%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 12:20:04 EDT 2023

% Result   : Theorem 0.39s 1.39s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV155+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 02:42:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.39/1.39  
% 0.39/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.39  %-----------------------------------------------------
% 0.39/1.39  ncf(matrix, plain, [(1112 ^ _210004) ^ [] : [-(leq(n0, 1110 ^ []))], (1114 ^ _210004) ^ [] : [-(leq(1110 ^ [], pred(pv10)))], (1116 ^ _210004) ^ [] : [pv10 = 1110 ^ []], (1118 ^ _210004) ^ [] : [sum(n0, n4, a_select3(q, 1110 ^ [], tptp_sum_index)) = n1], (1081 ^ _210004) ^ [] : [-(pv70 = sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))], (1083 ^ _210004) ^ [] : [-(leq(n0, pv10))], (1085 ^ _210004) ^ [] : [-(leq(n0, pv12))], (1087 ^ _210004) ^ [] : [-(leq(pv10, n135299))], (1089 ^ _210004) ^ [] : [-(leq(pv12, n4))], (1091 ^ _210004) ^ [_251541] : [-(a_select3(q, pv10, _251541) = divide(sqrt(times(minus(a_select3(center, _251541, n0), a_select2(x, pv10)), minus(a_select3(center, _251541, n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))), leq(n0, _251541), leq(_251541, pred(pv12))], (1101 ^ _210004) ^ [_251848] : [-(sum(n0, n4, a_select3(q, _251848, tptp_sum_index)) = n1), leq(n0, _251848), leq(_251848, pred(pv10))], (2 ^ _210004) ^ [_210148] : [-(_210148 = _210148)], (4 ^ _210004) ^ [_210255, _210257] : [_210257 = _210255, -(_210255 = _210257)], (10 ^ _210004) ^ [_210459, _210461, _210463] : [-(_210463 = _210459), _210463 = _210461, _210461 = _210459], (20 ^ _210004) ^ [_210800, _210802, _210804, _210806] : [-(lt(_210804, _210800)), lt(_210806, _210802), _210806 = _210804, _210802 = _210800], (34 ^ _210004) ^ [_211244, _211246, _211248, _211250] : [-(geq(_211248, _211244)), geq(_211250, _211246), _211250 = _211248, _211246 = _211244], (48 ^ _210004) ^ [_211688, _211690, _211692, _211694] : [-(gt(_211692, _211688)), gt(_211694, _211690), _211694 = _211692, _211690 = _211688], (62 ^ _210004) ^ [_212112, _212114, _212116, _212118] : [-(leq(_212116, _212112)), leq(_212118, _212114), _212118 = _212116, _212114 = _212112], (76 ^ _210004) ^ [_212568, _212570, _212572, _212574] : [-(uniform_int_rnd(_212574, _212570) = uniform_int_rnd(_212572, _212568)), _212574 = _212572, _212570 = _212568], (86 ^ _210004) ^ [_212927, _212929, _212931, _212933] : [-(tptp_const_array1(_212933, _212929) = tptp_const_array1(_212931, _212927)), _212933 = _212931, _212929 = _212927], (96 ^ _210004) ^ [_213314, _213316, _213318, _213320, _213322, _213324] : [-(tptp_const_array2(_213324, _213320, _213316) = tptp_const_array2(_213322, _213318, _213314)), _213324 = _213322, _213320 = _213318, _213316 = _213314], (110 ^ _210004) ^ [_213802, _213804, _213806, _213808] : [-(dim(_213808, _213804) = dim(_213806, _213802)), _213808 = _213806, _213804 = _213802], (120 ^ _210004) ^ [_214133, _214135] : [_214135 = _214133, -(inv(_214135) = inv(_214133))], (126 ^ _210004) ^ [_214379, _214381, _214383, _214385] : [-(tptp_msub(_214385, _214381) = tptp_msub(_214383, _214379)), _214385 = _214383, _214381 = _214379], (136 ^ _210004) ^ [_214738, _214740, _214742, _214744] : [-(tptp_madd(_214744, _214740) = tptp_madd(_214742, _214738)), _214744 = _214742, _214740 = _214738], (146 ^ _210004) ^ [_215097, _215099, _215101, _215103] : [-(tptp_mmul(_215103, _215099) = tptp_mmul(_215101, _215097)), _215103 = _215101, _215099 = _215097], (156 ^ _210004) ^ [_215428, _215430] : [_215430 = _215428, -(trans(_215430) = trans(_215428))], (162 ^ _210004) ^ [_215674, _215676, _215678, _215680] : [-(plus(_215680, _215676) = plus(_215678, _215674)), _215680 = _215678, _215676 = _215674], (172 ^ _210004) ^ [_216089, _216091, _216093, _216095, _216097, _216099, _216101, _216103] : [-(tptp_update3(_216103, _216099, _216095, _216091) = tptp_update3(_216101, _216097, _216093, _216089)), _216103 = _216101, _216099 = _216097, _216095 = _216093, _216091 = _216089], (190 ^ _210004) ^ [_216750, _216752, _216754, _216756, _216758, _216760] : [-(tptp_update2(_216760, _216756, _216752) = tptp_update2(_216758, _216754, _216750)), _216760 = _216758, _216756 = _216754, _216752 = _216750], (204 ^ _210004) ^ [_217210, _217212] : [_217212 = _217210, -(succ(_217212) = succ(_217210))], (210 ^ _210004) ^ [_217456, _217458, _217460, _217462] : [-(divide(_217462, _217458) = divide(_217460, _217456)), _217462 = _217460, _217458 = _217456], (220 ^ _210004) ^ [_217787, _217789] : [_217789 = _217787, -(sqrt(_217789) = sqrt(_217787))], (226 ^ _210004) ^ [_218033, _218035, _218037, _218039] : [-(times(_218039, _218035) = times(_218037, _218033)), _218039 = _218037, _218035 = _218033], (236 ^ _210004) ^ [_218392, _218394, _218396, _218398] : [-(minus(_218398, _218394) = minus(_218396, _218392)), _218398 = _218396, _218394 = _218392], (246 ^ _210004) ^ [_218751, _218753, _218755, _218757] : [-(a_select2(_218757, _218753) = a_select2(_218755, _218751)), _218757 = _218755, _218753 = _218751], (256 ^ _210004) ^ [_219082, _219084] : [_219084 = _219082, -(pred(_219084) = pred(_219082))], (262 ^ _210004) ^ [_219356, _219358, _219360, _219362, _219364, _219366] : [-(sum(_219366, _219362, _219358) = sum(_219364, _219360, _219356)), _219366 = _219364, _219362 = _219360, _219358 = _219356], (276 ^ _210004) ^ [_219852, _219854, _219856, _219858, _219860, _219862] : [-(a_select3(_219862, _219858, _219854) = a_select3(_219860, _219856, _219852)), _219862 = _219860, _219858 = _219856, _219854 = _219852], (895 ^ _210004) ^ [] : [-(gt(n5, n4))], (897 ^ _210004) ^ [] : [-(gt(n135299, n4))], (899 ^ _210004) ^ [] : [-(gt(n135299, n5))], (901 ^ _210004) ^ [] : [-(gt(n4, tptp_minus_1))], (903 ^ _210004) ^ [] : [-(gt(n5, tptp_minus_1))], (905 ^ _210004) ^ [] : [-(gt(n135299, tptp_minus_1))], (907 ^ _210004) ^ [] : [-(gt(n0, tptp_minus_1))], (909 ^ _210004) ^ [] : [-(gt(n1, tptp_minus_1))], (911 ^ _210004) ^ [] : [-(gt(n2, tptp_minus_1))], (913 ^ _210004) ^ [] : [-(gt(n3, tptp_minus_1))], (915 ^ _210004) ^ [] : [-(gt(n4, n0))], (917 ^ _210004) ^ [] : [-(gt(n5, n0))], (919 ^ _210004) ^ [] : [-(gt(n135299, n0))], (921 ^ _210004) ^ [] : [-(gt(n1, n0))], (923 ^ _210004) ^ [] : [-(gt(n2, n0))], (925 ^ _210004) ^ [] : [-(gt(n3, n0))], (927 ^ _210004) ^ [] : [-(gt(n4, n1))], (929 ^ _210004) ^ [] : [-(gt(n5, n1))], (931 ^ _210004) ^ [] : [-(gt(n135299, n1))], (933 ^ _210004) ^ [] : [-(gt(n2, n1))], (935 ^ _210004) ^ [] : [-(gt(n3, n1))], (937 ^ _210004) ^ [] : [-(gt(n4, n2))], (939 ^ _210004) ^ [] : [-(gt(n5, n2))], (941 ^ _210004) ^ [] : [-(gt(n135299, n2))], (943 ^ _210004) ^ [] : [-(gt(n3, n2))], (945 ^ _210004) ^ [] : [-(gt(n4, n3))], (947 ^ _210004) ^ [] : [-(gt(n5, n3))], (949 ^ _210004) ^ [] : [-(gt(n135299, n3))], (951 ^ _210004) ^ [_247835] : [leq(n0, _247835), leq(_247835, n4), -(_247835 = n0), -(_247835 = n1), -(_247835 = n2), -(_247835 = n3), -(_247835 = n4)], (977 ^ _210004) ^ [_248456] : [leq(n0, _248456), leq(_248456, n5), -(_248456 = n0), -(_248456 = n1), -(_248456 = n2), -(_248456 = n3), -(_248456 = n4), -(_248456 = n5)], (1007 ^ _210004) ^ [_249163] : [-(_249163 = n0), leq(n0, _249163), leq(_249163, n0)], (1017 ^ _210004) ^ [_249438] : [leq(n0, _249438), leq(_249438, n1), -(_249438 = n0), -(_249438 = n1)], (1031 ^ _210004) ^ [_249801] : [leq(n0, _249801), leq(_249801, n2), -(_249801 = n0), -(_249801 = n1), -(_249801 = n2)], (1071 ^ _210004) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1073 ^ _210004) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1075 ^ _210004) ^ [] : [-(succ(n0) = n1)], (1077 ^ _210004) ^ [] : [-(succ(succ(n0)) = n2)], (1079 ^ _210004) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1049 ^ _210004) ^ [_250250] : [leq(n0, _250250), leq(_250250, n3), -(_250250 = n0), -(_250250 = n1), -(_250250 = n2), -(_250250 = n3)], (290 ^ _210004) ^ [_220426, _220428] : [-(gt(_220428, _220426)), -(gt(_220426, _220428)), -(_220428 = _220426)], (300 ^ _210004) ^ [_220741, _220743, _220745] : [-(gt(_220745, _220741)), gt(_220745, _220743), gt(_220743, _220741)], (310 ^ _210004) ^ [_221020] : [gt(_221020, _221020)], (312 ^ _210004) ^ [_221098] : [-(leq(_221098, _221098))], (314 ^ _210004) ^ [_221219, _221221, _221223] : [-(leq(_221223, _221219)), leq(_221223, _221221), leq(_221221, _221219)], (324 ^ _210004) ^ [_221557, _221559] : [lt(_221559, _221557), -(gt(_221557, _221559))], (330 ^ _210004) ^ [_221719, _221721] : [gt(_221719, _221721), -(lt(_221721, _221719))], (336 ^ _210004) ^ [_221960, _221962] : [geq(_221962, _221960), -(leq(_221960, _221962))], (342 ^ _210004) ^ [_222122, _222124] : [leq(_222122, _222124), -(geq(_222124, _222122))], (348 ^ _210004) ^ [_222334, _222336] : [gt(_222334, _222336), -(leq(_222336, _222334))], (354 ^ _210004) ^ [_222544, _222546] : [-(gt(_222544, _222546)), leq(_222546, _222544), -(_222546 = _222544)], (364 ^ _210004) ^ [_222875, _222877] : [leq(_222877, pred(_222875)), -(gt(_222875, _222877))], (370 ^ _210004) ^ [_223041, _223043] : [gt(_223041, _223043), -(leq(_223043, pred(_223041)))], (376 ^ _210004) ^ [_223228] : [-(gt(succ(_223228), _223228))], (378 ^ _210004) ^ [_223337, _223339] : [leq(_223339, _223337), -(leq(_223339, succ(_223337)))], (384 ^ _210004) ^ [_223580, _223582] : [leq(_223582, _223580), -(gt(succ(_223580), _223582))], (390 ^ _210004) ^ [_223746, _223748] : [gt(succ(_223746), _223748), -(leq(_223748, _223746))], (396 ^ _210004) ^ [_223962, _223964] : [leq(n0, _223964), -(leq(uniform_int_rnd(_223962, _223964), _223964))], (402 ^ _210004) ^ [_224178, _224180] : [leq(n0, _224180), -(leq(n0, uniform_int_rnd(_224178, _224180)))], (408 ^ _210004) ^ [_224422, _224424, _224426, _224428] : [-(a_select2(tptp_const_array1(dim(_224426, _224424), _224422), _224428) = _224422), leq(_224426, _224428), leq(_224428, _224424)], (418 ^ _210004) ^ [_224829, _224831, _224833, _224835, _224837, _224839, _224841] : [-(a_select3(tptp_const_array2(dim(_224839, _224837), dim(_224833, _224831), _224829), _224841, _224835) = _224829), leq(_224839, _224841), leq(_224841, _224837), leq(_224833, _224835), leq(_224835, _224831)], (436 ^ _210004) ^ [_225424, _225426] : [439 ^ _210004 : [(440 ^ _210004) ^ [] : [-(leq(n0, 437 ^ [_225424, _225426]))], (442 ^ _210004) ^ [] : [-(leq(437 ^ [_225424, _225426], _225424))], (444 ^ _210004) ^ [] : [-(leq(n0, 438 ^ [_225424, _225426]))], (446 ^ _210004) ^ [] : [-(leq(438 ^ [_225424, _225426], _225424))], (448 ^ _210004) ^ [] : [a_select3(_225426, 437 ^ [_225424, _225426], 438 ^ [_225424, _225426]) = a_select3(_225426, 438 ^ [_225424, _225426], 437 ^ [_225424, _225426])]], 449 ^ _210004 : [(450 ^ _210004) ^ [_226181, _226183] : [-(a_select3(trans(_225426), _226183, _226181) = a_select3(trans(_225426), _226181, _226183)), leq(n0, _226183), leq(_226183, _225424), leq(n0, _226181), leq(_226181, _225424)]]], (468 ^ _210004) ^ [_226728, _226730] : [471 ^ _210004 : [(472 ^ _210004) ^ [] : [-(leq(n0, 469 ^ [_226728, _226730]))], (474 ^ _210004) ^ [] : [-(leq(469 ^ [_226728, _226730], _226728))], (476 ^ _210004) ^ [] : [-(leq(n0, 470 ^ [_226728, _226730]))], (478 ^ _210004) ^ [] : [-(leq(470 ^ [_226728, _226730], _226728))], (480 ^ _210004) ^ [] : [a_select3(_226730, 469 ^ [_226728, _226730], 470 ^ [_226728, _226730]) = a_select3(_226730, 470 ^ [_226728, _226730], 469 ^ [_226728, _226730])]], 481 ^ _210004 : [(482 ^ _210004) ^ [_227485, _227487] : [-(a_select3(inv(_226730), _227487, _227485) = a_select3(inv(_226730), _227485, _227487)), leq(n0, _227487), leq(_227487, _226728), leq(n0, _227485), leq(_227485, _226728)]]], (500 ^ _210004) ^ [_228032, _228034] : [503 ^ _210004 : [(504 ^ _210004) ^ [] : [-(leq(n0, 501 ^ [_228032, _228034]))], (506 ^ _210004) ^ [] : [-(leq(501 ^ [_228032, _228034], _228032))], (508 ^ _210004) ^ [] : [-(leq(n0, 502 ^ [_228032, _228034]))], (510 ^ _210004) ^ [] : [-(leq(502 ^ [_228032, _228034], _228032))], (512 ^ _210004) ^ [] : [a_select3(_228034, 501 ^ [_228032, _228034], 502 ^ [_228032, _228034]) = a_select3(_228034, 502 ^ [_228032, _228034], 501 ^ [_228032, _228034])]], 513 ^ _210004 : [(514 ^ _210004) ^ [_228845, _228847, _228849, _228851] : [-(a_select3(tptp_update3(_228034, _228847, _228847, _228845), _228851, _228849) = a_select3(tptp_update3(_228034, _228847, _228847, _228845), _228849, _228851)), leq(n0, _228851), leq(_228851, _228032), leq(n0, _228849), leq(_228849, _228032), leq(n0, _228847), leq(_228847, _228032)]]], (540 ^ _210004) ^ [_229664, _229666, _229668] : [545 ^ _210004 : [(546 ^ _210004) ^ [] : [-(leq(n0, 543 ^ [_229664, _229666, _229668]))], (548 ^ _210004) ^ [] : [-(leq(543 ^ [_229664, _229666, _229668], _229664))], (550 ^ _210004) ^ [] : [-(leq(n0, 544 ^ [_229664, _229666, _229668]))], (552 ^ _210004) ^ [] : [-(leq(544 ^ [_229664, _229666, _229668], _229664))], (554 ^ _210004) ^ [] : [a_select3(_229668, 543 ^ [_229664, _229666, _229668], 544 ^ [_229664, _229666, _229668]) = a_select3(_229668, 544 ^ [_229664, _229666, _229668], 543 ^ [_229664, _229666, _229668])]], 557 ^ _210004 : [(558 ^ _210004) ^ [] : [-(leq(n0, 555 ^ [_229664, _229666, _229668]))], (560 ^ _210004) ^ [] : [-(leq(555 ^ [_229664, _229666, _229668], _229664))], (562 ^ _210004) ^ [] : [-(leq(n0, 556 ^ [_229664, _229666, _229668]))], (564 ^ _210004) ^ [] : [-(leq(556 ^ [_229664, _229666, _229668], _229664))], (566 ^ _210004) ^ [] : [a_select3(_229666, 555 ^ [_229664, _229666, _229668], 556 ^ [_229664, _229666, _229668]) = a_select3(_229666, 556 ^ [_229664, _229666, _229668], 555 ^ [_229664, _229666, _229668])]], 567 ^ _210004 : [(568 ^ _210004) ^ [_231173, _231175] : [-(a_select3(tptp_madd(_229668, _229666), _231175, _231173) = a_select3(tptp_madd(_229668, _229666), _231173, _231175)), leq(n0, _231175), leq(_231175, _229664), leq(n0, _231173), leq(_231173, _229664)]]], (586 ^ _210004) ^ [_231759, _231761, _231763] : [591 ^ _210004 : [(592 ^ _210004) ^ [] : [-(leq(n0, 589 ^ [_231759, _231761, _231763]))], (594 ^ _210004) ^ [] : [-(leq(589 ^ [_231759, _231761, _231763], _231759))], (596 ^ _210004) ^ [] : [-(leq(n0, 590 ^ [_231759, _231761, _231763]))], (598 ^ _210004) ^ [] : [-(leq(590 ^ [_231759, _231761, _231763], _231759))], (600 ^ _210004) ^ [] : [a_select3(_231763, 589 ^ [_231759, _231761, _231763], 590 ^ [_231759, _231761, _231763]) = a_select3(_231763, 590 ^ [_231759, _231761, _231763], 589 ^ [_231759, _231761, _231763])]], 603 ^ _210004 : [(604 ^ _210004) ^ [] : [-(leq(n0, 601 ^ [_231759, _231761, _231763]))], (606 ^ _210004) ^ [] : [-(leq(601 ^ [_231759, _231761, _231763], _231759))], (608 ^ _210004) ^ [] : [-(leq(n0, 602 ^ [_231759, _231761, _231763]))], (610 ^ _210004) ^ [] : [-(leq(602 ^ [_231759, _231761, _231763], _231759))], (612 ^ _210004) ^ [] : [a_select3(_231761, 601 ^ [_231759, _231761, _231763], 602 ^ [_231759, _231761, _231763]) = a_select3(_231761, 602 ^ [_231759, _231761, _231763], 601 ^ [_231759, _231761, _231763])]], 613 ^ _210004 : [(614 ^ _210004) ^ [_233268, _233270] : [-(a_select3(tptp_msub(_231763, _231761), _233270, _233268) = a_select3(tptp_msub(_231763, _231761), _233268, _233270)), leq(n0, _233270), leq(_233270, _231759), leq(n0, _233268), leq(_233268, _231759)]]], (632 ^ _210004) ^ [_233854, _233856, _233858] : [635 ^ _210004 : [(636 ^ _210004) ^ [] : [-(leq(n0, 633 ^ [_233854, _233856, _233858]))], (638 ^ _210004) ^ [] : [-(leq(633 ^ [_233854, _233856, _233858], _233854))], (640 ^ _210004) ^ [] : [-(leq(n0, 634 ^ [_233854, _233856, _233858]))], (642 ^ _210004) ^ [] : [-(leq(634 ^ [_233854, _233856, _233858], _233854))], (644 ^ _210004) ^ [] : [a_select3(_233856, 633 ^ [_233854, _233856, _233858], 634 ^ [_233854, _233856, _233858]) = a_select3(_233856, 634 ^ [_233854, _233856, _233858], 633 ^ [_233854, _233856, _233858])]], 645 ^ _210004 : [(646 ^ _210004) ^ [_234667, _234669] : [-(a_select3(tptp_mmul(_233858, tptp_mmul(_233856, trans(_233858))), _234669, _234667) = a_select3(tptp_mmul(_233858, tptp_mmul(_233856, trans(_233858))), _234667, _234669)), leq(n0, _234669), leq(_234669, _233854), leq(n0, _234667), leq(_234667, _233854)]]], (664 ^ _210004) ^ [_235286, _235288, _235290, _235292] : [667 ^ _210004 : [(668 ^ _210004) ^ [] : [-(leq(n0, 665 ^ [_235286, _235288, _235290, _235292]))], (670 ^ _210004) ^ [] : [-(leq(665 ^ [_235286, _235288, _235290, _235292], _235286))], (672 ^ _210004) ^ [] : [-(leq(n0, 666 ^ [_235286, _235288, _235290, _235292]))], (674 ^ _210004) ^ [] : [-(leq(666 ^ [_235286, _235288, _235290, _235292], _235286))], (676 ^ _210004) ^ [] : [a_select3(_235290, 665 ^ [_235286, _235288, _235290, _235292], 666 ^ [_235286, _235288, _235290, _235292]) = a_select3(_235290, 666 ^ [_235286, _235288, _235290, _235292], 665 ^ [_235286, _235288, _235290, _235292])]], 677 ^ _210004 : [(678 ^ _210004) ^ [_236143, _236145] : [-(a_select3(tptp_mmul(_235292, tptp_mmul(_235290, trans(_235292))), _236145, _236143) = a_select3(tptp_mmul(_235292, tptp_mmul(_235290, trans(_235292))), _236143, _236145)), leq(n0, _236145), leq(_236145, _235288), leq(n0, _236143), leq(_236143, _235288)]]], (696 ^ _210004) ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852] : [701 ^ _210004 : [(702 ^ _210004) ^ [] : [-(leq(n0, 699 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (704 ^ _210004) ^ [] : [-(leq(699 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236838))], (706 ^ _210004) ^ [] : [-(leq(n0, 700 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (708 ^ _210004) ^ [] : [-(leq(700 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236838))], (710 ^ _210004) ^ [] : [a_select3(_236846, 699 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 700 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]) = a_select3(_236846, 700 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 699 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852])]], 715 ^ _210004 : [(716 ^ _210004) ^ [] : [-(leq(n0, 713 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (718 ^ _210004) ^ [] : [-(leq(713 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236840))], (720 ^ _210004) ^ [] : [-(leq(n0, 714 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (722 ^ _210004) ^ [] : [-(leq(714 