%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:20:00 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV116+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:12:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(1201 ^ _233099) ^ [] : [1204 ^ _233099 : [(1205 ^ _233099) ^ [] : [-(leq(n0, 1202 ^ []))], (1207 ^ _233099) ^ [] : [-(leq(n0, 1203 ^ []))], (1209 ^ _233099) ^ [] : [-(leq(1202 ^ [], minus(n6, n1)))], (1211 ^ _233099) ^ [] : [-(leq(1203 ^ [], minus(n6, n1)))], (1213 ^ _233099) ^ [] : [a_select3(q_ds1_filter, 1202 ^ [], 1203 ^ []) = a_select3(q_ds1_filter, 1203 ^ [], 1202 ^ [])]], 1218 ^ _233099 : [(1219 ^ _233099) ^ [] : [-(leq(n0, 1216 ^ []))], (1221 ^ _233099) ^ [] : [-(leq(n0, 1217 ^ []))], (1223 ^ _233099) ^ [] : [-(leq(1216 ^ [], minus(n3, n1)))], (1225 ^ _233099) ^ [] : [-(leq(1217 ^ [], minus(n3, n1)))], (1227 ^ _233099) ^ [] : [a_select3(r_ds1_filter, 1216 ^ [], 1217 ^ []) = a_select3(r_ds1_filter, 1217 ^ [], 1216 ^ [])]], 1230 ^ _233099 : [(1231 ^ _233099) ^ [] : [-(leq(n0, 1228 ^ []))], (1233 ^ _233099) ^ [] : [-(leq(n0, 1229 ^ []))], (1235 ^ _233099) ^ [] : [-(leq(1228 ^ [], minus(n6, n1)))], (1237 ^ _233099) ^ [] : [-(leq(1229 ^ [], minus(n6, n1)))], (1239 ^ _233099) ^ [] : [a_select3(pminus_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(pminus_ds1_filter, 1229 ^ [], 1228 ^ [])]]], (1107 ^ _233099) ^ [] : [-(leq(n0, pv5))], (1109 ^ _233099) ^ [] : [-(leq(pv5, minus(n999, n1)))], (1111 ^ _233099) ^ [_274847, _274849] : [-(a_select3(q_ds1_filter, _274849, _274847) = a_select3(q_ds1_filter, _274847, _274849)), leq(n0, _274849), leq(n0, _274847), leq(_274849, minus(n6, n1)), leq(_274847, minus(n6, n1))], (1129 ^ _233099) ^ [_275340, _275342] : [-(a_select3(r_ds1_filter, _275342, _275340) = a_select3(r_ds1_filter, _275340, _275342)), leq(n0, _275342), leq(n0, _275340), leq(_275342, minus(n3, n1)), leq(_275340, minus(n3, n1))], (1147 ^ _233099) ^ [_275833, _275835] : [-(a_select3(pminus_ds1_filter, _275835, _275833) = a_select3(pminus_ds1_filter, _275833, _275835)), leq(n0, _275835), leq(n0, _275833), leq(_275835, minus(n6, n1)), leq(_275833, minus(n6, n1))], (1165 ^ _233099) ^ [_276326, _276328] : [-(a_select3(pminus_ds1_filter, _276328, _276326) = a_select3(pminus_ds1_filter, _276326, _276328)), leq(n0, _276328), leq(n0, _276326), leq(_276328, minus(n6, n1)), leq(_276326, minus(n6, n1))], (1183 ^ _233099) ^ [_276785] : [leq(n0, _276785), leq(_276785, minus(n6, n1)), 1190 ^ _233099 : [(1191 ^ _233099) ^ [_277017] : [-(a_select3(id_ds1_filter, _276785, _277017) = a_select3(id_ds1_filter, _277017, _276785)), leq(n0, _277017), leq(_277017, minus(n6, n1))]]], (2 ^ _233099) ^ [_233243] : [-(_233243 = _233243)], (4 ^ _233099) ^ [_233350, _233352] : [_233352 = _233350, -(_233350 = _233352)], (10 ^ _233099) ^ [_233554, _233556, _233558] : [-(_233558 = _233554), _233558 = _233556, _233556 = _233554], (20 ^ _233099) ^ [_233895, _233897, _233899, _233901] : [-(lt(_233899, _233895)), lt(_233901, _233897), _233901 = _233899, _233897 = _233895], (34 ^ _233099) ^ [_234339, _234341, _234343, _234345] : [-(geq(_234343, _234339)), geq(_234345, _234341), _234345 = _234343, _234341 = _234339], (48 ^ _233099) ^ [_234783, _234785, _234787, _234789] : [-(gt(_234787, _234783)), gt(_234789, _234785), _234789 = _234787, _234785 = _234783], (62 ^ _233099) ^ [_235207, _235209, _235211, _235213] : [-(leq(_235211, _235207)), leq(_235213, _235209), _235213 = _235211, _235209 = _235207], (76 ^ _233099) ^ [_235663, _235665, _235667, _235669] : [-(uniform_int_rnd(_235669, _235665) = uniform_int_rnd(_235667, _235663)), _235669 = _235667, _235665 = _235663], (86 ^ _233099) ^ [_236022, _236024, _236026, _236028] : [-(tptp_const_array1(_236028, _236024) = tptp_const_array1(_236026, _236022)), _236028 = _236026, _236024 = _236022], (96 ^ _233099) ^ [_236409, _236411, _236413, _236415, _236417, _236419] : [-(tptp_const_array2(_236419, _236415, _236411) = tptp_const_array2(_236417, _236413, _236409)), _236419 = _236417, _236415 = _236413, _236411 = _236409], (110 ^ _233099) ^ [_236897, _236899, _236901, _236903] : [-(dim(_236903, _236899) = dim(_236901, _236897)), _236903 = _236901, _236899 = _236897], (120 ^ _233099) ^ [_237228, _237230] : [_237230 = _237228, -(inv(_237230) = inv(_237228))], (126 ^ _233099) ^ [_237474, _237476, _237478, _237480] : [-(tptp_msub(_237480, _237476) = tptp_msub(_237478, _237474)), _237480 = _237478, _237476 = _237474], (136 ^ _233099) ^ [_237833, _237835, _237837, _237839] : [-(tptp_madd(_237839, _237835) = tptp_madd(_237837, _237833)), _237839 = _237837, _237835 = _237833], (146 ^ _233099) ^ [_238192, _238194, _238196, _238198] : [-(tptp_mmul(_238198, _238194) = tptp_mmul(_238196, _238192)), _238198 = _238196, _238194 = _238192], (156 ^ _233099) ^ [_238523, _238525] : [_238525 = _238523, -(trans(_238525) = trans(_238523))], (162 ^ _233099) ^ [_238797, _238799, _238801, _238803, _238805, _238807] : [-(sum(_238807, _238803, _238799) = sum(_238805, _238801, _238797)), _238807 = _238805, _238803 = _238801, _238799 = _238797], (176 ^ _233099) ^ [_239285, _239287, _239289, _239291] : [-(plus(_239291, _239287) = plus(_239289, _239285)), _239291 = _239289, _239287 = _239285], (186 ^ _233099) ^ [_239616, _239618] : [_239618 = _239616, -(pred(_239618) = pred(_239616))], (192 ^ _233099) ^ [_239918, _239920, _239922, _239924, _239926, _239928, _239930, _239932] : [-(tptp_update3(_239932, _239928, _239924, _239920) = tptp_update3(_239930, _239926, _239922, _239918)), _239932 = _239930, _239928 = _239926, _239924 = _239922, _239920 = _239918], (210 ^ _233099) ^ [_240551, _240553, _240555, _240557] : [-(a_select2(_240557, _240553) = a_select2(_240555, _240551)), _240557 = _240555, _240553 = _240551], (220 ^ _233099) ^ [_240938, _240940, _240942, _240944, _240946, _240948] : [-(tptp_update2(_240948, _240944, _240940) = tptp_update2(_240946, _240942, _240938)), _240948 = _240946, _240944 = _240942, _240940 = _240938], (234 ^ _233099) ^ [_241398, _241400] : [_241400 = _241398, -(succ(_241400) = succ(_241398))], (240 ^ _233099) ^ [_241644, _241646, _241648, _241650] : [-(minus(_241650, _241646) = minus(_241648, _241644)), _241650 = _241648, _241646 = _241644], (250 ^ _233099) ^ [_242011, _242013, _242015, _242017, _242019, _242021] : [-(a_select3(_242021, _242017, _242013) = a_select3(_242019, _242015, _242011)), _242021 = _242019, _242017 = _242015, _242013 = _242011], (869 ^ _233099) ^ [] : [-(gt(n5, n4))], (871 ^ _233099) ^ [] : [-(gt(n6, n4))], (873 ^ _233099) ^ [] : [-(gt(n999, n4))], (875 ^ _233099) ^ [] : [-(gt(n6, n5))], (877 ^ _233099) ^ [] : [-(gt(n999, n5))], (879 ^ _233099) ^ [] : [-(gt(n999, n6))], (881 ^ _233099) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _233099) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _233099) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _233099) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _233099) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _233099) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _233099) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _233099) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _233099) ^ [] : [-(gt(n4, n0))], (899 ^ _233099) ^ [] : [-(gt(n5, n0))], (901 ^ _233099) ^ [] : [-(gt(n6, n0))], (903 ^ _233099) ^ [] : [-(gt(n999, n0))], (905 ^ _233099) ^ [] : [-(gt(n1, n0))], (907 ^ _233099) ^ [] : [-(gt(n2, n0))], (909 ^ _233099) ^ [] : [-(gt(n3, n0))], (911 ^ _233099) ^ [] : [-(gt(n4, n1))], (913 ^ _233099) ^ [] : [-(gt(n5, n1))], (915 ^ _233099) ^ [] : [-(gt(n6, n1))], (917 ^ _233099) ^ [] : [-(gt(n999, n1))], (919 ^ _233099) ^ [] : [-(gt(n2, n1))], (921 ^ _233099) ^ [] : [-(gt(n3, n1))], (923 ^ _233099) ^ [] : [-(gt(n4, n2))], (925 ^ _233099) ^ [] : [-(gt(n5, n2))], (927 ^ _233099) ^ [] : [-(gt(n6, n2))], (929 ^ _233099) ^ [] : [-(gt(n999, n2))], (931 ^ _233099) ^ [] : [-(gt(n3, n2))], (933 ^ _233099) ^ [] : [-(gt(n4, n3))], (935 ^ _233099) ^ [] : [-(gt(n5, n3))], (937 ^ _233099) ^ [] : [-(gt(n6, n3))], (939 ^ _233099) ^ [] : [-(gt(n999, n3))], (941 ^ _233099) ^ [_270404] : [leq(n0, _270404), leq(_270404, n4), -(_270404 = n0), -(_270404 = n1), -(_270404 = n2), -(_270404 = n3), -(_270404 = n4)], (967 ^ _233099) ^ [_271025] : [leq(n0, _271025), leq(_271025, n5), -(_271025 = n0), -(_271025 = n1), -(_271025 = n2), -(_271025 = n3), -(_271025 = n4), -(_271025 = n5)], (997 ^ _233099) ^ [_271732] : [leq(n0, _271732), leq(_271732, n6), -(_271732 = n0), -(_271732 = n1), -(_271732 = n2), -(_271732 = n3), -(_271732 = n4), -(_271732 = n5), -(_271732 = n6)], (1031 ^ _233099) ^ [_272525] : [-(_272525 = n0), leq(n0, _272525), leq(_272525, n0)], (1041 ^ _233099) ^ [_272800] : [leq(n0, _272800), leq(_272800, n1), -(_272800 = n0), -(_272800 = n1)], (1055 ^ _233099) ^ [_273163] : [leq(n0, _273163), leq(_273163, n2), -(_273163 = n0), -(_273163 = n1), -(_273163 = n2)], (1095 ^ _233099) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _233099) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _233099) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _233099) ^ [] : [-(succ(n0) = n1)], (1103 ^ _233099) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _233099) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _233099) ^ [_273612] : [leq(n0, _273612), leq(_273612, n3), -(_273612 = n0), -(_273612 = n1), -(_273612 = n2), -(_273612 = n3)], (264 ^ _233099) ^ [_242571, _242573] : [-(gt(_242573, _242571)), -(gt(_242571, _242573)), -(_242573 = _242571)], (274 ^ _233099) ^ [_242886, _242888, _242890] : [-(gt(_242890, _242886)), gt(_242890, _242888), gt(_242888, _242886)], (284 ^ _233099) ^ [_243165] : [gt(_243165, _243165)], (286 ^ _233099) ^ [_243243] : [-(leq(_243243, _243243))], (288 ^ _233099) ^ [_243364, _243366, _243368] : [-(leq(_243368, _243364)), leq(_243368, _243366), leq(_243366, _243364)], (298 ^ _233099) ^ [_243702, _243704] : [lt(_243704, _243702), -(gt(_243702, _243704))], (304 ^ _233099) ^ [_243864, _243866] : [gt(_243864, _243866), -(lt(_243866, _243864))], (310 ^ _233099) ^ [_244105, _244107] : [geq(_244107, _244105), -(leq(_244105, _244107))], (316 ^ _233099) ^ [_244267, _244269] : [leq(_244267, _244269), -(geq(_244269, _244267))], (322 ^ _233099) ^ [_244479, _244481] : [gt(_244479, _244481), -(leq(_244481, _244479))], (328 ^ _233099) ^ [_244689, _244691] : [-(gt(_244689, _244691)), leq(_244691, _244689), -(_244691 = _244689)], (338 ^ _233099) ^ [_245020, _245022] : [leq(_245022, pred(_245020)), -(gt(_245020, _245022))], (344 ^ _233099) ^ [_245186, _245188] : [gt(_245186, _245188), -(leq(_245188, pred(_245186)))], (350 ^ _233099) ^ [_245373] : [-(gt(succ(_245373), _245373))], (352 ^ _233099) ^ [_245482, _245484] : [leq(_245484, _245482), -(leq(_245484, succ(_245482)))], (358 ^ _233099) ^ [_245725, _245727] : [leq(_245727, _245725), -(gt(succ(_245725), _245727))], (364 ^ _233099) ^ [_245891, _245893] : [gt(succ(_245891), _245893), -(leq(_245893, _245891))], (370 ^ _233099) ^ [_246107, _246109] : [leq(n0, _246109), -(leq(uniform_int_rnd(_246107, _246109), _246109))], (376 ^ _233099) ^ [_246323, _246325] : [leq(n0, _246325), -(leq(n0, uniform_int_rnd(_246323, _246325)))], (382 ^ _233099) ^ [_246567, _246569, _246571, _246573] : [-(a_select2(tptp_const_array1(dim(_246571, _246569), _246567), _246573) = _246567), leq(_246571, _246573), leq(_246573, _246569)], (392 ^ _233099) ^ [_246974, _246976, _246978, _246980, _246982, _246984, _246986] : [-(a_select3(tptp_const_array2(dim(_246984, _246982), dim(_246978, _246976), _246974), _246986, _246980) = _246974), leq(_246984, _246986), leq(_246986, _246982), leq(_246978, _246980), leq(_246980, _246976)], (410 ^ _233099) ^ [_247569, _247571] : [413 ^ _233099 : [(414 ^ _233099) ^ [] : [-(leq(n0, 411 ^ [_247569, _247571]))], (416 ^ _233099) ^ [] : [-(leq(411 ^ [_247569, _247571], _247569))], (418 ^ _233099) ^ [] : [-(leq(n0, 412 ^ [_247569, _247571]))], (420 ^ _233099) ^ [] : [-(leq(412 ^ [_247569, _247571], _247569))], (422 ^ _233099) ^ [] : [a_select3(_247571, 411 ^ [_247569, _247571], 412 ^ [_247569, _247571]) = a_select3(_247571, 412 ^ [_247569, _247571], 411 ^ [_247569, _247571])]], 423 ^ _233099 : [(424 ^ _233099) ^ [_248326, _248328] : [-(a_select3(trans(_247571), _248328, _248326) = a_select3(trans(_247571), _248326, _248328)), leq(n0, _248328), leq(_248328, _247569), leq(n0, _248326), leq(_248326, _247569)]]], (442 ^ _233099) ^ [_248873, _248875] : [445 ^ _233099 : [(446 ^ _233099) ^ [] : [-(leq(n0, 443 ^ [_248873, _248875]))], (448 ^ _233099) ^ [] : [-(leq(443 ^ [_248873, _248875], _248873))], (450 ^ _233099) ^ [] : [-(leq(n0, 444 ^ [_248873, _248875]))], (452 ^ _233099) ^ [] : [-(leq(444 ^ [_248873, _248875], _248873))], (454 ^ _233099) ^ [] : [a_select3(_248875, 443 ^ [_248873, _248875], 444 ^ [_248873, _248875]) = a_select3(_248875, 444 ^ [_248873, _248875], 443 ^ [_248873, _248875])]], 455 ^ _233099 : [(456 ^ _233099) ^ [_249630, _249632] : [-(a_select3(inv(_248875), _249632, _249630) = a_select3(inv(_248875), _249630, _249632)), leq(n0, _249632), leq(_249632, _248873), leq(n0, _249630), leq(_249630, _248873)]]], (474 ^ _233099) ^ [_250177, _250179] : [477 ^ _233099 : [(478 ^ _233099) ^ [] : [-(leq(n0, 475 ^ [_250177, _250179]))], (480 ^ _233099) ^ [] : [-(leq(475 ^ [_250177, _250179], _250177))], (482 ^ _233099) ^ [] : [-(leq(n0, 476 ^ [_250177, _250179]))], (484 ^ _233099) ^ [] : [-(leq(476 ^ [_250177, _250179], _250177))], (486 ^ _233099) ^ [] : [a_select3(_250179, 475 ^ [_250177, _250179], 476 ^ [_250177, _250179]) = a_select3(_250179, 476 ^ [_250177, _250179], 475 ^ [_250177, _250179])]], 487 ^ _233099 : [(488 ^ _233099) ^ [_250990, _250992, _250994, _250996] : [-(a_select3(tptp_update3(_250179, _250992, _250992, _250990), _250996, _250994) = a_select3(tptp_update3(_250179, _250992, _250992, _250990), _250994, _250996)), leq(n0, _250996), leq(_250996, _250177), leq(n0, _250994), leq(_250994, _250177), leq(n0, _250992), leq(_250992, _250177)]]], (514 ^ _233099) ^ [_251809, _251811, _251813] : [519 ^ _233099 : [(520 ^ _233099) ^ [] : [-(leq(n0, 517 ^ [_251809, _251811, _251813]))], (522 ^ _233099) ^ [] : [-(leq(517 ^ [_251809, _251811, _251813], _251809))], (524 ^ _233099) ^ [] : [-(leq(n0, 518 ^ [_251809, _251811, _251813]))], (526 ^ _233099) ^ [] : [-(leq(518 ^ [_251809, _251811, _251813], _251809))], (528 ^ _233099) ^ [] : [a_select3(_251813, 517 ^ [_251809, _251811, _251813], 518 ^ [_251809, _251811, _251813]) = a_select3(_251813, 518 ^ [_251809, _251811, _251813], 517 ^ [_251809, _251811, _251813])]], 531 ^ _233099 : [(532 ^ _233099) ^ [] : [-(leq(n0, 529 ^ [_251809, _251811, _251813]))], (534 ^ _233099) ^ [] : [-(leq(529 ^ [_251809, _251811, _251813], _251809))], (536 ^ _233099) ^ [] : [-(leq(n0, 530 ^ [_251809, _251811, _251813]))], (538 ^ _233099) ^ [] : [-(leq(530 ^ [_251809, _251811, _251813], _251809))], (540 ^ _233099) ^ [] : [a_select3(_251811, 529 ^ [_251809, _251811, _251813], 530 ^ [_251809, _251811, _251813]) = a_select3(_251811, 530 ^ [_251809, _251811, _251813], 529 ^ [_251809, _251811, _251813])]], 541 ^ _233099 : [(542 ^ _233099) ^ [_253318, _253320] : [-(a_select3(tptp_madd(_251813, _251811), _253320, _253318) = a_select3(tptp_madd(_251813, _251811), _253318, _253320)), leq(n0, _253320), leq(_253320, _251809), leq(n0, _253318), leq(_253318, _251809)]]], (560 ^ _233099) ^ [_253904, _253906, _253908] : [565 ^ _233099 : [(566 ^ _233099) ^ [] : [-(leq(n0, 563 ^ [_253904, _253906, _253908]))], (568 ^ _233099) ^ [] : [-(leq(563 ^ [_253904, _253906, _253908], _253904))], (570 ^ _233099) ^ [] : [-(leq(n0, 564 ^ [_253904, _253906, _253908]))], (572 ^ _233099) ^ [] : [-(leq(564 ^ [_253904, _253906, _253908], _253904))], (574 ^ _233099) ^ [] : [a_select3(_253908, 563 ^ [_253904, _253906, _253908], 564 ^ [_253904, _253906, _253908]) = a_select3(_253908, 564 ^ [_253904, _253906, _253908], 563 ^ [_253904, _253906, _253908])]], 577 ^ _233099 : [(578 ^ _233099) ^ [] : [-(leq(n0, 575 ^ [_253904, _253906, _253908]))], (580 ^ _233099) ^ [] : [-(leq(575 ^ [_253904, _253906, _253908], _253904))], (582 ^ _233099) ^ [] : [-(leq(n0, 576 ^ [_253904, _253906, _253908]))], (584 ^ _233099) ^ [] : [-(leq(576 ^ [_253904, _253906, _253908], _253904))], (586 ^ _233099) ^ [] : [a_select3(_253906, 575 ^ [_253904, _253906, _253908], 576 ^ [_253904, _253906, _253908]) = a_select3(_253906, 576 ^ [_253904, _253906, _253908], 575 ^ [_253904, _253906, _253908])]], 587 ^ _233099 : [(588 ^ _233099) ^ [_255413, _255415] : [-(a_select3(tptp_msub(_253908, _253906), _255415, _255413) = a_select3(tptp_msub(_253908, _253906), _255413, _255415)), leq(n0, _255415), leq(_255415, _253904), leq(n0, _255413), leq(_255413, _253904)]]], (606 ^ _233099) ^ [_255999, _256001, _256003] : [609 ^ _233099 : [(610 ^ _233099) ^ [] : [-(leq(n0, 607 ^ [_255999, _256001, _256003]))], (612 ^ _233099) ^ [] : [-(leq(607 ^ [_255999, _256001, _256003], _255999))], (614 ^ _233099) ^ [] : [-(leq(n0, 608 ^ [_255999, _256001, _256003]))], (616 ^ _233099) ^ [] : [-(leq(608 ^ [_255999, _256001, _256003], _255999))], (618 ^ _233099) ^ [] : [a_select3(_256001, 607 ^ [_255999, _256001, _256003], 608 ^ [_255999, _256001, _256003]) = a_select3(_256001, 608 ^ [_255999, _256001, _256003], 607 ^ [_255999, _256001, _256003])]], 619 ^ _233099 : [(620 ^ _233099) ^ [_256812, _256814] : [-(a_select3(tptp_mmul(_256003, tptp_mmul(_256001, trans(_256003))), _256814, _256812) = a_select3(tptp_mmul(_256003, tptp_mmul(_256001, trans(_256003))), _256812, _256814)), leq(n0, _256814), leq(_256814, _255999), leq(n0, _256812), leq(_256812, _255999)]]], (638 ^ _233099) ^ [_257431, _257433, _257435, _257437] : [641 ^ _233099 : [(642 ^ _233099) ^ [] : [-(leq(n0, 639 ^ [_257431, _257433, _257435, _257437]))], (644 ^ _233099) ^ [] : [-(leq(639 ^ [_257431, _257433, _257435, _257437], _257431))], (646 ^ _233099) ^ [] : [-(leq(n0, 640 ^ [_257431, _257433, _257435, _257437]))], (648 ^ _233099) ^ [] : [-(leq(640 ^ [_257431, _257433, _257435, _257437], _257431))], (650 ^ _233099) ^ [] : [a_select3(_257435, 639 ^ [_257431, _257433, _257435, _257437], 640 ^ [_257431, _257433, _257435, _257437]) = a_select3(_257435, 640 ^ [_257431, _257433, _257435, _257437], 639 ^ [_257431, _257433, _257435, _257437])]], 651 ^ _233099 : [(652 ^ _233099) ^ [_258288, _258290] : [-(a_select3(tptp_mmul(_257437, tptp_mmul(_257435, trans(_257437))), _258290, _258288) = a_select3(tptp_mmul(_257437, tptp_mmul(_257435, trans(_257437))), _258288, _258290)), leq(n0, _258290), leq(_258290, _257433), leq(n0, _258288), leq(_258288, _257433)]]], (670 ^ _233099) ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997] : [675 ^ _233099 : [(676 ^ _233099) ^ [] : [-(leq(n0, 673 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (678 ^ _233099) ^ [] : [-(leq(673 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258983))], (680 ^ _233099) ^ [] : [-(leq(n0, 674 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (682 ^ _233099) ^ [] : [-(leq(674 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258983))], (684 ^ _233099) ^ [] : [a_select3(_258991, 673 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 674 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]) = a_select3(_258991, 674 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 673 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997])]], 689 ^ _233099 : [(690 ^ _233099) ^ [] : [-(leq(n0, 687 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (692 ^ _233099) ^ [] : [-(leq(687 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258985))], (694 ^ _233099) ^ [] : [-(leq(n0, 688 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (696 ^ _233099) ^ [] : [-(leq(688 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258985))], (698 ^ _233099) ^ [] : [a_select3(_258997, 687 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 688 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]) = a_select3(_258997, 688 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 687 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997])]], 701 ^ _233099 : [(702 ^ _233099) ^ [] : [-(leq(n0, 699 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (704 ^ _233099) ^ [] : [-(leq(699 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258985))], (706 ^ _233099) ^ [] : [-(leq(n0, 700 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]))], (708 ^ _233099) ^ [] : [-(leq(700 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], _258985))], (710 ^ _233099) ^ [] : [a_select3(_258987, 699 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 700 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997]) = a_select3(_258987, 700 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997], 699 ^ [_258983, _258985, _258987, _258989, _258991, _258993, _258995, _258997])]], 711 ^ _233099 : [(712 ^ _233099) ^ [_261911, _261913] : [-(a_select3(tptp_madd(_258997, tptp_mmul(_258995, tptp_mmul(tptp_madd(tptp_mmul(_258993, tptp_mmul(_258991, trans(_258993))), tptp_mmul(_258989, tptp_mmul(_258987, trans(_258989)))), trans(_258995)))), _261913, _261911) = a_select3(tptp_madd(_258997, tptp_mmul(_258995, tptp_mmul(tptp_madd(tptp_mmul(_258993, tptp_mmul(_258991, trans(_258993))), tptp_mmul(_258989, tptp_mmul(_258987, trans(_258989)))), trans(_258995)))), _261911, _261913)), leq(n0, _261913), leq(_261913, _258985), leq(n0, _261911), leq(_261911, _258985)]]], (730 ^ _233099) ^ [_262664] : [-(sum(n0, tptp_minus_1, _262664) = n0)], (732 ^ _233099) ^ [_262746] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _262746))], (734 ^ _233099) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _233099) ^ [_262881] : [-(plus(_262881, n1) = succ(_262881))], (738 ^ _233099) ^ [_262964] : [-(plus(n1, _262964) = succ(_262964))], (740 ^ _233099) ^ [_263047] : [-(plus(_263047, n2) = succ(succ(_263047)))], (742 ^ _233099) ^ [_263132] : [-(plus(n2, _263132) = succ(succ(_263132)))], (744 ^ _233099) ^ [_263217] : [-(plus(_263217, n3) = succ(succ(succ(_263217))))], (746 ^ _233099) ^ [_263304] : [-(plus(n3, _263304) = succ(succ(succ(_263304))))], (748 ^ _233099) ^ [_263391] : [-(plus(_263391, n4) = succ(succ(succ(succ(_263391)))))], (750 ^ _233099) ^ [_263480] : [-(plus(n4, _263480) = succ(succ(succ(succ(_263480)))))], (752 ^ _233099) ^ [_263569] : [-(plus(_263569, n5) = succ(succ(succ(succ(succ(_263569))))))], (754 ^ _233099) ^ [_263660] : [-(plus(n5, _263660) = succ(succ(succ(succ(succ(_263660))))))], (756 ^ _233099) ^ [_263751] : [-(minus(_263751, n1) = pred(_263751))], (758 ^ _233099) ^ [_263834] : [-(pred(succ(_263834)) = _263834)], (760 ^ _233099) ^ [_263916] : [-(succ(pred(_263916)) = _263916)], (762 ^ _233099) ^ [_264056, _264058] : [leq(succ(_264058), succ(_264056)), -(leq(_264058, _264056))], (768 ^ _233099) ^ [_264226, _264228] : [leq(_264228, _264226), -(leq(succ(_264228), succ(_264226)))], (774 ^ _233099) ^ [_264446, _264448] : [leq(succ(_264448), _264446), -(gt(_264446, _264448))], (780 ^ _233099) ^ [_264660, _264662] : [leq(minus(_264662, _264660), _264662), -(leq(n0, _264660))], (786 ^ _233099) ^ [_264889, _264891, _264893, _264895] : [-(a_select3(tptp_update3(_264895, _264893, _264891, _264889), _264893, _264891) = _264889)], (788 ^ _233099) ^ [_265081, _265083, _265085, _265087, _265089, _265091, _265093] : [-(a_select3(tptp_update3(_265085, _265093, _265091, _265081), _265089, _265087) = _265083), -(_265093 = _265089), _265091 = _265087, a_select3(_265085, _265089, _265087) = _265083], (802 ^ _233099) ^ [_265624, _265626, _265628, _265630, _265632, _265634] : [-(a_select3(tptp_update3(_265626, _265630, _265628, _265624), _265634, _265632) = _265624), 807 ^ _233099 : [(808 ^ _233099) ^ [] : [-(leq(n0, 805 ^ [_265624, _265626, _265628, _265630, _265632, _265634]))], (810 ^ _233099) ^ [] : [-(leq(n0, 806 ^ [_265624, _265626, _265628, _265630, _265632, _265634]))], (812 ^ _233099) ^ [] : [-(leq(805 ^ [_265624, _265626, _265628, _265630, _265632, _265634], _265630))], (814 ^ _233099) ^ [] : [-(leq(806 ^ [_265624, _265626, _265628, _265630, _265632, _265634], _265628))], (816 ^ _233099) ^ [] : [a_select3(_265626, 805 ^ [_265624, _265626, _265628, _265630, _265632, _265634], 806 ^ [_265624, _265626, _265628, _265630, _265632, _265634]) = _265624]], leq(n0, _265634), leq(_265634, _265630), leq(n0, _265632), leq(_265632, _265628)], (834 ^ _233099) ^ [_266966, _266968, _266970] : [-(a_select2(tptp_update2(_266970, _266968, _266966), _266968) = _266966)], (836 ^ _233099) ^ [_267126, _267128, _267130, _267132, _267134] : [-(a_select2(tptp_update2(_267130, _267134, _267126), _267132) = _267128), -(_267134 = _267132), a_select2(_267130, _267132) = _267128], (865 ^ _233099) ^ [] : [-(true)], (867 ^ _233099) ^ [] : [def = use], (846 ^ _233099) ^ [_267506, _267508, _267510, _267512] : [-(a_select2(tptp_update2(_267508, _267510, _267506), _267512) = _267506), 850 ^ _233099 : [(851 ^ _233099) ^ [] : [-(leq(n0, 849 ^ [_267506, _267508, _267510, _267512]))], (853 ^ _233099) ^ [] : [-(leq(849 ^ [_267506, _267508, _267510, _267512], _267510))], (855 ^ _233099) ^ [] : [a_select2(_267508, 849 ^ [_267506, _267508, _267510, _267512]) = _267506]], leq(n0, _267512), leq(_267512, _267510)]], input).
