%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV109+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 0.36s 1.39s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV109+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 02:16:45 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.36/1.39  
% 0.36/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.39  %-----------------------------------------------------
% 0.36/1.39  ncf(matrix, plain, [(1205 ^ _258172) ^ [] : [leq(n0, pv5), leq(pv5, minus(n999, n1)), 1216 ^ _258172 : [(1217 ^ _258172) ^ [] : [-(leq(n0, 1214 ^ []))], (1219 ^ _258172) ^ [] : [-(leq(n0, 1215 ^ []))], (1221 ^ _258172) ^ [] : [-(leq(1214 ^ [], minus(n6, n1)))], (1223 ^ _258172) ^ [] : [-(leq(1215 ^ [], minus(n6, n1)))], (1225 ^ _258172) ^ [] : [a_select3(q_ds1_filter, 1214 ^ [], 1215 ^ []) = a_select3(q_ds1_filter, 1215 ^ [], 1214 ^ [])]], 1230 ^ _258172 : [(1231 ^ _258172) ^ [] : [-(leq(n0, 1228 ^ []))], (1233 ^ _258172) ^ [] : [-(leq(n0, 1229 ^ []))], (1235 ^ _258172) ^ [] : [-(leq(1228 ^ [], minus(n3, n1)))], (1237 ^ _258172) ^ [] : [-(leq(1229 ^ [], minus(n3, n1)))], (1239 ^ _258172) ^ [] : [a_select3(r_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(r_ds1_filter, 1229 ^ [], 1228 ^ [])]], 1244 ^ _258172 : [(1245 ^ _258172) ^ [] : [-(leq(n0, 1242 ^ []))], (1247 ^ _258172) ^ [] : [-(leq(n0, 1243 ^ []))], (1249 ^ _258172) ^ [] : [-(leq(1242 ^ [], minus(n6, n1)))], (1251 ^ _258172) ^ [] : [-(leq(1243 ^ [], minus(n6, n1)))], (1253 ^ _258172) ^ [] : [a_select3(pminus_ds1_filter, 1242 ^ [], 1243 ^ []) = a_select3(pminus_ds1_filter, 1243 ^ [], 1242 ^ [])]], 1258 ^ _258172 : [(1259 ^ _258172) ^ [] : [-(leq(n0, 1256 ^ []))], (1261 ^ _258172) ^ [] : [-(leq(n0, 1257 ^ []))], (1263 ^ _258172) ^ [] : [-(leq(1256 ^ [], minus(n6, n1)))], (1265 ^ _258172) ^ [] : [-(leq(1257 ^ [], minus(n6, n1)))], (1267 ^ _258172) ^ [] : [a_select3(pminus_ds1_filter, 1256 ^ [], 1257 ^ []) = a_select3(pminus_ds1_filter, 1257 ^ [], 1256 ^ [])]], 1269 ^ _258172 : [(1270 ^ _258172) ^ [] : [-(leq(n0, 1268 ^ []))], (1272 ^ _258172) ^ [] : [-(leq(1268 ^ [], minus(n6, n1)))], (1275 ^ _258172) ^ [] : [-(leq(n0, 1273 ^ []))], (1277 ^ _258172) ^ [] : [-(leq(1273 ^ [], minus(n6, n1)))], (1279 ^ _258172) ^ [] : [a_select3(id_ds1_filter, 1268 ^ [], 1273 ^ []) = a_select3(id_ds1_filter, 1273 ^ [], 1268 ^ [])]]], (1107 ^ _258172) ^ [] : [-(leq(n0, pv5))], (1109 ^ _258172) ^ [] : [-(leq(n0, pv47))], (1111 ^ _258172) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1113 ^ _258172) ^ [] : [-(leq(pv47, minus(n6, n1)))], (1115 ^ _258172) ^ [_300026, _300028] : [-(a_select3(q_ds1_filter, _300028, _300026) = a_select3(q_ds1_filter, _300026, _300028)), leq(n0, _300028), leq(n0, _300026), leq(_300028, minus(n6, n1)), leq(_300026, minus(n6, n1))], (1133 ^ _258172) ^ [_300519, _300521] : [-(a_select3(r_ds1_filter, _300521, _300519) = a_select3(r_ds1_filter, _300519, _300521)), leq(n0, _300521), leq(n0, _300519), leq(_300521, minus(n3, n1)), leq(_300519, minus(n3, n1))], (1151 ^ _258172) ^ [_301012, _301014] : [-(a_select3(pminus_ds1_filter, _301014, _301012) = a_select3(pminus_ds1_filter, _301012, _301014)), leq(n0, _301014), leq(n0, _301012), leq(_301014, minus(n6, n1)), leq(_301012, minus(n6, n1))], (1169 ^ _258172) ^ [_301505, _301507] : [-(a_select3(pminus_ds1_filter, _301507, _301505) = a_select3(pminus_ds1_filter, _301505, _301507)), leq(n0, _301507), leq(n0, _301505), leq(_301507, minus(n6, n1)), leq(_301505, minus(n6, n1))], (1187 ^ _258172) ^ [_301964] : [leq(n0, _301964), leq(_301964, minus(n6, n1)), 1194 ^ _258172 : [(1195 ^ _258172) ^ [_302196] : [-(a_select3(id_ds1_filter, _301964, _302196) = a_select3(id_ds1_filter, _302196, _301964)), leq(n0, _302196), leq(_302196, minus(n6, n1))]]], (2 ^ _258172) ^ [_258316] : [-(_258316 = _258316)], (4 ^ _258172) ^ [_258423, _258425] : [_258425 = _258423, -(_258423 = _258425)], (10 ^ _258172) ^ [_258627, _258629, _258631] : [-(_258631 = _258627), _258631 = _258629, _258629 = _258627], (20 ^ _258172) ^ [_258968, _258970, _258972, _258974] : [-(lt(_258972, _258968)), lt(_258974, _258970), _258974 = _258972, _258970 = _258968], (34 ^ _258172) ^ [_259412, _259414, _259416, _259418] : [-(geq(_259416, _259412)), geq(_259418, _259414), _259418 = _259416, _259414 = _259412], (48 ^ _258172) ^ [_259856, _259858, _259860, _259862] : [-(gt(_259860, _259856)), gt(_259862, _259858), _259862 = _259860, _259858 = _259856], (62 ^ _258172) ^ [_260280, _260282, _260284, _260286] : [-(leq(_260284, _260280)), leq(_260286, _260282), _260286 = _260284, _260282 = _260280], (76 ^ _258172) ^ [_260736, _260738, _260740, _260742] : [-(uniform_int_rnd(_260742, _260738) = uniform_int_rnd(_260740, _260736)), _260742 = _260740, _260738 = _260736], (86 ^ _258172) ^ [_261095, _261097, _261099, _261101] : [-(tptp_const_array1(_261101, _261097) = tptp_const_array1(_261099, _261095)), _261101 = _261099, _261097 = _261095], (96 ^ _258172) ^ [_261482, _261484, _261486, _261488, _261490, _261492] : [-(tptp_const_array2(_261492, _261488, _261484) = tptp_const_array2(_261490, _261486, _261482)), _261492 = _261490, _261488 = _261486, _261484 = _261482], (110 ^ _258172) ^ [_261970, _261972, _261974, _261976] : [-(dim(_261976, _261972) = dim(_261974, _261970)), _261976 = _261974, _261972 = _261970], (120 ^ _258172) ^ [_262301, _262303] : [_262303 = _262301, -(inv(_262303) = inv(_262301))], (126 ^ _258172) ^ [_262547, _262549, _262551, _262553] : [-(tptp_msub(_262553, _262549) = tptp_msub(_262551, _262547)), _262553 = _262551, _262549 = _262547], (136 ^ _258172) ^ [_262906, _262908, _262910, _262912] : [-(tptp_madd(_262912, _262908) = tptp_madd(_262910, _262906)), _262912 = _262910, _262908 = _262906], (146 ^ _258172) ^ [_263265, _263267, _263269, _263271] : [-(tptp_mmul(_263271, _263267) = tptp_mmul(_263269, _263265)), _263271 = _263269, _263267 = _263265], (156 ^ _258172) ^ [_263596, _263598] : [_263598 = _263596, -(trans(_263598) = trans(_263596))], (162 ^ _258172) ^ [_263870, _263872, _263874, _263876, _263878, _263880] : [-(sum(_263880, _263876, _263872) = sum(_263878, _263874, _263870)), _263880 = _263878, _263876 = _263874, _263872 = _263870], (176 ^ _258172) ^ [_264358, _264360, _264362, _264364] : [-(plus(_264364, _264360) = plus(_264362, _264358)), _264364 = _264362, _264360 = _264358], (186 ^ _258172) ^ [_264689, _264691] : [_264691 = _264689, -(pred(_264691) = pred(_264689))], (192 ^ _258172) ^ [_264991, _264993, _264995, _264997, _264999, _265001, _265003, _265005] : [-(tptp_update3(_265005, _265001, _264997, _264993) = tptp_update3(_265003, _264999, _264995, _264991)), _265005 = _265003, _265001 = _264999, _264997 = _264995, _264993 = _264991], (210 ^ _258172) ^ [_265624, _265626, _265628, _265630] : [-(a_select2(_265630, _265626) = a_select2(_265628, _265624)), _265630 = _265628, _265626 = _265624], (220 ^ _258172) ^ [_266011, _266013, _266015, _266017, _266019, _266021] : [-(tptp_update2(_266021, _266017, _266013) = tptp_update2(_266019, _266015, _266011)), _266021 = _266019, _266017 = _266015, _266013 = _266011], (234 ^ _258172) ^ [_266471, _266473] : [_266473 = _266471, -(succ(_266473) = succ(_266471))], (240 ^ _258172) ^ [_266717, _266719, _266721, _266723] : [-(minus(_266723, _266719) = minus(_266721, _266717)), _266723 = _266721, _266719 = _266717], (250 ^ _258172) ^ [_267084, _267086, _267088, _267090, _267092, _267094] : [-(a_select3(_267094, _267090, _267086) = a_select3(_267092, _267088, _267084)), _267094 = _267092, _267090 = _267088, _267086 = _267084], (869 ^ _258172) ^ [] : [-(gt(n5, n4))], (871 ^ _258172) ^ [] : [-(gt(n6, n4))], (873 ^ _258172) ^ [] : [-(gt(n999, n4))], (875 ^ _258172) ^ [] : [-(gt(n6, n5))], (877 ^ _258172) ^ [] : [-(gt(n999, n5))], (879 ^ _258172) ^ [] : [-(gt(n999, n6))], (881 ^ _258172) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _258172) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _258172) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _258172) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _258172) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _258172) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _258172) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _258172) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _258172) ^ [] : [-(gt(n4, n0))], (899 ^ _258172) ^ [] : [-(gt(n5, n0))], (901 ^ _258172) ^ [] : [-(gt(n6, n0))], (903 ^ _258172) ^ [] : [-(gt(n999, n0))], (905 ^ _258172) ^ [] : [-(gt(n1, n0))], (907 ^ _258172) ^ [] : [-(gt(n2, n0))], (909 ^ _258172) ^ [] : [-(gt(n3, n0))], (911 ^ _258172) ^ [] : [-(gt(n4, n1))], (913 ^ _258172) ^ [] : [-(gt(n5, n1))], (915 ^ _258172) ^ [] : [-(gt(n6, n1))], (917 ^ _258172) ^ [] : [-(gt(n999, n1))], (919 ^ _258172) ^ [] : [-(gt(n2, n1))], (921 ^ _258172) ^ [] : [-(gt(n3, n1))], (923 ^ _258172) ^ [] : [-(gt(n4, n2))], (925 ^ _258172) ^ [] : [-(gt(n5, n2))], (927 ^ _258172) ^ [] : [-(gt(n6, n2))], (929 ^ _258172) ^ [] : [-(gt(n999, n2))], (931 ^ _258172) ^ [] : [-(gt(n3, n2))], (933 ^ _258172) ^ [] : [-(gt(n4, n3))], (935 ^ _258172) ^ [] : [-(gt(n5, n3))], (937 ^ _258172) ^ [] : [-(gt(n6, n3))], (939 ^ _258172) ^ [] : [-(gt(n999, n3))], (941 ^ _258172) ^ [_295477] : [leq(n0, _295477), leq(_295477, n4), -(_295477 = n0), -(_295477 = n1), -(_295477 = n2), -(_295477 = n3), -(_295477 = n4)], (967 ^ _258172) ^ [_296098] : [leq(n0, _296098), leq(_296098, n5), -(_296098 = n0), -(_296098 = n1), -(_296098 = n2), -(_296098 = n3), -(_296098 = n4), -(_296098 = n5)], (997 ^ _258172) ^ [_296805] : [leq(n0, _296805), leq(_296805, n6), -(_296805 = n0), -(_296805 = n1), -(_296805 = n2), -(_296805 = n3), -(_296805 = n4), -(_296805 = n5), -(_296805 = n6)], (1031 ^ _258172) ^ [_297598] : [-(_297598 = n0), leq(n0, _297598), leq(_297598, n0)], (1041 ^ _258172) ^ [_297873] : [leq(n0, _297873), leq(_297873, n1), -(_297873 = n0), -(_297873 = n1)], (1055 ^ _258172) ^ [_298236] : [leq(n0, _298236), leq(_298236, n2), -(_298236 = n0), -(_298236 = n1), -(_298236 = n2)], (1095 ^ _258172) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _258172) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _258172) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _258172) ^ [] : [-(succ(n0) = n1)], (1103 ^ _258172) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _258172) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _258172) ^ [_298685] : [leq(n0, _298685), leq(_298685, n3), -(_298685 = n0), -(_298685 = n1), -(_298685 = n2), -(_298685 = n3)], (264 ^ _258172) ^ [_267644, _267646] : [-(gt(_267646, _267644)), -(gt(_267644, _267646)), -(_267646 = _267644)], (274 ^ _258172) ^ [_267959, _267961, _267963] : [-(gt(_267963, _267959)), gt(_267963, _267961), gt(_267961, _267959)], (284 ^ _258172) ^ [_268238] : [gt(_268238, _268238)], (286 ^ _258172) ^ [_268316] : [-(leq(_268316, _268316))], (288 ^ _258172) ^ [_268437, _268439, _268441] : [-(leq(_268441, _268437)), leq(_268441, _268439), leq(_268439, _268437)], (298 ^ _258172) ^ [_268775, _268777] : [lt(_268777, _268775), -(gt(_268775, _268777))], (304 ^ _258172) ^ [_268937, _268939] : [gt(_268937, _268939), -(lt(_268939, _268937))], (310 ^ _258172) ^ [_269178, _269180] : [geq(_269180, _269178), -(leq(_269178, _269180))], (316 ^ _258172) ^ [_269340, _269342] : [leq(_269340, _269342), -(geq(_269342, _269340))], (322 ^ _258172) ^ [_269552, _269554] : [gt(_269552, _269554), -(leq(_269554, _269552))], (328 ^ _258172) ^ [_269762, _269764] : [-(gt(_269762, _269764)), leq(_269764, _269762), -(_269764 = _269762)], (338 ^ _258172) ^ [_270093, _270095] : [leq(_270095, pred(_270093)), -(gt(_270093, _270095))], (344 ^ _258172) ^ [_270259, _270261] : [gt(_270259, _270261), -(leq(_270261, pred(_270259)))], (350 ^ _258172) ^ [_270446] : [-(gt(succ(_270446), _270446))], (352 ^ _258172) ^ [_270555, _270557] : [leq(_270557, _270555), -(leq(_270557, succ(_270555)))], (358 ^ _258172) ^ [_270798, _270800] : [leq(_270800, _270798), -(gt(succ(_270798), _270800))], (364 ^ _258172) ^ [_270964, _270966] : [gt(succ(_270964), _270966), -(leq(_270966, _270964))], (370 ^ _258172) ^ [_271180, _271182] : [leq(n0, _271182), -(leq(uniform_int_rnd(_271180, _271182), _271182))], (376 ^ _258172) ^ [_271396, _271398] : [leq(n0, _271398), -(leq(n0, uniform_int_rnd(_271396, _271398)))], (382 ^ _258172) ^ [_271640, _271642, _271644, _271646] : [-(a_select2(tptp_const_array1(dim(_271644, _271642), _271640), _271646) = _271640), leq(_271644, _271646), leq(_271646, _271642)], (392 ^ _258172) ^ [_272047, _272049, _272051, _272053, _272055, _272057, _272059] : [-(a_select3(tptp_const_array2(dim(_272057, _272055), dim(_272051, _272049), _272047), _272059, _272053) = _272047), leq(_272057, _272059), leq(_272059, _272055), leq(_272051, _272053), leq(_272053, _272049)], (410 ^ _258172) ^ [_272642, _272644] : [413 ^ _258172 : [(414 ^ _258172) ^ [] : [-(leq(n0, 411 ^ [_272642, _272644]))], (416 ^ _258172) ^ [] : [-(leq(411 ^ [_272642, _272644], _272642))], (418 ^ _258172) ^ [] : [-(leq(n0, 412 ^ [_272642, _272644]))], (420 ^ _258172) ^ [] : [-(leq(412 ^ [_272642, _272644], _272642))], (422 ^ _258172) ^ [] : [a_select3(_272644, 411 ^ [_272642, _272644], 412 ^ [_272642, _272644]) = a_select3(_272644, 412 ^ [_272642, _272644], 411 ^ [_272642, _272644])]], 423 ^ _258172 : [(424 ^ _258172) ^ [_273399, _273401] : [-(a_select3(trans(_272644), _273401, _273399) = a_select3(trans(_272644), _273399, _273401)), leq(n0, _273401), leq(_273401, _272642), leq(n0, _273399), leq(_273399, _272642)]]], (442 ^ _258172) ^ [_273946, _273948] : [445 ^ _258172 : [(446 ^ _258172) ^ [] : [-(leq(n0, 443 ^ [_273946, _273948]))], (448 ^ _258172) ^ [] : [-(leq(443 ^ [_273946, _273948], _273946))], (450 ^ _258172) ^ [] : [-(leq(n0, 444 ^ [_273946, _273948]))], (452 ^ _258172) ^ [] : [-(leq(444 ^ [_273946, _273948], _273946))], (454 ^ _258172) ^ [] : [a_select3(_273948, 443 ^ [_273946, _273948], 444 ^ [_273946, _273948]) = a_select3(_273948, 444 ^ [_273946, _273948], 443 ^ [_273946, _273948])]], 455 ^ _258172 : [(456 ^ _258172) ^ [_274703, _274705] : [-(a_select3(inv(_273948), _274705, _274703) = a_select3(inv(_273948), _274703, _274705)), leq(n0, _274705), leq(_274705, _273946), leq(n0, _274703), leq(_274703, _273946)]]], (474 ^ _258172) ^ [_275250, _275252] : [477 ^ _258172 : [(478 ^ _258172) ^ [] : [-(leq(n0, 475 ^ [_275250, _275252]))], (480 ^ _258172) ^ [] : [-(leq(475 ^ [_275250, _275252], _275250))], (482 ^ _258172) ^ [] : [-(leq(n0, 476 ^ [_275250, _275252]))], (484 ^ _258172) ^ [] : [-(leq(476 ^ [_275250, _275252], _275250))], (486 ^ _258172) ^ [] : [a_select3(_275252, 475 ^ [_275250, _275252], 476 ^ [_275250, _275252]) = a_select3(_275252, 476 ^ [_275250, _275252], 475 ^ [_275250, _275252])]], 487 ^ _258172 : [(488 ^ _258172) ^ [_276063, _276065, _276067, _276069] : [-(a_select3(tptp_update3(_275252, _276065, _276065, _276063), _276069, _276067) = a_select3(tptp_update3(_275252, _276065, _276065, _276063), _276067, _276069)), leq(n0, _276069), leq(_276069, _275250), leq(n0, _276067), leq(_276067, _275250), leq(n0, _276065), leq(_276065, _275250)]]], (514 ^ _258172) ^ [_276882, _276884, _276886] : [519 ^ _258172 : [(520 ^ _258172) ^ [] : [-(leq(n0, 517 ^ [_276882, _276884, _276886]))], (522 ^ _258172) ^ [] : [-(leq(517 ^ [_276882, _276884, _276886], _276882))], (524 ^ _258172) ^ [] : [-(leq(n0, 518 ^ [_276882, _276884, _276886]))], (526 ^ _258172) ^ [] : [-(leq(518 ^ [_276882, _276884, _276886], _276882))], (528 ^ _258172) ^ [] : [a_select3(_276886, 517 ^ [_276882, _276884, _276886], 518 ^ [_276882, _276884, _276886]) = a_select3(_276886, 518 ^ [_276882, _276884, _276886], 517 ^ [_276882, _276884, _276886])]], 