TSTP Solution File: COM023+4 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% 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 10:14:36 EDT 2023

% Result   : Theorem 48.23s 46.97s
% Output   : Proof 48.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : nanocop.sh %s %d
% 0.10/0.29  % Computer : n028.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Fri May 19 03:36:03 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 48.23/46.97  
% 48.23/46.97  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 48.23/46.97  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.23/46.97  %-----------------------------------------------------
% 48.23/46.97  ncf(matrix, plain, [(756 ^ _146582) ^ [] : [-(aElement0(750 ^ []))], (838 ^ _146582) ^ [] : [isConfluent0(xR)], (796 ^ _146582) ^ [_148520] : [aElement0(_148520), 801 ^ _146582 : [(802 ^ _146582) ^ [] : [749 ^ [] = _148520], (816 ^ _146582) ^ [] : [sdtmndtplgtdt0(749 ^ [], xR, _148520)], (806 ^ _146582) ^ [_148915] : [aElement0(_148915), aReductOfIn0(_148915, 749 ^ [], xR), sdtmndtplgtdt0(_148915, xR, _148520)], (818 ^ _146582) ^ [] : [sdtmndtasgtdt0(749 ^ [], xR, _148520)], (804 ^ _146582) ^ [] : [aReductOfIn0(_148520, 749 ^ [], xR)]], 819 ^ _146582 : [(820 ^ _146582) ^ [] : [750 ^ [] = _148520], (834 ^ _146582) ^ [] : [sdtmndtplgtdt0(750 ^ [], xR, _148520)], (824 ^ _146582) ^ [_149448] : [aElement0(_149448), aReductOfIn0(_149448, 750 ^ [], xR), sdtmndtplgtdt0(_149448, xR, _148520)], (836 ^ _146582) ^ [] : [sdtmndtasgtdt0(750 ^ [], xR, _148520)], (822 ^ _146582) ^ [] : [aReductOfIn0(_148520, 750 ^ [], xR)]]], (775 ^ _146582) ^ [] : [-(sdtmndtasgtdt0(748 ^ [], xR, 749 ^ []))], (758 ^ _146582) ^ [] : [-(748 ^ [] = 749 ^ []), 761 ^ _146582 : [(762 ^ _146582) ^ [] : [-(aReductOfIn0(749 ^ [], 748 ^ [], xR)), 766 ^ _146582 : [(771 ^ _146582) ^ [] : [-(sdtmndtplgtdt0(765 ^ [], xR, 749 ^ []))], (769 ^ _146582) ^ [] : [-(aReductOfIn0(765 ^ [], 748 ^ [], xR))], (767 ^ _146582) ^ [] : [-(aElement0(765 ^ []))]]], (773 ^ _146582) ^ [] : [-(sdtmndtplgtdt0(748 ^ [], xR, 749 ^ []))]]], (777 ^ _146582) ^ [] : [-(748 ^ [] = 750 ^ []), 780 ^ _146582 : [(781 ^ _146582) ^ [] : [-(aReductOfIn0(750 ^ [], 748 ^ [], xR)), 785 ^ _146582 : [(790 ^ _146582) ^ [] : [-(sdtmndtplgtdt0(784 ^ [], xR, 750 ^ []))], (788 ^ _146582) ^ [] : [-(aReductOfIn0(784 ^ [], 748 ^ [], xR))], (786 ^ _146582) ^ [] : [-(aElement0(784 ^ []))]]], (792 ^ _146582) ^ [] : [-(sdtmndtplgtdt0(748 ^ [], xR, 750 ^ []))]]], (754 ^ _146582) ^ [] : [-(aElement0(749 ^ []))], (794 ^ _146582) ^ [] : [-(sdtmndtasgtdt0(748 ^ [], xR, 750 ^ []))], (752 ^ _146582) ^ [] : [-(aElement0(748 ^ []))], !, (110 ^ _122018) ^ [_125644, _125646, _125648, _125650, _125652, _125654] : [-(sdtmndtplgtdt0(_125652, _125648, _125644)), sdtmndtplgtdt0(_125654, _125650, _125646), _125654 = _125652, _125650 = _125648, _125646 = _125644], (417 ^ _122018) ^ [_135006] : [aRewritingSystem0(_135006), 420 ^ _122018 : [(421 ^ _122018) ^ [] : [isLocallyConfluent0(_135006), 424 ^ _122018 : [(425 ^ _122018) ^ [_135324, _135326, _135328] : [445 ^ _122018 : [(450 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_135324, _135006, 