TSTP Solution File: COM018+4 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : 0s
% DateTime : Fri Jul 15 00:51:09 EDT 2022
% Result : Theorem 0.77s 1.15s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM018+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.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 % DateTime : Thu Jun 16 17:54:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08
% 0.72/1.08 { && }.
% 0.72/1.08 { && }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aReductOfIn0( Z, X, Y ),
% 0.72/1.08 aElement0( Z ) }.
% 0.72/1.08 { && }.
% 0.72/1.08 { && }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.72/1.08 sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y ), alpha1( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.72/1.08 aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! alpha1( X
% 0.72/1.08 , Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! alpha1( X, Y, Z ), aElement0( skol1( T, U, W ) ) }.
% 0.72/1.08 { ! alpha1( X, Y, Z ), alpha6( X, Y, Z, skol1( X, Y, Z ) ) }.
% 0.72/1.08 { ! aElement0( T ), ! alpha6( X, Y, Z, T ), alpha1( X, Y, Z ) }.
% 0.72/1.08 { ! alpha6( X, Y, Z, T ), aReductOfIn0( T, X, Y ) }.
% 0.72/1.08 { ! alpha6( X, Y, Z, T ), sdtmndtplgtdt0( T, Y, Z ) }.
% 0.72/1.08 { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0( T, Y, Z ), alpha6( X, Y, Z,
% 0.72/1.08 T ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0
% 0.72/1.08 ( T ), ! sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ),
% 0.72/1.08 sdtmndtplgtdt0( X, Y, T ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.72/1.08 sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! X = Z,
% 0.72/1.08 sdtmndtasgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.72/1.08 sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0
% 0.72/1.08 ( T ), ! sdtmndtasgtdt0( X, Y, Z ), ! sdtmndtasgtdt0( Z, Y, T ),
% 0.72/1.08 sdtmndtasgtdt0( X, Y, T ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! isConfluent0( X ), ! alpha2( X, Y, Z ),
% 0.72/1.08 alpha7( X, Y, Z ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), alpha2( X, skol2( X ), skol28( X ) ),
% 0.72/1.08 isConfluent0( X ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! alpha7( X, skol2( X ), skol28( X ) ),
% 0.72/1.08 isConfluent0( X ) }.
% 0.72/1.08 { ! alpha7( X, Y, Z ), aElement0( skol3( T, U, W ) ) }.
% 0.72/1.08 { ! alpha7( X, Y, Z ), alpha12( X, Y, Z, skol3( X, Y, Z ) ) }.
% 0.72/1.08 { ! aElement0( T ), ! alpha12( X, Y, Z, T ), alpha7( X, Y, Z ) }.
% 0.72/1.08 { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Y, X, T ) }.
% 0.72/1.08 { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Z, X, T ) }.
% 0.72/1.08 { ! sdtmndtasgtdt0( Y, X, T ), ! sdtmndtasgtdt0( Z, X, T ), alpha12( X, Y,
% 0.72/1.08 Z, T ) }.
% 0.72/1.08 { ! alpha2( X, Y, Z ), aElement0( skol4( T, U, W ) ) }.
% 0.72/1.08 { ! alpha2( X, Y, Z ), alpha8( X, Y, Z, skol4( X, Y, Z ) ) }.
% 0.72/1.08 { ! aElement0( T ), ! alpha8( X, Y, Z, T ), alpha2( X, Y, Z ) }.
% 0.72/1.08 { ! alpha8( X, Y, Z, T ), aElement0( Y ) }.
% 0.72/1.08 { ! alpha8( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.72/1.08 { ! aElement0( Y ), ! alpha13( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha13( X, Y, Z, T ), aElement0( Z ) }.
% 0.72/1.08 { ! alpha13( X, Y, Z, T ), alpha16( X, Y, Z, T ) }.
% 0.72/1.08 { ! aElement0( Z ), ! alpha16( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X, Y ) }.
% 0.72/1.08 { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X, Z ) }.
% 0.72/1.08 { ! sdtmndtasgtdt0( T, X, Y ), ! sdtmndtasgtdt0( T, X, Z ), alpha16( X, Y,
% 0.72/1.08 Z, T ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! isLocallyConfluent0( X ), ! alpha3( X, Y, Z )
% 0.72/1.08 , alpha9( X, Y, Z ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), alpha3( X, skol5( X ), skol29( X ) ),
% 0.72/1.08 isLocallyConfluent0( X ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! alpha9( X, skol5( X ), skol29( X ) ),
% 0.72/1.08 isLocallyConfluent0( X ) }.
% 0.72/1.08 { ! alpha9( X, Y, Z ), aElement0( skol6( T, U, W ) ) }.
% 0.72/1.08 { ! alpha9( X, Y, Z ), alpha14( X, Y, Z, skol6( X, Y, Z ) ) }.
% 0.72/1.08 { ! aElement0( T ), ! alpha14( X, Y, Z, T ), alpha9( X, Y, Z ) }.
% 0.72/1.08 { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Y, X, T ) }.
% 0.72/1.08 { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Z, X, T ) }.
% 0.72/1.08 { ! sdtmndtasgtdt0( Y, X, T ), ! sdtmndtasgtdt0( Z, X, T ), alpha14( X, Y,
% 0.72/1.08 Z, T ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z ), aElement0( skol7( T, U, W ) ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z ), alpha10( X, Y, Z, skol7( X, Y, Z ) ) }.
% 0.72/1.08 { ! aElement0( T ), ! alpha10( X, Y, Z, T ), alpha3( X, Y, Z ) }.
% 0.72/1.08 { ! alpha10( X, Y, Z, T ), aElement0( Y ) }.
% 0.72/1.08 { ! alpha10( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.72/1.08 { ! aElement0( Y ), ! alpha15( X, Y, Z, T ), alpha10( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha15( X, Y, Z, T ), aElement0( Z ) }.
% 0.72/1.08 { ! alpha15( X, Y, Z, T ), alpha17( X, Y, Z, T ) }.
% 0.72/1.08 { ! aElement0( Z ), ! alpha17( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha17( X, Y, Z, T ), aReductOfIn0( Y, T, X ) }.
% 0.72/1.08 { ! alpha17( X, Y, Z, T ), aReductOfIn0( Z, T, X ) }.
% 0.72/1.08 { ! aReductOfIn0( Y, T, X ), ! aReductOfIn0( Z, T, X ), alpha17( X, Y, Z, T
% 0.72/1.08 ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! isTerminating0( X ), ! alpha4( Y, Z ),
% 0.72/1.08 alpha11( X, Y, Z ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), alpha4( skol8( X ), skol30( X ) ),
% 0.72/1.08 isTerminating0( X ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! alpha11( X, skol8( X ), skol30( X ) ),
% 0.72/1.08 isTerminating0( X ) }.
% 0.72/1.08 { ! alpha11( X, Y, Z ), ! sdtmndtplgtdt0( Y, X, Z ), iLess0( Z, Y ) }.
% 0.72/1.08 { sdtmndtplgtdt0( Y, X, Z ), alpha11( X, Y, Z ) }.
% 0.72/1.08 { ! iLess0( Z, Y ), alpha11( X, Y, Z ) }.
% 0.72/1.08 { ! alpha4( X, Y ), aElement0( X ) }.
% 0.72/1.08 { ! alpha4( X, Y ), aElement0( Y ) }.
% 0.72/1.08 { ! aElement0( X ), ! aElement0( Y ), alpha4( X, Y ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aNormalFormOfIn0( Z, X, Y )
% 0.72/1.08 , aElement0( Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aNormalFormOfIn0( Z, X, Y )
% 0.72/1.08 , alpha5( X, Y, Z ) }.
% 0.72/1.08 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! alpha5( X
% 0.72/1.08 , Y, Z ), aNormalFormOfIn0( Z, X, Y ) }.
% 0.72/1.08 { ! alpha5( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z ) }.
% 0.72/1.08 { ! alpha5( X, Y, Z ), ! aReductOfIn0( T, Z, Y ) }.
% 0.72/1.08 { ! sdtmndtasgtdt0( X, Y, Z ), aReductOfIn0( skol9( Y, Z ), Z, Y ), alpha5
% 0.72/1.08 ( X, Y, Z ) }.
% 0.72/1.08 { ! aRewritingSystem0( X ), ! isTerminating0( X ), ! aElement0( Y ),
% 0.72/1.08 aNormalFormOfIn0( skol10( X, Y ), Y, X ) }.
% 0.72/1.08 { aRewritingSystem0( xR ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.72/1.08 Z, xR ), ! aReductOfIn0( Y, Z, xR ), Y = skol11( T, Y ), alpha32( Y,
% 0.72/1.08 skol11( T, Y ) ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.72/1.08 Z, xR ), ! aReductOfIn0( Y, Z, xR ), sdtmndtasgtdt0( Y, xR, skol11( T, Y
% 0.72/1.08 ) ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.72/1.08 Z, xR ), ! aReductOfIn0( Y, Z, xR ), alpha25( X, skol11( X, Y ) ) }.
% 0.72/1.08 { isLocallyConfluent0( xR ) }.
% 0.72/1.08 { alpha18 }.
% 0.72/1.08 { isTerminating0( xR ) }.
% 0.72/1.08 { ! alpha32( X, Y ), alpha39( X, Y ) }.
% 0.72/1.08 { ! alpha32( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha39( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha32( X, Y ) }.
% 0.72/1.08 { ! alpha39( X, Y ), aReductOfIn0( Y, X, xR ), alpha47( X, Y ) }.
% 0.72/1.08 { ! aReductOfIn0( Y, X, xR ), alpha39( X, Y ) }.
% 0.72/1.08 { ! alpha47( X, Y ), alpha39( X, Y ) }.
% 0.72/1.08 { ! alpha47( X, Y ), aElement0( skol12( Z, T ) ) }.
% 0.72/1.08 { ! alpha47( X, Y ), sdtmndtplgtdt0( skol12( Z, Y ), xR, Y ) }.
% 0.72/1.08 { ! alpha47( X, Y ), aReductOfIn0( skol12( X, Y ), X, xR ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.72/1.08 ), alpha47( X, Y ) }.
% 0.72/1.08 { ! alpha25( X, Y ), alpha33( X, Y ) }.
% 0.72/1.08 { ! alpha25( X, Y ), sdtmndtasgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha33( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ), alpha25( X, Y ) }.
% 0.72/1.08 { ! alpha33( X, Y ), aElement0( Y ) }.
% 0.72/1.08 { ! alpha33( X, Y ), alpha40( X, Y ) }.
