%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV087+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:19:57 EDT 2023

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV087+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 02:30:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.38  
% 0.34/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  ncf(matrix, plain, [(1041 ^ _196151) ^ [] : [-(geq(pv65, tptp_float_0_001))], (1043 ^ _196151) ^ [] : [1044 ^ _196151 : [(1045 ^ _196151) ^ [] : [gt(plus(n1, loopcounter), n1)], (1047 ^ _196151) ^ [] : [true]], 1048 ^ _196151 : [(1049 ^ _196151) ^ [] : [-(gt(plus(n1, loopcounter), n1))], (1051 ^ _196151) ^ [] : [true]]], (2 ^ _196151) ^ [_196295] : [-(_196295 = _196295)], (4 ^ _196151) ^ [_196402, _196404] : [_196404 = _196402, -(_196402 = _196404)], (10 ^ _196151) ^ [_196606, _196608, _196610] : [-(_196610 = _196606), _196610 = _196608, _196608 = _196606], (20 ^ _196151) ^ [_196947, _196949, _196951, _196953] : [-(lt(_196951, _196947)), lt(_196953, _196949), _196953 = _196951, _196949 = _196947], (34 ^ _196151) ^ [_197391, _197393, _197395, _197397] : [-(leq(_197395, _197391)), leq(_197397, _197393), _197397 = _197395, _197393 = _197391], (48 ^ _196151) ^ [_197835, _197837, _197839, _197841] : [-(geq(_197839, _197835)), geq(_197841, _197837), _197841 = _197839, _197837 = _197835], (62 ^ _196151) ^ [_198259, _198261, _198263, _198265] : [-(gt(_198263, _198259)), gt(_198265, _198261), _198265 = _198263, _198261 = _198259], (76 ^ _196151) ^ [_198715, _198717, _198719, _198721] : [-(uniform_int_rnd(_198721, _198717) = uniform_int_rnd(_198719, _198715)), _198721 = _198719, _198717 = _198715], (86 ^ _196151) ^ [_199074, _199076, _199078, _199080] : [-(tptp_const_array1(_199080, _199076) = tptp_const_array1(_199078, _199074)), _199080 = _199078, _199076 = _199074], (96 ^ _196151) ^ [_199461, _199463, _199465, _199467, _199469, _199471] : [-(tptp_const_array2(_199471, _199467, _199463) = tptp_const_array2(_199469, _199465, _199461)), _199471 = _199469, _199467 = _199465, _199463 = _199461], (110 ^ _196151) ^ [_199949, _199951, _199953, _199955] : [-(dim(_199955, _199951) = dim(_199953, _199949)), _199955 = _199953, _199951 = _199949], (120 ^ _196151) ^ [_200280, _200282] : [_200282 = _200280, -(inv(_200282) = inv(_200280))], (126 ^ _196151) ^ [_200526, _200528, _200530, _200532] : [-(tptp_msub(_200532, _200528) = tptp_msub(_200530, _200526)), _200532 = _200530, _200528 = _200526], (136 ^ _196151) ^ [_200885, _200887, _200889, _200891] : [-(tptp_madd(_200891, _200887) = tptp_madd(_200889, _200885)), _200891 = _200889, _200887 = _200885], (146 ^ _196151) ^ [_201244, _201246, _201248, _201250] : [-(tptp_mmul(_201250, _201246) = tptp_mmul(_201248, _201244)), _201250 = _201248, _201246 = _201244], (156 ^ _196151) ^ [_201575, _201577] : [_201577 = _201575, -(trans(_201577) = trans(_201575))], (162 ^ _196151) ^ [_201849, _201851, _201853, _201855, _201857, _201859] : [-(sum(_201859, _201855, _201851) = sum(_201857, _201853, _201849)), _201859 = _201857, _201855 = _201853, _201851 = _201849], (176 ^ _196151) ^ [_202309, _202311] : [_202311 = _202309, -(pred(_202311) = pred(_202309))], (182 ^ _196151) ^ [_202555, _202557, _202559, _202561] : [-(minus(_202561, _202557) = minus(_202559, _202555)), _202561 = _202559, _202557 = _202555], (192 ^ _196151) ^ [_202942, _202944, _202946, _202948, _202950, _202952] : [-(a_select3(_202952, _202948, _202944) = a_select3(_202950, _202946, _202942)), _202952 = _202950, _202948 = _202946, _202944 = _202942], (206 ^ _196151) ^ [_203486, _203488, _203490, _203492, _203494, _203496, _203498, _203500] : [-(tptp_update3(_203500, _203496, _203492, _203488) = tptp_update3(_203498, _203494, _203490, _203486)), _203500 = _203498, _203496 = _203494, _203492 = _203490, _203488 = _203486], (224 ^ _196151) ^ [_204119, _204121, _204123, _204125] : [-(a_select2(_204125, _204121) = a_select2(_204123, _204119)), _204125 = _204123, _204121 = _204119], (234 ^ _196151) ^ [_204506, _204508, _204510, _204512, _204514, _204516] : [-(tptp_update2(_204516, _204512, _204508) = tptp_update2(_204514, _204510, _204506)), _204516 = _204514, _204512 = _204510, _204508 = _204506], (248 ^ _196151) ^ [_204966, _204968] : [_204968 = _204966, -(succ(_204968) = succ(_204966))], (254 ^ _196151) ^ [_205192, _205194, _205196, _205198] : [-(plus(_205198, _205194) = plus(_205196, _205192)), _205198 = _205196, _205194 = _205192], (869 ^ _196151) ^ [] : [-(gt(n5, n4))], (871 ^ _196151) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _196151) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _196151) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _196151) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _196151) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _196151) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _196151) ^ [] : [-(gt(n4, n0))], (885 ^ _196151) ^ [] : [-(gt(n5, n0))], (887 ^ _196151) ^ [] : [-(gt(n1, n0))], (889 ^ _196151) ^ [] : [-(gt(n2, n0))], (891 ^ _196151) ^ [] : [-(gt(n3, n0))], (893 ^ _196151) ^ [] : [-(gt(n4, n1))], (895 ^ _196151) ^ [] : [-(gt(n5, n1))], (897 ^ _196151) ^ [] : [-(gt(n2, n1))], (899 ^ _196151) ^ [] : [-(gt(n3, n1))], (901 ^ _196151) ^ [] : [-(gt(n4, n2))], (903 ^ _196151) ^ [] : [-(gt(n5, n2))], (905 ^ _196151) ^ [] : [-(gt(n3, n2))], (907 ^ _196151) ^ [] : [-(gt(n4, n3))], (909 ^ _196151) ^ [] : [-(gt(n5, n3))], (911 ^ _196151) ^ [_232661] : [leq(n0, _232661), leq(_232661, n4), -(_232661 = n0), -(_232661 = n1), -(_232661 = n2), -(_232661 = n3), -(_232661 = n4)], (937 ^ _196151) ^ [_233282] : [leq(n0, _233282), leq(_233282, n5), -(_233282 = n0), -(_233282 = n1), -(_233282 = n2), -(_233282 = n3), -(_233282 = n4), -(_233282 = n5)], (967 ^ _196151) ^ [_233989] : [-(_233989 = n0), leq(n0, _233989), leq(_233989, n0)], (977 ^ _196151) ^ [_234264] : [leq(n0, _234264), leq(_234264, n1), -(_234264 = n0), -(_234264 = n1)], (991 ^ _196151) ^ [_234627] : [leq(n0, _234627), leq(_234627, n2), -(_234627 = n0), -(_234627 = n1), -(_234627 = n2)], (1031 ^ _196151) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _196151) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _196151) ^ [] : [-(succ(n0) = n1)], (1037 ^ _196151) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _196151) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _196151) ^ [_235076] : [leq(n0, _235076), leq(_235076, n3), -(_235076 = n0), -(_235076 = n1), -(_235076 = n2), -(_235076 = n3)], (264 ^ _196151) ^ [_205623, _205625] : [-(gt(_205625, _205623)), -(gt(_205623, _205625)), -(_205625 = _205623)], (274 ^ _196151) ^ [_205938, _205940, _205942] : [-(gt(_205942, _205938)), gt(_205942, _205940), gt(_205940, _205938)], (284 ^ _196151) ^ [_206217] : [gt(_206217, _206217)], (286 ^ _196151) ^ [_206295] : [-(leq(_206295, _206295))], (288 ^ _196151) ^ [_206416, _206418, _206420] : [-(leq(_206420, _206416)), leq(_206420, _206418), leq(_206418, _206416)], (298 ^ _196151) ^ [_206754, _206756] : [lt(_206756, _206754), -(gt(_206754, _206756))], (304 ^ _196151) ^ [_206916, _206918] : [gt(_206916, _206918), -(lt(_206918, _206916))], (310 ^ _196151) ^ [_207157, _207159] : [geq(_207159, _207157), -(leq(_207157, _207159))], (316 ^ _196151) ^ [_207319, _207321] : [leq(_207319, _207321), -(geq(_207321, _207319))], (322 ^ _196151) ^ [_207531, _207533] : [gt(_207531, _207533), -(leq(_207533, _207531))], (328 ^ _196151) ^ [_207741, _207743] : [-(gt(_207741, _207743)), leq(_207743, _207741), -(_207743 = _207741)], (338 ^ _196151) ^ [_208072, _208074] : [leq(_208074, pred(_208072)), -(gt(_208072, _208074))], (344 ^ _196151) ^ [_208238, _208240] : [gt(_208238, _208240), -(leq(_208240, pred(_208238)))], (350 ^ _196151) ^ [_208425] : [-(gt(succ(_208425), _208425))], (352 ^ _196151) ^ [_208534, _208536] : [leq(_208536, _208534), -(leq(_208536, succ(_208534)))], (358 ^ _196151) ^ [_208777, _208779] : [leq(_208779, _208777), -(gt(succ(_208777), _208779))], (364 ^ _196151) ^ [_208943, _208945] : [gt(succ(_208943), _208945), -(leq(_208945, _208943))], (370 ^ _196151) ^ [_209159, _209161] : [leq(n0, _209161), -(leq(uniform_int_rnd(_209159, _209161), _209161))], (376 ^ _196151) ^ [_209375, _209377] : [leq(n0, _209377), -(leq(n0, uniform_int_rnd(_209375, _209377)))], (382 ^ _196151) ^ [_209619, _209621, _209623, _209625] : [-(a_select2(tptp_const_array1(dim(_209623, _209621), _209619), _209625) = _209619), leq(_209623, _209625), leq(_209625, _209621)], (392 ^ _196151) ^ [_210026, _210028, _210030, _210032, _210034, _210036, _210038] : [-(a_select3(tptp_const_array2(dim(_210036, _210034), dim(_210030, _210028), _210026), _210038, _210032) = _210026), leq(_210036, _210038), leq(_210038, _210034), leq(_210030, _210032), leq(_210032, _210028)], (410 ^ _196151) ^ [_210621, _210623] : [413 ^ _196151 : [(414 ^ _196151) ^ [] : [-(leq(n0, 411 ^ [_210621, _210623]))], (416 ^ _196151) ^ [] : [-(leq(411 ^ [_210621, _210623], _210621))], (418 ^ _196151) ^ [] : [-(leq(n0, 412 ^ [_210621, _210623]))], (420 ^ _196151) ^ [] : [-(leq(412 ^ [_210621, _210623], _210621))], (422 ^ _196151) ^ [] : [a_select3(_210623, 411 ^ [_210621, _210623], 412 ^ [_210621, _210623]) = a_select3(_210623, 412 ^ [_210621, _210623], 411 ^ [_210621, _210623])]], 423 ^ _196151 : [(424 ^ _196151) ^ [_211378, _211380] : [-(a_select3(trans(_210623), _211380, _211378) = a_select3(trans(_210623), _211378, _211380)), leq(n0, _211380), leq(_211380, _210621), leq(n0, _211378), leq(_211378, _210621)]]], (442 ^ _196151) ^ [_211925, _211927] : [445 ^ _196151 : [(446 ^ _196151) ^ [] : [-(leq(n0, 443 ^ [_211925, _211927]))], (448 ^ _196151) ^ [] : [-(leq(443 ^ [_211925, _211927], _211925))], (450 ^ _196151) ^ [] : [-(leq(n0, 444 ^ [_211925, _211927]))], (452 ^ _196151) ^ [] : [-(leq(444 ^ [_211925, _211927], _211925))], (454 ^ _196151) ^ [] : [a_select3(_211927, 443 ^ [_211925, _211927], 444 ^ [_211925, _211927]) = a_select3(_211927, 444 ^ [_211925, _211927], 443 ^ [_211925, _211927])]], 455 ^ _196151 : [(456 ^ _196151) ^ [_212682, _212684] : [-(a_select3(inv(_211927), _212684, _212682) = a_select3(inv(_211927), _212682, _212684)), leq(n0, _212684), leq(_212684, _211925), leq(n0, _212682), leq(_212682, _211925)]]], (474 ^ _196151) ^ [_213229, _213231] : [477 ^ _196151 : [(478 ^ _196151) ^ [] : [-(leq(n0, 475 ^ [_213229, _213231]))], (480 ^ _196151) ^ [] : [-(leq(475 ^ [_213229, _213231], _213229))], (482 ^ _196151) ^ [] : [-(leq(n0, 476 ^ [_213229, _213231]))], (484 ^ _196151) ^ [] : [-(leq(476 ^ [_213229, _213231], _213229))], (486 ^ _196151) ^ [] : [a_select3(_213231, 475 ^ [_213229, _213231], 476 ^ [_213229, _213231]) = a_select3(_213231, 476 ^ [_213229, _213231], 475 ^ [_213229, _213231])]], 487 ^ _196151 : [(488 ^ _196151) ^ [_214042, _214044, _214046, _214048] : [-(a_select3(tptp_update3(_213231, _214044, _214044, _214042), _214048, _214046) = a_select3(tptp_update3(_213231, _214044, _214044, _214042), _214046, _214048)), leq(n0, _214048), leq(_214048, _213229), leq(n0, _214046), leq(_214046, _213229), leq(n0, _214044), leq(_214044, _213229)]]], (514 ^ _196151) ^ [_214861, _214863, _214865] : [519 ^ _196151 : [(520 ^ _196151) ^ [] : [-(leq(n0, 517 ^ [_214861, _214863, _214865]))], (522 ^ _196151) ^ [] : [-(leq(517 ^ [_214861, _214863, _214865], _214861))], (524 ^ _196151) ^ [] : [-(leq(n0, 518 ^ [_214861, _214863, _214865]))], (526 ^ _196151) ^ [] : [-(leq(518 ^ [_214861, _214863, _214865], _214861))], (528 ^ _196151) ^ [] : [a_select3(_214865, 517 ^ [_214861, _214863, _214865], 518 ^ [_214861, _214863, _214865]) = a_select3(_214865, 518 ^ [_214861, _214863, _214865], 517 ^ [_214861, _214863, _214865])]], 531 ^ _196151 : [(532 ^ _196151) ^ [] : [-(leq(n0, 529 ^ [_214861, _214863, _214865]))], (534 ^ _196151) ^ [] : [-(leq(529 ^ [_214861, _214863, _214865], _214861))], (536 ^ _196151) ^ [] : [-(leq(n0, 530 ^ [_214861, _214863, _214865]))], (538 ^ _196151) ^ [] : [-(leq(530 ^ [_214861, _214863, _214865], _214861))], (540 ^ _196151) ^ [] : [a_select3(_214863, 529 ^ [_214861, _214863, _214865], 530 ^ [_214861, _214863, _214865]) = a_select3(_214863, 530 ^ [_214861, _214863, _214865], 529 ^ [_214861, _214863, _214865])]], 541 ^ _196151 : [(542 ^ _196151) ^ [_216370, _216372] : [-(a_select3(tptp_madd(_214865, _214863), _216372, _216370) = a_select3(tptp_madd(_214865, _214863), _216370, _216372)), leq(n0, _216372), leq(_216372, _214861), leq(n0, _216370), leq(_216370, _214861)]]], (560 ^ _196151) ^ [_216956, _216958, _216960] : [565 ^ _196151 : [(566 ^ _196151) ^ [] : [-(leq(n0, 563 ^ [_216956, _216958, _216960]))], (568 ^ _196151) ^ [] : [-(leq(563 ^ [_216956, _216958, _216960], _216956))], (570 ^ _196151) ^ [] : [-(leq(n0, 564 ^ [_216956, _216958, _216960]))], (572 ^ _196151) ^ [] : [-(leq(564 ^ [_216956, _216958, _216960], _216956))], (574 ^ _196151) ^ [] : [a_select3(_216960, 563 ^ [_216956, _216958, _216960], 564 ^ [_216956, _216958, _216960]) = a_select3(_216960, 