TSTP Solution File: COM017+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 101.19s 98.60s
% Output : Proof 101.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n009.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 03:15:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 101.19/98.60
% 101.19/98.60 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.19/98.60 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.19/98.60 %-----------------------------------------------------
% 101.19/98.60 ncf(matrix, plain, [(622 ^ _77651) ^ [_97473] : [aElement0(_97473), sdtmndtasgtdt0(xu, xR, _97473), sdtmndtasgtdt0(xv, xR, _97473)], (2 ^ _77651) ^ [_77775] : [-(_77775 = _77775)], (4 ^ _77651) ^ [_77882, _77884] : [_77884 = _77882, -(_77882 = _77884)], (10 ^ _77651) ^ [_78086, _78088, _78090] : [-(_78090 = _78086), _78090 = _78088, _78088 = _78086], (20 ^ _77651) ^ [_78399, _78401] : [-(isConfluent0(_78399)), _78401 = _78399, isConfluent0(_78401)], (30 ^ _77651) ^ [_78750, _78752, _78754, _78756, _78758, _78760] : [-(aNormalFormOfIn0(_78758, _78754, _78750)), aNormalFormOfIn0(_78760, _78756, _78752), _78760 = _78758, _78756 = _78754, _78752 = _78750], (48 ^ _77651) ^ [_79303, _79305] : [-(aRewritingSystem0(_79303)), _79305 = _79303, aRewritingSystem0(_79305)], (58 ^ _77651) ^ [_79598, _79600] : [-(isLocallyConfluent0(_79598)), _79600 = _79598, isLocallyConfluent0(_79600)], (68 ^ _77651) ^ [_79893, _79895] : [-(isTerminating0(_79893)), _79895 = _79893, isTerminating0(_79895)], (78 ^ _77651) ^ [_80216, _80218, _80220, _80222] : [-(iLess0(_80220, _80216)), iLess0(_80222, _80218), _80222 = _80220, _80218 = _80216], (92 ^ _77651) ^ [_80688, _80690, _80692, _80694, _80696, _80698] : [-(sdtmndtplgtdt0(_80696, _80692, _80688)), sdtmndtplgtdt0(_80698, _80694, _80690), _80698 = _80696, _80694 = _80692, _80690 = _80688], (110 ^ _77651) ^ [_81297, _81299, _81301, _81303, _81305, _81307] : [-(aReductOfIn0(_81305, _81301, _81297)), aReductOfIn0(_81307, _81303, _81299), _81307 = _81305, _81303 = _81301, _81299 = _81297], (128 ^ _77651) ^ [_81850, _81852] : [-(aElement0(_81850)), _81852 = _81850, aElement0(_81852)], (138 ^ _77651) ^ [_82181, _82183, _82185, _82187, _82189, _82191] : [-(sdtmndtasgtdt0(_82189, _82185, _82181)), sdtmndtasgtdt0(_82191, _82187, _82183), _82191 = _82189, _82187 = _82185, _82183 = _82181], (156 ^ _77651) ^ [_82744] : [aElement0(_82744), true___, -(true___)], (166 ^ _77651) ^ [_82999] : [aRewritingSystem0(_82999), true___, -(true___)], (176 ^ _77651) ^ [_83268, _83270] : [aElement0(_83270), aRewritingSystem0(_83268), 183 ^ _77651 : [(184 ^ _77651) ^ [_83490] : [aReductOfIn0(_83490, _83270, _83268), -(aElement0(_83490))]]], (190 ^ _77651) ^ [_83717, _83719] : [aElement0(_83719), aElement0(_83717), iLess0(_83719, _83717), true___, -(true___)], (208 ^ _77651) ^ [_84191, _84193, _84195] : [aElement0(_84195), aRewritingSystem0(_84193), aElement0(_84191), sdtmndtplgtdt0(_84195, _84193, _84191), true___, -(true___)], (230 ^ _77651) ^ [_84778, _84780, _84782] : [aElement0(_84782), aRewritingSystem0(_84780), aElement0(_84778), 241 ^ _77651 : [(242 ^ _77651) ^ [] : [sdtmndtplgtdt0(_84782, _84780, _84778), -(aReductOfIn0(_84778, _84782, _84780)), 250 ^ _77651 : [(251 ^ _77651) ^ [] : [-(aElement0(249 ^ [_84778, _84780, _84782]))], (253 ^ _77651) ^ [] : [-(aReductOfIn0(249 ^ [_84778, _84780, _84782], _84782, _84780))], (255 ^ _77651) ^ [] : [-(sdtmndtplgtdt0(249 ^ [_84778, _84780, _84782], _84780, _84778))]]], (257 ^ _77651) ^ [] : [-(sdtmndtplgtdt0(_84782, _84780, _84778)), 258 ^ _77651 : [(259 ^ _77651) ^ [] : [aReductOfIn0(_84778, _84782, _84780)], (261 ^ _77651) ^ [_85709] : [aElement0(_85709), aReductOfIn0(_85709, _84782, _84780), sdtmndtplgtdt0(_85709, _84780, _84778)]]]]], (273 ^ _77651) ^ [_86130, _86132, _86134, _86136] : [-(sdtmndtplgtdt0(_86136, _86134, _86130)), sdtmndtplgtdt0(_86136, _86134, _86132), sdtmndtplgtdt0(_86132, _86134, _86130), aElement0(_86136), aRewritingSystem0(_86134), aElement0(_86132), aElement0(_86130)], (299 ^ _77651) ^ [_86853, _86855, _86857] : [aElement0(_86857), aRewritingSystem0(_86855), aElement0(_86853), 310 ^ _77651 : [(321 ^ _77651) ^ [] : [322 ^ _77651 : [(323 ^ _77651) ^ [] : [_86857 = _86853], (325 ^ _77651) ^ [] : [sdtmndtplgtdt0(_86857, _86855, _86853)]], -(sdtmndtasgtdt0(_86857, _86855, _86853))], (311 ^ _77651) ^ [] : [sdtmndtasgtdt0(_86857, _86855, _86853), -(_86857 = _86853), -(sdtmndtplgtdt0(_86857, _86855, _86853))]]], (329 ^ _77651) ^ [_87711, _87713, _87715, _87717] : [-(sdtmndtasgtdt0(_87717, _87715, _87711)), sdtmndtasgtdt0(_87717, _87715, _87713), sdtmndtasgtdt0(_87713, _87715, _87711), aElement0(_87717), aRewritingSystem0(_87715), aElement0(_87713), aElement0(_87711)], (355 ^ _77651) ^ [_88406] : [aRewritingSystem0(_88406), 358 ^ _77651 : [(390 ^ _77651) ^ [] : [-(isConfluent0(_88406)), 394 ^ _77651 : [(395 ^ _77651) ^ [] : [-(aElement0(391 ^ [_88406]))], (397 ^ _77651) ^ [] : [-(aElement0(392 ^ [_88406]))], (399 ^ _77651) ^ [] : [-(aElement0(393 ^ [_88406]))], (401 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_88406], _88406, 392 ^ [_88406]))], (403 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_88406], _88406, 393 ^ [_88406]))], (405 ^ _77651) ^ [_90286] : [aElement0(_90286), sdtmndtasgtdt0(392 ^ [_88406], _88406, _90286), sdtmndtasgtdt0(393 ^ [_88406], _88406, _90286)]]], (359 ^ _77651) ^ [] : [isConfluent0(_88406), 362 ^ _77651 : [(363 ^ _77651) ^ [_88724, _88726, _88728] : [383 ^ _77651 : [(384 ^ _77651) ^ [] : [-(aElement0(382 ^ [_88406, _88724, _88726, _88728]))], (386 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_88726, _88406, 382 ^ [_88406, _88724, _88726, _88728]))], (388 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_88724, _88406, 382 ^ [_88406, _88724, _88726, _88728]))]], aElement0(_88728), aElement0(_88726), aElement0(_88724), sdtmndtasgtdt0(_88728, _88406, _88726), sdtmndtasgtdt0(_88728, _88406, _88724)]]]]], (417 ^ _77651) ^ [_90659] : [aRewritingSystem0(_90659), 420 ^ _77651 : [(452 ^ _77651) ^ [] : [-(isLocallyConfluent0(_90659)), 456 ^ _77651 : [(457 ^ _77651) ^ [] : [-(aElement0(453 ^ [_90659]))], (459 ^ _77651) ^ [] : [-(aElement0(454 ^ [_90659]))], (461 ^ _77651) ^ [] : [-(aElement0(455 ^ [_90659]))], (463 ^ _77651) ^ [] : [-(aReductOfIn0(454 ^ [_90659], 453 ^ [_90659], _90659))], (465 ^ _77651) ^ [] : [-(aReductOfIn0(455 ^ [_90659], 453 ^ [_90659], _90659))], (467 ^ _77651) ^ [_92539] : [aElement0(_92539), sdtmndtasgtdt0(454 ^ [_90659], _90659, _92539), sdtmndtasgtdt0(455 ^ [_90659], _90659, _92539)]]], (421 ^ _77651) ^ [] : [isLocallyConfluent0(_90659), 424 ^ _77651 : [(425 ^ _77651) ^ [_90977, _90979, _90981] : [445 ^ _77651 : [(446 ^ _77651) ^ [] : [-(aElement0(444 ^ [_90659, _90977, _90979, _90981]))], (448 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_90979, _90659, 444 ^ [_90659, _90977, _90979, _90981]))], (450 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_90977, _90659, 444 ^ [_90659, _90977, _90979, _90981]))]], aElement0(_90981), aElement0(_90979), aElement0(_90977), aReductOfIn0(_90979, _90981, _90659), aReductOfIn0(_90977, _90981, _90659)]]]]], (479 ^ _77651) ^ [_92912] : [aRewritingSystem0(_92912), 482 ^ _77651 : [(501 ^ _77651) ^ [] : [504 ^ _77651 : [(505 ^ _77651) ^ [] : [-(aElement0(502 ^ [_92912]))], (507 ^ _77651) ^ [] : [-(aElement0(503 ^ [_92912]))], (509 ^ _77651) ^ [] : [-(sdtmndtplgtdt0(502 ^ [_92912], _92912, 503 ^ [_92912]))], (511 ^ _77651) ^ [] : [iLess0(503 ^ [_92912], 502 ^ [_92912])]], -(isTerminating0(_92912))], (483 ^ _77651) ^ [] : [isTerminating0(_92912), 486 ^ _77651 : [(487 ^ _77651) ^ [_93181, _93183] : [aElement0(_93183), aElement0(_93181), sdtmndtplgtdt0(_93183, _92912, _93181), -(iLess0(_93181, _93183))]]]]], (515 ^ _77651) ^ [_94085, _94087] : [aElement0(_94087), aRewritingSystem0(_94085), 522 ^ _77651 : [(523 ^ _77651) ^ [_94357] : [aNormalFormOfIn0(_94357, _94087, _94085), 526 ^ _77651 : [(527 ^ _77651) ^ [] : [-(aElement0(_94357))], (529 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_94087, _94085, _94357))], (531 ^ _77651) ^ [_94633] : [aReductOfIn0(_94633, _94357, _94085)]]], (533 ^ _77651) ^ [_94708] : [-(aNormalFormOfIn0(_94708, _94087, _94085)), aElement0(_94708), sdtmndtasgtdt0(_94087, _94085, _94708), -(aReductOfIn0(542 ^ [_94085, _94087, _94708], _94708, _94085))]]], (548 ^ _77651) ^ [_95180] : [aRewritingSystem0(_95180), isTerminating0(_95180), 555 ^ _77651 : [(556 ^ _77651) ^ [_95399] : [aElement0(_95399), -(aNormalFormOfIn0(559 ^ [_95180, _95399], _95399, _95180))]]], (563 ^ _77651) ^ [] : [-(aRewritingSystem0(xR))], (565 ^ _77651) ^ [] : [-(isLocallyConfluent0(xR))], (567 ^ _77651) ^ [] : [-(isTerminating0(xR))], (569 ^ _77651) ^ [] : [-(aElement0(xa))], (571 ^ _77651) ^ [] : [-(aElement0(xb))], (573 ^ _77651) ^ [] : [-(aElement0(xc))], (606 ^ _77651) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xb))], (608 ^ _77651) ^ [] : [-(sdtmndtplgtdt0(xa, xR, xc))], (610 ^ _77651) ^ [] : [-(aElement0(xu))], (612 ^ _77651) ^ [] : [-(aReductOfIn0(xu, xa, xR))], (614 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(xu, xR, xb))], (616 ^ _77651) ^ [] : [-(aElement0(xv))], (618 ^ _77651) ^ [] : [-(aReductOfIn0(xv, xa, xR))], (620 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(xv, xR, xc))], (575 ^ _77651) ^ [_96014, _96016, _96018] : [iLess0(_96018, xa), 599 ^ _77651 : [(600 ^ _77651) ^ [] : [-(aElement0(598 ^ [_96014, _96016, _96018]))], (602 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_96016, xR, 598 ^ [_96014, _96016, _96018]))], (604 ^ _77651) ^ [] : [-(sdtmndtasgtdt0(_96014, xR, 598 ^ [_96014, _96016, _96018]))]], aElement0(_96018), aElement0(_96016), aElement0(_96014), sdtmndtasgtdt0(_96018, xR, _96016), sdtmndtasgtdt0(_96018, xR, _96014)]], input).