% 0.72/1.08 { ! aElement0( Y ), ! alpha40( X, Y ), alpha33( X, Y ) }.
% 0.72/1.08 { ! alpha40( X, Y ), X = Y, alpha48( X, Y ) }.
% 0.72/1.08 { ! X = Y, alpha40( X, Y ) }.
% 0.72/1.08 { ! alpha48( X, Y ), alpha40( X, Y ) }.
% 0.72/1.08 { ! alpha48( X, Y ), alpha54( X, Y ) }.
% 0.72/1.08 { ! alpha48( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha54( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha48( X, Y ) }.
% 0.72/1.08 { ! alpha54( X, Y ), aReductOfIn0( Y, X, xR ), alpha59( X, Y ) }.
% 0.72/1.08 { ! aReductOfIn0( Y, X, xR ), alpha54( X, Y ) }.
% 0.72/1.08 { ! alpha59( X, Y ), alpha54( X, Y ) }.
% 0.72/1.08 { ! alpha59( X, Y ), aElement0( skol13( Z, T ) ) }.
% 0.72/1.08 { ! alpha59( X, Y ), sdtmndtplgtdt0( skol13( Z, Y ), xR, Y ) }.
% 0.72/1.08 { ! alpha59( X, Y ), aReductOfIn0( skol13( X, Y ), X, xR ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.72/1.08 ), alpha59( X, Y ) }.
% 0.72/1.08 { ! alpha18, alpha26( X, Y ), iLess0( Y, X ) }.
% 0.72/1.08 { ! alpha26( skol14, skol31 ), alpha18 }.
% 0.72/1.08 { ! iLess0( skol31, skol14 ), alpha18 }.
% 0.72/1.08 { ! alpha26( X, Y ), alpha34( X, Y ), alpha41( X, Y ) }.
% 0.72/1.08 { ! alpha34( X, Y ), alpha26( X, Y ) }.
% 0.72/1.08 { ! alpha41( X, Y ), alpha26( X, Y ) }.
% 0.72/1.08 { ! alpha41( X, Y ), alpha49( X, Y ) }.
% 0.72/1.08 { ! alpha41( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha49( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha41( X, Y ) }.
% 0.72/1.08 { ! alpha49( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.72/1.08 { ! alpha49( X, Y ), alpha55( X, Y ) }.
% 0.72/1.08 { aReductOfIn0( Y, X, xR ), ! alpha55( X, Y ), alpha49( X, Y ) }.
% 0.72/1.08 { ! alpha55( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.72/1.08 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.72/1.08 { aElement0( skol15( Z, T ) ), alpha55( X, Y ) }.
% 0.72/1.08 { sdtmndtplgtdt0( skol15( Z, Y ), xR, Y ), alpha55( X, Y ) }.
% 0.72/1.08 { aReductOfIn0( skol15( X, Y ), X, xR ), alpha55( X, Y ) }.
% 0.72/1.08 { ! alpha34( X, Y ), ! aElement0( X ), ! aElement0( Y ) }.
% 0.72/1.08 { aElement0( X ), alpha34( X, Y ) }.
% 0.72/1.08 { aElement0( Y ), alpha34( X, Y ) }.
% 0.72/1.08 { aElement0( xa ) }.
% 0.72/1.08 { aElement0( xb ) }.
% 0.72/1.08 { aElement0( xc ) }.
% 0.72/1.08 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.72/1.08 alpha27( X, Z ), ! iLess0( X, xa ), Z = skol16( T, Z ), alpha42( Z,
% 0.72/1.08 skol16( T, Z ) ) }.
% 0.72/1.08 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.72/1.08 alpha27( X, Z ), ! iLess0( X, xa ), sdtmndtasgtdt0( Z, xR, skol16( T, Z )
% 0.72/1.08 ) }.
% 0.72/1.08 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.72/1.08 alpha27( X, Z ), ! iLess0( X, xa ), alpha35( Y, skol16( Y, Z ) ) }.
% 0.72/1.08 { ! alpha42( X, Y ), alpha50( X, Y ) }.
% 0.72/1.08 { ! alpha42( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha50( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha42( X, Y ) }.
% 0.72/1.08 { ! alpha50( X, Y ), aReductOfIn0( Y, X, xR ), alpha56( X, Y ) }.
% 0.72/1.08 { ! aReductOfIn0( Y, X, xR ), alpha50( X, Y ) }.
% 0.72/1.08 { ! alpha56( X, Y ), alpha50( X, Y ) }.
% 0.72/1.08 { ! alpha56( X, Y ), aElement0( skol17( Z, T ) ) }.
% 0.72/1.08 { ! alpha56( X, Y ), sdtmndtplgtdt0( skol17( Z, Y ), xR, Y ) }.
% 0.72/1.08 { ! alpha56( X, Y ), aReductOfIn0( skol17( X, Y ), X, xR ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.72/1.08 ), alpha56( X, Y ) }.
% 0.72/1.08 { ! alpha35( X, Y ), alpha43( X, Y ) }.
% 0.72/1.08 { ! alpha35( X, Y ), sdtmndtasgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha43( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ), alpha35( X, Y ) }.
% 0.72/1.08 { ! alpha43( X, Y ), aElement0( Y ) }.
% 0.72/1.08 { ! alpha43( X, Y ), alpha51( X, Y ) }.
% 0.72/1.08 { ! aElement0( Y ), ! alpha51( X, Y ), alpha43( X, Y ) }.
% 0.72/1.08 { ! alpha51( X, Y ), X = Y, alpha57( X, Y ) }.
% 0.72/1.08 { ! X = Y, alpha51( X, Y ) }.
% 0.72/1.08 { ! alpha57( X, Y ), alpha51( X, Y ) }.
% 0.72/1.08 { ! alpha57( X, Y ), alpha60( X, Y ) }.
% 0.72/1.08 { ! alpha57( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha60( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha57( X, Y ) }.
% 0.72/1.08 { ! alpha60( X, Y ), aReductOfIn0( Y, X, xR ), alpha61( X, Y ) }.
% 0.72/1.08 { ! aReductOfIn0( Y, X, xR ), alpha60( X, Y ) }.
% 0.72/1.08 { ! alpha61( X, Y ), alpha60( X, Y ) }.
% 0.72/1.08 { ! alpha61( X, Y ), aElement0( skol18( Z, T ) ) }.
% 0.72/1.08 { ! alpha61( X, Y ), sdtmndtplgtdt0( skol18( Z, Y ), xR, Y ) }.
% 0.72/1.08 { ! alpha61( X, Y ), aReductOfIn0( skol18( X, Y ), X, xR ) }.
% 0.72/1.08 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.72/1.08 ), alpha61( X, Y ) }.
% 0.72/1.08 { ! alpha27( X, Y ), alpha36( X, Y ) }.
% 0.72/1.08 { ! alpha27( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha36( X, Y ), sdtmndtasgtdt0( X, xR, Y ), alpha27( X, Y ) }.
% 0.72/1.08 { ! alpha36( X, Y ), alpha44( X, Y ) }.
% 0.72/1.08 { ! alpha36( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha44( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha36( X, Y ) }.
% 0.72/1.08 { ! alpha44( X, Y ), alpha52( X, Y ) }.
% 0.72/1.08 { ! alpha44( X, Y ), alpha58( X, Y ) }.
% 0.72/1.08 { ! alpha52( X, Y ), ! alpha58( X, Y ), alpha44( X, Y ) }.
% 0.72/1.08 { ! alpha58( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.72/1.08 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.72/1.08 { aElement0( skol19( Z, T ) ), alpha58( X, Y ) }.
% 0.72/1.08 { sdtmndtplgtdt0( skol19( Z, Y ), xR, Y ), alpha58( X, Y ) }.
% 0.72/1.08 { aReductOfIn0( skol19( X, Y ), X, xR ), alpha58( X, Y ) }.
% 0.72/1.08 { ! alpha52( X, Y ), ! X = Y }.
% 0.72/1.08 { ! alpha52( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.72/1.08 { X = Y, aReductOfIn0( Y, X, xR ), alpha52( X, Y ) }.
% 0.72/1.08 { ! alpha19( X, Y ), alpha28( X, Y ) }.
% 0.72/1.08 { ! alpha19( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha28( X, Y ), sdtmndtasgtdt0( X, xR, Y ), alpha19( X, Y ) }.
% 0.72/1.08 { ! alpha28( X, Y ), alpha37( X, Y ) }.
% 0.72/1.08 { ! alpha28( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.72/1.08 { ! alpha37( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha28( X, Y ) }.
% 0.72/1.08 { ! alpha37( X, Y ), alpha45( X, Y ) }.
% 0.72/1.08 { ! alpha37( X, Y ), alpha53( X, Y ) }.
% 0.72/1.08 { ! alpha45( X, Y ), ! alpha53( X, Y ), alpha37( X, Y ) }.
% 0.72/1.08 { ! alpha53( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.72/1.08 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.72/1.08 { aElement0( skol20( Z, T ) ), alpha53( X, Y ) }.
% 0.72/1.08 { sdtmndtplgtdt0( skol20( Z, Y ), xR, Y ), alpha53( X, Y ) }.
% 0.72/1.08 { aReductOfIn0( skol20( X, Y ), X, xR ), alpha53( X, Y ) }.
% 0.72/1.08 { ! alpha45( X, Y ), ! X = Y }.
% 0.72/1.08 { ! alpha45( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.72/1.08 { X = Y, aReductOfIn0( Y, X, xR ), alpha45( X, Y ) }.
% 0.72/1.08 { alpha20 }.
% 0.72/1.08 { sdtmndtplgtdt0( xa, xR, xb ) }.
% 0.72/1.08 { aReductOfIn0( xc, xa, xR ), aElement0( skol21 ) }.
% 0.72/1.08 { aReductOfIn0( xc, xa, xR ), aReductOfIn0( skol21, xa, xR ) }.
% 0.72/1.08 { aReductOfIn0( xc, xa, xR ), sdtmndtplgtdt0( skol21, xR, xc ) }.
% 0.72/1.08 { sdtmndtplgtdt0( xa, xR, xc ) }.
% 0.72/1.08 { ! alpha20, aReductOfIn0( xb, xa, xR ), alpha29 }.
% 0.72/1.08 { ! aReductOfIn0( xb, xa, xR ), alpha20 }.
% 0.72/1.08 { ! alpha29, alpha20 }.
% 0.72/1.08 { ! alpha29, aElement0( skol22 ) }.
% 0.72/1.08 { ! alpha29, aReductOfIn0( skol22, xa, xR ) }.
% 0.72/1.08 { ! alpha29, sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.72/1.08 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.72/1.08 xb ), alpha29 }.
