TSTP Solution File: COM017+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 10:14:33 EDT 2023
% Result : Theorem 103.77s 100.67s
% Output : Proof 103.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 03:19:38 EDT 2023
% 0.12/0.33 % CPUTime :
% 103.77/100.67
% 103.77/100.67 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 103.77/100.67 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 103.77/100.67 %-----------------------------------------------------
% 103.77/100.67 ncf(matrix, plain, [(831 ^ _114585) ^ [_141330] : [aElement0(_141330), 836 ^ _114585 : [(837 ^ _114585) ^ [] : [xu = _141330], (839 ^ _114585) ^ [] : [aReductOfIn0(_141330, xu, xR)], (851 ^ _114585) ^ [] : [sdtmndtplgtdt0(xu, xR, _141330)], (853 ^ _114585) ^ [] : [sdtmndtasgtdt0(xu, xR, _141330)], (841 ^ _114585) ^ [_141725] : [aElement0(_141725), aReductOfIn0(_141725, xu, xR), sdtmndtplgtdt0(_141725, xR, _141330)]], 854 ^ _114585 : [(855 ^ _114585) ^ [] : [xv = _141330], (857 ^ _114585) ^ [] : [aReductOfIn0(_141330, xv, xR)], (869 ^ _114585) ^ [] : [sdtmndtplgtdt0(xv, xR, _141330)], (871 ^ _114585) ^ [] : [sdtmndtasgtdt0(xv, xR, _141330)], (859 ^ _114585) ^ [_142258] : [aElement0(_142258), aReductOfIn0(_142258, xv, xR), sdtmndtplgtdt0(_142258, xR, _141330)]]], (2 ^ _114585) ^ [_114709] : [-(_114709 = _114709)], (4 ^ _114585) ^ [_114816, _114818] : [_114818 = _114816, -(_114816 = _114818)], (10 ^ _114585) ^ [_115020, _115022, _115024] : [-(_115024 = _115020), _115024 = _115022, _115022 = _115020], (20 ^ _114585) ^ [_115333, _115335] : [-(isConfluent0(_115333)), _115335 = _115333, isConfluent0(_115335)], (30 ^ _114585) ^ [_115684, _115686, _115688, _115690, _115692, _115694] : [-(aNormalFormOfIn0(_115692, _115688, _115684)), aNormalFormOfIn0(_115694, _115690, _115686), _115694 = _115692, _115690 = _115688, _115686 = _115684], (48 ^ _114585) ^ [_116237, _116239] : [-(aRewritingSystem0(_116237)), _116239 = _116237, aRewritingSystem0(_116239)], (58 ^ _114585) ^ [_116532, _116534] : [-(isLocallyConfluent0(_116532)), _116534 = _116532, isLocallyConfluent0(_116534)], (68 ^ _114585) ^ [_116827, _116829] : [-(isTerminating0(_116827)), _116829 = _116827, isTerminating0(_116829)], (78 ^ _114585) ^ [_117150, _117152, _117154, _117156] : [-(iLess0(_117154, _117150)), iLess0(_117156, _117152), _117156 = _117154, _117152 = _117150], (92 ^ _114585) ^ [_117566, _117568] : [-(aElement0(_117566)), _117568 = _117566, aElement0(_117568)], (102 ^ _114585) ^ [_117917, _117919, _117921, _117923, _117925, _117927] : [-(aReductOfIn0(_117925, _117921, _117917)), aReductOfIn0(_117927, _117923, _117919), _117927 = _117925, _117923 = _117921, _117919 = _117917], (120 ^ _114585) ^ [_118526, _118528, _118530, _118532, _118534, _118536] : [-(sdtmndtplgtdt0(_118534, _118530, _118526)), sdtmndtplgtdt0(_118536, _118532, _118528), _118536 = _118534, _118532 = _118530, _118528 = _118526], (138 ^ _114585) ^ [_119115, _119117, _119119, _119121, _119123, _119125] : [-(sdtmndtasgtdt0(_119123, _119119, _119115)), sdtmndtasgtdt0(_119125, _119121, _119117), _119125 = _119123, _119121 = _119119, _119117 = _119115], (156 ^ _114585) ^ [_119678] : [aElement0(_119678), true___, -(true___)], (166 ^ _114585) ^ [_119933] : [aRewritingSystem0(_119933), true___, -(true___)], (176 ^ _114585) ^ [_120202, _120204] : [aElement0(_120204), aRewritingSystem0(_120202), 183 ^ _114585 : [(184 ^ _114585) ^ [_120424] : [aReductOfIn0(_120424, _120204, _120202), -(aElement0(_120424))]]], (190 ^ _114585) ^ [_120651, _120653] : [aElement0(_120653), aElement0(_120651), iLess0(_120653, _120651), true___, -(true___)], (208 ^ _114585) ^ [_121125, _121127, _121129] : [aElement0(_121129), aRewritingSystem0(_121127), aElement0(_121125), sdtmndtplgtdt0(_121129, _121127, _121125), true___, -(true___)], (230 ^ _114585) ^ [_121712, _121714, _121716] : [aElement0(_121716), aRewritingSystem0(_121714), aElement0(_121712), 241 ^ _114585 : [(242 ^ _114585) ^ [] : [sdtmndtplgtdt0(_121716, _121714, _121712), -(aReductOfIn0(_121712, _121716, _121714)), 250 ^ _114585 : [(251 ^ _114585) ^ [] : [-(aElement0(249 ^ [_121712, _121714, _121716]))], (253 ^ _114585) ^ [] : [-(aReductOfIn0(249 ^ [_121712, _121714, _121716], _121716, _121714))], (255 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(249 ^ [_121712, _121714, _121716], _121714, _121712))]]], (257 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(_121716, _121714, _121712)), 258 ^ _114585 : [(259 ^ _114585) ^ [] : [aReductOfIn0(_121712, _121716, _121714)], (261 ^ _114585) ^ [_122643] : [aElement0(_122643), aReductOfIn0(_122643, _121716, _121714), sdtmndtplgtdt0(_122643, _121714, _121712)]]]]], (273 ^ _114585) ^ [_123064, _123066, _123068, _123070] : [-(sdtmndtplgtdt0(_123070, _123068, _123064)), sdtmndtplgtdt0(_123070, _123068, _123066), sdtmndtplgtdt0(_123066, _123068, _123064), aElement0(_123070), aRewritingSystem0(_123068), aElement0(_123066), aElement0(_123064)], (299 ^ _114585) ^ [_123787, _123789, _123791] : [aElement0(_123791), aRewritingSystem0(_123789), aElement0(_123787), 310 ^ _114585 : [(321 ^ _114585) ^ [] : [322 ^ _114585 : [(323 ^ _114585) ^ [] : [_123791 = _123787], (325 ^ _114585) ^ [] : [sdtmndtplgtdt0(_123791, _123789, _123787)]], -(sdtmndtasgtdt0(_123791, _123789, _123787))], (311 ^ _114585) ^ [] : [sdtmndtasgtdt0(_123791, _123789, _123787), -(_123791 = _123787), -(sdtmndtplgtdt0(_123791, _123789, _123787))]]], (329 ^ _114585) ^ [_124645, _124647, _124649, _124651] : [-(sdtmndtasgtdt0(_124651, _124649, _124645)), sdtmndtasgtdt0(_124651, _124649, _124647), sdtmndtasgtdt0(_124647, _124649, _124645), aElement0(_124651), aRewritingSystem0(_124649), aElement0(_124647), aElement0(_124645)], (355 ^ _114585) ^ [_125340] : [aRewritingSystem0(_125340), 358 ^ _114585 : [(390 ^ _114585) ^ [] : [-(isConfluent0(_125340)), 394 ^ _114585 : [(395 ^ _114585) ^ [] : [-(aElement0(391 ^ [_125340]))], (397 ^ _114585) ^ [] : [-(aElement0(392 ^ [_125340]))], (399 ^ _114585) ^ [] : [-(aElement0(393 ^ [_125340]))], (401 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_125340], _125340, 392 ^ [_125340]))], (403 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_125340], _125340, 393 ^ [_125340]))], (405 ^ _114585) ^ [_127220] : [aElement0(_127220), sdtmndtasgtdt0(392 ^ [_125340], _125340, _127220), sdtmndtasgtdt0(393 ^ [_125340], _125340, _127220)]]], (359 ^ _114585) ^ [] : [isConfluent0(_125340), 362 ^ _114585 : [(363 ^ _114585) ^ [_125658, _125660, _125662] : [383 ^ _114585 : [(384 ^ _114585) ^ [] : [-(aElement0(382 ^ [_125340, _125658, _125660, _125662]))], (386 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_125660, _125340, 382 ^ [_125340, _125658, _125660, _125662]))], (388 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_125658, _125340, 382 ^ [_125340, _125658, _125660, _125662]))]], aElement0(_125662), aElement0(_125660), aElement0(_125658), sdtmndtasgtdt0(_125662, _125340, _125660), sdtmndtasgtdt0(_125662, _125340, _125658)]]]]], (417 ^ _114585) ^ [_127593] : [aRewritingSystem0(_127593), 420 ^ _114585 : [(452 ^ _114585) ^ [] : [-(isLocallyConfluent0(_127593)), 456 ^ _114585 : [(457 ^ _114585) ^ [] : [-(aElement0(453 ^ [_127593]))], (459 ^ _114585) ^ [] : [-(aElement0(454 ^ [_127593]))], (461 ^ _114585) ^ [] : [-(aElement0(455 ^ [_127593]))], (463 ^ _114585) ^ [] : [-(aReductOfIn0(454 ^ [_127593], 453 ^ [_127593], _127593))], (465 ^ _114585) ^ [] : [-(aReductOfIn0(455 ^ [_127593], 453 ^ [_127593], _127593))], (467 ^ _114585) ^ [_129473] : [aElement0(_129473), sdtmndtasgtdt0(454 ^ [_127593], _127593, _129473), sdtmndtasgtdt0(455 ^ [_127593], _127593, _129473)]]], (421 ^ _114585) ^ [] : [isLocallyConfluent0(_127593), 424 ^ _114585 : [(425 ^ _114585) ^ [_127911, _127913, _127915] : [445 ^ _114585 : [(446 ^ _114585) ^ [] : [-(aElement0(444 ^ [_127593, _127911, _127913, _127915]))], (448 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_127913, _127593, 444 ^ [_127593, _127911, _127913, _127915]))], (450 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_127911, _127593, 444 ^ [_127593, _127911, _127913, _127915]))]], aElement0(_127915), aElement0(_127913), aElement0(_127911), aReductOfIn0(_127913, _127915, _127593), aReductOfIn0(_127911, _127915, _127593)]]]]], (479 ^ _114585) ^ [_129846] : [aRewritingSystem0(_129846), 482 ^ _114585 : [(501 ^ _114585) ^ [] : [504 ^ _114585 : [(505 ^ _114585) ^ [] : [-(aElement0(502 ^ [_129846]))], (507 ^ _114585) ^ [] : [-(aElement0(503 ^ [_129846]))], (509 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(502 ^ [_129846], _129846, 503 ^ [_129846]))], (511 ^ _114585) ^ [] : [iLess0(503 ^ [_129846], 502 ^ [_129846])]], -(isTerminating0(_129846))], (483 ^ _114585) ^ [] : [isTerminating0(_129846), 486 ^ _114585 : [(487 ^ _114585) ^ [_130115, _130117] : [aElement0(_130117), aElement0(_130115), sdtmndtplgtdt0(_130117, _129846, _130115), -(iLess0(_130115, _130117))]]]]], (515 ^ _114585) ^ [_131019, _131021] : [aElement0(_131021), aRewritingSystem0(_131019), 522 ^ _114585 : [(523 ^ _114585) ^ [_131291] : [aNormalFormOfIn0(_131291, _131021, _131019), 526 ^ _114585 : [(527 ^ _114585) ^ [] : [-(aElement0(_131291))], (529 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_131021, _131019, _131291))], (531 ^ _114585) ^ [_131567] : [aReductOfIn0(_131567, _131291, _131019)]]], (533 ^ _114585) ^ [_131642] : [-(aNormalFormOfIn0(_131642, _131021, _131019)), aElement0(_131642), sdtmndtasgtdt0(_131021, _131019, _131642), -(aReductOfIn0(542 ^ [_131019, _131021, _131642], _131642, _131019))]]], (548 ^ _114585) ^ [_132114] : [aRewritingSystem0(_132114), isTerminating0(_132114), 555 ^ _114585 : [(556 ^ _114585) ^ [_132333] : [aElement0(_132333), -(aNormalFormOfIn0(559 ^ [_132114, _132333], _132333, _132114))]]], (563 ^ _114585) ^ [] : [-(aRewritingSystem0(xR))], (626 ^ _114585) ^ [] : [-(isLocallyConfluent0(xR))], (654 ^ _114585) ^ [] : [-(isTerminating0(xR))], (628 ^ _114585) ^ [_134959, _134961] : [aElement0(_134961), aElement0(_134959), -(iLess0(_134959, _134961)), 637 ^ _114585 : [(638 ^ _114585) ^ [] : [aReductOfIn0(_134959, _134961, xR)], (650 ^ _114585) ^ [] : [sdtmndtplgtdt0(_134961, xR, _134959)], (640 ^ _114585) ^ [_135328] : [aElement0(_135328), aReductOfIn0(_135328, _134961, xR), sdtmndtplgtdt0(_135328, xR, _134959)]]], (565 ^ _114585) ^ [_132697, _132699, _132701] : [aElement0(_132701), aElement0(_132699), aElement0(_132697), aReductOfIn0(_132699, _132701, xR), aReductOfIn0(_132697, _132701, xR), 585 ^ _114585 : [(586 ^ _114585) ^ [] : [-(aElement0(584 ^ [_132697, _132699, _132701]))], (588 ^ _114585) ^ [] : [-(_132699 = 584 ^ [_132697, _132699, _132701]), 591 ^ _114585 : [(603 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(_132699, xR, 584 ^ [_132697, _132699, _132701]))], (592 ^ _114585) ^ [] : [-(aReductOfIn0(584 ^ [_132697, _132699, _132701], _132699, xR)), 596 ^ _114585 : [(597 ^ _114585) ^ [] : [-(aElement0(595 ^ [_132697, _132699, _132701]))], (599 ^ _114585) ^ [] : [-(aReductOfIn0(595 ^ [_132697, _132699, _132701], _132699, xR))], (601 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(595 ^ [_132697, _132699, _132701], xR, 584 ^ [_132697, _132699, _132701]))]]]]], (605 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_132699, xR, 584 ^ [_132697, _132699, _132701]))], (624 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_132697, xR, 584 ^ [_132697, _132699, _132701]))], (607 ^ _114585) ^ [] : [-(_132697 = 584 ^ [_132697, _132699, _132701]), 610 ^ _114585 : [(622 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(_132697, xR, 584 ^ [_132697, _132699, _132701]))], (611 ^ _114585) ^ [] : [-(aReductOfIn0(584 ^ [_132697, _132699, _132701], _132697, xR)), 615 ^ _114585 : [(616 ^ _114585) ^ [] : [-(aElement0(614 ^ [_132697, _132699, _132701]))], (618 ^ _114585) ^ [] : [-(aReductOfIn0(614 ^ [_132697, _132699, _132701], _132697, xR))], (620 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(614 ^ [_132697, _132699, _132701], xR, 584 ^ [_132697, _132699, _132701]))]]]]]]], (656 ^ _114585) ^ [] : [-(aElement0(xa))], (658 ^ _114585) ^ [] : [-(aElement0(xb))], (660 ^ _114585) ^ [] : [-(aElement0(xc))], (662 ^ _114585) ^ [_135969, _135971, _135973] : [aElement0(_135973), aElement0(_135971), aElement0(_135969), 677 ^ _114585 : [(678 ^ _114585) ^ [] : [_135973 = _135971], (680 ^ _114585) ^ [] : [aReductOfIn0(_135971, _135973, xR)], (692 ^ _114585) ^ [] : [sdtmndtplgtdt0(_135973, xR, _135971)], (694 ^ _114585) ^ [] : [sdtmndtasgtdt0(_135973, xR, _135971)], (682 ^ _114585) ^ [_136712] : [aElement0(_136712), aReductOfIn0(_136712, _135973, xR), sdtmndtplgtdt0(_136712, xR, _135971)]], 695 ^ _114585 : [(696 ^ _114585) ^ [] : [_135973 = _135969], (698 ^ _114585) ^ [] : [aReductOfIn0(_135969, _135973, xR)], (710 ^ _114585) ^ [] : [sdtmndtplgtdt0(_135973, xR, _135969)], (712 ^ _114585) ^ [] : [sdtmndtasgtdt0(_135973, xR, _135969)], (700 ^ _114585) ^ [_137285] : [aElement0(_137285), aReductOfIn0(_137285, _135973, xR), sdtmndtplgtdt0(_137285, xR, _135969)]], iLess0(_135973, xa), 718 ^ _114585 : [(719 ^ _114585) ^ [] : [-(aElement0(717 ^ [_135969, _135971, _135973]))], (721 ^ _114585) ^ [] : [-(_135971 = 717 ^ [_135969, _135971, _135973]), 724 ^ _114585 : [(736 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(_135971, xR, 717 ^ [_135969, _135971, _135973]))], (725 ^ _114585) ^ [] : [-(aReductOfIn0(717 ^ [_135969, _135971, _135973], _135971, xR)), 729 ^ _114585 : [(730 ^ _114585) ^ [] : [-(aElement0(728 ^ [_135969, _135971, _135973]))], (732 ^ _114585) ^ [] : [-(aReductOfIn0(728 ^ [_135969, _135971, _135973], _135971, xR))], (734 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(728 ^ [_135969, _135971, _135973], xR, 717 ^ [_135969, _135971, _135973]))]]]]], (738 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_135971, xR, 717 ^ [_135969, _135971, _135973]))], (757 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(_135969, xR, 717 ^ [_135969, _135971, _135973]))], (740 ^ _114585) ^ [] : [-(_135969 = 717 ^ [_135969, _135971, _135973]), 743 ^ _114585 : [(755 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(_135969, xR, 717 ^ [_135969, _135971, _135973]))], (744 ^ _114585) ^ [] : [-(aReductOfIn0(717 ^ [_135969, _135971, _135973], _135969, xR)), 748 ^ _114585 : [(749 ^ _114585) ^ [] : [-(aElement0(747 ^ [_135969, _135971, _135973]))], (751 ^ _114585) ^ [] : [-(aReductOfIn0(747 ^ [_135969, _135971, _135973], _135969, xR))], (753 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(747 ^ [_135969, _135971, _135973], xR, 717 ^ [_135969, _135971, _135973]))]]]]]]], (759 ^ _114585) ^ [] : [-(aReductOfIn0(xb, xa, xR)), 763 ^ _114585 : [(764 ^ _114585) ^ [] : [-(aElement0(762 ^ []))], (766 ^ _114585) ^ [] : [-(aReductOfIn0(762 ^ [], xa, xR))], (768 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(762 ^ [], xR, xb))]]], (770 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xb))], (783 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xc))], (772 ^ _114585) ^ [] : [-(aReductOfIn0(xc, xa, xR)), 776 ^ _114585 : [(777 ^ _114585) ^ [] : [-(aElement0(775 ^ []))], (779 ^ _114585) ^ [] : [-(aReductOfIn0(775 ^ [], xa, xR))], (781 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(775 ^ [], xR, xc))]]], (785 ^ _114585) ^ [] : [-(aElement0(xu))], (787 ^ _114585) ^ [] : [-(aReductOfIn0(xu, xa, xR))], (806 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(xu, xR, xb))], (789 ^ _114585) ^ [] : [-(xu = xb), 792 ^ _114585 : [(804 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(xu, xR, xb))], (793 ^ _114585) ^ [] : [-(aReductOfIn0(xb, xu, xR)), 797 ^ _114585 : [(798 ^ _114585) ^ [] : [-(aElement0(796 ^ []))], (800 ^ _114585) ^ [] : [-(aReductOfIn0(796 ^ [], xu, xR))], (802 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(796 ^ [], xR, xb))]]]]], (808 ^ _114585) ^ [] : [-(aElement0(xv))], (810 ^ _114585) ^ [] : [-(aReductOfIn0(xv, xa, xR))], (829 ^ _114585) ^ [] : [-(sdtmndtasgtdt0(xv, xR, xc))], (812 ^ _114585) ^ [] : [-(xv = xc), 815 ^ _114585 : [(827 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(xv, xR, xc))], (816 ^ _114585) ^ [] : [-(aReductOfIn0(xc, xv, xR)), 820 ^ _114585 : [(821 ^ _114585) ^ [] : [-(aElement0(819 ^ []))], (823 ^ _114585) ^ [] : [-(aReductOfIn0(819 ^ [], xv, xR))], (825 ^ _114585) ^ [] : [-(sdtmndtplgtdt0(819 ^ [], xR, xc))]]]]]], input).
