%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV231+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 0.29s 1.36s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SWV231+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.11  % Command  : nanocop.sh %s %d
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri May 19 02:12:45 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.29/1.36  
% 0.29/1.36  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.29/1.36  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.36  %-----------------------------------------------------
% 0.29/1.36  ncf(matrix, plain, [(1041 ^ _210767) ^ [_250698, _250700] : [-(a_select3(q_ds1_filter, _250700, _250698) = a_select3(q_ds1_filter, _250698, _250700)), leq(n0, _250700), leq(n0, _250698), leq(_250700, n5), leq(_250698, n5)], (1059 ^ _210767) ^ [_251171, _251173] : [-(a_select3(r_ds1_filter, _251173, _251171) = a_select3(r_ds1_filter, _251171, _251173)), leq(n0, _251173), leq(n0, _251171), leq(_251173, n2), leq(_251171, n2)], (1079 ^ _210767) ^ [] : [-(leq(n0, 1076 ^ []))], (1081 ^ _210767) ^ [] : [-(leq(n0, 1077 ^ []))], (1083 ^ _210767) ^ [] : [-(leq(1076 ^ [], n5))], (1085 ^ _210767) ^ [] : [-(leq(1077 ^ [], n5))], (1173 ^ _210767) ^ [] : [n0 = a_select2(xinit_noise, n5)], (1087 ^ _210767) ^ [] : [n0 = 1077 ^ [], n4 = 1076 ^ []], (1093 ^ _210767) ^ [] : [n0 = 1077 ^ [], n5 = 1076 ^ []], (1099 ^ _210767) ^ [] : [n1 = 1077 ^ [], n4 = 1076 ^ []], (1105 ^ _210767) ^ [] : [n1 = 1077 ^ [], n5 = 1076 ^ []], (1111 ^ _210767) ^ [] : [n2 = 1077 ^ [], n4 = 1076 ^ []], (1117 ^ _210767) ^ [] : [n2 = 1077 ^ [], n5 = 1076 ^ []], (1123 ^ _210767) ^ [] : [n3 = 1076 ^ [], n5 = 1077 ^ []], (1129 ^ _210767) ^ [] : [n3 = 1077 ^ [], n4 = 1076 ^ []], (1135 ^ _210767) ^ [] : [n3 = 1077 ^ [], n5 = 1076 ^ []], (1141 ^ _210767) ^ [] : [n4 = 1076 ^ [], n4 = 1077 ^ []], (1147 ^ _210767) ^ [] : [n4 = 1076 ^ [], n5 = 1077 ^ []], (1153 ^ _210767) ^ [] : [n4 = 1077 ^ [], n5 = 1076 ^ []], (1165 ^ _210767) ^ [] : [-(n3 = 1076 ^ [])], (1167 ^ _210767) ^ [] : [-(n4 = 1077 ^ [])], (1169 ^ _210767) ^ [] : [-(n5 = 1076 ^ [])], (1171 ^ _210767) ^ [] : [-(n5 = 1077 ^ [])], (1159 ^ _210767) ^ [] : [n5 = 1076 ^ [], n5 = 1077 ^ []], (2 ^ _210767) ^ [_210911] : [-(_210911 = _210911)], (4 ^ _210767) ^ [_211018, _211020] : [_211020 = _211018, -(_211018 = _211020)], (10 ^ _210767) ^ [_211222, _211224, _211226] : [-(_211226 = _211222), _211226 = _211224, _211224 = _211222], (20 ^ _210767) ^ [_211563, _211565, _211567, _211569] : [-(lt(_211567, _211563)), lt(_211569, _211565), _211569 = _211567, _211565 = _211563], (34 ^ _210767) ^ [_212007, _212009, _212011, _212013] : [-(geq(_212011, _212007)), geq(_212013, _212009), _212013 = _212011, _212009 = _212007], (48 ^ _210767) ^ [_212451, _212453, _212455, _212457] : [-(gt(_212455, _212451)), gt(_212457, _212453), _212457 = _212455, _212453 = _212451], (62 ^ _210767) ^ [_212875, _212877, _212879, _212881] : [-(leq(_212879, _212875)), leq(_212881, _212877), _212881 = _212879, _212877 = _212875], (76 ^ _210767) ^ [_213331, _213333, _213335, _213337] : [-(uniform_int_rnd(_213337, _213333) = uniform_int_rnd(_213335, _213331)), _213337 = _213335, _213333 = _213331], (86 ^ _210767) ^ [_213690, _213692, _213694, _213696] : [-(tptp_const_array1(_213696, _213692) = tptp_const_array1(_213694, _213690)), _213696 = _213694, _213692 = _213690], (96 ^ _210767) ^ [_214077, _214079, _214081, _214083, _214085, _214087] : [-(tptp_const_array2(_214087, _214083, _214079) = tptp_const_array2(_214085, _214081, _214077)), _214087 = _214085, _214083 = _214081, _214079 = _214077], (110 ^ _210767) ^ [_214565, _214567, _214569, _214571] : [-(dim(_214571, _214567) = dim(_214569, _214565)), _214571 = _214569, _214567 = _214565], (120 ^ _210767) ^ [_214896, _214898] : [_214898 = _214896, -(inv(_214898) = inv(_214896))], (126 ^ _210767) ^ [_215142, _215144, _215146, _215148] : [-(tptp_msub(_215148, _215144) = tptp_msub(_215146, _215142)), _215148 = _215146, _215144 = _215142], (136 ^ _210767) ^ [_215501, _215503, _215505, _215507] : [-(tptp_madd(_215507, _215503) = tptp_madd(_215505, _215501)), _215507 = _215505, _215503 = _215501], (146 ^ _210767) ^ [_215860, _215862, _215864, _215866] : [-(tptp_mmul(_215866, _215862) = tptp_mmul(_215864, _215860)), _215866 = _215864, _215862 = _215860], (156 ^ _210767) ^ [_216191, _216193] : [_216193 = _216191, -(trans(_216193) = trans(_216191))], (162 ^ _210767) ^ [_216465, _216467, _216469, _216471, _216473, _216475] : [-(sum(_216475, _216471, _216467) = sum(_216473, _216469, _216465)), _216475 = _216473, _216471 = _216469, _216467 = _216465], (176 ^ _210767) ^ [_216953, _216955, _216957, _216959] : [-(plus(_216959, _216955) = plus(_216957, _216953)), _216959 = _216957, _216955 = _216953], (186 ^ _210767) ^ [_217284, _217286] : [_217286 = _217284, -(pred(_217286) = pred(_217284))], (192 ^ _210767) ^ [_217530, _217532, _217534, _217536] : [-(minus(_217536, _217532) = minus(_217534, _217530)), _217536 = _217534, _217532 = _217530], (202 ^ _210767) ^ [_217945, _217947, _217949, _217951, _217953, _217955, _217957, _217959] : [-(tptp_update3(_217959, _217955, _217951, _217947) = tptp_update3(_217957, _217953, _217949, _217945)), _217959 = _217957, _217955 = _217953, _217951 = _217949, _217947 = _217945], (220 ^ _210767) ^ [_218606, _218608, _218610, _218612, _218614, _218616] : [-(tptp_update2(_218616, _218612, _218608) = tptp_update2(_218614, _218610, _218606)), _218616 = _218614, _218612 = _218610, _218608 = _218606], (234 ^ _210767) ^ [_219066, _219068] : [_219068 = _219066, -(succ(_219068) = succ(_219066))], (254 ^ _210767) ^ [_219808, _219810, _219812, _219814] : [-(a_select2(_219814, _219810) = a_select2(_219812, _219808)), _219814 = _219812, _219810 = _219808], (240 ^ _210767) ^ [_219340, _219342, _219344, _219346, _219348, _219350] : [-(a_select3(_219350, _219346, _219342) = a_select3(_219348, _219344, _219340)), _219350 = _219348, _219346 = _219344, _219342 = _219340], (869 ^ _210767) ^ [] : [-(gt(n5, n4))], (871 ^ _210767) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _210767) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _210767) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _210767) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _210767) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _210767) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _210767) ^ [] : [-(gt(n4, n0))], (885 ^ _210767) ^ [] : [-(gt(n5, n0))], (887 ^ _210767) ^ [] : [-(gt(n1, n0))], (889 ^ _210767) ^ [] : [-(gt(n2, n0))], (891 ^ _210767) ^ [] : [-(gt(n3, n0))], (893 ^ _210767) ^ [] : [-(gt(n4, n1))], (895 ^ _210767) ^ [] : [-(gt(n5, n1))], (897 ^ _210767) ^ [] : [-(gt(n2, n1))], (899 ^ _210767) ^ [] : [-(gt(n3, n1))], (901 ^ _210767) ^ [] : [-(gt(n4, n2))], (903 ^ _210767) ^ [] : [-(gt(n5, n2))], (905 ^ _210767) ^ [] : [-(gt(n3, n2))], (907 ^ _210767) ^ [] : [-(gt(n4, n3))], (909 ^ _210767) ^ [] : [-(gt(n5, n3))], (911 ^ _210767) ^ [_247277] : [leq(n0, _247277), leq(_247277, n4), -(_247277 = n0), -(_247277 = n1), -(_247277 = n2), -(_247277 = n3), -(_247277 = n4)], (937 ^ _210767) ^ [_247898] : [leq(n0, _247898), leq(_247898, n5), -(_247898 = n0), -(_247898 = n1), -(_247898 = n2), -(_247898 = n3), -(_247898 = n4), -(_247898 = n5)], (967 ^ _210767) ^ [_248605] : [-(_248605 = n0), leq(n0, _248605), leq(_248605, n0)], (977 ^ _210767) ^ [_248880] : [leq(n0, _248880), leq(_248880, n1), -(_248880 = n0), -(_248880 = n1)], (991 ^ _210767) ^ [_249243] : [leq(n0, _249243), leq(_249243, n2), -(_249243 = n0), -(_249243 = n1), -(_249243 = n2)], (1031 ^ _210767) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _210767) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _210767) ^ [] : [-(succ(n0) = n1)], (1037 ^ _210767) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _210767) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _210767) ^ [_249692] : [leq(n0, _249692), leq(_249692, n3), -(_249692 = n0), -(_249692 = n1), -(_249692 = n2), -(_249692 = n3)], (264 ^ _210767) ^ [_220239, _220241] : [-(gt(_220241, _220239)), -(gt(_220239, _220241)), -(_220241 = _220239)], (274 ^ _210767) ^ [_220554, _220556, _220558] : [-(gt(_220558, _220554)), gt(_220558, _220556), gt(_220556, _220554)], (284 ^ _210767) ^ [_220833] : [gt(_220833, _220833)], (286 ^ _210767) ^ [_220911] : [-(leq(_220911, _220911))], (288 ^ _210767) ^ [_221032, _221034, _221036] : [-(leq(_221036, _221032)), leq(_221036, _221034), leq(_221034, _221032)], (298 ^ _210767) ^ [_221370, _221372] : [lt(_221372, _221370), -(gt(_221370, _221372))], (304 ^ _210767) ^ [_221532, _221534] : [gt(_221532, _221534), -(lt(_221534, _221532))], (310 ^ _210767) ^ [_221773, _221775] : [geq(_221775, _221773), -(leq(_221773, _221775))], (316 ^ _210767) ^ [_221935, _221937] : [leq(_221935, _221937), -(geq(_221937, _221935))], (322 ^ _210767) ^ [_222147, _222149] : [gt(_222147, _222149), -(leq(_222149, _222147))], (328 ^ _210767) ^ [_222357, _222359] : [-(gt(_222357, _222359)), leq(_222359, _222357), -(_222359 = _222357)], (338 ^ _210767) ^ [_222688, _222690] : [leq(_222690, pred(_222688)), -(gt(_222688, _222690))], (344 ^ _210767) ^ [_222854, _222856] : [gt(_222854, _222856), -(leq(_222856, pred(_222854)))], (350 ^ _210767) ^ [_223041] : [-(gt(succ(_223041), _223041))], (352 ^ _210767) ^ [_223150, _223152] : [leq(_223152, _223150), -(leq(_223152, succ(_223150)))], (358 ^ _210767) ^ [_223393, _223395] : [leq(_223395, _223393), -(gt(succ(_223393), _223395))], (364 ^ _210767) ^ [_223559, _223561] : [gt(succ(_223559), _223561), -(leq(_223561, _223559))], (370 ^ _210767) ^ [_223775, _223777] : [leq(n0, _223777), -(leq(uniform_int_rnd(_223775, _223777), _223777))], (376 ^ _210767) ^ [_223991, _223993] : [leq(n0, _223993), -(leq(n0, uniform_int_rnd(_223991, _223993)))], (382 ^ _210767) ^ [_224235, _224237, _224239, _224241] : [-(a_select2(tptp_const_array1(dim(_224239, _224237), _224235), _224241) = _224235), leq(_224239, _224241), leq(_224241, _224237)], (392 ^ _210767) ^ [_224642, _224644, _224646, _224648, _224650, _224652, _224654] : [-(a_select3(tptp_const_array2(dim(_224652, _224650), dim(_224646, _224644), _224642), _224654, _224648) = _224642), leq(_224652, _224654), leq(_224654, _224650), leq(_224646, _224648), leq(_224648, _224644)], (410 ^ _210767) ^ [_225237, _225239] : [413 ^ _210767 : [(414 ^ _210767) ^ [] : [-(leq(n0, 411 ^ [_225237, _225239]))], (416 ^ _210767) ^ [] : [-(leq(411 ^ [_225237, _225239], _225237))], (418 ^ _210767) ^ [] : [-(leq(n0, 412 ^ [_225237, _225239]))], (420 ^ _210767) ^ [] : [-(leq(412 ^ [_225237, _225239], _225237))], (422 ^ _210767) ^ [] : [a_select3(_225239, 411 ^ [_225237, _225239], 412 ^ [_225237, _225239]) = a_select3(_225239, 412 ^ [_225237, _225239], 411 ^ [_225237, _225239])]], 423 ^ _210767 : [(424 ^ _210767) ^ [_225994, _225996] : [-(a_select3(trans(_225239), _225996, _225994) = a_select3(trans(_225239), _225994, _225996)), leq(n0, _225996), leq(_225996, _225237), leq(n0, _225994), leq(_225994, _225237)]]], (442 ^ _210767) ^ [_226541, _226543] : [445 ^ _210767 : [(446 ^ _210767) ^ [] : [-(leq(n0, 443 ^ [_226541, _226543]))], (448 ^ _210767) ^ [] : [-(leq(443 ^ [_226541, _226543], _226541))], (450 ^ _210767) ^ [] : [-(leq(n0, 444 ^ [_226541, _226543]))], (452 ^ _210767) ^ [] : [-(leq(444 ^ [_226541, _226543], _226541))], (454 ^ _210767) ^ [] : [a_select3(_226543, 443 ^ [_226541, _226543], 444 ^ [_226541, _226543]) = a_select3(_226543, 444 ^ [_226541, _226543], 443 ^ [_226541, _226543])]], 455 ^ _210767 : [(456 ^ _210767) ^ [_227298, _227300] : [-(a_select3(inv(_226543), _227300, _227298) = a_select3(inv(_226543), _227298, _227300)), leq(n0, _227300), leq(_227300, _226541), leq(n0, _227298), leq(_227298, _226541)]]], (474 ^ _210767) ^ [_227845, _227847] : [477 ^ _210767 : [(478 ^ _210767) ^ [] : [-(leq(n0, 475 ^ [_227845, _227847]))], (480 ^ _210767) ^ [] : [-(leq(475 ^ [_227845, _227847], _227845))], (482 ^ _210767) ^ [] : [-(leq(n0, 476 ^ [_227845, _227847]))], (484 ^ _210767) ^ [] : [-(leq(476 ^ [_227845, _227847], _227845))], (486 ^ _210767) ^ [] : [a_select3(_227847, 475 ^ [_227845, _227847], 476 ^ [_227845, _227847]) = a_select3(_227847, 476 ^ [_227845, _227847], 475 ^ [_227845, _227847])]], 487 ^ _210767 : [(488 ^ _210767) ^ [_228658, _228660, _228662, _228664] : [-(a_select3(tptp_update3(_227847, _228660, _228660, _228658), _228664, _228662) = a_select3(tptp_update3(_227847, _228660, _228660, _228658), _228662, _228664)), leq(n0, _228664), leq(_228664, _227845), leq(n0, _228662), leq(_228662, _227845), leq(n0, _228660), leq(_228660, _227845)]]], (514 ^ _210767) ^ [_229477, _229479, _229481] : [519 ^ _210767 : [(520 ^ _210767) ^ [] : [-(leq(n0, 517 ^ [_229477, _229479, _229481]))], (522 ^ _210767) ^ [] : [-(leq(517 ^ [_229477, _229479, _229481], _229477))], (524 ^ _210767) ^ [] : [-(leq(n0, 518 ^ [_229477, _229479, _229481]))], (526 ^ _210767) ^ [] : [-(leq(518 ^ [_229477, _229479, _229481], _229477))], (528 ^ _210767) ^ [] : [a_select3(_229481, 517 ^ [_229477, _229479, _229481], 518 ^ [_229477, _229479, _229481]) = a_select3(_229481, 518 ^ [_229477, _229479, _229481], 517 ^ [_229477, _229479, _229481])]], 531 ^ _210767 : [(532 ^ _210767) ^ [] : [-(leq(n0, 529 ^ [_229477, _229479, _229481]))], (534 ^ _210767) ^ [] : [-(leq(529 ^ [_229477, _229479, _229481], _229477))], (536 ^ _210767) ^ [] : [-(leq(n0, 530 ^ [_229477, _229479, _229481]))], (538 ^ _210767) ^ [] : [-(leq(530 ^ [_229477, _229479, _229481], _229477))], (540 ^ _210767) ^ [] : [a_select3(_229479, 529 ^ [_229477, _229479, _229481], 530 ^ [_229477, _229479, _229481]) = a_select3(_229479, 530 ^ [_229477, _229479, _229481], 529 ^ [_229477, _229479, _229481])]], 541 ^ _210767 : [(542 ^ _210767) ^ [_230986, _230988] : [-(a_select3(tptp_madd(_229481, _229479), _230988, _230986) = a_select3(tptp_madd(_229481, _229479), _230986, _230988)), leq(n0, _230988), leq(_230988, _229477), leq(n0, _230986), leq(_230986, _229477)]]], (560 ^ _210767) ^ [_231572, _231574, _231576] : [565 ^ _210767 : [(566 ^ _210767) ^ [] : [-(leq(n0, 563 ^ [_231572, _231574, _231576]))], (568 ^ _210767) ^ [] : [-(leq(563 ^ [_231572, _231574, _231576], _231572))], (570 ^ _210767) ^ [] : [-(leq(n0, 564 ^ [_231572, _231574, _231576]))], (572 ^ _210767) ^ [] : [-(leq(564 ^ [_231572, _231574, _231576], _231572))], (574 ^ _210767) ^ [] : [a_select3(_231576, 563 ^ [_231572, _231574, _231576], 564 ^ [_231572, _231574, _231576]) = a_select3(_231576, 564 ^ [_231572, _231574, _231576], 563 ^ [_231572, _231574, _231576])]], 577 ^ _210767 : [(578 ^ _210767) ^ [] : [-(leq(n0, 575 ^ [_231572, _231574, _231576]))], (580 ^ _210767) ^ [] : [-(leq(575 ^ [_231572, _231574, _231576], _231572))], (582 ^ _210767) ^ [] : [-(leq(n0, 576 ^ [_231572, _231574, _231576]))], (584 ^ _210767) ^ [] : [-(leq(576 ^ [_231572, _231574, _231576], _231572))], (586 ^ _210767) ^ [] : [a_select3(_231574, 575 ^ [_231572, _231574, _231576], 576 ^ [_231572, _231574, _231576]) = a_select3(_231574, 576 ^ [_231572, _231574, _231576], 575 ^ [_231572, _231574, _231576])]], 587 ^ _210767 : [(588 ^ _210767) ^ [_233081, _233083] : [-(a_select3(tptp_msub(_231576, _231574), _233083, _233081) = a_select3(tptp_msub(_231576, _231574), _233081, _233083)), leq(n0, _233083), leq(_233083, _231572), leq(n0, _233081), leq(_233081, _231572)]]], (606 ^ _210767) ^ [_233667, _233669, _233671] : [609 ^ _210767 : [(610 ^ _210767) ^ [] : [-(leq(n0, 607 ^ [_233667, _233669, _233671]))], (612 ^ _210767) ^ [] : [-(leq(607 ^ [_233667, _233669, _233671], _233667))], (614 ^ _210767) ^ [] : [-(leq(n0, 608 ^ [_233667, _233669, _233671]))], (616 ^ _210767) ^ [] : [-(leq(608 ^ [_233667, _233669, _233671], _233667))], (618 ^ _210767) ^ [] : [a_select3(_233669, 607 ^ [_233667, _233669, _233671], 608 ^ [_233667, _233669, _233671]) = a_select3(_233669, 608 ^ [_233667, _233669, _233671], 607 ^ [_233667, _233669, _233671])]], 619 ^ _210767 : [(620 ^ _210767) ^ [_234480, _234482] : [-(a_select3(tptp_mmul(_233671, tptp_mmul(_233669, trans(_233671))), _234482, _234480) = a_select3(tptp_mmul(_233671, tptp_mmul(_233669, trans(_233671))), _234480, _234482)), leq(n0, _234482), leq(_234482, _233667), leq(n0, _234480), leq(_234480, _233667)]]], (638 ^ _210767) ^ [_235099, _235101, _235103, _235105] : [641 ^ _210767 : [(642 ^ _210767) ^ [] : [-(leq(n0, 639 ^ [_235099, _235101, _235103, _235105]))], (644 ^ _210767) ^ [] : [-(leq(639 ^ [_235099, _235101, _235103, _235105], _235099))], (646 ^ _210767) ^ [] : [-(leq(n0, 640 ^ [_235099, _235101, _235103, _235105]))], (648 ^ _210767) ^ [] : [-(leq(640 ^ [_235099, _235101, _235103, _235105], _235099))], (650 ^ _210767) ^ [] : [a_select3(_235103, 639 ^ [_235099, _235101, _235103, _235105], 640 ^ [_235099, _235101, _235103, _235105]) = a_select3(_235103, 640 ^ [_235099, _235101, _235103, _235105], 639 ^ [_235099, _235101, _235103, _235105])]], 651 ^ _210767 : [(652 ^ _210767) ^ [_235956, _235958] : [-(a_select3(tptp_mmul(_235105, tptp_mmul(_235103, trans(_235105))), _235958, _235956) = a_select3(tptp_mmul(_235105, tptp_mmul(_235103, trans(_235105))), _235956, _235958)), leq(n0, _235958), leq(_235958, _235101), leq(n0, _235956), leq(_235956, _235101)]]], (670 ^ _210767) ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665] : [675 ^ _210767 : [(676 ^ _210767) ^ [] : [-(leq(n0, 673 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (678 ^ _210767) ^ [] : [-(leq(673 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236651))], (680 ^ _210767) ^ [] : [-(leq(n0, 674 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (682 ^ _210767) ^ [] : [-(leq(674 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236651))], (684 ^ _210767) ^ [] : [a_select3(_236659, 673 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 674 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]) = a_select3(_236659, 674 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 673 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665])]], 689 ^ _210767 : [(690 ^ _210767) ^ [] : [-(leq(n0, 687 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (692 ^ _210767) ^ [] : [-(leq(687 