%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV222+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 12:20:12 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV222+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n024.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 02:26:06 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1041 ^ _226016) ^ [_265947, _265949] : [-(a_select3(q_ds1_filter, _265949, _265947) = a_select3(q_ds1_filter, _265947, _265949)), leq(n0, _265949), leq(n0, _265947), leq(_265949, n5), leq(_265947, n5)], (1059 ^ _226016) ^ [_266420, _266422] : [-(a_select3(r_ds1_filter, _266422, _266420) = a_select3(r_ds1_filter, _266420, _266422)), leq(n0, _266422), leq(n0, _266420), leq(_266422, n2), leq(_266420, n2)], (1079 ^ _226016) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _226016) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _226016) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _226016) ^ [] : [-(leq(1077 ^ [], n5))], (1305 ^ _226016) ^ [] : [a_select2(xinit_noise, n0) = n0], (1087 ^ _226016) ^ [] : [n0 = 1076 ^ [], n1 = 1077 ^ []], (1093 ^ _226016) ^ [] : [n0 = 1076 ^ [], n2 = 1077 ^ []], (1099 ^ _226016) ^ [] : [n0 = 1076 ^ [], n3 = 1077 ^ []], (1105 ^ _226016) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1111 ^ _226016) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1117 ^ _226016) ^ [] : [n0 = 1077 ^ [], n1 = 1076 ^ []], (1123 ^ _226016) ^ [] : [n0 = 1077 ^ [], n2 = 1076 ^ []], (1129 ^ _226016) ^ [] : [n0 = 1077 ^ [], n3 = 1076 ^ []], (1135 ^ _226016) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1141 ^ _226016) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1147 ^ _226016) ^ [] : [n1 = 1076 ^ [], n1 = 1077 ^ []], (1153 ^ _226016) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1159 ^ _226016) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1165 ^ _226016) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1171 ^ _226016) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1177 ^ _226016) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1183 ^ _226016) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1189 ^ _226016) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1195 ^ _226016) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1201 ^ _226016) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1207 ^ _226016) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1213 ^ _226016) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1219 ^ _226016) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1225 ^ _226016) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1231 ^ _226016) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1237 ^ _226016) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1243 ^ _226016) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1249 ^ _226016) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1255 ^ _226016) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1261 ^ _226016) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1267 ^ _226016) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1273 ^ _226016) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1279 ^ _226016) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1285 ^ _226016) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1297 ^ _226016) ^ [] : [-(n0 = 1076 ^ [])], (1299 ^ _226016) ^ [] : [-(n0 = 1077 ^ [])], (1301 ^ _226016) ^ [] : [-(n1 = 1076 ^ [])], (1303 ^ _226016) ^ [] : [-(n3 = 1077 ^ [])], (1291 ^ _226016) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _226016) ^ [_226160] : [-(_226160 = _226160)], (4 ^ _226016) ^ [_226267, _226269] : [_226269 = _226267, -(_226267 = _226269)], (10 ^ _226016) ^ [_226471, _226473, _226475] : [-(_226475 = _226471), _226475 = _226473, _226473 = _226471], (20 ^ _226016) ^ [_226812, _226814, _226816, _226818] : [-(lt(_226816, _226812)), lt(_226818, _226814), _226818 = _226816, _226814 = _226812], (34 ^ _226016) ^ [_227256, _227258, _227260, _227262] : [-(geq(_227260, _227256)), geq(_227262, _227258), _227262 = _227260, _227258 = _227256], (48 ^ _226016) ^ [_227700, _227702, _227704, _227706] : [-(gt(_227704, _227700)), gt(_227706, _227702), _227706 = _227704, _227702 = _227700], (62 ^ _226016) ^ [_228124, _228126, _228128, _228130] : [-(leq(_228128, _228124)), leq(_228130, _228126), _228130 = _228128, _228126 = _228124], (76 ^ _226016) ^ [_228580, _228582, _228584, _228586] : [-(uniform_int_rnd(_228586, _228582) = uniform_int_rnd(_228584, _228580)), _228586 = _228584, _228582 = _228580], (86 ^ _226016) ^ [_228939, _228941, _228943, _228945] : [-(tptp_const_array1(_228945, _228941) = tptp_const_array1(_228943, _228939)), _228945 = _228943, _228941 = _228939], (96 ^ _226016) ^ [_229326, _229328, _229330, _229332, _229334, _229336] : [-(tptp_const_array2(_229336, _229332, _229328) = tptp_const_array2(_229334, _229330, _229326)), _229336 = _229334, _229332 = _229330, _229328 = _229326], (110 ^ _226016) ^ [_229814, _229816, _229818, _229820] : [-(dim(_229820, _229816) = dim(_229818, _229814)), _229820 = _229818, _229816 = _229814], (120 ^ _226016) ^ [_230145, _230147] : [_230147 = _230145, -(inv(_230147) = inv(_230145))], (126 ^ _226016) ^ [_230391, _230393, _230395, _230397] : [-(tptp_msub(_230397, _230393) = tptp_msub(_230395, _230391)), _230397 = _230395, _230393 = _230391], (136 ^ _226016) ^ [_230750, _230752, _230754, _230756] : [-(tptp_madd(_230756, _230752) = tptp_madd(_230754, _230750)), _230756 = _230754, _230752 = _230750], (146 ^ _226016) ^ [_231109, _231111, _231113, _231115] : [-(tptp_mmul(_231115, _231111) = tptp_mmul(_231113, _231109)), _231115 = _231113, _231111 = _231109], (156 ^ _226016) ^ [_231440, _231442] : [_231442 = _231440, -(trans(_231442) = trans(_231440))], (162 ^ _226016) ^ [_231714, _231716, _231718, _231720, _231722, _231724] : [-(sum(_231724, _231720, _231716) = sum(_231722, _231718, _231714)), _231724 = _231722, _231720 = _231718, _231716 = _231714], (176 ^ _226016) ^ [_232202, _232204, _232206, _232208] : [-(plus(_232208, _232204) = plus(_232206, _232202)), _232208 = _232206, _232204 = _232202], (186 ^ _226016) ^ [_232533, _232535] : [_232535 = _232533, -(pred(_232535) = pred(_232533))], (192 ^ _226016) ^ [_232779, _232781, _232783, _232785] : [-(minus(_232785, _232781) = minus(_232783, _232779)), _232785 = _232783, _232781 = _232779], (202 ^ _226016) ^ [_233194, _233196, _233198, _233200, _233202, _233204, _233206, _233208] : [-(tptp_update3(_233208, _233204, _233200, _233196) = tptp_update3(_233206, _233202, _233198, _233194)), _233208 = _233206, _233204 = _233202, _233200 = _233198, _233196 = _233194], (220 ^ _226016) ^ [_233855, _233857, _233859, _233861, _233863, _233865] : [-(tptp_update2(_233865, _233861, _233857) = tptp_update2(_233863, _233859, _233855)), _233865 = _233863, _233861 = _233859, _233857 = _233855], (234 ^ _226016) ^ [_234315, _234317] : [_234317 = _234315, -(succ(_234317) = succ(_234315))], (254 ^ _226016) ^ [_235057, _235059, _235061, _235063] : [-(a_select2(_235063, _235059) = a_select2(_235061, _235057)), _235063 = _235061, _235059 = _235057], (240 ^ _226016) ^ [_234589, _234591, _234593, _234595, _234597, _234599] : [-(a_select3(_234599, _234595, _234591) = a_select3(_234597, _234593, _234589)), _234599 = _234597, _234595 = _234593, _234591 = _234589], (869 ^ _226016) ^ [] : [-(gt(n5, n4))], (871 ^ _226016) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _226016) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _226016) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _226016) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _226016) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _226016) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _226016) ^ [] : [-(gt(n4, n0))], (885 ^ _226016) ^ [] : [-(gt(n5, n0))], (887 ^ _226016) ^ [] : [-(gt(n1, n0))], (889 ^ _226016) ^ [] : [-(gt(n2, n0))], (891 ^ _226016) ^ [] : [-(gt(n3, n0))], (893 ^ _226016) ^ [] : [-(gt(n4, n1))], (895 ^ _226016) ^ [] : [-(gt(n5, n1))], (897 ^ _226016) ^ [] : [-(gt(n2, n1))], (899 ^ _226016) ^ [] : [-(gt(n3, n1))], (901 ^ _226016) ^ [] : [-(gt(n4, n2))], (903 ^ _226016) ^ [] : [-(gt(n5, n2))], (905 ^ _226016) ^ [] : [-(gt(n3, n2))], (907 ^ _226016) ^ [] : [-(gt(n4, n3))], (909 ^ _226016) ^ [] : [-(gt(n5, n3))], (911 ^ _226016) ^ [_262526] : [leq(n0, _262526), leq(_262526, n4), -(_262526 = n0), -(_262526 = n1), -(_262526 = n2), -(_262526 = n3), -(_262526 = n4)], (937 ^ _226016) ^ [_263147] : [leq(n0, _263147), leq(_263147, n5), -(_263147 = n0), -(_263147 = n1), -(_263147 = n2), -(_263147 = n3), -(_263147 = n4), -(_263147 = n5)], (967 ^ _226016) ^ [_263854] : [-(_263854 = n0), leq(n0, _263854), leq(_263854, n0)], (977 ^ _226016) ^ [_264129] : [leq(n0, _264129), leq(_264129, n1), -(_264129 = n0), -(_264129 = n1)], (991 ^ _226016) ^ [_264492] : [leq(n0, _264492), leq(_264492, n2), -(_264492 = n0), -(_264492 = n1), -(_264492 = n2)], (1031 ^ _226016) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _226016) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _226016) ^ [] : [-(succ(n0) = n1)], (1037 ^ _226016) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _226016) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _226016) ^ [_264941] : [leq(n0, _264941), leq(_264941, n3), -(_264941 = n0), -(_264941 = n1), -(_264941 = n2), -(_264941 = n3)], (264 ^ _226016) ^ [_235488, _235490] : [-(gt(_235490, _235488)), -(gt(_235488, _235490)), -(_235490 = _235488)], (274 ^ _226016) ^ [_235803, _235805, _235807] : [-(gt(_235807, _235803)), gt(_235807, _235805), gt(_235805, _235803)], (284 ^ _226016) ^ [_236082] : [gt(_236082, _236082)], (286 ^ _226016) ^ [_236160] : [-(leq(_236160, _236160))], (288 ^ _226016) ^ [_236281, _236283, _236285] : [-(leq(_236285, _236281)), leq(_236285, _236283), leq(_236283, _236281)], (298 ^ _226016) ^ [_236619, _236621] : [lt(_236621, _236619), -(gt(_236619, _236621))], (304 ^ _226016) ^ [_236781, _236783] : [gt(_236781, _236783), -(lt(_236783, _236781))], (310 ^ _226016) ^ [_237022, _237024] : [geq(_237024, _237022), -(leq(_237022, _237024))], (316 ^ _226016) ^ [_237184, _237186] : [leq(_237184, _237186), -(geq(_237186, _237184))], (322 ^ _226016) ^ [_237396, _237398] : [gt(_237396, _237398), -(leq(_237398, _237396))], (328 ^ _226016) ^ [_237606, _237608] : [-(gt(_237606, _237608)), leq(_237608, _237606), -(_237608 = _237606)], (338 ^ _226016) ^ [_237937, _237939] : [leq(_237939, pred(_237937)), -(gt(_237937, _237939))], (344 ^ _226016) ^ [_238103, _238105] : [gt(_238103, _238105), -(leq(_238105, pred(_238103)))], (350 ^ _226016) ^ [_238290] : [-(gt(succ(_238290), _238290))], (352 ^ _226016) ^ [_238399, _238401] : [leq(_238401, _238399), -(leq(_238401, succ(_238399)))], (358 ^ _226016) ^ [_238642, _238644] : [leq(_238644, _238642), -(gt(succ(_238642), _238644))], (364 ^ _226016) ^ [_238808, _238810] : [gt(succ(_238808), _238810), -(leq(_238810, _238808))], (370 ^ _226016) ^ [_239024, _239026] : [leq(n0, _239026), -(leq(uniform_int_rnd(_239024, _239026), _239026))], (376 ^ _226016) ^ [_239240, _239242] : [leq(n0, _239242), -(leq(n0, uniform_int_rnd(_239240, _239242)))], (382 ^ _226016) ^ [_239484, _239486, _239488, _239490] : [-(a_select2(tptp_const_array1(dim(_239488, _239486), _239484), _239490) = _239484), leq(_239488, _239490), leq(_239490, _239486)], (392 ^ _226016) ^ [_239891, _239893, _239895, _239897, _239899, _239901, _239903] : [-(a_select3(tptp_const_array2(dim(_239901, _239899), dim(_239895, _239893), _239891), _239903, _239897) = _239891), leq(_239901, _239903), leq(_239903, _239899), leq(_239895, _239897), leq(_239897, _239893)], (410 ^ _226016) ^ [_240486, _240488] : [413 ^ _226016 : [(414 ^ _226016) ^ [] : [-(leq(n0, 411 ^ [_240486, _240488]))], (416 ^ _226016) ^ [] : [-(leq(411 ^ [_240486, _240488], _240486))], (418 ^ _226016) ^ [] : [-(leq(n0, 412 ^ [_240486, _240488]))], (420 ^ _226016) ^ [] : [-(leq(412 ^ [_240486, _240488], _240486))], (422 ^ _226016) ^ [] : [a_select3(_240488, 411 ^ [_240486, _240488], 412 ^ [_240486, _240488]) = a_select3(_240488, 412 ^ [_240486, _240488], 411 ^ [_240486, _240488])]], 423 ^ _226016 : [(424 ^ _226016) ^ [_241243, _241245] : [-(a_select3(trans(_240488), _241245, _241243) = a_select3(trans(_240488), _241243, _241245)), leq(n0, _241245), leq(_241245, _240486), leq(n0, _241243), leq(_241243, _240486)]]], (442 ^ _226016) ^ [_241790, _241792] : [445 ^ _226016 : [(446 ^ _226016) ^ [] : [-(leq(n0, 443 ^ [_241790, _241792]))], (448 ^ _226016) ^ [] : [-(leq(443 ^ [_241790, _241792], _241790))], (450 ^ _226016) ^ [] : [-(leq(n0, 444 ^ [_241790, _241792]))], (452 ^ _226016) ^ [] : [-(leq(444 ^ [_241790, _241792], _241790))], (454 ^ _226016) ^ [] : [a_select3(_241792, 