% 103.77/100.67 ncf('1',plain,[aElement0(444 ^ [xR, xv, xu, xa]), 853 : sdtmndtasgtdt0(xu, xR, 444 ^ [xR, xv, xu, xa]), 871 : sdtmndtasgtdt0(xv, xR, 444 ^ [xR, xv, xu, xa])],start(831 ^ 0,bind([[_141330], [444 ^ [xR, xv, xu, xa]]]))).
% 103.77/100.67 ncf('1.1',plain,[-(aElement0(444 ^ [xR, xv, xu, xa])), 425 : aElement0(xa), 425 : aElement0(xu), 425 : aElement0(xv), 425 : aReductOfIn0(xu, xa, xR), 425 : aReductOfIn0(xv, xa, xR), 425 : isLocallyConfluent0(xR), 421 : aRewritingSystem0(xR)],extension(417 ^ 1,bind([[_127593, _127911, _127913, _127915], [xR, xv, xu, xa]]))).
% 103.77/100.67 ncf('1.1.1',plain,[-(aElement0(xa))],extension(656 ^ 6)).
% 103.77/100.67 ncf('1.1.2',plain,[-(aElement0(xu))],extension(785 ^ 6)).
% 103.77/100.67 ncf('1.1.3',plain,[-(aElement0(xv))],extension(808 ^ 6)).
% 103.77/100.67 ncf('1.1.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(787 ^ 6)).
% 103.77/100.67 ncf('1.1.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(810 ^ 6)).
% 103.77/100.67 ncf('1.1.6',plain,[-(isLocallyConfluent0(xR))],extension(626 ^ 4)).
% 103.77/100.67 ncf('1.1.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 103.77/100.67 ncf('1.2',plain,[-(sdtmndtasgtdt0(xu, xR, 444 ^ [xR, xv, xu, xa])), 425 : aElement0(xa), 425 : aElement0(xu), 425 : aElement0(xv), 425 : aReductOfIn0(xu, xa, xR), 425 : aReductOfIn0(xv, xa, xR), 425 : isLocallyConfluent0(xR), 421 : aRewritingSystem0(xR)],extension(417 ^ 3,bind([[_127593, _127911, _127913, _127915], [xR, xv, xu, xa]]))).
% 103.77/100.67 ncf('1.2.1',plain,[-(aElement0(xa))],extension(656 ^ 8)).
% 103.77/100.67 ncf('1.2.2',plain,[-(aElement0(xu))],extension(785 ^ 8)).
% 103.77/100.67 ncf('1.2.3',plain,[-(aElement0(xv))],extension(808 ^ 8)).
% 103.77/100.67 ncf('1.2.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(787 ^ 8)).
% 103.77/100.67 ncf('1.2.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(810 ^ 8)).
% 103.77/100.67 ncf('1.2.6',plain,[-(isLocallyConfluent0(xR))],extension(626 ^ 6)).
% 103.77/100.67 ncf('1.2.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 4)).
% 103.77/100.67 ncf('1.3',plain,[-(sdtmndtasgtdt0(xv, xR, 444 ^ [xR, xv, xu, xa])), 425 : aElement0(xa), 425 : aElement0(xu), 425 : aElement0(xv), 425 : aReductOfIn0(xu, xa, xR), 425 : aReductOfIn0(xv, xa, xR), 425 : isLocallyConfluent0(xR), 421 : aRewritingSystem0(xR)],extension(417 ^ 3,bind([[_127593, _127911, _127913, _127915], [xR, xv, xu, xa]]))).
% 103.77/100.67 ncf('1.3.1',plain,[-(aElement0(xa))],extension(656 ^ 8)).
% 103.77/100.67 ncf('1.3.2',plain,[-(aElement0(xu))],extension(785 ^ 8)).
% 103.77/100.67 ncf('1.3.3',plain,[-(aElement0(xv))],extension(808 ^ 8)).
% 103.77/100.67 ncf('1.3.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(787 ^ 8)).
% 103.77/100.67 ncf('1.3.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(810 ^ 8)).
% 103.77/100.67 ncf('1.3.6',plain,[-(isLocallyConfluent0(xR))],extension(626 ^ 6)).
% 103.77/100.67 ncf('1.3.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 4)).
% 103.77/100.67 %-----------------------------------------------------
% 103.77/100.67 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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