531 ^ _258172 : [(532 ^ _258172) ^ [] : [-(leq(n0, 529 ^ [_276882, _276884, _276886]))], (534 ^ _258172) ^ [] : [-(leq(529 ^ [_276882, _276884, _276886], _276882))], (536 ^ _258172) ^ [] : [-(leq(n0, 530 ^ [_276882, _276884, _276886]))], (538 ^ _258172) ^ [] : [-(leq(530 ^ [_276882, _276884, _276886], _276882))], (540 ^ _258172) ^ [] : [a_select3(_276884, 529 ^ [_276882, _276884, _276886], 530 ^ [_276882, _276884, _276886]) = a_select3(_276884, 530 ^ [_276882, _276884, _276886], 529 ^ [_276882, _276884, _276886])]], 541 ^ _258172 : [(542 ^ _258172) ^ [_278391, _278393] : [-(a_select3(tptp_madd(_276886, _276884), _278393, _278391) = a_select3(tptp_madd(_276886, _276884), _278391, _278393)), leq(n0, _278393), leq(_278393, _276882), leq(n0, _278391), leq(_278391, _276882)]]], (560 ^ _258172) ^ [_278977, _278979, _278981] : [565 ^ _258172 : [(566 ^ _258172) ^ [] : [-(leq(n0, 563 ^ [_278977, _278979, _278981]))], (568 ^ _258172) ^ [] : [-(leq(563 ^ [_278977, _278979, _278981], _278977))], (570 ^ _258172) ^ [] : [-(leq(n0, 564 ^ [_278977, _278979, _278981]))], (572 ^ _258172) ^ [] : [-(leq(564 ^ [_278977, _278979, _278981], _278977))], (574 ^ _258172) ^ [] : [a_select3(_278981, 563 ^ [_278977, _278979, _278981], 564 ^ [_278977, _278979, _278981]) = a_select3(_278981, 564 ^ [_278977, _278979, _278981], 563 ^ [_278977, _278979, _278981])]], 577 ^ _258172 : [(578 ^ _258172) ^ [] : [-(leq(n0, 575 ^ [_278977, _278979, _278981]))], (580 ^ _258172) ^ [] : [-(leq(575 ^ [_278977, _278979, _278981], _278977))], (582 ^ _258172) ^ [] : [-(leq(n0, 576 ^ [_278977, _278979, _278981]))], (584 ^ _258172) ^ [] : [-(leq(576 ^ [_278977, _278979, _278981], _278977))], (586 ^ _258172) ^ [] : [a_select3(_278979, 575 ^ [_278977, _278979, _278981], 576 ^ [_278977, _278979, _278981]) = a_select3(_278979, 576 ^ [_278977, _278979, _278981], 575 ^ [_278977, _278979, _278981])]], 587 ^ _258172 : [(588 ^ _258172) ^ [_280486, _280488] : [-(a_select3(tptp_msub(_278981, _278979), _280488, _280486) = a_select3(tptp_msub(_278981, _278979), _280486, _280488)), leq(n0, _280488), leq(_280488, _278977), leq(n0, _280486), leq(_280486, _278977)]]], (606 ^ _258172) ^ [_281072, _281074, _281076] : [609 ^ _258172 : [(610 ^ _258172) ^ [] : [-(leq(n0, 607 ^ [_281072, _281074, _281076]))], (612 ^ _258172) ^ [] : [-(leq(607 ^ [_281072, _281074, _281076], _281072))], (614 ^ _258172) ^ [] : [-(leq(n0, 608 ^ [_281072, _281074, _281076]))], (616 ^ _258172) ^ [] : [-(leq(608 ^ [_281072, _281074, _281076], _281072))], (618 ^ _258172) ^ [] : [a_select3(_281074, 607 ^ [_281072, _281074, _281076], 608 ^ [_281072, _281074, _281076]) = a_select3(_281074, 608 ^ [_281072, _281074, _281076], 607 ^ [_281072, _281074, _281076])]], 619 ^ _258172 : [(620 ^ _258172) ^ [_281885, _281887] : [-(a_select3(tptp_mmul(_281076, tptp_mmul(_281074, trans(_281076))), _281887, _281885) = a_select3(tptp_mmul(_281076, tptp_mmul(_281074, trans(_281076))), _281885, _281887)), leq(n0, _281887), leq(_281887, _281072), leq(n0, _281885), leq(_281885, _281072)]]], (638 ^ _258172) ^ [_282504, _282506, _282508, _282510] : [641 ^ _258172 : [(642 ^ _258172) ^ [] : [-(leq(n0, 639 ^ [_282504, _282506, _282508, _282510]))], (644 ^ _258172) ^ [] : [-(leq(639 ^ [_282504, _282506, _282508, _282510], _282504))], (646 ^ _258172) ^ [] : [-(leq(n0, 640 ^ [_282504, _282506, _282508, _282510]))], (648 ^ _258172) ^ [] : [-(leq(640 ^ [_282504, _282506, _282508, _282510], _282504))], (650 ^ _258172) ^ [] : [a_select3(_282508, 639 ^ [_282504, _282506, _282508, _282510], 640 ^ [_282504, _282506, _282508, _282510]) = a_select3(_282508, 640 ^ [_282504, _282506, _282508, _282510], 639 ^ [_282504, _282506, _282508, _282510])]], 651 ^ _258172 : [(652 ^ _258172) ^ [_283361, _283363] : [-(a_select3(tptp_mmul(_282510, tptp_mmul(_282508, trans(_282510))), _283363, _283361) = a_select3(tptp_mmul(_282510, tptp_mmul(_282508, trans(_282510))), _283361, _283363)), leq(n0, _283363), leq(_283363, _282506), leq(n0, _283361), leq(_283361, _282506)]]], (670 ^ _258172) ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070] : [675 ^ _258172 : [(676 ^ _258172) ^ [] : [-(leq(n0, 673 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (678 ^ _258172) ^ [] : [-(leq(673 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284056))], (680 ^ _258172) ^ [] : [-(leq(n0, 674 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (682 ^ _258172) ^ [] : [-(leq(674 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284056))], (684 ^ _258172) ^ [] : [a_select3(_284064, 673 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 674 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]) = a_select3(_284064, 674 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 673 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070])]], 689 ^ _258172 : [(690 ^ _258172) ^ [] : [-(leq(n0, 687 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (692 ^ _258172) ^ [] : [-(leq(687 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284058))], (694 ^ _258172) ^ [] : [-(leq(n0, 688 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (696 ^ _258172) ^ [] : [-(leq(688 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284058))], (698 ^ _258172) ^ [] : [a_select3(_284070, 687 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 688 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]) = a_select3(_284070, 688 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 687 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070])]], 701 ^ _258172 : [(702 ^ _258172) ^ [] : [-(leq(n0, 699 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (704 ^ _258172) ^ [] : [-(leq(699 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284058))], (706 ^ _258172) ^ [] : [-(leq(n0, 700 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]))], (708 ^ _258172) ^ [] : [-(leq(700 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], _284058))], (710 ^ _258172) ^ [] : [a_select3(_284060, 699 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 700 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070]) = a_select3(_284060, 700 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070], 699 ^ [_284056, _284058, _284060, _284062, _284064, _284066, _284068, _284070])]], 711 ^ _258172 : [(712 ^ _258172) ^ [_286984, _286986] : [-(a_select3(tptp_madd(_284070, tptp_mmul(_284068, tptp_mmul(tptp_madd(tptp_mmul(_284066, tptp_mmul(_284064, trans(_284066))), tptp_mmul(_284062, tptp_mmul(_284060, trans(_284062)))), trans(_284068)))), _286986, _286984) = a_select3(tptp_madd(_284070, tptp_mmul(_284068, tptp_mmul(tptp_madd(tptp_mmul(_284066, tptp_mmul(_284064, trans(_284066))), tptp_mmul(_284062, tptp_mmul(_284060, trans(_284062)))), trans(_284068)))), _286984, _286986)), leq(n0, _286986), leq(_286986, _284058), leq(n0, _286984), leq(_286984, _284058)]]], (730 ^ _258172) ^ [_287737] : [-(sum(n0, tptp_minus_1, _287737) = n0)], (732 ^ _258172) ^ [_287819] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _287819))], (734 ^ _258172) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _258172) ^ [_287954] : [-(plus(_287954, n1) = succ(_287954))], (738 ^ _258172) ^ [_288037] : [-(plus(n1, _288037) = succ(_288037))], (740 ^ _258172) ^ [_288120] : [-(plus(_288120, n2) = succ(succ(_288120)))], (742 ^ _258172) ^ [_288205] : [-(plus(n2, _288205) = succ(succ(_288205)))], (744 ^ _258172) ^ [_288290] : [-(plus(_288290, n3) = succ(succ(succ(_288290))))], (746 ^ _258172) ^ [_288377] : [-(plus(n3, _288377) = succ(succ(succ(_288377))))], (748 ^ _258172) ^ [_288464] : [-(plus(_288464, n4) = succ(succ(succ(succ(_288464)))))], (750 ^ _258172) ^ [_288553] : [-(plus(n4, _288553) = succ(succ(succ(succ(_288553)))))], (752 ^ _258172) ^ [_288642] : [-(plus(_288642, n5) = succ(succ(succ(succ(succ(_288642))))))], (754 ^ _258172) ^ [_288733] : [-(plus(n5, _288733) = succ(succ(succ(succ(succ(_288733))))))], (756 ^ _258172) ^ [_288824] : [-(minus(_288824, n1) = pred(_288824))], (758 ^ _258172) ^ [_288907] : [-(pred(succ(_288907)) = _288907)], (760 ^ _258172) ^ [_288989] : [-(succ(pred(_288989)) = _288989)], (762 ^ _258172) ^ [_289129, _289131] : [leq(succ(_289131), succ(_289129)), -(leq(_289131, _289129))], (768 ^ _258172) ^ [_289299, _289301] : [leq(_289301, _289299), -(leq(succ(_289301), succ(_289299)))], (774 ^ _258172) ^ [_289519, _289521] : [leq(succ(_289521), _289519), -(gt(_289519, _289521))], (780 ^ _258172) ^ [_289733, _289735] : [leq(minus(_289735, _289733), _289735), -(leq(n0, _289733))], (786 ^ _258172) ^ [_289962, _289964, _289966, _289968] : [-(a_select3(tptp_update3(_289968, _289966, _289964, _289962), _289966, _289964) = _289962)], (788 ^ _258172) ^ [_290154, _290156, _290158, _290160, _290162, _290164, _290166] : [-(a_select3(tptp_update3(_290158, _290166, _290164, _290154), _290162, _290160) = _290156), -(_290166 = _290162), _290164 = _290160, a_select3(_290158, _290162, _290160) = _290156], (802 ^ _258172) ^ [_290697, _290699, _290701, _290703, _290705, _290707] : [-(a_select3(tptp_update3(_290699, _290703, _290701, _290697), _290707, _290705) = _290697), 807 ^ _258172 : [(808 ^ _258172) ^ [] : [-(leq(n0, 805 ^ [_290697, _290699, _290701, _290703, _290705, _290707]))], (810 ^ _258172) ^ [] : [-(leq(n0, 806 ^ [_290697, _290699, _290701, _290703, _290705, _290707]))], (812 ^ _258172) ^ [] : [-(leq(805 ^ [_290697, _290699, _290701, _290703, _290705, _290707], _290703))], (814 ^ _258172) ^ [] : [-(leq(806 ^ [_290697, _290699, _290701, _290703, _290705, _290707], _290701))], (816 ^ _258172) ^ [] : [a_select3(_290699, 805 ^ [_290697, _290699, _290701, _290703, _290705, _290707], 806 ^ [_290697, _290699, _290701, _290703, _290705, _290707]) = _290697]], leq(n0, _290707), leq(_290707, _290703), leq(n0, _290705), leq(_290705, _290701)], (834 ^ _258172) ^ [_292039, _292041, _292043] : [-(a_select2(tptp_update2(_292043, _292041, _292039), _292041) = _292039)], (836 ^ _258172) ^ [_292199, _292201, _292203, _292205, _292207] : [-(a_select2(tptp_update2(_292203, _292207, _292199), _292205) = _292201), -(_292207 = _292205), a_select2(_292203, _292205) = _292201], (865 ^ _258172) ^ [] : [-(true)], (867 ^ _258172) ^ [] : [def = use], (846 ^ _258172) ^ [_292579, _292581, _292583, _292585] : [-(a_select2(tptp_update2(_292581, _292583, _292579), _292585) = _292579), 850 ^ _258172 : [(851 ^ _258172) ^ [] : [-(leq(n0, 849 ^ [_292579, _292581, _292583, _292585]))], (853 ^ _258172) ^ [] : [-(leq(849 ^ [_292579, _292581, _292583, _292585], _292583))], (855 ^ _258172) ^ [] : [a_select2(_292581, 849 ^ [_292579, _292581, _292583, _292585]) = _292579]], leq(n0, _292585), leq(_292585, _292583)]], input).
% 0.36/1.39  ncf('1',plain,[leq(n0, pv5), leq(pv5, minus(n999, n1)), 1225 : a_select3(q_ds1_filter, 1214 ^ [], 1215 ^ []) = a_select3(q_ds1_filter, 1215 ^ [], 1214 ^ []), 1239 : a_select3(r_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(r_ds1_filter, 1229 ^ [], 1228 ^ []), 1253 : a_select3(pminus_ds1_filter, 1242 ^ [], 1243 ^ []) = a_select3(pminus_ds1_filter, 1243 ^ [], 1242 ^ []), 1267 : a_select3(pminus_ds1_filter, 1256 ^ [], 1257 ^ []) = a_select3(pminus_ds1_filter, 1257 ^ [], 1256 ^ []), 1279 : a_select3(id_ds1_filter, 1268 ^ [], 1273 ^ []) = a_select3(id_ds1_filter, 1273 ^ [], 1268 ^ [])],start(1205 ^ 0)).
% 0.36/1.39  ncf('1.1',plain,[-(leq(n0, pv5))],extension(1107 ^ 1)).
% 0.36/1.39  ncf('1.2',plain,[-(leq(pv5, minus(n999, n1)))],extension(1111 ^ 1)).
% 0.36/1.39  ncf('1.3',plain,[-(a_select3(q_ds1_filter, 1214 ^ [], 1215 ^ []) = a_select3(q_ds1_filter, 1215 ^ [], 1214 ^ [])), leq(n0, 1214 ^ []), leq(n0, 1215 ^ []), leq(1214 ^ [], minus(n6, n1)), leq(1215 ^ [], minus(n6, n1))],extension(1115 ^ 3,bind([[_300026, _300028], [1215 ^ [], 1214 ^ []]]))).
