%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV123+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 12:20:00 EDT 2023
% Result : Theorem 0.34s 1.39s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV123+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 19 02:24:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.34/1.39
% 0.34/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 ncf(matrix, plain, [(1107 ^ _205345) ^ [] : [-(geq(minus(n3, n1), n0))], (1109 ^ _205345) ^ [] : [-(geq(minus(n6, n1), n0))], (1111 ^ _205345) ^ [] : [-(geq(n2, n0))], (1113 ^ _205345) ^ [] : [-(geq(minus(n999, n1), n0))], (1115 ^ _205345) ^ [] : [-(geq(minus(n6, n1), n0))], (1117 ^ _205345) ^ [] : [-(geq(minus(n6, n1), n0))], (1119 ^ _205345) ^ [] : [-(geq(minus(n6, n1), n0))], (1121 ^ _205345) ^ [] : [-(geq(minus(n3, n1), n0))], (1123 ^ _205345) ^ [] : [-(geq(minus(n999, n1), n0))], (1125 ^ _205345) ^ [] : [true], (2 ^ _205345) ^ [_205489] : [-(_205489 = _205489)], (4 ^ _205345) ^ [_205596, _205598] : [_205598 = _205596, -(_205596 = _205598)], (10 ^ _205345) ^ [_205800, _205802, _205804] : [-(_205804 = _205800), _205804 = _205802, _205802 = _205800], (20 ^ _205345) ^ [_206141, _206143, _206145, _206147] : [-(lt(_206145, _206141)), lt(_206147, _206143), _206147 = _206145, _206143 = _206141], (34 ^ _205345) ^ [_206585, _206587, _206589, _206591] : [-(gt(_206589, _206585)), gt(_206591, _206587), _206591 = _206589, _206587 = _206585], (48 ^ _205345) ^ [_207029, _207031, _207033, _207035] : [-(leq(_207033, _207029)), leq(_207035, _207031), _207035 = _207033, _207031 = _207029], (62 ^ _205345) ^ [_207453, _207455, _207457, _207459] : [-(geq(_207457, _207453)), geq(_207459, _207455), _207459 = _207457, _207455 = _207453], (76 ^ _205345) ^ [_207909, _207911, _207913, _207915] : [-(uniform_int_rnd(_207915, _207911) = uniform_int_rnd(_207913, _207909)), _207915 = _207913, _207911 = _207909], (86 ^ _205345) ^ [_208268, _208270, _208272, _208274] : [-(tptp_const_array1(_208274, _208270) = tptp_const_array1(_208272, _208268)), _208274 = _208272, _208270 = _208268], (96 ^ _205345) ^ [_208655, _208657, _208659, _208661, _208663, _208665] : [-(tptp_const_array2(_208665, _208661, _208657) = tptp_const_array2(_208663, _208659, _208655)), _208665 = _208663, _208661 = _208659, _208657 = _208655], (110 ^ _205345) ^ [_209143, _209145, _209147, _209149] : [-(dim(_209149, _209145) = dim(_209147, _209143)), _209149 = _209147, _209145 = _209143], (120 ^ _205345) ^ [_209474, _209476] : [_209476 = _209474, -(inv(_209476) = inv(_209474))], (126 ^ _205345) ^ [_209720, _209722, _209724, _209726] : [-(tptp_msub(_209726, _209722) = tptp_msub(_209724, _209720)), _209726 = _209724, _209722 = _209720], (136 ^ _205345) ^ [_210079, _210081, _210083, _210085] : [-(tptp_madd(_210085, _210081) = tptp_madd(_210083, _210079)), _210085 = _210083, _210081 = _210079], (146 ^ _205345) ^ [_210438, _210440, _210442, _210444] : [-(tptp_mmul(_210444, _210440) = tptp_mmul(_210442, _210438)), _210444 = _210442, _210440 = _210438], (156 ^ _205345) ^ [_210769, _210771] : [_210771 = _210769, -(trans(_210771) = trans(_210769))], (162 ^ _205345) ^ [_211043, _211045, _211047, _211049, _211051, _211053] : [-(sum(_211053, _211049, _211045) = sum(_211051, _211047, _211043)), _211053 = _211051, _211049 = _211047, _211045 = _211043], (176 ^ _205345) ^ [_211531, _211533, _211535, _211537] : [-(plus(_211537, _211533) = plus(_211535, _211531)), _211537 = _211535, _211533 = _211531], (186 ^ _205345) ^ [_211862, _211864] : [_211864 = _211862, -(pred(_211864) = pred(_211862))], (192 ^ _205345) ^ [_212136, _212138, _212140, _212142, _212144, _212146] : [-(a_select3(_212146, _212142, _212138) = a_select3(_212144, _212140, _212136)), _212146 = _212144, _212142 = _212140, _212138 = _212136], (206 ^ _205345) ^ [_212680, _212682, _212684, _212686, _212688, _212690, _212692, _212694] : [-(tptp_update3(_212694, _212690, _212686, _212682) = tptp_update3(_212692, _212688, _212684, _212680)), _212694 = _212692, _212690 = _212688, _212686 = _212684, _212682 = _212680], (224 ^ _205345) ^ [_213313, _213315, _213317, _213319] : [-(a_select2(_213319, _213315) = a_select2(_213317, _213313)), _213319 = _213317, _213315 = _213313], (234 ^ _205345) ^ [_213700, _213702, _213704, _213706, _213708, _213710] : [-(tptp_update2(_213710, _213706, _213702) = tptp_update2(_213708, _213704, _213700)), _213710 = _213708, _213706 = _213704, _213702 = _213700], (248 ^ _205345) ^ [_214160, _214162] : [_214162 = _214160, -(succ(_214162) = succ(_214160))], (254 ^ _205345) ^ [_214386, _214388, _214390, _214392] : [-(minus(_214392, _214388) = minus(_214390, _214386)), _214392 = _214390, _214388 = _214386], (869 ^ _205345) ^ [] : [-(gt(n5, n4))], (871 ^ _205345) ^ [] : [-(gt(n6, n4))], (873 ^ _205345) ^ [] : [-(gt(n999, n4))], (875 ^ _205345) ^ [] : [-(gt(n6, n5))], (877 ^ _205345) ^ [] : [-(gt(n999, n5))], (879 ^ _205345) ^ [] : [-(gt(n999, n6))], (881 ^ _205345) ^ [] : [-(gt(n4, tptp_minus_1))], (883 ^ _205345) ^ [] : [-(gt(n5, tptp_minus_1))], (885 ^ _205345) ^ [] : [-(gt(n6, tptp_minus_1))], (887 ^ _205345) ^ [] : [-(gt(n999, tptp_minus_1))], (889 ^ _205345) ^ [] : [-(gt(n0, tptp_minus_1))], (891 ^ _205345) ^ [] : [-(gt(n1, tptp_minus_1))], (893 ^ _205345) ^ [] : [-(gt(n2, tptp_minus_1))], (895 ^ _205345) ^ [] : [-(gt(n3, tptp_minus_1))], (897 ^ _205345) ^ [] : [-(gt(n4, n0))], (899 ^ _205345) ^ [] : [-(gt(n5, n0))], (901 ^ _205345) ^ [] : [-(gt(n6, n0))], (903 ^ _205345) ^ [] : [-(gt(n999, n0))], (905 ^ _205345) ^ [] : [-(gt(n1, n0))], (907 ^ _205345) ^ [] : [-(gt(n2, n0))], (909 ^ _205345) ^ [] : [-(gt(n3, n0))], (911 ^ _205345) ^ [] : [-(gt(n4, n1))], (913 ^ _205345) ^ [] : [-(gt(n5, n1))], (915 ^ _205345) ^ [] : [-(gt(n6, n1))], (917 ^ _205345) ^ [] : [-(gt(n999, n1))], (919 ^ _205345) ^ [] : [-(gt(n2, n1))], (921 ^ _205345) ^ [] : [-(gt(n3, n1))], (923 ^ _205345) ^ [] : [-(gt(n4, n2))], (925 ^ _205345) ^ [] : [-(gt(n5, n2))], (927 ^ _205345) ^ [] : [-(gt(n6, n2))], (929 ^ _205345) ^ [] : [-(gt(n999, n2))], (931 ^ _205345) ^ [] : [-(gt(n3, n2))], (933 ^ _205345) ^ [] : [-(gt(n4, n3))], (935 ^ _205345) ^ [] : [-(gt(n5, n3))], (937 ^ _205345) ^ [] : [-(gt(n6, n3))], (939 ^ _205345) ^ [] : [-(gt(n999, n3))], (941 ^ _205345) ^ [_242650] : [leq(n0, _242650), leq(_242650, n4), -(_242650 = n0), -(_242650 = n1), -(_242650 = n2), -(_242650 = n3), -(_242650 = n4)], (967 ^ _205345) ^ [_243271] : [leq(n0, _243271), leq(_243271, n5), -(_243271 = n0), -(_243271 = n1), -(_243271 = n2), -(_243271 = n3), -(_243271 = n4), -(_243271 = n5)], (997 ^ _205345) ^ [_243978] : [leq(n0, _243978), leq(_243978, n6), -(_243978 = n0), -(_243978 = n1), -(_243978 = n2), -(_243978 = n3), -(_243978 = n4), -(_243978 = n5), -(_243978 = n6)], (1031 ^ _205345) ^ [_244771] : [-(_244771 = n0), leq(n0, _244771), leq(_244771, n0)], (1041 ^ _205345) ^ [_245046] : [leq(n0, _245046), leq(_245046, n1), -(_245046 = n0), -(_245046 = n1)], (1055 ^ _205345) ^ [_245409] : [leq(n0, _245409), leq(_245409, n2), -(_245409 = n0), -(_245409 = n1), -(_245409 = n2)], (1095 ^ _205345) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1097 ^ _205345) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1099 ^ _205345) ^ [] : [-(succ(succ(succ(succ(succ(succ(n0)))))) = n6)], (1101 ^ _205345) ^ [] : [-(succ(n0) = n1)], (1103 ^ _205345) ^ [] : [-(succ(succ(n0)) = n2)], (1105 ^ _205345) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1073 ^ _205345) ^ [_245858] : [leq(n0, _245858), leq(_245858, n3), -(_245858 = n0), -(_245858 = n1), -(_245858 = n2), -(_245858 = n3)], (264 ^ _205345) ^ [_214817, _214819] : [-(gt(_214819, _214817)), -(gt(_214817, _214819)), -(_214819 = _214817)], (274 ^ _205345) ^ [_215132, _215134, _215136] : [-(gt(_215136, _215132)), gt(_215136, _215134), gt(_215134, _215132)], (284 ^ _205345) ^ [_215411] : [gt(_215411, _215411)], (286 ^ _205345) ^ [_215489] : [-(leq(_215489, _215489))], (288 ^ _205345) ^ [_215610, _215612, _215614] : [-(leq(_215614, _215610)), leq(_215614, _215612), leq(_215612, _215610)], (298 ^ _205345) ^ [_215948, _215950] : [lt(_215950, _215948), -(gt(_215948, _215950))], (304 ^ _205345) ^ [_216110, _216112] : [gt(_216110, _216112), -(lt(_216112, _216110))], (310 ^ _205345) ^ [_216351, _216353] : [geq(_216353, _216351), -(leq(_216351, _216353))], (316 ^ _205345) ^ [_216513, _216515] : [leq(_216513, _216515), -(geq(_216515, _216513))], (322 ^ _205345) ^ [_216725, _216727] : [gt(_216725, _216727), -(leq(_216727, _216725))], (328 ^ _205345) ^ [_216935, _216937] : [-(gt(_216935, _216937)), leq(_216937, _216935), -(_216937 = _216935)], (338 ^ _205345) ^ [_217266, _217268] : [leq(_217268, pred(_217266)), -(gt(_217266, _217268))], (344 ^ _205345) ^ [_217432, _217434] : [gt(_217432, _217434), -(leq(_217434, pred(_217432)))], (350 ^ _205345) ^ [_217619] : [-(gt(succ(_217619), _217619))], (352 ^ _205345) ^ [_217728, _217730] : [leq(_217730, _217728), -(leq(_217730, succ(_217728)))], (358 ^ _205345) ^ [_217971, _217973] : [leq(_217973, _217971), -(gt(succ(_217971), _217973))], (364 ^ _205345) ^ [_218137, _218139] : [gt(succ(_218137), _218139), -(leq(_218139, _218137))], (370 ^ _205345) ^ [_218353, _218355] : [leq(n0, _218355), -(leq(uniform_int_rnd(_218353, _218355), _218355))], (376 ^ _205345) ^ [_218569, _218571] : [leq(n0, _218571), -(leq(n0, uniform_int_rnd(_218569, _218571)))], (382 ^ _205345) ^ [_218813, _218815, _218817, _218819] : [-(a_select2(tptp_const_array1(dim(_218817, _218815), _218813), _218819) = _218813), leq(_218817, _218819), leq(_218819, _218815)], (392 ^ _205345) ^ [_219220, _219222, _219224, _219226, _219228, _219230, _219232] : [-(a_select3(tptp_const_array2(dim(_219230, _219228), dim(_219224, _219222), _219220), _219232, _219226) = _219220), leq(_219230, _219232), leq(_219232, _219228), leq(_219224, _219226), leq(_219226, _219222)], (410 ^ _205345) ^ [_219815, _219817] : [413 ^ _205345 : [(414 ^ _205345) ^ [] : [-(leq(n0, 411 ^ [_219815, _219817]))], (416 ^ _205345) ^ [] : [-(leq(411 ^ [_219815, _219817], _219815))], (418 ^ _205345) ^ [] : [-(leq(n0, 412 ^ [_219815, _219817]))], (420 ^ _205345) ^ [] : [-(leq(412 ^ [_219815, _219817], _219815))], (422 ^ _205345) ^ [] : [a_select3(_219817, 411 ^ [_219815, _219817], 412 ^ [_219815, _219817]) = a_select3(_219817, 412 ^ [_219815, _219817], 411 ^ [_219815, _219817])]], 423 ^ _205345 : [(424 ^ _205345) ^ [_220572, _220574] : [-(a_select3(trans(_219817), _220574, _220572) = a_select3(trans(_219817), _220572, _220574)), leq(n0, _220574), leq(_220574, _219815), leq(n0, _220572), leq(_220572, _219815)]]], (442 ^ _205345) ^ [_221119, _221121] : [445 ^ _205345 : [(446 ^ _205345) ^ [] : [-(leq(n0, 443 ^ [_221119, _221121]))], (448 ^ _205345) ^ [] : [-(leq(443 ^ [_221119, _221121], _221119))], (450 ^ _205345) ^ [] : [-(leq(n0, 444 ^ [_221119, _221121]))], (452 ^ _205345) ^ [] : [-(leq(444 ^ [_221119, _221121], _221119))], (454 ^ _205345) ^ [] : [a_select3(_221121, 443 ^ [_221119, _221121], 444 ^ [_221119, _221121]) = a_select3(_221121, 444 ^ [_221119, _221121], 443 ^ [_221119, _221121])]], 455 ^ _205345 : [(456 ^ _205345) ^ [_221876, _221878] : [-(a_select3(inv(_221121), _221878, _221876) = a_select3(inv(_221121), _221876, _221878)), leq(n0, _221878), leq(_221878, _221119), leq(n0, _221876), leq(_221876, _221119)]]], (474 ^ _205345) ^ [_222423, _222425] : [477 ^ _205345 : [(478 ^ _205345) ^ [] : [-(leq(n0, 475 ^ [_222423, _222425]))], (480 ^ _205345) ^ [] : [-(leq(475 ^ [_222423, _222425], _222423))], (482 ^ _205345) ^ [] : [-(leq(n0, 476 ^ [_222423, _222425]))], (484 ^ _205345) ^ [] : [-(leq(476 ^ [_222423, _222425], _222423))], (486 ^ _205345) ^ [] : [a_select3(_222425, 475 ^ [_222423, _222425], 476 ^ [_222423, _222425]) = a_select3(_222425, 476 ^ [_222423, _222425], 475 ^ [_222423, _222425])]], 