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236653))], (694 ^ _210767) ^ [] : [-(leq(n0, 688 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (696 ^ _210767) ^ [] : [-(leq(688 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236653))], (698 ^ _210767) ^ [] : [a_select3(_236665, 687 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 688 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]) = a_select3(_236665, 688 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 687 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665])]], 701 ^ _210767 : [(702 ^ _210767) ^ [] : [-(leq(n0, 699 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (704 ^ _210767) ^ [] : [-(leq(699 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236653))], (706 ^ _210767) ^ [] : [-(leq(n0, 700 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]))], (708 ^ _210767) ^ [] : [-(leq(700 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], _236653))], (710 ^ _210767) ^ [] : [a_select3(_236655, 699 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 700 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665]) = a_select3(_236655, 700 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665], 699 ^ [_236651, _236653, _236655, _236657, _236659, _236661, _236663, _236665])]], 711 ^ _210767 : [(712 ^ _210767) ^ [_239579, _239581] : [-(a_select3(tptp_madd(_236665, tptp_mmul(_236663, tptp_mmul(tptp_madd(tptp_mmul(_236661, tptp_mmul(_236659, trans(_236661))), tptp_mmul(_236657, tptp_mmul(_236655, trans(_236657)))), trans(_236663)))), _239581, _239579) = a_select3(tptp_madd(_236665, tptp_mmul(_236663, tptp_mmul(tptp_madd(tptp_mmul(_236661, tptp_mmul(_236659, trans(_236661))), tptp_mmul(_236657, tptp_mmul(_236655, trans(_236657)))), trans(_236663)))), _239579, _239581)), leq(n0, _239581), leq(_239581, _236653), leq(n0, _239579), leq(_239579, _236653)]]], (730 ^ _210767) ^ [_240332] : [-(sum(n0, tptp_minus_1, _240332) = n0)], (732 ^ _210767) ^ [_240414] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _240414))], (734 ^ _210767) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _210767) ^ [_240549] : [-(plus(_240549, n1) = succ(_240549))], (738 ^ _210767) ^ [_240632] : [-(plus(n1, _240632) = succ(_240632))], (740 ^ _210767) ^ [_240715] : [-(plus(_240715, n2) = succ(succ(_240715)))], (742 ^ _210767) ^ [_240800] : [-(plus(n2, _240800) = succ(succ(_240800)))], (744 ^ _210767) ^ [_240885] : [-(plus(_240885, n3) = succ(succ(succ(_240885))))], (746 ^ _210767) ^ [_240972] : [-(plus(n3, _240972) = succ(succ(succ(_240972))))], (748 ^ _210767) ^ [_241059] : [-(plus(_241059, n4) = succ(succ(succ(succ(_241059)))))], (750 ^ _210767) ^ [_241148] : [-(plus(n4, _241148) = succ(succ(succ(succ(_241148)))))], (752 ^ _210767) ^ [_241237] : [-(plus(_241237, n5) = succ(succ(succ(succ(succ(_241237))))))], (754 ^ _210767) ^ [_241328] : [-(plus(n5, _241328) = succ(succ(succ(succ(succ(_241328))))))], (756 ^ _210767) ^ [_241419] : [-(minus(_241419, n1) = pred(_241419))], (758 ^ _210767) ^ [_241502] : [-(pred(succ(_241502)) = _241502)], (760 ^ _210767) ^ [_241584] : [-(succ(pred(_241584)) = _241584)], (762 ^ _210767) ^ [_241724, _241726] : [leq(succ(_241726), succ(_241724)), -(leq(_241726, _241724))], (768 ^ _210767) ^ [_241894, _241896] : [leq(_241896, _241894), -(leq(succ(_241896), succ(_241894)))], (774 ^ _210767) ^ [_242114, _242116] : [leq(succ(_242116), _242114), -(gt(_242114, _242116))], (780 ^ _210767) ^ [_242328, _242330] : [leq(minus(_242330, _242328), _242330), -(leq(n0, _242328))], (786 ^ _210767) ^ [_242557, _242559, _242561, _242563] : [-(a_select3(tptp_update3(_242563, _242561, _242559, _242557), _242561, _242559) = _242557)], (788 ^ _210767) ^ [_242749, _242751, _242753, _242755, _242757, _242759, _242761] : [-(a_select3(tptp_update3(_242753, _242761, _242759, _242749), _242757, _242755) = _242751), -(_242761 = _242757), _242759 = _242755, a_select3(_242753, _242757, _242755) = _242751], (802 ^ _210767) ^ [_243292, _243294, _243296, _243298, _243300, _243302] : [-(a_select3(tptp_update3(_243294, _243298, _243296, _243292), _243302, _243300) = _243292), 807 ^ _210767 : [(808 ^ _210767) ^ [] : [-(leq(n0, 805 ^ [_243292, _243294, _243296, _243298, _243300, _243302]))], (810 ^ _210767) ^ [] : [-(leq(n0, 806 ^ [_243292, _243294, _243296, _243298, _243300, _243302]))], (812 ^ _210767) ^ [] : [-(leq(805 ^ [_243292, _243294, _243296, _243298, _243300, _243302], _243298))], (814 ^ _210767) ^ [] : [-(leq(806 ^ [_243292, _243294, _243296, _243298, _243300, _243302], _243296))], (816 ^ _210767) ^ [] : [a_select3(_243294, 805 ^ [_243292, _243294, _243296, _243298, _243300, _243302], 806 ^ [_243292, _243294, _243296, _243298, _243300, _243302]) = _243292]], leq(n0, _243302), leq(_243302, _243298), leq(n0, _243300), leq(_243300, _243296)], (834 ^ _210767) ^ [_244634, _244636, _244638] : [-(a_select2(tptp_update2(_244638, _244636, _244634), _244636) = _244634)], (836 ^ _210767) ^ [_244794, _244796, _244798, _244800, _244802] : [-(a_select2(tptp_update2(_244798, _244802, _244794), _244800) = _244796), -(_244802 = _244800), a_select2(_244798, _244800) = _244796], (865 ^ _210767) ^ [] : [-(true)], (867 ^ _210767) ^ [] : [def = use], (846 ^ _210767) ^ [_245174, _245176, _245178, _245180] : [-(a_select2(tptp_update2(_245176, _245178, _245174), _245180) = _245174), 850 ^ _210767 : [(851 ^ _210767) ^ [] : [-(leq(n0, 849 ^ [_245174, _245176, _245178, _245180]))], (853 ^ _210767) ^ [] : [-(leq(849 ^ [_245174, _245176, _245178, _245180], _245178))], (855 ^ _210767) ^ [] : [a_select2(_245176, 849 ^ [_245174, _245176, _245178, _245180]) = _245174]], leq(n0, _245180), leq(_245180, _245178)]], input).
% 0.29/1.36  ncf('1',plain,[n3 = 1076 ^ [], n5 = 1077 ^ []],start(1123 ^ 0)).
% 0.29/1.36  ncf('1.1',plain,[-(n3 = 1076 ^ [])],extension(1165 ^ 1)).
% 0.29/1.36  ncf('1.2',plain,[-(n5 = 1077 ^ [])],extension(1171 ^ 1)).
% 0.29/1.36  %-----------------------------------------------------
% 0.29/1.36  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------