% 0.72/1.08 { aElement0( xu ) }.
% 0.72/1.08 { aReductOfIn0( xu, xa, xR ) }.
% 0.72/1.08 { xu = xb, aReductOfIn0( xb, xu, xR ), alpha21 }.
% 0.72/1.08 { xu = xb, sdtmndtplgtdt0( xu, xR, xb ) }.
% 0.72/1.08 { sdtmndtasgtdt0( xu, xR, xb ) }.
% 0.72/1.08 { ! alpha21, aElement0( skol23 ) }.
% 0.72/1.08 { ! alpha21, aReductOfIn0( skol23, xu, xR ) }.
% 0.72/1.08 { ! alpha21, sdtmndtplgtdt0( skol23, xR, xb ) }.
% 0.72/1.08 { ! aElement0( X ), ! aReductOfIn0( X, xu, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.72/1.08 xb ), alpha21 }.
% 0.72/1.08 { aElement0( xv ) }.
% 0.72/1.08 { aReductOfIn0( xv, xa, xR ) }.
% 0.72/1.08 { xv = xc, aReductOfIn0( xc, xv, xR ), alpha22 }.
% 0.72/1.08 { xv = xc, sdtmndtplgtdt0( xv, xR, xc ) }.
% 0.72/1.08 { sdtmndtasgtdt0( xv, xR, xc ) }.
% 0.72/1.08 { ! alpha22, aElement0( skol24 ) }.
% 0.72/1.08 { ! alpha22, aReductOfIn0( skol24, xv, xR ) }.
% 0.72/1.08 { ! alpha22, sdtmndtplgtdt0( skol24, xR, xc ) }.
% 0.72/1.08 { ! aElement0( X ), ! aReductOfIn0( X, xv, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.72/1.08 xc ), alpha22 }.
% 0.72/1.08 { aElement0( xw ) }.
% 0.72/1.08 { alpha23 }.
% 0.72/1.08 { sdtmndtasgtdt0( xu, xR, xw ) }.
% 0.72/1.08 { xv = xw, aReductOfIn0( xw, xv, xR ), alpha30 }.
% 0.72/1.08 { xv = xw, sdtmndtplgtdt0( xv, xR, xw ) }.
% 0.72/1.08 { sdtmndtasgtdt0( xv, xR, xw ) }.
% 0.72/1.08 { ! alpha30, aElement0( skol25 ) }.
% 0.72/1.08 { ! alpha30, aReductOfIn0( skol25, xv, xR ) }.
% 0.72/1.08 { ! alpha30, sdtmndtplgtdt0( skol25, xR, xw ) }.
% 0.72/1.08 { ! aElement0( X ), ! aReductOfIn0( X, xv, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.72/1.08 xw ), alpha30 }.
% 0.72/1.08 { ! alpha23, xu = xw, alpha31 }.
% 0.72/1.08 { ! xu = xw, alpha23 }.
% 0.72/1.08 { ! alpha31, alpha23 }.
% 0.72/1.08 { ! alpha31, alpha38 }.
% 0.72/1.08 { ! alpha31, sdtmndtplgtdt0( xu, xR, xw ) }.
% 0.72/1.08 { ! alpha38, ! sdtmndtplgtdt0( xu, xR, xw ), alpha31 }.
% 0.72/1.08 { ! alpha38, aReductOfIn0( xw, xu, xR ), alpha46 }.
% 0.72/1.08 { ! aReductOfIn0( xw, xu, xR ), alpha38 }.
% 0.72/1.08 { ! alpha46, alpha38 }.
% 0.72/1.08 { ! alpha46, aElement0( skol26 ) }.
% 0.72/1.08 { ! alpha46, aReductOfIn0( skol26, xu, xR ) }.
% 0.72/1.08 { ! alpha46, sdtmndtplgtdt0( skol26, xR, xw ) }.
% 0.72/1.08 { ! aElement0( X ), ! aReductOfIn0( X, xu, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.72/1.08 xw ), alpha46 }.
% 0.72/1.08 { ! aElement0( X ), alpha24( X ), aReductOfIn0( skol27( X ), X, xR ) }.
% 0.72/1.08 { ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( Y, xw, xR ), !
% 0.72/1.08 sdtmndtplgtdt0( Y, xR, X ), aReductOfIn0( skol27( X ), X, xR ) }.
% 0.72/1.08 { ! aElement0( X ), ! sdtmndtplgtdt0( xw, xR, X ), aReductOfIn0( skol27( X
% 0.72/1.08 ), X, xR ) }.
% 0.72/1.08 { ! aElement0( X ), ! sdtmndtasgtdt0( xw, xR, X ), aReductOfIn0( skol27( X
% 0.72/1.08 ), X, xR ) }.
% 0.72/1.08 { ! aNormalFormOfIn0( X, xw, xR ) }.
% 0.72/1.08 { ! alpha24( X ), ! xw = X }.
% 0.72/1.08 { ! alpha24( X ), ! aReductOfIn0( X, xw, xR ) }.
% 0.72/1.08 { xw = X, aReductOfIn0( X, xw, xR ), alpha24( X ) }.
% 0.72/1.08
% 0.72/1.08 percentage equality = 0.032508, percentage horn = 0.793651
% 0.72/1.08 This is a problem with some equality
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Options Used:
% 0.72/1.08
% 0.72/1.08 useres = 1
% 0.72/1.08 useparamod = 1
% 0.72/1.08 useeqrefl = 1
% 0.72/1.08 useeqfact = 1
% 0.72/1.08 usefactor = 1
% 0.72/1.08 usesimpsplitting = 0
% 0.72/1.08 usesimpdemod = 5
% 0.72/1.08 usesimpres = 3
% 0.72/1.08
% 0.72/1.08 resimpinuse = 1000
% 0.72/1.08 resimpclauses = 20000
% 0.72/1.08 substype = eqrewr
% 0.72/1.08 backwardsubs = 1
% 0.72/1.08 selectoldest = 5
% 0.72/1.08
% 0.72/1.08 litorderings [0] = split
% 0.72/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.08
% 0.72/1.08 termordering = kbo
% 0.72/1.08
% 0.72/1.08 litapriori = 0
% 0.72/1.08 termapriori = 1
% 0.72/1.08 litaposteriori = 0
% 0.72/1.08 termaposteriori = 0
% 0.77/1.15 demodaposteriori = 0
% 0.77/1.15 ordereqreflfact = 0
% 0.77/1.15
% 0.77/1.15 litselect = negord
% 0.77/1.15
% 0.77/1.15 maxweight = 15
% 0.77/1.15 maxdepth = 30000
% 0.77/1.15 maxlength = 115
% 0.77/1.15 maxnrvars = 195
% 0.77/1.15 excuselevel = 1
% 0.77/1.15 increasemaxweight = 1
% 0.77/1.15
% 0.77/1.15 maxselected = 10000000
% 0.77/1.15 maxnrclauses = 10000000
% 0.77/1.15
% 0.77/1.15 showgenerated = 0
% 0.77/1.15 showkept = 0
% 0.77/1.15 showselected = 0
% 0.77/1.15 showdeleted = 0
% 0.77/1.15 showresimp = 1
% 0.77/1.15 showstatus = 2000
% 0.77/1.15
% 0.77/1.15 prologoutput = 0
% 0.77/1.15 nrgoals = 5000000
% 0.77/1.15 totalproof = 1
% 0.77/1.15
% 0.77/1.15 Symbols occurring in the translation:
% 0.77/1.15
% 0.77/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.15 . [1, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.77/1.15 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.77/1.15 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 0.77/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 aElement0 [36, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.77/1.15 aRewritingSystem0 [37, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.77/1.15 aReductOfIn0 [40, 3] (w:1, o:124, a:1, s:1, b:0),
% 0.77/1.15 iLess0 [41, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.77/1.15 sdtmndtplgtdt0 [42, 3] (w:1, o:125, a:1, s:1, b:0),
% 0.77/1.15 sdtmndtasgtdt0 [44, 3] (w:1, o:126, a:1, s:1, b:0),
% 0.77/1.15 isConfluent0 [45, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.77/1.15 isLocallyConfluent0 [47, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.77/1.15 isTerminating0 [48, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.15 aNormalFormOfIn0 [49, 3] (w:1, o:127, a:1, s:1, b:0),
% 0.77/1.15 xR [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.77/1.15 xa [51, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.77/1.15 xb [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.77/1.15 xc [53, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.77/1.15 xu [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.77/1.15 xv [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.77/1.15 xw [56, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.77/1.15 alpha1 [57, 3] (w:1, o:128, a:1, s:1, b:1),
% 0.77/1.15 alpha2 [58, 3] (w:1, o:130, a:1, s:1, b:1),
% 0.77/1.15 alpha3 [59, 3] (w:1, o:131, a:1, s:1, b:1),
% 0.77/1.15 alpha4 [60, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.77/1.15 alpha5 [61, 3] (w:1, o:132, a:1, s:1, b:1),
% 0.77/1.15 alpha6 [62, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.77/1.15 alpha7 [63, 3] (w:1, o:133, a:1, s:1, b:1),
% 0.77/1.15 alpha8 [64, 4] (w:1, o:141, a:1, s:1, b:1),
% 0.77/1.15 alpha9 [65, 3] (w:1, o:134, a:1, s:1, b:1),
% 0.77/1.15 alpha10 [66, 4] (w:1, o:142, a:1, s:1, b:1),
% 0.77/1.15 alpha11 [67, 3] (w:1, o:129, a:1, s:1, b:1),
% 0.77/1.15 alpha12 [68, 4] (w:1, o:143, a:1, s:1, b:1),
% 0.77/1.15 alpha13 [69, 4] (w:1, o:144, a:1, s:1, b:1),
% 0.77/1.15 alpha14 [70, 4] (w:1, o:145, a:1, s:1, b:1),
% 0.77/1.15 alpha15 [71, 4] (w:1, o:146, a:1, s:1, b:1),
% 0.77/1.15 alpha16 [72, 4] (w:1, o:147, a:1, s:1, b:1),
% 0.77/1.15 alpha17 [73, 4] (w:1, o:148, a:1, s:1, b:1),
% 0.77/1.15 alpha18 [74, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.77/1.15 alpha19 [75, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.77/1.15 alpha20 [76, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.77/1.15 alpha21 [77, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.77/1.15 alpha22 [78, 0] (w:1, o:21, a:1, s:1, b:1),
% 0.77/1.15 alpha23 [79, 0] (w:1, o:22, a:1, s:1, b:1),
% 0.77/1.15 alpha24 [80, 1] (w:1, o:46, a:1, s:1, b:1),
% 0.77/1.15 alpha25 [81, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.77/1.15 alpha26 [82, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.77/1.15 alpha27 [83, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.77/1.15 alpha28 [84, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.77/1.15 alpha29 [85, 0] (w:1, o:23, a:1, s:1, b:1),
% 0.77/1.15 alpha30 [86, 0] (w:1, o:24, a:1, s:1, b:1),
% 0.77/1.15 alpha31 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 0.77/1.15 alpha32 [88, 2] (w:1, o:79, a:1, s:1, b:1),
% 0.77/1.15 alpha33 [89, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.77/1.15 alpha34 [90, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.77/1.15 alpha35 [91, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.77/1.15 alpha36 [92, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.77/1.15 alpha37 [93, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.77/1.15 alpha38 [94, 0] (w:1, o:26, a:1, s:1, b:1),