444 ^ [_135006, _135324, _135326, _135328]))], (448 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_135326, _135006, 444 ^ [_135006, _135324, _135326, _135328]))], (446 ^ _122018) ^ [] : [-(aElement0(444 ^ [_135006, _135324, _135326, _135328]))]], aElement0(_135328), aElement0(_135326), aElement0(_135324), aReductOfIn0(_135326, _135328, _135006), aReductOfIn0(_135324, _135328, _135006)]]], (452 ^ _122018) ^ [] : [-(isLocallyConfluent0(_135006)), 456 ^ _122018 : [(459 ^ _122018) ^ [] : [-(aElement0(454 ^ [_135006]))], (457 ^ _122018) ^ [] : [-(aElement0(453 ^ [_135006]))], (467 ^ _122018) ^ [_136886] : [aElement0(_136886), sdtmndtasgtdt0(454 ^ [_135006], _135006, _136886), sdtmndtasgtdt0(455 ^ [_135006], _135006, _136886)], (463 ^ _122018) ^ [] : [-(aReductOfIn0(454 ^ [_135006], 453 ^ [_135006], _135006))], (465 ^ _122018) ^ [] : [-(aReductOfIn0(455 ^ [_135006], 453 ^ [_135006], _135006))], (461 ^ _122018) ^ [] : [-(aElement0(455 ^ [_135006]))]]]]], (515 ^ _122018) ^ [_138432, _138434] : [aElement0(_138434), aRewritingSystem0(_138432), 522 ^ _122018 : [(533 ^ _122018) ^ [_139055] : [-(aNormalFormOfIn0(_139055, _138434, _138432)), aElement0(_139055), sdtmndtasgtdt0(_138434, _138432, _139055), -(aReductOfIn0(542 ^ [_138432, _138434, _139055], _139055, _138432))], (523 ^ _122018) ^ [_138704] : [aNormalFormOfIn0(_138704, _138434, _138432), 526 ^ _122018 : [(531 ^ _122018) ^ [_138980] : [aReductOfIn0(_138980, _138704, _138432)], (529 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_138434, _138432, _138704))], (527 ^ _122018) ^ [] : [-(aElement0(_138704))]]]]], (58 ^ _122018) ^ [_123973, _123975, _123977, _123979] : [-(iLess0(_123977, _123973)), iLess0(_123979, _123975), _123979 = _123977, _123975 = _123973], (654 ^ _122018) ^ [] : [-(isTerminating0(xR))], (156 ^ _122018) ^ [_127091] : [aElement0(_127091), true___, -(true___)], (10 ^ _122018) ^ [_122433, _122435, _122437] : [-(_122437 = _122433), _122437 = _122435, _122435 = _122433], (355 ^ _122018) ^ [_132753] : [aRewritingSystem0(_132753), 358 ^ _122018 : [(359 ^ _122018) ^ [] : [isConfluent0(_132753), 362 ^ _122018 : [(363 ^ _122018) ^ [_133071, _133073, _133075] : [383 ^ _122018 : [(388 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_133071, _132753, 382 ^ [_132753, _133071, _133073, _133075]))], (386 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_133073, _132753, 382 ^ [_132753, _133071, _133073, _133075]))], (384 ^ _122018) ^ [] : [-(aElement0(382 ^ [_132753, _133071, _133073, _133075]))]], aElement0(_133075), aElement0(_133073), aElement0(_133071), sdtmndtasgtdt0(_133075, _132753, _133073), sdtmndtasgtdt0(_133075, _132753, _133071)]]], (390 ^ _122018) ^ [] : [-(isConfluent0(_132753)), 394 ^ _122018 : [(397 ^ _122018) ^ [] : [-(aElement0(392 ^ [_132753]))], (395 ^ _122018) ^ [] : [-(aElement0(391 ^ [_132753]))], (405 ^ _122018) ^ [_134633] : [aElement0(_134633), sdtmndtasgtdt0(392 ^ [_132753], _132753, _134633), sdtmndtasgtdt0(393 ^ [_132753], _132753, _134633)], (401 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_132753], _132753, 392 ^ [_132753]))], (403 