%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 02:40:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(1188 ^ _216724) ^ [] : [-(leq(n0, 1186 ^ []))], (1190 ^ _216724) ^ [] : [-(leq(1186 ^ [], pred(pv57)))], (1193 ^ _216724) ^ [] : [-(leq(n0, 1191 ^ []))], (1195 ^ _216724) ^ [] : [-(leq(1191 ^ [], n5))], (1205 ^ _216724) ^ [] : [a_select3(id_ds1_filter, 1186 ^ [], 1191 ^ []) = a_select3(id_ds1_filter, 1191 ^ [], 1186 ^ [])], (1203 ^ _216724) ^ [] : [pv57 = 1186 ^ []], (1197 ^ _216724) ^ [] : [pv57 = 1191 ^ [], 1191 ^ [] = 1186 ^ []], (1055 ^ _216724) ^ [] : [-(leq(n0, pv5))], (1057 ^ _216724) ^ [] : [-(leq(n0, pv57))], (1059 ^ _216724) ^ [] : [-(leq(pv5, n998))], (1061 ^ _216724) ^ [] : [-(leq(pv57, n5))], (1063 ^ _216724) ^ [] : [-(leq(pv58, n5))], (1065 ^ _216724) ^ [] : [-(gt(pv58, pv57))], (1067 ^ _216724) ^ [_257372, _257374] : [-(a_select3(q_ds1_filter, _257374, _257372) = a_select3(q_ds1_filter, _257372, _257374)), leq(n0, _257374), leq(n0, _257372), leq(_257374, n5), leq(_257372, n5)], (1085 ^ _216724) ^ [_257865, _257867] : [-(a_select3(r_ds1_filter, _257867, _257865) = a_select3(r_ds1_filter, _257865, _257867)), leq(n0, _257867), leq(n0, _257865), leq(_257867, n2), leq(_257865, n2)], (1103 ^ _216724) ^ [_258358, _258360] : [-(a_select3(pminus_ds1_filter, _258360, _258358) = a_select3(pminus_ds1_filter, _258358, _258360)), leq(n0, _258360), leq(n0, _258358), leq(_258360, n5), leq(_258358, n5)], (1121 ^ _216724) ^ [_258851, _258853] : [-(a_select3(id_ds1_filter, _258853, _258851) = a_select3(id_ds1_filter, _258851, _258853)), _258853 = pv57, gt(pv58, _258851), leq(n0, _258853), leq(n0, _258851), leq(_258853, n5), leq(_258851, n5)], (1169 ^ _216724) ^ [_260076] : [leq(n0, _260076), leq(_260076, pred(pv57)), 1176 ^ _216724 : [(1177 ^ _216724) ^ [_260308] : [-(a_select3(id_ds1_filter, _260076, _260308) = a_select3(id_ds1_filter, _260308, _260076)), leq(n0, _260308), leq(_260308, n5)]]], (1147 ^ _216724) ^ [_259526, _259528] : [gt(pv57, _259528), -(a_select3(id_ds1_filter, _259528, _259526) = a_select3(id_ds1_filter, _259526, _259528)), leq(n0, _259528), leq(n0, _259526), leq(_259528, n5), leq(_259526, n5)], (2 ^ _216724) ^ [_216868] : [-(_216868 = _216868)], (4 ^ _216724) ^ [_216975, _216977] : [_216977 = _216975, -(_216975 = _216977)], (10 ^ _216724) ^ [_217179, _217181, _217183] : [-(_217183 = _217179), _217183 = _217181, _217181 = _217179], (20 ^ _216724) ^ [_217520, _217522, _217524, _217526] : [-(lt(_217524, _217520)), lt(_217526, _217522), _217526 = _217524, _217522 = _217520], (34 ^ _216724) ^ [_217964, _217966, _217968, _217970] : [-(geq(_217968, _217964)), geq(_217970, _217966), _217970 = _217968, _217966 = _217964], (48 ^ _216724) ^ [_218408, _218410, _218412, _218414] : [-(gt(_218412, _218408)), gt(_218414, _218410), _218414 = _218412, _218410 = _218408], (62 ^ _216724) ^ [_218832, _218834, _218836, _218838] : [-(leq(_218836, _218832)), leq(_218838, _218834), _218838 = _218836, _218834 = _218832], (76 ^ _216724) ^ [_219288, _219290, _219292, _219294] : [-(uniform_int_rnd(_219294, _219290) = uniform_int_rnd(_219292, _219288)), _219294 = _219292, _219290 = _219288], (86 ^ _216724) ^ [_219647, _219649, _219651, _219653] : [-(tptp_const_array1(_219653, _219649) = tptp_const_array1(_219651, _219647)), _219653 = _219651, _219649 = _219647], (96 ^ _216724) ^ [_220034, _220036, _220038, _220040, _220042, _220044] : [-(tptp_const_array2(_220044, _220040, _220036) = tptp_const_array2(_220042, _220038, _220034)), _220044 = _220042, _220040 = _220038, _220036 = _220034], (110 ^ _216724) ^ [_220522, _220524, _220526, _220528] : [-(dim(_220528, _220524) = dim(_220526, _220522)), _220528 = _220526, _220524 = _220522], (120 ^ _216724) ^ [_220853, _220855] : [_220855 = _220853, -(inv(_220855) = inv(_220853))], (126 ^ _216724) ^ [_221099, _221101, _221103, _221105] : [-(tptp_msub(_221105, _221101) = tptp_msub(_221103, _221099)), _221105 = _221103, _221101 = _221099], (136 ^ _216724) ^ [_221458, _221460, _221462, _221464] : [-(tptp_madd(_221464, _221460) = tptp_madd(_221462, _221458)), _221464 = _221462, _221460 = _221458], (146 ^ _216724) ^ [_221817, _221819, _221821, _221823] : [-(tptp_mmul(_221823, _221819) = tptp_mmul(_221821, _221817)), _221823 = _221821, _221819 = _221817], (156 ^ _216724) ^ [_222148, _222150] : [_222150 = _222148, -(trans(_222150) = trans(_222148))], (162 ^ _216724) ^ [_222422, _222424, _222426, _222428, _222430, _222432] : [-(sum(_222432, _222428, _222424) = sum(_222430, _222426, _222422)), _222432 = _222430, _222428 = _222426, _222424 = _222422], (176 ^ _216724) ^ [_222910, _222912, _222914, _222916] : [-(plus(_222916, _222912) = plus(_222914, _222910)), _222916 = _222914, _222912 = _222910], (186 ^ _216724) ^ [_223269, _223271, _223273, _223275] : [-(minus(_223275, _223271) = minus(_223273, _223269)), _223275 = _223273, _223271 = _223269], (196 ^ _216724) ^ [_223684, _223686, _223688, _223690, _223692, _223694, _223696, _223698] : [-(tptp_update3(_223698, _223694, _223690, _223686) = tptp_update3(_223696, _223692, _223688, _223684)), _223698 = _223696, _223694 = _223692, _223690 = _223688, _223686 = _223684], (214 ^ _216724) ^ [_224317, _224319, _224321, _224323] : [-(a_select2(_224323, _224319) = a_select2(_224321, _224317)), _224323 = _224321, _224319 = _224317], (224 ^ _216724) ^ [_224704, _224706, _224708, _224710, _224712, _224714] : [-(tptp_update2(_224714, _224710, _224706) = tptp_update2(_224712, _224708, _224704)), _224714 = _224712, _224710 = _224708, _224706 = _224704], (238 ^ _216724) ^ [_225164, _225166] : [_225166 = _225164, -(succ(_225166) = succ(_225164))], (244 ^ _216724) ^ [_225382, _225384] : [_225384 = _225382, -(pred(_225384) = pred(_225382))], (250 ^ _216724) ^ [_225636, _225638, _225640, _225642, _225644, _225646] : [-(a_select3(_225646, _225642, _225638) = a_select3(_225644, _225640, _225636)), _225646 = _225644, _225642 = _225640, _225638 = _225636], (869 ^ _216724) ^ [] : [-(gt(n5, n4))], (871 ^ _216724) ^ [] : [-(gt(n998, n4))], (873 ^ _216724) ^ [] : [-(gt(n998, n5))], (875 ^ _216724) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _216724) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _216724) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _216724) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _216724) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _216724) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _216724) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _216724) ^ [] : [-(gt(n4, n0))], (891 ^ _216724) ^ [] : [-(gt(n5, n0))], (893 ^ _216724) ^ [] : [-(gt(n998, n0))], (895 ^ _216724) ^ [] : [-(gt(n1, n0))], (897 ^ _216724) ^ [] : [-(gt(n2, n0))], (899 ^ _216724) ^ [] : [-(gt(n3, n0))], (901 ^ _216724) ^ [] : [-(gt(n4, n1))], (903 ^ _216724) ^ [] : [-(gt(n5, n1))], (905 ^ _216724) ^ [] : [-(gt(n998, n1))], (907 ^ _216724) ^ [] : [-(gt(n2, n1))], (909 ^ _216724) ^ [] : [-(gt(n3, n1))], (911 ^ _216724) ^ [] : [-(gt(n4, n2))], (913 ^ _216724) ^ [] : [-(gt(n5, n2))], (915 ^ _216724) ^ [] : [-(gt(n998, n2))], (917 ^ _216724) ^ [] : [-(gt(n3, n2))], (919 ^ _216724) ^ [] : [-(gt(n4, n3))], (921 ^ _216724) ^ [] : [-(gt(n5, n3))], (923 ^ _216724) ^ [] : [-(gt(n998, n3))], (925 ^ _216724) ^ [_253605] : [leq(n0, _253605), leq(_253605, n4), -(_253605 = n0), -(_253605 = n1), -(_253605 = n2), -(_253605 = n3), -(_253605 = n4)], (951 ^ _216724) ^ [_254226] : [leq(n0, _254226), leq(_254226, n5), -(_254226 = n0), -(_254226 = n1), -(_254226 = n2), -(_254226 = n3), -(_254226 = n4), -(_254226 = n5)], (981 ^ _216724) ^ [_254933] : [-(_254933 = n0), leq(n0, _254933), leq(_254933, n0)], (991 ^ _216724) ^ [_255208] : [leq(n0, _255208), leq(_255208, n1), -(_255208 = n0), -(_255208 = n1)], (1005 ^ _216724) ^ [_255571] : [leq(n0, _255571), leq(_255571, n2), -(_255571 = n0), -(_255571 = n1), -(_255571 = n2)], (1045 ^ _216724) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _216724) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _216724) ^ [] : [-(succ(n0) = n1)], (1051 ^ _216724) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _216724) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _216724) ^ [_256020] : [leq(n0, _256020), leq(_256020, n3), -(_256020 = n0), -(_256020 = n1), -(_256020 = n2), -(_256020 = n3)], (264 ^ _216724) ^ [_226196, _226198] : [-(gt(_226198, _226196)), -(gt(_226196, _226198)), -(_226198 = _226196)], (274 ^ _216724) ^ [_226511, _226513, _226515] : [-(gt(_226515, _226511)), gt(_226515, _226513), gt(_226513, _226511)], (284 ^ _216724) ^ [_226790] : [gt(_226790, _226790)], (286 ^ _216724) ^ [_226868] : [-(leq(_226868, _226868))], (288 ^ _216724) ^ [_226989, _226991, _226993] : [-(leq(_226993, _226989)), leq(_226993, _226991), leq(_226991, _226989)], (298 ^ _216724) ^ [_227327, _227329] : [lt(_227329, _227327), -(gt(_227327, _227329))], (304 ^ _216724) ^ [_227489, _227491] : [gt(_227489, _227491), -(lt(_227491, _227489))], (310 ^ _216724) ^ [_227730, _227732] : [geq(_227732, _227730), -(leq(_227730, _227732))], (316 ^ _216724) ^ [_227892, _227894] : [leq(_227892, _227894), -(geq(_227894, _227892))], (322 ^ _216724) ^ [_228104, _228106] : [gt(_228104, _228106), -(leq(_228106, _228104))], (328 ^ _216724) ^ [_228314, _228316] : [-(gt(_228314, _228316)), leq(_228316, _228314), -(_228316 = _228314)], (338 ^ _216724) ^ [_228645, _228647] : [leq(_228647, pred(_228645)), -(gt(_228645, _228647))], (344 ^ _216724) ^ [_228811, _228813] : [gt(_228811, _228813), -(leq(_228813, pred(_228811)))], (350 ^ _216724) ^ [_228998] : [-(gt(succ(_228998), _228998))], (352 ^ _216724) ^ [_229107, _229109] : [leq(_229109, _229107), -(leq(_229109, succ(_229107)))], (358 ^ _216724) ^ [_229350, _229352] : [leq(_229352, _229350), -(gt(succ(_229350), _229352))], (364 ^ _216724) ^ [_229516, _229518] : [gt(succ(_229516), _229518), -(leq(_229518, _229516))], (370 ^ _216724) ^ [_229732, _229734] : [leq(n0, _229734), -(leq(uniform_int_rnd(_229732, _229734), _229734))], (376 ^ _216724) ^ [_229948, _229950] : [leq(n0, _229950), -(leq(n0, uniform_int_rnd(_229948, _229950)))], (382 ^ _216724) ^ [_230192, _230194, _230196, _230198] : [-(a_select2(tptp_const_array1(dim(_230196, _230194), _230192), _230198) = _230192), leq(_230196, _230198), leq(_230198, _230194)], (392 ^ _216724) ^ [_230599, _230601, _230603, _230605, _230607, _230609, _230611] : [-(a_select3(tptp_const_array2(dim(_230609, _230607), dim(_230603, _230601), _230599), _230611, _230605) = _230599), leq(_230609, _230611), leq(_230611, _230607), leq(_230603, _230605), leq(_230605, _230601)], (410 ^ _216724) ^ [_231194, _231196] : [413 ^ _216724 : [(414 ^ _216724) ^ [] : [-(leq(n0, 411 ^ [_231194, _231196]))], (416 ^ _216724) ^ [] : [-(leq(411 ^ [_231194, _231196], _231194))], (418 ^ _216724) ^ [] : [-(leq(n0, 412 ^ [_231194, _231196]))], (420 ^ _216724) ^ [] : [-(leq(412 ^ [_231194, _231196], _231194))], (422 ^ _216724) ^ [] : [a_select3(_231196, 411 ^ [_231194, _231196], 412 ^ [_231194, _231196]) = a_select3(_231196, 412 ^ [_231194, _231196], 411 ^ [_231194, _231196])]], 423 ^ _216724 : [(424 ^ _216724) ^ [_231951, _231953] : [-(a_select3(trans(_231196), _231953, _231951) = a_select3(trans(_231196), _231951, _231953)), leq(n0, _231953), leq(_231953, _231194), leq(n0, _231951), leq(_231951, _231194)]]], (442 ^ _216724) ^ [_232498, _232500] : [445 ^ _216724 : [(446 ^ _216724) ^ [] : [-(leq(n0, 443 ^ [_232498, _232500]))], (448 ^ _216724) ^ [] : [-(leq(443 ^ [_232498, _232500], _232498))], (450 ^ _216724) ^ [] : [-(leq(n0, 444 ^ [_232498, _232500]))], (452 ^ _216724) ^ [] : [-(leq(444 ^ [_232498, _232500], _232498))], (454 ^ _216724) ^ [] : [a_select3(_232500, 443 ^ [_232498, _232500], 444 ^ [_232498, _232500]) = a_select3(_232500, 444 ^ [_232498, _232500], 443 ^ [_232498, _232500])]], 455 ^ _216724 : [(456 ^ _216724) ^ [_233255, _233257] : [-(a_select3(inv(_232500), _233257, _233255) = a_select3(inv(_232500), _233255, _233257)), leq(n0, _233257), leq(_233257, _232498), leq(n0, _233255), leq(_233255, _232498)]]], (474 ^ _216724) ^ [_233802, _233804] : [477 ^ _216724 : [(478 ^ _216724) ^ [] : [-(leq(n0, 475 ^ [_233802, _233804]))], (480 ^ _216724) ^ [] : [-(leq(475 ^ [_233802, _233804], _233802))], (482 ^ _216724) ^ [] : [-(leq(n0, 476 ^ [_233802, _233804]))], (484 ^ _216724) ^ [] : [-(leq(476 ^ [_233802, _233804], _233802))], (486 ^ _216724) ^ [] : [a_select3(_233804, 475 ^ [_233802, _233804], 476 ^ [_233802, _233804]) = a_select3(_233804, 476 ^ [_233802, _233804], 475 ^ [_233802, _233804])]], 487 ^ _216724 : [(488 ^ _216724) ^ [_234615, _234617, _234619, _234621] : [-(a_select3(tptp_update3(_233804, _234617, _234617, _234615), _234621, _234619) = a_select3(tptp_update3(_233804, _234617, _234617, _234615), _234619, _234621)), leq(n0, _234621), leq(_234621, _233802), leq(n0, _234619), leq(_234619, _233802), leq(n0, _234617), leq(_234617, _233802)]]], (514 ^ _216724) ^ [_235434, _235436, _235438] : [519 ^ _216724 : [(520 ^ _216724) ^ [] : [-(leq(n0, 517 ^ [_235434, _235436, _235438]))], (522 ^ _216724) ^ [] : [-(leq(517 ^ [_235434, _235436, _235438], _235434))], (524 ^ _216724) ^ [] : [-(leq(n0, 518 ^ [_235434, _235436, _235438]))], (526 ^ _216724) ^ [] : [-(leq(518 ^ [_235434, _235436, _235438], _235434))], (528 ^ _216724) ^ [] : [a_select3(_235438, 517 ^ [_235434, _235436, _235438], 518 ^ [_235434, _235436, _235438]) = a_select3(_235438, 518 ^ [_235434, _235436, _235438], 517 ^ [_235434, _235436, _235438])]], 531 ^ _216724 : [(532 ^ _216724) ^ [] : [-(leq(n0, 529 ^ [_235434, _235436, _235438]))], (534 ^ _216724) ^ [] : [-(leq(529 ^ [_235434, _235436, _235438], _235434))], (536 ^ _216724) ^ [] : [-(leq(n0, 530 ^ [_235434, _235436, _235438]))], (538 ^ _216724) ^ [] : [-(leq(530 ^ [_235434, _235436, _235438], _235434))], (540 ^ _216724) ^ [] : [a_select3(_235436, 529 ^ [_235434, _235436, _235438], 530 ^ [_235434, _235436, _235438]) = a_select3(_235436, 530 ^ [_235434, _235436, _235438], 529 ^ [_235434, _235436, _235438])]], 541 ^ _216724 : [(542 ^ _216724) ^ [_236943, _236945] : [-(a_select3(tptp_madd(_235438, _235436), _236945, _236943) = a_select3(tptp_madd(_235438, _235436), _236943, _236945)), leq(n0, _236945), leq(_236945, _235434), leq(n0, _236943), leq(_236943, _235434)]]], (560 ^ _216724) ^ [_237529, _237531, _237533] : [565 ^ _216724 : [(566 ^ _216724) ^ [] : [-(leq(n0, 563 ^ [_237529, _237531, _237533]))], (568 ^ _216724) ^ [] : [-(leq(563 ^ [_237529, _237531, _237533], _237529))], (570 ^ _216724) ^ [] : [-(leq(n0, 564 ^ [_237529, _237531, _237533]))], (572 ^ _216724) ^ [] : [-(leq(564 ^ [_237529, _237531, _237533], _237529))], (574 ^ _216724) ^ [] : [a_select3(_237533, 563 ^ [_237529, _237531, _237533], 564 ^ [_237529, _237531, _237533]) = a_select3(_237533, 564 ^ [_237529, _237531, _237533], 563 ^ [_237529, _237531, _237533])]], 577 ^ _216724 : [(578 ^ _216724) ^ [] : [-(leq(n0, 575 ^ [_237529, _237531, _237533]))], (580 ^ _216724) ^ [] : [-(leq(575 ^ [_237529, _237531, _237533], _237529))], (582 ^ _216724) ^ [] : [-(leq(n0, 576 ^ [_237529, _237531, _237533]))], (584 ^ _216724) ^ [] : [-(leq(576 ^ [_237529, _237531, _237533], _237529))], (586 ^ _216724) ^ [] : [a_select3(_237531, 575 ^ [_237529, _237531, _237533], 576 ^ [_237529, _237531, _237533]) = a_select3(_237531, 576 ^ [_237529, _237531, _237533], 575 ^ [_237529, _237531, _237533])]], 587 ^ _216724 : [(588 ^ _216724) ^ [_239038, _239040] : [-(a_select3(tptp_msub(_237533, _237531), _239040, _239038) = a_select3(tptp_msub(_237533, _237531), _239038, _239040)), leq(n0, _239040), leq(_239040, _237529), leq(n0, _239038), leq(_239038, _237529)]]], (606 ^ _216724) ^ [_239624, _239626, _239628] : [609 ^ _216724 : [(610 ^ _216724) ^ [] : [-(leq(n0, 607 ^ [_239624, _239626, _239628]))], (612 ^ _216724) ^ [] : [-(leq(607 ^ [_239624, _239626, _239628], _239624))], (614 ^ _216724) ^ [] : [-(leq(n0, 608 ^ [_239624, _239626, _239628]))], (616 ^ _216724) ^ [] : [-(leq(608 ^ [_239624, _239626, _239628], _239624))], (618 ^ _216724) ^ [] : [a_select3(_239626, 607 ^ [_239624, _239626, _239628], 608 ^ [_239624, _239626, _239628]) = a_select3(_239626, 608 ^ [_239624, _239626, _239628], 607 ^ [_239624, _239626, _239628])]], 619 ^ _216724 : [(620 ^ _216724) ^ [_240437, _240439] : [-(a_select3(tptp_mmul(_239628, tptp_mmul(_239626, trans(_239628))), _240439, _240437) = a_select3(tptp_mmul(_239628, tptp_mmul(_239626, trans(_239628))), _240437, _240439)), leq(n0, _240439), leq(_240439, _239624), leq(n0, _240437), leq(_240437, _239624)]]], (638 ^ _216724) ^ [_241056, _241058, _241060, _241062] : [641 ^ _216724 : [(642 ^ _216724) ^ [] : [-(leq(n0, 639 ^ [_241056, _241058, _241060, _241062]))], (644 ^ _216724) ^ [] : [-(leq(639 ^ [_241056, _241058, _241060, _241062], _241056))], (646 ^ _216724) ^ [] : [-(leq(n0, 640 ^ [_241056, _241058, _241060, _241062]))], (648 ^ _216724) ^ [] : [-(leq(640 ^ [_241056, _241058, _241060, _241062], _241056))], (650 ^ _216724) ^ [] : [a_select3(_241060, 639 ^ [_241056, _241058, _241060, _241062], 640 ^ [_241056, _241058, _241060, _241062]) = a_select3(_241060, 640 ^ [_241056, _241058, _241060, _241062], 639 ^ [_241056, _241058, _241060, _241062])]], 651 ^ _216724 : [(652 ^ _216724) ^ [_241913, _241915] : [-(a_select3(tptp_mmul(_241062, tptp_mmul(_241060, trans(_241062))), _241915, _241913) = a_select3(tptp_mmul(_241062, tptp_mmul(_241060, trans(_241062))), _241913, _241915)), leq(n0, _241915), leq(_241915, _241058), leq(n0, _241913), leq(_241913, _241058)]]], (670 ^ _216724) ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622] : [675 ^ _216724 : [(676 ^ _216724) ^ [] : [-(leq(n0, 673 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (678 ^ _216724) ^ [] : [-(leq(673 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242608))], (680 ^ _216724) ^ [] : [-(leq(n0, 674 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (682 ^ _216724) ^ [] : [-(leq(674 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242608))], (684 ^ _216724) ^ [] : [a_select3(_242616, 673 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 674 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]) = a_select3(_242616, 674 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 673 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622])]], 689 ^ _216724 : [(690 ^ _216724) ^ [] : [-(leq(n0, 687 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (692 ^ _216724) ^ [] : [-(leq(687 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242610))], (694 ^ _216724) ^ [] : [-(leq(n0, 688 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (696 ^ _216724) ^ [] : [-(leq(688 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242610))], (698 ^ _216724) ^ [] : [a_select3(_242622, 687 