^ [_236960, _236962, _236964, _236966] : [-(tptp_msub(_236966, _236962) = tptp_msub(_236964, _236960)), _236966 = _236964, _236962 = _236960], (136 ^ _232585) ^ [_237319, _237321, _237323, _237325] : [-(tptp_madd(_237325, _237321) = tptp_madd(_237323, _237319)), _237325 = _237323, _237321 = _237319], (146 ^ _232585) ^ [_237678, _237680, _237682, _237684] : [-(tptp_mmul(_237684, _237680) = tptp_mmul(_237682, _237678)), _237684 = _237682, _237680 = _237678], (156 ^ _232585) ^ [_238009, _238011] : [_238011 = _238009, -(trans(_238011) = trans(_238009))], (162 ^ _232585) ^ [_238283, _238285, _238287, _238289, _238291, _238293] : [-(sum(_238293, _238289, _238285) = sum(_238291, _238287, _238283)), _238293 = _238291, _238289 = _238287, _238285 = _238283], (176 ^ _232585) ^ [_238771, _238773, _238775, _238777] : [-(plus(_238777, _238773) = plus(_238775, _238771)), _238777 = _238775, _238773 = _238771], (186 ^ _232585) ^ [_239102, _239104] : [_239104 = _239102, -(pred(_239104) = pred(_239102))], (192 ^ _232585) ^ [_239404, _239406, _239408, _239410, _239412, _239414, _239416, _239418] : [-(tptp_update3(_239418, _239414, _239410, _239406) = tptp_update3(_239416, _239412, _239408, _239404)), _239418 = _239416, _239414 = _239412, _239410 = _239408, _239406 = _239404], (210 ^ _232585) ^ [_240065, _240067, _240069, _240071, _240073, _240075] : [-(tptp_update2(_240075, _240071, _240067) = tptp_update2(_240073, _240069, _240065)), _240075 = _240073, _240071 = _240069, _240067 = _240065], (224 ^ _232585) ^ [_240525, _240527] : [_240527 = _240525, -(succ(_240527) = succ(_240525))], (230 ^ _232585) ^ [_240799, _240801, _240803, _240805, _240807, _240809] : [-(a_select3(_240809, _240805, _240801) = a_select3(_240807, _240803, _240799)), _240809 = _240807, _240805 = _240803, _240801 = _240799], (244 ^ _232585) ^ [_241287, _241289, _241291, _241293] : [-(minus(_241293, _241289) = minus(_241291, _241287)), _241293 = _241291, _241289 = _241287], (254 ^ _232585) ^ [_241626, _241628, _241630, _241632] : [-(a_select2(_241632, _241628) = a_select2(_241630, _241626)), _241632 = _241630, _241628 = _241626], (869 ^ _232585) ^ [] : [-(gt(n5, n4))], (871 ^ _232585) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _232585) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _232585) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _232585) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _232585) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _232585) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _232585) ^ [] : [-(gt(n4, n0))], (885 ^ _232585) ^ [] : [-(gt(n5, n0))], (887 ^ _232585) ^ [] : [-(gt(n1, n0))], (889 ^ _232585) ^ [] : [-(gt(n2, n0))], (891 ^ _232585) ^ [] : [-(gt(n3, n0))], (893 ^ _232585) ^ [] : [-(gt(n4, n1))], (895 ^ _232585) ^ [] : [-(gt(n5, n1))], (897 ^ _232585) ^ [] : [-(gt(n2, n1))], (899 ^ _232585) ^ [] : [-(gt(n3, n1))], (901 ^ _232585) ^ [] : [-(gt(n4, n2))], (903 ^ _232585) ^ [] : [-(gt(n5, n2))], (905 ^ _232585) ^ [] : [-(gt(n3, n2))], (907 ^ _232585) ^ [] : [-(gt(n4, n3))], (909 ^ _232585) ^ [] : [-(gt(n5, n3))], (911 ^ _232585) ^ [_269095] : [leq(n0, _269095), leq(_269095, n4), -(_269095 = n0), -(_269095 = n1), -(_269095 = n2), -(_269095 = n3), -(_269095 = n4)], (937 ^ _232585) ^ [_269716] : [leq(n0, _269716), leq(_269716, n5), -(_269716 = n0), -(_269716 = n1), -(_269716 = n2), -(_269716 = n3), -(_269716 = n4), -(_269716 = n5)], (967 ^ _232585) ^ [_270423] : [-(_270423 = n0), leq(n0, _270423), leq(_270423, n0)], (977 ^ _232585) ^ [_270698] : [leq(n0, _270698), leq(_270698, n1), -(_270698 = n0), -(_270698 = n1)], (991 ^ _232585) ^ [_271061] : [leq(n0, _271061), leq(_271061, n2), -(_271061 = n0), -(_271061 = n1), -(_271061 = n2)], (1031 ^ _232585) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _232585) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _232585) ^ [] : [-(succ(n0) = n1)], (1037 ^ _232585) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _232585) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _232585) ^ [_271510] : [leq(n0, _271510), leq(_271510, n3), -(_271510 = n0), -(_271510 = n1), -(_271510 = n2), -(_271510 = n3)], (264 ^ _232585) ^ [_242057, _242059] : [-(gt(_242059, _242057)), -(gt(_242057, _242059)), -(_242059 = _242057)], (274 ^ _232585) ^ [_242372, _242374, _242376] : [-(gt(_242376, _242372)), gt(_242376, _242374), gt(_242374, _242372)], (284 ^ _232585) ^ [_242651] : [gt(_242651, _242651)], (286 ^ _232585) ^ [_242729] : [-(leq(_242729, _242729))], (288 ^ _232585) ^ [_242850, _242852, _242854] : [-(leq(_242854, _242850)), leq(_242854, _242852), leq(_242852, _242850)], (298 ^ _232585) ^ [_243188, _243190] : [lt(_243190, _243188), -(gt(_243188, _243190))], (304 ^ _232585) ^ [_243350, _243352] : [gt(_243350, _243352), -(lt(_243352, _243350))], (310 ^ _232585) ^ [_243591, _243593] : [geq(_243593, _243591), -(leq(_243591, _243593))], (316 ^ _232585) ^ [_243753, _243755] : [leq(_243753, _243755), -(geq(_243755, _243753))], (322 ^ _232585) ^ [_243965, _243967] : [gt(_243965, _243967), -(leq(_243967, _243965))], (328 ^ _232585) ^ [_244175, _244177] : [-(gt(_244175, _244177)), leq(_244177, _244175), -(_244177 = _244175)], (338 ^ _232585) ^ [_244506, _244508] : [leq(_244508, pred(_244506)), -(gt(_244506, _244508))], (344 ^ _232585) ^ [_244672, _244674] : [gt(_244672, _244674), -(leq(_244674, pred(_244672)))], (350 ^ _232585) ^ [_244859] : [-(gt(succ(_244859), _244859))], (352 ^ _232585) ^ [_244968, _244970] : [leq(_244970, _244968), -(leq(_244970, succ(_244968)))], (358 ^ _232585) ^ [_245211, _245213] : [leq(_245213, _245211), -(gt(succ(_245211), _245213))], (364 ^ _232585) ^ [_245377, _245379] : [gt(succ(_245377), _245379), -(leq(_245379, _245377))], (370 ^ _232585) ^ [_245593, _245595] : [leq(n0, _245595), -(leq(uniform_int_rnd(_245593, _245595), _245595))], (376 ^ _232585) ^ [_245809, _245811] : [leq(n0, _245811), -(leq(n0, uniform_int_rnd(_245809, _245811)))], (382 ^ _232585) ^ [_246053, _246055, _246057, _246059] : [-(a_select2(tptp_const_array1(dim(_246057, _246055), _246053), _246059) = _246053), leq(_246057, _246059), leq(_246059, _246055)], (392 ^ _232585) ^ [_246460, _246462, _246464, _246466, _246468, _246470, _246472] : [-(a_select3(tptp_const_array2(dim(_246470, _246468), dim(_246464, _246462), _246460), _246472, _246466) = _246460), leq(_246470, _246472), leq(_246472, _246468), leq(_246464, _246466), leq(_246466, _246462)], (410 ^ _232585) ^ [_247055, _247057] : [413 ^ _232585 : [(414 ^ _232585) ^ [] : [-(leq(n0, 411 ^ [_247055, _247057]))], (416 ^ _232585) ^ [] : [-(leq(411 ^ [_247055, _247057], _247055))], (418 ^ _232585) ^ [] : [-(leq(n0, 412 ^ [_247055, _247057]))], (420 ^ _232585) ^ [] : [-(leq(412 ^ [_247055, _247057], _247055))], (422 ^ _232585) ^ [] : [a_select3(_247057, 411 ^ [_247055, _247057], 412 ^ [_247055, _247057]) = a_select3(_247057, 412 ^ [_247055, _247057], 411 ^ [_247055, _247057])]], 423 ^ _232585 : [(424 ^ _232585) ^ [_247812, _247814] : [-(a_select3(trans(_247057), _247814, _247812) = a_select3(trans(_247057), _247812, _247814)), leq(n0, _247814), leq(_247814, _247055), leq(n0, _247812), leq(_247812, _247055)]]], (442 ^ _232585) ^ [_248359, _248361] : [445 ^ _232585 : [(446 ^ _232585) ^ [] : [-(leq(n0, 443 ^ [_248359, _248361]))], (448 ^ _232585) ^ [] : [-(leq(443 ^ [_248359, _248361], _248359))], (450 ^ _232585) ^ [] : [-(leq(n0, 444 ^ [_248359, _248361]))], (452 ^ _232585) ^ [] : [-(leq(444 ^ [_248359, _248361], _248359))], (454 ^ _232585) ^ [] : [a_select3(_248361, 443 ^ [_248359, _248361], 444 ^ [_248359, _248361]) = a_select3(_248361, 444 ^ [_248359, _248361], 443 ^ [_248359, _248361])]], 455 ^ _232585 : [(456 ^ _232585) ^ [_249116, _249118] : [-(a_select3(inv(_248361), _249118, _249116) = a_select3(inv(_248361), _249116, _249118)), leq(n0, _249118), leq(_249118, _248359), leq(n0, _249116), leq(_249116, _248359)]]], (474 ^ _232585) ^ [_249663, _249665] : [477 ^ _232585 : [(478 ^ _232585) ^ [] : [-(leq(n0, 475 ^ [_249663, _249665]))], (480 ^ _232585) ^ [] : [-(leq(475 ^ [_249663, _249665], _249663))], (482 ^ _232585) ^ [] : [-(leq(n0, 476 ^ [_249663, _249665]))], (484 ^ _232585) ^ [] : [-(leq(476 ^ [_249663, _249665], _249663))], (486 ^ _232585) ^ [] : [a_select3(_249665, 475 ^ [_249663, _249665], 476 ^ [_249663, _249665]) = a_select3(_249665, 476 ^ [_249663, _249665], 475 ^ [_249663, _249665])]], 487 ^ _232585 : [(488 ^ _232585) ^ [_250476, _250478, _250480, _250482] : [-(a_select3(tptp_update3(_249665, _250478, _250478, _250476), _250482, _250480) = a_select3(tptp_update3(_249665, _250478, _250478, _250476), _250480, _250482)), leq(n0, _250482), leq(_250482, _249663), leq(n0, _250480), leq(_250480, _249663), leq(n0, _250478), leq(_250478, _249663)]]], (514 ^ _232585) ^ [_251295, _251297, _251299] : [519 ^ _232585 : [(520 ^ _232585) ^ [] : [-(leq(n0, 517 ^ [_251295, _251297, _251299]))], (522 ^ _232585) ^ [] : [-(leq(517 ^ [_251295, _251297, _251299], _251295))], (524 ^ _232585) ^ [] : [-(leq(n0, 518 ^ [_251295, _251297, _251299]))], (526 ^ _232585) ^ [] : [-(leq(518 ^ [_251295, _251297, _251299], _251295))], (528 ^ _232585) ^ [] : [a_select3(_251299, 