% 0.36/1.39  ncf('1.3.1',plain,[-(leq(n0, 1214 ^ []))],extension(1217 ^ 4)).
% 0.36/1.39  ncf('1.3.2',plain,[-(leq(n0, 1215 ^ []))],extension(1219 ^ 4)).
% 0.36/1.39  ncf('1.3.3',plain,[-(leq(1214 ^ [], minus(n6, n1)))],extension(1221 ^ 4)).
% 0.36/1.39  ncf('1.3.4',plain,[-(leq(1215 ^ [], minus(n6, n1)))],extension(1223 ^ 4)).
% 0.36/1.39  ncf('1.4',plain,[-(a_select3(r_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(r_ds1_filter, 1229 ^ [], 1228 ^ [])), leq(n0, 1228 ^ []), leq(n0, 1229 ^ []), leq(1228 ^ [], minus(n3, n1)), leq(1229 ^ [], minus(n3, n1))],extension(1133 ^ 3,bind([[_300519, _300521], [1229 ^ [], 1228 ^ []]]))).
% 0.36/1.39  ncf('1.4.1',plain,[-(leq(n0, 1228 ^ []))],extension(1231 ^ 4)).
% 0.36/1.39  ncf('1.4.2',plain,[-(leq(n0, 1229 ^ []))],extension(1233 ^ 4)).
% 0.36/1.39  ncf('1.4.3',plain,[-(leq(1228 ^ [], minus(n3, n1)))],extension(1235 ^ 4)).
% 0.36/1.39  ncf('1.4.4',plain,[-(leq(1229 ^ [], minus(n3, n1)))],extension(1237 ^ 4)).
% 0.36/1.39  ncf('1.5',plain,[-(a_select3(pminus_ds1_filter, 1242 ^ [], 1243 ^ []) = a_select3(pminus_ds1_filter, 1243 ^ [], 1242 ^ [])), leq(n0, 1242 ^ []), leq(n0, 1243 ^ []), leq(1242 ^ [], minus(n6, n1)), leq(1243 ^ [], minus(n6, n1))],extension(1151 ^ 3,bind([[_301012, _301014], [1243 ^ [], 1242 ^ []]]))).
% 0.36/1.39  ncf('1.5.1',plain,[-(leq(n0, 1242 ^ []))],extension(1245 ^ 4)).
% 0.36/1.39  ncf('1.5.2',plain,[-(leq(n0, 1243 ^ []))],extension(1247 ^ 4)).
% 0.36/1.39  ncf('1.5.3',plain,[-(leq(1242 ^ [], minus(n6, n1)))],extension(1249 ^ 4)).
% 0.36/1.39  ncf('1.5.4',plain,[-(leq(1243 ^ [], minus(n6, n1)))],extension(1251 ^ 4)).
% 0.36/1.39  ncf('1.6',plain,[-(a_select3(pminus_ds1_filter, 1256 ^ [], 1257 ^ []) = a_select3(pminus_ds1_filter, 1257 ^ [], 1256 ^ [])), leq(n0, 1256 ^ []), leq(n0, 1257 ^ []), leq(1256 ^ [], minus(n6, n1)), leq(1257 ^ [], minus(n6, n1))],extension(1151 ^ 3,bind([[_301012, _301014], [1257 ^ [], 1256 ^ []]]))).
% 0.36/1.39  ncf('1.6.1',plain,[-(leq(n0, 1256 ^ []))],extension(1259 ^ 4)).
% 0.36/1.39  ncf('1.6.2',plain,[-(leq(n0, 1257 ^ []))],extension(1261 ^ 4)).
% 0.36/1.39  ncf('1.6.3',plain,[-(leq(1256 ^ [], minus(n6, n1)))],extension(1263 ^ 4)).
% 0.36/1.39  ncf('1.6.4',plain,[-(leq(1257 ^ [], minus(n6, n1)))],extension(1265 ^ 4)).
% 0.36/1.39  ncf('1.7',plain,[-(a_select3(id_ds1_filter, 1268 ^ [], 1273 ^ []) = a_select3(id_ds1_filter, 1273 ^ [], 1268 ^ [])), 1195 : leq(n0, 1273 ^ []), 1195 : leq(1273 ^ [], minus(n6, n1)), 1195 : leq(n0, 1268 ^ []), 1195 : leq(1268 ^ [], minus(n6, n1))],extension(1187 ^ 3,bind([[_301964, _302196], [1268 ^ [], 1273 ^ []]]))).
% 0.36/1.39  ncf('1.7.1',plain,[-(leq(n0, 1273 ^ []))],extension(1275 ^ 6)).
% 0.36/1.39  ncf('1.7.2',plain,[-(leq(1273 ^ [], minus(n6, n1)))],extension(1277 ^ 6)).
% 0.36/1.39  ncf('1.7.3',plain,[-(leq(n0, 1268 ^ []))],extension(1270 ^ 4)).
% 0.36/1.39  ncf('1.7.4',plain,[-(leq(1268 ^ [], minus(n6, n1)))],extension(1272 ^ 4)).
% 0.36/1.39  %-----------------------------------------------------
% 0.36/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------