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(391 ^ [_132753], _132753, 393 ^ [_132753]))], (399 ^ _122018) ^ [] : [-(aElement0(393 ^ [_132753]))]]]]], (548 ^ _122018) ^ [_139527] : [aRewritingSystem0(_139527), isTerminating0(_139527), 555 ^ _122018 : [(556 ^ _122018) ^ [_139746] : [aElement0(_139746), -(aNormalFormOfIn0(559 ^ [_139527, _139746], _139746, _139527))]]], (38 ^ _122018) ^ [_123355, _123357] : [-(aRewritingSystem0(_123355)), _123357 = _123355, aRewritingSystem0(_123357)], (128 ^ _122018) ^ [_126253, _126255, _126257, _126259, _126261, _126263] : [-(sdtmndtasgtdt0(_126261, _126257, _126253)), sdtmndtasgtdt0(_126263, _126259, _126255), _126263 = _126261, _126259 = _126257, _126255 = _126253], (329 ^ _122018) ^ [_132058, _132060, _132062, _132064] : [-(sdtmndtasgtdt0(_132064, _132062, _132058)), sdtmndtasgtdt0(_132064, _132062, _132060), sdtmndtasgtdt0(_132060, _132062, _132058), aElement0(_132064), aRewritingSystem0(_132062), aElement0(_132060), aElement0(_132058)], (230 ^ _122018) ^ [_129125, _129127, _129129] : [aElement0(_129129), aRewritingSystem0(_129127), aElement0(_129125), 241 ^ _122018 : [(257 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(_129129, _129127, _129125)), 258 ^ _122018 : [(261 ^ _122018) ^ [_130056] : [aElement0(_130056), aReductOfIn0(_130056, _129129, _129127), sdtmndtplgtdt0(_130056, _129127, _129125)], (259 ^ _122018) ^ [] : [aReductOfIn0(_129125, _129129, _129127)]]], (242 ^ _122018) ^ [] : [sdtmndtplgtdt0(_129129, _129127, _129125), -(aReductOfIn0(_129125, _129129, _129127)), 250 ^ _122018 : [(255 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(249 ^ [_129125, _129127, _129129], _129127, _129125))], (253 ^ _122018) ^ [] : [-(aReductOfIn0(249 ^ [_129125, _129127, _129129], _129129, _129127))], (251 ^ _122018) ^ [] : [-(aElement0(249 ^ [_129125, _129127, _129129]))]]]]], (146 ^ _122018) ^ [_126786, _126788] : [-(isConfluent0(_126786)), _126788 = _126786, isConfluent0(_126788)], (4 ^ _122018) ^ [_122229, _122231] : [_122231 = _122229, -(_122229 = _122231)], (656 ^ _122018) ^ [_143199, _143201, _143203] : [aElement0(_143203), aElement0(_143201), aElement0(_143199), 671 ^ _122018 : [(672 ^ _122018) ^ [] : [_143203 = _143201], (686 ^ _122018) ^ [] : [sdtmndtplgtdt0(_143203, xR, _143201)], (676 ^ _122018) ^ [_143936] : [aElement0(_143936), aReductOfIn0(_143936, _143203, xR), sdtmndtplgtdt0(_143936, xR, _143201)], (688 ^ _122018) ^ [] : [sdtmndtasgtdt0(_143203, xR, _143201)], (674 ^ _122018) ^ [] : [aReductOfIn0(_143201, _143203, xR)]], 689 ^ _122018 : [(690 ^ _122018) ^ [] : [_143203 = _143199], (704 ^ _122018) ^ [] : [sdtmndtplgtdt0(_143203, xR, _143199)], (694 ^ _122018) ^ [_144509] : [aElement0(_144509), aReductOfIn0(_144509, _143203, xR), sdtmndtplgtdt0(_144509, xR, _143199)], (706 ^ _122018) ^ [] : [sdtmndtasgtdt0(_143203, xR, _143199)], (692 ^ _122018) ^ [] : [aReductOfIn0(_143199, _143203, xR)]], 708 ^ _122018 : [(709 ^ _122018) ^ [] : [-(aElement0(707 ^ [_143199, _143201, _143203]))], (728 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_143201, xR, 707 ^ [_143199, _143201, _143203]))], (730 ^ _122018) ^ [] : [-(_143199 = 707 ^ [_143199, _143201, _143203]), 733 ^ _122018 : [(734 ^ _122018) ^ [] : [-(aReductOfIn0(707 ^ [_143199, _143201, _143203], _143199, xR)), 738 ^ _122018 : [(743 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(737 ^ [_143199, _143201, _143203], xR, 707 ^ [_143199, _143201, _143203]))], (741 ^ _122018) ^ [] : [-(aReductOfIn0(737 ^ [_143199, _143201, _143203], _143199, xR))], (739 ^ _122018) ^ [] : [-(aElement0(737 ^ [_143199, _143201, _143203]))]]], (745 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(_143199, xR, 707 ^ [_143199, _143201, _143203]))]]], (747 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_143199, xR, 707 ^ [_143199, _143201, _143203]))], (711 ^ _122018) ^ [] : [-(_143201 = 707 ^ [_143199, _143201, _143203]), 714 ^ _122018 : [(715 ^ _122018) ^ [] : [-(aReductOfIn0(707 ^ [_143199, _143201, _143203], _143201, xR)), 719 ^ _122018 : [(724 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(718 ^ [_143199, _143201, _143203], xR, 707 ^ [_143199, _143201, _143203]))], (722 ^ _122018) ^ [] : [-(aReductOfIn0(718 ^ [_143199, _143201, _143203], _143201, xR))], (720 ^ _122018) ^ [] : [-(aElement0(718 ^ [_143199, _143201, _143203]))]]], (726 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(_143201, xR, 707 ^ [_143199, _143201, _143203]))]]]]], (92 ^ _122018) ^ [_125035, _125037, _125039, _125041, _125043, _125045] : [-(aReductOfIn0(_125043, _125039, _125035)), aReductOfIn0(_125045, _125041, _125037), _125045 = _125043, _125041 = _125039, _125037 = _125035], (20 ^ _122018) ^ [_122802, _122804, _122806, _122808, _122810, _122812] : [-(aNormalFormOfIn0(_122810, _122806, _122802)), aNormalFormOfIn0(_122812, _122808, _122804), _122812 = _122810, _122808 = _122806, _122804 = _122802], (2 ^ _122018) ^ [_122122] : [-(_122122 = _122122)], (208 ^ _122018) ^ [_128538, _128540, _128542] : [aElement0(_128542), aRewritingSystem0(_128540), aElement0(_128538), sdtmndtplgtdt0(_128542, _128540, _128538), true___, -(true___)], (48 ^ _122018) ^ [_123650, _123652] : [-(isLocallyConfluent0(_123650)), _123652 = _123650, isLocallyConfluent0(_123652)], (626 ^ _122018) ^ [] : [-(isLocallyConfluent0(xR))], (82 ^ _122018) ^ [_124684, _124686] : [-(aElement0(_124684)), _124686 = _124684, aElement0(_124686)], (176 ^ _122018) ^ [_127615, _127617] : [aElement0(_127617), aRewritingSystem0(_127615), 183 ^ _122018 : [(184 ^ _122018) ^ [_127837] : [aReductOfIn0(_127837, _127617, _127615), -(aElement0(_127837))]]], (166 ^ _122018) ^ [_127346] : [aRewritingSystem0(_127346), true___, -(true___)], (563 ^ _122018) ^ [] : [-(aRewritingSystem0(xR))], (479 ^ _122018) ^ [_137259] : [aRewritingSystem0(_137259), 482 ^ _122018 : [(483 ^ _122018) ^ [] : [isTerminating0(_137259), 486 ^ _122018 : [(487 ^ _122018) ^ [_137528, _137530] : [aElement0(_137530), aElement0(_137528), sdtmndtplgtdt0(_137530, _137259, _137528), -(iLess0(_137528, _137530))]]], (501 ^ _122018) ^ [] : [504 ^ _122018 : [(507 ^ _122018) ^ [] : [-(aElement0(503 ^ [_137259]))], (509 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(502 ^ [_137259], _137259, 503 ^ [_137259]))], (511 ^ _122018) ^ [] : [iLess0(503 ^ [_137259], 502 ^ [_137259])], (505 ^ _122018) ^ [] : [-(aElement0(502 ^ [_137259]))]], -(isTerminating0(_137259))]]], (190 ^ _122018) ^ [_128064, _128066] : [aElement0(_128066), aElement0(_128064), iLess0(_128066, _128064), true___, -(true___)], (565 ^ _122018) ^ [_140110, _140112, _140114] : [aElement0(_140114), aElement0(_140112), aElement0(_140110), aReductOfIn0(_140112, _140114, xR), aReductOfIn0(_140110, _140114, xR), 585 ^ _122018 : [(586 ^ _122018) ^ [] : [-(aElement0(584 ^ [_140110, _140112, _140114]))], (605 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_140112, xR, 584 ^ [_140110, _140112, _140114]))], (607 ^ _122018) ^ [] : [-(_140110 = 584 ^ [_140110, _140112, _140114]), 610 ^ _122018 : [(611 ^ _122018) ^ [] : [-(aReductOfIn0(584 ^ [_140110, _140112, _140114], _140110, xR)), 615 ^ _122018 : [(620 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(614 ^ [_140110, _140112, _140114], xR, 584 ^ [_140110, _140112, _140114]))], (618 ^ _122018) ^ [] : [-(aReductOfIn0(614 ^ [_140110, _140112, _140114], _140110, xR))], (616 ^ _122018) ^ [] : [-(aElement0(614 ^ [_140110, _140112, _140114]))]]], (622 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(_140110, xR, 584 ^ [_140110, _140112, _140114]))]]], (624 ^ _122018) ^ [] : [-(sdtmndtasgtdt0(_140110, xR, 584 ^ [_140110, _140112, _140114]))], (588 ^ _122018) ^ [] : [-(_140112 = 584 ^ [_140110, _140112, _140114]), 591 ^ _122018 : [(592 ^ _122018) ^ [] : [-(aReductOfIn0(584 ^ [_140110, _140112, _140114], _140112, xR)), 596 ^ _122018 : [(601 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(595 ^ [_140110, _140112, _140114], xR, 584 ^ [_140110, _140112, _140114]))], (599 ^ _122018) ^ [] : [-(aReductOfIn0(595 ^ [_140110, _140112, _140114], _140112, xR))], (597 ^ _122018) ^ [] : [-(aElement0(595 ^ [_140110, _140112, _140114]))]]], (603 ^ _122018) ^ [] : [-(sdtmndtplgtdt0(_140112, xR, 584 ^ [_140110, _140112, _140114]))]]]]], (72 ^ _122018) ^ [_124389, _124391] : [-(isTerminating0(_124389)), _124391 = _124389, isTerminating0(_124391)], (299 ^ _122018) ^ [_131200, _131202, _131204] : [aElement0(_131204), aRewritingSystem0(_131202), aElement0(_131200), 310 ^ _122018 : [(311 ^ _122018) ^ [] : [sdtmndtasgtdt0(_131204, _131202, _131200), -(_131204 = _131200), -(sdtmndtplgtdt0(_131204, _131202, _131200))], (321 ^ _122018) ^ [] : [322 ^ _122018 : [(325 ^ _122018) ^ [] : [sdtmndtplgtdt0(_131204, _131202, _131200)], (323 ^ _122018) ^ [] : [_131204 = _131200]], -(sdtmndtasgtdt0(_131204, _131202, _131200))]]], (628 ^ _122018) ^ [_142372, _142374] : [aElement0(_142374), aElement0(_142372), -(iLess0(_142372, _142374)), 637 ^ _122018 : [(640 ^ _122018) ^ [_142741] : [aElement0(_142741), aReductOfIn0(_142741, _142374, xR), sdtmndtplgtdt0(_142741, xR, _142372)], (650 ^ _122018) ^ [] : [sdtmndtplgtdt0(_142374, xR, _142372)], (638 ^ _122018) ^ [] : [aReductOfIn0(_142372, _142374, xR)]]], (273 ^ _122018) ^ [_130477, _130479, _130481, _130483] : [-(sdtmndtplgtdt0(_130483, _130481, _130477)), sdtmndtplgtdt0(_130483, _130481, _130479), sdtmndtplgtdt0(_130479, _130481, _130477), aElement0(_130483), aRewritingSystem0(_130481), aElement0(_130479), aElement0(_130477)]], input).
