%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV070+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:19:54 EDT 2023

% Result   : Theorem 0.36s 1.41s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV070+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.14  % Command  : nanocop.sh %s %d
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri May 19 02:38:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.36/1.41  
% 0.36/1.41  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.41  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  ncf(matrix, plain, [(1055 ^ _197063) ^ [] : [-(leq(n0, pv10))], (1057 ^ _197063) ^ [] : [-(leq(pv10, minus(n135300, n1)))], (1059 ^ _197063) ^ [] : [leq(n0, pv10), leq(pv10, minus(n135300, n1))], (2 ^ _197063) ^ [_197207] : [-(_197207 = _197207)], (4 ^ _197063) ^ [_197314, _197316] : [_197316 = _197314, -(_197314 = _197316)], (10 ^ _197063) ^ [_197518, _197520, _197522] : [-(_197522 = _197518), _197522 = _197520, _197520 = _197518], (20 ^ _197063) ^ [_197859, _197861, _197863, _197865] : [-(lt(_197863, _197859)), lt(_197865, _197861), _197865 = _197863, _197861 = _197859], (34 ^ _197063) ^ [_198303, _198305, _198307, _198309] : [-(geq(_198307, _198303)), geq(_198309, _198305), _198309 = _198307, _198305 = _198303], (48 ^ _197063) ^ [_198747, _198749, _198751, _198753] : [-(gt(_198751, _198747)), gt(_198753, _198749), _198753 = _198751, _198749 = _198747], (62 ^ _197063) ^ [_199171, _199173, _199175, _199177] : [-(leq(_199175, _199171)), leq(_199177, _199173), _199177 = _199175, _199173 = _199171], (76 ^ _197063) ^ [_199627, _199629, _199631, _199633] : [-(uniform_int_rnd(_199633, _199629) = uniform_int_rnd(_199631, _199627)), _199633 = _199631, _199629 = _199627], (86 ^ _197063) ^ [_199986, _199988, _199990, _199992] : [-(tptp_const_array1(_199992, _199988) = tptp_const_array1(_199990, _199986)), _199992 = _199990, _199988 = _199986], (96 ^ _197063) ^ [_200373, _200375, _200377, _200379, _200381, _200383] : [-(tptp_const_array2(_200383, _200379, _200375) = tptp_const_array2(_200381, _200377, _200373)), _200383 = _200381, _200379 = _200377, _200375 = _200373], (110 ^ _197063) ^ [_200861, _200863, _200865, _200867] : [-(dim(_200867, _200863) = dim(_200865, _200861)), _200867 = _200865, _200863 = _200861], (120 ^ _197063) ^ [_201192, _201194] : [_201194 = _201192, -(inv(_201194) = inv(_201192))], (126 ^ _197063) ^ [_201438, _201440, _201442, _201444] : [-(tptp_msub(_201444, _201440) = tptp_msub(_201442, _201438)), _201444 = _201442, _201440 = _201438], (136 ^ _197063) ^ [_201797, _201799, _201801, _201803] : [-(tptp_madd(_201803, _201799) = tptp_madd(_201801, _201797)), _201803 = _201801, _201799 = _201797], (146 ^ _197063) ^ [_202156, _202158, _202160, _202162] : [-(tptp_mmul(_202162, _202158) = tptp_mmul(_202160, _202156)), _202162 = _202160, _202158 = _202156], (156 ^ _197063) ^ [_202487, _202489] : [_202489 = _202487, -(trans(_202489) = trans(_202487))], (162 ^ _197063) ^ [_202761, _202763, _202765, _202767, _202769, _202771] : [-(sum(_202771, _202767, _202763) = sum(_202769, _202765, _202761)), _202771 = _202769, _202767 = _202765, _202763 = _202761], (176 ^ _197063) ^ [_203249, _203251, _203253, _203255] : [-(plus(_203255, _203251) = plus(_203253, _203249)), _203255 = _203253, _203251 = _203249], (186 ^ _197063) ^ [_203580, _203582] : [_203582 = _203580, -(pred(_203582) = pred(_203580))], (192 ^ _197063) ^ [_203854, _203856, _203858, _203860, _203862, _203864] : [-(a_select3(_203864, _203860, _203856) = a_select3(_203862, _203858, _203854)), _203864 = _203862, _203860 = _203858, _203856 = _203854], (206 ^ _197063) ^ [_204398, _204400, _204402, _204404, _204406, _204408, _204410, _204412] : [-(tptp_update3(_204412, _204408, _204404, _204400) = tptp_update3(_204410, _204406, _204402, _204398)), _204412 = _204410, _204408 = _204406, _204404 = _204402, _204400 = _204398], (224 ^ _197063) ^ [_205031, _205033, _205035, _205037] : [-(a_select2(_205037, _205033) = a_select2(_205035, _205031)), _205037 = _205035, _205033 = _205031], (234 ^ _197063) ^ [_205418, _205420, _205422, _205424, _205426, _205428] : [-(tptp_update2(_205428, _205424, _205420) = tptp_update2(_205426, _205422, _205418)), _205428 = _205426, _205424 = _205422, _205420 = _205418], (248 ^ _197063) ^ [_205878, _205880] : [_205880 = _205878, -(succ(_205880) = succ(_205878))], (254 ^ _197063) ^ [_206104, _206106, _206108, _206110] : [-(minus(_206110, _206106) = minus(_206108, _206104)), _206110 = _206108, _206106 = _206104], (869 ^ _197063) ^ [] : [-(gt(n5, n4))], (871 ^ _197063) ^ [] : [-(gt(n135300, n4))], (873 ^ _197063) ^ [] : [-(gt(n135300, n5))], (875 ^ _197063) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _197063) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _197063) ^ [] : [-(gt(n135300, tptp_minus_1))], (881 ^ _197063) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _197063) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _197063) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _197063) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _197063) ^ [] : [-(gt(n4, n0))], (891 ^ _197063) ^ [] : [-(gt(n5, n0))], (893 ^ _197063) ^ [] : [-(gt(n135300, n0))], (895 ^ _197063) ^ [] : [-(gt(n1, n0))], (897 ^ _197063) ^ [] : [-(gt(n2, n0))], (899 ^ _197063) ^ [] : [-(gt(n3, n0))], (901 ^ _197063) ^ [] : [-(gt(n4, n1))], (903 ^ _197063) ^ [] : [-(gt(n5, n1))], (905 ^ _197063) ^ [] : [-(gt(n135300, n1))], (907 ^ _197063) ^ [] : [-(gt(n2, n1))], (909 ^ _197063) ^ [] : [-(gt(n3, n1))], (911 ^ _197063) ^ [] : [-(gt(n4, n2))], (913 ^ _197063) ^ [] : [-(gt(n5, n2))], (915 ^ _197063) ^ [] : [-(gt(n135300, n2))], (917 ^ _197063) ^ [] : [-(gt(n3, n2))], (919 ^ _197063) ^ [] : [-(gt(n4, n3))], (921 ^ _197063) ^ [] : [-(gt(n5, n3))], (923 ^ _197063) ^ [] : [-(gt(n135300, n3))], (925 ^ _197063) ^ [_233944] : [leq(n0, _233944), leq(_233944, n4), -(_233944 = n0), -(_233944 = n1), -(_233944 = n2), -(_233944 = n3), -(_233944 = n4)], (951 ^ _197063) ^ [_234565] : [leq(n0, _234565), leq(_234565, n5), -(_234565 = n0), -(_234565 = n1), -(_234565 = n2), -(_234565 = n3), -(_234565 = n4), -(_234565 = n5)], (981 ^ _197063) ^ [_235272] : [-(_235272 = n0), leq(n0, _235272), leq(_235272, n0)], (991 ^ _197063) ^ [_235547] : [leq(n0, _235547), leq(_235547, n1), -(_235547 = n0), -(_235547 = n1)], (1005 ^ _197063) ^ [_235910] : [leq(n0, _235910), leq(_235910, n2), -(_235910 = n0), -(_235910 = n1), -(_235910 = n2)], (1045 ^ _197063) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _197063) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _197063) ^ [] : [-(succ(n0) = n1)], (1051 ^ _197063) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _197063) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _197063) ^ [_236359] : [leq(n0, _236359), leq(_236359, n3), -(_236359 = n0), -(_236359 = n1), -(_236359 = n2), -(_236359 = n3)], (264 ^ _197063) ^ [_206535, _206537] : [-(gt(_206537, _206535)), -(gt(_206535, _206537)), -(_206537 = _206535)], (274 ^ _197063) ^ [_206850, _206852, _206854] : [-(gt(_206854, _206850)), gt(_206854, _206852), gt(_206852, _206850)], (284 ^ _197063) ^ [_207129] : [gt(_207129, _207129)], (286 ^ _197063) ^ [_207207] : [-(leq(_207207, _207207))], (288 ^ _197063) ^ [_207328, _207330, _207332] : [-(leq(_207332, _207328)), leq(_207332, _207330), leq(_207330, _207328)], (298 ^ _197063) ^ [_207666, _207668] : [lt(_207668, _207666), -(gt(_207666, _207668))], (304 ^ _197063) ^ [_207828, _207830] : [gt(_207828, _207830), -(lt(_207830, _207828))], (310 ^ _197063) ^ [_208069, _208071] : [geq(_208071, _208069), -(leq(_208069, _208071))], (316 ^ _197063) ^ [_208231, _208233] : [leq(_208231, _208233), -(geq(_208233, _208231))], (322 ^ _197063) ^ [_208443, _208445] : [gt(_208443, _208445), -(leq(_208445, _208443))], (328 ^ _197063) ^ [_208653, _208655] : [-(gt(_208653, _208655)), leq(_208655, _208653), -(_208655 = _208653)], (338 ^ _197063) ^ [_208984, _208986] : [leq(_208986, pred(_208984)), -(gt(_208984, _208986))], (344 ^ _197063) ^ [_209150, _209152] : [gt(_209150, _209152), -(leq(_209152, pred(_209150)))], (350 ^ _197063) ^ [_209337] : [-(gt(succ(_209337), _209337))], (352 ^ _197063) ^ [_209446, _209448] : [leq(_209448, _209446), -(leq(_209448, succ(_209446)))], (358 ^ _197063) ^ [_209689, _209691] : [leq(_209691, _209689), -(gt(succ(_209689), _209691))], (364 ^ _197063) ^ [_209855, _209857] : [gt(succ(_209855), _209857), -(leq(_209857, _209855))], (370 ^ _197063) ^ [_210071, _210073] : [leq(n0, _210073), -(leq(uniform_int_rnd(_210071, _210073), _210073))], (376 ^ _197063) ^ [_210287, _210289] : [leq(n0, _210289), -(leq(n0, uniform_int_rnd(_210287, _210289)))], (382 ^ _197063) ^ [_210531, _210533, _210535, _210537] : [-(a_select2(tptp_const_array1(dim(_210535, _210533), _210531), _210537) = _210531), leq(_210535, _210537), leq(_210537, _210533)], (392 ^ _197063) ^ [_210938, _210940, _210942, _210944, _210946, _210948, _210950] : [-(a_select3(tptp_const_array2(dim(_210948, _210946), dim(_210942, _210940), _210938), _210950, _210944) = _210938), leq(_210948, _210950), leq(_210950, _210946), leq(_210942, _210944), leq(_210944, _210940)], (410 ^ _197063) ^ [_211533, _211535] : [413 ^ _197063 : [(414 ^ _197063) ^ [] : [-(leq(n0, 411 ^ [_211533, _211535]))], (416 ^ _197063) ^ [] : [-(leq(411 ^ [_211533, _211535], _211533))], (418 ^ _197063) ^ [] : [-(leq(n0, 412 ^ [_211533, _211535]))], (420 ^ _197063) ^ [] : [-(leq(412 ^ [_211533, _211535], _211533))], (422 ^ _197063) ^ [] : [a_select3(_211535, 411 ^ [_211533, _211535], 412 ^ [_211533, _211535]) = a_select3(_211535, 412 ^ [_211533, _211535], 411 ^ [_211533, _211535])]], 423 ^ _197063 : [(424 ^ _197063) ^ [_212290, _212292] : [-(a_select3(trans(_211535), _212292, _212290) = a_select3(trans(_211535), _212290, _212292)), leq(n0, _212292), leq(_212292, _211533), leq(n0, _212290), leq(_212290, _211533)]]], (442 ^ _197063) ^ [_212837, _212839] : [445 ^ _197063 : [(446 ^ _197063) ^ [] : [-(leq(n0, 443 ^ [_212837, _212839]))], (448 ^ _197063) ^ [] : [-(leq(443 ^ [_212837, _212839], _212837))], (450 ^ _197063) ^ [] : [-(leq(n0, 444 ^ [_212837, _212839]))], (452 ^ _197063) ^ [] : [-(leq(444 ^ [_212837, _212839], _212837))], (454 ^ _197063) ^ [] : [a_select3(_212839, 443 ^ [_212837, _212839], 444 ^ [_212837, _212839]) = a_select3(_212839, 444 ^ [_212837, _212839], 443 ^ [_212837, _212839])]], 455 ^ _197063 : [(456 ^ _197063) ^ [_213594, _213596] : [-(a_select3(inv(_212839), _213596, _213594) = a_select3(inv(_212839), _213594, _213596)), leq(n0, _213596), leq(_213596, _212837), leq(n0, _213594), leq(_213594, _212837)]]], (474 ^ _197063) ^ [_214141, _214143] : [477 ^ _197063 : [(478 ^ _197063) ^ [] : [-(leq(n0, 475 ^ [_214141, _214143]))], (480 ^ _197063) ^ [] : [-(leq(475 ^ [_214141, _214143], _214141))], (482 ^ _197063) ^ [] : [-(leq(n0, 476 ^ [_214141, _214143]))], (484 ^ _197063) ^ [] : [-(leq(476 ^ [_214141, _214143], _214141))], (486 ^ _197063) ^ [] : [a_select3(_214143, 475 ^ [_214141, _214143], 476 ^ [_214141, _214143]) = a_select3(_214143, 476 ^ [_214141, _214143], 475 ^ [_214141, _214143])]], 487 ^ _197063 : [(488 ^ _197063) ^ [_214954, _214956, _214958, _214960] : [-(a_select3(tptp_update3(_214143, _214956, _214956, _214954), _214960, _214958) = a_select3(tptp_update3(_214143, _214956, _214956, _214954), _214958, _214960)), leq(n0, _214960), leq(_214960, _214141), leq(n0, _214958), leq(_214958, _214141), leq(n0, _214956), leq(_214956, _214141)]]], (514 ^ _197063) ^ [_215773, _215775, _215777] : [519 ^ _197063 : [(520 ^ _197063) ^ [] : [-(leq(n0, 517 ^ [_215773, _215775, _215777]))], (522 ^ _197063) ^ [] : [-(leq(517 ^ [_215773, _215775, _215777], _215773))], (524 ^ _197063) ^ [] : [-(leq(n0, 518 ^ [_215773, _215775, _215777]))], (526 ^ _197063) ^ [] : [-(leq(518 ^ [_215773, _215775, _215777], _215773))], (528 ^ _197063) ^ [] : [a_select3(_215777, 517 ^ [_215773, _215775, _215777], 518 ^ [_215773, _215775, _215777]) = a_select3(_215777, 518 ^ [_215773, _215775, _215777], 517 ^ [_215773, _215775, _215777])]], 531 ^ _197063 : [(532 ^ _197063) ^ [] : [-(leq(n0, 529 ^ [_215773, _215775, _215777]))], (534 ^ _197063) ^ [] : [-(leq(529 ^ [_215773, _215775, _215777], _215773))], (536 ^ _197063) ^ [] : [-(leq(n0, 530 ^ [_215773, _215775, _215777]))], (538 ^ _197063) ^ [] : [-(leq(530 ^ [_215773, _215775, _215777], _215773))], (540 ^ _197063) ^ [] : [a_select3(_215775, 529 ^ [_215773, _215775, _215777], 530 ^ [_215773, _215775, _215777]) = a_select3(_215775, 530 ^ [_215773, _215775, _215777], 529 ^ [_215773, _215775, _215777])]], 541 ^ _197063 : [(542 ^ _197063) ^ [_217282, _217284] : [-(a_select3(tptp_madd(_215777, _215775), _217284, _217282) = a_select3(tptp_madd(_215777, _215775), _217282, _217284)), leq(n0, _217284), leq(_217284, _215773), leq(n0, _217282), leq(_217282, _215773)]]], (560 ^ _197063) ^ [_217868, _217870, _217872] : [565 ^ _197063 : [(566 ^ _197063) ^ [] : [-(leq(n0, 563 ^ [_217868, _217870, _217872]))], (568 ^ _197063) ^ [] : [-(leq(563 ^ [_217868, _217870, _217872], _217868))], (570 ^ _197063) ^ [] : [-(leq(n0, 564 ^ [_217868, _217870, _217872]))], (572 ^ _197063) ^ [] : [-(leq(564 ^ [_217868, _217870, _217872], _217868))], (574 ^ _197063) ^ [] : [a_select3(_217872, 563 ^ [_217868, _217870, _217872], 564 ^ [_217868, _217870, _217872]) = a_select3(_217872, 564 ^ [_217868, _217870, _217872], 563 ^ [_217868, _217870, _217872])]], 577 ^ _197063 : [(578 ^ _197063) ^ [] : [-(leq(n0, 575 ^ [_217868, _217870, _217872]))], (580 ^ _197063) ^ [] : [-(leq(575 ^ [_217868, _217870, _217872], _217868))], (582 ^ _197063) ^ [] : [-(leq(n0, 576 ^ [_217868, _217870, _217872]))], (584 ^ _197063) ^ [] : [-(leq(576 ^ [_217868, _217870, _217872], _217868))], (586 ^ _197063) ^ [] : [a_select3(_217870, 575 ^ [_217868, _217870, _217872], 576 ^ [_217868, _217870, _217872]) = a_select3(_217870, 576 ^ [_217868, _217870, _217872], 575 ^ [_217868, _217870, _217872])]], 587 ^ _197063 : [(588 ^ _197063) ^ [_219377, _219379] : [-(a_select3(tptp_msub(_217872, _217870), _219379, _219377) = a_select3(tptp_msub(_217872, _217870), _219377, _219379)), leq(n0, _219379), leq(_219379, _217868), leq(n0, _219377), leq(_219377, _217868)]]], (606 ^ _197063) ^ [_219963, _219965, _219967] : [609 ^ _197063 : [(610 ^ _197063) ^ [] : [-(leq(n0, 607 ^ [_219963, _219965, _219967]))], (612 ^ _197063) ^ [] : [-(leq(607 ^ [_219963, _219965, _219967], _219963))], (614 ^ _197063) ^ [] : [-(leq(n0, 608 ^ [_219963, _219965, _219967]))], (616 ^ _197063) ^ [] : [-(leq(608 ^ [_219963, _219965, _219967], _219963))], (618 ^ _197063) ^ [] : [a_select3(_219965, 607 ^ [_219963, _219965, _219967], 608 ^ [_219963, _219965, _219967]) = a_select3(_219965, 608 ^ [_219963, _219965, _219967], 607 ^ [_219963, _219965, _219967])]], 619 ^ _197063 : [(620 ^ _197063) ^ [_220776, _220778] : [-(a_select3(tptp_mmul(_219967, tptp_mmul(_219965, trans(_219967))), _220778, _220776) = a_select3(tptp_mmul(_219967, tptp_mmul(_219965, trans(_219967))), _220776, _220778)), leq(n0, _220778), leq(_220778, _219963), leq(n0, _220776), leq(_220776, _219963)]]], (638 ^ _197063) ^ [_221395, _221397, _221399, _221401] : [641 ^ _197063 : [(642 ^ _197063) ^ [] : [-(leq(n0, 639 ^ [_221395, _221397, _221399, _221401]))], (644 ^ _197063) ^ [] : [-(leq(639 ^ [_221395, _221397, _221399, _221401], _221395))], (646 ^ _197063) ^ [] : [-(leq(n0, 640 ^ [_221395, _221397, _221399, _221401]))], (648 ^ _197063) ^ [] : [-(leq(640 ^ [_221395, _221397, _221399, _221401], _221395))], (650 ^ _197063) ^ [] : [a_select3(_221399, 639 ^ [_221395, _221397, _221399, _221401], 640 ^ [_221395, _221397, _221399, _221401]) = a_select3(_221399, 640 ^ [_221395, _221397, _221399, _221401], 639 ^ [_221395, _221397, _221399, _221401])]], 651 ^ _197063 : [(652 ^ _197063) ^ [_222252, _222254] : [-(a_select3(tptp_mmul(_221401, tptp_mmul(_221399, trans(_221401))), _222254, _222252) = a_select3(tptp_mmul(_221401, tptp_mmul(_221399, trans(_221401))), _222252, _222254)), leq(n0, _222254), leq(_222254, _221397), leq(n0, _222252), leq(_222252, _221397)]]], (670 ^ _197063) ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961] : [675 ^ _197063 : [(676 ^ _197063) ^ [] : [-(leq(n0, 673 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (678 ^ _197063) ^ [] : [-(leq(673 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222947))], (680 ^ _197063) ^ [] : [-(leq(n0, 674 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (682 ^ _197063) ^ [] : [-(leq(674 