%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV146+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 12:20:03 EDT 2023
% Result : Theorem 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV146+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 02:16:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.33/1.40
% 0.33/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.40 ncf(matrix, plain, [(1041 ^ _194563) ^ [] : [leq(tptp_float_0_001, tptp_float_0_001)], (1043 ^ _194563) ^ [] : [leq(n0, s_sworst7)], (2 ^ _194563) ^ [_194707] : [-(_194707 = _194707)], (4 ^ _194563) ^ [_194814, _194816] : [_194816 = _194814, -(_194814 = _194816)], (10 ^ _194563) ^ [_195018, _195020, _195022] : [-(_195022 = _195018), _195022 = _195020, _195020 = _195018], (20 ^ _194563) ^ [_195359, _195361, _195363, _195365] : [-(lt(_195363, _195359)), lt(_195365, _195361), _195365 = _195363, _195361 = _195359], (34 ^ _194563) ^ [_195803, _195805, _195807, _195809] : [-(geq(_195807, _195803)), geq(_195809, _195805), _195809 = _195807, _195805 = _195803], (48 ^ _194563) ^ [_196247, _196249, _196251, _196253] : [-(gt(_196251, _196247)), gt(_196253, _196249), _196253 = _196251, _196249 = _196247], (62 ^ _194563) ^ [_196671, _196673, _196675, _196677] : [-(leq(_196675, _196671)), leq(_196677, _196673), _196677 = _196675, _196673 = _196671], (76 ^ _194563) ^ [_197127, _197129, _197131, _197133] : [-(uniform_int_rnd(_197133, _197129) = uniform_int_rnd(_197131, _197127)), _197133 = _197131, _197129 = _197127], (86 ^ _194563) ^ [_197486, _197488, _197490, _197492] : [-(tptp_const_array1(_197492, _197488) = tptp_const_array1(_197490, _197486)), _197492 = _197490, _197488 = _197486], (96 ^ _194563) ^ [_197873, _197875, _197877, _197879, _197881, _197883] : [-(tptp_const_array2(_197883, _197879, _197875) = tptp_const_array2(_197881, _197877, _197873)), _197883 = _197881, _197879 = _197877, _197875 = _197873], (110 ^ _194563) ^ [_198361, _198363, _198365, _198367] : [-(dim(_198367, _198363) = dim(_198365, _198361)), _198367 = _198365, _198363 = _198361], (120 ^ _194563) ^ [_198692, _198694] : [_198694 = _198692, -(inv(_198694) = inv(_198692))], (126 ^ _194563) ^ [_198938, _198940, _198942, _198944] : [-(tptp_msub(_198944, _198940) = tptp_msub(_198942, _198938)), _198944 = _198942, _198940 = _198938], (136 ^ _194563) ^ [_199297, _199299, _199301, _199303] : [-(tptp_madd(_199303, _199299) = tptp_madd(_199301, _199297)), _199303 = _199301, _199299 = _199297], (146 ^ _194563) ^ [_199656, _199658, _199660, _199662] : [-(tptp_mmul(_199662, _199658) = tptp_mmul(_199660, _199656)), _199662 = _199660, _199658 = _199656], (156 ^ _194563) ^ [_199987, _199989] : [_199989 = _199987, -(trans(_199989) = trans(_199987))], (162 ^ _194563) ^ [_200261, _200263, _200265, _200267, _200269, _200271] : [-(sum(_200271, _200267, _200263) = sum(_200269, _200265, _200261)), _200271 = _200269, _200267 = _200265, _200263 = _200261], (176 ^ _194563) ^ [_200749, _200751, _200753, _200755] : [-(plus(_200755, _200751) = plus(_200753, _200749)), _200755 = _200753, _200751 = _200749], (186 ^ _194563) ^ [_201080, _201082] : [_201082 = _201080, -(pred(_201082) = pred(_201080))], (192 ^ _194563) ^ [_201326, _201328, _201330, _201332] : [-(minus(_201332, _201328) = minus(_201330, _201326)), _201332 = _201330, _201328 = _201326], (202 ^ _194563) ^ [_201713, _201715, _201717, _201719, _201721, _201723] : [-(a_select3(_201723, _201719, _201715) = a_select3(_201721, _201717, _201713)), _201723 = _201721, _201719 = _201717, _201715 = _201713], (216 ^ _194563) ^ [_202257, _202259, _202261, _202263, _202265, _202267, _202269, _202271] : [-(tptp_update3(_202271, _202267, _202263, _202259) = tptp_update3(_202269, _202265, _202261, _202257)), _202271 = _202269, _202267 = _202265, _202263 = _202261, _202259 = _202257], (234 ^ _194563) ^ [_202890, _202892, _202894, _202896] : [-(a_select2(_202896, _202892) = a_select2(_202894, _202890)), _202896 = _202894, _202892 = _202890], (258 ^ _194563) ^ [_203717, _203719] : [_203719 = _203717, -(succ(_203719) = succ(_203717))], (244 ^ _194563) ^ [_203277, _203279, _203281, _203283, _203285, _203287] : [-(tptp_update2(_203287, _203283, _203279) = tptp_update2(_203285, _203281, _203277)), _203287 = _203285, _203283 = _203281, _203279 = _203277], (869 ^ _194563) ^ [] : [-(gt(n5, n4))], (871 ^ _194563) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _194563) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _194563) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _194563) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _194563) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _194563) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _194563) ^ [] : [-(gt(n4, n0))], (885 ^ _194563) ^ [] : [-(gt(n5, n0))], (887 ^ _194563) ^ [] : [-(gt(n1, n0))], (889 ^ _194563) ^ [] : [-(gt(n2, n0))], (891 ^ _194563) ^ [] : [-(gt(n3, n0))], (893 ^ _194563) ^ [] : [-(gt(n4, n1))], (895 ^ _194563) ^ [] : [-(gt(n5, n1))], (897 ^ _194563) ^ [] : [-(gt(n2, n1))], (899 ^ _194563) ^ [] : [-(gt(n3, n1))], (901 ^ _194563) ^ [] : [-(gt(n4, n2))], (903 ^ _194563) ^ [] : [-(gt(n5, n2))], (905 ^ _194563) ^ [] : [-(gt(n3, n2))], (907 ^ _194563) ^ [] : [-(gt(n4, n3))], (909 ^ _194563) ^ [] : [-(gt(n5, n3))], (911 ^ _194563) ^ [_231073] : [leq(n0, _231073), leq(_231073, n4), -(_231073 = n0), -(_231073 = n1), -(_231073 = n2), -(_231073 = n3), -(_231073 = n4)], (937 ^ _194563) ^ [_231694] : [leq(n0, _231694), leq(_231694, n5), -(_231694 = n0), -(_231694 = n1), -(_231694 = n2), -(_231694 = n3), -(_231694 = n4), -(_231694 = n5)], (967 ^ _194563) ^ [_232401] : [-(_232401 = n0), leq(n0, _232401), leq(_232401, n0)], (977 ^ _194563) ^ [_232676] : [leq(n0, _232676), leq(_232676, n1), -(_232676 = n0), -(_232676 = n1)], (991 ^ _194563) ^ [_233039] : [leq(n0, _233039), leq(_233039, n2), -(_233039 = n0), -(_233039 = n1), -(_233039 = n2)], (1031 ^ _194563) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _194563) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _194563) ^ [] : [-(succ(n0) = n1)], (1037 ^ _194563) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _194563) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _194563) ^ [_233488] : [leq(n0, _233488), leq(_233488, n3), -(_233488 = n0), -(_233488 = n1), -(_233488 = n2), -(_233488 = n3)], (264 ^ _194563) ^ [_204035, _204037] : [-(gt(_204037, _204035)), -(gt(_204035, _204037)), -(_204037 = _204035)], (274 ^ _194563) ^ [_204350, _204352, _204354] : [-(gt(_204354, _204350)), gt(_204354, _204352), gt(_204352, _204350)], (284 ^ _194563) ^ [_204629] : [gt(_204629, _204629)], (286 ^ _194563) ^ [_204707] : [-(leq(_204707, _204707))], (288 ^ _194563) ^ [_204828, _204830, _204832] : [-(leq(_204832, _204828)), leq(_204832, _204830), leq(_204830, _204828)], (298 ^ _194563) ^ [_205166, _205168] : [lt(_205168, _205166), -(gt(_205166, _205168))], (304 ^ _194563) ^ [_205328, _205330] : [gt(_205328, _205330), -(lt(_205330, _205328))], (310 ^ _194563) ^ [_205569, _205571] : [geq(_205571, _205569), -(leq(_205569, _205571))], (316 ^ _194563) ^ [_205731, _205733] : [leq(_205731, _205733), -(geq(_205733, _205731))], (322 ^ _194563) ^ [_205943, _205945] : [gt(_205943, _205945), -(leq(_205945, _205943))], (328 ^ _194563) ^ [_206153, _206155] : [-(gt(_206153, _206155)), leq(_206155, _206153), -(_206155 = _206153)], (338 ^ _194563) ^ [_206484, _206486] : [leq(_206486, pred(_206484)), -(gt(_206484, _206486))], (344 ^ _194563) ^ [_206650, _206652] : [gt(_206650, _206652), -(leq(_206652, pred(_206650)))], (350 ^ _194563) ^ [_206837] : [-(gt(succ(_206837), _206837))], (352 ^ _194563) ^ [_206946, _206948] : [leq(_206948, _206946), -(leq(_206948, succ(_206946)))], (358 ^ _194563) ^ [_207189, _207191] : [leq(_207191, _207189), -(gt(succ(_207189), _207191))], (364 ^ _194563) ^ [_207355, _207357] : [gt(succ(_207355), _207357), -(leq(_207357, _207355))], (370 ^ _194563) ^ [_207571, _207573] : [leq(n0, _207573), -(leq(uniform_int_rnd(_207571, _207573), _207573))], (376 ^ _194563) ^ [_207787, _207789] : [leq(n0, _207789), -(leq(n0, uniform_int_rnd(_207787, _207789)))], (382 ^ _194563) ^ [_208031, _208033, _208035, _208037] : [-(a_select2(tptp_const_array1(dim(_208035, _208033), _208031), _208037) = _208031), leq(_208035, _208037), leq(_208037, _208033)], (392 ^ _194563) ^ [_208438, _208440, _208442, _208444, _208446, _208448, _208450] : [-(a_select3(tptp_const_array2(dim(_208448, _208446), dim(_208442, _208440), _208438), _208450, _208444) = _208438), leq(_208448, _208450), leq(_208450, _208446), leq(_208442, _208444), leq(_208444, _208440)], (410 ^ _194563) ^ [_209033, _209035] : [413 ^ _194563 : [(414 ^ _194563) ^ [] : [-(leq(n0, 411 ^ [_209033, _209035]))], (416 ^ _194563) ^ [] : [-(leq(411 ^ [_209033, _209035], _209033))], (418 ^ _194563) ^ [] : [-(leq(n0, 412 ^ [_209033, _209035]))], (420 ^ _194563) ^ [] : [-(leq(412 ^ [_209033, _209035], _209033))], (422 ^ _194563) ^ [] : [a_select3(_209035, 411 ^ [_209033, _209035], 412 ^ [_209033, _209035]) = a_select3(_209035, 412 ^ [_209033, _209035], 411 ^ [_209033, _209035])]], 423 ^ _194563 : [(424 ^ _194563) ^ [_209790, _209792] : [-(a_select3(trans(_209035), _209792, _209790) = a_select3(trans(_209035), _209790, _209792)), leq(n0, _209792), leq(_209792, _209033), leq(n0, _209790), leq(_209790, _209033)]]], (442 ^ _194563) ^ [_210337, _210339] : [445 ^ _194563 : [(446 ^ _194563) ^ [] : [-(leq(n0, 443 ^ [_210337, _210339]))], (448 ^ _194563) ^ [] : [-(leq(443 ^ [_210337, _210339], _210337))], (450 ^ _194563) ^ [] : [-(leq(n0, 444 ^ [_210337, _210339]))], (452 ^ _194563) ^ [] : [-(leq(444 ^ [_210337, _210339], _210337))], (454 ^ _194563) ^ [] : [a_select3(_210339, 443 ^ [_210337, _210339], 444 ^ [_210337, _210339]) = a_select3(_210339, 444 ^ [_210337, _210339], 443 ^ [_210337, _210339])]], 455 ^ _194563 : [(456 ^ _194563) ^ [_211094, _211096] : [-(a_select3(inv(_210339), _211096, _211094) = a_select3(inv(_210339), _211094, _211096)), leq(n0, _211096), leq(_211096, _210337), leq(n0, _211094), leq(_211094, _210337)]]], (474 ^ _194563) ^ [_211641, _211643] : [477 ^ _194563 : [(478 ^ _194563) ^ [] : [-(leq(n0, 475 ^ [_211641, _211643]))], (480 ^ _194563) ^ [] : [-(leq(475 ^ [_211641, _211643], _211641))], (482 ^ _194563) ^ [] : [-(leq(n0, 476 ^ [_211641, _211643]))], (484 ^ _194563) ^ [] : [-(leq(476 ^ [_211641, _211643], _211641))], (486 ^ _194563) ^ [] : [a_select3(_211643, 475 ^ [_211641, _211643], 476 ^ [_211641, _211643]) = a_select3(_211643, 476 ^ [_211641, _211643], 475 ^ [_211641, _211643])]], 487 ^ _194563 : [(488 ^ _194563) ^ [_212454, _212456, _212458, _212460] : [-(a_select3(tptp_update3(_211643, _212456, _212456, _212454), _212460, _212458) = a_select3(tptp_update3(_211643, _212456, _212456, _212454), _212458, _212460)), leq(n0, _212460), leq(_212460, _211641), leq(n0, _212458), leq(_212458, _211641), leq(n0, _212456), leq(_212456, _211641)]]], (514 ^ _194563) ^ [_213273, _213275, _213277] : [519 ^ _194563 : [(520 ^ _194563) ^ [] : [-(leq(n0, 517 ^ [_213273, _213275, _213277]))], (522 ^ _194563) ^ [] : [-(leq(517 ^ [_213273, _213275, _213277], _213273))], (524 ^ _194563) ^ [] : [-(leq(n0, 518 ^ [_213273, _213275, _213277]))], (526 ^ _194563) ^ [] : [-(leq(518 ^ [_213273, _213275, _213277], _213273))], (528 ^ _194563) ^ [] : [a_select3(_213277, 517 ^ [_213273, _213275, _213277], 518 ^ [_213273, _213275, _213277]) = a_select3(_213277, 518 ^ [_213273, _213275, _213277], 517 ^ [_213273, _213275, _213277])]], 531 ^ _194563 : [(532 ^ _194563) ^ [] : [-(leq(n0, 529 ^ [_213273, _213275, _213277]))], (534 ^ _194563) ^ [] : [-(leq(529 ^ [_213273, _213275, _213277], _213273))], (536 ^ _194563) ^ [] : [-(leq(n0, 530 ^ [_213273, _213275, _213277]))], (538 ^ _194563) ^ [] : [-(leq(530 ^ [_213273, _213275, _213277], _213273))], (540 ^ _194563) ^ [] : [a_select3(_213275, 529 ^ [_213273, _213275, _213277], 530 ^ [_213273, _213275, _213277]) = a_select3(_213275, 530 ^ [_213273, _213275, _213277], 529 ^ [_213273, _213275, _213277])]], 541 ^ _194563 : [(542 ^ _194563) ^ [_214782, _214784] : [-(a_select3(tptp_madd(_213277, _213275), _214784, _214782) = a_select3(tptp_madd(_213277, _213275), _214782, _214784)), leq(n0, _214784), leq(_214784, _213273), leq(n0, _214782), leq(_214782, _213273)]]], (560 ^ _194563) ^ [_215368, _215370, _215372] : [565 ^ _194563 : [(566 ^ _194563) ^ [] : [-(leq(n0, 563 ^ [_215368, _215370, _215372]))], (568 ^ _194563) ^ [] : [-(leq(563 ^ [_215368, _215370, _215372], _215368))], (570 ^ _194563) ^ [] : [-(leq(n0, 564 ^ [_215368, _215370, _215372]))], (572 ^ _194563) ^ [] : [-(leq(564 ^ [_215368, _215370, _215372], _215368))], (574 ^ _194563) ^ [] : [a_select3(_215372, 563 ^ [_215368, _215370, _215372], 564 ^ [_215368, _215370, _215372]) = a_select3(_215372, 564 ^ [_215368, _215370, _215372], 563 ^ [_215368, _215370, _215372])]], 577 ^ _194563 : [(578 ^ _194563) ^ [] : [-(leq(n0, 575 ^ [_215368, _215370, _215372]))], (580 ^ _194563) ^ [] : [-(leq(575 ^ [_215368, _215370, _215372], _215368))], (582 ^ _194563) ^ [] : [-(leq(n0, 576 ^ [_215368, _215370, _215372]))], (584 ^ _194563) ^ [] : [-(leq(576 ^ [_215368, _215370, _215372], _215368))], (586 ^ _194563) ^ [] : [a_select3(_215370, 575 ^ [_215368, _215370, _215372], 576 ^ [_215368, _215370, _215372]) = a_select3(_215370, 576 ^ [_215368, _215370, _215372], 575 ^ [_215368, _215370, _215372])]], 587 ^ _194563 : [(588 ^ _194563) ^ [_216877, _216879] : [-(a_select3(tptp_msub(_215372, _215370), _216879, _216877) = a_select3(tptp_msub(_215372, _215370), _216877, _216879)), leq(n0, _216879), leq(_216879, _215368), leq(n0, _216877), leq(_216877, _215368)]]], (606 ^ _194563) ^ [_217463, _217465, _217467] : [609 ^ _194563 : [(610 ^ _194563) ^ [] : [-(leq(n0, 607 ^ [_217463, _217465, _217467]))], (612 ^ _194563) ^ [] : [-(leq(607 ^ [_217463, _217465, _217467], _217463))], (614 ^ _194563) ^ [] : [-(leq(n0, 608 ^ [_217463, _217465, _217467]))], (616 ^ _194563) ^ [] : [-(leq(608 ^ [_217463, _217465, _217467], _217463))], (618 ^ _194563) ^ [] : [a_select3(_217465, 607 ^ [_217463, _217465, _217467], 608 ^ [_217463, _217465, _217467]) = a_select3(_217465, 608 ^ [_217463, _217465, _217467], 607 ^ [_217463, _217465, _217467])]], 619 ^ _194563 : [(620 ^ _194563) ^ [_218276, _218278] : [-(a_select3(tptp_mmul(_217467, tptp_mmul(_217465, trans(_217467))), _218278, _218276) = a_select3(tptp_mmul(_217467, tptp_mmul(_217465, trans(_217467))), _218276, _218278)), leq(n0, _218278), leq(_218278, _217463), leq(n0, _218276), leq(_218276, _217463)]]], (638 ^ _194563) ^ [_218895, _218897, _218899, _218901] : [641 ^ _194563 : [(642 ^ _194563) ^ [] : [-(leq(n0, 639 ^ [_218895, _218897, _218899, _218901]))], (644 ^ _194563) ^ [] : [-(leq(639 ^ [_218895, _218897, _218899, _218901], _218895))], (646 ^ _194563) ^ [] : [-(leq(n0, 640 ^ [_218895, _218897, _218899, _218901]))], (648 ^ _194563) ^ [] : [-(leq(640 ^ [_218895, _218897, _218899, _218901], _218895))], (650 ^ _194563) ^ [] : [a_select3(_218899, 639 ^ [_218895, _218897, _218899, _218901], 640 ^ [_218895, _218897, _218899, _218901]) = a_select3(_218899, 640 ^ [_218895, _218897, _218899, _218901], 639 ^ [_218895, _218897, _218899, _218901])]], 651 ^ _194563 : [(652 ^ _194563) ^ [_219752, _219754] : [-(a_select3(tptp_mmul(_218901, tptp_mmul(_218899, trans(_218901))), _219754, _219752) = a_select3(tptp_mmul(_218901, tptp_mmul(_218899, trans(_218901))), _219752, _219754)), leq(n0, _219754), leq(_219754, _218897), leq(n0, _219752), leq(_219752, _218897)]]], (670 ^ _194563) ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461] : [675 ^ _194563 : [(676 ^ _194563) ^ [] : [-(leq(n0, 673 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (678 ^ _194563) ^ [] : [-(leq(673 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220447))], (680 ^ _194563) ^ [] : [-(leq(n0, 674 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (682 ^ _194563) ^ [] : [-(leq(674 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220447))], (684 ^ _194563) ^ [] : [a_select3(_220455, 673 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 674 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]) = a_select3(_220455, 674 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 673 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461])]], 689 ^ _194563 : [(690 ^ _194563) ^ [] : [-(leq(n0, 687 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (692 ^ _194563) ^ [] : [-(leq(687 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220449))], (694 ^ _194563) ^ [] : [-(leq(n0, 688 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (696 ^ _194563) ^ [] : [-(leq(688 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220449))], (698 ^ _194563) ^ [] : [a_select3(_220461, 687 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 688 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]) = a_select3(_220461, 688 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 687 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461])]], 701 ^ _194563 : [(702 ^ _194563) ^ [] : [-(leq(n0, 699 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (704 ^ _194563) ^ [] : [-(leq(699 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220449))], (706 ^ _194563) ^ [] : [-(leq(n0, 700 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]))], (708 ^ _194563) ^ [] : [-(leq(700 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], _220449))], (710 ^ _194563) ^ [] : [a_select3(_220451, 699 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 700 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461]) = a_select3(_220451, 700 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461], 699 ^ [_220447, _220449, _220451, _220453, _220455, _220457, _220459, _220461])]], 711 ^ _194563 : [(712 ^ _194563) ^ [_223375, _223377] : [-(a_select3(tptp_madd(_220461, tptp_mmul(_220459, tptp_mmul(tptp_madd(tptp_mmul(_220457, tptp_mmul(_220455, trans(_220457))), tptp_mmul(_220453, tptp_mmul(_220451, trans(_220453)))), trans(_220459)))), _223377, _223375) = a_select3(tptp_madd(_220461, tptp_mmul(_220459, tptp_mmul(tptp_madd(tptp_mmul(_220457, tptp_mmul(_220455, trans(_220457))), tptp_mmul(_220453, tptp_mmul(_220451, trans(_220453)))), trans(_220459)))), _223375, _223377)), leq(n0, _223377), leq(_223377, _220449), leq(n0, _223375), leq(_223375, _220449)]]], (730 ^ _194563) ^ [_224128] : [-(sum(n0, tptp_minus_1, _224128) = n0)], (732 ^ _194563) ^ [_224210] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _224210))], (734 ^ _194563) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _194563) ^ [_224345] : [-(plus(_224345, n1) = succ(_224345))], (738 ^ _194563) ^ [_224428] : [-(plus(n1, _224428) = succ(_224428))], (740 ^ _194563) ^ [_224511] : [-(plus(_224511, n2) = succ(succ(_224511)))], (742 ^ _194563) ^ [_224596] : [-(plus(n2, _224596) = succ(succ(_224596)))], (744 ^ _194563) ^ [_224681] : [-(plus(_224681, n3) = succ(succ(succ(_224681))))], (746 ^ _194563) ^ [_224768] : [-(plus(n3, _224768) = succ(succ(succ(_224768))))], (748 ^ _194563) ^ [_224855] : [-(plus(_224855, n4) = succ(succ(succ(succ(_224855)))))], (750 ^ _194563) ^ [_224944] : [-(plus(n4, _224944) = succ(succ(succ(succ(_224944)))))], (752 ^ _194563) ^ [_225033] : [-(plus(_225033, n5) = succ(succ(succ(succ(succ(_225033))))))], (754 ^ _194563) ^ [_225124] : [-(plus(n5, _225124) = succ(succ(succ(succ(succ(_225124))))))], (756 ^ _194563) ^ [_225215] : [-(minus(_225215, n1) = pred(_225215))], (758 ^ _194563) ^ [_225298] : [-(pred(succ(_225298)) = _225298)], (760 ^ _194563) ^ [_225380] : [-(succ(pred(_225380)) = _225380)], (762 ^ _194563) ^ [_225520, _225522] : [leq(succ(_225522), succ(_225520)), -(leq(_225522, _225520))], (768 ^ _194563) ^ [_225690, _225692] : [leq(_225692, _225690), -(leq(succ(_225692), succ(_225690)))], (774 ^ _194563) ^ [_225910, _225912] : [leq(succ(_225912), _225910), -(gt(_225910, _225912))], (780 ^ _194563) ^ [_226124, _226126] : [leq(minus(_226126, _226124), _226126), -(leq(n0, _226124))], (786 ^ _194563) ^ [_226353, _226355, _226357, _226359] : [-(a_select3(tptp_update3(_226359, _226357, _226355, _226353), _226357, _226355) = _226353)], (788 ^ _194563) ^ [_226545, _226547, _226549, _226551, _226553, _226555, _226557] : [-(a_select3(tptp_update3(_226549, _226557, _226555, _226545), _226553, _226551) = _226547), -(_226557 = _226553), _226555 = _226551, a_select3(_226549, _226553, _226551) = _226547], (802 ^ _194563) ^ [_227088, _227090, _227092, _227094, _227096, _227098] : [-(a_select3(tptp_update3(_227090, _227094, _227092, _227088), _227098, _227096) = _227088), 807 ^ _194563 : [(808 ^ _194563) ^ [] : [-(leq(n0, 805 ^ [_227088, _227090, _227092, _227094, _227096, _227098]))], (810 ^ _194563) ^ [] : [-(leq(n0, 806 ^ [_227088, _227090, _227092, _227094, _227096, _227098]))], (812 ^ _194563) ^ [] : [-(leq(805 ^ [_227088, _227090, _227092, _227094, _227096, _227098], _227094))], (814 ^ _194563) ^ [] : [-(leq(806 ^ [_227088, _227090, _227092, _227094, _227096, _227098], _227092))], (816 ^ _194563) ^ [] : [a_select3(_227090, 805 ^ [_227088, _227090, _227092, _227094, _227096, _227098], 806 ^ [_227088, _227090, _227092, _227094, _227096, _227098]) = _227088]], leq(n0, _227098), leq(_227098, _227094), leq(n0, _227096), leq(_227096, _227092)], (834 ^ _194563) ^ [_228430, _228432, _228434] : [-(a_select2(tptp_update2(_228434, _228432, _228430), _228432) = _228430)], (836 ^ _194563) ^ [_228590, _228592, _228594, _228596, _228598] : [-(a_select2(tptp_update2(_228594, _228598, _228590), _228596) = _228592), -(_228598 = _228596), a_select2(_228594, _228596) = _228592], (865 ^ _194563) ^ [] : [-(true)], (867 ^ _194563) ^ [] : [def = use], (846 ^ _194563) ^ [_228970, _228972, _228974, _228976] : [-(a_select2(tptp_update2(_228972, _228974, _228970), _228976) = _228970), 850 ^ _194563 : [(851 ^ _194563) ^ [] : [-(leq(n0, 849 ^ [_228970, _228972, _228974, _228976]))], (853 ^ _194563) ^ [] : [-(leq(849 ^ [_228970, _228972, _228974, _228976], _228974))], (855 ^ _194563) ^ [] : [a_select2(_228972, 849 ^ [_228970, _228972, _228974, _228976]) = _228970]], leq(n0, _228976), leq(_228976, _228974)]], input).
% 0.33/1.40 ncf('1',plain,[leq(tptp_float_0_001, tptp_float_0_001)],start(1041 ^ 0)).
% 0.33/1.40 ncf('1.1',plain,[-(leq(tptp_float_0_001, tptp_float_0_001))],extension(286 ^ 1,bind([[_204707], [tptp_float_0_001]]))).
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------