% 101.19/98.60 ncf('1',plain,[aElement0(444 ^ [xR, xv, xu, xa]), sdtmndtasgtdt0(xu, xR, 444 ^ [xR, xv, xu, xa]), sdtmndtasgtdt0(xv, xR, 444 ^ [xR, xv, xu, xa])],start(622 ^ 0,bind([[_97473], [444 ^ [xR, xv, xu, xa]]]))).
% 101.19/98.60 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([[_90659, _90977, _90979, _90981], [xR, xv, xu, xa]]))).
% 101.19/98.60 ncf('1.1.1',plain,[-(aElement0(xa))],extension(569 ^ 6)).
% 101.19/98.60 ncf('1.1.2',plain,[-(aElement0(xu))],extension(610 ^ 6)).
% 101.19/98.60 ncf('1.1.3',plain,[-(aElement0(xv))],extension(616 ^ 6)).
% 101.19/98.60 ncf('1.1.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(612 ^ 6)).
% 101.19/98.60 ncf('1.1.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(618 ^ 6)).
% 101.19/98.60 ncf('1.1.6',plain,[-(isLocallyConfluent0(xR))],extension(565 ^ 4)).
% 101.19/98.60 ncf('1.1.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 101.19/98.60 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 ^ 1,bind([[_90659, _90977, _90979, _90981], [xR, xv, xu, xa]]))).
% 101.19/98.60 ncf('1.2.1',plain,[-(aElement0(xa))],extension(569 ^ 6)).
% 101.19/98.60 ncf('1.2.2',plain,[-(aElement0(xu))],extension(610 ^ 6)).
% 101.19/98.60 ncf('1.2.3',plain,[-(aElement0(xv))],extension(616 ^ 6)).
% 101.19/98.60 ncf('1.2.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(612 ^ 6)).
% 101.19/98.60 ncf('1.2.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(618 ^ 6)).
% 101.19/98.60 ncf('1.2.6',plain,[-(isLocallyConfluent0(xR))],extension(565 ^ 4)).
% 101.19/98.60 ncf('1.2.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 101.19/98.60 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 ^ 1,bind([[_90659, _90977, _90979, _90981], [xR, xv, xu, xa]]))).
% 101.19/98.60 ncf('1.3.1',plain,[-(aElement0(xa))],extension(569 ^ 6)).
% 101.19/98.60 ncf('1.3.2',plain,[-(aElement0(xu))],extension(610 ^ 6)).
% 101.19/98.60 ncf('1.3.3',plain,[-(aElement0(xv))],extension(616 ^ 6)).
% 101.19/98.60 ncf('1.3.4',plain,[-(aReductOfIn0(xu, xa, xR))],extension(612 ^ 6)).
% 101.19/98.60 ncf('1.3.5',plain,[-(aReductOfIn0(xv, xa, xR))],extension(618 ^ 6)).
% 101.19/98.60 ncf('1.3.6',plain,[-(isLocallyConfluent0(xR))],extension(565 ^ 4)).
% 101.19/98.60 ncf('1.3.7',plain,[-(aRewritingSystem0(xR))],extension(563 ^ 2)).
% 101.19/98.60 %-----------------------------------------------------
% 101.19/98.60 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------