517 ^ [_251295, _251297, _251299], 518 ^ [_251295, _251297, _251299]) = a_select3(_251299, 518 ^ [_251295, _251297, _251299], 517 ^ [_251295, _251297, _251299])]], 531 ^ _232585 : [(532 ^ _232585) ^ [] : [-(leq(n0, 529 ^ [_251295, _251297, _251299]))], (534 ^ _232585) ^ [] : [-(leq(529 ^ [_251295, _251297, _251299], _251295))], (536 ^ _232585) ^ [] : [-(leq(n0, 530 ^ [_251295, _251297, _251299]))], (538 ^ _232585) ^ [] : [-(leq(530 ^ [_251295, _251297, _251299], _251295))], (540 ^ _232585) ^ [] : [a_select3(_251297, 529 ^ [_251295, _251297, _251299], 530 ^ [_251295, _251297, _251299]) = a_select3(_251297, 530 ^ [_251295, _251297, _251299], 529 ^ [_251295, _251297, _251299])]], 541 ^ _232585 : [(542 ^ _232585) ^ [_252804, _252806] : [-(a_select3(tptp_madd(_251299, _251297), _252806, _252804) = a_select3(tptp_madd(_251299, _251297), _252804, _252806)), leq(n0, _252806), leq(_252806, _251295), leq(n0, _252804), leq(_252804, _251295)]]], (560 ^ _232585) ^ [_253390, _253392, _253394] : [565 ^ _232585 : [(566 ^ _232585) ^ [] : [-(leq(n0, 563 ^ [_253390, _253392, _253394]))], (568 ^ _232585) ^ [] : [-(leq(563 ^ [_253390, _253392, _253394], _253390))], (570 ^ _232585) ^ [] : [-(leq(n0, 564 ^ [_253390, _253392, _253394]))], (572 ^ _232585) ^ [] : [-(leq(564 ^ [_253390, _253392, _253394], _253390))], (574 ^ _232585) ^ [] : [a_select3(_253394, 563 ^ [_253390, _253392, _253394], 564 ^ [_253390, _253392, _253394]) = a_select3(_253394, 564 ^ [_253390, _253392, _253394], 563 ^ [_253390, _253392, _253394])]], 577 ^ _232585 : [(578 ^ _232585) ^ [] : [-(leq(n0, 575 ^ [_253390, _253392, _253394]))], (580 ^ _232585) ^ [] : [-(leq(575 ^ [_253390, _253392, _253394], _253390))], (582 ^ _232585) ^ [] : [-(leq(n0, 576 ^ [_253390, _253392, _253394]))], (584 ^ _232585) ^ [] : [-(leq(576 ^ [_253390, _253392, _253394], _253390))], (586 ^ _232585) ^ [] : [a_select3(_253392, 575 ^ [_253390, _253392, _253394], 576 ^ [_253390, _253392, _253394]) = a_select3(_253392, 576 ^ [_253390, _253392, _253394], 575 ^ [_253390, _253392, _253394])]], 587 ^ _232585 : [(588 ^ _232585) ^ [_254899, _254901] : [-(a_select3(tptp_msub(_253394, _253392), _254901, _254899) = a_select3(tptp_msub(_253394, _253392), _254899, _254901)), leq(n0, _254901), leq(_254901, _253390), leq(n0, _254899), leq(_254899, _253390)]]], (606 ^ _232585) ^ [_255485, _255487, _255489] : [609 ^ _232585 : [(610 ^ _232585) ^ [] : [-(leq(n0, 607 ^ [_255485, _255487, _255489]))], (612 ^ _232585) ^ [] : [-(leq(607 ^ [_255485, _255487, _255489], _255485))], (614 ^ _232585) ^ [] : [-(leq(n0, 608 ^ [_255485, _255487, _255489]))], (616 ^ _232585) ^ [] : [-(leq(608 ^ [_255485, _255487, _255489], _255485))], (618 ^ _232585) ^ [] : [a_select3(_255487, 607 ^ [_255485, _255487, _255489], 608 ^ [_255485, _255487, _255489]) = a_select3(_255487, 608 ^ [_255485, _255487, _255489], 607 ^ [_255485, _255487, _255489])]], 619 ^ _232585 : [(620 ^ _232585) ^ [_256298, _256300] : [-(a_select3(tptp_mmul(_255489, tptp_mmul(_255487, trans(_255489))), _256300, _256298) = a_select3(tptp_mmul(_255489, tptp_mmul(_255487, trans(_255489))), _256298, _256300)), leq(n0, _256300), leq(_256300, _255485), leq(n0, _256298), leq(_256298, _255485)]]], (638 ^ _232585) ^ [_256917, _256919, _256921, _256923] : [641 ^ _232585 : [(642 ^ _232585) ^ [] : [-(leq(n0, 639 ^ [_256917, _256919, _256921, _256923]))], (644 ^ _232585) ^ [] : [-(leq(639 ^ [_256917, _256919, _256921, _256923], _256917))], (646 ^ _232585) ^ [] : [-(leq(n0, 640 ^ [_256917, _256919, _256921, _256923]))], (648 ^ _232585) ^ [] : [-(leq(640 ^ [_256917, _256919, _256921, _256923], _256917))], (650 ^ _232585) ^ [] : [a_select3(_256921, 639 ^ [_256917, _256919, _256921, _256923], 640 ^ [_256917, _256919, _256921, _256923]) = a_select3(_256921, 640 ^ [_256917, _256919, _256921, _256923], 639 ^ [_256917, _256919, _256921, _256923])]], 651 ^ _232585 : [(652 ^ _232585) ^ [_257774, _257776] : [-(a_select3(tptp_mmul(_256923, tptp_mmul(_256921, trans(_256923))), _257776, _257774) = a_select3(tptp_mmul(_256923, tptp_mmul(_256921, trans(_256923))), _257774, _257776)), leq(n0, _257776), leq(_257776, _256919), leq(n0, _257774), leq(_257774, _256919)]]], (670 ^ _232585) ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483] : [675 ^ _232585 : [(676 ^ _232585) ^ [] : [-(leq(n0, 673 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (678 ^ _232585) ^ [] : [-(leq(673 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258469))], (680 ^ _232585) ^ [] : [-(leq(n0, 674 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (682 ^ _232585) ^ [] : [-(leq(674 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258469))], (684 ^ _232585) ^ [] : [a_select3(_258477, 673 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 674 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]) = a_select3(_258477, 674 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 673 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483])]], 689 ^ _232585 : [(690 ^ _232585) ^ [] : [-(leq(n0, 687 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (692 ^ _232585) ^ [] : [-(leq(687 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258471))], (694 ^ _232585) ^ [] : [-(leq(n0, 688 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (696 ^ _232585) ^ [] : [-(leq(688 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258471))], (698 ^ _232585) ^ [] : [a_select3(_258483, 687 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 688 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]) = a_select3(_258483, 688 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 687 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483])]], 701 ^ _232585 : [(702 ^ _232585) ^ [] : [-(leq(n0, 699 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (704 ^ _232585) ^ [] : [-(leq(699 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258471))], (706 ^ _232585) ^ [] : [-(leq(n0, 700 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]))], (708 ^ _232585) ^ [] : [-(leq(700 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], _258471))], (710 ^ _232585) ^ [] : [a_select3(_258473, 699 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 700 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483]) = a_select3(_258473, 700 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483], 699 ^ [_258469, _258471, _258473, _258475, _258477, _258479, _258481, _258483])]], 711 ^ _232585 : [(712 ^ _232585) ^ [_261397, _261399] : [-(a_select3(tptp_madd(_258483, tptp_mmul(_258481, tptp_mmul(tptp_madd(tptp_mmul(_258479, tptp_mmul(_258477, trans(_258479))), tptp_mmul(_258475, tptp_mmul(_258473, trans(_258475)))), trans(_258481)))), _261399, _261397) = a_select3(tptp_madd(_258483, tptp_mmul(_258481, tptp_mmul(tptp_madd(tptp_mmul(_258479, tptp_mmul(_258477, trans(_258479))), tptp_mmul(_258475, tptp_mmul(_258473, trans(_258475)))), trans(_258481)))), _261397, _261399)), leq(n0, _261399), leq(_261399, _258471), leq(n0, _261397), leq(_261397, _258471)]]], (730 ^ _232585) ^ [_262150] : [-(sum(n0, tptp_minus_1, _262150) = n0)], (732 ^ _232585) ^ [_262232] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _262232))], (734 ^ _232585) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _232585) ^ [_262367] : [-(plus(_262367, n1) = succ(_262367))], (738 ^ _232585) ^ [_262450] : [-(plus(n1, _262450) = succ(_262450))], (740 ^ _232585) ^ [_262533] : [-(plus(_262533, n2) = succ(succ(_262533)))], (742 ^ _232585) ^ [_262618] : [-(plus(n2, _262618) = succ(succ(_262618)))], (744 ^ _232585) ^ [_262703] : [-(plus(_262703, n3) = succ(succ(succ(_262703))))], (746 ^ _232585) ^ [_262790] : [-(plus(n3, _262790) = succ(succ(succ(_262790))))], (748 ^ _232585) ^ [_262877] : [-(plus(_262877, n4) = succ(succ(succ(succ(_262877)))))], (750 ^ _232585) ^ [_262966] : [-(plus(n4, _262966) = succ(succ(succ(succ(_262966)))))], (752 ^ _232585) ^ [_263055] : [-(plus(_263055, n5) = succ(succ(succ(succ(succ(_263055))))))], (754 ^ _232585) ^ [_263146] : [-(plus(n5, _263146) = succ(succ(succ(succ(succ(_263146))))))], (756 ^ _232585) ^ [_263237] : [-(minus(_263237, n1) = pred(_263237))], (758 ^ _232585) ^ [_263320] : [-(pred(succ(_263320)) = _263320)], (760 ^ _232585) ^ [_263402] : [-(succ(pred(_263402)) = _263402)], (762 ^ _232585) ^ [_263542, _263544] : [leq(succ(_263544), succ(_263542)), -(leq(_263544, _263542))], (768 ^ _232585) ^ [_263712, _263714] : [leq(_263714, _263712), -(leq(succ(_263714), succ(_263712)))], (774 ^ _232585) ^ [_263932, _263934] : [leq(succ(_263934), _263932), -(gt(_263932, _263934))], (780 ^ _232585) ^ [_264146, _264148] : [leq(minus(_264148, _264146), _264148), -(leq(n0, _264146))], (786 ^ _232585) ^ [_264375, _264377, _264379, _264381] : [-(a_select3(tptp_update3(_264381, _264379, _264377, _264375), _264379, _264377) = _264375)], (788 ^ _232585) ^ [_264567, _264569, _264571, _264573, _264575, _264577, _264579] : [-(a_select3(tptp_update3(_264571, _264579, _264577, _264567), _264575, _264573) = _264569), -(_264579 = _264575), _264577 = _264573, a_select3(_264571, _264575, _264573) = _264569], (802 ^ _232585) ^ [_265110, _265112, _265114, _265116, _265118, _265120] : [-(a_select3(tptp_update3(_265112, _265116, _265114, _265110), _265120, _265118) = _265110), 807 ^ _232585 : [(808 ^ _232585) ^ [] : [-(leq(n0, 805 ^ [_265110, _265112, _265114, _265116, _265118, _265120]))], (810 ^ _232585) ^ [] : [-(leq(n0, 806 ^ [_265110, _265112, _265114, _265116, _265118, _265120]))], (812 ^ _232585) ^ [] : [-(leq(805 ^ [_265110, _265112, _265114, _265116, _265118, _265120], _265116))], (814 ^ _232585) ^ [] : [-(leq(806 ^ [_265110, _265112, _265114, _265116, _265118, _265120], _265114))], (816 ^ _232585) ^ [] : [a_select3(_265112, 805 ^ [_265110, _265112, _265114, _265116, _265118, _265120], 806 ^ [_265110, _265112, _265114, _265116, _265118, _265120]) = _265110]], leq(n0, _265120), leq(_265120, _265116), leq(n0, _265118), leq(_265118, _265114)], (834 ^ _232585) ^ [_266452, _266454, _266456] : [-(a_select2(tptp_update2(_266456, _266454, _266452), _266454) = _266452)], (836 ^ _232585) ^ [_266612, _266614, _266616, _266618, _266620] : [-(a_select2(tptp_update2(_266616, _266620, _266612), _266618) = _266614), -(_266620 = _266618), a_select2(_266616, _266618) = _266614], (865 ^ _232585) ^ [] : [-(true)], (867 ^ _232585) ^ [] : [def = use], (846 ^ _232585) ^ [_266992, _266994, _266996, _266998] : [-(a_select2(tptp_update2(_266994, _266996, _266992), _266998) = _266992), 850 ^ _232585 : [(851 ^ _232585) ^ [] : [-(leq(n0, 849 ^ [_266992, _266994, _266996, _266998]))], (853 ^ _232585) ^ [] : [-(leq(849 ^ [_266992, _266994, _266996, _266998], _266996))], (855 ^ _232585) ^ [] : [a_select2(_266994, 849 ^ [_266992, _266994, _266996, _266998]) = _266992]], leq(n0, _266998), leq(_266998, _266996)]], input).
% 0.37/1.39  ncf('1',plain,[init = init, 1220 : true, 1125 : init = init, 1125 : s_best7_init = init, 1125 : s_sworst7_init = init, 1125 : s_worst7_init = init, 1125 : leq(n0, s_best7), 1125 : leq(n0, s_sworst7), 1125 : leq(n0, s_worst7), 1125 : leq(s_best7, n3), 1125 : leq(s_sworst7, n3), 1125 : leq(s_worst7, n3), 1177 : a_select3(simplex7_init, 1171 ^ [], 1166 ^ []) = init, 1186 : a_select2(s_values7_init, 1180 ^ []) = init, 1195 : a_select2(s_center7_init, 1189 ^ []) = init, 1204 : a_select2(s_try7_init, 1198 ^ []) = init, 1208 : pvar1400_init = init, 1208 : pvar1401_init = init, 1208 : pvar1402_init = init],start(1117 ^ 0)).
% 0.37/1.39  ncf('1.1',plain,[-(init = init)],extension(2 ^ 1,bind([[_232729], [init]]))).
% 0.37/1.39  ncf('1.2',plain,[-(true)],extension(865 ^ 3)).
% 0.37/1.39  ncf('1.3',plain,[-(init = init)],lemmata('x')).
% 0.37/1.39  ncf('1.4',plain,[-(s_best7_init = init)],extension(1041 ^ 3)).
% 0.37/1.39  ncf('1.5',plain,[-(s_sworst7_init = init)],extension(1043 ^ 3)).
% 0.37/1.39  ncf('1.6',plain,[-(s_worst7_init = init)],extension(1045 ^ 3)).
% 0.37/1.39  ncf('1.7',plain,[-(leq(n0, s_best7))],extension(1047 ^ 3)).
% 0.37/1.39  ncf('1.8',plain,[-(leq(n0, s_sworst7))],extension(1049 ^ 3)).
% 0.37/1.39  ncf('1.9',plain,[-(leq(n0, s_worst7))],extension(1051 ^ 3)).
% 0.37/1.39  ncf('1.10',plain,[-(leq(s_best7, n3))],extension(1053 ^ 3)).
