%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 12:19:59 EDT 2023

% Result   : Theorem 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Fri May 19 02:26:46 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.38/1.40  
% 0.38/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.38/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  ncf(matrix, plain, [(1201 ^ _257428) ^ [] : [leq(n0, pv5), leq(pv5, minus(n999, n1)), 1212 ^ _257428 : [(1213 ^ _257428) ^ [] : [-(leq(n0, 1210 ^ []))], (1215 ^ _257428) ^ [] : [-(leq(n0, 1211 ^ []))], (1217 ^ _257428) ^ [] : [-(leq(1210 ^ [], minus(n6, n1)))], (1219 ^ _257428) ^ [] : [-(leq(1211 ^ [], minus(n6, n1)))], (1221 ^ _257428) ^ [] : [a_select3(q_ds1_filter, 1210 ^ [], 1211 ^ []) = a_select3(q_ds1_filter, 1211 ^ [], 1210 ^ [])]], 1226 ^ _257428 : [(1227 ^ _257428) ^ [] : [-(leq(n0, 1224 ^ []))], (1229 ^ _257428) ^ [] : [-(leq(n0, 1225 ^ []))], (1231 ^ _257428) ^ [] : [-(leq(1224 ^ [], minus(n3, n1)))], (1233 ^ _257428) ^ [] : [-(leq(1225 ^ [], minus(n3, n1)))], (1235 ^ _257428) ^ [] : [a_select3(r_ds1_filter, 1224 ^ [], 1225 ^ []) = a_select3(r_ds1_filter, 1225 ^ [], 1224 ^ [])]], 1240 ^ _257428 : [(1241 ^ _257428) ^ [] : [-(leq(n0, 1238 ^ []))], (1243 ^ _257428) ^ [] : [-(leq(n0, 1239 ^ []))], (1245 ^ _257428) ^ [] : [-(leq(1238 ^ [], minus(n6, n1)))], (1247 ^ _257428) ^ [] : [-(leq(1239 ^ [], minus(n6, n1)))], (1249 ^ _257428) ^ [] : [a_select3(pminus_ds1_filter, 1238 ^ [], 1239 ^ []) = a_select3(pminus_ds1_filter, 1239 ^ [], 1238 ^ [])]], 1254 ^ _257428 : [(1255 ^ _257428) ^ [] : [-(leq(n0, 1252 ^ []))], (1257 ^ _257428) ^ [] : [-(leq(n0, 1253 ^ []))], (1259 ^ _257428) ^ [] : [-(leq(1252 ^ [], minus(n6, n1)))], (1261 ^ _257428) ^ [] : [-(leq(1253 ^ [], minus(n6, n1)))], (1263 ^ _257428) ^ [] : [a_select3(pminus_ds1_filter, 1252 ^ [], 1253 ^ []) = a_select3(pminus_ds1_filter, 1253 ^ [], 1252 ^ [])]], 1265 ^ _257428 : [(1266 ^ _257428) ^ [] : [-(leq(n0, 1264 ^ []))], (1268 ^ _257428) ^ [] : [-(leq(1264 ^ [], minus(n6, n1)))], (1271 ^ _257428) ^ [] : [-(leq(n0, 1269 ^ []))], (1273 ^ _257428) ^ [] : [-(leq(1269 ^ [], minus(n6, n1)))], (1275 ^ _257428) ^ [] : [a_select3(id_ds1_filter, 1264 ^ [], 1269 ^ []) = a_select3(id_ds1_filter, 1269 ^ [], 1264 ^ [])]]], (1107 ^ _257428) ^ [] : [-(leq(n0, pv5))], (1109 ^ _257428) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1111 ^ _257428) ^ [_299176, _299178] : [-(a_select3(q_ds1_filter, _299178, _299176) = a_select3(q_ds1_filter, _299176, _299178)), leq(n0, _299178), leq(n0, _299176), leq(_299178, minus(n6, n1)), leq(_299176, minus(n6, n1))], (1129 ^ _257428) ^ [_299669, _299671] : [-(a_select3(r_ds1_filter, _299671, _299669) = a_select3(r_ds1_filter, _299669, _299671)), leq(n0, _299671), leq(n0, _299669), leq(_299671, minus(n3, n1)), leq(_299669, minus(n3, n1))], (1147 ^ _257428) ^ [_300162, _300164] : [-(a_select3(pminus_ds1_filter, _300164, _300162) = a_select3(pminus_ds1_filter, _300162, _300164)), leq(n0, _300164), leq(n0, _300162), leq(_300164, minus(n6, n1)), leq(_300162, minus(n6, n1))], (1165 ^ _257428) ^ [_300655, _300657] : [-(a_select3(pminus_ds1_filter, _300657, _300655) = a_select3(pminus_ds1_filter, _300655, _300657)), leq(n0, _300657), leq(n0, _300655), leq(_300657, minus(n6, n1)), leq(_300655, minus(n6, n1))], (1183 ^ _257428) ^ [_301114] : [leq(n0, _301114), leq(_301114, minus(n6, n1)), 1190 ^ _257428 : [(1191 ^ _257428) ^ [_301346] : [-(a_select3(id_ds1_filter, _301114, _301346) = a_select3(id_ds1_filter, _301346, _301114)), leq(n0, _301346), leq(_301346, minus(n6, n1))]]], (2 ^ _257428) ^ [_257572] : [-(_257572 = _257572)], (4 ^ _257428) ^ [_257679, _257681] : [_257681 = _257679, -(_257679 = _257681)], (10 ^ _257428) ^ [_257883, _257885, _257887] : [-(_257887 = _257883), _257887 = _257885, _257885 = _257883], (20 ^ _257428) ^ [_258224, _258226, _258228, _258230] : [-(lt(_258228, _258224)), lt(_258230, _258226), _258230 = _258228, _258226 = _258224], (34 ^ _257428) ^ [_258668, _258670, _258672, _258674] : [-(geq(_258672, _258668)), geq(_258674, _258670), _258674 = _258672, _258670 = _258668], (48 ^ _257428) ^ [_259112, _259114, _259116, _259118] : [-(gt(_259116, _259112)), gt(_259118, _259114), _259118 = _259116, _259114 = _259112], (62 ^ _257428) ^ [_259536, _259538, _259540, _259542] : [-(leq(_259540, _259536)), leq(_259542, _259538), _259542 = _259540, _259538 = _259536], (76 ^ _257428) ^ [_259992, _259994, _259996, _259998] : [-(uniform_int_rnd(_259998, _259994) = uniform_int_rnd(_259996, _259992)), _259998 = _259996, _259994 = _259992], (86 ^ _257428) ^ [_260351, _260353, _260355, _260357] : [-(tptp_const_array1(_260357, _260353) = tptp_const_array1(_260355, _260351)), _260357 = _260355, _260353 = _260351], (96 ^ _257428) ^ [_260738, _260740, _260742, _260744, _260746, _260748] : [-(tptp_const_array2(_260748, _260744, _260740) = tptp_const_array2(_260746, _260742, _260738)), _260748 = _260746, _260744 = _260742, _260740 = _260738], (110 ^ _257428) ^ [_261226, _261228, _261230, _261232] : [-(dim(_261232, _261228) = dim(_261230, _261226)), _261232 = _261230, _261228 = _261226], (120 ^ _257428) ^ [_261557, _261559] : [_261559 = _261557, -(inv(_261559) = inv(_261557))], (126 ^ _257428) ^ [_261803, _261805, _261807, _261809] : [-(tptp_msub(_261809, _261805) = tptp_msub(_261807, _261803)), _261809 = _261807, _261805 = _261803], (136 ^ _257428) ^ [_262162, _262164, _262166, _262168] : [-(tptp_madd(_262168, _262164) = tptp_madd(_262166, _262162)), _262168 = _262166, _262164 = _262162], (146 ^ _257428) ^ [_262521, _262523, _262525, _262527] : [-(tptp_mmul(_262527, _262523) = tptp_mmul(_262525, _262521)), _262527 = _262525, _262523 = _262521], (156 ^ _257428) ^ [_262852, _262854] : [_262854 = _262852, -(trans(_262854) = trans(_262852))], (162 ^ _257428) ^ [_263126, _263128, _263130, _263132, _263134, _263136] : [-(sum(_263136, _263132, _263128) = sum(_263134, _263130, _263126)), _263136 = _263134, _263132 = _263130, _263128 = _263126], (176 ^ _257428) ^ [_263614, _263616, _263618, _263620] : [-(plus(_263620, _263616) = plus(_263618, _263614)), _263620 = _263618, _263616 = _263614], (186 ^ _257428) ^ [_263945, _263947] : [_263947 = _263945, -(pred(_263947) = pred(_263945))], (192 ^ _257428) ^ [_264247, _264249, _264251, _264253, _264255, _264257, _264259, _264261] : [-(tptp_update3(_264261, _264257, _264253, _264249) = tptp_update3(_264259, _264255, _264251, _264247)), _264261 = _264259, _264257 = _264255, _264253 = _264251, _264249 = _264247], (210 ^ _257428) ^ [_264880, _264882, _264884, _264886] : [-(a_select2(_264886, _264882) = a_select2(_264884, _264880)), _264886 = _264884, _264882 = _264880], (220 ^ _257428) ^ [_265267, _265269, _265271, _265273, _265275, _265277] : [-(tptp_update2(_265277, _265273, _265269) = tptp_update2(_265275, _265271, _265267)), _265277 = _265275, _265273 = _265271, _265269 = _265267], (234 ^ _257428) ^ [_265727, _265729] : [_265729 = _265727, -(succ(_265729) = succ(_265727))], (240 ^ _257428) ^ [_265973, _265975, _265977, _265979] : [-(minus(_265979, _265975) = minus(_265977, _265973)), _265979 = _265977, _265975 = _265973], (250 ^ _257428) ^ [_266340, _266342, _266344, _266346, _266348, _266350] : [-(a_select3(_266350, _266346, _266342) = a_select3(_266348, _266344, _266340)), _266350 = _266348, _266346 = _266344, _266342 = _266340], (869 ^ _257428) ^ [] : [-(gt(n5, n4))], (871 ^ _257428) ^ [] : [-(gt(n6, n4))], (873 ^ _257428) ^ [] : [-(gt(n999, n4))], (875 ^ _257428) ^ [] : [-(gt(n6, n5))], (877 ^ _257428) ^ [] : [-(gt(n999, n5))], (879 ^ _257428) ^ [] : [-(gt(n999, n6))], (881 ^ _257428) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _257428) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _257428) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _257428) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _257428) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _257428) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _257428) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _257428) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _257428) ^ [] : [-(gt(n4, n0))], (899 ^ _257428) ^ [] : [-(gt(n5, n0))], (901 ^ _257428) ^ [] : [-(gt(n6, n0))], (903 ^ _257428) ^ [] : [-(gt(n999, n0))], (905 ^ _257428) ^ [] : [-(gt(n1, n0))], (907 ^ _257428) ^ [] : [-(gt(n2, n0))], (909 ^ _257428) ^ [] : [-(gt(n3, n0))], (911 ^ _257428) ^ [] : [-(gt(n4, n1))], (913 ^ _257428) ^ [] : [-(gt(n5, n1))], (915 ^ _257428) ^ [] : [-(gt(n6, n1))], (917 ^ _257428) ^ [] : [-(gt(n999, n1))], (919 ^ _257428) ^ [] : [-(gt(n2, n1))], (921 ^ _257428) ^ [] : [-(gt(n3, n1))], (923 ^ _257428) ^ [] : [-(gt(n4, n2))], (925 ^ _257428) ^ [] : [-(gt(n5, n2))], (927 ^ _257428) ^ [] : [-(gt(n6, n2))], (929 ^ _257428) ^ [] : [-(gt(n999, n2))], (931 ^ _257428) ^ [] : [-(gt(n3, n2))], (933 ^ _257428) ^ [] : [-(gt(n4, n3))], (935 ^ _257428) ^ [] : [-(gt(n5, n3))], (937 ^ _257428) ^ [] : [-(gt(n6, n3))], (939 ^ _257428) ^ [] : [-(gt(n999, n3))], (941 ^ _257428) ^ [_294733] : [leq(n0, _294733), leq(_294733, n4), -(_294733 = n0), -(_294733 = n1), -(_294733 = n2), -(_294733 = n3), -(_294733 = n4)], (967 ^ _257428) ^ [_295354] : [leq(n0, _295354), leq(_295354, n5), -(_295354 = n0), -(_295354 = n1), -(_295354 = n2), -(_295354 = n3), -(_295354 = n4), -(_295354 = n5)], (997 ^ _257428) ^ [_296061] : [leq(n0, _296061), leq(_296061, n6), -(_296061 = n0), -(_296061 = n1), -(_296061 = n2), -(_296061 = n3), -(_296061 = n4), -(_296061 = n5), -(_296061 = n6)], (1031 ^ _257428) ^ [_296854] : [-(_296854 = n0), leq(n0, _296854), leq(_296854, n0)], (1041 ^ _257428) ^ [_297129] : [leq(n0, _297129), leq(_297129, n1), -(_297129 = n0), -(_297129 = n1)], (1055 ^ _257428) ^ [_297492] : [leq(n0, _297492), leq(_297492, n2), -(_297492 = n0), -(_297492 = n1), -(_297492 = n2)], (1095 ^ _257428) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _257428) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _257428) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _257428) ^ [] : [-(succ(n0) = n1)], (1103 ^ _257428) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _257428) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _257428) ^ [_297941] : [leq(n0, _297941), leq(_297941, n3), -(_297941 = n0), -(_297941 = n1), -(_297941 = n2), -(_297941 = n3)], (264 ^ _257428) ^ [_266900, _266902] : [-(gt(_266902, _266900)), -(gt(_266900, _266902)), -(_266902 = _266900)], (274 ^ _257428) ^ [_267215, _267217, _267219] : [-(gt(_267219, _267215)), gt(_267219, _267217), gt(_267217, _267215)], (284 ^ _257428) ^ [_267494] : [gt(_267494, _267494)], (286 ^ _257428) ^ [_267572] : [-(leq(_267572, _267572))], (288 ^ _257428) ^ [_267693, _267695, _267697] : [-(leq(_267697, _267693)), leq(_267697, _267695), leq(_267695, _267693)], (298 ^ _257428) ^ [_268031, _268033] : [lt(_268033, _268031), -(gt(_268031, _268033))], (304 ^ _257428) ^ [_268193, _268195] : [gt(_268193, _268195), -(lt(_268195, _268193))], (310 ^ _257428) ^ [_268434, _268436] : [geq(_268436, _268434), -(leq(_268434, _268436))], (316 ^ _257428) ^ [_268596, _268598] : [leq(_268596, _268598), -(geq(_268598, _268596))], (322 ^ _257428) ^ [_268808, _268810] : [gt(_268808, _268810), -(leq(_268810, _268808))], (328 ^ _257428) ^ [_269018, _269020] : [-(gt(_269018, _269020)), leq(_269020, _269018), -(_269020 = _269018)], (338 ^ _257428) ^ [_269349, _269351] : [leq(_269351, pred(_269349)), -(gt(_269349, _269351))], (344 ^ _257428) ^ [_269515, _269517] : [gt(_269515, _269517), -(leq(_269517, pred(_269515)))], (350 ^ _257428) ^ [_269702] : [-(gt(succ(_269702), _269702))], (352 ^ _257428) ^ [_269811, _269813] : [leq(_269813, _269811), -(leq(_269813, succ(_269811)))], (358 ^ _257428) ^ [_270054, _270056] : [leq(_270056, _270054), -(gt(succ(_270054), _270056))], (364 ^ _257428) ^ [_270220, _270222] : [gt(succ(_270220), _270222), -(leq(_270222, _270220))], (370 ^ _257428) ^ [_270436, _270438] : [leq(n0, _270438), -(leq(uniform_int_rnd(_270436, _270438), _270438))], (376 ^ _257428) ^ [_270652, _270654] : [leq(n0, _270654), -(leq(n0, uniform_int_rnd(_270652, _270654)))], (382 ^ _257428) ^ [_270896, _270898, _270900, _270902] : [-(a_select2(tptp_const_array1(dim(_270900, _270898), _270896), _270902) = _270896), leq(_270900, _270902), leq(_270902, _270898)], (392 ^ _257428) ^ [_271303, _271305, _271307, _271309, _271311, _271313, _271315] : [-(a_select3(tptp_const_array2(dim(_271313, _271311), dim(_271307, _271305), _271303), _271315, _271309) = _271303), leq(_271313, _271315), leq(_271315, _271311), leq(_271307, _271309), leq(_271309, _271305)], (410 ^ _257428) ^ [_271898, _271900] : [413 ^ _257428 : [(414 ^ _257428) ^ [] : [-(leq(n0, 411 ^ [_271898, _271900]))], (416 ^ _257428) ^ [] : [-(leq(411 ^ [_271898, _271900], _271898))], (418 ^ _257428) ^ [] : [-(leq(n0, 412 ^ [_271898, _271900]))], (420 ^ _257428) ^ [] : [-(leq(412 ^ [_271898, _271900], _271898))], (422 ^ _257428) ^ [] : [a_select3(_271900, 411 ^ [_271898, _271900], 412 ^ [_271898, _271900]) = a_select3(_271900, 412 ^ [_271898, _271900], 411 ^ [_271898, _271900])]], 423 ^ _257428 : [(424 ^ _257428) ^ [_272655, _272657] : [-(a_select3(trans(_271900), _272657, _272655) = a_select3(trans(_271900), _272655, _272657)), leq(n0, _272657), leq(_272657, _271898), leq(n0, _272655), leq(_272655, _271898)]]], (442 ^ _257428) ^ [_273202, _273204] : [445 ^ _257428 : [(446 ^ _257428) ^ [] : [-(leq(n0, 443 ^ [_273202, _273204]))], (448 ^ _257428) ^ [] : [-(leq(443 ^ [_273202, _273204], _273202))], (450 ^ _257428) ^ [] : [-(leq(n0, 444 ^ [_273202, _273204]))], (452 ^ _257428) ^ [] : [-(leq(444 ^ [_273202, _273204], _273202))], (454 ^ _257428) ^ [] : [a_select3(_273204, 443 ^ [_273202, _273204], 444 ^ [_273202, _273204]) = a_select3(_273204, 444 ^ [_273202, _273204], 443 ^ [_273202, _273204])]], 455 ^ _257428 : [(456 ^ _257428) ^ [_273959, _273961] : [-(a_select3(inv(_273204), _273961, _273959) = a_select3(inv(_273204), _273959, _273961)), leq(n0, _273961), leq(_273961, _273202), leq(n0, _273959), leq(_273959, _273202)]]], (474 ^ _257428) ^ [_274506, _274508] : [477 ^ _257428 : [(478 ^ _257428) ^ [] : [-(leq(n0, 475 ^ [_274506, _274508]))], (480 ^ _257428) ^ [] : [-(leq(475 ^ [_274506, _274508], _274506))], (482 ^ _257428) ^ [] : [-(leq(n0, 476 ^ [_274506, _274508]))], (484 ^ _257428) ^ [] : [-(leq(476 ^ [_274506, _274508], _274506))], (486 ^ _257428) ^ [] : [a_select3(_274508, 475 ^ [_274506, _274508], 476 ^ [_274506, _274508]) = a_select3(_274508, 476 ^ [_274506, _274508], 475 ^ [_274506, _274508])]], 487 ^ _257428 : [(488 ^ _257428) ^ [_275319, _275321, _275323, _275325] : [-(a_select3(tptp_update3(_274508, _275321, _275321, _275319), _275325, _275323) = a_select3(tptp_update3(_274508, _275321, _275321, _275319), _275323, _275325)), leq(n0, _275325), leq(_275325, _274506), leq(n0, _275323), leq(_275323, _274506), leq(n0, _275321), leq(_275321, _274506)]]], (514 ^ _257428) ^ [_276138, _276140, _276142] : [519 ^ _257428 : [(520 ^ _257428) ^ [] : [-(leq(n0, 517 ^ [_276138, _276140, _276142]))], (522 ^ _257428) ^ [] : [-(leq(517 ^ [_276138, _276140, _276142], _276138))], (524 ^ _257428) ^ [] : [-(leq(n0, 518 ^ [_276138, _276140, _276142]))], (526 ^ _257428) ^ [] : [-(leq(518 ^ [_276138, _276140, _276142], _276138))], (528 ^ _257428) ^ [] : [a_select3(_276142, 517 ^ [_276138, _276140, _276142], 518 ^ [_276138, _276140, _276142]) = a_select3(_276142, 518 ^ [_276138, _276140, _276142], 517 ^ [_276138, _276140, _276142])]], 531 ^ _257428 : [(532 ^ _257428) ^ [] : [-(leq(n0, 529 ^ [_276138, _276140, _276142]))], (534 ^ _257428) ^ [] : [-(leq(529 ^ [_276138, _276140, _276142], _276138))], (536 ^ _257428) ^ [] : [-(leq(n0, 530 ^ [_276138, _276140, _276142]))], (538 ^ _257428) ^ [] : [-(leq(530 ^ [_276138, _276140, _276142], _276138))], (540 ^ _257428) ^ [] : [a_select3(_276140, 529 ^ [_276138, _276140, _276142], 530 ^ [_276138, _276140, _276142]) = a_select3(_276140, 530 ^ [_276138, _276140, _276142], 529 ^ [_276138, _276140, _276142])]], 541 ^ _257428 : [(542 ^ _257428) ^ [_277647, _277649] : [-(a_select3(tptp_madd(_276142, _276140), _277649, _277647) = a_select3(tptp_madd(_276142, _276140), _277647, _277649)), leq(n0, _277649), leq(_277649, _276138), leq(n0, _277647), leq(_277647, _276138)]]], (560 ^ _257428) ^ [_278233, _278235, _278237] : [565 ^ _257428 : [(566 ^ _257428) ^ [] : [-(leq(n0, 563 ^ [_278233, _278235, _278237]))], (568 ^ _257428) ^ [] : [-(leq(563 ^ [_278233, _278235, _278237], _278233))], (570 ^ _257428) ^ [] : [-(leq(n0, 564 ^ [_278233, _278235, _278237]))], (572 ^ _257428) ^ [] : [-(leq(564 ^ [_278233, _278235, _278237], _278233))], (574 ^ _257428) ^ [] : [a_select3(_278237, 563 ^ [_278233, _278235, _278237], 564 ^ [_278233, _278235, _278237]) = a_select3(_278237, 564 ^ [_278233, _278235, _278237], 563 ^ [_278233, _278235, _278237])]], 577 ^ _257428 : [(578 ^ _257428) ^ [] : [-(leq(n0, 575 ^ [_278233, _278235, _278237]))], (580 ^ _257428) ^ [] : [-(leq(575 ^ [_278233, _278235, _278237], _278233))], (582 ^ _257428) ^ [] : [-(leq(n0, 576 ^ [_278233, _278235, _278237]))], (584 ^ _257428) ^ [] : [-(leq(576 ^ [_278233, _278235, _278237], _278233))], (586 ^ _257428) ^ [] : [a_select3(_278235, 575 ^ [_278233, _278235, _278237], 576 ^ [_278233, _278235, _278237]) = a_select3(_278235, 576 ^ [_278233, _278235, _278237], 575 ^ [_278233, _278235, _278237])]], 587 ^ _257428 : [(588 ^ _257428) ^ [_279742, _279744] : [-(a_select3(tptp_msub(_278237, _278235), _279744, _279742) = a_select3(tptp_msub(_278237, _278235), _279742, _279744)), leq(n0, _279744), leq(_279744, _278233), leq(n0, _279742), leq(_279742, _278233)]]], (606 ^ _257428) ^ [_280328, _280330, _280332] : [609 ^ _257428 : [(610 ^ _257428) ^ [] : [-(leq(n0, 607 ^ [_280328, _280330, _280332]))], (612 ^ _257428) ^ [] : [-(leq(607 ^ [_280328, _280330, _280332], _280328))], (614 ^ _257428) ^ [] : [-(leq(n0, 608 ^ [_280328, _280330, _280332]))], (616 ^ _257428) ^ [] : [-(leq(608 ^ [_280328, _280330, _280332], _280328))], (618 ^ _257428) ^ [] : [a_select3(_280330, 607 ^ [_280328, _280330, _280332], 608 ^ [_280328, _280330, _280332]) = a_select3(_280330, 608 ^ [_280328, _280330, _280332], 607 ^ [_280328, _280330, _280332])]], 619 ^ _257428 : [(620 ^ _257428) ^ [_281141, _281143] : [-(a_select3(tptp_mmul(_280332, tptp_mmul(_280330, trans(_280332))), _281143, _281141) = a_select3(tptp_mmul(_280332, tptp_mmul(_280330, trans(_280332))), _281141, _281143)), leq(n0, _281143), leq(_281143, _280328), leq(n0, _281141), leq(_281141, _280328)]]], (638 ^ _257428) ^ [_281760, _281762, _281764, _281766] : [641 ^ _257428 : [(642 ^ _257428) ^ [] : [-(leq(n0, 639 ^ [_281760, _281762, _281764, _281766]))], (644 ^ _257428) ^ [] : [-(leq(639 ^ [_281760, _281762, _281764, _281766], _281760))], (646 ^ _257428) ^ [] : [-(leq(n0, 640 ^ [_281760, _281762, _281764, _281766]))], (648 ^ _257428) ^ [] : [-(leq(640 ^ [_281760, _281762, _281764, _281766], _281760))], (650 ^ _257428) ^ [] : [a_select3(_281764, 639 ^ [_281760, _281762, _281764, _281766], 640 ^ [_281760, _281762, _281764, _281766]) = a_select3(_281764, 640 ^ [_281760, _281762, _281764, _281766], 639 ^ [_281760, _281762, _281764, _281766])]], 651 ^ _257428 : [(652 ^ _257428) ^ [_282617, _282619] : [-(a_select3(tptp_mmul(_281766, tptp_mmul(_281764, trans(_281766))), _282619, _282617) = a_select3(tptp_mmul(_281766, tptp_mmul(_281764, trans(_281766))), _282617, _282619)), leq(n0, _282619), leq(_282619, _281762), leq(n0, _282617), leq(_282617, _281762)]]], (670 ^ _257428) ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326] : [675 ^ _257428 : [(676 ^ _257428) ^ [] : [-(leq(n0, 673 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (678 ^ _257428) ^ [] : [-(leq(673 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283312))], (680 ^ _257428) ^ [] : [-(leq(n0, 674 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (682 ^ _257428) ^ [] : [-(leq(674 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283312))], (684 ^ _257428) ^ [] : [a_select3(_283320, 673 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 674 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]) = a_select3(_283320, 674 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 673 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326])]], 689 ^ _257428 : [(690 ^ _257428) ^ [] : [-(leq(n0, 687 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (692 ^ _257428) ^ [] : [-(leq(687 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283314))], (694 ^ _257428) ^ [] : [-(leq(n0, 688 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (696 ^ _257428) ^ [] : [-(leq(688 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283314))], (698 ^ _257428) ^ [] : [a_select3(_283326, 687 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 688 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]) = a_select3(_283326, 688 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 687 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326])]], 701 ^ _257428 : [(702 ^ _257428) ^ [] : [-(leq(n0, 699 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (704 ^ _257428) ^ [] : [-(leq(699 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283314))], (706 ^ _257428) ^ [] : [-(leq(n0, 700 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]))], (708 ^ _257428) ^ [] : [-(leq(700 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], _283314))], (710 ^ _257428) ^ [] : [a_select3(_283316, 699 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 700 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326]) = a_select3(_283316, 700 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326], 699 ^ [_283312, _283314, _283316, _283318, _283320, _283322, _283324, _283326])]], 711 ^ _257428 : [(712 ^ _257428) ^ [_286240, _286242] : [-(a_select3(tptp_madd(_283326, tptp_mmul(_283324, tptp_mmul(tptp_madd(tptp_mmul(_283322, tptp_mmul(_283320, trans(_283322))), tptp_mmul(_283318, tptp_mmul(_283316, trans(_283318)))), trans(_283324)))), _286242, _286240) = a_select3(tptp_madd(_283326, tptp_mmul(_283324, tptp_mmul(tptp_madd(tptp_mmul(_283322, tptp_mmul(_283320, trans(_283322))), tptp_mmul(_283318, tptp_mmul(_283316, trans(_283318)))), trans(_283324)))), _286240, _286242)), leq(n0, _286242), leq(_286242, _283314), leq(n0, _286240), leq(_286240, _283314)]]], (730 ^ _257428) ^ [_286993] : [-(sum(n0, tptp_minus_1, _286993) = n0)], (732 ^ _257428) ^ [_287075] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _287075))], (734 ^ _257428) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _257428) ^ [_287210] : [-(plus(_287210, n1) = succ(_287210))], (738 ^ _257428) ^ [_287293] : [-(plus(n1, _287293) = succ(_287293))], (740 ^ _257428) ^ [_287376] : [-(plus(_287376, n2) = succ(succ(_287376)))], (742 ^ _257428) ^ [_287461] : [-(plus(n2, _287461) = succ(succ(_287461)))], (744 ^ _257428) ^ [_287546] : [-(plus(_287546, n3) = succ(succ(succ(_287546))))], (746 ^ _257428) ^ [_287633] : [-(plus(n3, _287633) = succ(succ(succ(_287633))))], (748 ^ _257428) ^ [_287720] : [-(plus(_287720, n4) = succ(succ(succ(succ(_287720)))))], (750 ^ _257428) ^ [_287809] : [-(plus(n4, _287809) = succ(succ(succ(succ(_287809)))))], (752 ^ _257428) ^ [_287898] : [-(plus(_287898, n5) = succ(succ(succ(succ(succ(_287898))))))], (754 ^ _257428) ^ [_287989] : [-(plus(n5, _287989) = succ(succ(succ(succ(succ(_287989))))))], (756 ^ _257428) ^ [_288080] : [-(minus(_288080, n1) = pred(_288080))], (758 ^ _257428) ^ [_288163] : [-(pred(succ(_288163)) = _288163)], (760 ^ _257428) ^ [_288245] : [-(succ(pred(_288245)) = _288245)], (762 ^ _257428) ^ [_288385, _288387] : [leq(succ(_288387), succ(_288385)), -(leq(_288387, _288385))], (768 ^ _257428) ^ [_288555, _288557] : [leq(_288557, _288555), -(leq(succ(_288557), succ(_288555)))], (774 ^ _257428) ^ [_288775, _288777] : [leq(succ(_288777), _288775), -(gt(_288775, _288777))], (780 ^ _257428) ^ [_288989, _288991] : [leq(minus(_288991, _288989), _288991), -(leq(n0, _288989))], (786 ^ _257428) ^ [_289218, _289220, _289222, _289224] : [-(a_select3(tptp_update3(_289224, _289222, _289220, _289218), _289222, _289220) = _289218)], (788 ^ _257428) ^ [_289410, _289412, _289414, _289416, _289418, _289420, _289422] : [-(a_select3(tptp_update3(_289414, _289422, _289420, _289410), _289418, _289416) = _289412), -(_289422 = _289418), _289420 = _289416, a_select3(_289414, _289418, _289416) = _289412], (802 ^ _257428) ^ [_289953, _289955, _289957, _289959, _289961, _289963] : [-(a_select3(tptp_update3(_289955, _289959, _289957, _289953), _289963, _289961) = _289953), 807 ^ _257428 : [(808 ^ _257428) ^ [] : [-(leq(n0, 805 ^ [_289953, _289955, _289957, _289959, _289961, _289963]))], (810 ^ _257428) ^ [] : [-(leq(n0, 806 ^ [_289953, _289955, _289957, _289959, _289961, _289963]))], (812 ^ _257428) ^ [] : [-(leq(805 ^ [_289953, _289955, _289957, _289959, _289961, _289963], _289959))], (814 ^ _257428) ^ [] : [-(leq(806 ^ [_289953, _289955, _289957, _289959, _289961, _289963], _289957))], (816 ^ _257428) ^ [] : [a_select3(_289955, 805 ^ [_289953, _289955, _289957, _289959, _289961, _289963], 806 ^ [_289953, _289955, _289957, _289959, _289961, _289963]) = _289953]], leq(n0, _289963), leq(_289963, _289959), leq(n0, _289961), leq(_289961, _289957)], (834 ^ _257428) ^ [_291295, _291297, _291299] : [-(a_select2(tptp_update2(_291299, _291297, _291295), _291297) = _291295)], (836 ^ _257428) ^ [_291455, _291457, _291459, _291461, _291463] : [-(a_select2(tptp_update2(_291459, _291463, _291455), _291461) = _291457), -(_291463 = _291461), a_select2(_291459, _291461) = _291457], (865 ^ _257428) ^ [] : [-(true)], (867 ^ _257428) ^ [] : [def = use], (846 ^ _257428) ^ [_291835, _291837, _291839, _291841] : [-(a_select2(tptp_update2(_291837, _291839, _291835), _291841) = _291835), 850 ^ _257428 : [(851 ^ _257428) ^ [] : [-(leq(n0, 849 ^ [_291835, _291837, _291839, _291841]))], (853 ^ _257428) ^ [] : [-(leq(849 ^ [_291835, _291837, _291839, _291841], _291839))], (855 ^ _257428) ^ [] : [a_select2(_291837, 849 ^ [_291835, _291837, _291839, _291841]) = _291835]], leq(n0, _291841), leq(_291841, _291839)]], input).
% 0.38/1.40  ncf('1',plain,[leq(n0, pv5), leq(pv5, minus(n999, n1)), 1221 : a_select3(q_ds1_filter, 1210 ^ [], 1211 ^ []) = a_select3(q_ds1_filter, 1211 ^ [], 1210 ^ []), 1235 : a_select3(r_ds1_filter, 1224 ^ [], 1225 ^ []) = a_select3(r_ds1_filter, 1225 ^ [], 1224 ^ []), 1249 : a_select3(pminus_ds1_filter, 1238 ^ [], 1239 ^ []) = a_select3(pminus_ds1_filter, 1239 ^ [], 1238 ^ []), 1263 : a_select3(pminus_ds1_filter, 1252 ^ [], 1253 ^ []) = a_select3(pminus_ds1_filter, 1253 ^ [], 1252 ^ []), 1275 : a_select3(id_ds1_filter, 1264 ^ [], 1269 ^ []) = a_select3(id_ds1_filter, 1269 ^ [], 1264 ^ [])],start(1201 ^ 0)).
% 0.38/1.40  ncf('1.1',plain,[-(leq(n0, pv5))],extension(1107 ^ 1)).
% 0.38/1.40  ncf('1.2',plain,[-(leq(pv5, minus(n999, n1)))],extension(1109 ^ 1)).
% 0.38/1.40  ncf('1.3',plain,[-(a_select3(q_ds1_filter, 1210 ^ [], 1211 ^ []) = a_select3(q_ds1_filter, 1211 ^ [], 1210 ^ [])), leq(n0, 1210 ^ []), leq(n0, 1211 ^ []), leq(1210 ^ [], minus(n6, n1)), leq(1211 ^ [], minus(n6, n1))],extension(1111 ^ 3,bind([[_299176, _299178], [1211 ^ [], 1210 ^ []]]))).
