%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV078+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 12:19:55 EDT 2023

% Result   : Theorem 0.34s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV078+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n002.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri May 19 03:07:19 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1041 ^ _196443) ^ [] : [-(leq(n0, pv31))], (1043 ^ _196443) ^ [] : [-(leq(pv31, minus(n5, n1)))], (1045 ^ _196443) ^ [] : [1054 ^ _196443 : [(1055 ^ _196443) ^ [] : [-(n0 = pv70)], (1057 ^ _196443) ^ [] : [true]], 1046 ^ _196443 : [(1047 ^ _196443) ^ [] : [n0 = pv70], (1049 ^ _196443) ^ [] : [leq(n0, pv31), leq(pv31, minus(n5, n1))]]], (2 ^ _196443) ^ [_196587] : [-(_196587 = _196587)], (4 ^ _196443) ^ [_196694, _196696] : [_196696 = _196694, -(_196694 = _196696)], (10 ^ _196443) ^ [_196898, _196900, _196902] : [-(_196902 = _196898), _196902 = _196900, _196900 = _196898], (20 ^ _196443) ^ [_197239, _197241, _197243, _197245] : [-(lt(_197243, _197239)), lt(_197245, _197241), _197245 = _197243, _197241 = _197239], (34 ^ _196443) ^ [_197683, _197685, _197687, _197689] : [-(geq(_197687, _197683)), geq(_197689, _197685), _197689 = _197687, _197685 = _197683], (48 ^ _196443) ^ [_198127, _198129, _198131, _198133] : [-(gt(_198131, _198127)), gt(_198133, _198129), _198133 = _198131, _198129 = _198127], (62 ^ _196443) ^ [_198551, _198553, _198555, _198557] : [-(leq(_198555, _198551)), leq(_198557, _198553), _198557 = _198555, _198553 = _198551], (76 ^ _196443) ^ [_199007, _199009, _199011, _199013] : [-(uniform_int_rnd(_199013, _199009) = uniform_int_rnd(_199011, _199007)), _199013 = _199011, _199009 = _199007], (86 ^ _196443) ^ [_199366, _199368, _199370, _199372] : [-(tptp_const_array1(_199372, _199368) = tptp_const_array1(_199370, _199366)), _199372 = _199370, _199368 = _199366], (96 ^ _196443) ^ [_199753, _199755, _199757, _199759, _199761, _199763] : [-(tptp_const_array2(_199763, _199759, _199755) = tptp_const_array2(_199761, _199757, _199753)), _199763 = _199761, _199759 = _199757, _199755 = _199753], (110 ^ _196443) ^ [_200241, _200243, _200245, _200247] : [-(dim(_200247, _200243) = dim(_200245, _200241)), _200247 = _200245, _200243 = _200241], (120 ^ _196443) ^ [_200572, _200574] : [_200574 = _200572, -(inv(_200574) = inv(_200572))], (126 ^ _196443) ^ [_200818, _200820, _200822, _200824] : [-(tptp_msub(_200824, _200820) = tptp_msub(_200822, _200818)), _200824 = _200822, _200820 = _200818], (136 ^ _196443) ^ [_201177, _201179, _201181, _201183] : [-(tptp_madd(_201183, _201179) = tptp_madd(_201181, _201177)), _201183 = _201181, _201179 = _201177], (146 ^ _196443) ^ [_201536, _201538, _201540, _201542] : [-(tptp_mmul(_201542, _201538) = tptp_mmul(_201540, _201536)), _201542 = _201540, _201538 = _201536], (156 ^ _196443) ^ [_201867, _201869] : [_201869 = _201867, -(trans(_201869) = trans(_201867))], (162 ^ _196443) ^ [_202141, _202143, _202145, _202147, _202149, _202151] : [-(sum(_202151, _202147, _202143) = sum(_202149, _202145, _202141)), _202151 = _202149, _202147 = _202145, _202143 = _202141], (176 ^ _196443) ^ [_202629, _202631, _202633, _202635] : [-(plus(_202635, _202631) = plus(_202633, _202629)), _202635 = _202633, _202631 = _202629], (186 ^ _196443) ^ [_202960, _202962] : [_202962 = _202960, -(pred(_202962) = pred(_202960))], (192 ^ _196443) ^ [_203234, _203236, _203238, _203240, _203242, _203244] : [-(a_select3(_203244, _203240, _203236) = a_select3(_203242, _203238, _203234)), _203244 = _203242, _203240 = _203238, _203236 = _203234], (206 ^ _196443) ^ [_203778, _203780, _203782, _203784, _203786, _203788, _203790, _203792] : [-(tptp_update3(_203792, _203788, _203784, _203780) = tptp_update3(_203790, _203786, _203782, _203778)), _203792 = _203790, _203788 = _203786, _203784 = _203782, _203780 = _203778], (224 ^ _196443) ^ [_204411, _204413, _204415, _204417] : [-(a_select2(_204417, _204413) = a_select2(_204415, _204411)), _204417 = _204415, _204413 = _204411], (234 ^ _196443) ^ [_204798, _204800, _204802, _204804, _204806, _204808] : [-(tptp_update2(_204808, _204804, _204800) = tptp_update2(_204806, _204802, _204798)), _204808 = _204806, _204804 = _204802, _204800 = _204798], (248 ^ _196443) ^ [_205258, _205260] : [_205260 = _205258, -(succ(_205260) = succ(_205258))], (254 ^ _196443) ^ [_205484, _205486, _205488, _205490] : [-(minus(_205490, _205486) = minus(_205488, _205484)), _205490 = _205488, _205486 = _205484], (869 ^ _196443) ^ [] : [-(gt(n5, n4))], (871 ^ _196443) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _196443) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _196443) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _196443) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _196443) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _196443) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _196443) ^ [] : [-(gt(n4, n0))], (885 ^ _196443) ^ [] : [-(gt(n5, n0))], (887 ^ _196443) ^ [] : [-(gt(n1, n0))], (889 ^ _196443) ^ [] : [-(gt(n2, n0))], (891 ^ _196443) ^ [] : [-(gt(n3, n0))], (893 ^ _196443) ^ [] : [-(gt(n4, n1))], (895 ^ _196443) ^ [] : [-(gt(n5, n1))], (897 ^ _196443) ^ [] : [-(gt(n2, n1))], (899 ^ _196443) ^ [] : [-(gt(n3, n1))], (901 ^ _196443) ^ [] : [-(gt(n4, n2))], (903 ^ _196443) ^ [] : [-(gt(n5, n2))], (905 ^ _196443) ^ [] : [-(gt(n3, n2))], (907 ^ _196443) ^ [] : [-(gt(n4, n3))], (909 ^ _196443) ^ [] : [-(gt(n5, n3))], (911 ^ _196443) ^ [_232953] : [leq(n0, _232953), leq(_232953, n4), -(_232953 = n0), -(_232953 = n1), -(_232953 = n2), -(_232953 = n3), -(_232953 = n4)], (937 ^ _196443) ^ [_233574] : [leq(n0, _233574), leq(_233574, n5), -(_233574 = n0), -(_233574 = n1), -(_233574 = n2), -(_233574 = n3), -(_233574 = n4), -(_233574 = n5)], (967 ^ _196443) ^ [_234281] : [-(_234281 = n0), leq(n0, _234281), leq(_234281, n0)], (977 ^ _196443) ^ [_234556] : [leq(n0, _234556), leq(_234556, n1), -(_234556 = n0), -(_234556 = n1)], (991 ^ _196443) ^ [_234919] : [leq(n0, _234919), leq(_234919, n2), -(_234919 = n0), -(_234919 = n1), -(_234919 = n2)], (1031 ^ _196443) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _196443) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _196443) ^ [] : [-(succ(n0) = n1)], (1037 ^ _196443) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _196443) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _196443) ^ [_235368] : [leq(n0, _235368), leq(_235368, n3), -(_235368 = n0), -(_235368 = n1), -(_235368 = n2), -(_235368 = n3)], (264 ^ _196443) ^ [_205915, _205917] : [-(gt(_205917, _205915)), -(gt(_205915, _205917)), -(_205917 = _205915)], (274 ^ _196443) ^ [_206230, _206232, _206234] : [-(gt(_206234, _206230)), gt(_206234, _206232), gt(_206232, _206230)], (284 ^ _196443) ^ [_206509] : [gt(_206509, _206509)], (286 ^ _196443) ^ [_206587] : [-(leq(_206587, _206587))], (288 ^ _196443) ^ [_206708, _206710, _206712] : [-(leq(_206712, _206708)), leq(_206712, _206710), leq(_206710, _206708)], (298 ^ _196443) ^ [_207046, _207048] : [lt(_207048, _207046), -(gt(_207046, _207048))], (304 ^ _196443) ^ [_207208, _207210] : [gt(_207208, _207210), -(lt(_207210, _207208))], (310 ^ _196443) ^ [_207449, _207451] : [geq(_207451, _207449), -(leq(_207449, _207451))], (316 ^ _196443) ^ [_207611, _207613] : [leq(_207611, _207613), -(geq(_207613, _207611))], (322 ^ _196443) ^ [_207823, _207825] : [gt(_207823, _207825), -(leq(_207825, _207823))], (328 ^ _196443) ^ [_208033, _208035] : [-(gt(_208033, _208035)), leq(_208035, _208033), -(_208035 = _208033)], (338 ^ _196443) ^ [_208364, _208366] : [leq(_208366, pred(_208364)), -(gt(_208364, _208366))], (344 ^ _196443) ^ [_208530, _208532] : [gt(_208530, _208532), -(leq(_208532, pred(_208530)))], (350 ^ _196443) ^ [_208717] : [-(gt(succ(_208717), _208717))], (352 ^ _196443) ^ [_208826, _208828] : [leq(_208828, _208826), -(leq(_208828, succ(_208826)))], (358 ^ _196443) ^ [_209069, _209071] : [leq(_209071, _209069), -(gt(succ(_209069), _209071))], (364 ^ _196443) ^ [_209235, _209237] : [gt(succ(_209235), _209237), -(leq(_209237, _209235))], (370 ^ _196443) ^ [_209451, _209453] : [leq(n0, _209453), -(leq(uniform_int_rnd(_209451, _209453), _209453))], (376 ^ _196443) ^ [_209667, _209669] : [leq(n0, _209669), -(leq(n0, uniform_int_rnd(_209667, _209669)))], (382 ^ _196443) ^ [_209911, _209913, _209915, _209917] : [-(a_select2(tptp_const_array1(dim(_209915, _209913), _209911), _209917) = _209911), leq(_209915, _209917), leq(_209917, _209913)], (392 ^ _196443) ^ [_210318, _210320, _210322, _210324, _210326, _210328, _210330] : [-(a_select3(tptp_const_array2(dim(_210328, _210326), dim(_210322, _210320), _210318), _210330, _210324) = _210318), leq(_210328, _210330), leq(_210330, _210326), leq(_210322, _210324), leq(_210324, _210320)], (410 ^ _196443) ^ [_210913, _210915] : [413 ^ _196443 : [(414 ^ _196443) ^ [] : [-(leq(n0, 411 ^ [_210913, _210915]))], (416 ^ _196443) ^ [] : [-(leq(411 ^ [_210913, _210915], _210913))], (418 ^ _196443) ^ [] : [-(leq(n0, 412 ^ [_210913, _210915]))], (420 ^ _196443) ^ [] : [-(leq(412 ^ [_210913, _210915], _210913))], (422 ^ _196443) ^ [] : [a_select3(_210915, 411 ^ [_210913, _210915], 412 ^ [_210913, _210915]) = a_select3(_210915, 412 ^ [_210913, _210915], 411 ^ [_210913, _210915])]], 423 ^ _196443 : [(424 ^ _196443) ^ [_211670, _211672] : [-(a_select3(trans(_210915), _211672, _211670) = a_select3(trans(_210915), _211670, _211672)), leq(n0, _211672), leq(_211672, _210913), leq(n0, _211670), leq(_211670, _210913)]]], (442 ^ _196443) ^ [_212217, _212219] : [445 ^ _196443 : [(446 ^ _196443) ^ [] : [-(leq(n0, 443 ^ [_212217, _212219]))], (448 ^ _196443) ^ [] : [-(leq(443 ^ [_212217, _212219], _212217))], (450 ^ _196443) ^ [] : [-(leq(n0, 444 ^ [_212217, _212219]))], (452 ^ _196443) ^ [] : [-(leq(444 ^ [_212217, _212219], _212217))], (454 ^ _196443) ^ [] : [a_select3(_212219, 443 ^ [_212217, _212219], 444 ^ [_212217, _212219]) = a_select3(_212219, 444 ^ [_212217, _212219], 443 ^ [_212217, _212219])]], 455 ^ _196443 : [(456 ^ _196443) ^ [_212974, _212976] : [-(a_select3(inv(_212219), _212976, _212974) = a_select3(inv(_212219), _212974, _212976)), leq(n0, _212976), leq(_212976, _212217), leq(n0, _212974), leq(_212974, _212217)]]], (474 ^ _196443) ^ [_213521, _213523] : [477 ^ _196443 : [(478 ^ _196443) ^ [] : [-(leq(n0, 475 ^ [_213521, _213523]))], (480 ^ _196443) ^ [] : [-(leq(475 ^ [_213521, _213523], _213521))], (482 ^ _196443) ^ [] : [-(leq(n0, 476 ^ [_213521, _213523]))], (484 ^ _196443) ^ [] : [-(leq(476 ^ [_213521, _213523], _213521))], (486 ^ _196443) ^ [] : [a_select3(_213523, 475 ^ [_213521, _213523], 476 ^ [_213521, _213523]) = a_select3(_213523, 476 ^ [_213521, _213523], 475 ^ [_213521, _213523])]], 487 ^ _196443 : [(488 ^ _196443) ^ [_214334, _214336, _214338, _214340] : [-(a_select3(tptp_update3(_213523, _214336, _214336, _214334), _214340, _214338) = a_select3(tptp_update3(_213523, _214336, _214336, _214334), _214338, _214340)), leq(n0, _214340), leq(_214340, _213521), leq(n0, _214338), leq(_214338, _213521), leq(n0, _214336), leq(_214336, _213521)]]], (514 ^ _196443) ^ [_215153, _215155, _215157] : [519 ^ _196443 : [(520 ^ _196443) ^ [] : [-(leq(n0, 517 ^ [_215153, _215155, _215157]))], (522 ^ _196443) ^ [] : [-(leq(517 ^ [_215153, _215155, _215157], _215153))], (524 ^ _196443) ^ [] : [-(leq(n0, 518 ^ [_215153, _215155, _215157]))], (526 ^ _196443) ^ [] : [-(leq(518 ^ [_215153, _215155, _215157], _215153))], (528 ^ _196443) ^ [] : [a_select3(_215157, 517 ^ [_215153, _215155, _215157], 518 ^ [_215153, _215155, _215157]) = a_select3(_215157, 518 ^ [_215153, _215155, _215157], 517 ^ [_215153, _215155, _215157])]], 531 ^ _196443 : [(532 ^ _196443) ^ [] : [-(leq(n0, 529 ^ [_215153, _215155, _215157]))], (534 ^ _196443) ^ [] : [-(leq(529 ^ [_215153, _215155, _215157], _215153))], (536 ^ _196443) ^ [] : [-(leq(n0, 530 ^ [_215153, _215155, _215157]))], (538 ^ _196443) ^ [] : [-(leq(530 ^ [_215153, _215155, _215157], _215153))], (540 ^ _196443) ^ [] : [a_select3(_215155, 529 ^ [_215153, _215155, _215157], 530 ^ [_215153, _215155, _215157]) = a_select3(_215155, 530 ^ [_215153, _215155, _215157], 529 ^ [_215153, _215155, _215157])]], 541 ^ _196443 : [(542 ^ _196443) ^ [_216662, _216664] : [-(a_select3(tptp_madd(_215157, _215155), _216664, _216662) = a_select3(tptp_madd(_215157, _215155), _216662, _216664)), leq(n0, _216664), leq(_216664, _215153), leq(n0, _216662), leq(_216662, _215153)]]], (560 ^ _196443) ^ [_217248, _217250, _217252] : [565 ^ _196443 : [(566 ^ _196443) ^ [] : [-(leq(n0, 563 ^ [_217248, _217250, _217252]))], (568 ^ _196443) ^ [] : [-(leq(563 ^ [_217248, _217250, _217252], _217248))], (570 ^ _196443) ^ [] : [-(leq(n0, 564 ^ [_217248, _217250, _217252]))], (572 ^ _196443) ^ [] : [-(leq(564 ^ [_217248, _217250, _217252], _217248))], (574 ^ _196443) ^ [] : [a_select3(_217252, 563 ^ [_217248, _217250, _217252], 564 ^ [_217248, _217250, _217252]) = a_select3(_217252, 