%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV230+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 12:20:13 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
% 0.03/0.12  % Problem  : SWV230+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:32:33 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(1041 ^ _208019) ^ [_247950, _247952] : [-(a_select3(q_ds1_filter, _247952, _247950) = a_select3(q_ds1_filter, _247950, _247952)), leq(n0, _247952), leq(n0, _247950), leq(_247952, n5), leq(_247950, n5)], (1059 ^ _208019) ^ [_248423, _248425] : [-(a_select3(r_ds1_filter, _248425, _248423) = a_select3(r_ds1_filter, _248423, _248425)), leq(n0, _248425), leq(n0, _248423), leq(_248425, n2), leq(_248423, n2)], (1079 ^ _208019) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _208019) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _208019) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _208019) ^ [] : [-(leq(1077 ^ [], n5))], (1149 ^ _208019) ^ [] : [n0 = a_select2(xinit_noise, n4)], (1087 ^ _208019) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1093 ^ _208019) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1099 ^ _208019) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1105 ^ _208019) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1111 ^ _208019) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1117 ^ _208019) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1123 ^ _208019) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1129 ^ _208019) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1141 ^ _208019) ^ [] : [-(n1 = 1077 ^ [])], (1143 ^ _208019) ^ [] : [-(n4 = 1076 ^ [])], (1145 ^ _208019) ^ [] : [-(n4 = 1077 ^ [])], (1147 ^ _208019) ^ [] : [-(n5 = 1076 ^ [])], (1135 ^ _208019) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _208019) ^ [_208163] : [-(_208163 = _208163)], (4 ^ _208019) ^ [_208270, _208272] : [_208272 = _208270, -(_208270 = _208272)], (10 ^ _208019) ^ [_208474, _208476, _208478] : [-(_208478 = _208474), _208478 = _208476, _208476 = _208474], (20 ^ _208019) ^ [_208815, _208817, _208819, _208821] : [-(lt(_208819, _208815)), lt(_208821, _208817), _208821 = _208819, _208817 = _208815], (34 ^ _208019) ^ [_209259, _209261, _209263, _209265] : [-(geq(_209263, _209259)), geq(_209265, _209261), _209265 = _209263, _209261 = _209259], (48 ^ _208019) ^ [_209703, _209705, _209707, _209709] : [-(gt(_209707, _209703)), gt(_209709, _209705), _209709 = _209707, _209705 = _209703], (62 ^ _208019) ^ [_210127, _210129, _210131, _210133] : [-(leq(_210131, _210127)), leq(_210133, _210129), _210133 = _210131, _210129 = _210127], (76 ^ _208019) ^ [_210583, _210585, _210587, _210589] : [-(uniform_int_rnd(_210589, _210585) = uniform_int_rnd(_210587, _210583)), _210589 = _210587, _210585 = _210583], (86 ^ _208019) ^ [_210942, _210944, _210946, _210948] : [-(tptp_const_array1(_210948, _210944) = tptp_const_array1(_210946, _210942)), _210948 = _210946, _210944 = _210942], (96 ^ _208019) ^ [_211329, _211331, _211333, _211335, _211337, _211339] : [-(tptp_const_array2(_211339, _211335, _211331) = tptp_const_array2(_211337, _211333, _211329)), _211339 = _211337, _211335 = _211333, _211331 = _211329], (110 ^ _208019) ^ [_211817, _211819, _211821, _211823] : [-(dim(_211823, _211819) = dim(_211821, _211817)), _211823 = _211821, _211819 = _211817], (120 ^ _208019) ^ [_212148, _212150] : [_212150 = _212148, -(inv(_212150) = inv(_212148))], (126 ^ _208019) ^ [_212394, _212396, _212398, _212400] : [-(tptp_msub(_212400, _212396) = tptp_msub(_212398, _212394)), _212400 = _212398, _212396 = _212394], (136 ^ _208019) ^ [_212753, _212755, _212757, _212759] : [-(tptp_madd(_212759, _212755) = tptp_madd(_212757, _212753)), _212759 = _212757, _212755 = _212753], (146 ^ _208019) ^ [_213112, _213114, _213116, _213118] : [-(tptp_mmul(_213118, _213114) = tptp_mmul(_213116, _213112)), _213118 = _213116, _213114 = _213112], (156 ^ _208019) ^ [_213443, _213445] : [_213445 = _213443, -(trans(_213445) = trans(_213443))], (162 ^ _208019) ^ [_213717, _213719, _213721, _213723, _213725, _213727] : [-(sum(_213727, _213723, _213719) = sum(_213725, _213721, _213717)), _213727 = _213725, _213723 = _213721, _213719 = _213717], (176 ^ _208019) ^ [_214205, _214207, _214209, _214211] : [-(plus(_214211, _214207) = plus(_214209, _214205)), _214211 = _214209, _214207 = _214205], (186 ^ _208019) ^ [_214536, _214538] : [_214538 = _214536, -(pred(_214538) = pred(_214536))], (192 ^ _208019) ^ [_214782, _214784, _214786, _214788] : [-(minus(_214788, _214784) = minus(_214786, _214782)), _214788 = _214786, _214784 = _214782], (202 ^ _208019) ^ [_215197, _215199, _215201, _215203, _215205, _215207, _215209, _215211] : [-(tptp_update3(_215211, _215207, _215203, _215199) = tptp_update3(_215209, _215205, _215201, _215197)), _215211 = _215209, _215207 = _215205, _215203 = _215201, _215199 = _215197], (220 ^ _208019) ^ [_215858, _215860, _215862, _215864, _215866, _215868] : [-(tptp_update2(_215868, _215864, _215860) = tptp_update2(_215866, _215862, _215858)), _215868 = _215866, _215864 = _215862, _215860 = _215858], (234 ^ _208019) ^ [_216318, _216320] : [_216320 = _216318, -(succ(_216320) = succ(_216318))], (254 ^ _208019) ^ [_217060, _217062, _217064, _217066] : [-(a_select2(_217066, _217062) = a_select2(_217064, _217060)), _217066 = _217064, _217062 = _217060], (240 ^ _208019) ^ [_216592, _216594, _216596, _216598, _216600, _216602] : [-(a_select3(_216602, _216598, _216594) = a_select3(_216600, _216596, _216592)), _216602 = _216600, _216598 = _216596, _216594 = _216592], (869 ^ _208019) ^ [] : [-(gt(n5, n4))], (871 ^ _208019) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _208019) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _208019) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _208019) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _208019) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _208019) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _208019) ^ [] : [-(gt(n4, n0))], (885 ^ _208019) ^ [] : [-(gt(n5, n0))], (887 ^ _208019) ^ [] : [-(gt(n1, n0))], (889 ^ _208019) ^ [] : [-(gt(n2, n0))], (891 ^ _208019) ^ [] : [-(gt(n3, n0))], (893 ^ _208019) ^ [] : [-(gt(n4, n1))], (895 ^ _208019) ^ [] : [-(gt(n5, n1))], (897 ^ _208019) ^ [] : [-(gt(n2, n1))], (899 ^ _208019) ^ [] : [-(gt(n3, n1))], (901 ^ _208019) ^ [] : [-(gt(n4, n2))], (903 ^ _208019) ^ [] : [-(gt(n5, n2))], (905 ^ _208019) ^ [] : [-(gt(n3, n2))], (907 ^ _208019) ^ [] : [-(gt(n4, n3))], (909 ^ _208019) ^ [] : [-(gt(n5, n3))], (911 ^ _208019) ^ [_244529] : [leq(n0, _244529), leq(_244529, n4), -(_244529 = n0), -(_244529 = n1), -(_244529 = n2), -(_244529 = n3), -(_244529 = n4)], (937 ^ _208019) ^ [_245150] : [leq(n0, _245150), leq(_245150, n5), -(_245150 = n0), -(_245150 = n1), -(_245150 = n2), -(_245150 = n3), -(_245150 = n4), -(_245150 = n5)], (967 ^ _208019) ^ [_245857] : [-(_245857 = n0), leq(n0, _245857), leq(_245857, n0)], (977 ^ _208019) ^ [_246132] : [leq(n0, _246132), leq(_246132, n1), -(_246132 = n0), -(_246132 = n1)], (991 ^ _208019) ^ [_246495] : [leq(n0, _246495), leq(_246495, n2), -(_246495 = n0), -(_246495 = n1), -(_246495 = n2)], (1031 ^ _208019) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _208019) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _208019) ^ [] : [-(succ(n0) = n1)], (1037 ^ _208019) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _208019) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _208019) ^ [_246944] : [leq(n0, _246944), leq(_246944, n3), -(_246944 = n0), -(_246944 = n1), -(_246944 = n2), -(_246944 = n3)], (264 ^ _208019) ^ [_217491, _217493] : [-(gt(_217493, _217491)), -(gt(_217491, _217493)), -(_217493 = _217491)], (274 ^ _208019) ^ [_217806, _217808, _217810] : [-(gt(_217810, _217806)), gt(_217810, _217808), gt(_217808, _217806)], (284 ^ _208019) ^ [_218085] : [gt(_218085, _218085)], (286 ^ _208019) ^ [_218163] : [-(leq(_218163, _218163))], (288 ^ _208019) ^ [_218284, _218286, _218288] : [-(leq(_218288, _218284)), leq(_218288, _218286), leq(_218286, _218284)], (298 ^ _208019) ^ [_218622, _218624] : [lt(_218624, _218622), -(gt(_218622, _218624))], (304 ^ _208019) ^ [_218784, _218786] : [gt(_218784, _218786), -(lt(_218786, _218784))], (310 ^ _208019) ^ [_219025, _219027] : [geq(_219027, _219025), -(leq(_219025, _219027))], (316 ^ _208019) ^ [_219187, _219189] : [leq(_219187, _219189), -(geq(_219189, _219187))], (322 ^ _208019) ^ [_219399, _219401] : [gt(_219399, _219401), -(leq(_219401, _219399))], (328 ^ _208019) ^ [_219609, _219611] : [-(gt(_219609, _219611)), leq(_219611, _219609), -(_219611 = _219609)], (338 ^ _208019) ^ [_219940, _219942] : [leq(_219942, pred(_219940)), -(gt(_219940, _219942))], (344 ^ _208019) ^ [_220106, _220108] : [gt(_220106, _220108), -(leq(_220108, pred(_220106)))], (350 ^ _208019) ^ [_220293] : [-(gt(succ(_220293), _220293))], (352 ^ _208019) ^ [_220402, _220404] : [leq(_220404, _220402), -(leq(_220404, succ(_220402)))], (358 ^ _208019) ^ [_220645, _220647] : [leq(_220647, _220645), -(gt(succ(_220645), _220647))], (364 ^ _208019) ^ [_220811, _220813] : [gt(succ(_220811), _220813), -(leq(_220813, _220811))], (370 ^ _208019) ^ [_221027, _221029] : [leq(n0, _221029), -(leq(uniform_int_rnd(_221027, _221029), _221029))], (376 ^ _208019) ^ [_221243, _221245] : [leq(n0, _221245), -(leq(n0, uniform_int_rnd(_221243, _221245)))], (382 ^ _208019) ^ [_221487, _221489, _221491, _221493] : [-(a_select2(tptp_const_array1(dim(_221491, _221489), _221487), _221493) = _221487), leq(_221491, _221493), leq(_221493, _221489)], (392 ^ _208019) ^ [_221894, _221896, _221898, _221900, _221902, _221904, _221906] : [-(a_select3(tptp_const_array2(dim(_221904, _221902), dim(_221898, _221896), _221894), _221906, _221900) = _221894), leq(_221904, _221906), leq(_221906, _221902), leq(_221898, _221900), leq(_221900, _221896)], (410 ^ _208019) ^ [_222489, _222491] : [413 ^ _208019 : [(414 ^ _208019) ^ [] : [-(leq(n0, 411 ^ [_222489, _222491]))], (416 ^ _208019) ^ [] : [-(leq(411 ^ [_222489, _222491], _222489))], (418 ^ _208019) ^ [] : [-(leq(n0, 412 ^ [_222489, _222491]))], (420 ^ _208019) ^ [] : [-(leq(412 ^ [_222489, _222491], _222489))], (422 ^ _208019) ^ [] : [a_select3(_222491, 411 ^ [_222489, _222491], 412 ^ [_222489, _222491]) = a_select3(_222491, 412 ^ [_222489, _222491], 411 ^ [_222489, _222491])]], 423 ^ _208019 : [(424 ^ _208019) ^ [_223246, _223248] : [-(a_select3(trans(_222491), _223248, _223246) = a_select3(trans(_222491), _223246, _223248)), leq(n0, _223248), leq(_223248, _222489), leq(n0, _223246), leq(_223246, _222489)]]], (442 ^ _208019) ^ [_223793, _223795] : [445 ^ _208019 : [(446 ^ _208019) ^ [] : [-(leq(n0, 443 ^ [_223793, _223795]))], (448 ^ _208019) ^ [] : [-(leq(443 ^ [_223793, _223795], _223793))], (450 ^ _208019) ^ [] : [-(leq(n0, 444 ^ [_223793, _223795]))], (452 ^ _208019) ^ [] : [-(leq(444 ^ [_223793, _223795], _223793))], (454 ^ _208019) ^ [] : [a_select3(_223795, 443 ^ [_223793, _223795], 444 ^ [_223793, _223795]) = a_select3(_223795, 444 ^ [_223793, _223795], 443 ^ [_223793, _223795])]], 455 ^ _208019 : [(456 ^ _208019) ^ [_224550, _224552] : [-(a_select3(inv(_223795), _224552, _224550) = a_select3(inv(_223795), _224550, _224552)), leq(n0, _224552), leq(_224552, _223793), leq(n0, _224550), leq(_224550, _223793)]]], (474 ^ _208019) ^ [_225097, _225099] : [477 ^ _208019 : [(478 ^ _208019) ^ [] : [-(leq(n0, 475 ^ [_225097, _225099]))], (480 ^ _208019) ^ [] : [-(leq(475 ^ [_225097, _225099], _225097))], (482 ^ _208019) ^ [] : [-(leq(n0, 476 ^ [_225097, _225099]))], (484 ^ _208019) ^ [] : [-(leq(476 ^ [_225097, _225099], _225097))], (486 ^ _208019) ^ [] : [a_select3(_225099, 475 ^ [_225097, _225099], 476 ^ [_225097, _225099]) = a_select3(_225099, 476 ^ [_225097, _225099], 475 ^ [_225097, _225099])]], 487 ^ _208019 : [(488 ^ _208019) ^ [_225910, _225912, _225914, _225916] : [-(a_select3(tptp_update3(_225099, _225912, _225912, _225910), _225916, _225914) = a_select3(tptp_update3(_225099, _225912, _225912, _225910), _225914, _225916)), leq(n0, _225916), leq(_225916, _225097), leq(n0, _225914), leq(_225914, _225097), leq(n0, _225912), leq(_225912, _225097)]]], (514 ^ _208019) ^ [_226729, _226731, _226733] : [519 ^ _208019 : [(520 ^ _208019) ^ [] : [-(leq(n0, 517 ^ [_226729, _226731, _226733]))], (522 ^ _208019) ^ [] : [-(leq(517 ^ [_226729, _226731, _226733], _226729))], (524 ^ _208019) ^ [] : [-(leq(n0, 518 ^ [_226729, _226731, _226733]))], (526 ^ _208019) ^ [] : [-(leq(518 ^ [_226729, _226731, _226733], _226729))], (528 ^ _208019) ^ [] : [a_select3(_226733, 517 ^ [_226729, _226731, _226733], 518 ^ [_226729, _226731, _226733]) = a_select3(_226733, 518 ^ [_226729, _226731, _226733], 517 ^ [_226729, _226731, _226733])]], 531 ^ _208019 : [(532 ^ _208019) ^ [] : [-(leq(n0, 529 ^ [_226729, _226731, _226733]))], (534 ^ _208019) ^ [] : [-(leq(529 ^ [_226729, _226731, _226733], _226729))], (536 ^ _208019) ^ [] : [-(leq(n0, 530 ^ [_226729, _226731, _226733]))], (538 ^ _208019) ^ [] : [-(leq(530 ^ [_226729, _226731, _226733], _226729))], (540 ^ _208019) ^ [] : [a_select3(_226731, 529 ^ [_226729, _226731, _226733], 530 ^ [_226729, _226731, _226733]) = a_select3(_226731, 530 ^ [_226729, _226731, _226733], 529 ^ [_226729, _226731, _226733])]], 541 ^ _208019 : [(542 ^ _208019) ^ [_228238, _228240] : [-(a_select3(tptp_madd(_226733, _226731), _228240, _228238) = a_select3(tptp_madd(_226733, _226731), _228238, _228240)), leq(n0, _228240), leq(_228240, _226729), leq(n0, _228238), leq(_228238, _226729)]]], (560 ^ _208019) ^ [_228824, _228826, _228828] : [565 ^ _208019 : [(566 ^ _208019) ^ [] : [-(leq(n0, 563 ^ [_228824, _228826, _228828]))], (568 ^ _208019) ^ [] : [-(leq(563 ^ [_228824, _228826, _228828], _228824))], (570 ^ _208019) ^ [] : [-(leq(n0, 564 ^ [_228824, _228826, _228828]))], (572 ^ _208019) ^ [] : [-(leq(564 ^ [_228824, _228826, _228828], _228824))], (574 ^ _208019) ^ [] : [a_select3(_228828, 563 ^ [_228824, _228826, _228828], 564 ^ [_228824, _228826, _228828]) = a_select3(_228828, 564 ^ [_228824, _228826, _228828], 563 ^ [_228824, _228826, _228828])]], 577 ^ _208019 : [(578 ^ _208019) ^ [] : [-(leq(n0, 575 ^ [_228824, _228826, _228828]))], (580 ^ _208019) ^ [] : [-(leq(575 ^ [_228824, _228826, _228828], _228824))], (582 ^ _208019) ^ [] : [-(leq(n0, 576 ^ [_228824, _228826, _228828]))], (584 ^ _208019) ^ [] : [-(leq(576 ^ [_228824, _228826, _228828], _228824))], (586 ^ _208019) ^ [] : [a_select3(_228826, 575 ^ [_228824, _228826, _228828], 576 ^ [_228824, _228826, _228828]) = a_select3(_228826, 576 ^ [_228824, _228826, _228828], 575 ^ [_228824, _228826, _228828])]], 587 ^ _208019 : [(588 ^ _208019) ^ [_230333, _230335] : [-(a_select3(tptp_msub(_228828, _228826), _230335, _230333) = a_select3(tptp_msub(_228828, _228826), _230333, _230335)), leq(n0, _230335), leq(_230335, _228824), leq(n0, _230333), leq(_230333, _228824)]]], (606 ^ _208019) ^ [_230919, _230921, _230923] : [609 ^ _208019 : [(610 ^ _208019) ^ [] : [-(leq(n0, 607 ^ [_230919, _230921, _230923]))], (612 ^ _208019) ^ [] : [-(leq(607 ^ [_230919, _230921, _230923], _230919))], (614 ^ _208019) ^ [] : [-(leq(n0, 608 ^ [_230919, _230921, _230923]))], (616 ^ _208019) ^ [] : [-(leq(608 ^ [_230919, _230921, _230923], _230919))], (618 ^ _208019) ^ [] : [a_select3(_230921, 607 ^ [_230919, _230921, _230923], 608 ^ [_230919, _230921, _230923]) = a_select3(_230921, 608 ^ [_230919, _230921, _230923], 607 ^ [_230919, _230921, _230923])]], 619 ^ _208019 : [(620 ^ _208019) ^ [_231732, _231734] : [-(a_select3(tptp_mmul(_230923, tptp_mmul(_230921, trans(_230923))), _231734, _231732) = a_select3(tptp_mmul(_230923, tptp_mmul(_230921, trans(_230923))), _231732, _231734)), leq(n0, _231734), leq(_231734, _230919), leq(n0, _231732), leq(_231732, _230919)]]], (638 ^ _208019) ^ [_232351, _232353, _232355, _232357] : [641 ^ _208019 : [(642 ^ _208019) ^ [] : [-(leq(n0, 639 ^ [_232351, _232353, _232355, _232357]))], (644 ^ _208019) ^ [] : [-(leq(639 ^ [_232351, _232353, _232355, _232357], _232351))], (646 ^ _208019) ^ [] : [-(leq(n0, 640 ^ [_232351, _232353, _232355, _232357]))], (648 ^ _208019) ^ [] : [-(leq(640 ^ [_232351, _232353, _232355, _232357], _232351))], (650 ^ _208019) ^ [] : [a_select3(_232355, 639 ^ [_232351, _232353, _232355, _232357], 640 ^ [_232351, _232353, _232355, _232357]) = a_select3(_232355, 640 ^ [_232351, _232353, _232355, _232357], 639 ^ [_232351, _232353, _232355, _232357])]], 651 ^ _208019 : [(652 ^ _208019) ^ [_233208, _233210] : [-(a_select3(tptp_mmul(_232357, tptp_mmul(_232355, trans(_232357))), _233210, _233208) = a_select3(tptp_mmul(_232357, tptp_mmul(_232355, trans(_232357))), _233208, _233210)), leq(n0, _233210), leq(_233210, _232353), leq(n0, _233208), leq(_233208, _232353)]]], (670 ^ _208019) ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917] : [675 ^ _208019 : [(676 ^ _208019) ^ [] : [-(leq(n0, 673 