487 ^ _205345 : [(488 ^ _205345) ^ [_223236, _223238, _223240, _223242] : [-(a_select3(tptp_update3(_222425, _223238, _223238, _223236), _223242, _223240) = a_select3(tptp_update3(_222425, _223238, _223238, _223236), _223240, _223242)), leq(n0, _223242), leq(_223242, _222423), leq(n0, _223240), leq(_223240, _222423), leq(n0, _223238), leq(_223238, _222423)]]], (514 ^ _205345) ^ [_224055, _224057, _224059] : [519 ^ _205345 : [(520 ^ _205345) ^ [] : [-(leq(n0, 517 ^ [_224055, _224057, _224059]))], (522 ^ _205345) ^ [] : [-(leq(517 ^ [_224055, _224057, _224059], _224055))], (524 ^ _205345) ^ [] : [-(leq(n0, 518 ^ [_224055, _224057, _224059]))], (526 ^ _205345) ^ [] : [-(leq(518 ^ [_224055, _224057, _224059], _224055))], (528 ^ _205345) ^ [] : [a_select3(_224059, 517 ^ [_224055, _224057, _224059], 518 ^ [_224055, _224057, _224059]) = a_select3(_224059, 518 ^ [_224055, _224057, _224059], 517 ^ [_224055, _224057, _224059])]], 531 ^ _205345 : [(532 ^ _205345) ^ [] : [-(leq(n0, 529 ^ [_224055, _224057, _224059]))], (534 ^ _205345) ^ [] : [-(leq(529 ^ [_224055, _224057, _224059], _224055))], (536 ^ _205345) ^ [] : [-(leq(n0, 530 ^ [_224055, _224057, _224059]))], (538 ^ _205345) ^ [] : [-(leq(530 ^ [_224055, _224057, _224059], _224055))], (540 ^ _205345) ^ [] : [a_select3(_224057, 529 ^ [_224055, _224057, _224059], 530 ^ [_224055, _224057, _224059]) = a_select3(_224057, 530 ^ [_224055, _224057, _224059], 529 ^ [_224055, _224057, _224059])]], 541 ^ _205345 : [(542 ^ _205345) ^ [_225564, _225566] : [-(a_select3(tptp_madd(_224059, _224057), _225566, _225564) = a_select3(tptp_madd(_224059, _224057), _225564, _225566)), leq(n0, _225566), leq(_225566, _224055), leq(n0, _225564), leq(_225564, _224055)]]], (560 ^ _205345) ^ [_226150, _226152, _226154] : [565 ^ _205345 : [(566 ^ _205345) ^ [] : [-(leq(n0, 563 ^ [_226150, _226152, _226154]))], (568 ^ _205345) ^ [] : [-(leq(563 ^ [_226150, _226152, _226154], _226150))], (570 ^ _205345) ^ [] : [-(leq(n0, 564 ^ [_226150, _226152, _226154]))], (572 ^ _205345) ^ [] : [-(leq(564 ^ [_226150, _226152, _226154], _226150))], (574 ^ _205345) ^ [] : [a_select3(_226154, 563 ^ [_226150, _226152, _226154], 564 ^ [_226150, _226152, _226154]) = a_select3(_226154, 564 ^ [_226150, _226152, _226154], 563 ^ [_226150, _226152, _226154])]], 577 ^ _205345 : [(578 ^ _205345) ^ [] : [-(leq(n0, 575 ^ [_226150, _226152, _226154]))], (580 ^ _205345) ^ [] : [-(leq(575 ^ [_226150, _226152, _226154], _226150))], (582 ^ _205345) ^ [] : [-(leq(n0, 576 ^ [_226150, _226152, _226154]))], (584 ^ _205345) ^ [] : [-(leq(576 ^ [_226150, _226152, _226154], _226150))], (586 ^ _205345) ^ [] : [a_select3(_226152, 575 ^ [_226150, _226152, _226154], 576 ^ [_226150, _226152, _226154]) = a_select3(_226152, 576 ^ [_226150, _226152, _226154], 575 ^ [_226150, _226152, _226154])]], 587 ^ _205345 : [(588 ^ _205345) ^ [_227659, _227661] : [-(a_select3(tptp_msub(_226154, _226152), _227661, _227659) = a_select3(tptp_msub(_226154, _226152), _227659, _227661)), leq(n0, _227661), leq(_227661, _226150), leq(n0, _227659), leq(_227659, _226150)]]], (606 ^ _205345) ^ [_228245, _228247, _228249] : [609 ^ _205345 : [(610 ^ _205345) ^ [] : [-(leq(n0, 607 ^ [_228245, _228247, _228249]))], (612 ^ _205345) ^ [] : [-(leq(607 ^ [_228245, _228247, _228249], _228245))], (614 ^ _205345) ^ [] : [-(leq(n0, 608 ^ [_228245, _228247, _228249]))], (616 ^ _205345) ^ [] : [-(leq(608 ^ [_228245, _228247, _228249], _228245))], (618 ^ _205345) ^ [] : [a_select3(_228247, 607 ^ [_228245, _228247, _228249], 608 ^ [_228245, _228247, _228249]) = a_select3(_228247, 608 ^ [_228245, _228247, _228249], 607 ^ [_228245, _228247, _228249])]], 619 ^ _205345 : [(620 ^ _205345) ^ [_229058, _229060] : [-(a_select3(tptp_mmul(_228249, tptp_mmul(_228247, trans(_228249))), _229060, _229058) = a_select3(tptp_mmul(_228249, tptp_mmul(_228247, trans(_228249))), _229058, _229060)), leq(n0, _229060), leq(_229060, _228245), leq(n0, _229058), leq(_229058, _228245)]]], (638 ^ _205345) ^ [_229677, _229679, _229681, _229683] : [641 ^ _205345 : [(642 ^ _205345) ^ [] : [-(leq(n0, 639 ^ [_229677, _229679, _229681, _229683]))], (644 ^ _205345) ^ [] : [-(leq(639 ^ [_229677, _229679, _229681, _229683], _229677))], (646 ^ _205345) ^ [] : [-(leq(n0, 640 ^ [_229677, _229679, _229681, _229683]))], (648 ^ _205345) ^ [] : [-(leq(640 ^ [_229677, _229679, _229681, _229683], _229677))], (650 ^ _205345) ^ [] : [a_select3(_229681, 639 ^ [_229677, _229679, _229681, _229683], 640 ^ [_229677, _229679, _229681, _229683]) = a_select3(_229681, 640 ^ [_229677, _229679, _229681, _229683], 639 ^ [_229677, _229679, _229681, _229683])]], 651 ^ _205345 : [(652 ^ _205345) ^ [_230534, _230536] : [-(a_select3(tptp_mmul(_229683, tptp_mmul(_229681, trans(_229683))), _230536, _230534) = a_select3(tptp_mmul(_229683, tptp_mmul(_229681, trans(_229683))), _230534, _230536)), leq(n0, _230536), leq(_230536, _229679), leq(n0, _230534), leq(_230534, _229679)]]], (670 ^ _205345) ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243] : [675 ^ _205345 : [(676 ^ _205345) ^ [] : [-(leq(n0, 673 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (678 ^ _205345) ^ [] : [-(leq(673 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231229))], (680 ^ _205345) ^ [] : [-(leq(n0, 674 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (682 ^ _205345) ^ [] : [-(leq(674 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231229))], (684 ^ _205345) ^ [] : [a_select3(_231237, 673 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 674 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]) = a_select3(_231237, 674 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 673 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243])]], 689 ^ _205345 : [(690 ^ _205345) ^ [] : [-(leq(n0, 687 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (692 ^ _205345) ^ [] : [-(leq(687 