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 688 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]) = a_select3(_242622, 688 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 687 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622])]], 701 ^ _216724 : [(702 ^ _216724) ^ [] : [-(leq(n0, 699 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (704 ^ _216724) ^ [] : [-(leq(699 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242610))], (706 ^ _216724) ^ [] : [-(leq(n0, 700 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]))], (708 ^ _216724) ^ [] : [-(leq(700 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], _242610))], (710 ^ _216724) ^ [] : [a_select3(_242612, 699 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 700 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622]) = a_select3(_242612, 700 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622], 699 ^ [_242608, _242610, _242612, _242614, _242616, _242618, _242620, _242622])]], 711 ^ _216724 : [(712 ^ _216724) ^ [_245536, _245538] : [-(a_select3(tptp_madd(_242622, tptp_mmul(_242620, tptp_mmul(tptp_madd(tptp_mmul(_242618, tptp_mmul(_242616, trans(_242618))), tptp_mmul(_242614, tptp_mmul(_242612, trans(_242614)))), trans(_242620)))), _245538, _245536) = a_select3(tptp_madd(_242622, tptp_mmul(_242620, tptp_mmul(tptp_madd(tptp_mmul(_242618, tptp_mmul(_242616, trans(_242618))), tptp_mmul(_242614, tptp_mmul(_242612, trans(_242614)))), trans(_242620)))), _245536, _245538)), leq(n0, _245538), leq(_245538, _242610), leq(n0, _245536), leq(_245536, _242610)]]], (730 ^ _216724) ^ [_246289] : [-(sum(n0, tptp_minus_1, _246289) = n0)], (732 ^ _216724) ^ [_246371] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246371))], (734 ^ _216724) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _216724) ^ [_246506] : [-(plus(_246506, n1) = succ(_246506))], (738 ^ _216724) ^ [_246589] : [-(plus(n1, _246589) = succ(_246589))], (740 ^ _216724) ^ [_246672] : [-(plus(_246672, n2) = succ(succ(_246672)))], (742 ^ _216724) ^ [_246757] : [-(plus(n2, _246757) = succ(succ(_246757)))], (744 ^ _216724) ^ [_246842] : [-(plus(_246842, n3) = succ(succ(succ(_246842))))], (746 ^ _216724) ^ [_246929] : [-(plus(n3, _246929) = succ(succ(succ(_246929))))], (748 ^ _216724) ^ [_247016] : [-(plus(_247016, n4) = succ(succ(succ(succ(_247016)))))], (750 ^ _216724) ^ [_247105] : [-(plus(n4, _247105) = succ(succ(succ(succ(_247105)))))], (752 ^ _216724) ^ [_247194] : [-(plus(_247194, n5) = succ(succ(succ(succ(succ(_247194))))))], (754 ^ _216724) ^ [_247285] : [-(plus(n5, _247285) = succ(succ(succ(succ(succ(_247285))))))], (756 ^ _216724) ^ [_247376] : [-(minus(_247376, n1) = pred(_247376))], (758 ^ _216724) ^ [_247459] : [-(pred(succ(_247459)) = _247459)], (760 ^ _216724) ^ [_247541] : [-(succ(pred(_247541)) = _247541)], (762 ^ _216724) ^ [_247681, _247683] : [leq(succ(_247683), succ(_247681)), -(leq(_247683, _247681))], (768 ^ _216724) ^ [_247851, _247853] : [leq(_247853, _247851), -(leq(succ(_247853), succ(_247851)))], (774 ^ _216724) ^ [_248071, _248073] : [leq(succ(_248073), _248071), -(gt(_248071, _248073))], (780 ^ _216724) ^ [_248285, _248287] : [leq(minus(_248287, _248285), _248287), -(leq(n0, _248285))], (786 ^ _216724) ^ [_248514, _248516, _248518, _248520] : [-(a_select3(tptp_update3(_248520, _248518, _248516, _248514), _248518, _248516) = _248514)], (788 ^ _216724) ^ [_248706, _248708, _248710, _248712, _248714, _248716, _248718] : [-(a_select3(tptp_update3(_248710, _248718, _248716, _248706), _248714, _248712) = _248708), -(_248718 = _248714), _248716 = _248712, a_select3(_248710, _248714, _248712) = _248708], (802 ^ _216724) ^ [_249249, _249251, _249253, _249255, _249257, _249259] : [-(a_select3(tptp_update3(_249251, _249255, _249253, _249249), _249259, _249257) = _249249), 807 ^ _216724 : [(808 ^ _216724) ^ [] : [-(leq(n0, 805 ^ [_249249, _249251, _249253, _249255, _249257, _249259]))], (810 ^ _216724) ^ [] : [-(leq(n0, 806 ^ [_249249, _249251, _249253, _249255, _249257, _249259]))], (812 ^ _216724) ^ [] : [-(leq(805 ^ [_249249, _249251, _249253, _249255, _249257, _249259], _249255))], (814 ^ _216724) ^ [] : [-(leq(806 ^ [_249249, _249251, _249253, _249255, _249257, _249259], _249253))], (816 ^ _216724) ^ [] : [a_select3(_249251, 805 ^ [_249249, _249251, _249253, _249255, _249257, _249259], 806 ^ [_249249, _249251, _249253, _249255, _249257, _249259]) = _249249]], leq(n0, _249259), leq(_249259, _249255), leq(n0, _249257), leq(_249257, _249253)], (834 ^ _216724) ^ [_250591, _250593, _250595] : [-(a_select2(tptp_update2(_250595, _250593, _250591), _250593) = _250591)], (836 ^ _216724) ^ [_250751, _250753, _250755, _250757, _250759] : [-(a_select2(tptp_update2(_250755, _250759, _250751), _250757) = _250753), -(_250759 = _250757), a_select2(_250755, _250757) = _250753], (865 ^ _216724) ^ [] : [-(true)], (867 ^ _216724) ^ [] : [def = use], (846 ^ _216724) ^ [_251131, _251133, _251135, _251137] : [-(a_select2(tptp_update2(_251133, _251135, _251131), _251137) = _251131), 850 ^ _216724 : [(851 ^ _216724) ^ [] : [-(leq(n0, 849 ^ [_251131, _251133, _251135, _251137]))], (853 ^ _216724) ^ [] : [-(leq(849 ^ [_251131, _251133, _251135, _251137], _251135))], (855 ^ _216724) ^ [] : [a_select2(_251133, 849 ^ [_251131, _251133, _251135, _251137]) = _251131]], leq(n0, _251137), leq(_251137, _251135)]], input).
% 0.36/1.37  ncf('1',plain,[a_select3(id_ds1_filter, 1186 ^ [], 1191 ^ []) = a_select3(id_ds1_filter, 1191 ^ [], 1186 ^ [])],start(1205 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(a_select3(id_ds1_filter, 1186 ^ [], 1191 ^ []) = a_select3(id_ds1_filter, 1191 ^ [], 1186 ^ [])), 1177 : leq(n0, 1191 ^ []), 1177 : leq(1191 ^ [], n5), 1177 : leq(n0, 1186 ^ []), 1177 : leq(1186 ^ [], pred(pv57))],extension(1169 ^ 1,bind([[_260076, _260308], [1186 ^ [], 1191 ^ []]]))).
% 0.36/1.37  ncf('1.1.1',plain,[-(leq(n0, 1191 ^ []))],extension(1193 ^ 4)).
% 0.36/1.37  ncf('1.1.2',plain,[-(leq(1191 ^ [], n5))],extension(1195 ^ 4)).
% 0.36/1.37  ncf('1.1.3',plain,[-(leq(n0, 1186 ^ []))],extension(1188 ^ 2)).
% 0.36/1.37  ncf('1.1.4',plain,[-(leq(1186 ^ [], pred(pv57)))],extension(1190 ^ 2)).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------