% 48.23/46.97  ncf('1',plain,[-(sdtmndtasgtdt0(748 ^ [], xR, 749 ^ []))],start(775 ^ 0)).
% 48.23/46.97  ncf('1.1',plain,[sdtmndtasgtdt0(748 ^ [], xR, 749 ^ []), aElement0(748 ^ []), aElement0(749 ^ []), aElement0(750 ^ []), 690 : 748 ^ [] = 750 ^ [], 709 : -(aElement0(707 ^ [750 ^ [], 749 ^ [], 748 ^ []]))],extension(656 ^ 1,bind([[_143199, _143201, _143203], [750 ^ [], 749 ^ [], 748 ^ []]]))).
% 48.23/46.97  ncf('1.1.1',plain,[-(aElement0(748 ^ []))],extension(752 ^ 2)).
% 48.23/46.97  ncf('1.1.2',plain,[-(aElement0(749 ^ []))],extension(754 ^ 2)).
% 48.23/46.97  ncf('1.1.3',plain,[-(aElement0(750 ^ []))],extension(756 ^ 2)).
% 48.23/46.97  ncf('1.1.4',plain,[-(748 ^ [] = 750 ^ []), 781 : -(aReductOfIn0(750 ^ [], 748 ^ [], xR)), 790 : -(sdtmndtplgtdt0(784 ^ [], xR, 750 ^ []))],extension(777 ^ 4)).
% 48.23/46.97  ncf('1.1.4.1',plain,[aReductOfIn0(750 ^ [], 748 ^ [], xR)],extension(692 ^ 7)).
% 48.23/46.97  ncf('1.1.4.2',plain,[sdtmndtplgtdt0(784 ^ [], xR, 750 ^ []), aElement0(784 ^ []), aReductOfIn0(784 ^ [], 748 ^ [], xR)],extension(694 ^ 9,bind([[_144509], [784 ^ []]]))).
% 48.23/46.97  ncf('1.1.4.2.1',plain,[-(aElement0(784 ^ []))],extension(786 ^ 10)).
% 48.23/46.97  ncf('1.1.4.2.2',plain,[-(aReductOfIn0(784 ^ [], 748 ^ [], xR))],extension(788 ^ 10)).
% 48.23/46.97  ncf('1.1.5',plain,[aElement0(707 ^ [750 ^ [], 749 ^ [], 748 ^ []]), 818 : sdtmndtasgtdt0(749 ^ [], xR, 707 ^ [750 ^ [], 749 ^ [], 748 ^ []]), 836 : sdtmndtasgtdt0(750 ^ [], xR, 707 ^ [750 ^ [], 749 ^ [], 748 ^ []])],extension(796 ^ 4,bind([[_148520], [707 ^ [750 ^ [], 749 ^ [], 748 ^ []]]]))).
% 48.23/46.97  ncf('1.1.5.1',plain,[-(sdtmndtasgtdt0(749 ^ [], xR, 707 ^ [750 ^ [], 749 ^ [], 748 ^ []]))],extension(728 ^ 7)).
% 48.23/46.97  ncf('1.1.5.2',plain,[-(sdtmndtasgtdt0(750 ^ [], xR, 707 ^ [750 ^ [], 749 ^ [], 748 ^ []]))],extension(747 ^ 7)).
% 48.23/46.97  %-----------------------------------------------------
% 48.23/46.97  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------