443 ^ [_241790, _241792], 444 ^ [_241790, _241792]) = a_select3(_241792, 444 ^ [_241790, _241792], 443 ^ [_241790, _241792])]], 455 ^ _226016 : [(456 ^ _226016) ^ [_242547, _242549] : [-(a_select3(inv(_241792), _242549, _242547) = a_select3(inv(_241792), _242547, _242549)), leq(n0, _242549), leq(_242549, _241790), leq(n0, _242547), leq(_242547, _241790)]]], (474 ^ _226016) ^ [_243094, _243096] : [477 ^ _226016 : [(478 ^ _226016) ^ [] : [-(leq(n0, 475 ^ [_243094, _243096]))], (480 ^ _226016) ^ [] : [-(leq(475 ^ [_243094, _243096], _243094))], (482 ^ _226016) ^ [] : [-(leq(n0, 476 ^ [_243094, _243096]))], (484 ^ _226016) ^ [] : [-(leq(476 ^ [_243094, _243096], _243094))], (486 ^ _226016) ^ [] : [a_select3(_243096, 475 ^ [_243094, _243096], 476 ^ [_243094, _243096]) = a_select3(_243096, 476 ^ [_243094, _243096], 475 ^ [_243094, _243096])]], 487 ^ _226016 : [(488 ^ _226016) ^ [_243907, _243909, _243911, _243913] : [-(a_select3(tptp_update3(_243096, _243909, _243909, _243907), _243913, _243911) = a_select3(tptp_update3(_243096, _243909, _243909, _243907), _243911, _243913)), leq(n0, _243913), leq(_243913, _243094), leq(n0, _243911), leq(_243911, _243094), leq(n0, _243909), leq(_243909, _243094)]]], (514 ^ _226016) ^ [_244726, _244728, _244730] : [519 ^ _226016 : [(520 ^ _226016) ^ [] : [-(leq(n0, 517 ^ [_244726, _244728, _244730]))], (522 ^ _226016) ^ [] : [-(leq(517 ^ [_244726, _244728, _244730], _244726))], (524 ^ _226016) ^ [] : [-(leq(n0, 518 ^ [_244726, _244728, _244730]))], (526 ^ _226016) ^ [] : [-(leq(518 ^ [_244726, _244728, _244730], _244726))], (528 ^ _226016) ^ [] : [a_select3(_244730, 517 ^ [_244726, _244728, _244730], 518 ^ [_244726, _244728, _244730]) = a_select3(_244730, 518 ^ [_244726, _244728, _244730], 517 ^ [_244726, _244728, _244730])]], 531 ^ _226016 : [(532 ^ _226016) ^ [] : [-(leq(n0, 529 ^ [_244726, _244728, _244730]))], (534 ^ _226016) ^ [] : [-(leq(529 ^ [_244726, _244728, _244730], _244726))], (536 ^ _226016) ^ [] : [-(leq(n0, 530 ^ [_244726, _244728, _244730]))], (538 ^ _226016) ^ [] : [-(leq(530 ^ [_244726, _244728, _244730], _244726))], (540 ^ _226016) ^ [] : [a_select3(_244728, 529 ^ [_244726, _244728, _244730], 530 ^ [_244726, _244728, _244730]) = a_select3(_244728, 530 ^ [_244726, _244728, _244730], 529 ^ [_244726, _244728, _244730])]], 541 ^ _226016 : [(542 ^ _226016) ^ [_246235, _246237] : [-(a_select3(tptp_madd(_244730, _244728), _246237, _246235) = a_select3(tptp_madd(_244730, _244728), _246235, _246237)), leq(n0, _246237), leq(_246237, _244726), leq(n0, _246235), leq(_246235, _244726)]]], (560 ^ _226016) ^ [_246821, _246823, _246825] : [565 ^ _226016 : [(566 ^ _226016) ^ [] : [-(leq(n0, 563 ^ [_246821, _246823, _246825]))], (568 ^ _226016) ^ [] : [-(leq(563 ^ [_246821, _246823, _246825], _246821))], (570 ^ _226016) ^ [] : [-(leq(n0, 564 ^ [_246821, _246823, _246825]))], (572 ^ _226016) ^ [] : [-(leq(564 ^ [_246821, _246823, _246825], _246821))], (574 ^ _226016) ^ [] : [a_select3(_246825, 563 ^ [_246821, _246823, _246825], 564 ^ [_246821, _246823, _246825]) = a_select3(_246825, 564 ^ [_246821, _246823, _246825], 563 ^ [_246821, _246823, _246825])]], 577 ^ _226016 : [(578 ^ _226016) ^ [] : [-(leq(n0, 575 ^ [_246821, _246823, _246825]))], (580 ^ _226016) ^ [] : [-(leq(575 ^ [_246821, _246823, _246825], _246821))], (582 ^ _226016) ^ [] : [-(leq(n0, 576 ^ [_246821, _246823, _246825]))], (584 ^ _226016) ^ [] : [-(leq(576 ^ [_246821, _246823, _246825], _246821))], (586 ^ _226016) ^ [] : [a_select3(_246823, 575 ^ [_246821, _246823, _246825], 576 ^ [_246821, _246823, _246825]) = a_select3(_246823, 576 ^ [_246821, _246823, _246825], 575 ^ [_246821, _246823, _246825])]], 587 ^ _226016 : [(588 ^ _226016) ^ [_248330, _248332] : [-(a_select3(tptp_msub(_246825, _246823), _248332, _248330) = a_select3(tptp_msub(_246825, _246823), _248330, _248332)), leq(n0, _248332), leq(_248332, _246821), leq(n0, _248330), leq(_248330, _246821)]]], (606 ^ _226016) ^ [_248916, _248918, _248920] : [609 ^ _226016 : [(610 ^ _226016) ^ [] : [-(leq(n0, 607 ^ [_248916, _248918, _248920]))], (612 ^ _226016) ^ [] : [-(leq(607 ^ [_248916, _248918, _248920], _248916))], (614 ^ _226016) ^ [] : [-(leq(n0, 608 ^ [_248916, _248918, _248920]))], (616 ^ _226016) ^ [] : [-(leq(608 ^ [_248916, _248918, _248920], _248916))], (618 ^ _226016) ^ [] : [a_select3(_248918, 607 ^ [_248916, _248918, _248920], 608 ^ [_248916, _248918, _248920]) = a_select3(_248918, 608 ^ [_248916, _248918, _248920], 607 ^ [_248916, _248918, _248920])]], 619 ^ _226016 : [(620 ^ _226016) ^ [_249729, _249731] : [-(a_select3(tptp_mmul(_248920, tptp_mmul(_248918, trans(_248920))), _249731, _249729) = a_select3(tptp_mmul(_248920, tptp_mmul(_248918, trans(_248920))), _249729, _249731)), leq(n0, _249731), leq(_249731, _248916), leq(n0, _249729), leq(_249729, _248916)]]], (638 ^ _226016) ^ [_250348, _250350, _250352, _250354] : [641 ^ _226016 : [(642 ^ _226016) ^ [] : [-(leq(n0, 639 ^ [_250348, _250350, _250352, _250354]))], (644 ^ _226016) ^ [] : [-(leq(639 ^ [_250348, _250350, _250352, _250354], _250348))], (646 ^ _226016) ^ [] : [-(leq(n0, 640 ^ [_250348, _250350, _250352, _250354]))], (648 ^ _226016) ^ [] : [-(leq(640 ^ [_250348, _250350, _250352, _250354], _250348))], (650 ^ _226016) ^ [] : [a_select3(_250352, 639 ^ [_250348, _250350, _250352, _250354], 640 ^ [_250348, _250350, _250352, _250354]) = a_select3(_250352, 640 ^ [_250348, _250350, _250352, _250354], 639 ^ [_250348, _250350, _250352, _250354])]], 651 ^ _226016 : [(652 ^ _226016) ^ [_251205, _251207] : [-(a_select3(tptp_mmul(_250354, tptp_mmul(_250352, trans(_250354))), _251207, _251205) = a_select3(tptp_mmul(_250354, tptp_mmul(_250352, trans(_250354))), _251205, _251207)), leq(n0, _251207), leq(_251207, _250350), leq(n0, _251205), leq(_251205, _250350)]]], (670 ^ _226016) ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914] : [675 ^ _226016 : [(676 ^ _226016) ^ [] : [-(leq(n0, 673 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (678 ^ _226016) ^ [] : [-(leq(673 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251900))], (680 ^ _226016) ^ [] : [-(leq(n0, 674 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (682 ^ _226016) ^ [] : [-(leq(674 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251900))], (684 ^ _226016) ^ [] : [a_select3(_251908, 673 