%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 1.37s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.11 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 19 02:34:51 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.35/1.37
% 0.35/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 ncf(matrix, plain, [(1127 ^ _205727) ^ [] : [true], (1041 ^ _205727) ^ [_245644] : [-(a_select2(rho_defuse, _245644) = use), leq(n0, _245644), leq(_245644, minus(m_measvars, n1))], (1051 ^ _205727) ^ [_245925] : [-(a_select2(sigma_defuse, _245925) = use), leq(n0, _245925), leq(_245925, minus(n_statevars, n1))], (1061 ^ _205727) ^ [_246220, _246222] : [-(a_select3(u_defuse, _246222, _246220) = use), leq(n0, _246222), leq(n0, _246220), leq(_246222, n2), leq(_246220, minus(n_steps, n1))], (1079 ^ _205727) ^ [_246691] : [-(a_select2(xinit_defuse, _246691) = use), leq(n0, _246691), leq(_246691, minus(n_statevars, n1))], (1089 ^ _205727) ^ [_246972] : [-(a_select2(xinit_mean_defuse, _246972) = use), leq(n0, _246972), leq(_246972, minus(n_statevars, n1))], (1099 ^ _205727) ^ [_247253] : [-(a_select2(xinit_noise_defuse, _247253) = use), leq(n0, _247253), leq(_247253, minus(n_statevars, n1))], (1109 ^ _205727) ^ [_247528, _247530] : [-(a_select3(z_defuse, _247530, _247528) = use), leq(n0, _247530), leq(n0, _247528), leq(_247530, minus(m_measvars, n1)), leq(_247528, minus(n_steps, n1))], (2 ^ _205727) ^ [_205871] : [-(_205871 = _205871)], (4 ^ _205727) ^ [_205978, _205980] : [_205980 = _205978, -(_205978 = _205980)], (10 ^ _205727) ^ [_206182, _206184, _206186] : [-(_206186 = _206182), _206186 = _206184, _206184 = _206182], (20 ^ _205727) ^ [_206523, _206525, _206527, _206529] : [-(lt(_206527, _206523)), lt(_206529, _206525), _206529 = _206527, _206525 = _206523], (34 ^ _205727) ^ [_206967, _206969, _206971, _206973] : [-(geq(_206971, _206967)), geq(_206973, _206969), _206973 = _206971, _206969 = _206967], (48 ^ _205727) ^ [_207411, _207413, _207415, _207417] : [-(gt(_207415, _207411)), gt(_207417, _207413), _207417 = _207415, _207413 = _207411], (62 ^ _205727) ^ [_207835, _207837, _207839, _207841] : [-(leq(_207839, _207835)), leq(_207841, _207837), _207841 = _207839, _207837 = _207835], (76 ^ _205727) ^ [_208291, _208293, _208295, _208297] : [-(uniform_int_rnd(_208297, _208293) = uniform_int_rnd(_208295, _208291)), _208297 = _208295, _208293 = _208291], (86 ^ _205727) ^ [_208650, _208652, _208654, _208656] : [-(tptp_const_array1(_208656, _208652) = tptp_const_array1(_208654, _208650)), _208656 = _208654, _208652 = _208650], (96 ^ _205727) ^ [_209037, _209039, _209041, _209043, _209045, _209047] : [-(tptp_const_array2(_209047, _209043, _209039) = tptp_const_array2(_209045, _209041, _209037)), _209047 = _209045, _209043 = _209041, _209039 = _209037], (110 ^ _205727) ^ [_209525, _209527, _209529, _209531] : [-(dim(_209531, _209527) = dim(_209529, _209525)), _209531 = _209529, _209527 = _209525], (120 ^ _205727) ^ [_209856, _209858] : [_209858 = _209856, -(inv(_209858) = inv(_209856))], (126 ^ _205727) ^ [_210102, _210104, _210106, _210108] : [-(tptp_msub(_210108, _210104) = tptp_msub(_210106, _210102)), _210108 = _210106, _210104 = _210102], (136 ^ _205727) ^ [_210461, _210463, _210465, _210467] : [-(tptp_madd(_210467, _210463) = tptp_madd(_210465, _210461)), _210467 = _210465, _210463 = _210461], (146 ^ _205727) ^ [_210820, _210822, _210824, _210826] : [-(tptp_mmul(_210826, _210822) = tptp_mmul(_210824, _210820)), _210826 = _210824, _210822 = _210820], (156 ^ _205727) ^ [_211151, _211153] : [_211153 = _211151, -(trans(_211153) = trans(_211151))], (162 ^ _205727) ^ [_211425, _211427, _211429, _211431, _211433, _211435] : [-(sum(_211435, _211431, _211427) = sum(_211433, _211429, _211425)), _211435 = _211433, _211431 = _211429, _211427 = _211425], (176 ^ _205727) ^ [_211913, _211915, _211917, _211919] : [-(plus(_211919, _211915) = plus(_211917, _211913)), _211919 = _211917, _211915 = _211913], (186 ^ _205727) ^ [_212244, _212246] : [_212246 = _212244, -(pred(_212246) = pred(_212244))], (192 ^ _205727) ^ [_212546, _212548, _212550, _212552, _212554, _212556, _212558, _212560] : [-(tptp_update3(_212560, _212556, _212552, _212548) = tptp_update3(_212558, _212554, _212550, _212546)), _212560 = _212558, _212556 = _212554, _212552 = _212550, _212548 = _212546], (210 ^ _205727) ^ [_213207, _213209, _213211, _213213, _213215, _213217] : [-(tptp_update2(_213217, _213213, _213209) = tptp_update2(_213215, _213211, _213207)), _213217 = _213215, _213213 = _213211, _213209 = _213207], (224 ^ _205727) ^ [_213667, _213669] : [_213669 = _213667, -(succ(_213669) = succ(_213667))], (230 ^ _205727) ^ [_213913, _213915, _213917, _213919] : [-(a_select2(_213919, _213915) = a_select2(_213917, _213913)), _213919 = _213917, _213915 = _213913], (240 ^ _205727) ^ [_214272, _214274, _214276, _214278] : [-(minus(_214278, _214274) = minus(_214276, _214272)), _214278 = _214276, _214274 = _214272], (250 ^ _205727) ^ [_214639, _214641, _214643, _214645, _214647, _214649] : [-(a_select3(_214649, _214645, _214641) = a_select3(_214647, _214643, _214639)), _214649 = _214647, _214645 = _214643, _214641 = _214639], (869 ^ _205727) ^ [] : [-(gt(n5, n4))], (871 ^ _205727) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _205727) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _205727) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _205727) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _205727) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _205727) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _205727) ^ [] : [-(gt(n4, n0))], (885 ^ _205727) ^ [] : [-(gt(n5, n0))], (887 ^ _205727) ^ [] : [-(gt(n1, n0))], (889 ^ _205727) ^ [] : [-(gt(n2, n0))], (891 ^ _205727) ^ [] : [-(gt(n3, n0))], (893 ^ _205727) ^ [] : [-(gt(n4, n1))], (895 ^ _205727) ^ [] : [-(gt(n5, n1))], (897 ^ _205727) ^ [] : [-(gt(n2, n1))], (899 ^ _205727) ^ [] : [-(gt(n3, n1))], (901 ^ _205727) ^ [] : [-(gt(n4, n2))], (903 ^ _205727) ^ [] : [-(gt(n5, n2))], (905 ^ _205727) ^ [] : [-(gt(n3, n2))], (907 ^ _205727) ^ [] : [-(gt(n4, n3))], (909 ^ _205727) ^ [] : [-(gt(n5, n3))], (911 ^ _205727) ^ [_242237] : [leq(n0, _242237), leq(_242237, n4), -(_242237 = n0), -(_242237 = n1), -(_242237 = n2), -(_242237 = n3), -(_242237 = n4)], (937 ^ _205727) ^ [_242858] : [leq(n0, _242858), leq(_242858, n5), -(_242858 = n0), -(_242858 = n1), -(_242858 = n2), -(_242858 = n3), -(_242858 = n4), -(_242858 = n5)], (967 ^ _205727) ^ [_243565] : [-(_243565 = n0), leq(n0, _243565), leq(_243565, n0)], (977 ^ _205727) ^ [_243840] : [leq(n0, _243840), leq(_243840, n1), -(_243840 = n0), -(_243840 = n1)], (991 ^ _205727) ^ [_244203] : [leq(n0, _244203), leq(_244203, n2), -(_244203 = n0), -(_244203 = n1), -(_244203 = n2)], (1031 ^ _205727) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _205727) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _205727) ^ [] : [-(succ(n0) = n1)], (1037 ^ _205727) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _205727) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _205727) ^ [_244652] : [leq(n0, _244652), leq(_244652, n3), -(_244652 = n0), -(_244652 = n1), -(_244652 = n2), -(_244652 = n3)], (264 ^ _205727) ^ [_215199, _215201] : [-(gt(_215201, _215199)), -(gt(_215199, _215201)), -(_215201 = _215199)], (274 ^ _205727) ^ [_215514, _215516, _215518] : [-(gt(_215518, _215514)), gt(_215518, _215516), gt(_215516, _215514)], (284 ^ _205727) ^ [_215793] : [gt(_215793, _215793)], (286 ^ _205727) ^ [_215871] : [-(leq(_215871, _215871))], (288 ^ _205727) ^ [_215992, _215994, _215996] : [-(leq(_215996, _215992)), leq(_215996, _215994), leq(_215994, _215992)], (298 ^ _205727) ^ [_216330, _216332] : [lt(_216332, _216330), -(gt(_216330, _216332))], (304 ^ _205727) ^ [_216492, _216494] : [gt(_216492, _216494), -(lt(_216494, _216492))], (310 ^ _205727) ^ [_216733, _216735] : [geq(_216735, _216733), -(leq(_216733, _216735))], (316 ^ _205727) ^ [_216895, _216897] : [leq(_216895, _216897), -(geq(_216897, _216895))], (322 ^ _205727) ^ [_217107, _217109] : [gt(_217107, _217109), -(leq(_217109, _217107))], (328 ^ _205727) ^ [_217317, _217319] : [-(gt(_217317, _217319)), leq(_217319, _217317), -(_217319 = _217317)], (338 ^ _205727) ^ [_217648, _217650] : [leq(_217650, pred(_217648)), -(gt(_217648, _217650))], (344 ^ _205727) ^ [_217814, _217816] : [gt(_217814, _217816), -(leq(_217816, pred(_217814)))], (350 ^ _205727) ^ [_218001] : [-(gt(succ(_218001), _218001))], (352 ^ _205727) ^ [_218110, _218112] : [leq(_218112, _218110), -(leq(_218112, succ(_218110)))], (358 ^ _205727) ^ [_218353, _218355] : [leq(_218355, _218353), -(gt(succ(_218353), _218355))], (364 ^ _205727) ^ [_218519, _218521] : [gt(succ(_218519), _218521), -(leq(_218521, _218519))], (370 ^ _205727) ^ [_218735, _218737] : [leq(n0, _218737), -(leq(uniform_int_rnd(_218735, _218737), _218737))], (376 ^ _205727) ^ [_218951, _218953] : [leq(n0, _218953), -(leq(n0, uniform_int_rnd(_218951, _218953)))], (382 ^ _205727) ^ [_219195, _219197, _219199, _219201] : [-(a_select2(tptp_const_array1(dim(_219199, _219197), _219195), _219201) = _219195), leq(_219199, _219201), leq(_219201, _219197)], (392 ^ _205727) ^ [_219602, _219604, _219606, _219608, _219610, _219612, _219614] : [-(a_select3(tptp_const_array2(dim(_219612, _219610), dim(_219606, _219604), _219602), _219614, _219608) = _219602), leq(_219612, _219614), leq(_219614, _219610), leq(_219606, _219608), leq(_219608, _219604)], (410 ^ _205727) ^ [_220197, _220199] : [413 ^ _205727 : [(414 ^ _205727) ^ [] : [-(leq(n0, 411 ^ [_220197, _220199]))], (416 ^ _205727) ^ [] : [-(leq(411 ^ [_220197, _220199], _220197))], (418 ^ _205727) ^ [] : [-(leq(n0, 412 ^ [_220197, _220199]))], (420 ^ _205727) ^ [] : [-(leq(412 ^ [_220197, _220199], _220197))], (422 ^ _205727) ^ [] : [a_select3(_220199, 411 ^ [_220197, _220199], 412 ^ [_220197, _220199]) = a_select3(_220199, 412 ^ [_220197, _220199], 411 ^ [_220197, _220199])]], 423 ^ _205727 : [(424 ^ _205727) ^ [_220954, _220956] : [-(a_select3(trans(_220199), _220956, _220954) = a_select3(trans(_220199), _220954, _220956)), leq(n0, _220956), leq(_220956, _220197), leq(n0, _220954), leq(_220954, _220197)]]], (442 ^ _205727) ^ [_221501, _221503] : [445 ^ _205727 : [(446 ^ _205727) ^ [] : [-(leq(n0, 443 ^ [_221501, _221503]))], (448 ^ _205727) ^ [] : [-(leq(443 ^ [_221501, _221503], _221501))], (450 ^ _205727) ^ [] : [-(leq(n0, 444 ^ [_221501, _221503]))], (452 ^ _205727) ^ [] : [-(leq(444 ^ [_221501, _221503], _221501))], (454 ^ _205727) ^ [] : [a_select3(_221503, 443 ^ [_221501, _221503], 444 ^ [_221501, _221503]) = a_select3(_221503, 444 ^ [_221501, _221503], 443 ^ [_221501, _221503])]], 455 ^ _205727 : [(456 ^ _205727) ^ [_222258, _222260] : [-(a_select3(inv(_221503), _222260, _222258) = a_select3(inv(_221503), _222258, _222260)), leq(n0, _222260), leq(_222260, _221501), leq(n0, _222258), leq(_222258, _221501)]]], (474 ^ _205727) ^ [_222805, _222807] : [477 ^ _205727 : [(478 ^ _205727) ^ [] : [-(leq(n0, 475 ^ [_222805, _222807]))], (480 ^ _205727) ^ [] : [-(leq(475 ^ [_222805, _222807], _222805))], (482 ^ _205727) ^ [] : [-(leq(n0, 476 ^ [_222805, _222807]))], (484 ^ _205727) ^ [] : [-(leq(476 ^ [_222805, _222807], _222805))], (486 ^ _205727) ^ [] : [a_select3(_222807, 475 ^ [_222805, _222807], 476 ^ [_222805, _222807]) = a_select3(_222807, 476 ^ [_222805, _222807], 475 ^ [_222805, _222807])]], 487 ^ _205727 : [(488 ^ _205727) ^ [_223618, _223620, _223622, _223624] : [-(a_select3(tptp_update3(_222807, _223620, _223620, _223618), _223624, _223622) = a_select3(tptp_update3(_222807, _223620, _223620, _223618), _223622, _223624)), leq(n0, _223624), leq(_223624, _222805), leq(n0, _223622), leq(_223622, _222805), leq(n0, _223620), leq(_223620, _222805)]]], (514 ^ _205727) ^ [_224437, _224439, _224441] : [519 ^ _205727 : [(520 ^ _205727) ^ [] : [-(leq(n0, 517 ^ [_224437, _224439, _224441]))], (522 ^ _205727) ^ [] : [-(leq(517 ^ [_224437, _224439, _224441], _224437))], (524 ^ _205727) ^ [] : [-(leq(n0, 518 ^ [_224437, _224439, _224441]))], (526 ^ _205727) ^ [] : [-(leq(518 ^ [_224437, _224439, _224441], _224437))], (528 ^ _205727) ^ [] : [a_select3(_224441, 517 ^ [_224437, _224439, _224441], 518 ^ [_224437, _224439, _224441]) = a_select3(_224441, 518 ^ [_224437, _224439, _224441], 517 ^ [_224437, _224439, _224441])]], 531 ^ _205727 : [(532 ^ _205727) ^ [] : [-(leq(n0, 529 ^ [_224437, _224439, _224441]))], (534 ^ _205727) ^ [] : [-(leq(529 ^ [_224437, _224439, _224441], _224437))], (536 ^ _205727) ^ [] : [-(leq(n0, 530 ^ [_224437, _224439, _224441]))], (538 ^ _205727) ^ [] : [-(leq(530 ^ [_224437, _224439, _224441], _224437))], (540 ^ _205727) ^ [] : [a_select3(_224439, 529 ^ [_224437, _224439, _224441], 530 ^ [_224437, _224439, _224441]) = a_select3(_224439, 530 ^ [_224437, _224439, _224441], 529 ^ [_224437, _224439, _224441])]], 541 ^ _205727 : [(542 ^ _205727) ^ [_225946, _225948] : [-(a_select3(tptp_madd(_224441, _224439), _225948, _225946) = a_select3(tptp_madd(_224441, _224439), _225946, _225948)), leq(n0, _225948), leq(_225948, _224437), leq(n0, _225946), leq(_225946, _224437)]]], (560 ^ _205727) ^ [_226532, _226534, _226536] : [565 ^ _205727 : [(566 ^ _205727) ^ [] : [-(leq(n0, 563 ^ [_226532, _226534, _226536]))], (568 ^ _205727) ^ [] : [-(leq(563 ^ [_226532, _226534, _226536], _226532))], (570 ^ _205727) ^ [] : [-(leq(n0, 564 ^ [_226532, _226534, _226536]))], (572 ^ _205727) ^ [] : [-(leq(564 ^ [_226532, _226534, _226536], _226532))], (574 ^ _205727) ^ [] : [a_select3(_226536, 563 ^ [_226532, _226534, _226536], 564 ^ [_226532, _226534, _226536]) = a_select3(_226536, 564 ^ [_226532, _226534, _226536], 563 ^ [_226532, _226534, _226536])]], 577 ^ _205727 : [(578 ^ _205727) ^ [] : [-(leq(n0, 575 ^ [_226532, _226534, _226536]))], (580 ^ _205727) ^ [] : [-(leq(575 ^ [_226532, _226534, _226536], _226532))], (582 ^ _205727) ^ [] : [-(leq(n0, 576 ^ [_226532, _226534, _226536]))], (584 ^ _205727) ^ [] : [-(leq(576 ^ [_226532, _226534, _226536], _226532))], (586 ^ _205727) ^ [] : [a_select3(_226534, 575 ^ [_226532, _226534, _226536], 576 ^ [_226532, _226534, _226536]) = a_select3(_226534, 576 ^ [_226532, _226534, _226536], 575 ^ [_226532, _226534, _226536])]], 587 ^ _205727 : [(588 ^ _205727) ^ [_228041, _228043] : [-(a_select3(tptp_msub(_226536, _226534), _228043, _228041) = a_select3(tptp_msub(_226536, _226534), _228041, _228043)), leq(n0, _228043), leq(_228043, _226532), leq(n0, _228041), leq(_228041, _226532)]]], (606 ^ _205727) ^ [_228627, _228629, _228631] : [609 ^ _205727 : [(610 ^ _205727) ^ [] : [-(leq(n0, 607 ^ [_228627, _228629, _228631]))], (612 ^ _205727) ^ [] : [-(leq(607 ^ [_228627, _228629, _228631], _228627))], (614 ^ _205727) ^ [] : [-(leq(n0, 608 ^ [_228627, _228629, _228631]))], (616 ^ _205727) ^ [] : [-(leq(608 ^ [_228627, _228629, _228631], _228627))], (618 ^ _205727) ^ [] : [a_select3(_228629, 607 ^ [_228627, _228629, _228631], 608 ^ [_228627, _228629, _228631]) = a_select3(_228629, 608 ^ [_228627, _228629, _228631], 607 ^ [_228627, _228629, _228631])]], 619 ^ _205727 : [(620 ^ _205727) ^ [_229440, _229442] : [-(a_select3(tptp_mmul(_228631, tptp_mmul(_228629, trans(_228631))), _229442, _229440) = a_select3(tptp_mmul(_228631, tptp_mmul(_228629, trans(_228631))), _229440, _229442)), leq(n0, _229442), leq(_229442, _228627), leq(n0, _229440), leq(_229440, _228627)]]], (638 ^ _205727) ^ [_230059, _230061, _230063, _230065] : [641 ^ _205727 : [(642 ^ _205727) ^ [] : [-(leq(n0, 639 ^ [_230059, _230061, _230063, _230065]))], (644 ^ _205727) ^ [] : [-(leq(639 ^ [_230059, _230061, _230063, _230065], _230059))], (646 ^ _205727) ^ [] : [-(leq(n0, 640 ^ [_230059, _230061, _230063, _230065]))], (648 ^ _205727) ^ [] : [-(leq(640 ^ [_230059, _230061, _230063, _230065], _230059))], (650 ^ _205727) ^ [] : [a_select3(_230063, 639 ^ [_230059, _230061, _230063, _230065], 640 ^ [_230059, _230061, _230063, _230065]) = a_select3(_230063, 640 ^ [_230059, _230061, _230063, _230065], 639 ^ [_230059, _230061, _230063, _230065])]], 651 ^ _205727 : [(652 ^ _205727) ^ [_230916, _230918] : [-(a_select3(tptp_mmul(_230065, tptp_mmul(_230063, trans(_230065))), _230918, _230916) = a_select3(tptp_mmul(_230065, tptp_mmul(_230063, trans(_230065))), _230916, _230918)), leq(n0, _230918), leq(_230918, _230061), leq(n0, _230916), leq(_230916, _230061)]]], (670 ^ _205727) ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625] : [675 ^ _205727 : [(676 ^ _205727) ^ [] : [-(leq(n0, 673 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (678 ^ _205727) ^ [] : [-(leq(673 