%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV226+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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
% 0.07/0.12  % Problem  : SWV226+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n026.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 02:56:35 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 ^ _223351) ^ [_263282, _263284] : [-(a_select3(q_ds1_filter, _263284, _263282) = a_select3(q_ds1_filter, _263282, _263284)), leq(n0, _263284), leq(n0, _263282), leq(_263284, n5), leq(_263282, n5)], (1059 ^ _223351) ^ [_263755, _263757] : [-(a_select3(r_ds1_filter, _263757, _263755) = a_select3(r_ds1_filter, _263755, _263757)), leq(n0, _263757), leq(n0, _263755), leq(_263757, n2), leq(_263755, n2)], (1079 ^ _223351) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _223351) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _223351) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _223351) ^ [] : [-(leq(1077 ^ [], n5))], (1281 ^ _223351) ^ [] : [a_select2(xinit_noise, n1) = a_select2(xinit_noise, n2)], (1087 ^ _223351) ^ [] : [n0 = 1076 ^ [], n3 = 1077 ^ []], (1093 ^ _223351) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1099 ^ _223351) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1105 ^ _223351) ^ [] : [n0 = 1077 ^ [], n2 = 1076 ^ []], (1111 ^ _223351) ^ [] : [n0 = 1077 ^ [], n3 = 1076 ^ []], (1117 ^ _223351) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1123 ^ _223351) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1129 ^ _223351) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1135 ^ _223351) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1141 ^ _223351) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1147 ^ _223351) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1153 ^ _223351) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1159 ^ _223351) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1165 ^ _223351) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1171 ^ _223351) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1177 ^ _223351) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1183 ^ _223351) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1189 ^ _223351) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1195 ^ _223351) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1201 ^ _223351) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1207 ^ _223351) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1213 ^ _223351) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1219 ^ _223351) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1225 ^ _223351) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1231 ^ _223351) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1237 ^ _223351) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1243 ^ _223351) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1249 ^ _223351) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1255 ^ _223351) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1261 ^ _223351) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1273 ^ _223351) ^ [] : [-(n1 = 1076 ^ [])], (1275 ^ _223351) ^ [] : [-(n1 = 1077 ^ [])], (1277 ^ _223351) ^ [] : [-(n2 = 1076 ^ [])], (1279 ^ _223351) ^ [] : [-(n2 = 1077 ^ [])], (1267 ^ _223351) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _223351) ^ [_223495] : [-(_223495 = _223495)], (4 ^ _223351) ^ [_223602, _223604] : [_223604 = _223602, -(_223602 = _223604)], (10 ^ _223351) ^ [_223806, _223808, _223810] : [-(_223810 = _223806), _223810 = _223808, _223808 = _223806], (20 ^ _223351) ^ [_224147, _224149, _224151, _224153] : [-(lt(_224151, _224147)), lt(_224153, _224149), _224153 = _224151, _224149 = _224147], (34 ^ _223351) ^ [_224591, _224593, _224595, _224597] : [-(geq(_224595, _224591)), geq(_224597, _224593), _224597 = _224595, _224593 = _224591], (48 ^ _223351) ^ [_225035, _225037, _225039, _225041] : [-(gt(_225039, _225035)), gt(_225041, _225037), _225041 = _225039, _225037 = _225035], (62 ^ _223351) ^ [_225459, _225461, _225463, _225465] : [-(leq(_225463, _225459)), leq(_225465, _225461), _225465 = _225463, _225461 = _225459], (76 ^ _223351) ^ [_225915, _225917, _225919, _225921] : [-(uniform_int_rnd(_225921, _225917) = uniform_int_rnd(_225919, _225915)), _225921 = _225919, _225917 = _225915], (86 ^ _223351) ^ [_226274, _226276, _226278, _226280] : [-(tptp_const_array1(_226280, _226276) = tptp_const_array1(_226278, _226274)), _226280 = _226278, _226276 = _226274], (96 ^ _223351) ^ [_226661, _226663, _226665, _226667, _226669, _226671] : [-(tptp_const_array2(_226671, _226667, _226663) = tptp_const_array2(_226669, _226665, _226661)), _226671 = _226669, _226667 = _226665, _226663 = _226661], (110 ^ _223351) ^ [_227149, _227151, _227153, _227155] : [-(dim(_227155, _227151) = dim(_227153, _227149)), _227155 = _227153, _227151 = _227149], (120 ^ _223351) ^ [_227480, _227482] : [_227482 = _227480, -(inv(_227482) = inv(_227480))], (126 ^ _223351) ^ [_227726, _227728, _227730, _227732] : [-(tptp_msub(_227732, _227728) = tptp_msub(_227730, _227726)), _227732 = _227730, _227728 = _227726], (136 ^ _223351) ^ [_228085, _228087, _228089, _228091] : [-(tptp_madd(_228091, _228087) = tptp_madd(_228089, _228085)), _228091 = _228089, _228087 = _228085], (146 ^ _223351) ^ [_228444, _228446, _228448, _228450] : [-(tptp_mmul(_228450, _228446) = tptp_mmul(_228448, _228444)), _228450 = _228448, _228446 = _228444], (156 ^ _223351) ^ [_228775, _228777] : [_228777 = _228775, -(trans(_228777) = trans(_228775))], (162 ^ _223351) ^ [_229049, _229051, _229053, _229055, _229057, _229059] : [-(sum(_229059, _229055, _229051) = sum(_229057, _229053, _229049)), _229059 = _229057, _229055 = _229053, _229051 = _229049], (176 ^ _223351) ^ [_229537, _229539, _229541, _229543] : [-(plus(_229543, _229539) = plus(_229541, _229537)), _229543 = _229541, _229539 = _229537], (186 ^ _223351) ^ [_229868, _229870] : [_229870 = _229868, -(pred(_229870) = pred(_229868))], (192 ^ _223351) ^ [_230114, _230116, _230118, _230120] : [-(minus(_230120, _230116) = minus(_230118, _230114)), _230120 = _230118, _230116 = _230114], (202 ^ _223351) ^ [_230529, _230531, _230533, _230535, _230537, _230539, _230541, _230543] : [-(tptp_update3(_230543, _230539, _230535, _230531) = tptp_update3(_230541, _230537, _230533, _230529)), _230543 = _230541, _230539 = _230537, _230535 = _230533, _230531 = _230529], (220 ^ _223351) ^ [_231190, _231192, _231194, _231196, _231198, _231200] : [-(tptp_update2(_231200, _231196, _231192) = tptp_update2(_231198, _231194, _231190)), _231200 = _231198, _231196 = _231194, _231192 = _231190], (234 ^ _223351) ^ [_231650, _231652] : [_231652 = _231650, -(succ(_231652) = succ(_231650))], (254 ^ _223351) ^ [_232392, _232394, _232396, _232398] : [-(a_select2(_232398, _232394) = a_select2(_232396, _232392)), _232398 = _232396, _232394 = _232392], (240 ^ _223351) ^ [_231924, _231926, _231928, _231930, _231932, _231934] : [-(a_select3(_231934, _231930, _231926) = a_select3(_231932, _231928, _231924)), _231934 = _231932, _231930 = _231928, _231926 = _231924], (869 ^ _223351) ^ [] : [-(gt(n5, n4))], (871 ^ _223351) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _223351) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _223351) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _223351) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _223351) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _223351) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _223351) ^ [] : [-(gt(n4, n0))], (885 ^ _223351) ^ [] : [-(gt(n5, n0))], (887 ^ _223351) ^ [] : [-(gt(n1, n0))], (889 ^ _223351) ^ [] : [-(gt(n2, n0))], (891 ^ _223351) ^ [] : [-(gt(n3, n0))], (893 ^ _223351) ^ [] : [-(gt(n4, n1))], (895 ^ _223351) ^ [] : [-(gt(n5, n1))], (897 ^ _223351) ^ [] : [-(gt(n2, n1))], (899 ^ _223351) ^ [] : [-(gt(n3, n1))], (901 ^ _223351) ^ [] : [-(gt(n4, n2))], (903 ^ _223351) ^ [] : [-(gt(n5, n2))], (905 ^ _223351) ^ [] : [-(gt(n3, n2))], (907 ^ _223351) ^ [] : [-(gt(n4, n3))], (909 ^ _223351) ^ [] : [-(gt(n5, n3))], (911 ^ _223351) ^ [_259861] : [leq(n0, _259861), leq(_259861, n4), -(_259861 = n0), -(_259861 = n1), -(_259861 = n2), -(_259861 = n3), -(_259861 = n4)], (937 ^ _223351) ^ [_260482] : [leq(n0, _260482), leq(_260482, n5), -(_260482 = n0), -(_260482 = n1), -(_260482 = n2), -(_260482 = n3), -(_260482 = n4), -(_260482 = n5)], (967 ^ _223351) ^ [_261189] : [-(_261189 = n0), leq(n0, _261189), leq(_261189, n0)], (977 ^ _223351) ^ [_261464] : [leq(n0, _261464), leq(_261464, n1), -(_261464 = n0), -(_261464 = n1)], (991 ^ _223351) ^ [_261827] : [leq(n0, _261827), leq(_261827, n2), -(_261827 = n0), -(_261827 = n1), -(_261827 = n2)], (1031 ^ _223351) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _223351) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _223351) ^ [] : [-(succ(n0) = n1)], (1037 ^ _223351) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _223351) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _223351) ^ [_262276] : [leq(n0, _262276), leq(_262276, n3), -(_262276 = n0), -(_262276 = n1), -(_262276 = n2), -(_262276 = n3)], (264 ^ _223351) ^ [_232823, _232825] : [-(gt(_232825, _232823)), -(gt(_232823, _232825)), -(_232825 = _232823)], (274 ^ _223351) ^ [_233138, _233140, _233142] : [-(gt(_233142, _233138)), gt(_233142, _233140), gt(_233140, _233138)], (284 ^ _223351) ^ [_233417] : [gt(_233417, _233417)], (286 ^ _223351) ^ [_233495] : [-(leq(_233495, _233495))], (288 ^ _223351) ^ [_233616, _233618, _233620] : [-(leq(_233620, _233616)), leq(_233620, _233618), leq(_233618, _233616)], (298 ^ _223351) ^ [_233954, _233956] : [lt(_233956, _233954), -(gt(_233954, _233956))], (304 ^ _223351) ^ [_234116, _234118] : [gt(_234116, _234118), -(lt(_234118, _234116))], (310 ^ _223351) ^ [_234357, _234359] : [geq(_234359, _234357), -(leq(_234357, _234359))], (316 ^ _223351) ^ [_234519, _234521] : [leq(_234519, _234521), -(geq(_234521, _234519))], (322 ^ _223351) ^ [_234731, _234733] : [gt(_234731, _234733), -(leq(_234733, _234731))], (328 ^ _223351) ^ [_234941, _234943] : [-(gt(_234941, _234943)), leq(_234943, _234941), -(_234943 = _234941)], (338 ^ _223351) ^ [_235272, _235274] : [leq(_235274, pred(_235272)), -(gt(_235272, _235274))], (344 ^ _223351) ^ [_235438, _235440] : [gt(_235438, _235440), -(leq(_235440, pred(_235438)))], (350 ^ _223351) ^ [_235625] : [-(gt(succ(_235625), _235625))], (352 ^ _223351) ^ [_235734, _235736] : [leq(_235736, _235734), -(leq(_235736, succ(_235734)))], (358 ^ _223351) ^ [_235977, _235979] : [leq(_235979, _235977), -(gt(succ(_235977), _235979))], (364 ^ _223351) ^ [_236143, _236145] : [gt(succ(_236143), _236145), -(leq(_236145, _236143))], (370 ^ _223351) ^ [_236359, _236361] : [leq(n0, _236361), -(leq(uniform_int_rnd(_236359, _236361), _236361))], (376 ^ _223351) ^ [_236575, _236577] : [leq(n0, _236577), -(leq(n0, uniform_int_rnd(_236575, _236577)))], (382 ^ _223351) ^ [_236819, _236821, _236823, _236825] : [-(a_select2(tptp_const_array1(dim(_236823, _236821), _236819), _236825) = _236819), leq(_236823, _236825), leq(_236825, _236821)], (392 ^ _223351) ^ [_237226, _237228, _237230, _237232, _237234, _237236, _237238] : [-(a_select3(tptp_const_array2(dim(_237236, _237234), dim(_237230, _237228), _237226), _237238, _237232) = _237226), leq(_237236, _237238), leq(_237238, _237234), leq(_237230, _237232), leq(_237232, _237228)], (410 ^ _223351) ^ [_237821, _237823] : [413 ^ _223351 : [(414 ^ _223351) ^ [] : [-(leq(n0, 411 ^ [_237821, _237823]))], (416 ^ _223351) ^ [] : [-(leq(411 ^ [_237821, _237823], _237821))], (418 ^ _223351) ^ [] : [-(leq(n0, 412 ^ [_237821, _237823]))], (420 ^ _223351) ^ [] : [-(leq(412 ^ [_237821, _237823], _237821))], (422 ^ _223351) ^ [] : [a_select3(_237823, 411 ^ [_237821, _237823], 412 ^ [_237821, _237823]) = a_select3(_237823, 412 ^ [_237821, _237823], 411 ^ [_237821, _237823])]], 423 ^ _223351 : [(424 ^ _223351) ^ [_238578, _238580] : [-(a_select3(trans(_237823), _238580, _238578) = a_select3(trans(_237823), _238578, _238580)), leq(n0, _238580), leq(_238580, _237821), leq(n0, _238578), leq(_238578, _237821)]]], (442 ^ _223351) ^ [_239125, _239127] : [445 ^ _223351 : [(446 ^ _223351) ^ [] : [-(leq(n0, 443 ^ [_239125, _239127]))], (448 ^ _223351) ^ [] : [-(leq(443 ^ [_239125, _239127], _239125))], (450 ^ _223351) ^ [] : [-(leq(n0, 444 ^ [_239125, _239127]))], (452 ^ _223351) ^ [] : [-(leq(444 ^ [_239125, _239127], _239125))], (454 ^ _223351) ^ [] : [a_select3(_239127, 443 ^ [_239125, _239127], 444 ^ [_239125, _239127]) = a_select3(_239127, 444 ^ [_239125, _239127], 443 ^ [_239125, _239127])]], 455 ^ _223351 : [(456 ^ _223351) ^ [_239882, _239884] : [-(a_select3(inv(_239127), _239884, _239882) = a_select3(inv(_239127), _239882, _239884)), leq(n0, _239884), leq(_239884, _239125), leq(n0, _239882), leq(_239882, _239125)]]], (474 ^ _223351) ^ [_240429, _240431] : [477 ^ _223351 : [(478 ^ _223351) ^ [] : [-(leq(n0, 475 ^ [_240429, _240431]))], (480 ^ _223351) ^ [] : [-(leq(475 ^ [_240429, _240431], _240429))], (482 ^ _223351) ^ [] : [-(leq(n0, 476 ^ [_240429, _240431]))], (484 ^ _223351) ^ [] : [-(leq(476 ^ [_240429, _240431], _240429))], (486 ^ _223351) ^ [] : [a_select3(_240431, 475 ^ [_240429, _240431], 476 ^ [_240429, _240431]) = a_select3(_240431, 476 ^ [_240429, _240431], 475 ^ [_240429, _240431])]], 487 ^ _223351 : [(488 ^ _223351) ^ [_241242, _241244, _241246, _241248] : [-(a_select3(tptp_update3(_240431, _241244, _241244, _241242), _241248, _241246) = a_select3(tptp_update3(_240431, _241244, _241244, _241242), _241246, _241248)), leq(n0, _241248), leq(_241248, _240429), leq(n0, _241246), leq(_241246, _240429), leq(n0, _241244), leq(_241244, _240429)]]], (514 ^ _223351) ^ [_242061, _242063, _242065] : [519 ^ _223351 : [(520 ^ _223351) ^ [] : [-(leq(n0, 517 ^ [_242061, _242063, _242065]))], (522 ^ _223351) ^ [] : [-(leq(517 ^ [_242061, _242063, _242065], _242061))], (524 ^ _223351) ^ [] : [-(leq(n0, 518 ^ [_242061, _242063, _242065]))], (526 ^ _223351) ^ [] : [-(leq(518 ^ [_242061, _242063, _242065], _242061))], (528 ^ _223351) ^ [] : [a_select3(_242065, 517 ^ [_242061, _242063, _242065], 518 ^ [_242061, _242063, _242065]) = a_select3(_242065, 518 ^ [_242061, _242063, _242065], 517 ^ [_242061, _242063, _242065])]], 531 ^ _223351 : [(532 ^ _223351) ^ [] : [-(leq(n0, 529 ^ [_242061, _242063, _242065]))], (534 ^ _223351) ^ [] : [-(leq(529 ^ [_242061, _242063, _242065], _242061))], (536 ^ _223351) ^ [] : [-(leq(n0, 530 ^ [_242061, _242063, _242065]))], (538 ^ _223351) ^ [] : [-(leq(530 ^ [_242061, _242063, _242065], _242061))], (540 ^ _223351) ^ [] : [a_select3(_242063, 529 ^ [_242061, _242063, _242065], 530 ^ [_242061, _242063, _242065]) = a_select3(_242063, 530 ^ [_242061, _242063, _242065], 529 ^ [_242061, _242063, _242065])]], 541 ^ _223351 : [(542 ^ _223351) ^ [_243570, _243572] : [-(a_select3(tptp_madd(_242065, _242063), _243572, _243570) = a_select3(tptp_madd(_242065, _242063), _243570, _243572)), leq(n0, _243572), leq(_243572, _242061), leq(n0, _243570), leq(_243570, _242061)]]], (560 ^ _223351) ^ [_244156, _244158, _244160] : [565 ^ _223351 : [(566 ^ _223351) ^ [] : [-(leq(n0, 563 ^ [_244156, _244158, _244160]))], (568 ^ _223351) ^ [] : [-(leq(563 ^ [_244156, _244158, _244160], _244156))], (570 ^ _223351) ^ [] : [-(leq(n0, 564 ^ [_244156, _244158, _244160]))], (572 ^ _223351) ^ [] : [-(leq(564 ^ [_244156, _244158, _244160], _244156))], (574 ^ _223351) ^ [] : [a_select3(_244160, 563 ^ [_244156, _244158, _244160], 564 ^ [_244156, _244158, _244160]) = a_select3(_244160, 564 ^ [_244156, _244158, _244160], 563 ^ [_244156, _244158, _244160])]], 577 ^ _223351 : [(578 ^ _223351) ^ [] : [-(leq(n0, 575 ^ [_244156, _244158, _244160]))], (580 ^ _223351) ^ [] : [-(leq(575 ^ [_244156, _244158, _244160], _244156))], (582 ^ _223351) ^ [] : [-(leq(n0, 576 ^ [_244156, _244158, _244160]))], (584 ^ _223351) ^ [] : [-(leq(576 ^ [_244156, _244158, _244160], _244156))], (586 ^ _223351) ^ [] : [a_select3(_244158, 575 ^ [_244156, _244158, _244160], 576 ^ [_244156, _244158, _244160]) = a_select3(_244158, 576 ^ [_244156, _244158, _244160], 575 ^ [_244156, _244158, _244160])]], 587 ^ _223351 : [(588 ^ _223351) ^ [_245665, _245667] : [-(a_select3(tptp_msub(_244160, _244158), _245667, _245665) = a_select3(tptp_msub(_244160, _244158), _245665, _245667)), leq(n0, _245667), leq(_245667, _244156), leq(n0, _245665), leq(_245665, _244156)]]], (606 ^ _223351) ^ [_246251, _246253, _246255] : [609 ^ _223351 : [(610 ^ _223351) ^ [] : [-(leq(n0, 607 ^ [_246251, _246253, _246255]))], (612 ^ _223351) ^ [] : [-(leq(607 ^ [_246251, _246253, _246255], _246251))], (614 ^ _223351) ^ [] : [-(leq(n0, 608 ^ [_246251, _246253, _246255]))], (616 ^ _223351) ^ [] : [-(leq(608 ^ [_246251, _246253, _246255], _246251))], (618 ^ _223351) ^ [] : [a_select3(_246253, 607 ^ [_246251, _246253, _246255], 608 ^ [_246251, _246253, _246255]) = a_select3(_246253, 608 ^ [_246251, _246253, _246255], 607 ^ [_246251, _246253, _246255])]], 619 ^ _223351 : [(620 ^ _223351) ^ [_247064, _247066] : [-(a_select3(tptp_mmul(_246255, tptp_mmul(_246253, trans(_246255))), _247066, _247064) = a_select3(tptp_mmul(_246255, tptp_mmul(_246253, trans(_246255))), _247064, _247066)), leq(n0, _247066), leq(_247066, _246251), leq(n0, _247064), leq(_247064, _246251)]]], (638 ^ _223351) ^ [_247683, _247685, _247687, _247689] : [641 ^ _223351 : [(642 ^ _223351) ^ [] : [-(leq(n0, 639 ^ [_247683, _247685, _247687, _247689]))], (644 ^ _223351) ^ [] : [-(leq(639 ^ [_247683, _247685, _247687, _247689], _247683))], (646 ^ _223351) ^ [] : [-(leq(n0, 640 ^ [_247683, _247685, _247687, _247689]))], (648 ^ _223351) ^ [] : [-(leq(640 ^ [_247683, _247685, _247687, _247689], _247683))], (650 ^ _223351) ^ [] : [a_select3(_247687, 639 ^ [_247683, _247685, _247687, _247689], 640 ^ [_247683, _247685, _247687, _247689]) = a_select3(_247687, 640 ^ [_247683, _247685, _247687, _247689], 639 ^ [_247683, _247685, _247687, _247689])]], 651 ^ _223351 : [(652 ^ _223351) ^ [_248540, _248542] : [-(a_select3(tptp_mmul(_247689, tptp_mmul(_247687, trans(_247689))), _248542, _248540) = a_select3(tptp_mmul(_247689, tptp_mmul(_247687, trans(_247689))), _248540, _248542)), leq(n0, _248542), leq(_248542, _247685), leq(n0, _248540), leq(_248540, _247685)]]], (670 ^ _223351) ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249] : [675 ^ _223351 : [(676 ^ _223351) ^ [] : [-(leq(n0, 673 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (678 ^ _223351) ^ [] : [-(leq(673 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249235))], (680 ^ _223351) ^ [] : [-(leq(n0, 674 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (682 ^ _223351) ^ [] : [-(leq(674 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249235))], (684 ^ _223351) ^ [] : [a_select3(_249243, 673 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 674 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]) = a_select3(_249243, 674 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 673 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249])]], 689 ^ _223351 : [(690 ^ _223351) ^ [] : [-(leq(n0, 687 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (692 ^ _223351) ^ [] : [-(leq(687 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249237))], (694 ^ _223351) ^ [] : [-(leq(n0, 688 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (696 ^ _223351) ^ [] : [-(leq(688 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249237))], (698 ^ _223351) ^ [] : [a_select3(_249249, 687 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 688 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]) = a_select3(_249249, 688 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 687 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249])]], 701 ^ _223351 : [(702 ^ _223351) ^ [] : [-(leq(n0, 699 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (704 ^ _223351) ^ [] : [-(leq(699 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249237))], (706 ^ _223351) ^ [] : [-(leq(n0, 700 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]))], (708 ^ _223351) ^ [] : [-(leq(700 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], _249237))], (710 ^ _223351) ^ [] : [a_select3(_249239, 699 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 700 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249]) = a_select3(_249239, 700 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249], 699 ^ [_249235, _249237, _249239, _249241, _249243, _249245, _249247, _249249])]], 711 ^ _223351 : [(712 ^ _223351) ^ [_252163, _252165] : [-(a_select3(tptp_madd(_249249, tptp_mmul(_249247, tptp_mmul(tptp_madd(tptp_mmul(_249245, tptp_mmul(_249243, trans(_249245))), tptp_mmul(_249241, tptp_mmul(_249239, trans(_249241)))), trans(_249247)))), _252165, _252163) = a_select3(tptp_madd(_249249, tptp_mmul(_249247, tptp_mmul(tptp_madd(tptp_mmul(_249245, tptp_mmul(_249243, trans(_249245))), tptp_mmul(_249241, tptp_mmul(_249239, trans(_249241)))), trans(_249247)))), _252163, _252165)), leq(n0, _252165), leq(_252165, _249237), leq(n0, _252163), leq(_252163, _249237)]]], (730 ^ _223351) ^ [_252916] : [-(sum(n0, tptp_minus_1, _252916) = n0)], (732 ^ _223351) ^ [_252998] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _252998))], (734 ^ _223351) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _223351) ^ [_253133] : [-(plus(_253133, n1) = succ(_253133))], (738 ^ _223351) ^ [_253216] : [-(plus(n1, _253216) = succ(_253216))], (740 ^ _223351) ^ [_253299] : [-(plus(_253299, n2) = succ(succ(_253299)))], (742 ^ _223351) ^ [_253384] : [-(plus(n2, _253384) = succ(succ(_253384)))], (744 ^ _223351) ^ [_253469] : [-(plus(_253469, n3) = succ(succ(succ(_253469))))], (746 ^ _223351) ^ [_253556] : [-(plus(n3, _253556) = succ(succ(succ(_253556))))], (748 ^ _223351) ^ [_253643] : [-(plus(_253643, n4) = succ(succ(succ(succ(_253643)))))], (750 ^ _223351) ^ [_253732] : [-(plus(n4, _253732) = succ(succ(succ(succ(_253732)))))], (752 ^ _223351) ^ [_253821] : [-(plus(_253821, n5) = succ(succ(succ(succ(succ(_253821))))))], (754 ^ _223351) ^ [_253912] : [-(plus(n5, _253912) = succ(succ(succ(succ(succ(_253912))))))], (756 ^ _223351) ^ [_254003] : [-(minus(_254003, n1) = pred(_254003))], (758 ^ _223351) ^ [_254086] : [-(pred(succ(_254086)) = _254086)], (760 ^ _223351) ^ [_254168] : [-(succ(pred(_254168)) = _254168)], (762 ^ _223351) ^ [_254308, _254310] : [leq(succ(_254310), succ(_254308)), -(leq(_254310, _254308))], (768 ^ _223351) ^ [_254478, _254480] : [leq(_254480, _254478), -(leq(succ(_254480), succ(_254478)))], (774 ^ _223351) ^ [_254698, _254700] : [leq(succ(_254700), _254698), -(gt(_254698, _254700))], (780 ^ _223351) ^ [_254912, _254914] : [leq(minus(_254914, _254912), _254914), -(leq(n0, _254912))], (786 ^ _223351) ^ [_255141, _255143, _255145, _255147] : [-(a_select3(tptp_update3(_255147, _255145, _255143, _255141), _255145, _255143) = _255141)], (788 ^ _223351) ^ [_255333, _255335, _255337, _255339, _255341, _255343, _255345] : [-(a_select3(tptp_update3(_255337, _255345, _255343, _255333), _255341, _255339) = _255335), -(_255345 = _255341), _255343 = _255339, a_select3(_255337, _255341, _255339) = _255335], (802 ^ _223351) ^ [_255876, _255878, _255880, _255882, _255884, _255886] : [-(a_select3(tptp_update3(_255878, _255882, _255880, _255876), _255886, _255884) = _255876), 807 ^ _223351 : [(808 ^ _223351) ^ [] : [-(leq(n0, 805 ^ [_255876, _255878, _255880, _255882, _255884, _255886]))], (810 ^ _223351) ^ [] : [-(leq(n0, 806 ^ [_255876, _255878, _255880, _255882, _255884, _255886]))], (812 ^ _223351) ^ [] : [-(leq(805 ^ [_255876, _255878, _255880, _255882, _255884, _255886], _255882))], (814 ^ _223351) ^ [] : [-(leq(806 ^ [_255876, _255878, _255880, _255882, _255884, _255886], _255880))], (816 ^ _223351) ^ [] : [a_select3(_255878, 805 ^ [_255876, _255878, _255880, _255882, _255884, _255886], 806 ^ [_255876, _255878, _255880, _255882, _255884, _255886]) = _255876]], leq(n0, _255886), leq(_255886, _255882), leq(n0, _255884), leq(_255884, _255880)], (834 ^ _223351) ^ [_257218, _257220, _257222] : [-(a_select2(tptp_update2(_257222, _257220, _257218), _257220) = _257218)], (836 ^ _223351) ^ [_257378, _257380, _257382, _257384, _257386] : [-(a_select2(tptp_update2(_257382, _257386, _257378), _257384) = _257380), -(_257386 = _257384), a_select2(_257382, _257384) = _257380], (865 ^ _223351) ^ [] : [-(true)], (867 ^ _223351) ^ [] : [def = use], (846 ^ _223351) ^ [_257758, _257760, _257762, _257764] : [-(a_select2(tptp_update2(_257760, _257762, _257758), _257764) = _257758), 850 ^ _223351 : [(851 ^ _223351) ^ [] : [-(leq(n0, 849 ^ [_257758, _257760, _257762, _257764]))], (853 ^ _223351) ^ [] : [-(leq(849 ^ [_257758, _257760, _257762, _257764], _257762))], (855 ^ _223351) ^ [] : [a_select2(_257760, 849 ^ [_257758, _257760, _257762, _257764]) = _257758]], leq(n0, _257764), leq(_257764, _257762)]], input).
% 0.33/1.38  ncf('1',plain,[n1 = 1076 ^ [], n2 = 1077 ^ []],start(1129 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(n1 = 1076 ^ [])],extension(1273 ^ 1)).
% 0.33/1.38  ncf('1.2',plain,[-(n2 = 1077 ^ [])],extension(1279 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------