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222947))], (684 ^ _197063) ^ [] : [a_select3(_222955, 673 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 674 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]) = a_select3(_222955, 674 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 673 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961])]], 689 ^ _197063 : [(690 ^ _197063) ^ [] : [-(leq(n0, 687 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (692 ^ _197063) ^ [] : [-(leq(687 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222949))], (694 ^ _197063) ^ [] : [-(leq(n0, 688 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (696 ^ _197063) ^ [] : [-(leq(688 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222949))], (698 ^ _197063) ^ [] : [a_select3(_222961, 687 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 688 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]) = a_select3(_222961, 688 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 687 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961])]], 701 ^ _197063 : [(702 ^ _197063) ^ [] : [-(leq(n0, 699 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (704 ^ _197063) ^ [] : [-(leq(699 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222949))], (706 ^ _197063) ^ [] : [-(leq(n0, 700 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]))], (708 ^ _197063) ^ [] : [-(leq(700 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], _222949))], (710 ^ _197063) ^ [] : [a_select3(_222951, 699 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 700 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961]) = a_select3(_222951, 700 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961], 699 ^ [_222947, _222949, _222951, _222953, _222955, _222957, _222959, _222961])]], 711 ^ _197063 : [(712 ^ _197063) ^ [_225875, _225877] : [-(a_select3(tptp_madd(_222961, tptp_mmul(_222959, tptp_mmul(tptp_madd(tptp_mmul(_222957, tptp_mmul(_222955, trans(_222957))), tptp_mmul(_222953, tptp_mmul(_222951, trans(_222953)))), trans(_222959)))), _225877, _225875) = a_select3(tptp_madd(_222961, tptp_mmul(_222959, tptp_mmul(tptp_madd(tptp_mmul(_222957, tptp_mmul(_222955, trans(_222957))), tptp_mmul(_222953, tptp_mmul(_222951, trans(_222953)))), trans(_222959)))), _225875, _225877)), leq(n0, _225877), leq(_225877, _222949), leq(n0, _225875), leq(_225875, _222949)]]], (730 ^ _197063) ^ [_226628] : [-(sum(n0, tptp_minus_1, _226628) = n0)], (732 ^ _197063) ^ [_226710] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226710))], (734 ^ _197063) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _197063) ^ [_226845] : [-(plus(_226845, n1) = succ(_226845))], (738 ^ _197063) ^ [_226928] : [-(plus(n1, _226928) = succ(_226928))], (740 ^ _197063) ^ [_227011] : [-(plus(_227011, n2) = succ(succ(_227011)))], (742 ^ _197063) ^ [_227096] : [-(plus(n2, _227096) = succ(succ(_227096)))], (744 ^ _197063) ^ [_227181] : [-(plus(_227181, n3) = succ(succ(succ(_227181))))], (746 ^ _197063) ^ [_227268] : [-(plus(n3, _227268) = succ(succ(succ(_227268))))], (748 ^ _197063) ^ [_227355] : [-(plus(_227355, n4) = succ(succ(succ(succ(_227355)))))], (750 ^ _197063) ^ [_227444] : [-(plus(n4, _227444) = succ(succ(succ(succ(_227444)))))], (752 ^ _197063) ^ [_227533] : [-(plus(_227533, n5) = succ(succ(succ(succ(succ(_227533))))))], (754 ^ _197063) ^ [_227624] : [-(plus(n5, _227624) = succ(succ(succ(succ(succ(_227624))))))], (756 ^ _197063) ^ [_227715] : [-(minus(_227715, n1) = pred(_227715))], (758 ^ _197063) ^ [_227798] : [-(pred(succ(_227798)) = _227798)], (760 ^ _197063) ^ [_227880] : [-(succ(pred(_227880)) = _227880)], (762 ^ _197063) ^ [_228020, _228022] : [leq(succ(_228022), succ(_228020)), -(leq(_228022, _228020))], (768 ^ _197063) ^ [_228190, _228192] : [leq(_228192, _228190), -(leq(succ(_228192), succ(_228190)))], (774 ^ _197063) ^ [_228410, _228412] : [leq(succ(_228412), _228410), -(gt(_228410, _228412))], (780 ^ _197063) ^ [_228624, _228626] : [leq(minus(_228626, _228624), _228626), -(leq(n0, _228624))], (786 ^ _197063) ^ [_228853, _228855, _228857, _228859] : [-(a_select3(tptp_update3(_228859, _228857, _228855, _228853), _228857, _228855) = _228853)], (788 ^ _197063) ^ [_229045, _229047, _229049, _229051, _229053, _229055, _229057] : [-(a_select3(tptp_update3(_229049, _229057, _229055, _229045), _229053, _229051) = _229047), -(_229057 = _229053), _229055 = _229051, a_select3(_229049, _229053, _229051) = _229047], (802 ^ _197063) ^ [_229588, _229590, _229592, _229594, _229596, _229598] : [-(a_select3(tptp_update3(_229590, _229594, _229592, _229588), _229598, _229596) = _229588), 807 ^ _197063 : [(808 ^ _197063) ^ [] : [-(leq(n0, 805 ^ [_229588, _229590, _229592, _229594, _229596, _229598]))], (810 ^ _197063) ^ [] : [-(leq(n0, 806 ^ [_229588, _229590, _229592, _229594, _229596, _229598]))], (812 ^ _197063) ^ [] : [-(leq(805 ^ [_229588, _229590, _229592, _229594, _229596, _229598], _229594))], (814 ^ _197063) ^ [] : [-(leq(806 ^ [_229588, _229590, _229592, _229594, _229596, _229598], _229592))], (816 ^ _197063) ^ [] : [a_select3(_229590, 805 ^ [_229588, _229590, _229592, _229594, _229596, _229598], 806 ^ [_229588, _229590, _229592, _229594, _229596, _229598]) = _229588]], leq(n0, _229598), leq(_229598, _229594), leq(n0, _229596), leq(_229596, _229592)], (834 ^ _197063) ^ [_230930, _230932, _230934] : [-(a_select2(tptp_update2(_230934, _230932, _230930), _230932) = _230930)], (836 ^ _197063) ^ [_231090, _231092, _231094, _231096, _231098] : [-(a_select2(tptp_update2(_231094, _231098, _231090), _231096) = _231092), -(_231098 = _231096), a_select2(_231094, _231096) = _231092], (865 ^ _197063) ^ [] : [-(true)], (867 ^ _197063) ^ [] : [def = use], (846 ^ _197063) ^ [_231470, _231472, _231474, _231476] : [-(a_select2(tptp_update2(_231472, _231474, _231470), _231476) = _231470), 850 ^ _197063 : [(851 ^ _197063) ^ [] : [-(leq(n0, 849 ^ [_231470, _231472, _231474, _231476]))], (853 ^ _197063) ^ [] : [-(leq(849 ^ [_231470, _231472, _231474, _231476], _231474))], (855 ^ _197063) ^ [] : [a_select2(_231472, 849 ^ [_231470, _231472, _231474, _231476]) = _231470]], leq(n0, _231476), leq(_231476, _231474)]], input).
% 0.36/1.41  ncf('1',plain,[leq(n0, pv10), leq(pv10, minus(n135300, n1))],start(1059 ^ 0)).
% 0.36/1.41  ncf('1.1',plain,[-(leq(n0, pv10))],extension(1055 ^ 1)).
% 0.36/1.41  ncf('1.2',plain,[-(leq(pv10, minus(n135300, n1)))],extension(1057 ^ 1)).
% 0.36/1.41  %-----------------------------------------------------
% 0.36/1.41  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------