% 0.37/1.39  ncf('1.11',plain,[-(leq(s_sworst7, n3))],extension(1055 ^ 3)).
% 0.37/1.39  ncf('1.12',plain,[-(leq(s_worst7, n3))],extension(1057 ^ 3)).
% 0.37/1.39  ncf('1.13',plain,[-(a_select3(simplex7_init, 1171 ^ [], 1166 ^ []) = init), 1067 : leq(n0, 1171 ^ []), 1067 : leq(1171 ^ [], n3), 1067 : leq(n0, 1166 ^ []), 1067 : leq(1166 ^ [], n2)],extension(1059 ^ 5,bind([[_272979, _273207], [1166 ^ [], 1171 ^ []]]))).
% 0.37/1.39  ncf('1.13.1',plain,[-(leq(n0, 1171 ^ []))],extension(1173 ^ 8)).
% 0.37/1.39  ncf('1.13.2',plain,[-(leq(1171 ^ [], n3))],extension(1175 ^ 8)).
% 0.37/1.39  ncf('1.13.3',plain,[-(leq(n0, 1166 ^ []))],extension(1168 ^ 6)).
% 0.37/1.39  ncf('1.13.4',plain,[-(leq(1166 ^ [], n2))],extension(1170 ^ 6)).
% 0.37/1.39  ncf('1.14',plain,[-(a_select2(s_values7_init, 1180 ^ []) = init), leq(n0, 1180 ^ []), leq(1180 ^ [], n3)],extension(1077 ^ 5,bind([[_273509], [1180 ^ []]]))).
% 0.37/1.39  ncf('1.14.1',plain,[-(leq(n0, 1180 ^ []))],extension(1182 ^ 6)).
% 0.37/1.39  ncf('1.14.2',plain,[-(leq(1180 ^ [], n3))],extension(1184 ^ 6)).
% 0.37/1.39  ncf('1.15',plain,[-(a_select2(s_center7_init, 1189 ^ []) = init), leq(n0, 1189 ^ []), leq(1189 ^ [], n2)],extension(1087 ^ 5,bind([[_273790], [1189 ^ []]]))).
% 0.37/1.39  ncf('1.15.1',plain,[-(leq(n0, 1189 ^ []))],extension(1191 ^ 6)).
% 0.37/1.39  ncf('1.15.2',plain,[-(leq(1189 ^ [], n2))],extension(1193 ^ 6)).
% 0.37/1.39  ncf('1.16',plain,[-(a_select2(s_try7_init, 1198 ^ []) = init), leq(n0, 1198 ^ []), leq(1198 ^ [], minus(n3, n1))],extension(1097 ^ 5,bind([[_274071], [1198 ^ []]]))).
% 0.37/1.39  ncf('1.16.1',plain,[-(leq(n0, 1198 ^ []))],extension(1200 ^ 6)).
% 0.37/1.39  ncf('1.16.2',plain,[-(leq(1198 ^ [], minus(n3, n1)))],extension(1202 ^ 6)).
% 0.37/1.39  ncf('1.17',plain,[-(pvar1400_init = init), gt(loopcounter, n1)],extension(1107 ^ 5)).
% 0.37/1.39  ncf('1.17.1',plain,[-(gt(loopcounter, n1))],extension(1206 ^ 6)).
% 0.37/1.39  ncf('1.18',plain,[-(pvar1401_init = init), gt(loopcounter, n1)],extension(1107 ^ 5)).
% 0.37/1.39  ncf('1.18.1',plain,[-(gt(loopcounter, n1))],extension(1206 ^ 6)).
% 0.37/1.39  ncf('1.19',plain,[-(pvar1402_init = init), gt(loopcounter, n1)],extension(1107 ^ 5)).
% 0.37/1.39  ncf('1.19.1',plain,[-(gt(loopcounter, n1))],extension(1206 ^ 6)).
% 0.37/1.39  %-----------------------------------------------------
% 0.37/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------