% 0.77/1.15 alpha39 [95, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.77/1.15 alpha40 [96, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.77/1.15 alpha41 [97, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.77/1.15 alpha42 [98, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.77/1.15 alpha43 [99, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.77/1.15 alpha44 [100, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.77/1.15 alpha45 [101, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.77/1.15 alpha46 [102, 0] (w:1, o:27, a:1, s:1, b:1),
% 0.77/1.15 alpha47 [103, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.77/1.15 alpha48 [104, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.77/1.15 alpha49 [105, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.77/1.15 alpha50 [106, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.77/1.15 alpha51 [107, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.77/1.15 alpha52 [108, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.77/1.15 alpha53 [109, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.77/1.15 alpha54 [110, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.77/1.15 alpha55 [111, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.77/1.15 alpha56 [112, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.77/1.15 alpha57 [113, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.77/1.15 alpha58 [114, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.77/1.15 alpha59 [115, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.77/1.15 alpha60 [116, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.77/1.15 alpha61 [117, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.77/1.15 skol1 [118, 3] (w:1, o:135, a:1, s:1, b:1),
% 0.77/1.15 skol2 [119, 1] (w:1, o:47, a:1, s:1, b:1),
% 0.77/1.15 skol3 [120, 3] (w:1, o:136, a:1, s:1, b:1),
% 0.77/1.15 skol4 [121, 3] (w:1, o:137, a:1, s:1, b:1),
% 0.77/1.15 skol5 [122, 1] (w:1, o:48, a:1, s:1, b:1),
% 0.77/1.15 skol6 [123, 3] (w:1, o:138, a:1, s:1, b:1),
% 0.77/1.15 skol7 [124, 3] (w:1, o:139, a:1, s:1, b:1),
% 0.77/1.15 skol8 [125, 1] (w:1, o:49, a:1, s:1, b:1),
% 0.77/1.15 skol9 [126, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.77/1.15 skol10 [127, 2] (w:1, o:114, a:1, s:1, b:1),
% 0.77/1.15 skol11 [128, 2] (w:1, o:115, a:1, s:1, b:1),
% 0.77/1.15 skol12 [129, 2] (w:1, o:116, a:1, s:1, b:1),
% 0.77/1.15 skol13 [130, 2] (w:1, o:117, a:1, s:1, b:1),
% 0.77/1.15 skol14 [131, 0] (w:1, o:28, a:1, s:1, b:1),
% 0.77/1.15 skol15 [132, 2] (w:1, o:118, a:1, s:1, b:1),
% 0.77/1.15 skol16 [133, 2] (w:1, o:119, a:1, s:1, b:1),
% 0.77/1.15 skol17 [134, 2] (w:1, o:120, a:1, s:1, b:1),
% 0.77/1.15 skol18 [135, 2] (w:1, o:121, a:1, s:1, b:1),
% 0.77/1.15 skol19 [136, 2] (w:1, o:122, a:1, s:1, b:1),
% 0.77/1.15 skol20 [137, 2] (w:1, o:123, a:1, s:1, b:1),
% 0.77/1.15 skol21 [138, 0] (w:1, o:29, a:1, s:1, b:1),
% 0.77/1.15 skol22 [139, 0] (w:1, o:30, a:1, s:1, b:1),
% 0.77/1.15 skol23 [140, 0] (w:1, o:31, a:1, s:1, b:1),
% 0.77/1.15 skol24 [141, 0] (w:1, o:32, a:1, s:1, b:1),
% 0.77/1.15 skol25 [142, 0] (w:1, o:33, a:1, s:1, b:1),
% 0.77/1.15 skol26 [143, 0] (w:1, o:34, a:1, s:1, b:1),
% 0.77/1.15 skol27 [144, 1] (w:1, o:50, a:1, s:1, b:1),
% 0.77/1.15 skol28 [145, 1] (w:1, o:51, a:1, s:1, b:1),
% 0.77/1.15 skol29 [146, 1] (w:1, o:52, a:1, s:1, b:1),
% 0.77/1.15 skol30 [147, 1] (w:1, o:53, a:1, s:1, b:1),
% 0.77/1.15 skol31 [148, 0] (w:1, o:35, a:1, s:1, b:1).
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Starting Search:
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for clauses
% 0.77/1.15 *** allocated 22500 integers for clauses
% 0.77/1.15 *** allocated 33750 integers for clauses
% 0.77/1.15 *** allocated 15000 integers for termspace/termends
% 0.77/1.15 *** allocated 22500 integers for termspace/termends
% 0.77/1.15 *** allocated 50625 integers for clauses
% 0.77/1.15 Resimplifying inuse:
% 0.77/1.15 Done
% 0.77/1.15
% 0.77/1.15 *** allocated 33750 integers for termspace/termends
% 0.77/1.15 *** allocated 75937 integers for clauses
% 0.77/1.15 *** allocated 113905 integers for clauses
% 0.77/1.15 *** allocated 50625 integers for termspace/termends
% 0.77/1.15
% 0.77/1.15 Intermediate Status:
% 0.77/1.15 Generated: 3721
% 0.77/1.15 Kept: 2019
% 0.77/1.15 Inuse: 265
% 0.77/1.15 Deleted: 2
% 0.77/1.15 Deletedinuse: 1
% 0.77/1.15
% 0.77/1.15 Resimplifying inuse:
% 0.77/1.15 Done
% 0.77/1.15
% 0.77/1.15 *** allocated 170857 integers for clauses
% 0.77/1.15
% 0.77/1.15 Bliksems!, er is een bewijs:
% 0.77/1.15 % SZS status Theorem
% 0.77/1.15 % SZS output start Refutation
% 0.77/1.15
% 0.77/1.15 (73) {G0,W12,D3,L4,V2,M4} I { ! aRewritingSystem0( X ), ! isTerminating0( X
% 0.77/1.15 ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ), Y, X ) }.
% 0.77/1.15 (74) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.77/1.15 (80) {G0,W2,D2,L1,V0,M1} I { isTerminating0( xR ) }.
% 0.77/1.15 (223) {G0,W2,D2,L1,V0,M1} I { aElement0( xw ) }.
% 0.77/1.15 (248) {G0,W4,D2,L1,V1,M1} I { ! aNormalFormOfIn0( X, xw, xR ) }.
% 0.77/1.15 (2719) {G1,W4,D2,L2,V0,M2} R(73,248);r(74) { ! isTerminating0( xR ), !
% 0.77/1.15 aElement0( xw ) }.
% 0.77/1.15 (2751) {G2,W0,D0,L0,V0,M0} S(2719);r(80);r(223) { }.
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 % SZS output end Refutation
% 0.77/1.15 found a proof!
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Unprocessed initial clauses:
% 0.77/1.15
% 0.77/1.15 (2753) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.15 (2754) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.15 (2755) {G0,W10,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aReductOfIn0( Z, X, Y ), aElement0( Z ) }.
% 0.77/1.15 (2756) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.15 (2757) {G0,W1,D1,L1,V0,M1} { && }.
% 0.77/1.15 (2758) {G0,W18,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y ),
% 0.77/1.15 alpha1( X, Y, Z ) }.
% 0.77/1.15 (2759) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z )
% 0.77/1.15 }.
% 0.77/1.15 (2760) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! alpha1( X, Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.77/1.15 (2761) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), aElement0( skol1( T, U,
% 0.77/1.15 W ) ) }.
% 0.77/1.15 (2762) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha6( X, Y, Z, skol1
% 0.77/1.15 ( X, Y, Z ) ) }.
% 0.77/1.15 (2763) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha6( X, Y, Z, T ),
% 0.77/1.15 alpha1( X, Y, Z ) }.
% 0.77/1.15 (2764) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), aReductOfIn0( T, X, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2765) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), sdtmndtplgtdt0( T, Y
% 0.77/1.15 , Z ) }.
% 0.77/1.15 (2766) {G0,W13,D2,L3,V4,M3} { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0
% 0.77/1.15 ( T, Y, Z ), alpha6( X, Y, Z, T ) }.
% 0.77/1.15 (2767) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! aElement0( T ), ! sdtmndtplgtdt0( X, Y, Z ), !
% 0.77/1.15 sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X, Y, T ) }.
% 0.77/1.15 (2768) {G0,W17,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X,
% 0.77/1.15 Y, Z ) }.
% 0.77/1.15 (2769) {G0,W13,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! X = Z, sdtmndtasgtdt0( X, Y, Z ) }.
% 0.77/1.15 (2770) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z )
% 0.77/1.15 }.
% 0.77/1.15 (2771) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! aElement0( T ), ! sdtmndtasgtdt0( X, Y, Z ), !
% 0.77/1.15 sdtmndtasgtdt0( Z, Y, T ), sdtmndtasgtdt0( X, Y, T ) }.
% 0.77/1.15 (2772) {G0,W12,D2,L4,V3,M4} { ! aRewritingSystem0( X ), ! isConfluent0( X
% 0.77/1.15 ), ! alpha2( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.77/1.15 (2773) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha2( X, skol2(
% 0.77/1.15 X ), skol28( X ) ), isConfluent0( X ) }.
% 0.77/1.15 (2774) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha7( X, skol2
% 0.77/1.15 ( X ), skol28( X ) ), isConfluent0( X ) }.
% 0.77/1.15 (2775) {G0,W9,D3,L2,V6,M2} { ! alpha7( X, Y, Z ), aElement0( skol3( T, U,
% 0.77/1.15 W ) ) }.
% 0.77/1.15 (2776) {G0,W12,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha12( X, Y, Z, skol3
% 0.77/1.15 ( X, Y, Z ) ) }.
% 0.77/1.15 (2777) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha12( X, Y, Z, T ),
% 0.77/1.15 alpha7( X, Y, Z ) }.