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231611))], (680 ^ _205727) ^ [] : [-(leq(n0, 674 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (682 ^ _205727) ^ [] : [-(leq(674 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231611))], (684 ^ _205727) ^ [] : [a_select3(_231619, 673 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 674 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]) = a_select3(_231619, 674 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 673 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625])]], 689 ^ _205727 : [(690 ^ _205727) ^ [] : [-(leq(n0, 687 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (692 ^ _205727) ^ [] : [-(leq(687 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231613))], (694 ^ _205727) ^ [] : [-(leq(n0, 688 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (696 ^ _205727) ^ [] : [-(leq(688 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231613))], (698 ^ _205727) ^ [] : [a_select3(_231625, 687 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 688 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]) = a_select3(_231625, 688 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 687 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625])]], 701 ^ _205727 : [(702 ^ _205727) ^ [] : [-(leq(n0, 699 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (704 ^ _205727) ^ [] : [-(leq(699 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231613))], (706 ^ _205727) ^ [] : [-(leq(n0, 700 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]))], (708 ^ _205727) ^ [] : [-(leq(700 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], _231613))], (710 ^ _205727) ^ [] : [a_select3(_231615, 699 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 700 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625]) = a_select3(_231615, 700 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625], 699 ^ [_231611, _231613, _231615, _231617, _231619, _231621, _231623, _231625])]], 711 ^ _205727 : [(712 ^ _205727) ^ [_234539, _234541] : [-(a_select3(tptp_madd(_231625, tptp_mmul(_231623, tptp_mmul(tptp_madd(tptp_mmul(_231621, tptp_mmul(_231619, trans(_231621))), tptp_mmul(_231617, tptp_mmul(_231615, trans(_231617)))), trans(_231623)))), _234541, _234539) = a_select3(tptp_madd(_231625, tptp_mmul(_231623, tptp_mmul(tptp_madd(tptp_mmul(_231621, tptp_mmul(_231619, trans(_231621))), tptp_mmul(_231617, tptp_mmul(_231615, trans(_231617)))), trans(_231623)))), _234539, _234541)), leq(n0, _234541), leq(_234541, _231613), leq(n0, _234539), leq(_234539, _231613)]]], (730 ^ _205727) ^ [_235292] : [-(sum(n0, tptp_minus_1, _235292) = n0)], (732 ^ _205727) ^ [_235374] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _235374))], (734 ^ _205727) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _205727) ^ [_235509] : [-(plus(_235509, n1) = succ(_235509))], (738 ^ _205727) ^ [_235592] : [-(plus(n1, _235592) = succ(_235592))], (740 ^ _205727) ^ [_235675] : [-(plus(_235675, n2) = succ(succ(_235675)))], (742 ^ _205727) ^ [_235760] : [-(plus(n2, _235760) = succ(succ(_235760)))], (744 ^ _205727) ^ [_235845] : [-(plus(_235845, n3) = succ(succ(succ(_235845))))], (746 ^ _205727) ^ [_235932] : [-(plus(n3, _235932) = succ(succ(succ(_235932))))], (748 ^ _205727) ^ [_236019] : [-(plus(_236019, n4) = succ(succ(succ(succ(_236019)))))], (750 ^ _205727) ^ [_236108] : [-(plus(n4, _236108) = succ(succ(succ(succ(_236108)))))], (752 ^ _205727) ^ [_236197] : [-(plus(_236197, n5) = succ(succ(succ(succ(succ(_236197))))))], (754 ^ _205727) ^ [_236288] : [-(plus(n5, _236288) = succ(succ(succ(succ(succ(_236288))))))], (756 ^ _205727) ^ [_236379] : [-(minus(_236379, n1) = pred(_236379))], (758 ^ _205727) ^ [_236462] : [-(pred(succ(_236462)) = _236462)], (760 ^ _205727) ^ [_236544] : [-(succ(pred(_236544)) = _236544)], (762 ^ _205727) ^ [_236684, _236686] : [leq(succ(_236686), succ(_236684)), -(leq(_236686, _236684))], (768 ^ _205727) ^ [_236854, _236856] : [leq(_236856, _236854), -(leq(succ(_236856), succ(_236854)))], (774 ^ _205727) ^ [_237074, _237076] : [leq(succ(_237076), _237074), -(gt(_237074, _237076))], (780 ^ _205727) ^ [_237288, _237290] : [leq(minus(_237290, _237288), _237290), -(leq(n0, _237288))], (786 ^ _205727) ^ [_237517, _237519, _237521, _237523] : [-(a_select3(tptp_update3(_237523, _237521, _237519, _237517), _237521, _237519) = _237517)], (788 ^ _205727) ^ [_237709, _237711, _237713, _237715, _237717, _237719, _237721] : [-(a_select3(tptp_update3(_237713, _237721, _237719, _237709), _237717, _237715) = _237711), -(_237721 = _237717), _237719 = _237715, a_select3(_237713, _237717, _237715) = _237711], (802 ^ _205727) ^ [_238252, _238254, _238256, _238258, _238260, _238262] : [-(a_select3(tptp_update3(_238254, _238258, _238256, _238252), _238262, _238260) = _238252), 807 ^ _205727 : [(808 ^ _205727) ^ [] : [-(leq(n0, 805 ^ [_238252, _238254, _238256, _238258, _238260, _238262]))], (810 ^ _205727) ^ [] : [-(leq(n0, 806 ^ [_238252, _238254, _238256, _238258, _238260, _238262]))], (812 ^ _205727) ^ [] : [-(leq(805 ^ [_238252, _238254, _238256, _238258, _238260, _238262], _238258))], (814 ^ _205727) ^ [] : [-(leq(806 ^ [_238252, _238254, _238256, _238258, _238260, _238262], _238256))], (816 ^ _205727) ^ [] : [a_select3(_238254, 805 ^ [_238252, _238254, _238256, _238258, _238260, _238262], 806 ^ [_238252, _238254, _238256, _238258, _238260, _238262]) = _238252]], leq(n0, _238262), leq(_238262, _238258), leq(n0, _238260), leq(_238260, _238256)], (834 ^ _205727) ^ [_239594, _239596, _239598] : [-(a_select2(tptp_update2(_239598, _239596, _239594), _239596) = _239594)], (836 ^ _205727) ^ [_239754, _239756, _239758, _239760, _239762] : [-(a_select2(tptp_update2(_239758, _239762, _239754), _239760) = _239756), -(_239762 = _239760), a_select2(_239758, _239760) = _239756], (865 ^ _205727) ^ [] : [-(true)], (867 ^ _205727) ^ [] : [def = use], (846 ^ _205727) ^ [_240134, _240136, _240138, _240140] : [-(a_select2(tptp_update2(_240136, _240138, _240134), _240140) = _240134), 850 ^ _205727 : [(851 ^ _205727) ^ [] : [-(leq(n0, 849 ^ [_240134, _240136, _240138, _240140]))], (853 ^ _205727) ^ [] : [-(leq(849 ^ [_240134, _240136, _240138, _240140], _240138))], (855 ^ _205727) ^ [] : [a_select2(_240136, 849 ^ [_240134, _240136, _240138, _240140]) = _240134]], leq(n0, _240140), leq(_240140, _240138)]], input).
% 0.35/1.37 ncf('1',plain,[true],start(1127 ^ 0)).
% 0.35/1.37 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.35/1.37 %-----------------------------------------------------
% 0.35/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------