%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV107+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 12:19:59 EDT 2023
% Result : Theorem 0.35s 1.38s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV107+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 19 02:19:47 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.35/1.38
% 0.35/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.38 %-----------------------------------------------------
% 0.35/1.38 ncf(matrix, plain, [(1107 ^ _205313) ^ [] : [-(geq(minus(n3, n1), n0))], (1109 ^ _205313) ^ [] : [-(geq(minus(n6, n1), n0))], (1111 ^ _205313) ^ [] : [-(geq(n2, n0))], (1113 ^ _205313) ^ [] : [-(geq(minus(n999, n1), n0))], (1115 ^ _205313) ^ [] : [-(geq(minus(n6, n1), n0))], (1117 ^ _205313) ^ [] : [-(geq(minus(n6, n1), n0))], (1119 ^ _205313) ^ [] : [-(geq(minus(n6, n1), n0))], (1121 ^ _205313) ^ [] : [-(geq(minus(n3, n1), n0))], (1123 ^ _205313) ^ [] : [-(geq(minus(n999, n1), n0))], (1125 ^ _205313) ^ [] : [true], (2 ^ _205313) ^ [_205457] : [-(_205457 = _205457)], (4 ^ _205313) ^ [_205564, _205566] : [_205566 = _205564, -(_205564 = _205566)], (10 ^ _205313) ^ [_205768, _205770, _205772] : [-(_205772 = _205768), _205772 = _205770, _205770 = _205768], (20 ^ _205313) ^ [_206109, _206111, _206113, _206115] : [-(lt(_206113, _206109)), lt(_206115, _206111), _206115 = _206113, _206111 = _206109], (34 ^ _205313) ^ [_206553, _206555, _206557, _206559] : [-(gt(_206557, _206553)), gt(_206559, _206555), _206559 = _206557, _206555 = _206553], (48 ^ _205313) ^ [_206997, _206999, _207001, _207003] : [-(leq(_207001, _206997)), leq(_207003, _206999), _207003 = _207001, _206999 = _206997], (62 ^ _205313) ^ [_207421, _207423, _207425, _207427] : [-(geq(_207425, _207421)), geq(_207427, _207423), _207427 = _207425, _207423 = _207421], (76 ^ _205313) ^ [_207877, _207879, _207881, _207883] : [-(uniform_int_rnd(_207883, _207879) = uniform_int_rnd(_207881, _207877)), _207883 = _207881, _207879 = _207877], (86 ^ _205313) ^ [_208236, _208238, _208240, _208242] : [-(tptp_const_array1(_208242, _208238) = tptp_const_array1(_208240, _208236)), _208242 = _208240, _208238 = _208236], (96 ^ _205313) ^ [_208623, _208625, _208627, _208629, _208631, _208633] : [-(tptp_const_array2(_208633, _208629, _208625) = tptp_const_array2(_208631, _208627, _208623)), _208633 = _208631, _208629 = _208627, _208625 = _208623], (110 ^ _205313) ^ [_209111, _209113, _209115, _209117] : [-(dim(_209117, _209113) = dim(_209115, _209111)), _209117 = _209115, _209113 = _209111], (120 ^ _205313) ^ [_209442, _209444] : [_209444 = _209442, -(inv(_209444) = inv(_209442))], (126 ^ _205313) ^ [_209688, _209690, _209692, _209694] : [-(tptp_msub(_209694, _209690) = tptp_msub(_209692, _209688)), _209694 = _209692, _209690 = _209688], (136 ^ _205313) ^ [_210047, _210049, _210051, _210053] : [-(tptp_madd(_210053, _210049) = tptp_madd(_210051, _210047)), _210053 = _210051, _210049 = _210047], (146 ^ _205313) ^ [_210406, _210408, _210410, _210412] : [-(tptp_mmul(_210412, _210408) = tptp_mmul(_210410, _210406)), _210412 = _210410, _210408 = _210406], (156 ^ _205313) ^ [_210737, _210739] : [_210739 = _210737, -(trans(_210739) = trans(_210737))], (162 ^ _205313) ^ [_211011, _211013, _211015, _211017, _211019, _211021] : [-(sum(_211021, _211017, _211013) = sum(_211019, _211015, _211011)), _211021 = _211019, _211017 = _211015, _211013 = _211011], (176 ^ _205313) ^ [_211499, _211501, _211503, _211505] : [-(plus(_211505, _211501) = plus(_211503, _211499)), _211505 = _211503, _211501 = _211499], (186 ^ _205313) ^ [_211830, _211832] : [_211832 = _211830, -(pred(_211832) = pred(_211830))], (192 ^ _205313) ^ [_212104, _212106, _212108, _212110, _212112, _212114] : [-(a_select3(_212114, _212110, _212106) = a_select3(_212112, _212108, _212104)), _212114 = _212112, _212110 = _212108, _212106 = _212104], (206 ^ _205313) ^ [_212648, _212650, _212652, _212654, _212656, _212658, _212660, _212662] : [-(tptp_update3(_212662, _212658, _212654, _212650) = tptp_update3(_212660, _212656, _212652, _212648)), _212662 = _212660, _212658 = _212656, _212654 = _212652, _212650 = _212648], (224 ^ _205313) ^ [_213281, _213283, _213285, _213287] : [-(a_select2(_213287, _213283) = a_select2(_213285, _213281)), _213287 = _213285, _213283 = _213281], (234 ^ _205313) ^ [_213668, _213670, _213672, _213674, _213676, _213678] : [-(tptp_update2(_213678, _213674, _213670) = tptp_update2(_213676, _213672, _213668)), _213678 = _213676, _213674 = _213672, _213670 = _213668], (248 ^ _205313) ^ [_214128, _214130] : [_214130 = _214128, -(succ(_214130) = succ(_214128))], (254 ^ _205313) ^ [_214354, _214356, _214358, _214360] : [-(minus(_214360, _214356) = minus(_214358, _214354)), _214360 = _214358, _214356 = _214354], (869 ^ _205313) ^ [] : [-(gt(n5, n4))], (871 ^ _205313) ^ [] : [-(gt(n6, n4))], (873 ^ _205313) ^ [] : [-(gt(n999, n4))], (875 ^ _205313) ^ [] : [-(gt(n6, n5))], (877 ^ _205313) ^ [] : [-(gt(n999, n5))], (879 ^ _205313) ^ [] : [-(gt(n999, n6))], (881 ^ _205313) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _205313) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _205313) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _205313) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _205313) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _205313) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _205313) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _205313) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _205313) ^ [] : [-(gt(n4, n0))], (899 ^ _205313) ^ [] : [-(gt(n5, n0))], (901 ^ _205313) ^ [] : [-(gt(n6, n0))], (903 ^ _205313) ^ [] : [-(gt(n999, n0))], (905 ^ _205313) ^ [] : [-(gt(n1, n0))], (907 ^ _205313) ^ [] : [-(gt(n2, n0))], (909 ^ _205313) ^ [] : [-(gt(n3, n0))], (911 ^ _205313) ^ [] : [-(gt(n4, n1))], (913 ^ _205313) ^ [] : [-(gt(n5, n1))], (915 ^ _205313) ^ [] : [-(gt(n6, n1))], (917 ^ _205313) ^ [] : [-(gt(n999, n1))], (919 ^ _205313) ^ [] : [-(gt(n2, n1))], (921 ^ _205313) ^ [] : [-(gt(n3, n1))], (923 ^ _205313) ^ [] : [-(gt(n4, n2))], (925 ^ _205313) ^ [] : [-(gt(n5, n2))], (927 ^ _205313) ^ [] : [-(gt(n6, n2))], (929 ^ _205313) ^ [] : [-(gt(n999, n2))], (931 ^ _205313) ^ [] : [-(gt(n3, n2))], (933 ^ _205313) ^ [] : [-(gt(n4, n3))], (935 ^ _205313) ^ [] : [-(gt(n5, n3))], (937 ^ _205313) ^ [] : [-(gt(n6, n3))], (939 ^ _205313) ^ [] : [-(gt(n999, n3))], (941 ^ _205313) ^ [_242618] : [leq(n0, _242618), leq(_242618, n4), -(_242618 = n0), -(_242618 = n1), -(_242618 = n2), -(_242618 = n3), -(_242618 = n4)], (967 ^ _205313) ^ [_243239] : [leq(n0, _243239), leq(_243239, n5), -(_243239 = n0), -(_243239 = n1), -(_243239 = n2), -(_243239 = n3), -(_243239 = n4), -(_243239 = n5)], (997 ^ _205313) ^ [_243946] : [leq(n0, _243946), leq(_243946, n6), -(_243946 = n0), -(_243946 = n1), -(_243946 = n2), -(_243946 = n3), -(_243946 = n4), -(_243946 = n5), -(_243946 = n6)], (1031 ^ _205313) ^ [_244739] : [-(_244739 = n0), leq(n0, _244739), leq(_244739, n0)], (1041 ^ _205313) ^ [_245014] : [leq(n0, _245014), leq(_245014, n1), -(_245014 = n0), -(_245014 = n1)], (1055 ^ _205313) ^ [_245377] : [leq(n0, _245377), leq(_245377, n2), -(_245377 = n0), -(_245377 = n1), -(_245377 = n2)], (1095 ^ _205313) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _205313) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _205313) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _205313) ^ [] : [-(succ(n0) = n1)], (1103 ^ _205313) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _205313) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _205313) ^ [_245826] : [leq(n0, _245826), leq(_245826, n3), -(_245826 = n0), -(_245826 = n1), -(_245826 = n2), -(_245826 = n3)], (264 ^ _205313) ^ [_214785, _214787] : [-(gt(_214787, _214785)), -(gt(_214785, _214787)), -(_214787 = _214785)], (274 ^ _205313) ^ [_215100, _215102, _215104] : [-(gt(_215104, _215100)), gt(_215104, _215102), gt(_215102, _215100)], (284 ^ _205313) ^ [_215379] : [gt(_215379, _215379)], (286 ^ _205313) ^ [_215457] : [-(leq(_215457, _215457))], (288 ^ _205313) ^ [_215578, _215580, _215582] : [-(leq(_215582, _215578)), leq(_215582, _215580), leq(_215580, _215578)], (298 ^ _205313) ^ [_215916, _215918] : [lt(_215918, _215916), -(gt(_215916, _215918))], (304 ^ _205313) ^ [_216078, _216080] : [gt(_216078, _216080), -(lt(_216080, _216078))], (310 ^ _205313) ^ [_216319, _216321] : [geq(_216321, _216319), -(leq(_216319, _216321))], (316 ^ _205313) ^ [_216481, _216483] : [leq(_216481, _216483), -(geq(_216483, _216481))], (322 ^ _205313) ^ [_216693, _216695] : [gt(_216693, _216695), -(leq(_216695, _216693))], (328 ^ _205313) ^ [_216903, _216905] : [-(gt(_216903, _216905)), leq(_216905, _216903), -(_216905 = _216903)], (338 ^ _205313) ^ [_217234, _217236] : [leq(_217236, pred(_217234)), -(gt(_217234, _217236))], (344 ^ _205313) ^ [_217400, _217402] : [gt(_217400, _217402), -(leq(_217402, pred(_217400)))], (350 ^ _205313) ^ [_217587] : [-(gt(succ(_217587), _217587))], (352 ^ _205313) ^ [_217696, _217698] : [leq(_217698, _217696), -(leq(_217698, succ(_217696)))], (358 ^ _205313) ^ [_217939, _217941] : [leq(_217941, _217939), -(gt(succ(_217939), _217941))], (364 ^ _205313) ^ [_218105, _218107] : [gt(succ(_218105), _218107), -(leq(_218107, _218105))], (370 ^ _205313) ^ [_218321, _218323] : [leq(n0, _218323), -(leq(uniform_int_rnd(_218321, _218323), _218323))], (376 ^ _205313) ^ [_218537, _218539] : [leq(n0, _218539), -(leq(n0, uniform_int_rnd(_218537, _218539)))], (382 ^ _205313) ^ [_218781, _218783, _218785, _218787] : [-(a_select2(tptp_const_array1(dim(_218785, _218783), _218781), _218787) = _218781), leq(_218785, _218787), leq(_218787, _218783)], (392 ^ _205313) ^ [_219188, _219190, _219192, _219194, _219196, _219198, _219200] : [-(a_select3(tptp_const_array2(dim(_219198, _219196), dim(_219192, _219190), _219188), _219200, _219194) = _219188), leq(_219198, _219200), leq(_219200, _219196), leq(_219192, _219194), leq(_219194, _219190)], (410 ^ _205313) ^ [_219783, _219785] : [413 ^ _205313 : [(414 ^ _205313) ^ [] : [-(leq(n0, 411 ^ [_219783, _219785]))], (416 ^ _205313) ^ [] : [-(leq(411 ^ [_219783, _219785], _219783))], (418 ^ _205313) ^ [] : [-(leq(n0, 412 ^ [_219783, _219785]))], (420 ^ _205313) ^ [] : [-(leq(412 ^ [_219783, _219785], _219783))], (422 ^ _205313) ^ [] : [a_select3(_219785, 411 ^ [_219783, _219785], 412 ^ [_219783, _219785]) = a_select3(_219785, 412 ^ [_219783, _219785], 411 ^ [_219783, _219785])]], 423 ^ _205313 : [(424 ^ _205313) ^ [_220540, _220542] : [-(a_select3(trans(_219785), _220542, _220540) = a_select3(trans(_219785), _220540, _220542)), leq(n0, _220542), leq(_220542, _219783), leq(n0, _220540), leq(_220540, _219783)]]], (442 ^ _205313) ^ [_221087, _221089] : [445 ^ _205313 : [(446 ^ _205313) ^ [] : [-(leq(n0, 443 ^ [_221087, _221089]))], (448 ^ _205313) ^ [] : [-(leq(443 ^ [_221087, _221089], _221087))], (450 ^ _205313) ^ [] : [-(leq(n0, 444 ^ [_221087, _221089]))], (452 ^ _205313) ^ [] : [-(leq(444 ^ [_221087, _221089], _221087))], (454 ^ _205313) ^ [] : [a_select3(_221089, 443 ^ [_221087, _221089], 444 ^ [_221087, _221089]) = a_select3(_221089, 444 ^ [_221087, _221089], 443 ^ [_221087, _221089])]], 455 ^ _205313 : [(456 ^ _205313) ^ [_221844, _221846] : [-(a_select3(inv(_221089), _221846, _221844) = a_select3(inv(_221089), _221844, _221846)), leq(n0, _221846), leq(_221846, _221087), leq(n0, _221844), leq(_221844, _221087)]]], (474 ^ _205313) ^ [_222391, _222393] : [477 ^ _205313 : [(478 ^ _205313) ^ [] : [-(leq(n0, 475 ^ [_222391, _222393]))], (480 ^ _205313) ^ [] : [-(leq(475 ^ [_222391, _222393], _222391))], (482 ^ _205313) ^ [] : [-(leq(n0, 476 ^ [_222391, _222393]))], (484 ^ _205313) ^ [] : [-(leq(476 ^ [_222391, _222393], _222391))], (486 ^ _205313) ^ [] : [a_select3(_222393, 475 ^ [_222391, _222393], 476 ^ [_222391, _222393]) = a_select3(_222393, 476 ^ [_222391, _222393], 475 ^ [_222391, _222393])]], 487 ^ _205313 : [(488 ^ _205313) ^ [_223204, _223206, _223208, _223210] : [-(a_select3(tptp_update3(_222393, _223206, _223206, _223204), _223210, _223208) = a_select3(tptp_update3(_222393, _223206, _223206, _223204), _223208, _223210)), leq(n0, _223210), leq(_223210, _222391), leq(n0, _223208), leq(_223208, _222391), leq(n0, _223206), leq(_223206, _222391)]]], (514 ^ _205313) ^ [_224023, _224025, _224027] : [519 ^ _205313 : [(520 ^ _205313) ^ [] : [-(leq(n0, 517 ^ [_224023, _224025, _224027]))], (522 ^ _205313) ^ [] : [-(leq(517 ^ [_224023, _224025, _224027], _224023))], (524 ^ _205313) ^ [] : [-(leq(n0, 518 ^ [_224023, _224025, _224027]))], (526 ^ _205313) ^ [] : [-(leq(518 ^ [_224023, _224025, _224027], _224023))], (528 ^ _205313) ^ [] : [a_select3(_224027, 517 ^ [_224023, _224025, _224027], 518 ^ [_224023, _224025, _224027]) = a_select3(_224027, 518 ^ [_224023, _224025, _224027], 517 ^ [_224023, _224025, _224027])]], 531 ^ _205313 : [(532 ^ _205313) ^ [] : [-(leq(n0, 529 ^ [_224023, _224025, _224027]))], (534 ^ _205313) ^ [] : [-(leq(529 ^ [_224023, _224025, _224027], _224023))], (536 ^ _205313) ^ [] : [-(leq(n0, 530 ^ [_224023, _224025, _224027]))], (538 ^ _205313) ^ [] : [-(leq(530 ^ [_224023, _224025, _224027], _224023))], (540 ^ _205313) ^ [] : [a_select3(_224025, 529 ^ [_224023, _224025, _224027], 530 ^ [_224023, _224025, _224027]) = a_select3(_224025, 530 ^ [_224023, _224025, _224027], 529 ^ [_224023, _224025, _224027])]], 541 ^ _205313 : [(542 ^ _205313) ^ [_225532, _225534] : [-(a_select3(tptp_madd(_224027, _224025), _225534, _225532) = a_select3(tptp_madd(_224027, _224025), _225532, _225534)), leq(n0, _225534), leq(_225534, _224023), leq(n0, _225532), leq(_225532, _224023)]]], (560 ^ _205313) ^ [_226118, _226120, _226122] : [565 ^ _205313 : [(566 ^ _205313) ^ [] : [-(leq(n0, 563 ^ [_226118, _226120, _226122]))], (568 ^ _205313) ^ [] : [-(leq(563 ^ [_226118, _226120, _226122], _226118))], (570 ^ _205313) ^ [] : [-(leq(n0, 564 ^ [_226118, _226120, _226122]))], (572 ^ _205313) ^ [] : [-(leq(564 ^ [_226118, _226120, _226122], _226118))], (574 ^ _205313) ^ [] : [a_select3(_226122, 563 ^ [_226118, _226120, _226122], 564 ^ [_226118, _226120, _226122]) = a_select3(_226122, 564 ^ [_226118, _226120, _226122], 563 ^ [_226118, _226120, _226122])]], 577 ^ _205313 : [(578 ^ _205313) ^ [] : [-(leq(n0, 575 ^ [_226118, _226120, _226122]))], (580 ^ _205313) ^ [] : [-(leq(575 ^ [_226118, _226120, _226122], _226118))], (582 ^ _205313) ^ [] : [-(leq(n0, 576 ^ [_226118, _226120, _226122]))], (584 ^ _205313) ^ [] : [-(leq(576 ^ [_226118, _226120, _226122], _226118))], (586 ^ _205313) ^ [] : [a_select3(_226120, 575 ^ [_226118, _226120, _226122], 576 ^ [_226118, _226120, _226122]) = a_select3(_226120, 576 ^ [_226118, _226120, _226122], 575 ^ [_226118, _226120, _226122])]], 587 ^ _205313 : [(588 ^ _205313) ^ [_227627, _227629] : [-(a_select3(tptp_msub(_226122, _226120), _227629, _227627) = a_select3(tptp_msub(_226122, _226120), _227627, _227629)), leq(n0, _227629), leq(_227629, _226118), leq(n0, _227627), leq(_227627, _226118)]]], (606 ^ _205313) ^ [_228213, _228215, _228217] : [609 ^ _205313 : [(610 ^ _205313) ^ [] : [-(leq(n0, 607 ^ [_228213, _228215, _228217]))], (612 ^ _205313) ^ [] : [-(leq(607 ^ [_228213, _228215, _228217], _228213))], (614 ^ _205313) ^ [] : [-(leq(n0, 608 ^ [_228213, _228215, _228217]))], (616 ^ _205313) ^ [] : [-(leq(608 ^ [_228213, _228215, _228217], _228213))], (618 ^ _205313) ^ [] : [a_select3(_228215, 607 ^ [_228213, _228215, _228217], 608 ^ [_228213, _228215, _228217]) = a_select3(_228215, 608 ^ [_228213, _228215, _228217], 607 ^ [_228213, _228215, _228217])]], 619 ^ _205313 : [(620 ^ _205313) ^ [_229026, _229028] : [-(a_select3(tptp_mmul(_228217, tptp_mmul(_228215, trans(_228217))), _229028, _229026) = a_select3(tptp_mmul(_228217, tptp_mmul(_228215, trans(_228217))), _229026, _229028)), leq(n0, _229028), leq(_229028, _228213), leq(n0, _229026), leq(_229026, _228213)]]], (638 ^ _205313) ^ [_229645, _229647, _229649, _229651] : [641 ^ _205313 : [(642 ^ _205313) ^ [] : [-(leq(n0, 639 ^ [_229645, _229647, _229649, _229651]))], (644 ^ _205313) ^ [] : [-(leq(639 ^ [_229645, _229647, _229649, _229651], _229645))], (646 ^ _205313) ^ [] : [-(leq(n0, 640 ^ [_229645, _229647, _229649, _229651]))], (648 ^ _205313) ^ [] : [-(leq(640 ^ [_229645, _229647, _229649, _229651], _229645))], (650 ^ _205313) ^ [] : [a_select3(_229649, 639 ^ [_229645, _229647, _229649, _229651], 640 ^ [_229645, _229647, _229649, _229651]) = a_select3(_229649, 640 ^ [_229645, _229647, _229649, _229651], 639 ^ [_229645, _229647, _229649, _229651])]], 651 ^ _205313 : [(652 ^ _205313) ^ [_230502, _230504] : [-(a_select3(tptp_mmul(_229651, tptp_mmul(_229649, trans(_229651))), _230504, _230502) = a_select3(tptp_mmul(_229651, tptp_mmul(_229649, trans(_229651))), _230502, _230504)), leq(n0, _230504), leq(_230504, _229647), leq(n0, _230502), leq(_230502, _229647)]]], (670 ^ _205313) ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211] : [675 ^ _205313 : [(676 ^ _205313) ^ [] : [-(leq(n0, 673 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (678 ^ _205313) ^ [] : [-(leq(673 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231197))], (680 ^ _205313) ^ [] : [-(leq(n0, 674 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (682 ^ _205313) ^ [] : [-(leq(674 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231197))], (684 ^ _205313) ^ [] : [a_select3(_231205, 673 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 674 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]) = a_select3(_231205, 674 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 673 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211])]], 689 ^ _205313 : [(690 ^ _205313) ^ [] : [-(leq(n0, 687 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (692 ^ _205313) ^ [] : [-(leq(687 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231199))], (694 ^ _205313) ^ [] : [-(leq(n0, 688 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (696 ^ _205313) ^ [] : [-(leq(688 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231199))], (698 ^ _205313) ^ [] : [a_select3(_231211, 687 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 688 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]) = a_select3(_231211, 688 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 687 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211])]], 701 ^ _205313 : [(702 ^ _205313) ^ [] : [-(leq(n0, 699 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (704 ^ _205313) ^ [] : [-(leq(699 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231199))], (706 ^ _205313) ^ [] : [-(leq(n0, 700 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]))], (708 ^ _205313) ^ [] : [-(leq(700 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], _231199))], (710 ^ _205313) ^ [] : [a_select3(_231201, 699 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 700 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211]) = a_select3(_231201, 700 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211], 699 ^ [_231197, _231199, _231201, _231203, _231205, _231207, _231209, _231211])]], 711 ^ _205313 : [(712 ^ _205313) ^ [_234125, _234127] : [-(a_select3(tptp_madd(_231211, tptp_mmul(_231209, tptp_mmul(tptp_madd(tptp_mmul(_231207, tptp_mmul(_231205, trans(_231207))), tptp_mmul(_231203, tptp_mmul(_231201, trans(_231203)))), trans(_231209)))), _234127, _234125) = a_select3(tptp_madd(_231211, tptp_mmul(_231209, tptp_mmul(tptp_madd(tptp_mmul(_231207, tptp_mmul(_231205, trans(_231207))), tptp_mmul(_231203, tptp_mmul(_231201, trans(_231203)))), trans(_231209)))), _234125, _234127)), leq(n0, _234127), leq(_234127, _231199), leq(n0, _234125), leq(_234125, _231199)]]], (730 ^ _205313) ^ [_234878] : [-(sum(n0, tptp_minus_1, _234878) = n0)], (732 ^ _205313) ^ [_234960] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _234960))], (734 ^ _205313) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _205313) ^ [_235095] : [-(plus(_235095, n1) = succ(_235095))], (738 ^ _205313) ^ [_235178] : [-(plus(n1, _235178) = succ(_235178))], (740 ^ _205313) ^ [_235261] : [-(plus(_235261, n2) = succ(succ(_235261)))], (742 ^ _205313) ^ [_235346] : [-(plus(n2, _235346) = succ(succ(_235346)))], (744 ^ _205313) ^ [_235431] : [-(plus(_235431, n3) = succ(succ(succ(_235431))))], (746 ^ _205313) ^ [_235518] : [-(plus(n3, _235518) = succ(succ(succ(_235518))))], (748 ^ _205313) ^ [_235605] : [-(plus(_235605, n4) = succ(succ(succ(succ(_235605)))))], (750 ^ _205313) ^ [_235694] : [-(plus(n4, _235694) = succ(succ(succ(succ(_235694)))))], (752 ^ _205313) ^ [_235783] : [-(plus(_235783, n5) = succ(succ(succ(succ(succ(_235783))))))], (754 ^ _205313) ^ [_235874] : [-(plus(n5, _235874) = succ(succ(succ(succ(succ(_235874))))))], (756 ^ _205313) ^ [_235965] : [-(minus(_235965, n1) = pred(_235965))], (758 ^ _205313) ^ [_236048] : [-(pred(succ(_236048)) = _236048)], (760 ^ _205313) ^ [_236130] : [-(succ(pred(_236130)) = _236130)], (762 ^ _205313) ^ [_236270, _236272] : [leq(succ(_236272), succ(_236270)), -(leq(_236272, _236270))], (768 ^ _205313) ^ [_236440, _236442] : [leq(_236442, _236440), -(leq(succ(_236442), succ(_236440)))], (774 ^ _205313) ^ [_236660, _236662] : [leq(succ(_236662), _236660), -(gt(_236660, _236662))], (780 ^ _205313) ^ [_236874, _236876] : [leq(minus(_236876, _236874), _236876), -(leq(n0, _236874))], (786 ^ _205313) ^ [_237103, _237105, _237107, _237109] : [-(a_select3(tptp_update3(_237109, _237107, _237105, _237103), _237107, _237105) = _237103)], (788 ^ _205313) ^ [_237295, _237297, _237299, _237301, _237303, _237305, _237307] : [-(a_select3(tptp_update3(_237299, _237307, _237305, _237295), _237303, _237301) = _237297), -(_237307 = _237303), _237305 = _237301, a_select3(_237299, _237303, _237301) = _237297], (802 ^ _205313) ^ [_237838, _237840, _237842, _237844, _237846, _237848] : [-(a_select3(tptp_update3(_237840, _237844, _237842, _237838), _237848, _237846) = _237838), 807 ^ _205313 : [(808 ^ _205313) ^ [] : [-(leq(n0, 805 ^ [_237838, _237840, _237842, _237844, _237846, _237848]))], (810 ^ _205313) ^ [] : [-(leq(n0, 806 ^ [_237838, _237840, _237842, _237844, _237846, _237848]))], (812 ^ _205313) ^ [] : [-(leq(805 ^ [_237838, _237840, _237842, _237844, _237846, _237848], _237844))], (814 ^ _205313) ^ [] : [-(leq(806 ^ [_237838, _237840, _237842, _237844, _237846, _237848], _237842))], (816 ^ _205313) ^ [] : [a_select3(_237840, 805 ^ [_237838, _237840, _237842, _237844, _237846, _237848], 806 ^ [_237838, _237840, _237842, _237844, _237846, _237848]) = _237838]], leq(n0, _237848), leq(_237848, _237844), leq(n0, _237846), leq(_237846, _237842)], (834 ^ _205313) ^ [_239180, _239182, _239184] : [-(a_select2(tptp_update2(_239184, _239182, _239180), _239182) = _239180)], (836 ^ _205313) ^ [_239340, _239342, _239344, _239346, _239348] : [-(a_select2(tptp_update2(_239344, _239348, _239340), _239346) = _239342), -(_239348 = _239346), a_select2(_239344, _239346) = _239342], (865 ^ _205313) ^ [] : [-(true)], (867 ^ _205313) ^ [] : [def = use], (846 ^ _205313) ^ [_239720, _239722, _239724, _239726] : [-(a_select2(tptp_update2(_239722, _239724, _239720), _239726) = _239720), 850 ^ _205313 : [(851 ^ _205313) ^ [] : [-(leq(n0, 849 ^ [_239720, _239722, _239724, _239726]))], (853 ^ _205313) ^ [] : [-(leq(849 ^ [_239720, _239722, _239724, _239726], _239724))], (855 ^ _205313) ^ [] : [a_select2(_239722, 849 ^ [_239720, _239722, _239724, _239726]) = _239720]], leq(n0, _239726), leq(_239726, _239724)]], input).
% 0.35/1.38 ncf('1',plain,[true],start(1125 ^ 0)).
% 0.35/1.38 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.35/1.38 %-----------------------------------------------------
% 0.35/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------