% 0.77/1.15 (2778) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Y, X
% 0.77/1.15 , T ) }.
% 0.77/1.15 (2779) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Z, X
% 0.77/1.15 , T ) }.
% 0.77/1.15 (2780) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( Y, X, T ), !
% 0.77/1.15 sdtmndtasgtdt0( Z, X, T ), alpha12( X, Y, Z, T ) }.
% 0.77/1.15 (2781) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), aElement0( skol4( T, U,
% 0.77/1.15 W ) ) }.
% 0.77/1.15 (2782) {G0,W12,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha8( X, Y, Z, skol4
% 0.77/1.15 ( X, Y, Z ) ) }.
% 0.77/1.15 (2783) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha8( X, Y, Z, T ),
% 0.77/1.15 alpha2( X, Y, Z ) }.
% 0.77/1.15 (2784) {G0,W7,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), aElement0( Y ) }.
% 0.77/1.15 (2785) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.77/1.15 ) }.
% 0.77/1.15 (2786) {G0,W12,D2,L3,V4,M3} { ! aElement0( Y ), ! alpha13( X, Y, Z, T ),
% 0.77/1.15 alpha8( X, Y, Z, T ) }.
% 0.77/1.15 (2787) {G0,W7,D2,L2,V4,M2} { ! alpha13( X, Y, Z, T ), aElement0( Z ) }.
% 0.77/1.15 (2788) {G0,W10,D2,L2,V4,M2} { ! alpha13( X, Y, Z, T ), alpha16( X, Y, Z, T
% 0.77/1.15 ) }.
% 0.77/1.15 (2789) {G0,W12,D2,L3,V4,M3} { ! aElement0( Z ), ! alpha16( X, Y, Z, T ),
% 0.77/1.15 alpha13( X, Y, Z, T ) }.
% 0.77/1.15 (2790) {G0,W9,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X
% 0.77/1.15 , Y ) }.
% 0.77/1.15 (2791) {G0,W9,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X
% 0.77/1.15 , Z ) }.
% 0.77/1.15 (2792) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( T, X, Y ), !
% 0.77/1.15 sdtmndtasgtdt0( T, X, Z ), alpha16( X, Y, Z, T ) }.
% 0.77/1.15 (2793) {G0,W12,D2,L4,V3,M4} { ! aRewritingSystem0( X ), !
% 0.77/1.15 isLocallyConfluent0( X ), ! alpha3( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.77/1.15 (2794) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha3( X, skol5(
% 0.77/1.15 X ), skol29( X ) ), isLocallyConfluent0( X ) }.
% 0.77/1.15 (2795) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha9( X, skol5
% 0.77/1.15 ( X ), skol29( X ) ), isLocallyConfluent0( X ) }.
% 0.77/1.15 (2796) {G0,W9,D3,L2,V6,M2} { ! alpha9( X, Y, Z ), aElement0( skol6( T, U,
% 0.77/1.15 W ) ) }.
% 0.77/1.15 (2797) {G0,W12,D3,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha14( X, Y, Z, skol6
% 0.77/1.15 ( X, Y, Z ) ) }.
% 0.77/1.15 (2798) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha14( X, Y, Z, T ),
% 0.77/1.15 alpha9( X, Y, Z ) }.
% 0.77/1.15 (2799) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Y, X
% 0.77/1.15 , T ) }.
% 0.77/1.15 (2800) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Z, X
% 0.77/1.15 , T ) }.
% 0.77/1.15 (2801) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( Y, X, T ), !
% 0.77/1.15 sdtmndtasgtdt0( Z, X, T ), alpha14( X, Y, Z, T ) }.
% 0.77/1.15 (2802) {G0,W9,D3,L2,V6,M2} { ! alpha3( X, Y, Z ), aElement0( skol7( T, U,
% 0.77/1.15 W ) ) }.
% 0.77/1.15 (2803) {G0,W12,D3,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha10( X, Y, Z, skol7
% 0.77/1.15 ( X, Y, Z ) ) }.
% 0.77/1.15 (2804) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha10( X, Y, Z, T ),
% 0.77/1.15 alpha3( X, Y, Z ) }.
% 0.77/1.15 (2805) {G0,W7,D2,L2,V4,M2} { ! alpha10( X, Y, Z, T ), aElement0( Y ) }.
% 0.77/1.15 (2806) {G0,W10,D2,L2,V4,M2} { ! alpha10( X, Y, Z, T ), alpha15( X, Y, Z, T
% 0.77/1.15 ) }.
% 0.77/1.15 (2807) {G0,W12,D2,L3,V4,M3} { ! aElement0( Y ), ! alpha15( X, Y, Z, T ),
% 0.77/1.15 alpha10( X, Y, Z, T ) }.
% 0.77/1.15 (2808) {G0,W7,D2,L2,V4,M2} { ! alpha15( X, Y, Z, T ), aElement0( Z ) }.
% 0.77/1.15 (2809) {G0,W10,D2,L2,V4,M2} { ! alpha15( X, Y, Z, T ), alpha17( X, Y, Z, T
% 0.77/1.15 ) }.
% 0.77/1.15 (2810) {G0,W12,D2,L3,V4,M3} { ! aElement0( Z ), ! alpha17( X, Y, Z, T ),
% 0.77/1.15 alpha15( X, Y, Z, T ) }.
% 0.77/1.15 (2811) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), aReductOfIn0( Y, T,
% 0.77/1.15 X ) }.
% 0.77/1.15 (2812) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), aReductOfIn0( Z, T,
% 0.77/1.15 X ) }.
% 0.77/1.15 (2813) {G0,W13,D2,L3,V4,M3} { ! aReductOfIn0( Y, T, X ), ! aReductOfIn0( Z
% 0.77/1.15 , T, X ), alpha17( X, Y, Z, T ) }.
% 0.77/1.15 (2814) {G0,W11,D2,L4,V3,M4} { ! aRewritingSystem0( X ), ! isTerminating0(
% 0.77/1.15 X ), ! alpha4( Y, Z ), alpha11( X, Y, Z ) }.
% 0.77/1.15 (2815) {G0,W9,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha4( skol8( X )
% 0.77/1.15 , skol30( X ) ), isTerminating0( X ) }.
% 0.77/1.15 (2816) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha11( X,
% 0.77/1.15 skol8( X ), skol30( X ) ), isTerminating0( X ) }.
% 0.77/1.15 (2817) {G0,W11,D2,L3,V3,M3} { ! alpha11( X, Y, Z ), ! sdtmndtplgtdt0( Y, X
% 0.77/1.15 , Z ), iLess0( Z, Y ) }.
% 0.77/1.15 (2818) {G0,W8,D2,L2,V3,M2} { sdtmndtplgtdt0( Y, X, Z ), alpha11( X, Y, Z )
% 0.77/1.15 }.
% 0.77/1.15 (2819) {G0,W7,D2,L2,V3,M2} { ! iLess0( Z, Y ), alpha11( X, Y, Z ) }.
% 0.77/1.15 (2820) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), aElement0( X ) }.
% 0.77/1.15 (2821) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), aElement0( Y ) }.
% 0.77/1.15 (2822) {G0,W7,D2,L3,V2,M3} { ! aElement0( X ), ! aElement0( Y ), alpha4( X
% 0.77/1.15 , Y ) }.
% 0.77/1.15 (2823) {G0,W10,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aNormalFormOfIn0( Z, X, Y ), aElement0( Z ) }.
% 0.77/1.15 (2824) {G0,W12,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aNormalFormOfIn0( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.77/1.15 (2825) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y ),
% 0.77/1.15 ! aElement0( Z ), ! alpha5( X, Y, Z ), aNormalFormOfIn0( Z, X, Y ) }.
% 0.77/1.15 (2826) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z
% 0.77/1.15 ) }.
% 0.77/1.15 (2827) {G0,W8,D2,L2,V4,M2} { ! alpha5( X, Y, Z ), ! aReductOfIn0( T, Z, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2828) {G0,W14,D3,L3,V3,M3} { ! sdtmndtasgtdt0( X, Y, Z ), aReductOfIn0(
% 0.77/1.15 skol9( Y, Z ), Z, Y ), alpha5( X, Y, Z ) }.
% 0.77/1.15 (2829) {G0,W12,D3,L4,V2,M4} { ! aRewritingSystem0( X ), ! isTerminating0(
% 0.77/1.15 X ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ), Y, X ) }.
% 0.77/1.15 (2830) {G0,W2,D2,L1,V0,M1} { aRewritingSystem0( xR ) }.
% 0.77/1.15 (2831) {G0,W24,D3,L7,V4,M7} { ! aElement0( Z ), ! aElement0( X ), !
% 0.77/1.15 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ), Y
% 0.77/1.15 = skol11( T, Y ), alpha32( Y, skol11( T, Y ) ) }.
% 0.77/1.15 (2832) {G0,W20,D3,L6,V4,M6} { ! aElement0( Z ), ! aElement0( X ), !
% 0.77/1.15 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ),
% 0.77/1.15 sdtmndtasgtdt0( Y, xR, skol11( T, Y ) ) }.
% 0.77/1.15 (2833) {G0,W19,D3,L6,V3,M6} { ! aElement0( Z ), ! aElement0( X ), !
% 0.77/1.15 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ),
% 0.77/1.15 alpha25( X, skol11( X, Y ) ) }.
% 0.77/1.15 (2834) {G0,W2,D2,L1,V0,M1} { isLocallyConfluent0( xR ) }.
% 0.77/1.15 (2835) {G0,W1,D1,L1,V0,M1} { alpha18 }.
% 0.77/1.15 (2836) {G0,W2,D2,L1,V0,M1} { isTerminating0( xR ) }.
% 0.77/1.15 (2837) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha39( X, Y ) }.
% 0.77/1.15 (2838) {G0,W7,D2,L2,V2,M2} { ! alpha32( X, Y ), sdtmndtplgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2839) {G0,W10,D2,L3,V2,M3} { ! alpha39( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.77/1.15 Y ), alpha32( X, Y ) }.
% 0.77/1.15 (2840) {G0,W10,D2,L3,V2,M3} { ! alpha39( X, Y ), aReductOfIn0( Y, X, xR )
% 0.77/1.15 , alpha47( X, Y ) }.
% 0.77/1.15 (2841) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha39( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2842) {G0,W6,D2,L2,V2,M2} { ! alpha47( X, Y ), alpha39( X, Y ) }.