564 ^ [_217248, _217250, _217252], 563 ^ [_217248, _217250, _217252])]], 577 ^ _196443 : [(578 ^ _196443) ^ [] : [-(leq(n0, 575 ^ [_217248, _217250, _217252]))], (580 ^ _196443) ^ [] : [-(leq(575 ^ [_217248, _217250, _217252], _217248))], (582 ^ _196443) ^ [] : [-(leq(n0, 576 ^ [_217248, _217250, _217252]))], (584 ^ _196443) ^ [] : [-(leq(576 ^ [_217248, _217250, _217252], _217248))], (586 ^ _196443) ^ [] : [a_select3(_217250, 575 ^ [_217248, _217250, _217252], 576 ^ [_217248, _217250, _217252]) = a_select3(_217250, 576 ^ [_217248, _217250, _217252], 575 ^ [_217248, _217250, _217252])]], 587 ^ _196443 : [(588 ^ _196443) ^ [_218757, _218759] : [-(a_select3(tptp_msub(_217252, _217250), _218759, _218757) = a_select3(tptp_msub(_217252, _217250), _218757, _218759)), leq(n0, _218759), leq(_218759, _217248), leq(n0, _218757), leq(_218757, _217248)]]], (606 ^ _196443) ^ [_219343, _219345, _219347] : [609 ^ _196443 : [(610 ^ _196443) ^ [] : [-(leq(n0, 607 ^ [_219343, _219345, _219347]))], (612 ^ _196443) ^ [] : [-(leq(607 ^ [_219343, _219345, _219347], _219343))], (614 ^ _196443) ^ [] : [-(leq(n0, 608 ^ [_219343, _219345, _219347]))], (616 ^ _196443) ^ [] : [-(leq(608 ^ [_219343, _219345, _219347], _219343))], (618 ^ _196443) ^ [] : [a_select3(_219345, 607 ^ [_219343, _219345, _219347], 608 ^ [_219343, _219345, _219347]) = a_select3(_219345, 608 ^ [_219343, _219345, _219347], 607 ^ [_219343, _219345, _219347])]], 619 ^ _196443 : [(620 ^ _196443) ^ [_220156, _220158] : [-(a_select3(tptp_mmul(_219347, tptp_mmul(_219345, trans(_219347))), _220158, _220156) = a_select3(tptp_mmul(_219347, tptp_mmul(_219345, trans(_219347))), _220156, _220158)), leq(n0, _220158), leq(_220158, _219343), leq(n0, _220156), leq(_220156, _219343)]]], (638 ^ _196443) ^ [_220775, _220777, _220779, _220781] : [641 ^ _196443 : [(642 ^ _196443) ^ [] : [-(leq(n0, 639 ^ [_220775, _220777, _220779, _220781]))], (644 ^ _196443) ^ [] : [-(leq(639 ^ [_220775, _220777, _220779, _220781], _220775))], (646 ^ _196443) ^ [] : [-(leq(n0, 640 ^ [_220775, _220777, _220779, _220781]))], (648 ^ _196443) ^ [] : [-(leq(640 ^ [_220775, _220777, _220779, _220781], _220775))], (650 ^ _196443) ^ [] : [a_select3(_220779, 639 ^ [_220775, _220777, _220779, _220781], 640 ^ [_220775, _220777, _220779, _220781]) = a_select3(_220779, 640 ^ [_220775, _220777, _220779, _220781], 639 ^ [_220775, _220777, _220779, _220781])]], 651 ^ _196443 : [(652 ^ _196443) ^ [_221632, _221634] : [-(a_select3(tptp_mmul(_220781, tptp_mmul(_220779, trans(_220781))), _221634, _221632) = a_select3(tptp_mmul(_220781, tptp_mmul(_220779, trans(_220781))), _221632, _221634)), leq(n0, _221634), leq(_221634, _220777), leq(n0, _221632), leq(_221632, _220777)]]], (670 ^ _196443) ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341] : [675 ^ _196443 : [(676 ^ _196443) ^ [] : [-(leq(n0, 673 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (678 ^ _196443) ^ [] : [-(leq(673 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222327))], (680 ^ _196443) ^ [] : [-(leq(n0, 674 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (682 ^ _196443) ^ [] : [-(leq(674 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222327))], (684 ^ _196443) ^ [] : [a_select3(_222335, 