%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV223+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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  : SWV223+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 02:47:03 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1041 ^ _225984) ^ [_265915, _265917] : [-(a_select3(q_ds1_filter, _265917, _265915) = a_select3(q_ds1_filter, _265915, _265917)), leq(n0, _265917), leq(n0, _265915), leq(_265917, n5), leq(_265915, n5)], (1059 ^ _225984) ^ [_266388, _266390] : [-(a_select3(r_ds1_filter, _266390, _266388) = a_select3(r_ds1_filter, _266388, _266390)), leq(n0, _266390), leq(n0, _266388), leq(_266390, n2), leq(_266388, n2)], (1079 ^ _225984) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _225984) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _225984) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _225984) ^ [] : [-(leq(1077 ^ [], n5))], (1305 ^ _225984) ^ [] : [a_select2(xinit_noise, n0) = n0], (1087 ^ _225984) ^ [] : [n0 = 1076 ^ [], n1 = 1077 ^ []], (1093 ^ _225984) ^ [] : [n0 = 1076 ^ [], n2 = 1077 ^ []], (1099 ^ _225984) ^ [] : [n0 = 1076 ^ [], n3 = 1077 ^ []], (1105 ^ _225984) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1111 ^ _225984) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1117 ^ _225984) ^ [] : [n0 = 1077 ^ [], n1 = 1076 ^ []], (1123 ^ _225984) ^ [] : [n0 = 1077 ^ [], n2 = 1076 ^ []], (1129 ^ _225984) ^ [] : [n0 = 1077 ^ [], n3 = 1076 ^ []], (1135 ^ _225984) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1141 ^ _225984) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1147 ^ _225984) ^ [] : [n1 = 1076 ^ [], n1 = 1077 ^ []], (1153 ^ _225984) ^ [] : [n1 = 1076 ^ [], n2 = 1077 ^ []], (1159 ^ _225984) ^ [] : [n1 = 1076 ^ [], n3 = 1077 ^ []], (1165 ^ _225984) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1171 ^ _225984) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1177 ^ _225984) ^ [] : [n1 = 1077 ^ [], n2 = 1076 ^ []], (1183 ^ _225984) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1189 ^ _225984) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1195 ^ _225984) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1201 ^ _225984) ^ [] : [n2 = 1076 ^ [], n2 = 1077 ^ []], (1207 ^ _225984) ^ [] : [n2 = 1076 ^ [], n3 = 1077 ^ []], (1213 ^ _225984) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1219 ^ _225984) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1225 ^ _225984) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1231 ^ _225984) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1237 ^ _225984) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1243 ^ _225984) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1249 ^ _225984) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1255 ^ _225984) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1261 ^ _225984) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1267 ^ _225984) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1273 ^ _225984) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1279 ^ _225984) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1285 ^ _225984) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1297 ^ _225984) ^ [] : [-(n0 = 1076 ^ [])], (1299 ^ _225984) ^ [] : [-(n0 = 1077 ^ [])], (1301 ^ _225984) ^ [] : [-(n3 = 1076 ^ [])], (1303 ^ _225984) ^ [] : [-(n5 = 1077 ^ [])], (1291 ^ _225984) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _225984) ^ [_226128] : [-(_226128 = _226128)], (4 ^ _225984) ^ [_226235, _226237] : [_226237 = _226235, -(_226235 = _226237)], (10 ^ _225984) ^ [_226439, _226441, _226443] : [-(_226443 = _226439), _226443 = _226441, _226441 = _226439], (20 ^ _225984) ^ [_226780, _226782, _226784, _226786] : [-(lt(_226784, _226780)), lt(_226786, _226782), _226786 = _226784, _226782 = _226780], (34 ^ _225984) ^ [_227224, _227226, _227228, _227230] : [-(geq(_227228, _227224)), geq(_227230, _227226), _227230 = _227228, _227226 = _227224], (48 ^ _225984) ^ [_227668, _227670, _227672, _227674] : [-(gt(_227672, _227668)), gt(_227674, _227670), _227674 = _227672, _227670 = _227668], (62 ^ _225984) ^ [_228092, _228094, _228096, _228098] : [-(leq(_228096, _228092)), leq(_228098, _228094), _228098 = _228096, _228094 = _228092], (76 ^ _225984) ^ [_228548, _228550, _228552, _228554] : [-(uniform_int_rnd(_228554, _228550) = uniform_int_rnd(_228552, _228548)), _228554 = _228552, _228550 = _228548], (86 ^ _225984) ^ [_228907, _228909, _228911, _228913] : [-(tptp_const_array1(_228913, _228909) = tptp_const_array1(_228911, _228907)), _228913 = _228911, _228909 = _228907], (96 ^ _225984) ^ [_229294, _229296, _229298, _229300, _229302, _229304] : [-(tptp_const_array2(_229304, _229300, _229296) = tptp_const_array2(_229302, _229298, _229294)), _229304 = _229302, _229300 = _229298, _229296 = _229294], (110 ^ _225984) ^ [_229782, _229784, _229786, _229788] : [-(dim(_229788, _229784) = dim(_229786, _229782)), _229788 = _229786, _229784 = _229782], (120 ^ _225984) ^ [_230113, _230115] : [_230115 = _230113, -(inv(_230115) = inv(_230113))], (126 ^ _225984) ^ [_230359, _230361, _230363, _230365] : [-(tptp_msub(_230365, _230361) = tptp_msub(_230363, _230359)), _230365 = _230363, _230361 = _230359], (136 ^ _225984) ^ [_230718, _230720, _230722, _230724] : [-(tptp_madd(_230724, _230720) = tptp_madd(_230722, _230718)), _230724 = _230722, _230720 = _230718], (146 ^ _225984) ^ [_231077, _231079, _231081, _231083] : [-(tptp_mmul(_231083, _231079) = tptp_mmul(_231081, _231077)), _231083 = _231081, _231079 = _231077], (156 ^ _225984) ^ [_231408, _231410] : [_231410 = _231408, -(trans(_231410) = trans(_231408))], (162 ^ _225984) ^ [_231682, _231684, _231686, _231688, _231690, _231692] : [-(sum(_231692, _231688, _231684) = sum(_231690, _231686, _231682)), _231692 = _231690, _231688 = _231686, _231684 = _231682], (176 ^ _225984) ^ [_232170, _232172, _232174, _232176] : [-(plus(_232176, _232172) = plus(_232174, _232170)), _232176 = _232174, _232172 = _232170], (186 ^ _225984) ^ [_232501, _232503] : [_232503 = _232501, -(pred(_232503) = pred(_232501))], (192 ^ _225984) ^ [_232747, _232749, _232751, _232753] : [-(minus(_232753, _232749) = minus(_232751, _232747)), _232753 = _232751, _232749 = _232747], (202 ^ _225984) ^ [_233162, _233164, _233166, _233168, _233170, _233172, _233174, _233176] : [-(tptp_update3(_233176, _233172, _233168, _233164) = tptp_update3(_233174, _233170, _233166, _233162)), _233176 = _233174, _233172 = _233170, _233168 = _233166, _233164 = _233162], (220 ^ _225984) ^ [_233823, _233825, _233827, _233829, _233831, _233833] : [-(tptp_update2(_233833, _233829, _233825) = tptp_update2(_233831, _233827, _233823)), _233833 = _233831, _233829 = _233827, _233825 = _233823], (234 ^ _225984) ^ [_234283, _234285] : [_234285 = _234283, -(succ(_234285) = succ(_234283))], (254 ^ _225984) ^ [_235025, _235027, _235029, _235031] : [-(a_select2(_235031, _235027) = a_select2(_235029, _235025)), _235031 = _235029, _235027 = _235025], (240 ^ _225984) ^ [_234557, _234559, _234561, _234563, _234565, _234567] : [-(a_select3(_234567, _234563, _234559) = a_select3(_234565, _234561, _234557)), _234567 = _234565, _234563 = _234561, _234559 = _234557], (869 ^ _225984) ^ [] : [-(gt(n5, n4))], (871 ^ _225984) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _225984) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _225984) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _225984) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _225984) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _225984) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _225984) ^ [] : [-(gt(n4, n0))], (885 ^ _225984) ^ [] : [-(gt(n5, n0))], (887 ^ _225984) ^ [] : [-(gt(n1, n0))], (889 ^ _225984) ^ [] : [-(gt(n2, n0))], (891 ^ _225984) ^ [] : [-(gt(n3, n0))], (893 ^ _225984) ^ [] : [-(gt(n4, n1))], (895 ^ _225984) ^ [] : [-(gt(n5, n1))], (897 ^ _225984) ^ [] : [-(gt(n2, n1))], (899 ^ _225984) ^ [] : [-(gt(n3, n1))], (901 ^ _225984) ^ [] : [-(gt(n4, n2))], (903 ^ _225984) ^ [] : [-(gt(n5, n2))], (905 ^ _225984) ^ [] : [-(gt(n3, n2))], (907 ^ _225984) ^ [] : [-(gt(n4, n3))], (909 ^ _225984) ^ [] : [-(gt(n5, n3))], (911 ^ _225984) ^ [_262494] : [leq(n0, _262494), leq(_262494, n4), -(_262494 = n0), -(_262494 = n1), -(_262494 = n2), -(_262494 = n3), -(_262494 = n4)], (937 ^ _225984) ^ [_263115] : [leq(n0, _263115), leq(_263115, n5), -(_263115 = n0), -(_263115 = n1), -(_263115 = n2), -(_263115 = n3), -(_263115 = n4), -(_263115 = n5)], (967 ^ _225984) ^ [_263822] : [-(_263822 = n0), leq(n0, _263822), leq(_263822, n0)], (977 ^ _225984) ^ [_264097] : [leq(n0, _264097), leq(_264097, n1), -(_264097 = n0), -(_264097 = n1)], (991 ^ _225984) ^ [_264460] : [leq(n0, _264460), leq(_264460, n2), -(_264460 = n0), -(_264460 = n1), -(_264460 = n2)], (1031 ^ _225984) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _225984) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _225984) ^ [] : [-(succ(n0) = n1)], (1037 ^ _225984) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _225984) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _225984) ^ [_264909] : [leq(n0, _264909), leq(_264909, n3), -(_264909 = n0), -(_264909 = n1), -(_264909 = n2), -(_264909 = n3)], (264 ^ _225984) ^ [_235456, _235458] : [-(gt(_235458, _235456)), -(gt(_235456, _235458)), -(_235458 = _235456)], (274 ^ _225984) ^ [_235771, _235773, _235775] : [-(gt(_235775, _235771)), gt(_235775, _235773), gt(_235773, _235771)], (284 ^ _225984) ^ [_236050] : [gt(_236050, _236050)], (286 ^ _225984) ^ [_236128] : [-(leq(_236128, _236128))], (288 ^ _225984) ^ [_236249, _236251, _236253] : [-(leq(_236253, _236249)), leq(_236253, _236251), leq(_236251, _236249)], (298 ^ _225984) ^ [_236587, _236589] : [lt(_236589, _236587), -(gt(_236587, _236589))], (304 ^ _225984) ^ [_236749, _236751] : [gt(_236749, _236751), -(lt(_236751, _236749))], (310 ^ _225984) ^ [_236990, _236992] : [geq(_236992, _236990), -(leq(_236990, _236992))], (316 ^ _225984) ^ [_237152, _237154] : [leq(_237152, _237154), -(geq(_237154, _237152))], (322 ^ _225984) ^ [_237364, _237366] : [gt(_237364, _237366), -(leq(_237366, _237364))], (328 ^ _225984) ^ [_237574, _237576] : [-(gt(_237574, _237576)), leq(_237576, _237574), -(_237576 = _237574)], (338 ^ _225984) ^ [_237905, _237907] : [leq(_237907, pred(_237905)), -(gt(_237905, _237907))], (344 ^ _225984) ^ [_238071, _238073] : [gt(_238071, _238073), -(leq(_238073, pred(_238071)))], (350 ^ _225984) ^ [_238258] : [-(gt(succ(_238258), _238258))], (352 ^ _225984) ^ [_238367, _238369] : [leq(_238369, _238367), -(leq(_238369, succ(_238367)))], (358 ^ _225984) ^ [_238610, _238612] : [leq(_238612, _238610), -(gt(succ(_238610), _238612))], (364 ^ _225984) ^ [_238776, _238778] : [gt(succ(_238776), _238778), -(leq(_238778, _238776))], (370 ^ _225984) ^ [_238992, _238994] : [leq(n0, _238994), -(leq(uniform_int_rnd(_238992, _238994), _238994))], (376 ^ _225984) ^ [_239208, _239210] : [leq(n0, _239210), -(leq(n0, uniform_int_rnd(_239208, _239210)))], (382 ^ _225984) ^ [_239452, _239454, _239456, _239458] : [-(a_select2(tptp_const_array1(dim(_239456, _239454), _239452), _239458) = _239452), leq(_239456, _239458), leq(_239458, _239454)], (392 ^ _225984) ^ [_239859, _239861, _239863, _239865, _239867, _239869, _239871] : [-(a_select3(tptp_const_array2(dim(_239869, _239867), dim(_239863, _239861), _239859), _239871, _239865) = _239859), leq(_239869, _239871), leq(_239871, _239867), leq(_239863, _239865), leq(_239865, _239861)], (410 ^ _225984) ^ [_240454, _240456] : [413 ^ _225984 : [(414 ^ _225984) ^ [] : [-(leq(n0, 411 ^ [_240454, _240456]))], (416 ^ _225984) ^ [] : [-(leq(411 ^ [_240454, _240456], _240454))], (418 ^ _225984) ^ [] : [-(leq(n0, 412 ^ [_240454, _240456]))], (420 ^ _225984) ^ [] : [-(leq(412 ^ [_240454, _240456], _240454))], (422 ^ _225984) ^ [] : [a_select3(_240456, 411 ^ [_240454, _240456], 412 ^ [_240454, _240456]) = a_select3(_240456, 412 ^ [_240454, _240456], 411 ^ [_240454, _240456])]], 423 ^ _225984 : [(424 ^ _225984) ^ [_241211, _241213] : [-(a_select3(trans(_240456), _241213, _241211) = a_select3(trans(_240456), _241211, _241213)), leq(n0, _241213), leq(_241213, _240454), leq(n0, _241211), leq(_241211, _240454)]]], (442 ^ _225984) ^ [_241758, _241760] : [445 ^ _225984 : [(446 ^ _225984) ^ [] : [-(leq(n0, 443 ^ [_241758, _241760]))], (448 ^ _225984) ^ [] : [-(leq(443 ^ [_241758, _241760], _241758))], (450 ^ _225984) ^ [] : [-(leq(n0, 444 ^ [_241758, _241760]))], (452 ^ _225984) ^ [] : [-(leq(444 ^ [_241758, _241760], _241758))], (454 ^ _225984) ^ [] : [a_select3(_241760, 443 ^ [_241758, _241760], 444 ^ [_241758, _241760]) = a_select3(_241760, 444 ^ [_241758, _241760], 443 ^ [_241758, _241760])]], 455 ^ _225984 : [(456 ^ _225984) ^ [_242515, _242517] : [-(a_select3(inv(_241760), _242517, _242515) = a_select3(inv(_241760), _242515, _242517)), leq(n0, _242517), leq(_242517, _241758), leq(n0, _242515), leq(_242515, _241758)]]], (474 ^ _225984) ^ [_243062, _243064] : [477 ^ _225984 : [(478 ^ _225984) ^ [] : [-(leq(n0, 475 ^ [_243062, _243064]))], (480 ^ _225984) ^ [] : [-(leq(475 ^ [_243062, _243064], _243062))], (482 ^ _225984) ^ [] : [-(leq(n0, 476 ^ [_243062, _243064]))], (484 ^ _225984) ^ [] : [-(leq(476 ^ [_243062, _243064], _243062))], (486 ^ _225984) ^ [] : [a_select3(_243064, 475 ^ [_243062, _243064], 476 ^ [_243062, _243064]) = a_select3(_243064, 476 ^ [_243062, _243064], 475 ^ [_243062, _243064])]], 487 ^ _225984 : [(488 ^ _225984) ^ [_243875, _243877, _243879, _243881] : [-(a_select3(tptp_update3(_243064, _243877, _243877, _243875), _243881, _243879) = a_select3(tptp_update3(_243064, _243877, _243877, _243875), _243879, _243881)), leq(n0, _243881), leq(_243881, _243062), leq(n0, _243879), leq(_243879, _243062), leq(n0, _243877), leq(_243877, _243062)]]], (514 ^ _225984) ^ [_244694, _244696, _244698] : [519 ^ _225984 : [(520 ^ _225984) ^ [] : [-(leq(n0, 517 ^ [_244694, _244696, _244698]))], (522 ^ _225984) ^ [] : [-(leq(517 ^ [_244694, _244696, _244698], _244694))], (524 ^ _225984) ^ [] : [-(leq(n0, 518 ^ [_244694, _244696, _244698]))], (526 ^ _225984) ^ [] : [-(leq(518 ^ [_244694, _244696, _244698], _244694))], (528 ^ _225984) ^ [] : [a_select3(_244698, 517 ^ [_244694, _244696, _244698], 518 ^ [_244694, _244696, _244698]) = a_select3(_244698, 518 ^ [_244694, _244696, _244698], 517 ^ [_244694, _244696, _244698])]], 531 ^ _225984 : [(532 ^ _225984) ^ [] : [-(leq(n0, 529 ^ [_244694, _244696, _244698]))], (534 ^ _225984) ^ [] : [-(leq(529 ^ [_244694, _244696, _244698], _244694))], (536 ^ _225984) ^ [] : [-(leq(n0, 530 ^ [_244694, _244696, _244698]))], (538 ^ _225984) ^ [] : [-(leq(530 ^ [_244694, _244696, _244698], _244694))], (540 ^ _225984) ^ [] : [a_select3(_244696, 529 ^ [_244694, _244696, _244698], 530 ^ [_244694, _244696, _244698]) = a_select3(_244696, 530 ^ [_244694, _244696, _244698], 529 ^ [_244694, _244696, _244698])]], 541 ^ _225984 : [(542 ^ _225984) ^ [_246203, _246205] : [-(a_select3(tptp_madd(_244698, _244696), _246205, _246203) = a_select3(tptp_madd(_244698, _244696), _246203, _246205)), leq(n0, _246205), leq(_246205, _244694), leq(n0, _246203), leq(_246203, _244694)]]], (560 ^ _225984) ^ [_246789, _246791, _246793] : [565 ^ _225984 : [(566 ^ _225984) ^ [] : [-(leq(n0, 563 ^ [_246789, _246791, _246793]))], (568 ^ _225984) ^ [] : [-(leq(563 ^ [_246789, _246791, _246793], _246789))], (570 ^ _225984) ^ [] : [-(leq(n0, 564 ^ [_246789, _246791, _246793]))], (572 ^ _225984) ^ [] : [-(leq(564 ^ [_246789, _246791, _246793], _246789))], (574 ^ _225984) ^ [] : [a_select3(_246793, 563 ^ [_246789, _246791, _246793], 564 ^ [_246789, _246791, _246793]) = a_select3(_246793, 564 ^ [_246789, _246791, _246793], 563 ^ [_246789, _246791, _246793])]], 577 ^ _225984 : [(578 ^ _225984) ^ [] : [-(leq(n0, 575 ^ [_246789, _246791, _246793]))], (580 ^ _225984) ^ [] : [-(leq(575 ^ [_246789, _246791, _246793], _246789))], (582 ^ _225984) ^ [] : [-(leq(n0, 576 ^ [_246789, _246791, _246793]))], (584 ^ _225984) ^ [] : [-(leq(576 ^ [_246789, _246791, _246793], _246789))], (586 ^ _225984) ^ [] : [a_select3(_246791, 575 ^ [_246789, _246791, _246793], 576 ^ [_246789, _246791, _246793]) = a_select3(_246791, 576 ^ [_246789, _246791, _246793], 575 ^ [_246789, _246791, _246793])]], 587 ^ _225984 : [(588 ^ _225984) ^ [_248298, _248300] : [-(a_select3(tptp_msub(_246793, _246791), _248300, _248298) = a_select3(tptp_msub(_246793, _246791), _248298, _248300)), leq(n0, _248300), leq(_248300, _246789), leq(n0, _248298), leq(_248298, _246789)]]], (606 ^ _225984) ^ [_248884, _248886, _248888] : [609 ^ _225984 : [(610 ^ _225984) ^ [] : [-(leq(n0, 607 ^ [_248884, _248886, _248888]))], (612 ^ _225984) ^ [] : [-(leq(607 ^ [_248884, _248886, _248888], _248884))], (614 ^ _225984) ^ [] : [-(leq(n0, 608 ^ [_248884, _248886, _248888]))], (616 ^ _225984) ^ [] : [-(leq(608 ^ [_248884, _248886, _248888], _248884))], (618 ^ _225984) ^ [] : [a_select3(_248886, 607 ^ [_248884, _248886, _248888], 608 ^ [_248884, _248886, _248888]) = a_select3(_248886, 608 ^ [_248884, _248886, _248888], 607 ^ [_248884, _248886, _248888])]], 619 ^ _225984 : [(620 ^ _225984) ^ [_249697, _249699] : [-(a_select3(tptp_mmul(_248888, tptp_mmul(_248886, trans(_248888))), _249699, _249697) = a_select3(tptp_mmul(_248888, tptp_mmul(_248886, trans(_248888))), _249697, _249699)), leq(n0, _249699), leq(_249699, _248884), leq(n0, _249697), leq(_249697, _248884)]]], (638 ^ _225984) ^ [_250316, _250318, _250320, _250322] : [641 ^ _225984 : [(642 ^ _225984) ^ [] : [-(leq(n0, 639 ^ [_250316, _250318, _250320, _250322]))], (644 ^ _225984) ^ [] : [-(leq(639 ^ [_250316, _250318, _250320, _250322], _250316))], (646 ^ _225984) ^ [] : [-(leq(n0, 640 ^ [_250316, _250318, _250320, _250322]))], (648 ^ _225984) ^ [] : [-(leq(640 ^ [_250316, _250318, _250320, _250322], _250316))], (650 ^ _225984) ^ [] : [a_select3(_250320, 639 ^ [_250316, _250318, _250320, _250322], 640 ^ [_250316, _250318, _250320, _250322]) = a_select3(_250320, 640 ^ [_250316, _250318, _250320, _250322], 639 ^ [_250316, _250318, _250320, _250322])]], 651 ^ _225984 : [(652 ^ _225984) ^ [_251173, _251175] : [-(a_select3(tptp_mmul(_250322, tptp_mmul(_250320, trans(_250322))), _251175, _251173) = a_select3(tptp_mmul(_250322, tptp_mmul(_250320, trans(_250322))), _251173, _251175)), leq(n0, _251175), leq(_251175, _250318), leq(n0, _251173), leq(_251173, _250318)]]], (670 ^ _225984) ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882] : [675 ^ _225984 : [(676 ^ _225984) ^ [] : [-(leq(n0, 673 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (678 ^ _225984) ^ [] : [-(leq(673 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251868))], (680 ^ _225984) ^ [] : [-(leq(n0, 674 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (682 ^ _225984) ^ [] : [-(leq(674 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251868))], (684 ^ _225984) ^ [] : [a_select3(_251876, 673 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 