%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 12:20:13 EDT 2023

% Result   : Theorem 0.33s 1.37s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:44:16 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.37  
% 0.33/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  ncf(matrix, plain, [(1041 ^ _204256) ^ [_244167, _244169] : [-(a_select3(q_ds1_filter, _244169, _244167) = a_select3(q_ds1_filter, _244167, _244169)), leq(n0, _244169), leq(n0, _244167), leq(_244169, n5), leq(_244167, n5)], (1061 ^ _204256) ^ [] : [-(leq(n0, 1058 ^ []))], (1063 ^ _204256) ^ [] : [-(leq(n0, 1059 ^ []))], (1065 ^ _204256) ^ [] : [-(leq(1058 ^ [], n2))], (1067 ^ _204256) ^ [] : [-(leq(1059 ^ [], n2))], (1119 ^ _204256) ^ [] : [a_select2(rho, n1) = n0], (1069 ^ _204256) ^ [] : [n0 = 1058 ^ [], n1 = 1059 ^ []], (1075 ^ _204256) ^ [] : [n0 = 1058 ^ [], n2 = 1059 ^ []], (1081 ^ _204256) ^ [] : [n0 = 1059 ^ [], n2 = 1058 ^ []], (1087 ^ _204256) ^ [] : [n1 = 1058 ^ [], n1 = 1059 ^ []], (1093 ^ _204256) ^ [] : [n1 = 1058 ^ [], n2 = 1059 ^ []], (1099 ^ _204256) ^ [] : [n1 = 1059 ^ [], n2 = 1058 ^ []], (1111 ^ _204256) ^ [] : [-(n0 = 1059 ^ [])], (1113 ^ _204256) ^ [] : [-(n1 = 1058 ^ [])], (1115 ^ _204256) ^ [] : [-(n1 = 1059 ^ [])], (1117 ^ _204256) ^ [] : [-(n2 = 1058 ^ [])], (1105 ^ _204256) ^ [] : [n2 = 1058 ^ [], n2 = 1059 ^ []], (2 ^ _204256) ^ [_204400] : [-(_204400 = _204400)], (4 ^ _204256) ^ [_204507, _204509] : [_204509 = _204507, -(_204507 = _204509)], (10 ^ _204256) ^ [_204711, _204713, _204715] : [-(_204715 = _204711), _204715 = _204713, _204713 = _204711], (20 ^ _204256) ^ [_205052, _205054, _205056, _205058] : [-(lt(_205056, _205052)), lt(_205058, _205054), _205058 = _205056, _205054 = _205052], (34 ^ _204256) ^ [_205496, _205498, _205500, _205502] : [-(geq(_205500, _205496)), geq(_205502, _205498), _205502 = _205500, _205498 = _205496], (48 ^ _204256) ^ [_205940, _205942, _205944, _205946] : [-(gt(_205944, _205940)), gt(_205946, _205942), _205946 = _205944, _205942 = _205940], (62 ^ _204256) ^ [_206364, _206366, _206368, _206370] : [-(leq(_206368, _206364)), leq(_206370, _206366), _206370 = _206368, _206366 = _206364], (76 ^ _204256) ^ [_206820, _206822, _206824, _206826] : [-(uniform_int_rnd(_206826, _206822) = uniform_int_rnd(_206824, _206820)), _206826 = _206824, _206822 = _206820], (86 ^ _204256) ^ [_207179, _207181, _207183, _207185] : [-(tptp_const_array1(_207185, _207181) = tptp_const_array1(_207183, _207179)), _207185 = _207183, _207181 = _207179], (96 ^ _204256) ^ [_207566, _207568, _207570, _207572, _207574, _207576] : [-(tptp_const_array2(_207576, _207572, _207568) = tptp_const_array2(_207574, _207570, _207566)), _207576 = _207574, _207572 = _207570, _207568 = _207566], (110 ^ _204256) ^ [_208054, _208056, _208058, _208060] : [-(dim(_208060, _208056) = dim(_208058, _208054)), _208060 = _208058, _208056 = _208054], (120 ^ _204256) ^ [_208385, _208387] : [_208387 = _208385, -(inv(_208387) = inv(_208385))], (126 ^ _204256) ^ [_208631, _208633, _208635, _208637] : [-(tptp_msub(_208637, _208633) = tptp_msub(_208635, _208631)), _208637 = _208635, _208633 = _208631], (136 ^ _204256) ^ [_208990, _208992, _208994, _208996] : [-(tptp_madd(_208996, _208992) = tptp_madd(_208994, _208990)), _208996 = _208994, _208992 = _208990], (146 ^ _204256) ^ [_209349, _209351, _209353, _209355] : [-(tptp_mmul(_209355, _209351) = tptp_mmul(_209353, _209349)), _209355 = _209353, _209351 = _209349], (156 ^ _204256) ^ [_209680, _209682] : [_209682 = _209680, -(trans(_209682) = trans(_209680))], (162 ^ _204256) ^ [_209954, _209956, _209958, _209960, _209962, _209964] : [-(sum(_209964, _209960, _209956) = sum(_209962, _209958, _209954)), _209964 = _209962, _209960 = _209958, _209956 = _209954], (176 ^ _204256) ^ [_210442, _210444, _210446, _210448] : [-(plus(_210448, _210444) = plus(_210446, _210442)), _210448 = _210446, _210444 = _210442], (186 ^ _204256) ^ [_210773, _210775] : [_210775 = _210773, -(pred(_210775) = pred(_210773))], (192 ^ _204256) ^ [_211019, _211021, _211023, _211025] : [-(minus(_211025, _211021) = minus(_211023, _211019)), _211025 = _211023, _211021 = _211019], (202 ^ _204256) ^ [_211434, _211436, _211438, _211440, _211442, _211444, _211446, _211448] : [-(tptp_update3(_211448, _211444, _211440, _211436) = tptp_update3(_211446, _211442, _211438, _211434)), _211448 = _211446, _211444 = _211442, _211440 = _211438, _211436 = _211434], (220 ^ _204256) ^ [_212095, _212097, _212099, _212101, _212103, _212105] : [-(tptp_update2(_212105, _212101, _212097) = tptp_update2(_212103, _212099, _212095)), _212105 = _212103, _212101 = _212099, _212097 = _212095], (234 ^ _204256) ^ [_212555, _212557] : [_212557 = _212555, -(succ(_212557) = succ(_212555))], (254 ^ _204256) ^ [_213297, _213299, _213301, _213303] : [-(a_select2(_213303, _213299) = a_select2(_213301, _213297)), _213303 = _213301, _213299 = _213297], (240 ^ _204256) ^ [_212829, _212831, _212833, _212835, _212837, _212839] : [-(a_select3(_212839, _212835, _212831) = a_select3(_212837, _212833, _212829)), _212839 = _212837, _212835 = _212833, _212831 = _212829], (869 ^ _204256) ^ [] : [-(gt(n5, n4))], (871 ^ _204256) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _204256) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _204256) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _204256) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _204256) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _204256) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _204256) ^ [] : [-(gt(n4, n0))], (885 ^ _204256) ^ [] : [-(gt(n5, n0))], (887 ^ _204256) ^ [] : [-(gt(n1, n0))], (889 ^ _204256) ^ [] : [-(gt(n2, n0))], (891 ^ _204256) ^ [] : [-(gt(n3, n0))], (893 ^ _204256) ^ [] : [-(gt(n4, n1))], (895 ^ _204256) ^ [] : [-(gt(n5, n1))], (897 ^ _204256) ^ [] : [-(gt(n2, n1))], (899 ^ _204256) ^ [] : [-(gt(n3, n1))], (901 ^ _204256) ^ [] : [-(gt(n4, n2))], (903 ^ _204256) ^ [] : [-(gt(n5, n2))], (905 ^ _204256) ^ [] : [-(gt(n3, n2))], (907 ^ _204256) ^ [] : [-(gt(n4, n3))], (909 ^ _204256) ^ [] : [-(gt(n5, n3))], (911 ^ _204256) ^ [_240766] : [leq(n0, _240766), leq(_240766, n4), -(_240766 = n0), -(_240766 = n1), -(_240766 = n2), -(_240766 = n3), -(_240766 = n4)], (937 ^ _204256) ^ [_241387] : [leq(n0, _241387), leq(_241387, n5), -(_241387 = n0), -(_241387 = n1), -(_241387 = n2), -(_241387 = n3), -(_241387 = n4), -(_241387 = n5)], (967 ^ _204256) ^ [_242094] : [-(_242094 = n0), leq(n0, _242094), leq(_242094, n0)], (977 ^ _204256) ^ [_242369] : [leq(n0, _242369), leq(_242369, n1), -(_242369 = n0), -(_242369 = n1)], (991 ^ _204256) ^ [_242732] : [leq(n0, _242732), leq(_242732, n2), -(_242732 = n0), -(_242732 = n1), -(_242732 = n2)], (1031 ^ _204256) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _204256) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _204256) ^ [] : [-(succ(n0) = n1)], (1037 ^ _204256) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _204256) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _204256) ^ [_243181] : [leq(n0, _243181), leq(_243181, n3), -(_243181 = n0), -(_243181 = n1), -(_243181 = n2), -(_243181 = n3)], (264 ^ _204256) ^ [_213728, _213730] : [-(gt(_213730, _213728)), -(gt(_213728, _213730)), -(_213730 = _213728)], (274 ^ _204256) ^ [_214043, _214045, _214047] : [-(gt(_214047, _214043)), gt(_214047, _214045), gt(_214045, _214043)], (284 ^ _204256) ^ [_214322] : [gt(_214322, _214322)], (286 ^ _204256) ^ [_214400] : [-(leq(_214400, _214400))], (288 ^ _204256) ^ [_214521, _214523, _214525] : [-(leq(_214525, _214521)), leq(_214525, _214523), leq(_214523, _214521)], (298 ^ _204256) ^ [_214859, _214861] : [lt(_214861, _214859), -(gt(_214859, _214861))], (304 ^ _204256) ^ [_215021, _215023] : [gt(_215021, _215023), -(lt(_215023, _215021))], (310 ^ _204256) ^ [_215262, _215264] : [geq(_215264, _215262), -(leq(_215262, _215264))], (316 ^ _204256) ^ [_215424, _215426] : [leq(_215424, _215426), -(geq(_215426, _215424))], (322 ^ _204256) ^ [_215636, _215638] : [gt(_215636, _215638), -(leq(_215638, _215636))], (328 ^ _204256) ^ [_215846, _215848] : [-(gt(_215846, _215848)), leq(_215848, _215846), -(_215848 = _215846)], (338 ^ _204256) ^ [_216177, _216179] : [leq(_216179, pred(_216177)), -(gt(_216177, _216179))], (344 ^ _204256) ^ [_216343, _216345] : [gt(_216343, _216345), -(leq(_216345, pred(_216343)))], (350 ^ _204256) ^ [_216530] : [-(gt(succ(_216530), _216530))], (352 ^ _204256) ^ [_216639, _216641] : [leq(_216641, _216639), -(leq(_216641, succ(_216639)))], (358 ^ _204256) ^ [_216882, _216884] : [leq(_216884, _216882), -(gt(succ(_216882), _216884))], (364 ^ _204256) ^ [_217048, _217050] : [gt(succ(_217048), _217050), -(leq(_217050, _217048))], (370 ^ _204256) ^ [_217264, _217266] : [leq(n0, _217266), -(leq(uniform_int_rnd(_217264, _217266), _217266))], (376 ^ _204256) ^ [_217480, _217482] : [leq(n0, _217482), -(leq(n0, uniform_int_rnd(_217480, _217482)))], (382 ^ _204256) ^ [_217724, _217726, _217728, _217730] : [-(a_select2(tptp_const_array1(dim(_217728, _217726), _217724), _217730) = _217724), leq(_217728, _217730), leq(_217730, _217726)], (392 ^ _204256) ^ [_218131, _218133, _218135, _218137, _218139, _218141, _218143] : [-(a_select3(tptp_const_array2(dim(_218141, _218139), dim(_218135, _218133), _218131), _218143, _218137) = _218131), leq(_218141, _218143), leq(_218143, _218139), leq(_218135, _218137), leq(_218137, _218133)], (410 ^ _204256) ^ [_218726, _218728] : [413 ^ _204256 : [(414 ^ _204256) ^ [] : [-(leq(n0, 411 ^ [_218726, _218728]))], (416 ^ _204256) ^ [] : [-(leq(411 ^ [_218726, _218728], _218726))], (418 ^ _204256) ^ [] : [-(leq(n0, 412 ^ [_218726, _218728]))], (420 ^ _204256) ^ [] : [-(leq(412 ^ [_218726, _218728], _218726))], (422 ^ _204256) ^ [] : [a_select3(_218728, 411 ^ [_218726, _218728], 412 ^ [_218726, _218728]) = a_select3(_218728, 412 ^ [_218726, _218728], 411 ^ [_218726, _218728])]], 423 ^ _204256 : [(424 ^ _204256) ^ [_219483, _219485] : [-(a_select3(trans(_218728), _219485, _219483) = a_select3(trans(_218728), _219483, _219485)), leq(n0, _219485), leq(_219485, _218726), leq(n0, _219483), leq(_219483, _218726)]]], (442 ^ _204256) ^ [_220030, _220032] : [445 ^ _204256 : [(446 ^ _204256) ^ [] : [-(leq(n0, 443 ^ [_220030, _220032]))], (448 ^ _204256) ^ [] : [-(leq(443 ^ [_220030, _220032], _220030))], (450 ^ _204256) ^ [] : [-(leq(n0, 444 ^ [_220030, _220032]))], (452 ^ _204256) ^ [] : [-(leq(444 ^ [_220030, _220032], _220030))], (454 ^ _204256) ^ [] : [a_select3(_220032, 443 ^ [_220030, _220032], 444 ^ [_220030, _220032]) = a_select3(_220032, 444 ^ [_220030, _220032], 443 ^ [_220030, _220032])]], 455 ^ _204256 : [(456 ^ _204256) ^ [_220787, _220789] : [-(a_select3(inv(_220032), _220789, _220787) = a_select3(inv(_220032), _220787, _220789)), leq(n0, _220789), leq(_220789, _220030), leq(n0, _220787), leq(_220787, _220030)]]], (474 ^ _204256) ^ [_221334, _221336] : [477 ^ _204256 : [(478 ^ _204256) ^ [] : [-(leq(n0, 475 ^ [_221334, _221336]))], (480 ^ _204256) ^ [] : [-(leq(475 ^ [_221334, _221336], _221334))], (482 ^ _204256) ^ [] : [-(leq(n0, 476 ^ [_221334, _221336]))], (484 ^ _204256) ^ [] : [-(leq(476 ^ [_221334, _221336], _221334))], (486 ^ _204256) ^ [] : [a_select3(_221336, 475 ^ [_221334, _221336], 476 ^ [_221334, _221336]) = a_select3(_221336, 476 ^ [_221334, _221336], 475 ^ [_221334, _221336])]], 487 ^ _204256 : [(488 ^ _204256) ^ [_222147, _222149, _222151, _222153] : [-(a_select3(tptp_update3(_221336, _222149, _222149, _222147), _222153, _222151) = a_select3(tptp_update3(_221336, _222149, _222149, _222147), _222151, _222153)), leq(n0, _222153), leq(_222153, _221334), leq(n0, _222151), leq(_222151, _221334), leq(n0, _222149), leq(_222149, _221334)]]], (514 ^ _204256) ^ [_222966, _222968, _222970] : [519 ^ _204256 : [(520 ^ _204256) ^ [] : [-(leq(n0, 517 ^ [_222966, _222968, _222970]))], (522 ^ _204256) ^ [] : [-(leq(517 ^ [_222966, _222968, _222970], _222966))], (524 ^ _204256) ^ [] : [-(leq(n0, 518 ^ [_222966, _222968, _222970]))], (526 ^ _204256) ^ [] : [-(leq(518 ^ [_222966, _222968, _222970], _222966))], (528 ^ _204256) ^ [] : [a_select3(_222970, 517 ^ [_222966, _222968, _222970], 518 ^ [_222966, _222968, _222970]) = a_select3(_222970, 518 ^ [_222966, _222968, _222970], 517 ^ [_222966, _222968, _222970])]], 531 ^ _204256 : [(532 ^ _204256) ^ [] : [-(leq(n0, 529 ^ [_222966, _222968, _222970]))], (534 ^ _204256) ^ [] : [-(leq(529 ^ [_222966, _222968, _222970], _222966))], (536 ^ _204256) ^ [] : [-(leq(n0, 530 ^ [_222966, _222968, _222970]))], (538 ^ _204256) ^ [] : [-(leq(530 ^ [_222966, _222968, _222970], _222966))], (540 ^ _204256) ^ [] : [a_select3(_222968, 529 ^ [_222966, _222968, _222970], 530 ^ [_222966, _222968, _222970]) = a_select3(_222968, 530 ^ [_222966, _222968, _222970], 529 ^ [_222966, _222968, _222970])]], 541 ^ _204256 : [(542 ^ _204256) ^ [_224475, _224477] : [-(a_select3(tptp_madd(_222970, _222968), _224477, _224475) = a_select3(tptp_madd(_222970, _222968), _224475, _224477)), leq(n0, _224477), leq(_224477, _222966), leq(n0, _224475), leq(_224475, _222966)]]], (560 ^ _204256) ^ [_225061, _225063, _225065] : [565 ^ _204256 : [(566 ^ _204256) ^ [] : [-(leq(n0, 563 ^ [_225061, _225063, _225065]))], (568 ^ _204256) ^ [] : [-(leq(563 ^ [_225061, _225063, _225065], _225061))], (570 ^ _204256) ^ [] : [-(leq(n0, 564 ^ [_225061, _225063, _225065]))], (572 ^ _204256) ^ [] : [-(leq(564 ^ [_225061, _225063, _225065], _225061))], (574 ^ _204256) ^ [] : [a_select3(_225065, 563 ^ [_225061, _225063, _225065], 564 ^ [_225061, _225063, _225065]) = a_select3(_225065, 564 ^ [_225061, _225063, _225065], 563 ^ [_225061, _225063, _225065])]], 577 ^ _204256 : [(578 ^ _204256) ^ [] : [-(leq(n0, 575 ^ [_225061, _225063, _225065]))], (580 ^ _204256) ^ [] : [-(leq(575 ^ [_225061, _225063, _225065], _225061))], (582 ^ _204256) ^ [] : [-(leq(n0, 576 ^ [_225061, _225063, _225065]))], (584 ^ _204256) ^ [] : [-(leq(576 ^ [_225061, _225063, _225065], _225061))], (586 ^ _204256) ^ [] : [a_select3(_225063, 575 ^ [_225061, _225063, _225065], 576 ^ [_225061, _225063, _225065]) = a_select3(_225063, 576 ^ [_225061, _225063, _225065], 575 ^ [_225061, _225063, _225065])]], 587 ^ _204256 : [(588 ^ _204256) ^ [_226570, _226572] : [-(a_select3(tptp_msub(_225065, _225063), _226572, _226570) = a_select3(tptp_msub(_225065, _225063), _226570, _226572)), leq(n0, _226572), leq(_226572, _225061), leq(n0, _226570), leq(_226570, _225061)]]], (606 ^ _204256) ^ [_227156, _227158, _227160] : [609 ^ _204256 : [(610 ^ _204256) ^ [] : [-(leq(n0, 607 ^ [_227156, _227158, _227160]))], (612 ^ _204256) ^ [] : [-(leq(607 ^ [_227156, _227158, _227160], _227156))], (614 ^ _204256) ^ [] : [-(leq(n0, 608 ^ [_227156, _227158, _227160]))], (616 ^ _204256) ^ [] : [-(leq(608 ^ [_227156, _227158, _227160], _227156))], (618 ^ _204256) ^ [] : [a_select3(_227158, 607 ^ [_227156, _227158, _227160], 608 ^ [_227156, _227158, _227160]) = a_select3(_227158, 608 ^ [_227156, _227158, _227160], 607 ^ [_227156, _227158, _227160])]], 619 ^ _204256 : [(620 ^ _204256) ^ [_227969, _227971] : [-(a_select3(tptp_mmul(_227160, tptp_mmul(_227158, trans(_227160))), _227971, _227969) = a_select3(tptp_mmul(_227160, tptp_mmul(_227158, trans(_227160))), _227969, _227971)), leq(n0, _227971), leq(_227971, _227156), leq(n0, _227969), leq(_227969, _227156)]]], (638 ^ _204256) ^ [_228588, _228590, _228592, _228594] : [641 ^ _204256 : [(642 ^ _204256) ^ [] : [-(leq(n0, 639 ^ [_228588, _228590, _228592, _228594]))], (644 ^ _204256) ^ [] : [-(leq(639 ^ [_228588, _228590, _228592, _228594], _228588))], (646 ^ _204256) ^ [] : [-(leq(n0, 640 ^ [_228588, _228590, _228592, _228594]))], (648 ^ _204256) ^ [] : [-(leq(640 ^ [_228588, _228590, _228592, _228594], _228588))], (650 ^ _204256) ^ [] : [a_select3(_228592, 639 ^ [_228588, _228590, _228592, _228594], 640 ^ [_228588, _228590, _228592, _228594]) = a_select3(_228592, 640 ^ [_228588, _228590, _228592, _228594], 639 ^ [_228588, _228590, _228592, _228594])]], 651 ^ _204256 : [(652 ^ _204256) ^ [_229445, _229447] : [-(a_select3(tptp_mmul(_228594, tptp_mmul(_228592, trans(_228594))), _229447, _229445) = a_select3(tptp_mmul(_228594, tptp_mmul(_228592, trans(_228594))), _229445, _229447)), leq(n0, _229447), leq(_229447, _228590), leq(n0, _229445), leq(_229445, _228590)]]], (670 ^ _204256) ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154] : [675 ^ _204256 : [(676 ^ _204256) ^ [] : [-(leq(n0, 673 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (678 ^ _204256) ^ [] : [-(leq(673 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230140))], (680 ^ _204256) ^ [] : [-(leq(n0, 