% 0.77/1.15 (2843) {G0,W7,D3,L2,V4,M2} { ! alpha47( X, Y ), aElement0( skol12( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 (2844) {G0,W9,D3,L2,V3,M2} { ! alpha47( X, Y ), sdtmndtplgtdt0( skol12( Z
% 0.77/1.15 , Y ), xR, Y ) }.
% 0.77/1.15 (2845) {G0,W9,D3,L2,V2,M2} { ! alpha47( X, Y ), aReductOfIn0( skol12( X, Y
% 0.77/1.15 ), X, xR ) }.
% 0.77/1.15 (2846) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR )
% 0.77/1.15 , ! sdtmndtplgtdt0( Z, xR, Y ), alpha47( X, Y ) }.
% 0.77/1.15 (2847) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), alpha33( X, Y ) }.
% 0.77/1.15 (2848) {G0,W7,D2,L2,V2,M2} { ! alpha25( X, Y ), sdtmndtasgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2849) {G0,W10,D2,L3,V2,M3} { ! alpha33( X, Y ), ! sdtmndtasgtdt0( X, xR,
% 0.77/1.15 Y ), alpha25( X, Y ) }.
% 0.77/1.15 (2850) {G0,W5,D2,L2,V2,M2} { ! alpha33( X, Y ), aElement0( Y ) }.
% 0.77/1.15 (2851) {G0,W6,D2,L2,V2,M2} { ! alpha33( X, Y ), alpha40( X, Y ) }.
% 0.77/1.15 (2852) {G0,W8,D2,L3,V2,M3} { ! aElement0( Y ), ! alpha40( X, Y ), alpha33
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 (2853) {G0,W9,D2,L3,V2,M3} { ! alpha40( X, Y ), X = Y, alpha48( X, Y ) }.
% 0.77/1.15 (2854) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha40( X, Y ) }.
% 0.77/1.15 (2855) {G0,W6,D2,L2,V2,M2} { ! alpha48( X, Y ), alpha40( X, Y ) }.
% 0.77/1.15 (2856) {G0,W6,D2,L2,V2,M2} { ! alpha48( X, Y ), alpha54( X, Y ) }.
% 0.77/1.15 (2857) {G0,W7,D2,L2,V2,M2} { ! alpha48( X, Y ), sdtmndtplgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2858) {G0,W10,D2,L3,V2,M3} { ! alpha54( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.77/1.15 Y ), alpha48( X, Y ) }.
% 0.77/1.15 (2859) {G0,W10,D2,L3,V2,M3} { ! alpha54( X, Y ), aReductOfIn0( Y, X, xR )
% 0.77/1.15 , alpha59( X, Y ) }.
% 0.77/1.15 (2860) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha54( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2861) {G0,W6,D2,L2,V2,M2} { ! alpha59( X, Y ), alpha54( X, Y ) }.
% 0.77/1.15 (2862) {G0,W7,D3,L2,V4,M2} { ! alpha59( X, Y ), aElement0( skol13( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 (2863) {G0,W9,D3,L2,V3,M2} { ! alpha59( X, Y ), sdtmndtplgtdt0( skol13( Z
% 0.77/1.15 , Y ), xR, Y ) }.
% 0.77/1.15 (2864) {G0,W9,D3,L2,V2,M2} { ! alpha59( X, Y ), aReductOfIn0( skol13( X, Y
% 0.77/1.15 ), X, xR ) }.
% 0.77/1.15 (2865) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR )
% 0.77/1.15 , ! sdtmndtplgtdt0( Z, xR, Y ), alpha59( X, Y ) }.
% 0.77/1.15 (2866) {G0,W7,D2,L3,V2,M3} { ! alpha18, alpha26( X, Y ), iLess0( Y, X )
% 0.77/1.15 }.
% 0.77/1.15 (2867) {G0,W4,D2,L2,V0,M2} { ! alpha26( skol14, skol31 ), alpha18 }.
% 0.77/1.15 (2868) {G0,W4,D2,L2,V0,M2} { ! iLess0( skol31, skol14 ), alpha18 }.
% 0.77/1.15 (2869) {G0,W9,D2,L3,V2,M3} { ! alpha26( X, Y ), alpha34( X, Y ), alpha41(
% 0.77/1.15 X, Y ) }.
% 0.77/1.15 (2870) {G0,W6,D2,L2,V2,M2} { ! alpha34( X, Y ), alpha26( X, Y ) }.
% 0.77/1.15 (2871) {G0,W6,D2,L2,V2,M2} { ! alpha41( X, Y ), alpha26( X, Y ) }.
% 0.77/1.15 (2872) {G0,W6,D2,L2,V2,M2} { ! alpha41( X, Y ), alpha49( X, Y ) }.
% 0.77/1.15 (2873) {G0,W7,D2,L2,V2,M2} { ! alpha41( X, Y ), ! sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2874) {G0,W10,D2,L3,V2,M3} { ! alpha49( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ), alpha41( X, Y ) }.
% 0.77/1.15 (2875) {G0,W7,D2,L2,V2,M2} { ! alpha49( X, Y ), ! aReductOfIn0( Y, X, xR )
% 0.77/1.15 }.
% 0.77/1.15 (2876) {G0,W6,D2,L2,V2,M2} { ! alpha49( X, Y ), alpha55( X, Y ) }.
% 0.77/1.15 (2877) {G0,W10,D2,L3,V2,M3} { aReductOfIn0( Y, X, xR ), ! alpha55( X, Y )
% 0.77/1.15 , alpha49( X, Y ) }.
% 0.77/1.15 (2878) {G0,W13,D2,L4,V3,M4} { ! alpha55( X, Y ), ! aElement0( Z ), !
% 0.77/1.15 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.77/1.15 (2879) {G0,W7,D3,L2,V4,M2} { aElement0( skol15( Z, T ) ), alpha55( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2880) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol15( Z, Y ), xR, Y ),
% 0.77/1.15 alpha55( X, Y ) }.
% 0.77/1.15 (2881) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol15( X, Y ), X, xR ),
% 0.77/1.15 alpha55( X, Y ) }.
% 0.77/1.15 (2882) {G0,W7,D2,L3,V2,M3} { ! alpha34( X, Y ), ! aElement0( X ), !
% 0.77/1.15 aElement0( Y ) }.
% 0.77/1.15 (2883) {G0,W5,D2,L2,V2,M2} { aElement0( X ), alpha34( X, Y ) }.
% 0.77/1.15 (2884) {G0,W5,D2,L2,V2,M2} { aElement0( Y ), alpha34( X, Y ) }.
% 0.77/1.15 (2885) {G0,W2,D2,L1,V0,M1} { aElement0( xa ) }.
% 0.77/1.15 (2886) {G0,W2,D2,L1,V0,M1} { aElement0( xb ) }.
% 0.77/1.15 (2887) {G0,W2,D2,L1,V0,M1} { aElement0( xc ) }.
% 0.77/1.15 (2888) {G0,W25,D3,L8,V4,M8} { ! aElement0( X ), ! aElement0( Y ), !
% 0.77/1.15 aElement0( Z ), alpha19( X, Y ), alpha27( X, Z ), ! iLess0( X, xa ), Z =
% 0.77/1.15 skol16( T, Z ), alpha42( Z, skol16( T, Z ) ) }.
% 0.77/1.15 (2889) {G0,W21,D3,L7,V4,M7} { ! aElement0( X ), ! aElement0( Y ), !
% 0.77/1.15 aElement0( Z ), alpha19( X, Y ), alpha27( X, Z ), ! iLess0( X, xa ),
% 0.77/1.15 sdtmndtasgtdt0( Z, xR, skol16( T, Z ) ) }.
% 0.77/1.15 (2890) {G0,W20,D3,L7,V3,M7} { ! aElement0( X ), ! aElement0( Y ), !
% 0.77/1.15 aElement0( Z ), alpha19( X, Y ), alpha27( X, Z ), ! iLess0( X, xa ),
% 0.77/1.15 alpha35( Y, skol16( Y, Z ) ) }.
% 0.77/1.15 (2891) {G0,W6,D2,L2,V2,M2} { ! alpha42( X, Y ), alpha50( X, Y ) }.
% 0.77/1.15 (2892) {G0,W7,D2,L2,V2,M2} { ! alpha42( X, Y ), sdtmndtplgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2893) {G0,W10,D2,L3,V2,M3} { ! alpha50( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.77/1.15 Y ), alpha42( X, Y ) }.
% 0.77/1.15 (2894) {G0,W10,D2,L3,V2,M3} { ! alpha50( X, Y ), aReductOfIn0( Y, X, xR )
% 0.77/1.15 , alpha56( X, Y ) }.
% 0.77/1.15 (2895) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha50( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2896) {G0,W6,D2,L2,V2,M2} { ! alpha56( X, Y ), alpha50( X, Y ) }.
% 0.77/1.15 (2897) {G0,W7,D3,L2,V4,M2} { ! alpha56( X, Y ), aElement0( skol17( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 (2898) {G0,W9,D3,L2,V3,M2} { ! alpha56( X, Y ), sdtmndtplgtdt0( skol17( Z
% 0.77/1.15 , Y ), xR, Y ) }.
% 0.77/1.15 (2899) {G0,W9,D3,L2,V2,M2} { ! alpha56( X, Y ), aReductOfIn0( skol17( X, Y
% 0.77/1.15 ), X, xR ) }.
% 0.77/1.15 (2900) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR )
% 0.77/1.15 , ! sdtmndtplgtdt0( Z, xR, Y ), alpha56( X, Y ) }.
% 0.77/1.15 (2901) {G0,W6,D2,L2,V2,M2} { ! alpha35( X, Y ), alpha43( X, Y ) }.
% 0.77/1.15 (2902) {G0,W7,D2,L2,V2,M2} { ! alpha35( X, Y ), sdtmndtasgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2903) {G0,W10,D2,L3,V2,M3} { ! alpha43( X, Y ), ! sdtmndtasgtdt0( X, xR,
% 0.77/1.15 Y ), alpha35( X, Y ) }.
% 0.77/1.15 (2904) {G0,W5,D2,L2,V2,M2} { ! alpha43( X, Y ), aElement0( Y ) }.
% 0.77/1.15 (2905) {G0,W6,D2,L2,V2,M2} { ! alpha43( X, Y ), alpha51( X, Y ) }.
% 0.77/1.15 (2906) {G0,W8,D2,L3,V2,M3} { ! aElement0( Y ), ! alpha51( X, Y ), alpha43
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 (2907) {G0,W9,D2,L3,V2,M3} { ! alpha51( X, Y ), X = Y, alpha57( X, Y ) }.
% 0.77/1.15 (2908) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha51( X, Y ) }.