% 0.35/1.39  ncf('1',plain,[1213 : a_select3(q_ds1_filter, 1202 ^ [], 1203 ^ []) = a_select3(q_ds1_filter, 1203 ^ [], 1202 ^ []), 1227 : a_select3(r_ds1_filter, 1216 ^ [], 1217 ^ []) = a_select3(r_ds1_filter, 1217 ^ [], 1216 ^ []), 1239 : a_select3(pminus_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(pminus_ds1_filter, 1229 ^ [], 1228 ^ [])],start(1201 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(a_select3(q_ds1_filter, 1202 ^ [], 1203 ^ []) = a_select3(q_ds1_filter, 1203 ^ [], 1202 ^ [])), leq(n0, 1202 ^ []), leq(n0, 1203 ^ []), leq(1202 ^ [], minus(n6, n1)), leq(1203 ^ [], minus(n6, n1))],extension(1111 ^ 3,bind([[_274847, _274849], [1203 ^ [], 1202 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(leq(n0, 1202 ^ []))],extension(1205 ^ 4)).
% 0.35/1.39  ncf('1.1.2',plain,[-(leq(n0, 1203 ^ []))],extension(1207 ^ 4)).
% 0.35/1.39  ncf('1.1.3',plain,[-(leq(1202 ^ [], minus(n6, n1)))],extension(1209 ^ 4)).
% 0.35/1.39  ncf('1.1.4',plain,[-(leq(1203 ^ [], minus(n6, n1)))],extension(1211 ^ 4)).
% 0.35/1.39  ncf('1.2',plain,[-(a_select3(r_ds1_filter, 1216 ^ [], 1217 ^ []) = a_select3(r_ds1_filter, 1217 ^ [], 1216 ^ [])), leq(n0, 1216 ^ []), leq(n0, 1217 ^ []), leq(1216 ^ [], minus(n3, n1)), leq(1217 ^ [], minus(n3, n1))],extension(1129 ^ 3,bind([[_275340, _275342], [1217 ^ [], 1216 ^ []]]))).
% 0.35/1.39  ncf('1.2.1',plain,[-(leq(n0, 1216 ^ []))],extension(1219 ^ 4)).
% 0.35/1.39  ncf('1.2.2',plain,[-(leq(n0, 1217 ^ []))],extension(1221 ^ 4)).
% 0.35/1.39  ncf('1.2.3',plain,[-(leq(1216 ^ [], minus(n3, n1)))],extension(1223 ^ 4)).
% 0.35/1.39  ncf('1.2.4',plain,[-(leq(1217 ^ [], minus(n3, n1)))],extension(1225 ^ 4)).
% 0.35/1.39  ncf('1.3',plain,[-(a_select3(pminus_ds1_filter, 1228 ^ [], 1229 ^ []) = a_select3(pminus_ds1_filter, 1229 ^ [], 1228 ^ [])), leq(n0, 1228 ^ []), leq(n0, 1229 ^ []), leq(1228 ^ [], minus(n6, n1)), leq(1229 ^ [], minus(n6, n1))],extension(1147 ^ 3,bind([[_275833, _275835], [1229 ^ [], 1228 ^ []]]))).
% 0.35/1.39  ncf('1.3.1',plain,[-(leq(n0, 1228 ^ []))],extension(1231 ^ 4)).
% 0.35/1.39  ncf('1.3.2',plain,[-(leq(n0, 1229 ^ []))],extension(1233 ^ 4)).
% 0.35/1.39  ncf('1.3.3',plain,[-(leq(1228 ^ [], minus(n6, n1)))],extension(1235 ^ 4)).
% 0.35/1.39  ncf('1.3.4',plain,[-(leq(1229 ^ [], minus(n6, n1)))],extension(1237 ^ 4)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------