673 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 674 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]) = a_select3(_222335, 674 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 673 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341])]], 689 ^ _196443 : [(690 ^ _196443) ^ [] : [-(leq(n0, 687 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (692 ^ _196443) ^ [] : [-(leq(687 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222329))], (694 ^ _196443) ^ [] : [-(leq(n0, 688 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (696 ^ _196443) ^ [] : [-(leq(688 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222329))], (698 ^ _196443) ^ [] : [a_select3(_222341, 687 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 688 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]) = a_select3(_222341, 688 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 687 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341])]], 701 ^ _196443 : [(702 ^ _196443) ^ [] : [-(leq(n0, 699 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (704 ^ _196443) ^ [] : [-(leq(699 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222329))], (706 ^ _196443) ^ [] : [-(leq(n0, 700 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]))], (708 ^ _196443) ^ [] : [-(leq(700 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], _222329))], (710 ^ _196443) ^ [] : [a_select3(_222331, 699 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 700 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341]) = a_select3(_222331, 700 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341], 699 ^ [_222327, _222329, _222331, _222333, _222335, _222337, _222339, _222341])]], 711 ^ _196443 : [(712 ^ _196443) ^ [_225255, _225257] : [-(a_select3(tptp_madd(_222341, tptp_mmul(_222339, tptp_mmul(tptp_madd(tptp_mmul(_222337, tptp_mmul(_222335, trans(_222337))), tptp_mmul(_222333, tptp_mmul(_222331, trans(_222333)))), trans(_222339)))), _225257, _225255) = a_select3(tptp_madd(_222341, tptp_mmul(_222339, tptp_mmul(tptp_madd(tptp_mmul(_222337, tptp_mmul(_222335, trans(_222337))), tptp_mmul(_222333, tptp_mmul(_222331, trans(_222333)))), trans(_222339)))), _225255, _225257)), leq(n0, _225257), leq(_225257, _222329), leq(n0, _225255), leq(_225255, _222329)]]], (730 ^ _196443) ^ [_226008] : [-(sum(n0, tptp_minus_1, _226008) = n0)], (732 ^ _196443) ^ [_226090] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _226090))], (734 ^ _196443) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196443) ^ [_226225] : [-(plus(_226225, n1) = succ(_226225))], (738 ^ _196443) ^ [_226308] : [-(plus(n1, _226308) = succ(_226308))], (740 ^ _196443) ^ [_226391] : [-(plus(_226391, n2) = succ(succ(_226391)))], (742 ^ _196443) ^ [_226476] : [-(plus(n2, _226476) = succ(succ(_226476)))], (744 ^ _196443) ^ [_226561] : [-(plus(_226561, n3) = succ(succ(succ(_226561))))], (746 ^ _196443) ^ [_226648] : [-(plus(n3, _226648) = succ(succ(succ(_226648))))], (748 ^ _196443) ^ [_226735] : [-(plus(_226735, n4) = succ(succ(succ(succ(_226735)))))], (750 ^ _196443) ^ [_226824] : [-(plus(n4, _226824) = succ(succ(succ(succ(_226824)))))], (752 ^ _196443) ^ [_226913] : [-(plus(_226913, n5) = succ(succ(succ(succ(succ(_226913))))))], (754 ^ _196443) ^ [_227004] : [-(plus(n5, _227004) = succ(succ(succ(succ(succ(_227004))))))], (756 ^ _196443) ^ [_227095] : [-(minus(_227095, n1) = pred(_227095))], (758 ^ _196443) ^ [_227178] : [-(pred(succ(_227178)) = _227178)], (760 ^ _196443) ^ [_227260] : [-(succ(pred(_227260)) = _227260)], (762 ^ _196443) ^ [_227400, _227402] : [leq(succ(_227402), succ(_227400)), -(leq(_227402, _227400))], (768 ^ _196443) ^ [_227570, _227572] : [leq(_227572, _227570), -(leq(succ(_227572), succ(_227570)))], (774 ^ _196443) ^ [_227790, _227792] : [leq(succ(_227792), _227790), -(gt(_227790, _227792))], (780 ^ _196443) ^ [_228004, _228006] : [leq(minus(_228006, _228004), _228006), -(leq(n0, _228004))], (786 ^ _196443) ^ [_228233, _228235, _228237, _228239] : [-(a_select3(tptp_update3(_228239, _228237, _228235, _228233), _228237, _228235) = _228233)], (788 ^ _196443) ^ [_228425, _228427, _228429, _228431, _228433, _228435, _228437] : [-(a_select3(tptp_update3(_228429, _228437, _228435, _228425), _228433, _228431) = _228427), -(_228437 = _228433), _228435 = _228431, a_select3(_228429, _228433, _228431) = _228427], (802 ^ _196443) ^ [_228968, _228970, _228972, _228974, _228976, _228978] : [-(a_select3(tptp_update3(_228970, _228974, _228972, _228968), _228978, _228976) = _228968), 807 ^ _196443 : [(808 ^ _196443) ^ [] : [-(leq(n0, 805 ^ [_228968, _228970, _228972, _228974, _228976, _228978]))], (810 ^ _196443) ^ [] : [-(leq(n0, 806 ^ [_228968, _228970, _228972, _228974, _228976, _228978]))], (812 ^ _196443) ^ [] : [-(leq(805 ^ [_228968, _228970, _228972, _228974, _228976, _228978], _228974))], (814 ^ _196443) ^ [] : [-(leq(806 ^ [_228968, _228970, _228972, _228974, _228976, _228978], _228972))], (816 ^ _196443) ^ [] : [a_select3(_228970, 805 ^ [_228968, _228970, _228972, _228974, _228976, _228978], 806 ^ [_228968, _228970, _228972, _228974, _228976, _228978]) = _228968]], leq(n0, _228978), leq(_228978, _228974), leq(n0, _228976), leq(_228976, _228972)], (834 ^ _196443) ^ [_230310, _230312, _230314] : [-(a_select2(tptp_update2(_230314, _230312, _230310), _230312) = _230310)], (836 ^ _196443) ^ [_230470, _230472, _230474, _230476, _230478] : [-(a_select2(tptp_update2(_230474, _230478, _230470), _230476) = _230472), -(_230478 = _230476), a_select2(_230474, _230476) = _230472], (865 ^ _196443) ^ [] : [-(true)], (867 ^ _196443) ^ [] : [def = use], (846 ^ _196443) ^ [_230850, _230852, _230854, _230856] : [-(a_select2(tptp_update2(_230852, _230854, _230850), _230856) = _230850), 850 ^ _196443 : [(851 ^ _196443) ^ [] : [-(leq(n0, 849 ^ [_230850, _230852, _230854, _230856]))], (853 ^ _196443) ^ [] : [-(leq(849 ^ [_230850, _230852, _230854, _230856], _230854))], (855 ^ _196443) ^ [] : [a_select2(_230852, 849 ^ [_230850, _230852, _230854, _230856]) = _230850]], leq(n0, _230856), leq(_230856, _230854)]], input).
% 0.37/1.38  ncf('1',plain,[1057 : true, 1049 : leq(n0, pv31), 1049 : leq(pv31, minus(n5, n1))],start(1045 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(true)],extension(865 ^ 3)).
% 0.37/1.38  ncf('1.2',plain,[-(leq(n0, pv31))],extension(1041 ^ 3)).
% 0.37/1.38  ncf('1.3',plain,[-(leq(pv31, minus(n5, n1)))],extension(1043 ^ 3)).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------