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 674 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]) = a_select3(_251908, 674 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 673 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914])]], 689 ^ _226016 : [(690 ^ _226016) ^ [] : [-(leq(n0, 687 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (692 ^ _226016) ^ [] : [-(leq(687 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251902))], (694 ^ _226016) ^ [] : [-(leq(n0, 688 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (696 ^ _226016) ^ [] : [-(leq(688 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251902))], (698 ^ _226016) ^ [] : [a_select3(_251914, 687 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 688 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]) = a_select3(_251914, 688 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 687 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914])]], 701 ^ _226016 : [(702 ^ _226016) ^ [] : [-(leq(n0, 699 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (704 ^ _226016) ^ [] : [-(leq(699 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251902))], (706 ^ _226016) ^ [] : [-(leq(n0, 700 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]))], (708 ^ _226016) ^ [] : [-(leq(700 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], _251902))], (710 ^ _226016) ^ [] : [a_select3(_251904, 699 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 700 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914]) = a_select3(_251904, 700 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914], 699 ^ [_251900, _251902, _251904, _251906, _251908, _251910, _251912, _251914])]], 711 ^ _226016 : [(712 ^ _226016) ^ [_254828, _254830] : [-(a_select3(tptp_madd(_251914, tptp_mmul(_251912, tptp_mmul(tptp_madd(tptp_mmul(_251910, tptp_mmul(_251908, trans(_251910))), tptp_mmul(_251906, tptp_mmul(_251904, trans(_251906)))), trans(_251912)))), _254830, _254828) = a_select3(tptp_madd(_251914, tptp_mmul(_251912, tptp_mmul(tptp_madd(tptp_mmul(_251910, tptp_mmul(_251908, trans(_251910))), tptp_mmul(_251906, tptp_mmul(_251904, trans(_251906)))), trans(_251912)))), _254828, _254830)), leq(n0, _254830), leq(_254830, _251902), leq(n0, _254828), leq(_254828, _251902)]]], (730 ^ _226016) ^ [_255581] : [-(sum(n0, tptp_minus_1, _255581) = n0)], (732 ^ _226016) ^ [_255663] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _255663))], (734 ^ _226016) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _226016) ^ [_255798] : [-(plus(_255798, n1) = succ(_255798))], (738 ^ _226016) ^ [_255881] : [-(plus(n1, _255881) = succ(_255881))], (740 ^ _226016) ^ [_255964] : [-(plus(_255964, n2) = succ(succ(_255964)))], (742 ^ _226016) ^ [_256049] : [-(plus(n2, _256049) = succ(succ(_256049)))], (744 ^ _226016) ^ [_256134] : [-(plus(_256134, n3) = succ(succ(succ(_256134))))], (746 ^ _226016) ^ [_256221] : [-(plus(n3, _256221) = succ(succ(succ(_256221))))], (748 ^ _226016) ^ [_256308] : [-(plus(_256308, n4) = succ(succ(succ(succ(_256308)))))], (750 ^ _226016) ^ [_256397] : [-(plus(n4, _256397) = succ(succ(succ(succ(_256397)))))], (752 ^ _226016) ^ [_256486] : [-(plus(_256486, n5) = succ(succ(succ(succ(succ(_256486))))))], (754 ^ _226016) ^ [_256577] : [-(plus(n5, _256577) = succ(succ(succ(succ(succ(_256577))))))], (756 ^ _226016) ^ [_256668] : [-(minus(_256668, n1) = pred(_256668))], (758 ^ _226016) ^ [_256751] : [-(pred(succ(_256751)) = _256751)], (760 ^ _226016) ^ [_256833] : [-(succ(pred(_256833)) = _256833)], (762 ^ _226016) ^ [_256973, _256975] : [leq(succ(_256975), succ(_256973)), -(leq(_256975, _256973))], (768 ^ _226016) ^ [_257143, _257145] : [leq(_257145, _257143), -(leq(succ(_257145), succ(_257143)))], (774 ^ _226016) ^ [_257363, _257365] : [leq(succ(_257365), _257363), -(gt(_257363, _257365))], (780 ^ _226016) ^ [_257577, _257579] : [leq(minus(_257579, _257577), _257579), -(leq(n0, _257577))], (786 ^ _226016) ^ [_257806, _257808, _257810, _257812] : [-(a_select3(tptp_update3(_257812, _257810, _257808, _257806), _257810, _257808) = _257806)], (788 ^ _226016) ^ [_257998, _258000, _258002, _258004, _258006, _258008, _258010] : [-(a_select3(tptp_update3(_258002, _258010, _258008, _257998), _258006, _258004) = _258000), -(_258010 = _258006), _258008 = _258004, a_select3(_258002, _258006, _258004) = _258000], (802 ^ _226016) ^ [_258541, _258543, _258545, _258547, _258549, _258551] : [-(a_select3(tptp_update3(_258543, _258547, _258545, _258541), _258551, _258549) = _258541), 807 ^ _226016 : [(808 ^ _226016) ^ [] : [-(leq(n0, 805 ^ [_258541, _258543, _258545, _258547, _258549, _258551]))], (810 ^ _226016) ^ [] : [-(leq(n0, 806 ^ [_258541, _258543, _258545, _258547, _258549, _258551]))], (812 ^ _226016) ^ [] : [-(leq(805 ^ [_258541, _258543, _258545, _258547, _258549, _258551], _258547))], (814 ^ _226016) ^ [] : [-(leq(806 ^ [_258541, _258543, _258545, _258547, _258549, _258551], _258545))], (816 ^ _226016) ^ [] : [a_select3(_258543, 805 ^ [_258541, _258543, _258545, _258547, _258549, _258551], 806 ^ [_258541, _258543, _258545, _258547, _258549, _258551]) = _258541]], leq(n0, _258551), leq(_258551, _258547), leq(n0, _258549), leq(_258549, _258545)], (834 ^ _226016) ^ [_259883, _259885, _259887] : [-(a_select2(tptp_update2(_259887, _259885, _259883), _259885) = _259883)], (836 ^ _226016) ^ [_260043, _260045, _260047, _260049, _260051] : [-(a_select2(tptp_update2(_260047, _260051, _260043), _260049) = _260045), -(_260051 = _260049), a_select2(_260047, _260049) = _260045], (865 ^ _226016) ^ [] : [-(true)], (867 ^ _226016) ^ [] : [def = use], (846 ^ _226016) ^ [_260423, _260425, _260427, _260429] : [-(a_select2(tptp_update2(_260425, _260427, _260423), _260429) = _260423), 850 ^ _226016 : [(851 ^ _226016) ^ [] : [-(leq(n0, 849 ^ [_260423, _260425, _260427, _260429]))], (853 ^ _226016) ^ [] : [-(leq(849 ^ [_260423, _260425, _260427, _260429], _260427))], (855 ^ _226016) ^ [] : [a_select2(_260425, 849 ^ [_260423, _260425, _260427, _260429]) = _260423]], leq(n0, _260429), leq(_260429, _260427)]], input).
% 0.33/1.38  ncf('1',plain,[n0 = 1076 ^ [], n3 = 1077 ^ []],start(1099 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(n0 = 1076 ^ [])],extension(1297 ^ 1)).
% 0.33/1.38  ncf('1.2',plain,[-(n3 = 1077 ^ [])],extension(1303 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------