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (678 ^ _208019) ^ [] : [-(leq(673 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233903))], (680 ^ _208019) ^ [] : [-(leq(n0, 674 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (682 ^ _208019) ^ [] : [-(leq(674 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233903))], (684 ^ _208019) ^ [] : [a_select3(_233911, 673 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 674 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]) = a_select3(_233911, 674 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 673 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917])]], 689 ^ _208019 : [(690 ^ _208019) ^ [] : [-(leq(n0, 687 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (692 ^ _208019) ^ [] : [-(leq(687 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233905))], (694 ^ _208019) ^ [] : [-(leq(n0, 688 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (696 ^ _208019) ^ [] : [-(leq(688 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233905))], (698 ^ _208019) ^ [] : [a_select3(_233917, 687 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 688 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]) = a_select3(_233917, 688 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 687 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917])]], 701 ^ _208019 : [(702 ^ _208019) ^ [] : [-(leq(n0, 699 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (704 ^ _208019) ^ [] : [-(leq(699 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233905))], (706 ^ _208019) ^ [] : [-(leq(n0, 700 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]))], (708 ^ _208019) ^ [] : [-(leq(700 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], _233905))], (710 ^ _208019) ^ [] : [a_select3(_233907, 699 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 700 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917]) = a_select3(_233907, 700 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917], 699 ^ [_233903, _233905, _233907, _233909, _233911, _233913, _233915, _233917])]], 711 ^ _208019 : [(712 ^ _208019) ^ [_236831, _236833] : [-(a_select3(tptp_madd(_233917, tptp_mmul(_233915, tptp_mmul(tptp_madd(tptp_mmul(_233913, tptp_mmul(_233911, trans(_233913))), tptp_mmul(_233909, tptp_mmul(_233907, trans(_233909)))), trans(_233915)))), _236833, _236831) = a_select3(tptp_madd(_233917, tptp_mmul(_233915, tptp_mmul(tptp_madd(tptp_mmul(_233913, tptp_mmul(_233911, trans(_233913))), tptp_mmul(_233909, tptp_mmul(_233907, trans(_233909)))), trans(_233915)))), _236831, _236833)), leq(n0, _236833), leq(_236833, _233905), leq(n0, _236831), leq(_236831, _233905)]]], (730 ^ _208019) ^ [_237584] : [-(sum(n0, tptp_minus_1, _237584) = n0)], (732 ^ _208019) ^ [_237666] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _237666))], (734 ^ _208019) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _208019) ^ [_237801] : [-(plus(_237801, n1) = succ(_237801))], (738 ^ _208019) ^ [_237884] : [-(plus(n1, _237884) = succ(_237884))], (740 ^ _208019) ^ [_237967] : [-(plus(_237967, n2) = succ(succ(_237967)))], (742 ^ _208019) ^ [_238052] : [-(plus(n2, _238052) = succ(succ(_238052)))], (744 ^ _208019) ^ [_238137] : [-(plus(_238137, n3) = succ(succ(succ(_238137))))], (746 ^ _208019) ^ [_238224] : [-(plus(n3, _238224) = succ(succ(succ(_238224))))], (748 ^ _208019) ^ [_238311] : [-(plus(_238311, n4) = succ(succ(succ(succ(_238311)))))], (750 ^ _208019) ^ [_238400] : [-(plus(n4, _238400) = succ(succ(succ(succ(_238400)))))], (752 ^ _208019) ^ [_238489] : [-(plus(_238489, n5) = succ(succ(succ(succ(succ(_238489))))))], (754 ^ _208019) ^ [_238580] : [-(plus(n5, _238580) = succ(succ(succ(succ(succ(_238580))))))], (756 ^ _208019) ^ [_238671] : [-(minus(_238671, n1) = pred(_238671))], (758 ^ _208019) ^ [_238754] : [-(pred(succ(_238754)) = _238754)], (760 ^ _208019) ^ [_238836] : [-(succ(pred(_238836)) = _238836)], (762 ^ _208019) ^ [_238976, _238978] : [leq(succ(_238978), succ(_238976)), -(leq(_238978, _238976))], (768 ^ _208019) ^ [_239146, _239148] : [leq(_239148, _239146), -(leq(succ(_239148), succ(_239146)))], (774 ^ _208019) ^ [_239366, _239368] : [leq(succ(_239368), _239366), -(gt(_239366, _239368))], (780 ^ _208019) ^ [_239580, _239582] : [leq(minus(_239582, _239580), _239582), -(leq(n0, _239580))], (786 ^ _208019) ^ [_239809, _239811, _239813, _239815] : [-(a_select3(tptp_update3(_239815, _239813, _239811, _239809), _239813, _239811) = _239809)], (788 ^ _208019) ^ [_240001, _240003, _240005, _240007, _240009, _240011, _240013] : [-(a_select3(tptp_update3(_240005, _240013, _240011, _240001), _240009, _240007) = _240003), -(_240013 = _240009), _240011 = _240007, a_select3(_240005, _240009, _240007) = _240003], (802 ^ _208019) ^ [_240544, _240546, _240548, _240550, _240552, _240554] : [-(a_select3(tptp_update3(_240546, _240550, _240548, _240544), _240554, _240552) = _240544), 807 ^ _208019 : [(808 ^ _208019) ^ [] : [-(leq(n0, 805 ^ [_240544, _240546, _240548, _240550, _240552, _240554]))], (810 ^ _208019) ^ [] : [-(leq(n0, 806 ^ [_240544, _240546, _240548, _240550, _240552, _240554]))], (812 ^ _208019) ^ [] : [-(leq(805 ^ [_240544, _240546, _240548, _240550, _240552, _240554], _240550))], (814 ^ _208019) ^ [] : [-(leq(806 ^ [_240544, _240546, _240548, _240550, _240552, _240554], _240548))], (816 ^ _208019) ^ [] : [a_select3(_240546, 805 ^ [_240544, _240546, _240548, _240550, _240552, _240554], 806 ^ [_240544, _240546, _240548, _240550, _240552, _240554]) = _240544]], leq(n0, _240554), leq(_240554, _240550), leq(n0, _240552), leq(_240552, _240548)], (834 ^ _208019) ^ [_241886, _241888, _241890] : [-(a_select2(tptp_update2(_241890, _241888, _241886), _241888) = _241886)], (836 ^ _208019) ^ [_242046, _242048, _242050, _242052, _242054] : [-(a_select2(tptp_update2(_242050, _242054, _242046), _242052) = _242048), -(_242054 = _242052), a_select2(_242050, _242052) = _242048], (865 ^ _208019) ^ [] : [-(true)], (867 ^ _208019) ^ [] : [def = use], (846 ^ _208019) ^ [_242426, _242428, _242430, _242432] : [-(a_select2(tptp_update2(_242428, _242430, _242426), _242432) = _242426), 850 ^ _208019 : [(851 ^ _208019) ^ [] : [-(leq(n0, 849 ^ [_242426, _242428, _242430, _242432]))], (853 ^ _208019) ^ [] : [-(leq(849 ^ [_242426, _242428, _242430, _242432], _242430))], (855 ^ _208019) ^ [] : [a_select2(_242428, 849 ^ [_242426, _242428, _242430, _242432]) = _242426]], leq(n0, _242432), leq(_242432, _242430)]], input).
% 0.35/1.39  ncf('1',plain,[n4 = 1077 ^ [], n5 = 1076 ^ []],start(1129 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(n4 = 1077 ^ [])],extension(1145 ^ 1)).
% 0.35/1.39  ncf('1.2',plain,[-(n5 = 1076 ^ [])],extension(1147 ^ 1)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------