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236840))], (724 ^ _210004) ^ [] : [a_select3(_236852, 713 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 714 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]) = a_select3(_236852, 714 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 713 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852])]], 727 ^ _210004 : [(728 ^ _210004) ^ [] : [-(leq(n0, 725 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (730 ^ _210004) ^ [] : [-(leq(725 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236840))], (732 ^ _210004) ^ [] : [-(leq(n0, 726 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]))], (734 ^ _210004) ^ [] : [-(leq(726 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], _236840))], (736 ^ _210004) ^ [] : [a_select3(_236842, 725 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 726 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852]) = a_select3(_236842, 726 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852], 725 ^ [_236838, _236840, _236842, _236844, _236846, _236848, _236850, _236852])]], 737 ^ _210004 : [(738 ^ _210004) ^ [_239766, _239768] : [-(a_select3(tptp_madd(_236852, tptp_mmul(_236850, tptp_mmul(tptp_madd(tptp_mmul(_236848, tptp_mmul(_236846, trans(_236848))), tptp_mmul(_236844, tptp_mmul(_236842, trans(_236844)))), trans(_236850)))), _239768, _239766) = a_select3(tptp_madd(_236852, tptp_mmul(_236850, tptp_mmul(tptp_madd(tptp_mmul(_236848, tptp_mmul(_236846, trans(_236848))), tptp_mmul(_236844, tptp_mmul(_236842, trans(_236844)))), trans(_236850)))), _239766, _239768)), leq(n0, _239768), leq(_239768, _236840), leq(n0, _239766), leq(_239766, _236840)]]], (756 ^ _210004) ^ [_240519] : [-(sum(n0, tptp_minus_1, _240519) = n0)], (758 ^ _210004) ^ [_240601] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _240601))], (760 ^ _210004) ^ [] : [-(succ(tptp_minus_1) = n0)], (762 ^ _210004) ^ [_240736] : [-(plus(_240736, n1) = succ(_240736))], (764 ^ _210004) ^ [_240819] : [-(plus(n1, _240819) = succ(_240819))], (766 ^ _210004) ^ [_240902] : [-(plus(_240902, n2) = succ(succ(_240902)))], (768 ^ _210004) ^ [_240987] : [-(plus(n2, _240987) = succ(succ(_240987)))], (770 ^ _210004) ^ [_241072] : [-(plus(_241072, n3) = succ(succ(succ(_241072))))], (772 ^ _210004) ^ [_241159] : [-(plus(n3, _241159) = succ(succ(succ(_241159))))], (774 ^ _210004) ^ [_241246] : [-(plus(_241246, n4) = succ(succ(succ(succ(_241246)))))], (776 ^ _210004) ^ [_241335] : [-(plus(n4, _241335) = succ(succ(succ(succ(_241335)))))], (778 ^ _210004) ^ [_241424] : [-(plus(_241424, n5) = succ(succ(succ(succ(succ(_241424))))))], (780 ^ _210004) ^ [_241515] : [-(plus(n5, _241515) = succ(succ(succ(succ(succ(_241515))))))], (782 ^ _210004) ^ [_241606] : [-(minus(_241606, n1) = pred(_241606))], (784 ^ _210004) ^ [_241689] : [-(pred(succ(_241689)) = _241689)], (786 ^ _210004) ^ [_241771] : [-(succ(pred(_241771)) = _241771)], (788 ^ _210004) ^ [_241911, _241913] : [leq(succ(_241913), succ(_241911)), -(leq(_241913, _241911))], (794 ^ _210004) ^ [_242081, _242083] : [leq(_242083, _242081), -(leq(succ(_242083), succ(_242081)))], (800 ^ _210004) ^ [_242301, _242303] : [leq(succ(_242303), _242301), -(gt(_242301, _242303))], (806 ^ _210004) ^ [_242515, _242517] : [leq(minus(_242517, _242515), _242517), -(leq(n0, _242515))], (812 ^ _210004) ^ [_242744, _242746, _242748, _242750] : [-(a_select3(tptp_update3(_242750, _242748, _242746, _242744), _242748, _242746) = _242744)], (814 ^ _210004) ^ [_242936, _242938, _242940, _242942, _242944, _242946, _242948] : [-(a_select3(tptp_update3(_242940, _242948, _242946, _242936), _242944, _242942) = _242938), -(_242948 = _242944), _242946 = _242942, a_select3(_242940, _242944, _242942) = _242938], (828 ^ _210004) ^ [_243479, _243481, _243483, _243485, _243487, _243489] : [-(a_select3(tptp_update3(_243481, _243485, _243483, _243479), _243489, _243487) = _243479), 833 ^ _210004 : [(834 ^ _210004) ^ [] : [-(leq(n0, 831 ^ [_243479, _243481, _243483, _243485, _243487, _243489]))], (836 ^ _210004) ^ [] : [-(leq(n0, 832 ^ [_243479, _243481, _243483, _243485, _243487, _243489]))], (838 ^ _210004) ^ [] : [-(leq(831 ^ [_243479, _243481, _243483, _243485, _243487, _243489], _243485))], (840 ^ _210004) ^ [] : [-(leq(832 ^ [_243479, _243481, _243483, _243485, _243487, _243489], _243483))], (842 ^ _210004) ^ [] : [a_select3(_243481, 831 ^ [_243479, _243481, _243483, _243485, _243487, _243489], 832 ^ [_243479, _243481, _243483, _243485, _243487, _243489]) = _243479]], leq(n0, _243489), leq(_243489, _243485), leq(n0, _243487), leq(_243487, _243483)], (860 ^ _210004) ^ [_244821, _244823, _244825] : [-(a_select2(tptp_update2(_244825, _244823, _244821), _244823) = _244821)], (862 ^ _210004) ^ [_244981, _244983, _244985, _244987, _244989] : [-(a_select2(tptp_update2(_244985, _244989, _244981), _244987) = _244983), -(_244989 = _244987), a_select2(_244985, _244987) = _244983], (891 ^ _210004) ^ [] : [-(true)], (893 ^ _210004) ^ [] : [def = use], (872 ^ _210004) ^ [_245361, _245363, _245365, _245367] : [-(a_select2(tptp_update2(_245363, _245365, _245361), _245367) = _245361), 876 ^ _210004 : [(877 ^ _210004) ^ [] : [-(leq(n0, 875 ^ [_245361, _245363, _245365, _245367]))], (879 ^ _210004) ^ [] : [-(leq(875 ^ [_245361, _245363, _245365, _245367], _245365))], (881 ^ _210004) ^ [] : [a_select2(_245363, 875 ^ [_245361, _245363, _245365, _245367]) = _245361]], leq(n0, _245367), leq(_245367, _245365)]], input).
% 0.39/1.39  ncf('1',plain,[sum(n0, n4, a_select3(q, 1110 ^ [], tptp_sum_index)) = n1],start(1118 ^ 0)).
% 0.39/1.39  ncf('1.1',plain,[-(sum(n0, n4, a_select3(q, 1110 ^ [], tptp_sum_index)) = n1), leq(n0, 1110 ^ []), leq(1110 ^ [], pred(pv10))],extension(1101 ^ 1,bind([[_251848], [1110 ^ []]]))).
% 0.39/1.39  ncf('1.1.1',plain,[-(leq(n0, 1110 ^ []))],extension(1112 ^ 2)).
% 0.39/1.39  ncf('1.1.2',plain,[-(leq(1110 ^ [], pred(pv10)))],extension(1114 ^ 2)).
% 0.39/1.39  %-----------------------------------------------------
% 0.39/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------