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231231))], (694 ^ _205345) ^ [] : [-(leq(n0, 688 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (696 ^ _205345) ^ [] : [-(leq(688 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231231))], (698 ^ _205345) ^ [] : [a_select3(_231243, 687 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 688 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]) = a_select3(_231243, 688 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 687 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243])]], 701 ^ _205345 : [(702 ^ _205345) ^ [] : [-(leq(n0, 699 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (704 ^ _205345) ^ [] : [-(leq(699 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231231))], (706 ^ _205345) ^ [] : [-(leq(n0, 700 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]))], (708 ^ _205345) ^ [] : [-(leq(700 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], _231231))], (710 ^ _205345) ^ [] : [a_select3(_231233, 699 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 700 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243]) = a_select3(_231233, 700 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243], 699 ^ [_231229, _231231, _231233, _231235, _231237, _231239, _231241, _231243])]], 711 ^ _205345 : [(712 ^ _205345) ^ [_234157, _234159] : [-(a_select3(tptp_madd(_231243, tptp_mmul(_231241, tptp_mmul(tptp_madd(tptp_mmul(_231239, tptp_mmul(_231237, trans(_231239))), tptp_mmul(_231235, tptp_mmul(_231233, trans(_231235)))), trans(_231241)))), _234159, _234157) = a_select3(tptp_madd(_231243, tptp_mmul(_231241, tptp_mmul(tptp_madd(tptp_mmul(_231239, tptp_mmul(_231237, trans(_231239))), tptp_mmul(_231235, tptp_mmul(_231233, trans(_231235)))), trans(_231241)))), _234157, _234159)), leq(n0, _234159), leq(_234159, _231231), leq(n0, _234157), leq(_234157, _231231)]]], (730 ^ _205345) ^ [_234910] : [-(sum(n0, tptp_minus_1, _234910) = n0)], (732 ^ _205345) ^ [_234992] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _234992))], (734 ^ _205345) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _205345) ^ [_235127] : [-(plus(_235127, n1) = succ(_235127))], (738 ^ _205345) ^ [_235210] : [-(plus(n1, _235210) = succ(_235210))], (740 ^ _205345) ^ [_235293] : [-(plus(_235293, n2) = succ(succ(_235293)))], (742 ^ _205345) ^ [_235378] : [-(plus(n2, _235378) = succ(succ(_235378)))], (744 ^ _205345) ^ [_235463] : [-(plus(_235463, n3) = succ(succ(succ(_235463))))], (746 ^ _205345) ^ [_235550] : [-(plus(n3, _235550) = succ(succ(succ(_235550))))], (748 ^ _205345) ^ [_235637] : [-(plus(_235637, n4) = succ(succ(succ(succ(_235637)))))], (750 ^ _205345) ^ [_235726] : [-(plus(n4, _235726) = succ(succ(succ(succ(_235726)))))], (752 ^ _205345) ^ [_235815] : [-(plus(_235815, n5) = succ(succ(succ(succ(succ(_235815))))))], (754 ^ _205345) ^ [_235906] : [-(plus(n5, _235906) = succ(succ(succ(succ(succ(_235906))))))], (756 ^ _205345) ^ [_235997] : [-(minus(_235997, n1) = pred(_235997))], (758 ^ _205345) ^ [_236080] : [-(pred(succ(_236080)) = _236080)], (760 ^ _205345) ^ [_236162] : [-(succ(pred(_236162)) = _236162)], (762 ^ _205345) ^ [_236302, _236304] : [leq(succ(_236304), succ(_236302)), -(leq(_236304, _236302))], (768 ^ _205345) ^ [_236472, _236474] : [leq(_236474, _236472), -(leq(succ(_236474), succ(_236472)))], (774 ^ _205345) ^ [_236692, _236694] : [leq(succ(_236694), _236692), -(gt(_236692, _236694))], (780 ^ _205345) ^ [_236906, _236908] : [leq(minus(_236908, _236906), _236908), -(leq(n0, _236906))], (786 ^ _205345) ^ [_237135, _237137, _237139, _237141] : [-(a_select3(tptp_update3(_237141, _237139, _237137, _237135), _237139, _237137) = _237135)], (788 ^ _205345) ^ [_237327, _237329, _237331, _237333, _237335, _237337, _237339] : [-(a_select3(tptp_update3(_237331, _237339, _237337, _237327), _237335, _237333) = _237329), -(_237339 = _237335), _237337 = _237333, a_select3(_237331, _237335, _237333) = _237329], (802 ^ _205345) ^ [_237870, _237872, _237874, _237876, _237878, _237880] : [-(a_select3(tptp_update3(_237872, _237876, _237874, _237870), _237880, _237878) = _237870), 807 ^ _205345 : [(808 ^ _205345) ^ [] : [-(leq(n0, 805 ^ [_237870, _237872, _237874, _237876, _237878, _237880]))], (810 ^ _205345) ^ [] : [-(leq(n0, 806 ^ [_237870, _237872, _237874, _237876, _237878, _237880]))], (812 ^ _205345) ^ [] : [-(leq(805 ^ [_237870, _237872, _237874, _237876, _237878, _237880], _237876))], (814 ^ _205345) ^ [] : [-(leq(806 ^ [_237870, _237872, _237874, _237876, _237878, _237880], _237874))], (816 ^ _205345) ^ [] : [a_select3(_237872, 805 ^ [_237870, _237872, _237874, _237876, _237878, _237880], 806 ^ [_237870, _237872, _237874, _237876, _237878, _237880]) = _237870]], leq(n0, _237880), leq(_237880, _237876), leq(n0, _237878), leq(_237878, _237874)], (834 ^ _205345) ^ [_239212, _239214, _239216] : [-(a_select2(tptp_update2(_239216, _239214, _239212), _239214) = _239212)], (836 ^ _205345) ^ [_239372, _239374, _239376, _239378, _239380] : [-(a_select2(tptp_update2(_239376, _239380, _239372), _239378) = _239374), -(_239380 = _239378), a_select2(_239376, _239378) = _239374], (865 ^ _205345) ^ [] : [-(true)], (867 ^ _205345) ^ [] : [def = use], (846 ^ _205345) ^ [_239752, _239754, _239756, _239758] : [-(a_select2(tptp_update2(_239754, _239756, _239752), _239758) = _239752), 850 ^ _205345 : [(851 ^ _205345) ^ [] : [-(leq(n0, 849 ^ [_239752, _239754, _239756, _239758]))], (853 ^ _205345) ^ [] : [-(leq(849 ^ [_239752, _239754, _239756, _239758], _239756))], (855 ^ _205345) ^ [] : [a_select2(_239754, 849 ^ [_239752, _239754, _239756, _239758]) = _239752]], leq(n0, _239758), leq(_239758, _239756)]], input).
% 0.34/1.39 ncf('1',plain,[true],start(1125 ^ 0)).
% 0.34/1.39 ncf('1.1',plain,[-(true)],extension(865 ^ 1)).
% 0.34/1.39 %-----------------------------------------------------
% 0.34/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------