674 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]) = a_select3(_251876, 674 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 673 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882])]], 689 ^ _225984 : [(690 ^ _225984) ^ [] : [-(leq(n0, 687 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (692 ^ _225984) ^ [] : [-(leq(687 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251870))], (694 ^ _225984) ^ [] : [-(leq(n0, 688 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (696 ^ _225984) ^ [] : [-(leq(688 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251870))], (698 ^ _225984) ^ [] : [a_select3(_251882, 687 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 688 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]) = a_select3(_251882, 688 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 687 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882])]], 701 ^ _225984 : [(702 ^ _225984) ^ [] : [-(leq(n0, 699 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (704 ^ _225984) ^ [] : [-(leq(699 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251870))], (706 ^ _225984) ^ [] : [-(leq(n0, 700 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]))], (708 ^ _225984) ^ [] : [-(leq(700 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], _251870))], (710 ^ _225984) ^ [] : [a_select3(_251872, 699 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 700 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882]) = a_select3(_251872, 700 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882], 699 ^ [_251868, _251870, _251872, _251874, _251876, _251878, _251880, _251882])]], 711 ^ _225984 : [(712 ^ _225984) ^ [_254796, _254798] : [-(a_select3(tptp_madd(_251882, tptp_mmul(_251880, tptp_mmul(tptp_madd(tptp_mmul(_251878, tptp_mmul(_251876, trans(_251878))), tptp_mmul(_251874, tptp_mmul(_251872, trans(_251874)))), trans(_251880)))), _254798, _254796) = a_select3(tptp_madd(_251882, tptp_mmul(_251880, tptp_mmul(tptp_madd(tptp_mmul(_251878, tptp_mmul(_251876, trans(_251878))), tptp_mmul(_251874, tptp_mmul(_251872, trans(_251874)))), trans(_251880)))), _254796, _254798)), leq(n0, _254798), leq(_254798, _251870), leq(n0, _254796), leq(_254796, _251870)]]], (730 ^ _225984) ^ [_255549] : [-(sum(n0, tptp_minus_1, _255549) = n0)], (732 ^ _225984) ^ [_255631] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _255631))], (734 ^ _225984) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _225984) ^ [_255766] : [-(plus(_255766, n1) = succ(_255766))], (738 ^ _225984) ^ [_255849] : [-(plus(n1, _255849) = succ(_255849))], (740 ^ _225984) ^ [_255932] : [-(plus(_255932, n2) = succ(succ(_255932)))], (742 ^ _225984) ^ [_256017] : [-(plus(n2, _256017) = succ(succ(_256017)))], (744 ^ _225984) ^ [_256102] : [-(plus(_256102, n3) = succ(succ(succ(_256102))))], (746 ^ _225984) ^ [_256189] : [-(plus(n3, _256189) = succ(succ(succ(_256189))))], (748 ^ _225984) ^ [_256276] : [-(plus(_256276, n4) = succ(succ(succ(succ(_256276)))))], (750 ^ _225984) ^ [_256365] : [-(plus(n4, _256365) = succ(succ(succ(succ(_256365)))))], (752 ^ _225984) ^ [_256454] : [-(plus(_256454, n5) = succ(succ(succ(succ(succ(_256454))))))], (754 ^ _225984) ^ [_256545] : [-(plus(n5, _256545) = succ(succ(succ(succ(succ(_256545))))))], (756 ^ _225984) ^ [_256636] : [-(minus(_256636, n1) = pred(_256636))], (758 ^ _225984) ^ [_256719] : [-(pred(succ(_256719)) = _256719)], (760 ^ _225984) ^ [_256801] : [-(succ(pred(_256801)) = _256801)], (762 ^ _225984) ^ [_256941, _256943] : [leq(succ(_256943), succ(_256941)), -(leq(_256943, _256941))], (768 ^ _225984) ^ [_257111, _257113] : [leq(_257113, _257111), -(leq(succ(_257113), succ(_257111)))], (774 ^ _225984) ^ [_257331, _257333] : [leq(succ(_257333), _257331), -(gt(_257331, _257333))], (780 ^ _225984) ^ [_257545, _257547] : [leq(minus(_257547, _257545), _257547), -(leq(n0, _257545))], (786 ^ _225984) ^ [_257774, _257776, _257778, _257780] : [-(a_select3(tptp_update3(_257780, _257778, _257776, _257774), _257778, _257776) = _257774)], (788 ^ _225984) ^ [_257966, _257968, _257970, _257972, _257974, _257976, _257978] : [-(a_select3(tptp_update3(_257970, _257978, _257976, _257966), _257974, _257972) = _257968), -(_257978 = _257974), _257976 = _257972, a_select3(_257970, _257974, _257972) = _257968], (802 ^ _225984) ^ [_258509, _258511, _258513, _258515, _258517, _258519] : [-(a_select3(tptp_update3(_258511, _258515, _258513, _258509), _258519, _258517) = _258509), 807 ^ _225984 : [(808 ^ _225984) ^ [] : [-(leq(n0, 805 ^ [_258509, _258511, _258513, _258515, _258517, _258519]))], (810 ^ _225984) ^ [] : [-(leq(n0, 806 ^ [_258509, _258511, _258513, _258515, _258517, _258519]))], (812 ^ _225984) ^ [] : [-(leq(805 ^ [_258509, _258511, _258513, _258515, _258517, _258519], _258515))], (814 ^ _225984) ^ [] : [-(leq(806 ^ [_258509, _258511, _258513, _258515, _258517, _258519], _258513))], (816 ^ _225984) ^ [] : [a_select3(_258511, 805 ^ [_258509, _258511, _258513, _258515, _258517, _258519], 806 ^ [_258509, _258511, _258513, _258515, _258517, _258519]) = _258509]], leq(n0, _258519), leq(_258519, _258515), leq(n0, _258517), leq(_258517, _258513)], (834 ^ _225984) ^ [_259851, _259853, _259855] : [-(a_select2(tptp_update2(_259855, _259853, _259851), _259853) = _259851)], (836 ^ _225984) ^ [_260011, _260013, _260015, _260017, _260019] : [-(a_select2(tptp_update2(_260015, _260019, _260011), _260017) = _260013), -(_260019 = _260017), a_select2(_260015, _260017) = _260013], (865 ^ _225984) ^ [] : [-(true)], (867 ^ _225984) ^ [] : [def = use], (846 ^ _225984) ^ [_260391, _260393, _260395, _260397] : [-(a_select2(tptp_update2(_260393, _260395, _260391), _260397) = _260391), 850 ^ _225984 : [(851 ^ _225984) ^ [] : [-(leq(n0, 849 ^ [_260391, _260393, _260395, _260397]))], (853 ^ _225984) ^ [] : [-(leq(849 ^ [_260391, _260393, _260395, _260397], _260395))], (855 ^ _225984) ^ [] : [a_select2(_260393, 849 ^ [_260391, _260393, _260395, _260397]) = _260391]], leq(n0, _260397), leq(_260397, _260395)]], input).
% 0.33/1.38  ncf('1',plain,[n0 = 1076 ^ [], n5 = 1077 ^ []],start(1111 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(n0 = 1076 ^ [])],extension(1297 ^ 1)).
% 0.33/1.38  ncf('1.2',plain,[-(n5 = 1077 ^ [])],extension(1303 ^ 1)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------