% 0.77/1.15 (2909) {G0,W6,D2,L2,V2,M2} { ! alpha57( X, Y ), alpha51( X, Y ) }.
% 0.77/1.15 (2910) {G0,W6,D2,L2,V2,M2} { ! alpha57( X, Y ), alpha60( X, Y ) }.
% 0.77/1.15 (2911) {G0,W7,D2,L2,V2,M2} { ! alpha57( X, Y ), sdtmndtplgtdt0( X, xR, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2912) {G0,W10,D2,L3,V2,M3} { ! alpha60( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.77/1.15 Y ), alpha57( X, Y ) }.
% 0.77/1.15 (2913) {G0,W10,D2,L3,V2,M3} { ! alpha60( X, Y ), aReductOfIn0( Y, X, xR )
% 0.77/1.15 , alpha61( X, Y ) }.
% 0.77/1.15 (2914) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha60( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2915) {G0,W6,D2,L2,V2,M2} { ! alpha61( X, Y ), alpha60( X, Y ) }.
% 0.77/1.15 (2916) {G0,W7,D3,L2,V4,M2} { ! alpha61( X, Y ), aElement0( skol18( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 (2917) {G0,W9,D3,L2,V3,M2} { ! alpha61( X, Y ), sdtmndtplgtdt0( skol18( Z
% 0.77/1.15 , Y ), xR, Y ) }.
% 0.77/1.15 (2918) {G0,W9,D3,L2,V2,M2} { ! alpha61( X, Y ), aReductOfIn0( skol18( X, Y
% 0.77/1.15 ), X, xR ) }.
% 0.77/1.15 (2919) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR )
% 0.77/1.15 , ! sdtmndtplgtdt0( Z, xR, Y ), alpha61( X, Y ) }.
% 0.77/1.15 (2920) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha36( X, Y ) }.
% 0.77/1.15 (2921) {G0,W7,D2,L2,V2,M2} { ! alpha27( X, Y ), ! sdtmndtasgtdt0( X, xR, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2922) {G0,W10,D2,L3,V2,M3} { ! alpha36( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.77/1.15 ), alpha27( X, Y ) }.
% 0.77/1.15 (2923) {G0,W6,D2,L2,V2,M2} { ! alpha36( X, Y ), alpha44( X, Y ) }.
% 0.77/1.15 (2924) {G0,W7,D2,L2,V2,M2} { ! alpha36( X, Y ), ! sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2925) {G0,W10,D2,L3,V2,M3} { ! alpha44( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ), alpha36( X, Y ) }.
% 0.77/1.15 (2926) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), alpha52( X, Y ) }.
% 0.77/1.15 (2927) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), alpha58( X, Y ) }.
% 0.77/1.15 (2928) {G0,W9,D2,L3,V2,M3} { ! alpha52( X, Y ), ! alpha58( X, Y ), alpha44
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 (2929) {G0,W13,D2,L4,V3,M4} { ! alpha58( X, Y ), ! aElement0( Z ), !
% 0.77/1.15 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.77/1.15 (2930) {G0,W7,D3,L2,V4,M2} { aElement0( skol19( Z, T ) ), alpha58( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2931) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol19( Z, Y ), xR, Y ),
% 0.77/1.15 alpha58( X, Y ) }.
% 0.77/1.15 (2932) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol19( X, Y ), X, xR ),
% 0.77/1.15 alpha58( X, Y ) }.
% 0.77/1.15 (2933) {G0,W6,D2,L2,V2,M2} { ! alpha52( X, Y ), ! X = Y }.
% 0.77/1.15 (2934) {G0,W7,D2,L2,V2,M2} { ! alpha52( X, Y ), ! aReductOfIn0( Y, X, xR )
% 0.77/1.15 }.
% 0.77/1.15 (2935) {G0,W10,D2,L3,V2,M3} { X = Y, aReductOfIn0( Y, X, xR ), alpha52( X
% 0.77/1.15 , Y ) }.
% 0.77/1.15 (2936) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), alpha28( X, Y ) }.
% 0.77/1.15 (2937) {G0,W7,D2,L2,V2,M2} { ! alpha19( X, Y ), ! sdtmndtasgtdt0( X, xR, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2938) {G0,W10,D2,L3,V2,M3} { ! alpha28( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.77/1.15 ), alpha19( X, Y ) }.
% 0.77/1.15 (2939) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), alpha37( X, Y ) }.
% 0.77/1.15 (2940) {G0,W7,D2,L2,V2,M2} { ! alpha28( X, Y ), ! sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ) }.
% 0.77/1.15 (2941) {G0,W10,D2,L3,V2,M3} { ! alpha37( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.77/1.15 ), alpha28( X, Y ) }.
% 0.77/1.15 (2942) {G0,W6,D2,L2,V2,M2} { ! alpha37( X, Y ), alpha45( X, Y ) }.
% 0.77/1.15 (2943) {G0,W6,D2,L2,V2,M2} { ! alpha37( X, Y ), alpha53( X, Y ) }.
% 0.77/1.15 (2944) {G0,W9,D2,L3,V2,M3} { ! alpha45( X, Y ), ! alpha53( X, Y ), alpha37
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 (2945) {G0,W13,D2,L4,V3,M4} { ! alpha53( X, Y ), ! aElement0( Z ), !
% 0.77/1.15 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.77/1.15 (2946) {G0,W7,D3,L2,V4,M2} { aElement0( skol20( Z, T ) ), alpha53( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 (2947) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol20( Z, Y ), xR, Y ),
% 0.77/1.15 alpha53( X, Y ) }.
% 0.77/1.15 (2948) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol20( X, Y ), X, xR ),
% 0.77/1.15 alpha53( X, Y ) }.
% 0.77/1.15 (2949) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! X = Y }.
% 0.77/1.15 (2950) {G0,W7,D2,L2,V2,M2} { ! alpha45( X, Y ), ! aReductOfIn0( Y, X, xR )
% 0.77/1.15 }.
% 0.77/1.15 (2951) {G0,W10,D2,L3,V2,M3} { X = Y, aReductOfIn0( Y, X, xR ), alpha45( X
% 0.77/1.15 , Y ) }.
% 0.77/1.15 (2952) {G0,W1,D1,L1,V0,M1} { alpha20 }.
% 0.77/1.15 (2953) {G0,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xa, xR, xb ) }.
% 0.77/1.15 (2954) {G0,W6,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), aElement0( skol21
% 0.77/1.15 ) }.
% 0.77/1.15 (2955) {G0,W8,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), aReductOfIn0(
% 0.77/1.15 skol21, xa, xR ) }.
% 0.77/1.15 (2956) {G0,W8,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), sdtmndtplgtdt0(
% 0.77/1.15 skol21, xR, xc ) }.
% 0.77/1.15 (2957) {G0,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xa, xR, xc ) }.
% 0.77/1.15 (2958) {G0,W6,D2,L3,V0,M3} { ! alpha20, aReductOfIn0( xb, xa, xR ),
% 0.77/1.15 alpha29 }.
% 0.77/1.15 (2959) {G0,W5,D2,L2,V0,M2} { ! aReductOfIn0( xb, xa, xR ), alpha20 }.
% 0.77/1.15 (2960) {G0,W2,D1,L2,V0,M2} { ! alpha29, alpha20 }.
% 0.77/1.15 (2961) {G0,W3,D2,L2,V0,M2} { ! alpha29, aElement0( skol22 ) }.
% 0.77/1.15 (2962) {G0,W5,D2,L2,V0,M2} { ! alpha29, aReductOfIn0( skol22, xa, xR ) }.
% 0.77/1.15 (2963) {G0,W5,D2,L2,V0,M2} { ! alpha29, sdtmndtplgtdt0( skol22, xR, xb )
% 0.77/1.15 }.
% 0.77/1.15 (2964) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.77/1.15 ), ! sdtmndtplgtdt0( X, xR, xb ), alpha29 }.
% 0.77/1.15 (2965) {G0,W2,D2,L1,V0,M1} { aElement0( xu ) }.
% 0.77/1.15 (2966) {G0,W4,D2,L1,V0,M1} { aReductOfIn0( xu, xa, xR ) }.
% 0.77/1.15 (2967) {G0,W8,D2,L3,V0,M3} { xu = xb, aReductOfIn0( xb, xu, xR ), alpha21
% 0.77/1.15 }.
% 0.77/1.15 (2968) {G0,W7,D2,L2,V0,M2} { xu = xb, sdtmndtplgtdt0( xu, xR, xb ) }.
% 0.77/1.15 (2969) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xu, xR, xb ) }.
% 0.77/1.15 (2970) {G0,W3,D2,L2,V0,M2} { ! alpha21, aElement0( skol23 ) }.
% 0.77/1.15 (2971) {G0,W5,D2,L2,V0,M2} { ! alpha21, aReductOfIn0( skol23, xu, xR ) }.
% 0.77/1.15 (2972) {G0,W5,D2,L2,V0,M2} { ! alpha21, sdtmndtplgtdt0( skol23, xR, xb )
% 0.77/1.15 }.
% 0.77/1.15 (2973) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xu, xR
% 0.77/1.15 ), ! sdtmndtplgtdt0( X, xR, xb ), alpha21 }.
% 0.77/1.15 (2974) {G0,W2,D2,L1,V0,M1} { aElement0( xv ) }.
% 0.77/1.15 (2975) {G0,W4,D2,L1,V0,M1} { aReductOfIn0( xv, xa, xR ) }.
% 0.77/1.15 (2976) {G0,W8,D2,L3,V0,M3} { xv = xc, aReductOfIn0( xc, xv, xR ), alpha22
% 0.77/1.15 }.
% 0.77/1.15 (2977) {G0,W7,D2,L2,V0,M2} { xv = xc, sdtmndtplgtdt0( xv, xR, xc ) }.
% 0.77/1.15 (2978) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xv, xR, xc ) }.
% 0.77/1.15 (2979) {G0,W3,D2,L2,V0,M2} { ! alpha22, aElement0( skol24 ) }.
% 0.77/1.15 (2980) {G0,W5,D2,L2,V0,M2} { ! alpha22, aReductOfIn0( skol24, xv, xR ) }.
% 0.77/1.15 (2981) {G0,W5,D2,L2,V0,M2} { ! alpha22, sdtmndtplgtdt0( skol24, xR, xc )
% 0.77/1.15 }.
% 0.77/1.15 (2982) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xv, xR
% 0.77/1.15 ), ! sdtmndtplgtdt0( X, xR, xc ), alpha22 }.
% 0.77/1.15 (2983) {G0,W2,D2,L1,V0,M1} { aElement0( xw ) }.
