%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV228+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 0.37s 1.40s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV228+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May 19 02:52:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.37/1.40  
% 0.37/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40  %-----------------------------------------------------
% 0.37/1.40  ncf(matrix, plain, [(1041 ^ _217387) ^ [_257318, _257320] : [-(a_select3(q_ds1_filter, _257320, _257318) = a_select3(q_ds1_filter, _257318, _257320)), leq(n0, _257320), leq(n0, _257318), leq(_257320, n5), leq(_257318, n5)], (1059 ^ _217387) ^ [_257791, _257793] : [-(a_select3(r_ds1_filter, _257793, _257791) = a_select3(r_ds1_filter, _257791, _257793)), leq(n0, _257793), leq(n0, _257791), leq(_257793, n2), leq(_257791, n2)], (1079 ^ _217387) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _217387) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _217387) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _217387) ^ [] : [-(leq(1077 ^ [], n5))], (1231 ^ _217387) ^ [] : [n0 = a_select2(xinit_noise, n3)], (1087 ^ _217387) ^ [] : [n0 = 1076 ^ [], n4 = 1077 ^ []], (1093 ^ _217387) ^ [] : [n0 = 1076 ^ [], n5 = 1077 ^ []], (1099 ^ _217387) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1105 ^ _217387) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1111 ^ _217387) ^ [] : [n1 = 1076 ^ [], n4 = 1077 ^ []], (1117 ^ _217387) ^ [] : [n1 = 1076 ^ [], n5 = 1077 ^ []], (1123 ^ _217387) ^ [] : [n1 = 1077 ^ [], n3 = 1076 ^ []], (1129 ^ _217387) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1135 ^ _217387) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1141 ^ _217387) ^ [] : [n2 = 1076 ^ [], n4 = 1077 ^ []], (1147 ^ _217387) ^ [] : [n2 = 1076 ^ [], n5 = 1077 ^ []], (1153 ^ _217387) ^ [] : [n2 = 1077 ^ [], n3 = 1076 ^ []], (1159 ^ _217387) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1165 ^ _217387) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1171 ^ _217387) ^ [] : [n3 = 1076 ^ [], n3 = 1077 ^ []], (1177 ^ _217387) ^ [] : [n3 = 1076 ^ [], n4 = 1077 ^ []], (1183 ^ _217387) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1189 ^ _217387) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1195 ^ _217387) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1201 ^ _217387) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1207 ^ _217387) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1213 ^ _217387) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1225 ^ _217387) ^ [] : [-(n0 = 1077 ^ [])], (1227 ^ _217387) ^ [] : [-(n3 = 1076 ^ [])], (1229 ^ _217387) ^ [] : [-(n3 = 1077 ^ [])], (1219 ^ _217387) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _217387) ^ [_217531] : [-(_217531 = _217531)], (4 ^ _217387) ^ [_217638, _217640] : [_217640 = _217638, -(_217638 = _217640)], (10 ^ _217387) ^ [_217842, _217844, _217846] : [-(_217846 = _217842), _217846 = _217844, _217844 = _217842], (20 ^ _217387) ^ [_218183, _218185, _218187, _218189] : [-(lt(_218187, _218183)), lt(_218189, _218185), _218189 = _218187, _218185 = _218183], (34 ^ _217387) ^ [_218627, _218629, _218631, _218633] : [-(geq(_218631, _218627)), geq(_218633, _218629), _218633 = _218631, _218629 = _218627], (48 ^ _217387) ^ [_219071, _219073, _219075, _219077] : [-(gt(_219075, _219071)), gt(_219077, _219073), _219077 = _219075, _219073 = _219071], (62 ^ _217387) ^ [_219495, _219497, _219499, _219501] : [-(leq(_219499, _219495)), leq(_219501, _219497), _219501 = _219499, _219497 = _219495], (76 ^ _217387) ^ [_219951, _219953, _219955, _219957] : [-(uniform_int_rnd(_219957, _219953) = uniform_int_rnd(_219955, _219951)), _219957 = _219955, _219953 = _219951], (86 ^ _217387) ^ [_220310, _220312, _220314, _220316] : [-(tptp_const_array1(_220316, _220312) = tptp_const_array1(_220314, _220310)), _220316 = _220314, _220312 = _220310], (96 ^ _217387) ^ [_220697, _220699, _220701, _220703, _220705, _220707] : [-(tptp_const_array2(_220707, _220703, _220699) = tptp_const_array2(_220705, _220701, _220697)), _220707 = _220705, _220703 = _220701, _220699 = _220697], (110 ^ _217387) ^ [_221185, _221187, _221189, _221191] : [-(dim(_221191, _221187) = dim(_221189, _221185)), _221191 = _221189, _221187 = _221185], (120 ^ _217387) ^ [_221516, _221518] : [_221518 = _221516, -(inv(_221518) = inv(_221516))], (126 ^ _217387) ^ [_221762, _221764, _221766, _221768] : [-(tptp_msub(_221768, _221764) = tptp_msub(_221766, _221762)), _221768 = _221766, _221764 = _221762], (136 ^ _217387) ^ [_222121, _222123, _222125, _222127] : [-(tptp_madd(_222127, _222123) = tptp_madd(_222125, _222121)), _222127 = _222125, _222123 = _222121], (146 ^ _217387) ^ [_222480, _222482, _222484, _222486] : [-(tptp_mmul(_222486, _222482) = tptp_mmul(_222484, _222480)), _222486 = _222484, _222482 = _222480], (156 ^ _217387) ^ [_222811, _222813] : [_222813 = _222811, -(trans(_222813) = trans(_222811))], (162 ^ _217387) ^ [_223085, _223087, _223089, _223091, _223093, _223095] : [-(sum(_223095, _223091, _223087) = sum(_223093, _223089, _223085)), _223095 = _223093, _223091 = _223089, _223087 = _223085], (176 ^ _217387) ^ [_223573, _223575, _223577, _223579] : [-(plus(_223579, _223575) = plus(_223577, _223573)), _223579 = _223577, _223575 = _223573], (186 ^ _217387) ^ [_223904, _223906] : [_223906 = _223904, -(pred(_223906) = pred(_223904))], (192 ^ _217387) ^ [_224150, _224152, _224154, _224156] : [-(minus(_224156, _224152) = minus(_224154, _224150)), _224156 = _224154, _224152 = _224150], (202 ^ _217387) ^ [_224565, _224567, _224569, _224571, _224573, _224575, _224577, _224579] : [-(tptp_update3(_224579, _224575, _224571, _224567) = tptp_update3(_224577, _224573, _224569, _224565)), _224579 = _224577, _224575 = _224573, _224571 = _224569, _224567 = _224565], (220 ^ _217387) ^ [_225226, _225228, _225230, _225232, _225234, _225236] : [-(tptp_update2(_225236, _225232, _225228) = tptp_update2(_225234, _225230, _225226)), _225236 = _225234, _225232 = _225230, _225228 = _225226], (234 ^ _217387) ^ [_225686, _225688] : [_225688 = _225686, -(succ(_225688) = succ(_225686))], (254 ^ _217387) ^ [_226428, _226430, _226432, _226434] : [-(a_select2(_226434, _226430) = a_select2(_226432, _226428)), _226434 = _226432, _226430 = _226428], (240 ^ _217387) ^ [_225960, _225962, _225964, _225966, _225968, _225970] : [-(a_select3(_225970, _225966, _225962) = a_select3(_225968, _225964, _225960)), _225970 = _225968, _225966 = _225964, _225962 = _225960], (869 ^ _217387) ^ [] : [-(gt(n5, n4))], (871 ^ _217387) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _217387) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _217387) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _217387) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _217387) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _217387) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _217387) ^ [] : [-(gt(n4, n0))], (885 ^ _217387) ^ [] : [-(gt(n5, n0))], (887 ^ _217387) ^ [] : [-(gt(n1, n0))], (889 ^ _217387) ^ [] : [-(gt(n2, n0))], (891 ^ _217387) ^ [] : [-(gt(n3, n0))], (893 ^ _217387) ^ [] : [-(gt(n4, n1))], (895 ^ _217387) ^ [] : [-(gt(n5, n1))], (897 ^ _217387) ^ [] : [-(gt(n2, n1))], (899 ^ _217387) ^ [] : [-(gt(n3, n1))], (901 ^ _217387) ^ [] : [-(gt(n4, n2))], (903 ^ _217387) ^ [] : [-(gt(n5, n2))], (905 ^ _217387) ^ [] : [-(gt(n3, n2))], (907 ^ _217387) ^ [] : [-(gt(n4, n3))], (909 ^ _217387) ^ [] : [-(gt(n5, n3))], (911 ^ _217387) ^ [_253897] : [leq(n0, _253897), leq(_253897, n4), -(_253897 = n0), -(_253897 = n1), -(_253897 = n2), -(_253897 = n3), -(_253897 = n4)], (937 ^ _217387) ^ [_254518] : [leq(n0, _254518), leq(_254518, n5), -(_254518 = n0), -(_254518 = n1), -(_254518 = n2), -(_254518 = n3), -(_254518 = n4), -(_254518 = n5)], (967 ^ _217387) ^ [_255225] : [-(_255225 = n0), leq(n0, _255225), leq(_255225, n0)], (977 ^ _217387) ^ [_255500] : [leq(n0, _255500), leq(_255500, n1), -(_255500 = n0), -(_255500 = n1)], (991 ^ _217387) ^ [_255863] : [leq(n0, _255863), leq(_255863, n2), -(_255863 = n0), -(_255863 = n1), -(_255863 = n2)], (1031 ^ _217387) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _217387) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _217387) ^ [] : [-(succ(n0) = n1)], (1037 ^ _217387) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _217387) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _217387) ^ [_256312] : [leq(n0, _256312), leq(_256312, n3), -(_256312 = n0), -(_256312 = n1), -(_256312 = n2), -(_256312 = n3)], (264 ^ _217387) ^ [_226859, _226861] : [-(gt(_226861, _226859)), -(gt(_226859, _226861)), -(_226861 = _226859)], (274 ^ _217387) ^ [_227174, _227176, _227178] : [-(gt(_227178, _227174)), gt(_227178, _227176), gt(_227176, _227174)], (284 ^ _217387) ^ [_227453] : [gt(_227453, _227453)], (286 ^ _217387) ^ [_227531] : [-(leq(_227531, _227531))], (288 ^ _217387) ^ [_227652, _227654, _227656] : [-(leq(_227656, _227652)), leq(_227656, _227654), leq(_227654, _227652)], (298 ^ _217387) ^ [_227990, _227992] : [lt(_227992, _227990), -(gt(_227990, _227992))], (304 ^ _217387) ^ [_228152, _228154] : [gt(_228152, _228154), -(lt(_228154, _228152))], (310 ^ _217387) ^ [_228393, _228395] : [geq(_228395, _228393), -(leq(_228393, _228395))], (316 ^ _217387) ^ [_228555, _228557] : [leq(_228555, _228557), -(geq(_228557, _228555))], (322 ^ _217387) ^ [_228767, _228769] : [gt(_228767, _228769), -(leq(_228769, _228767))], (328 ^ _217387) ^ [_228977, _228979] : [-(gt(_228977, _228979)), leq(_228979, _228977), -(_228979 = _228977)], (338 ^ _217387) ^ [_229308, _229310] : [leq(_229310, pred(_229308)), -(gt(_229308, _229310))], (344 ^ _217387) ^ [_229474, _229476] : [gt(_229474, _229476), -(leq(_229476, pred(_229474)))], (350 ^ _217387) ^ [_229661] : [-(gt(succ(_229661), _229661))], (352 ^ _217387) ^ [_229770, _229772] : [leq(_229772, _229770), -(leq(_229772, succ(_229770)))], (358 ^ _217387) ^ [_230013, _230015] : [leq(_230015, _230013), -(gt(succ(_230013), _230015))], (364 ^ _217387) ^ [_230179, _230181] : [gt(succ(_230179), _230181), -(leq(_230181, _230179))], (370 ^ _217387) ^ [_230395, _230397] : [leq(n0, _230397), -(leq(uniform_int_rnd(_230395, _230397), _230397))], (376 ^ _217387) ^ [_230611, _230613] : [leq(n0, _230613), -(leq(n0, uniform_int_rnd(_230611, _230613)))], (382 ^ _217387) ^ [_230855, _230857, _230859, _230861] : [-(a_select2(tptp_const_array1(dim(_230859, _230857), _230855), _230861) = _230855), leq(_230859, _230861), leq(_230861, _230857)], (392 ^ _217387) ^ [_231262, _231264, _231266, _231268, _231270, _231272, _231274] : [-(a_select3(tptp_const_array2(dim(_231272, _231270), dim(_231266, _231264), _231262), _231274, _231268) = _231262), leq(_231272, _231274), leq(_231274, _231270), leq(_231266, _231268), leq(_231268, _231264)], (410 ^ _217387) ^ [_231857, _231859] : [413 ^ _217387 : [(414 ^ _217387) ^ [] : [-(leq(n0, 411 ^ [_231857, _231859]))], (416 ^ _217387) ^ [] : [-(leq(411 ^ [_231857, _231859], _231857))], (418 ^ _217387) ^ [] : [-(leq(n0, 412 ^ [_231857, _231859]))], (420 ^ _217387) ^ [] : [-(leq(412 ^ [_231857, _231859], _231857))], (422 ^ _217387) ^ [] : [a_select3(_231859, 411 ^ [_231857, _231859], 412 ^ [_231857, _231859]) = a_select3(_231859, 412 ^ [_231857, _231859], 411 ^ [_231857, _231859])]], 423 ^ _217387 : [(424 ^ _217387) ^ [_232614, _232616] : [-(a_select3(trans(_231859), _232616, _232614) = a_select3(trans(_231859), _232614, _232616)), leq(n0, _232616), leq(_232616, _231857), leq(n0, _232614), leq(_232614, _231857)]]], (442 ^ _217387) ^ [_233161, _233163] : [445 ^ _217387 : [(446 ^ _217387) ^ [] : [-(leq(n0, 443 ^ [_233161, _233163]))], (448 ^ _217387) ^ [] : [-(leq(443 ^ [_233161, _233163], _233161))], (450 ^ _217387) ^ [] : [-(leq(n0, 444 ^ [_233161, _233163]))], (452 ^ _217387) ^ [] : [-(leq(444 ^ [_233161, _233163], _233161))], (454 ^ _217387) ^ [] : [a_select3(_233163, 443 ^ [_233161, _233163], 444 ^ [_233161, _233163]) = a_select3(_233163, 444 ^ [_233161, _233163], 443 ^ [_233161, _233163])]], 455 ^ _217387 : [(456 ^ _217387) ^ [_233918, _233920] : [-(a_select3(inv(_233163), _233920, _233918) = a_select3(inv(_233163), _233918, _233920)), leq(n0, _233920), leq(_233920, _233161), leq(n0, _233918), leq(_233918, _233161)]]], (474 ^ _217387) ^ [_234465, _234467] : [477 ^ _217387 : [(478 ^ _217387) ^ [] : [-(leq(n0, 475 ^ [_234465, _234467]))], (480 ^ _217387) ^ [] : [-(leq(475 ^ [_234465, _234467], _234465))], (482 ^ _217387) ^ [] : [-(leq(n0, 476 ^ [_234465, _234467]))], (484 ^ _217387) ^ [] : [-(leq(476 ^ [_234465, _234467], _234465))], (486 ^ _217387) ^ [] : [a_select3(_234467, 475 ^ [_234465, _234467], 476 ^ [_234465, _234467]) = a_select3(_234467, 476 ^ [_234465, _234467], 475 ^ [_234465, _234467])]], 487 ^ _217387 : [(488 ^ _217387) ^ [_235278, _235280, _235282, _235284] : [-(a_select3(tptp_update3(_234467, _235280, _235280, _235278), _235284, _235282) = a_select3(tptp_update3(_234467, _235280, _235280, _235278), _235282, _235284)), leq(n0, _235284), leq(_235284, _234465), leq(n0, _235282), leq(_235282, _234465), leq(n0, _235280), leq(_235280, _234465)]]], (514 ^ _217387) ^ [_236097, _236099, _236101] : [519 ^ _217387 : [(520 ^ _217387) ^ [] : [-(leq(n0, 517 ^ [_236097, _236099, _236101]))], (522 ^ _217387) ^ [] : [-(leq(517 ^ [_236097, _236099, _236101], _236097))], (524 ^ _217387) ^ [] : [-(leq(n0, 518 ^ [_236097, _236099, _236101]))], (526 ^ _217387) ^ [] : [-(leq(518 ^ [_236097, _236099, _236101], _236097))], (528 ^ _217387) ^ [] : [a_select3(_236101, 517 ^ [_236097, _236099, _236101], 518 ^ [_236097, _236099, _236101]) = a_select3(_236101, 518 ^ [_236097, _236099, _236101], 517 ^ [_236097, _236099, _236101])]], 531 ^ _217387 : [(532 ^ _217387) ^ [] : [-(leq(n0, 529 ^ [_236097, _236099, _236101]))], (534 ^ _217387) ^ [] : [-(leq(529 ^ [_236097, _236099, _236101], _236097))], (536 ^ _217387) ^ [] : [-(leq(n0, 530 ^ [_236097, _236099, _236101]))], (538 ^ _217387) ^ [] : [-(leq(530 ^ [_236097, _236099, _236101], _236097))], (540 ^ _217387) ^ [] : [a_select3(_236099, 529 ^ [_236097, _236099, _236101], 530 ^ [_236097, _236099, _236101]) = a_select3(_236099, 530 ^ [_236097, _236099, _236101], 529 ^ [_236097, _236099, _236101])]], 541 ^ _217387 : [(542 ^ _217387) ^ [_237606, _237608] : [-(a_select3(tptp_madd(_236101, _236099), _237608, _237606) = a_select3(tptp_madd(_236101, _236099), _237606, _237608)), leq(n0, _237608), leq(_237608, _236097), leq(n0, _237606), leq(_237606, _236097)]]], (560 ^ _217387) ^ [_238192, _238194, _238196] : [565 ^ _217387 : [(566 ^ _217387) ^ [] : [-(leq(n0, 563 ^ [_238192, _238194, _238196]))], (568 ^ _217387) ^ [] : [-(leq(563 ^ [_238192, _238194, _238196], _238192))], (570 ^ _217387) ^ [] : [-(leq(n0, 564 ^ [_238192, _238194, _238196]))], (572 ^ _217387) ^ [] : [-(leq(564 ^ [_238192, _238194, _238196], _238192))], (574 ^ _217387) ^ [] : [a_select3(_238196, 563 ^ [_238192, _238194, _238196], 564 ^ [_238192, _238194, _238196]) = a_select3(_238196, 564 ^ [_238192, _238194, _238196], 563 ^ [_238192, _238194, _238196])]], 577 ^ _217387 : [(578 ^ _217387) ^ [] : [-(leq(n0, 575 ^ [_238192, _238194, _238196]))], (580 ^ _217387) ^ [] : [-(leq(575 ^ [_238192, _238194, _238196], _238192))], (582 ^ _217387) ^ [] : [-(leq(n0, 576 ^ [_238192, _238194, _238196]))], (584 ^ _217387) ^ [] : [-(leq(576 ^ [_238192, _238194, _238196], _238192))], (586 ^ _217387) ^ [] : [a_select3(_238194, 