%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SWV043+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.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 12:19:49 EDT 2023
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV043+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : nanocop.sh %s %d
% 0.12/0.36 % Computer : n015.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri May 19 02:26:37 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.34/1.41
% 0.34/1.41 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.41 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 ncf(matrix, plain, [(1041 ^ _194099) ^ [] : [-(true)], (1043 ^ _194099) ^ [] : [true], (2 ^ _194099) ^ [_194243] : [-(_194243 = _194243)], (4 ^ _194099) ^ [_194350, _194352] : [_194352 = _194350, -(_194350 = _194352)], (10 ^ _194099) ^ [_194554, _194556, _194558] : [-(_194558 = _194554), _194558 = _194556, _194556 = _194554], (20 ^ _194099) ^ [_194895, _194897, _194899, _194901] : [-(lt(_194899, _194895)), lt(_194901, _194897), _194901 = _194899, _194897 = _194895], (34 ^ _194099) ^ [_195339, _195341, _195343, _195345] : [-(geq(_195343, _195339)), geq(_195345, _195341), _195345 = _195343, _195341 = _195339], (48 ^ _194099) ^ [_195783, _195785, _195787, _195789] : [-(gt(_195787, _195783)), gt(_195789, _195785), _195789 = _195787, _195785 = _195783], (62 ^ _194099) ^ [_196207, _196209, _196211, _196213] : [-(leq(_196211, _196207)), leq(_196213, _196209), _196213 = _196211, _196209 = _196207], (76 ^ _194099) ^ [_196663, _196665, _196667, _196669] : [-(uniform_int_rnd(_196669, _196665) = uniform_int_rnd(_196667, _196663)), _196669 = _196667, _196665 = _196663], (86 ^ _194099) ^ [_197022, _197024, _197026, _197028] : [-(tptp_const_array1(_197028, _197024) = tptp_const_array1(_197026, _197022)), _197028 = _197026, _197024 = _197022], (96 ^ _194099) ^ [_197409, _197411, _197413, _197415, _197417, _197419] : [-(tptp_const_array2(_197419, _197415, _197411) = tptp_const_array2(_197417, _197413, _197409)), _197419 = _197417, _197415 = _197413, _197411 = _197409], (110 ^ _194099) ^ [_197897, _197899, _197901, _197903] : [-(dim(_197903, _197899) = dim(_197901, _197897)), _197903 = _197901, _197899 = _197897], (120 ^ _194099) ^ [_198228, _198230] : [_198230 = _198228, -(inv(_198230) = inv(_198228))], (126 ^ _194099) ^ [_198474, _198476, _198478, _198480] : [-(tptp_msub(_198480, _198476) = tptp_msub(_198478, _198474)), _198480 = _198478, _198476 = _198474], (136 ^ _194099) ^ [_198833, _198835, _198837, _198839] : [-(tptp_madd(_198839, _198835) = tptp_madd(_198837, _198833)), _198839 = _198837, _198835 = _198833], (146 ^ _194099) ^ [_199192, _199194, _199196, _199198] : [-(tptp_mmul(_199198, _199194) = tptp_mmul(_199196, _199192)), _199198 = _199196, _199194 = _199192], (156 ^ _194099) ^ [_199523, _199525] : [_199525 = _199523, -(trans(_199525) = trans(_199523))], (162 ^ _194099) ^ [_199797, _199799, _199801, _199803, _199805, _199807] : [-(sum(_199807, _199803, _199799) = sum(_199805, _199801, _199797)), _199807 = _199805, _199803 = _199801, _199799 = _199797], (176 ^ _194099) ^ [_200285, _200287, _200289, _200291] : [-(plus(_200291, _200287) = plus(_200289, _200285)), _200291 = _200289, _200287 = _200285], (186 ^ _194099) ^ [_200616, _200618] : [_200618 = _200616, -(pred(_200618) = pred(_200616))], (192 ^ _194099) ^ [_200862, _200864, _200866, _200868] : [-(minus(_200868, _200864) = minus(_200866, _200862)), _200868 = _200866, _200864 = _200862], (202 ^ _194099) ^ [_201249, _201251, _201253, _201255, _201257, _201259] : [-(a_select3(_201259, _201255, _201251) = a_select3(_201257, _201253, _201249)), _201259 = _201257, _201255 = _201253, _201251 = _201249], (216 ^ _194099) ^ [_201793, _201795, _201797, _201799, _201801, _201803, _201805, _201807] : [-(tptp_update3(_201807, _201803, _201799, _201795) = tptp_update3(_201805, _201801, _201797, _201793)), _201807 = _201805, _201803 = _201801, _201799 = _201797, _201795 = _201793], (234 ^ _194099) ^ [_202426, _202428, _202430, _202432] : [-(a_select2(_202432, _202428) = a_select2(_202430, _202426)), _202432 = _202430, _202428 = _202426], (258 ^ _194099) ^ [_203253, _203255] : [_203255 = _203253, -(succ(_203255) = succ(_203253))], (244 ^ _194099) ^ [_202813, _202815, _202817, _202819, _202821, _202823] : [-(tptp_update2(_202823, _202819, _202815) = tptp_update2(_202821, _202817, _202813)), _202823 = _202821, _202819 = _202817, _202815 = _202813], (869 ^ _194099) ^ [] : [-(gt(n5, n4))], (871 ^ _194099) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _194099) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _194099) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _194099) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _194099) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _194099) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _194099) ^ [] : [-(gt(n4, n0))], (885 ^ _194099) ^ [] : [-(gt(n5, n0))], (887 ^ _194099) ^ [] : [-(gt(n1, n0))], (889 ^ _194099) ^ [] : [-(gt(n2, n0))], (891 ^ _194099) ^ [] : [-(gt(n3, n0))], (893 ^ _194099) ^ [] : [-(gt(n4, n1))], (895 ^ _194099) ^ [] : [-(gt(n5, n1))], (897 ^ _194099) ^ [] : [-(gt(n2, n1))], (899 ^ _194099) ^ [] : [-(gt(n3, n1))], (901 ^ _194099) ^ [] : [-(gt(n4, n2))], (903 ^ _194099) ^ [] : [-(gt(n5, n2))], (905 ^ _194099) ^ [] : [-(gt(n3, n2))], (907 ^ _194099) ^ [] : [-(gt(n4, n3))], (909 ^ _194099) ^ [] : [-(gt(n5, n3))], (911 ^ _194099) ^ [_230609] : [leq(n0, _230609), leq(_230609, n4), -(_230609 = n0), -(_230609 = n1), -(_230609 = n2), -(_230609 = n3), -(_230609 = n4)], (937 ^ _194099) ^ [_231230] : [leq(n0, _231230), leq(_231230, n5), -(_231230 = n0), -(_231230 = n1), -(_231230 = n2), -(_231230 = n3), -(_231230 = n4), -(_231230 = n5)], (967 ^ _194099) ^ [_231937] : [-(_231937 = n0), leq(n0, _231937), leq(_231937, n0)], (977 ^ _194099) ^ [_232212] : [leq(n0, _232212), leq(_232212, n1), -(_232212 = n0), -(_232212 = n1)], (991 ^ _194099) ^ [_232575] : [leq(n0, _232575), leq(_232575, n2), -(_232575 = n0), -(_232575 = n1), -(_232575 = n2)], (1031 ^ _194099) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _194099) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _194099) ^ [] : [-(succ(n0) = n1)], (1037 ^ _194099) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _194099) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _194099) ^ [_233024] : [leq(n0, _233024), leq(_233024, n3), -(_233024 = n0), -(_233024 = n1), -(_233024 = n2), -(_233024 = n3)], (264 ^ _194099) ^ [_203571, _203573] : [-(gt(_203573, _203571)), -(gt(_203571, _203573)), -(_203573 = _203571)], (274 ^ _194099) ^ [_203886, _203888, _203890] : [-(gt(_203890, _203886)), gt(_203890, _203888), gt(_203888, _203886)], (284 ^ _194099) ^ [_204165] : [gt(_204165, _204165)], (286 ^ _194099) ^ [_204243] : [-(leq(_204243, _204243))], (288 ^ _194099) ^ [_204364, _204366, _204368] : [-(leq(_204368, _204364)), leq(_204368, _204366), leq(_204366, _204364)], (298 ^ _194099) ^ [_204702, _204704] : [lt(_204704, _204702), -(gt(_204702, _204704))], (304 ^ _194099) ^ [_204864, _204866] : [gt(_204864, _204866), -(lt(_204866, _204864))], (310 ^ _194099) ^ [_205105, _205107] : [geq(_205107, _205105), -(leq(_205105, _205107))], (316 ^ _194099) ^ [_205267, _205269] : [leq(_205267, _205269), -(geq(_205269, _205267))], (322 ^ _194099) ^ [_205479, _205481] : [gt(_205479, _205481), -(leq(_205481, _205479))], (328 ^ _194099) ^ [_205689, _205691] : [-(gt(_205689, _205691)), leq(_205691, _205689), -(_205691 = _205689)], (338 ^ _194099) ^ [_206020, _206022] : [leq(_206022, pred(_206020)), -(gt(_206020, _206022))], (344 ^ _194099) ^ [_206186, _206188] : [gt(_206186, _206188), -(leq(_206188, pred(_206186)))], (350 ^ _194099) ^ [_206373] : [-(gt(succ(_206373), _206373))], (352 ^ _194099) ^ [_206482, _206484] : [leq(_206484, _206482), -(leq(_206484, succ(_206482)))], (358 ^ _194099) ^ [_206725, _206727] : [leq(_206727, _206725), -(gt(succ(_206725), _206727))], (364 ^ _194099) ^ [_206891, _206893] : [gt(succ(_206891), _206893), -(leq(_206893, _206891))], (370 ^ _194099) ^ [_207107, _207109] : [leq(n0, _207109), -(leq(uniform_int_rnd(_207107, _207109), _207109))], (376 ^ _194099) ^ [_207323, _207325] : [leq(n0, _207325), -(leq(n0, uniform_int_rnd(_207323, _207325)))], (382 ^ _194099) ^ [_207567, _207569, _207571, _207573] : [-(a_select2(tptp_const_array1(dim(_207571, _207569), _207567), _207573) = _207567), leq(_207571, _207573), leq(_207573, _207569)], (392 ^ _194099) ^ [_207974, _207976, _207978, _207980, _207982, _207984, _207986] : [-(a_select3(tptp_const_array2(dim(_207984, _207982), dim(_207978, _207976), _207974), _207986, _207980) = _207974), leq(_207984, _207986), leq(_207986, _207982), leq(_207978, _207980), leq(_207980, _207976)], (410 ^ _194099) ^ [_208569, _208571] : [413 ^ _194099 : [(414 ^ _194099) ^ [] : [-(leq(n0, 411 ^ [_208569, _208571]))], (416 ^ _194099) ^ [] : [-(leq(411 ^ [_208569, _208571], _208569))], (418 ^ _194099) ^ [] : [-(leq(n0, 412 ^ [_208569, _208571]))], (420 ^ _194099) ^ [] : [-(leq(412 ^ [_208569, _208571], _208569))], (422 ^ _194099) ^ [] : [a_select3(_208571, 411 ^ [_208569, _208571], 412 ^ [_208569, _208571]) = a_select3(_208571, 412 ^ [_208569, _208571], 411 ^ [_208569, _208571])]], 423 ^ _194099 : [(424 ^ _194099) ^ [_209326, _209328] : [-(a_select3(trans(_208571), _209328, _209326) = a_select3(trans(_208571), _209326, _209328)), leq(n0, _209328), leq(_209328, _208569), leq(n0, _209326), leq(_209326, _208569)]]], (442 ^ _194099) ^ [_209873, _209875] : [445 ^ _194099 : [(446 ^ _194099) ^ [] : [-(leq(n0, 443 ^ [_209873, _209875]))], (448 ^ _194099) ^ [] : [-(leq(443 ^ [_209873, _209875], _209873))], (450 ^ _194099) ^ [] : [-(leq(n0, 444 ^ [_209873, _209875]))], (452 ^ _194099) ^ [] : [-(leq(444 ^ [_209873, _209875], _209873))], (454 ^ _194099) ^ [] : [a_select3(_209875, 443 ^ [_209873, _209875], 444 ^ [_209873, _209875]) = a_select3(_209875, 444 ^ [_209873, _209875], 443 ^ [_209873, _209875])]], 455 ^ _194099 : [(456 ^ _194099) ^ [_210630, _210632] : [-(a_select3(inv(_209875), _210632, _210630) = a_select3(inv(_209875), _210630, _210632)), leq(n0, _210632), leq(_210632, _209873), leq(n0, _210630), leq(_210630, _209873)]]], (474 ^ _194099) ^ [_211177, _211179] : [477 ^ _194099 : [(478 ^ _194099) ^ [] : [-(leq(n0, 475 ^ [_211177, _211179]))], (480 ^ _194099) ^ [] : [-(leq(475 ^ [_211177, _211179], _211177))], (482 ^ _194099) ^ [] : [-(leq(n0, 476 ^ [_211177, _211179]))], (484 ^ _194099) ^ [] : [-(leq(476 ^ [_211177, _211179], _211177))], (486 ^ _194099) ^ [] : [a_select3(_211179, 475 ^ [_211177, _211179], 476 ^ [_211177, _211179]) = a_select3(_211179, 476 ^ [_211177, _211179], 475 ^ [_211177, _211179])]], 487 ^ _194099 : [(488 ^ _194099) ^ [_211990, _211992, _211994, _211996] : [-(a_select3(tptp_update3(_211179, _211992, _211992, _211990), _211996, _211994) = a_select3(tptp_update3(_211179, _211992, _211992, _211990), _211994, _211996)), leq(n0, _211996), leq(_211996, _211177), leq(n0, _211994), leq(_211994, _211177), leq(n0, _211992), leq(_211992, _211177)]]], (514 ^ _194099) ^ [_212809, _212811, _212813] : [519 ^ _194099 : [(520 ^ _194099) ^ [] : [-(leq(n0, 517 ^ [_212809, _212811, _212813]))], (522 ^ _194099) ^ [] : [-(leq(517 ^ [_212809, _212811, _212813], _212809))], (524 ^ _194099) ^ [] : [-(leq(n0, 518 ^ [_212809, _212811, _212813]))], (526 ^ _194099) ^ [] : [-(leq(518 ^ [_212809, _212811, _212813], _212809))], (528 ^ _194099) ^ [] : [a_select3(_212813, 517 ^ [_212809, _212811, _212813], 518 ^ [_212809, _212811, _212813]) = a_select3(_212813, 518 ^ [_212809, _212811, _212813], 517 ^ [_212809, _212811, _212813])]], 531 ^ _194099 : [(532 ^ _194099) ^ [] : [-(leq(n0, 529 ^ [_212809, _212811, _212813]))], (534 ^ _194099) ^ [] : [-(leq(529 ^ [_212809, _212811, _212813], _212809))], (536 ^ _194099) ^ [] : [-(leq(n0, 530 ^ [_212809, _212811, _212813]))], (538 ^ _194099) ^ [] : [-(leq(530 ^ [_212809, _212811, _212813], _212809))], (540 ^ _194099) ^ [] : [a_select3(_212811, 529 ^ [_212809, _212811, _212813], 530 ^ [_212809, _212811, _212813]) = a_select3(_212811, 530 ^ [_212809, _212811, _212813], 529 ^ [_212809, _212811, _212813])]], 541 ^ _194099 : [(542 ^ _194099) ^ [_214318, _214320] : [-(a_select3(tptp_madd(_212813, _212811), _214320, _214318) = a_select3(tptp_madd(_212813, _212811), _214318, _214320)), leq(n0, _214320), leq(_214320, _212809), leq(n0, _214318), leq(_214318, _212809)]]], (560 ^ _194099) ^ [_214904, _214906, _214908] : [565 ^ _194099 : [(566 ^ _194099) ^ [] : [-(leq(n0, 563 ^ [_214904, _214906, _214908]))], (568 ^ _194099) ^ [] : [-(leq(563 ^ [_214904, _214906, _214908], _214904))], (570 ^ _194099) ^ [] : [-(leq(n0, 564 ^ [_214904, _214906, _214908]))], (572 ^ _194099) ^ [] : [-(leq(564 ^ [_214904, _214906, _214908], _214904))], (574 ^ _194099) ^ [] : [a_select3(_214908, 563 ^ [_214904, _214906, _214908], 564 ^ [_214904, _214906, _214908]) = a_select3(_214908, 564 ^ [_214904, _214906, _214908], 563 ^ [_214904, _214906, _214908])]], 577 ^ _194099 : [(578 ^ _194099) ^ [] : [-(leq(n0, 575 ^ [_214904, _214906, _214908]))], (580 ^ _194099) ^ [] : [-(leq(575 ^ [_214904, _214906, _214908], _214904))], (582 ^ _194099) ^ [] : [-(leq(n0, 576 ^ [_214904, _214906, _214908]))], (584 ^ _194099) ^ [] : [-(leq(576 ^ [_214904, _214906, _214908], _214904))], (586 ^ _194099) ^ [] : [a_select3(_214906, 575 ^ [_214904, _214906, _214908], 576 ^ [_214904, _214906, _214908]) = a_select3(_214906, 576 ^ [_214904, _214906, _214908], 575 ^ [_214904, _214906, _214908])]], 587 ^ _194099 : [(588 ^ _194099) ^ [_216413, _216415] : [-(a_select3(tptp_msub(_214908, _214906), _216415, _216413) = a_select3(tptp_msub(_214908, _214906), _216413, _216415)), leq(n0, _216415), leq(_216415, _214904), leq(n0, _216413), leq(_216413, _214904)]]], (606 ^ _194099) ^ [_216999, _217001, _217003] : [609 ^ _194099 : [(610 ^ _194099) ^ [] : [-(leq(n0, 607 ^ [_216999, _217001, _217003]))], (612 ^ _194099) ^ [] : [-(leq(607 ^ [_216999, _217001, _217003], _216999))], (614 ^ _194099) ^ [] : [-(leq(n0, 608 ^ [_216999, _217001, _217003]))], (616 ^ _194099) ^ [] : [-(leq(608 ^ [_216999, _217001, _217003], _216999))], (618 ^ _194099) ^ [] : [a_select3(_217001, 607 ^ [_216999, _217001, _217003], 608 ^ [_216999, _217001, _217003]) = a_select3(_217001, 608 ^ [_216999, _217001, _217003], 607 ^ [_216999, _217001, _217003])]], 619 ^ _194099 : [(620 ^ _194099) ^ [_217812, _217814] : [-(a_select3(tptp_mmul(_217003, tptp_mmul(_217001, trans(_217003))), _217814, _217812) = a_select3(tptp_mmul(_217003, tptp_mmul(_217001, trans(_217003))), _217812, _217814)), leq(n0, _217814), leq(_217814, _216999), leq(n0, _217812), leq(_217812, _216999)]]], (638 ^ _194099) ^ [_218431, _218433, _218435, _218437] : [641 ^ _194099 : [(642 ^ _194099) ^ [] : [-(leq(n0, 639 ^ [_218431, _218433, _218435, _218437]))], (644 ^ _194099) ^ [] : [-(leq(639 ^ [_218431, _218433, _218435, _218437], _218431))], (646 ^ _194099) ^ [] : [-(leq(n0, 640 ^ [_218431, _218433, _218435, _218437]))], (648 ^ _194099) ^ [] : [-(leq(640 ^ [_218431, _218433, _218435, _218437], _218431))], (650 ^ _194099) ^ [] : [a_select3(_218435, 639 ^ [_218431, _218433, _218435, _218437], 640 ^ [_218431, _218433, _218435, _218437]) = a_select3(_218435, 640 ^ [_218431, _218433, _218435, _218437], 639 ^ [_218431, _218433, _218435, _218437])]], 651 ^ _194099 : [(652 ^ _194099) ^ [_219288, _219290] : [-(a_select3(tptp_mmul(_218437, tptp_mmul(_218435, trans(_218437))), _219290, _219288) = a_select3(tptp_mmul(_218437, tptp_mmul(_218435, trans(_218437))), _219288, _219290)), leq(n0, _219290), leq(_219290, _218433), leq(n0, _219288), leq(_219288, _218433)]]], (670 ^ _194099) ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997] : [675 ^ _194099 : [(676 ^ _194099) ^ [] : [-(leq(n0, 673 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (678 ^ _194099) ^ [] : [-(leq(673 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219983))], (680 ^ _194099) ^ [] : [-(leq(n0, 674 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (682 ^ _194099) ^ [] : [-(leq(674 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219983))], (684 ^ _194099) ^ [] : [a_select3(_219991, 673 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 674 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]) = a_select3(_219991, 674 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 673 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997])]], 689 ^ _194099 : [(690 ^ _194099) ^ [] : [-(leq(n0, 687 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (692 ^ _194099) ^ [] : [-(leq(687 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219985))], (694 ^ _194099) ^ [] : [-(leq(n0, 688 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (696 ^ _194099) ^ [] : [-(leq(688 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219985))], (698 ^ _194099) ^ [] : [a_select3(_219997, 687 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 688 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]) = a_select3(_219997, 688 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 687 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997])]], 701 ^ _194099 : [(702 ^ _194099) ^ [] : [-(leq(n0, 699 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (704 ^ _194099) ^ [] : [-(leq(699 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219985))], (706 ^ _194099) ^ [] : [-(leq(n0, 700 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]))], (708 ^ _194099) ^ [] : [-(leq(700 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], _219985))], (710 ^ _194099) ^ [] : [a_select3(_219987, 699 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 700 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997]) = a_select3(_219987, 700 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997], 699 ^ [_219983, _219985, _219987, _219989, _219991, _219993, _219995, _219997])]], 711 ^ _194099 : [(712 ^ _194099) ^ [_222911, _222913] : [-(a_select3(tptp_madd(_219997, tptp_mmul(_219995, tptp_mmul(tptp_madd(tptp_mmul(_219993, tptp_mmul(_219991, trans(_219993))), tptp_mmul(_219989, tptp_mmul(_219987, trans(_219989)))), trans(_219995)))), _222913, _222911) = a_select3(tptp_madd(_219997, tptp_mmul(_219995, tptp_mmul(tptp_madd(tptp_mmul(_219993, tptp_mmul(_219991, trans(_219993))), tptp_mmul(_219989, tptp_mmul(_219987, trans(_219989)))), trans(_219995)))), _222911, _222913)), leq(n0, _222913), leq(_222913, _219985), leq(n0, _222911), leq(_222911, _219985)]]], (730 ^ _194099) ^ [_223664] : [-(sum(n0, tptp_minus_1, _223664) = n0)], (732 ^ _194099) ^ [_223746] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _223746))], (734 ^ _194099) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _194099) ^ [_223881] : [-(plus(_223881, n1) = succ(_223881))], (738 ^ _194099) ^ [_223964] : [-(plus(n1, _223964) = succ(_223964))], (740 ^ _194099) ^ [_224047] : [-(plus(_224047, n2) = succ(succ(_224047)))], (742 ^ _194099) ^ [_224132] : [-(plus(n2, _224132) = succ(succ(_224132)))], (744 ^ _194099) ^ [_224217] : [-(plus(_224217, n3) = succ(succ(succ(_224217))))], (746 ^ _194099) ^ [_224304] : [-(plus(n3, _224304) = succ(succ(succ(_224304))))], (748 ^ _194099) ^ [_224391] : [-(plus(_224391, n4) = succ(succ(succ(succ(_224391)))))], (750 ^ _194099) ^ [_224480] : [-(plus(n4, _224480) = succ(succ(succ(succ(_224480)))))], (752 ^ _194099) ^ [_224569] : [-(plus(_224569, n5) = succ(succ(succ(succ(succ(_224569))))))], (754 ^ _194099) ^ [_224660] : [-(plus(n5, _224660) = succ(succ(succ(succ(succ(_224660))))))], (756 ^ _194099) ^ [_224751] : [-(minus(_224751, n1) = pred(_224751))], (758 ^ _194099) ^ [_224834] : [-(pred(succ(_224834)) = _224834)], (760 ^ _194099) ^ [_224916] : [-(succ(pred(_224916)) = _224916)], (762 ^ _194099) ^ [_225056, _225058] : [leq(succ(_225058), succ(_225056)), -(leq(_225058, _225056))], (768 ^ _194099) ^ [_225226, _225228] : [leq(_225228, _225226), -(leq(succ(_225228), succ(_225226)))], (774 ^ _194099) ^ [_225446, _225448] : [leq(succ(_225448), _225446), -(gt(_225446, _225448))], (780 ^ _194099) ^ [_225660, _225662] : [leq(minus(_225662, _225660), _225662), -(leq(n0, _225660))], (786 ^ _194099) ^ [_225889, _225891, _225893, _225895] : [-(a_select3(tptp_update3(_225895, _225893, _225891, _225889), _225893, _225891) = _225889)], (788 ^ _194099) ^ [_226081, _226083, _226085, _226087, _226089, _226091, _226093] : [-(a_select3(tptp_update3(_226085, _226093, _226091, _226081), _226089, _226087) = _226083), -(_226093 = _226089), _226091 = _226087, a_select3(_226085, _226089, _226087) = _226083], (802 ^ _194099) ^ [_226624, _226626, _226628, _226630, _226632, _226634] : [-(a_select3(tptp_update3(_226626, _226630, _226628, _226624), _226634, _226632) = _226624), 807 ^ _194099 : [(808 ^ _194099) ^ [] : [-(leq(n0, 805 ^ [_226624, _226626, _226628, _226630, _226632, _226634]))], (810 ^ _194099) ^ [] : [-(leq(n0, 806 ^ [_226624, _226626, _226628, _226630, _226632, _226634]))], (812 ^ _194099) ^ [] : [-(leq(805 ^ [_226624, _226626, _226628, _226630, _226632, _226634], _226630))], (814 ^ _194099) ^ [] : [-(leq(806 ^ [_226624, _226626, _226628, _226630, _226632, _226634], _226628))], (816 ^ _194099) ^ [] : [a_select3(_226626, 805 ^ [_226624, _226626, _226628, _226630, _226632, _226634], 806 ^ [_226624, _226626, _226628, _226630, _226632, _226634]) = _226624]], leq(n0, _226634), leq(_226634, _226630), leq(n0, _226632), leq(_226632, _226628)], (834 ^ _194099) ^ [_227966, _227968, _227970] : [-(a_select2(tptp_update2(_227970, _227968, _227966), _227968) = _227966)], (836 ^ _194099) ^ [_228126, _228128, _228130, _228132, _228134] : [-(a_select2(tptp_update2(_228130, _228134, _228126), _228132) = _228128), -(_228134 = _228132), a_select2(_228130, _228132) = _228128], (865 ^ _194099) ^ [] : [-(true)], (867 ^ _194099) ^ [] : [def = use], (846 ^ _194099) ^ [_228506, _228508, _228510, _228512] : [-(a_select2(tptp_update2(_228508, _228510, _228506), _228512) = _228506), 850 ^ _194099 : [(851 ^ _194099) ^ [] : [-(leq(n0, 849 ^ [_228506, _228508, _228510, _228512]))], (853 ^ _194099) ^ [] : [-(leq(849 ^ [_228506, _228508, _228510, _228512], _228510))], (855 ^ _194099) ^ [] : [a_select2(_228508, 849 ^ [_228506, _228508, _228510, _228512]) = _228506]], leq(n0, _228512), leq(_228512, _228510)]], input).
% 0.34/1.41 ncf('1',plain,[true],start(1043 ^ 0)).
% 0.34/1.41 ncf('1.1',plain,[-(true)],extension(1041 ^ 1)).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------