564 ^ [_216956, _216958, _216960], 563 ^ [_216956, _216958, _216960])]], 577 ^ _196151 : [(578 ^ _196151) ^ [] : [-(leq(n0, 575 ^ [_216956, _216958, _216960]))], (580 ^ _196151) ^ [] : [-(leq(575 ^ [_216956, _216958, _216960], _216956))], (582 ^ _196151) ^ [] : [-(leq(n0, 576 ^ [_216956, _216958, _216960]))], (584 ^ _196151) ^ [] : [-(leq(576 ^ [_216956, _216958, _216960], _216956))], (586 ^ _196151) ^ [] : [a_select3(_216958, 575 ^ [_216956, _216958, _216960], 576 ^ [_216956, _216958, _216960]) = a_select3(_216958, 576 ^ [_216956, _216958, _216960], 575 ^ [_216956, _216958, _216960])]], 587 ^ _196151 : [(588 ^ _196151) ^ [_218465, _218467] : [-(a_select3(tptp_msub(_216960, _216958), _218467, _218465) = a_select3(tptp_msub(_216960, _216958), _218465, _218467)), leq(n0, _218467), leq(_218467, _216956), leq(n0, _218465), leq(_218465, _216956)]]], (606 ^ _196151) ^ [_219051, _219053, _219055] : [609 ^ _196151 : [(610 ^ _196151) ^ [] : [-(leq(n0, 607 ^ [_219051, _219053, _219055]))], (612 ^ _196151) ^ [] : [-(leq(607 ^ [_219051, _219053, _219055], _219051))], (614 ^ _196151) ^ [] : [-(leq(n0, 608 ^ [_219051, _219053, _219055]))], (616 ^ _196151) ^ [] : [-(leq(608 ^ [_219051, _219053, _219055], _219051))], (618 ^ _196151) ^ [] : [a_select3(_219053, 607 ^ [_219051, _219053, _219055], 608 ^ [_219051, _219053, _219055]) = a_select3(_219053, 608 ^ [_219051, _219053, _219055], 607 ^ [_219051, _219053, _219055])]], 619 ^ _196151 : [(620 ^ _196151) ^ [_219864, _219866] : [-(a_select3(tptp_mmul(_219055, tptp_mmul(_219053, trans(_219055))), _219866, _219864) = a_select3(tptp_mmul(_219055, tptp_mmul(_219053, trans(_219055))), _219864, _219866)), leq(n0, _219866), leq(_219866, _219051), leq(n0, _219864), leq(_219864, _219051)]]], (638 ^ _196151) ^ [_220483, _220485, _220487, _220489] : [641 ^ _196151 : [(642 ^ _196151) ^ [] : [-(leq(n0, 639 ^ [_220483, _220485, _220487, _220489]))], (644 ^ _196151) ^ [] : [-(leq(639 ^ [_220483, _220485, _220487, _220489], _220483))], (646 ^ _196151) ^ [] : [-(leq(n0, 640 ^ [_220483, _220485, _220487, _220489]))], (648 ^ _196151) ^ [] : [-(leq(640 ^ [_220483, _220485, _220487, _220489], _220483))], (650 ^ _196151) ^ [] : [a_select3(_220487, 639 ^ [_220483, _220485, _220487, _220489], 640 ^ [_220483, _220485, _220487, _220489]) = a_select3(_220487, 640 ^ [_220483, _220485, _220487, _220489], 639 ^ [_220483, _220485, _220487, _220489])]], 651 ^ _196151 : [(652 ^ _196151) ^ [_221340, _221342] : [-(a_select3(tptp_mmul(_220489, tptp_mmul(_220487, trans(_220489))), _221342, _221340) = a_select3(tptp_mmul(_220489, tptp_mmul(_220487, trans(_220489))), _221340, _221342)), leq(n0, _221342), leq(_221342, _220485), leq(n0, _221340), leq(_221340, _220485)]]], (670 ^ _196151) ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049] : [675 ^ _196151 : [(676 ^ _196151) ^ [] : [-(leq(n0, 673 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (678 ^ _196151) ^ [] : [-(leq(673 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222035))], (680 ^ _196151) ^ [] : [-(leq(n0, 674 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (682 ^ _196151) ^ [] : [-(leq(674 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222035))], (684 ^ _196151) ^ [] : [a_select3(_222043, 673 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 674 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]) = a_select3(_222043, 674 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 673 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049])]], 689 ^ _196151 : [(690 ^ _196151) ^ [] : [-(leq(n0, 687 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (692 ^ _196151) ^ [] : [-(leq(687 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222037))], (694 ^ _196151) ^ [] : [-(leq(n0, 688 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (696 ^ _196151) ^ [] : [-(leq(688 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222037))], (698 ^ _196151) ^ [] : [a_select3(_222049, 687 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 688 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]) = a_select3(_222049, 688 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 687 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049])]], 701 ^ _196151 : [(702 ^ _196151) ^ [] : [-(leq(n0, 699 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (704 ^ _196151) ^ [] : [-(leq(699 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222037))], (706 ^ _196151) ^ [] : [-(leq(n0, 700 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]))], (708 ^ _196151) ^ [] : [-(leq(700 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], _222037))], (710 ^ _196151) ^ [] : [a_select3(_222039, 699 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 700 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049]) = a_select3(_222039, 700 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049], 699 ^ [_222035, _222037, _222039, _222041, _222043, _222045, _222047, _222049])]], 711 ^ _196151 : [(712 ^ _196151) ^ [_224963, _224965] : [-(a_select3(tptp_madd(_222049, tptp_mmul(_222047, tptp_mmul(tptp_madd(tptp_mmul(_222045, tptp_mmul(_222043, trans(_222045))), tptp_mmul(_222041, tptp_mmul(_222039, trans(_222041)))), trans(_222047)))), _224965, _224963) = a_select3(tptp_madd(_222049, tptp_mmul(_222047, tptp_mmul(tptp_madd(tptp_mmul(_222045, tptp_mmul(_222043, trans(_222045))), tptp_mmul(_222041, tptp_mmul(_222039, trans(_222041)))), trans(_222047)))), _224963, _224965)), leq(n0, _224965), leq(_224965, _222037), leq(n0, _224963), leq(_224963, _222037)]]], (730 ^ _196151) ^ [_225716] : [-(sum(n0, tptp_minus_1, _225716) = n0)], (732 ^ _196151) ^ [_225798] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _225798))], (734 ^ _196151) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _196151) ^ [_225933] : [-(plus(_225933, n1) = succ(_225933))], (738 ^ _196151) ^ [_226016] : [-(plus(n1, _226016) = succ(_226016))], (740 ^ _196151) ^ [_226099] : [-(plus(_226099, n2) = succ(succ(_226099)))], (742 ^ _196151) ^ [_226184] : [-(plus(n2, _226184) = succ(succ(_226184)))], (744 ^ _196151) ^ [_226269] : [-(plus(_226269, n3) = succ(succ(succ(_226269))))], (746 ^ _196151) ^ [_226356] : [-(plus(n3, _226356) = succ(succ(succ(_226356))))], (748 ^ _196151) ^ [_226443] : [-(plus(_226443, n4) = succ(succ(succ(succ(_226443)))))], (750 ^ _196151) ^ [_226532] : [-(plus(n4, _226532) = succ(succ(succ(succ(_226532)))))], (752 ^ _196151) ^ [_226621] : [-(plus(_226621, n5) = succ(succ(succ(succ(succ(_226621))))))], (754 ^ _196151) ^ [_226712] : [-(plus(n5, _226712) = succ(succ(succ(succ(succ(_226712))))))], (756 ^ _196151) ^ [_226803] : [-(minus(_226803, n1) = pred(_226803))], (758 ^ _196151) ^ [_226886] : [-(pred(succ(_226886)) = _226886)], (760 ^ _196151) ^ [_226968] : [-(succ(pred(_226968)) = _226968)], (762 ^ _196151) ^ [_227108, _227110] : [leq(succ(_227110), succ(_227108)), -(leq(_227110, _227108))], (768 ^ _196151) ^ [_227278, _227280] : [leq(_227280, _227278), -(leq(succ(_227280), succ(_227278)))], (774 ^ _196151) ^ [_227498, _227500] : [leq(succ(_227500), _227498), -(gt(_227498, _227500))], (780 ^ _196151) ^ [_227712, _227714] : [leq(minus(_227714, _227712), _227714), -(leq(n0, _227712))], (786 ^ _196151) ^ [_227941, _227943, _227945, _227947] : [-(a_select3(tptp_update3(_227947, _227945, _227943, _227941), _227945, _227943) = _227941)], (788 ^ _196151) ^ [_228133, _228135, _228137, _228139, _228141, _228143, _228145] : [-(a_select3(tptp_update3(_228137, _228145, _228143, _228133), _228141, _228139) = _228135), -(_228145 = _228141), _228143 = _228139, a_select3(_228137, _228141, _228139) = _228135], (802 ^ _196151) ^ [_228676, _228678, _228680, _228682, _228684, _228686] : [-(a_select3(tptp_update3(_228678, _228682, _228680, _228676), _228686, _228684) = _228676), 807 ^ _196151 : [(808 ^ _196151) ^ [] : [-(leq(n0, 805 ^ [_228676, _228678, _228680, _228682, _228684, _228686]))], (810 ^ _196151) ^ [] : [-(leq(n0, 806 ^ [_228676, _228678, _228680, _228682, _228684, _228686]))], (812 ^ _196151) ^ [] : [-(leq(805 ^ [_228676, _228678, _228680, _228682, _228684, _228686], _228682))], (814 ^ _196151) ^ [] : [-(leq(806 ^ [_228676, _228678, _228680, _228682, _228684, _228686], _228680))], (816 ^ _196151) ^ [] : [a_select3(_228678, 805 ^ [_228676, _228678, _228680, _228682, _228684, _228686], 806 ^ [_228676, _228678, _228680, _228682, _228684, _228686]) = _228676]], leq(n0, _228686), leq(_228686, _228682), leq(n0, _228684), leq(_228684, _228680)], (834 ^ _196151) ^ [_230018, _230020, _230022] : [-(a_select2(tptp_update2(_230022, _230020, _230018), _230020) = _230018)], (836 ^ _196151) ^ [_230178, _230180, _230182, _230184, _230186] : [-(a_select2(tptp_update2(_230182, _230186, _230178), _230184) = _230180), -(_230186 = _230184), a_select2(_230182, _230184) = _230180], (865 ^ _196151) ^ [] : [-(true)], (867 ^ _196151) ^ [] : [def = use], (846 ^ _196151) ^ [_230558, _230560, _230562, _230564] : [-(a_select2(tptp_update2(_230560, _230562, _230558), _230564) = _230558), 850 ^ _196151 : [(851 ^ _196151) ^ [] : [-(leq(n0, 849 ^ [_230558, _230560, _230562, _230564]))], (853 ^ _196151) ^ [] : [-(leq(849 ^ [_230558, _230560, _230562, _230564], _230562))], (855 ^ _196151) ^ [] : [a_select2(_230560, 849 ^ [_230558, _230560, _230562, _230564]) = _230558]], leq(n0, _230564), leq(_230564, _230562)]], input).
% 0.34/1.38  ncf('1',plain,[1047 : true, 1051 : true],start(1043 ^ 0)).
% 0.34/1.38  ncf('1.1',plain,[-(true)],extension(865 ^ 3)).
% 0.34/1.38  ncf('1.2',plain,[-(true)],extension(865 ^ 3)).
% 0.34/1.38  %-----------------------------------------------------
% 0.34/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------