% 0.38/1.40  ncf('1.3.1',plain,[-(leq(n0, 1210 ^ []))],extension(1213 ^ 4)).
% 0.38/1.40  ncf('1.3.2',plain,[-(leq(n0, 1211 ^ []))],extension(1215 ^ 4)).
% 0.38/1.40  ncf('1.3.3',plain,[-(leq(1210 ^ [], minus(n6, n1)))],extension(1217 ^ 4)).
% 0.38/1.40  ncf('1.3.4',plain,[-(leq(1211 ^ [], minus(n6, n1)))],extension(1219 ^ 4)).
% 0.38/1.40  ncf('1.4',plain,[-(a_select3(r_ds1_filter, 1224 ^ [], 1225 ^ []) = a_select3(r_ds1_filter, 1225 ^ [], 1224 ^ [])), leq(n0, 1224 ^ []), leq(n0, 1225 ^ []), leq(1224 ^ [], minus(n3, n1)), leq(1225 ^ [], minus(n3, n1))],extension(1129 ^ 3,bind([[_299669, _299671], [1225 ^ [], 1224 ^ []]]))).
% 0.38/1.40  ncf('1.4.1',plain,[-(leq(n0, 1224 ^ []))],extension(1227 ^ 4)).
% 0.38/1.40  ncf('1.4.2',plain,[-(leq(n0, 1225 ^ []))],extension(1229 ^ 4)).
% 0.38/1.40  ncf('1.4.3',plain,[-(leq(1224 ^ [], minus(n3, n1)))],extension(1231 ^ 4)).
% 0.38/1.40  ncf('1.4.4',plain,[-(leq(1225 ^ [], minus(n3, n1)))],extension(1233 ^ 4)).
% 0.38/1.40  ncf('1.5',plain,[-(a_select3(pminus_ds1_filter, 1238 ^ [], 1239 ^ []) = a_select3(pminus_ds1_filter, 1239 ^ [], 1238 ^ [])), leq(n0, 1238 ^ []), leq(n0, 1239 ^ []), leq(1238 ^ [], minus(n6, n1)), leq(1239 ^ [], minus(n6, n1))],extension(1147 ^ 3,bind([[_300162, _300164], [1239 ^ [], 1238 ^ []]]))).
% 0.38/1.40  ncf('1.5.1',plain,[-(leq(n0, 1238 ^ []))],extension(1241 ^ 4)).
% 0.38/1.40  ncf('1.5.2',plain,[-(leq(n0, 1239 ^ []))],extension(1243 ^ 4)).
% 0.38/1.40  ncf('1.5.3',plain,[-(leq(1238 ^ [], minus(n6, n1)))],extension(1245 ^ 4)).
% 0.38/1.40  ncf('1.5.4',plain,[-(leq(1239 ^ [], minus(n6, n1)))],extension(1247 ^ 4)).
% 0.38/1.40  ncf('1.6',plain,[-(a_select3(pminus_ds1_filter, 1252 ^ [], 1253 ^ []) = a_select3(pminus_ds1_filter, 1253 ^ [], 1252 ^ [])), leq(n0, 1252 ^ []), leq(n0, 1253 ^ []), leq(1252 ^ [], minus(n6, n1)), leq(1253 ^ [], minus(n6, n1))],extension(1147 ^ 3,bind([[_300162, _300164], [1253 ^ [], 1252 ^ []]]))).
% 0.38/1.40  ncf('1.6.1',plain,[-(leq(n0, 1252 ^ []))],extension(1255 ^ 4)).
% 0.38/1.40  ncf('1.6.2',plain,[-(leq(n0, 1253 ^ []))],extension(1257 ^ 4)).
% 0.38/1.40  ncf('1.6.3',plain,[-(leq(1252 ^ [], minus(n6, n1)))],extension(1259 ^ 4)).
% 0.38/1.40  ncf('1.6.4',plain,[-(leq(1253 ^ [], minus(n6, n1)))],extension(1261 ^ 4)).
% 0.38/1.40  ncf('1.7',plain,[-(a_select3(id_ds1_filter, 1264 ^ [], 1269 ^ []) = a_select3(id_ds1_filter, 1269 ^ [], 1264 ^ [])), 1191 : leq(n0, 1269 ^ []), 1191 : leq(1269 ^ [], minus(n6, n1)), 1191 : leq(n0, 1264 ^ []), 1191 : leq(1264 ^ [], minus(n6, n1))],extension(1183 ^ 3,bind([[_301114, _301346], [1264 ^ [], 1269 ^ []]]))).
% 0.38/1.40  ncf('1.7.1',plain,[-(leq(n0, 1269 ^ []))],extension(1271 ^ 6)).
% 0.38/1.40  ncf('1.7.2',plain,[-(leq(1269 ^ [], minus(n6, n1)))],extension(1273 ^ 6)).
% 0.38/1.40  ncf('1.7.3',plain,[-(leq(n0, 1264 ^ []))],extension(1266 ^ 4)).
% 0.38/1.40  ncf('1.7.4',plain,[-(leq(1264 ^ [], minus(n6, n1)))],extension(1268 ^ 4)).
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------