% 0.77/1.15 (2984) {G0,W1,D1,L1,V0,M1} { alpha23 }.
% 0.77/1.15 (2985) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xu, xR, xw ) }.
% 0.77/1.15 (2986) {G0,W8,D2,L3,V0,M3} { xv = xw, aReductOfIn0( xw, xv, xR ), alpha30
% 0.77/1.15 }.
% 0.77/1.15 (2987) {G0,W7,D2,L2,V0,M2} { xv = xw, sdtmndtplgtdt0( xv, xR, xw ) }.
% 0.77/1.15 (2988) {G0,W4,D2,L1,V0,M1} { sdtmndtasgtdt0( xv, xR, xw ) }.
% 0.77/1.15 (2989) {G0,W3,D2,L2,V0,M2} { ! alpha30, aElement0( skol25 ) }.
% 0.77/1.15 (2990) {G0,W5,D2,L2,V0,M2} { ! alpha30, aReductOfIn0( skol25, xv, xR ) }.
% 0.77/1.15 (2991) {G0,W5,D2,L2,V0,M2} { ! alpha30, sdtmndtplgtdt0( skol25, xR, xw )
% 0.77/1.15 }.
% 0.77/1.15 (2992) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xv, xR
% 0.77/1.15 ), ! sdtmndtplgtdt0( X, xR, xw ), alpha30 }.
% 0.77/1.15 (2993) {G0,W5,D2,L3,V0,M3} { ! alpha23, xu = xw, alpha31 }.
% 0.77/1.15 (2994) {G0,W4,D2,L2,V0,M2} { ! xu = xw, alpha23 }.
% 0.77/1.15 (2995) {G0,W2,D1,L2,V0,M2} { ! alpha31, alpha23 }.
% 0.77/1.15 (2996) {G0,W2,D1,L2,V0,M2} { ! alpha31, alpha38 }.
% 0.77/1.15 (2997) {G0,W5,D2,L2,V0,M2} { ! alpha31, sdtmndtplgtdt0( xu, xR, xw ) }.
% 0.77/1.15 (2998) {G0,W6,D2,L3,V0,M3} { ! alpha38, ! sdtmndtplgtdt0( xu, xR, xw ),
% 0.77/1.15 alpha31 }.
% 0.77/1.15 (2999) {G0,W6,D2,L3,V0,M3} { ! alpha38, aReductOfIn0( xw, xu, xR ),
% 0.77/1.15 alpha46 }.
% 0.77/1.15 (3000) {G0,W5,D2,L2,V0,M2} { ! aReductOfIn0( xw, xu, xR ), alpha38 }.
% 0.77/1.15 (3001) {G0,W2,D1,L2,V0,M2} { ! alpha46, alpha38 }.
% 0.77/1.15 (3002) {G0,W3,D2,L2,V0,M2} { ! alpha46, aElement0( skol26 ) }.
% 0.77/1.15 (3003) {G0,W5,D2,L2,V0,M2} { ! alpha46, aReductOfIn0( skol26, xu, xR ) }.
% 0.77/1.15 (3004) {G0,W5,D2,L2,V0,M2} { ! alpha46, sdtmndtplgtdt0( skol26, xR, xw )
% 0.77/1.15 }.
% 0.77/1.15 (3005) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xu, xR
% 0.77/1.15 ), ! sdtmndtplgtdt0( X, xR, xw ), alpha46 }.
% 0.77/1.15 (3006) {G0,W9,D3,L3,V1,M3} { ! aElement0( X ), alpha24( X ), aReductOfIn0
% 0.77/1.15 ( skol27( X ), X, xR ) }.
% 0.77/1.15 (3007) {G0,W17,D3,L5,V2,M5} { ! aElement0( X ), ! aElement0( Y ), !
% 0.77/1.15 aReductOfIn0( Y, xw, xR ), ! sdtmndtplgtdt0( Y, xR, X ), aReductOfIn0(
% 0.77/1.15 skol27( X ), X, xR ) }.
% 0.77/1.15 (3008) {G0,W11,D3,L3,V1,M3} { ! aElement0( X ), ! sdtmndtplgtdt0( xw, xR,
% 0.77/1.15 X ), aReductOfIn0( skol27( X ), X, xR ) }.
% 0.77/1.15 (3009) {G0,W11,D3,L3,V1,M3} { ! aElement0( X ), ! sdtmndtasgtdt0( xw, xR,
% 0.77/1.15 X ), aReductOfIn0( skol27( X ), X, xR ) }.
% 0.77/1.15 (3010) {G0,W4,D2,L1,V1,M1} { ! aNormalFormOfIn0( X, xw, xR ) }.
% 0.77/1.15 (3011) {G0,W5,D2,L2,V1,M2} { ! alpha24( X ), ! xw = X }.
% 0.77/1.15 (3012) {G0,W6,D2,L2,V1,M2} { ! alpha24( X ), ! aReductOfIn0( X, xw, xR )
% 0.77/1.15 }.
% 0.77/1.15 (3013) {G0,W9,D2,L3,V1,M3} { xw = X, aReductOfIn0( X, xw, xR ), alpha24( X
% 0.77/1.15 ) }.
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Total Proof:
% 0.77/1.15
% 0.77/1.15 subsumption: (73) {G0,W12,D3,L4,V2,M4} I { ! aRewritingSystem0( X ), !
% 0.77/1.15 isTerminating0( X ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ),
% 0.77/1.15 Y, X ) }.
% 0.77/1.15 parent0: (2829) {G0,W12,D3,L4,V2,M4} { ! aRewritingSystem0( X ), !
% 0.77/1.15 isTerminating0( X ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ),
% 0.77/1.15 Y, X ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 X := X
% 0.77/1.15 Y := Y
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 1 ==> 1
% 0.77/1.15 2 ==> 2
% 0.77/1.15 3 ==> 3
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 subsumption: (74) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.77/1.15 parent0: (2830) {G0,W2,D2,L1,V0,M1} { aRewritingSystem0( xR ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 *** allocated 75937 integers for termspace/termends
% 0.77/1.15 subsumption: (80) {G0,W2,D2,L1,V0,M1} I { isTerminating0( xR ) }.
% 0.77/1.15 parent0: (2836) {G0,W2,D2,L1,V0,M1} { isTerminating0( xR ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 subsumption: (223) {G0,W2,D2,L1,V0,M1} I { aElement0( xw ) }.
% 0.77/1.15 parent0: (2983) {G0,W2,D2,L1,V0,M1} { aElement0( xw ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 subsumption: (248) {G0,W4,D2,L1,V1,M1} I { ! aNormalFormOfIn0( X, xw, xR )
% 0.77/1.15 }.
% 0.77/1.15 parent0: (3010) {G0,W4,D2,L1,V1,M1} { ! aNormalFormOfIn0( X, xw, xR ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 X := X
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 resolution: (3287) {G1,W6,D2,L3,V0,M3} { ! aRewritingSystem0( xR ), !
% 0.77/1.15 isTerminating0( xR ), ! aElement0( xw ) }.
% 0.77/1.15 parent0[0]: (248) {G0,W4,D2,L1,V1,M1} I { ! aNormalFormOfIn0( X, xw, xR )
% 0.77/1.15 }.
% 0.77/1.15 parent1[3]: (73) {G0,W12,D3,L4,V2,M4} I { ! aRewritingSystem0( X ), !
% 0.77/1.15 isTerminating0( X ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ),
% 0.77/1.15 Y, X ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 X := skol10( xR, xw )
% 0.77/1.15 end
% 0.77/1.15 substitution1:
% 0.77/1.15 X := xR
% 0.77/1.15 Y := xw
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 resolution: (3288) {G1,W4,D2,L2,V0,M2} { ! isTerminating0( xR ), !
% 0.77/1.15 aElement0( xw ) }.
% 0.77/1.15 parent0[0]: (3287) {G1,W6,D2,L3,V0,M3} { ! aRewritingSystem0( xR ), !
% 0.77/1.15 isTerminating0( xR ), ! aElement0( xw ) }.
% 0.77/1.15 parent1[0]: (74) {G0,W2,D2,L1,V0,M1} I { aRewritingSystem0( xR ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 substitution1:
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 subsumption: (2719) {G1,W4,D2,L2,V0,M2} R(73,248);r(74) { ! isTerminating0
% 0.77/1.15 ( xR ), ! aElement0( xw ) }.
% 0.77/1.15 parent0: (3288) {G1,W4,D2,L2,V0,M2} { ! isTerminating0( xR ), ! aElement0
% 0.77/1.15 ( xw ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 0 ==> 0
% 0.77/1.15 1 ==> 1
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 resolution: (3289) {G1,W2,D2,L1,V0,M1} { ! aElement0( xw ) }.
% 0.77/1.15 parent0[0]: (2719) {G1,W4,D2,L2,V0,M2} R(73,248);r(74) { ! isTerminating0(
% 0.77/1.15 xR ), ! aElement0( xw ) }.
% 0.77/1.15 parent1[0]: (80) {G0,W2,D2,L1,V0,M1} I { isTerminating0( xR ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 substitution1:
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 resolution: (3290) {G1,W0,D0,L0,V0,M0} { }.
% 0.77/1.15 parent0[0]: (3289) {G1,W2,D2,L1,V0,M1} { ! aElement0( xw ) }.
% 0.77/1.15 parent1[0]: (223) {G0,W2,D2,L1,V0,M1} I { aElement0( xw ) }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 substitution1:
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 subsumption: (2751) {G2,W0,D0,L0,V0,M0} S(2719);r(80);r(223) { }.
% 0.77/1.15 parent0: (3290) {G1,W0,D0,L0,V0,M0} { }.
% 0.77/1.15 substitution0:
% 0.77/1.15 end
% 0.77/1.15 permutation0:
% 0.77/1.15 end
% 0.77/1.15
% 0.77/1.15 Proof check complete!
% 0.77/1.15
% 0.77/1.15 Memory use:
% 0.77/1.15
% 0.77/1.15 space for terms: 46256
% 0.77/1.15 space for clauses: 123326
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 clauses generated: 4824
% 0.77/1.15 clauses kept: 2752
% 0.77/1.15 clauses selected: 353
% 0.77/1.15 clauses deleted: 9
% 0.77/1.15 clauses inuse deleted: 3
% 0.77/1.15
% 0.77/1.15 subsentry: 6270
% 0.77/1.15 literals s-matched: 4259
% 0.77/1.15 literals matched: 3436
% 0.77/1.15 full subsumption: 1064
% 0.77/1.15
% 0.77/1.15 checksum: 85464398
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Bliksem ended
%------------------------------------------------------------------------------