575 ^ [_238192, _238194, _238196], 576 ^ [_238192, _238194, _238196]) = a_select3(_238194, 576 ^ [_238192, _238194, _238196], 575 ^ [_238192, _238194, _238196])]], 587 ^ _217387 : [(588 ^ _217387) ^ [_239701, _239703] : [-(a_select3(tptp_msub(_238196, _238194), _239703, _239701) = a_select3(tptp_msub(_238196, _238194), _239701, _239703)), leq(n0, _239703), leq(_239703, _238192), leq(n0, _239701), leq(_239701, _238192)]]], (606 ^ _217387) ^ [_240287, _240289, _240291] : [609 ^ _217387 : [(610 ^ _217387) ^ [] : [-(leq(n0, 607 ^ [_240287, _240289, _240291]))], (612 ^ _217387) ^ [] : [-(leq(607 ^ [_240287, _240289, _240291], _240287))], (614 ^ _217387) ^ [] : [-(leq(n0, 608 ^ [_240287, _240289, _240291]))], (616 ^ _217387) ^ [] : [-(leq(608 ^ [_240287, _240289, _240291], _240287))], (618 ^ _217387) ^ [] : [a_select3(_240289, 607 ^ [_240287, _240289, _240291], 608 ^ [_240287, _240289, _240291]) = a_select3(_240289, 608 ^ [_240287, _240289, _240291], 607 ^ [_240287, _240289, _240291])]], 619 ^ _217387 : [(620 ^ _217387) ^ [_241100, _241102] : [-(a_select3(tptp_mmul(_240291, tptp_mmul(_240289, trans(_240291))), _241102, _241100) = a_select3(tptp_mmul(_240291, tptp_mmul(_240289, trans(_240291))), _241100, _241102)), leq(n0, _241102), leq(_241102, _240287), leq(n0, _241100), leq(_241100, _240287)]]], (638 ^ _217387) ^ [_241719, _241721, _241723, _241725] : [641 ^ _217387 : [(642 ^ _217387) ^ [] : [-(leq(n0, 639 ^ [_241719, _241721, _241723, _241725]))], (644 ^ _217387) ^ [] : [-(leq(639 ^ [_241719, _241721, _241723, _241725], _241719))], (646 ^ _217387) ^ [] : [-(leq(n0, 640 ^ [_241719, _241721, _241723, _241725]))], (648 ^ _217387) ^ [] : [-(leq(640 ^ [_241719, _241721, _241723, _241725], _241719))], (650 ^ _217387) ^ [] : [a_select3(_241723, 639 ^ [_241719, _241721, _241723, _241725], 640 ^ [_241719, _241721, _241723, _241725]) = a_select3(_241723, 640 ^ [_241719, _241721, _241723, _241725], 639 ^ [_241719, _241721, _241723, _241725])]], 651 ^ _217387 : [(652 ^ _217387) ^ [_242576, _242578] : [-(a_select3(tptp_mmul(_241725, tptp_mmul(_241723, trans(_241725))), _242578, _242576) = a_select3(tptp_mmul(_241725, tptp_mmul(_241723, trans(_241725))), _242576, _242578)), leq(n0, _242578), leq(_242578, _241721), leq(n0, _242576), leq(_242576, _241721)]]], (670 ^ _217387) ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285] : [675 ^ _217387 : [(676 ^ _217387) ^ [] : [-(leq(n0, 673 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (678 ^ _217387) ^ [] : [-(leq(673 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243271))], (680 ^ _217387) ^ [] : [-(leq(n0, 674 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (682 ^ _217387) ^ [] : [-(leq(674 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243271))], (684 ^ _217387) ^ [] : [a_select3(_243279, 673 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 674 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]) = a_select3(_243279, 674 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 673 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285])]], 689 ^ _217387 : [(690 ^ _217387) ^ [] : [-(leq(n0, 687 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (692 ^ _217387) ^ [] : [-(leq(687 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243273))], (694 ^ _217387) ^ [] : [-(leq(n0, 688 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (696 ^ _217387) ^ [] : [-(leq(688 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243273))], (698 ^ _217387) ^ [] : [a_select3(_243285, 687 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 688 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]) = a_select3(_243285, 688 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 687 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285])]], 701 ^ _217387 : [(702 ^ _217387) ^ [] : [-(leq(n0, 699 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (704 ^ _217387) ^ [] : [-(leq(699 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243273))], (706 ^ _217387) ^ [] : [-(leq(n0, 700 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]))], (708 ^ _217387) ^ [] : [-(leq(700 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], _243273))], (710 ^ _217387) ^ [] : [a_select3(_243275, 699 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 700 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285]) = a_select3(_243275, 700 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285], 699 ^ [_243271, _243273, _243275, _243277, _243279, _243281, _243283, _243285])]], 711 ^ _217387 : [(712 ^ _217387) ^ [_246199, _246201] : [-(a_select3(tptp_madd(_243285, tptp_mmul(_243283, tptp_mmul(tptp_madd(tptp_mmul(_243281, tptp_mmul(_243279, trans(_243281))), tptp_mmul(_243277, tptp_mmul(_243275, trans(_243277)))), trans(_243283)))), _246201, _246199) = a_select3(tptp_madd(_243285, tptp_mmul(_243283, tptp_mmul(tptp_madd(tptp_mmul(_243281, tptp_mmul(_243279, trans(_243281))), tptp_mmul(_243277, tptp_mmul(_243275, trans(_243277)))), trans(_243283)))), _246199, _246201)), leq(n0, _246201), leq(_246201, _243273), leq(n0, _246199), leq(_246199, _243273)]]], (730 ^ _217387) ^ [_246952] : [-(sum(n0, tptp_minus_1, _246952) = n0)], (732 ^ _217387) ^ [_247034] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _247034))], (734 ^ _217387) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _217387) ^ [_247169] : [-(plus(_247169, n1) = succ(_247169))], (738 ^ _217387) ^ [_247252] : [-(plus(n1, _247252) = succ(_247252))], (740 ^ _217387) ^ [_247335] : [-(plus(_247335, n2) = succ(succ(_247335)))], (742 ^ _217387) ^ [_247420] : [-(plus(n2, _247420) = succ(succ(_247420)))], (744 ^ _217387) ^ [_247505] : [-(plus(_247505, n3) = succ(succ(succ(_247505))))], (746 ^ _217387) ^ [_247592] : [-(plus(n3, _247592) = succ(succ(succ(_247592))))], (748 ^ _217387) ^ [_247679] : [-(plus(_247679, n4) = succ(succ(succ(succ(_247679)))))], (750 ^ _217387) ^ [_247768] : [-(plus(n4, _247768) = succ(succ(succ(succ(_247768)))))], (752 ^ _217387) ^ [_247857] : [-(plus(_247857, n5) = succ(succ(succ(succ(succ(_247857))))))], (754 ^ _217387) ^ [_247948] : [-(plus(n5, _247948) = succ(succ(succ(succ(succ(_247948))))))], (756 ^ _217387) ^ [_248039] : [-(minus(_248039, n1) = pred(_248039))], (758 ^ _217387) ^ [_248122] : [-(pred(succ(_248122)) = _248122)], (760 ^ _217387) ^ [_248204] : [-(succ(pred(_248204)) = _248204)], (762 ^ _217387) ^ [_248344, _248346] : [leq(succ(_248346), succ(_248344)), -(leq(_248346, _248344))], (768 ^ _217387) ^ [_248514, _248516] : [leq(_248516, _248514), -(leq(succ(_248516), succ(_248514)))], (774 ^ _217387) ^ [_248734, _248736] : [leq(succ(_248736), _248734), -(gt(_248734, _248736))], (780 ^ _217387) ^ [_248948, _248950] : [leq(minus(_248950, _248948), _248950), -(leq(n0, _248948))], (786 ^ _217387) ^ [_249177, _249179, _249181, _249183] : [-(a_select3(tptp_update3(_249183, _249181, _249179, _249177), _249181, _249179) = _249177)], (788 ^ _217387) ^ [_249369, _249371, _249373, _249375, _249377, _249379, _249381] : [-(a_select3(tptp_update3(_249373, _249381, _249379, _249369), _249377, _249375) = _249371), -(_249381 = _249377), _249379 = _249375, a_select3(_249373, _249377, _249375) = _249371], (802 ^ _217387) ^ [_249912, _249914, _249916, _249918, _249920, _249922] : [-(a_select3(tptp_update3(_249914, _249918, _249916, _249912), _249922, _249920) = _249912), 807 ^ _217387 : [(808 ^ _217387) ^ [] : [-(leq(n0, 805 ^ [_249912, _249914, _249916, _249918, _249920, _249922]))], (810 ^ _217387) ^ [] : [-(leq(n0, 806 ^ [_249912, _249914, _249916, _249918, _249920, _249922]))], (812 ^ _217387) ^ [] : [-(leq(805 ^ [_249912, _249914, _249916, _249918, _249920, _249922], _249918))], (814 ^ _217387) ^ [] : [-(leq(806 ^ [_249912, _249914, _249916, _249918, _249920, _249922], _249916))], (816 ^ _217387) ^ [] : [a_select3(_249914, 805 ^ [_249912, _249914, _249916, _249918, _249920, _249922], 806 ^ [_249912, _249914, _249916, _249918, _249920, _249922]) = _249912]], leq(n0, _249922), leq(_249922, _249918), leq(n0, _249920), leq(_249920, _249916)], (834 ^ _217387) ^ [_251254, _251256, _251258] : [-(a_select2(tptp_update2(_251258, _251256, _251254), _251256) = _251254)], (836 ^ _217387) ^ [_251414, _251416, _251418, _251420, _251422] : [-(a_select2(tptp_update2(_251418, _251422, _251414), _251420) = _251416), -(_251422 = _251420), a_select2(_251418, _251420) = _251416], (865 ^ _217387) ^ [] : [-(true)], (867 ^ _217387) ^ [] : [def = use], (846 ^ _217387) ^ [_251794, _251796, _251798, _251800] : [-(a_select2(tptp_update2(_251796, _251798, _251794), _251800) = _251794), 850 ^ _217387 : [(851 ^ _217387) ^ [] : [-(leq(n0, 849 ^ [_251794, _251796, _251798, _251800]))], (853 ^ _217387) ^ [] : [-(leq(849 ^ [_251794, _251796, _251798, _251800], _251798))], (855 ^ _217387) ^ [] : [a_select2(_251796, 849 ^ [_251794, _251796, _251798, _251800]) = _251794]], leq(n0, _251800), leq(_251800, _251798)]], input).
% 0.37/1.40  ncf('1',plain,[n3 = 1076 ^ [], n3 = 1077 ^ []],start(1171 ^ 0)).
% 0.37/1.40  ncf('1.1',plain,[-(n3 = 1076 ^ [])],extension(1227 ^ 1)).
% 0.37/1.40  ncf('1.2',plain,[-(n3 = 1077 ^ [])],extension(1229 ^ 1)).
% 0.37/1.40  %-----------------------------------------------------
% 0.37/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------