674 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (682 ^ _204256) ^ [] : [-(leq(674 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230140))], (684 ^ _204256) ^ [] : [a_select3(_230148, 673 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 674 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]) = a_select3(_230148, 674 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 673 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154])]], 689 ^ _204256 : [(690 ^ _204256) ^ [] : [-(leq(n0, 687 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (692 ^ _204256) ^ [] : [-(leq(687 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230142))], (694 ^ _204256) ^ [] : [-(leq(n0, 688 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (696 ^ _204256) ^ [] : [-(leq(688 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230142))], (698 ^ _204256) ^ [] : [a_select3(_230154, 687 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 688 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]) = a_select3(_230154, 688 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 687 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154])]], 701 ^ _204256 : [(702 ^ _204256) ^ [] : [-(leq(n0, 699 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (704 ^ _204256) ^ [] : [-(leq(699 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230142))], (706 ^ _204256) ^ [] : [-(leq(n0, 700 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]))], (708 ^ _204256) ^ [] : [-(leq(700 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], _230142))], (710 ^ _204256) ^ [] : [a_select3(_230144, 699 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 700 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154]) = a_select3(_230144, 700 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154], 699 ^ [_230140, _230142, _230144, _230146, _230148, _230150, _230152, _230154])]], 711 ^ _204256 : [(712 ^ _204256) ^ [_233068, _233070] : [-(a_select3(tptp_madd(_230154, tptp_mmul(_230152, tptp_mmul(tptp_madd(tptp_mmul(_230150, tptp_mmul(_230148, trans(_230150))), tptp_mmul(_230146, tptp_mmul(_230144, trans(_230146)))), trans(_230152)))), _233070, _233068) = a_select3(tptp_madd(_230154, tptp_mmul(_230152, tptp_mmul(tptp_madd(tptp_mmul(_230150, tptp_mmul(_230148, trans(_230150))), tptp_mmul(_230146, tptp_mmul(_230144, trans(_230146)))), trans(_230152)))), _233068, _233070)), leq(n0, _233070), leq(_233070, _230142), leq(n0, _233068), leq(_233068, _230142)]]], (730 ^ _204256) ^ [_233821] : [-(sum(n0, tptp_minus_1, _233821) = n0)], (732 ^ _204256) ^ [_233903] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _233903))], (734 ^ _204256) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _204256) ^ [_234038] : [-(plus(_234038, n1) = succ(_234038))], (738 ^ _204256) ^ [_234121] : [-(plus(n1, _234121) = succ(_234121))], (740 ^ _204256) ^ [_234204] : [-(plus(_234204, n2) = succ(succ(_234204)))], (742 ^ _204256) ^ [_234289] : [-(plus(n2, _234289) = succ(succ(_234289)))], (744 ^ _204256) ^ [_234374] : [-(plus(_234374, n3) = succ(succ(succ(_234374))))], (746 ^ _204256) ^ [_234461] : [-(plus(n3, _234461) = succ(succ(succ(_234461))))], (748 ^ _204256) ^ [_234548] : [-(plus(_234548, n4) = succ(succ(succ(succ(_234548)))))], (750 ^ _204256) ^ [_234637] : [-(plus(n4, _234637) = succ(succ(succ(succ(_234637)))))], (752 ^ _204256) ^ [_234726] : [-(plus(_234726, n5) = succ(succ(succ(succ(succ(_234726))))))], (754 ^ _204256) ^ [_234817] : [-(plus(n5, _234817) = succ(succ(succ(succ(succ(_234817))))))], (756 ^ _204256) ^ [_234908] : [-(minus(_234908, n1) = pred(_234908))], (758 ^ _204256) ^ [_234991] : [-(pred(succ(_234991)) = _234991)], (760 ^ _204256) ^ [_235073] : [-(succ(pred(_235073)) = _235073)], (762 ^ _204256) ^ [_235213, _235215] : [leq(succ(_235215), succ(_235213)), -(leq(_235215, _235213))], (768 ^ _204256) ^ [_235383, _235385] : [leq(_235385, _235383), -(leq(succ(_235385), succ(_235383)))], (774 ^ _204256) ^ [_235603, _235605] : [leq(succ(_235605), _235603), -(gt(_235603, _235605))], (780 ^ _204256) ^ [_235817, _235819] : [leq(minus(_235819, _235817), _235819), -(leq(n0, _235817))], (786 ^ _204256) ^ [_236046, _236048, _236050, _236052] : [-(a_select3(tptp_update3(_236052, _236050, _236048, _236046), _236050, _236048) = _236046)], (788 ^ _204256) ^ [_236238, _236240, _236242, _236244, _236246, _236248, _236250] : [-(a_select3(tptp_update3(_236242, _236250, _236248, _236238), _236246, _236244) = _236240), -(_236250 = _236246), _236248 = _236244, a_select3(_236242, _236246, _236244) = _236240], (802 ^ _204256) ^ [_236781, _236783, _236785, _236787, _236789, _236791] : [-(a_select3(tptp_update3(_236783, _236787, _236785, _236781), _236791, _236789) = _236781), 807 ^ _204256 : [(808 ^ _204256) ^ [] : [-(leq(n0, 805 ^ [_236781, _236783, _236785, _236787, _236789, _236791]))], (810 ^ _204256) ^ [] : [-(leq(n0, 806 ^ [_236781, _236783, _236785, _236787, _236789, _236791]))], (812 ^ _204256) ^ [] : [-(leq(805 ^ [_236781, _236783, _236785, _236787, _236789, _236791], _236787))], (814 ^ _204256) ^ [] : [-(leq(806 ^ [_236781, _236783, _236785, _236787, _236789, _236791], _236785))], (816 ^ _204256) ^ [] : [a_select3(_236783, 805 ^ [_236781, _236783, _236785, _236787, _236789, _236791], 806 ^ [_236781, _236783, _236785, _236787, _236789, _236791]) = _236781]], leq(n0, _236791), leq(_236791, _236787), leq(n0, _236789), leq(_236789, _236785)], (834 ^ _204256) ^ [_238123, _238125, _238127] : [-(a_select2(tptp_update2(_238127, _238125, _238123), _238125) = _238123)], (836 ^ _204256) ^ [_238283, _238285, _238287, _238289, _238291] : [-(a_select2(tptp_update2(_238287, _238291, _238283), _238289) = _238285), -(_238291 = _238289), a_select2(_238287, _238289) = _238285], (865 ^ _204256) ^ [] : [-(true)], (867 ^ _204256) ^ [] : [def = use], (846 ^ _204256) ^ [_238663, _238665, _238667, _238669] : [-(a_select2(tptp_update2(_238665, _238667, _238663), _238669) = _238663), 850 ^ _204256 : [(851 ^ _204256) ^ [] : [-(leq(n0, 849 ^ [_238663, _238665, _238667, _238669]))], (853 ^ _204256) ^ [] : [-(leq(849 ^ [_238663, _238665, _238667, _238669], _238667))], (855 ^ _204256) ^ [] : [a_select2(_238665, 849 ^ [_238663, _238665, _238667, _238669]) = _238663]], leq(n0, _238669), leq(_238669, _238667)]], input).
% 0.33/1.37  ncf('1',plain,[n0 = 1059 ^ [], n2 = 1058 ^ []],start(1081 ^ 0)).
% 0.33/1.37  ncf('1.1',plain,[-(n0 = 1059 ^ [])],extension(1111 ^ 1)).
% 0.33/1.37  ncf('1.2',plain,[-(n2 = 1058 ^ [])],extension(1117 ^ 1)).
% 0.33/1.37  %-----------------------------------------------------
% 0.33/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------