TSTP Solution File: COM016+4 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 00:51:08 EDT 2022
% Result : Theorem 0.76s 1.50s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 16 17:29:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.14 *** allocated 10000 integers for termspace/termends
% 0.73/1.14 *** allocated 10000 integers for clauses
% 0.73/1.14 *** allocated 10000 integers for justifications
% 0.73/1.14 Bliksem 1.12
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Automatic Strategy Selection
% 0.73/1.14
% 0.73/1.14
% 0.73/1.14 Clauses:
% 0.73/1.14
% 0.73/1.14 { && }.
% 0.73/1.14 { && }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aReductOfIn0( Z, X, Y ),
% 0.73/1.14 aElement0( Z ) }.
% 0.73/1.14 { && }.
% 0.73/1.14 { && }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.73/1.14 sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y ), alpha1( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.73/1.14 aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! alpha1( X
% 0.73/1.14 , Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! alpha1( X, Y, Z ), aElement0( skol1( T, U, W ) ) }.
% 0.73/1.14 { ! alpha1( X, Y, Z ), alpha6( X, Y, Z, skol1( X, Y, Z ) ) }.
% 0.73/1.14 { ! aElement0( T ), ! alpha6( X, Y, Z, T ), alpha1( X, Y, Z ) }.
% 0.73/1.14 { ! alpha6( X, Y, Z, T ), aReductOfIn0( T, X, Y ) }.
% 0.73/1.14 { ! alpha6( X, Y, Z, T ), sdtmndtplgtdt0( T, Y, Z ) }.
% 0.73/1.14 { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0( T, Y, Z ), alpha6( X, Y, Z,
% 0.73/1.14 T ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0
% 0.73/1.14 ( T ), ! sdtmndtplgtdt0( X, Y, Z ), ! sdtmndtplgtdt0( Z, Y, T ),
% 0.73/1.14 sdtmndtplgtdt0( X, Y, T ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.73/1.14 sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! X = Z,
% 0.73/1.14 sdtmndtasgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), !
% 0.73/1.14 sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! aElement0
% 0.73/1.14 ( T ), ! sdtmndtasgtdt0( X, Y, Z ), ! sdtmndtasgtdt0( Z, Y, T ),
% 0.73/1.14 sdtmndtasgtdt0( X, Y, T ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! isConfluent0( X ), ! alpha2( X, Y, Z ),
% 0.73/1.14 alpha7( X, Y, Z ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), alpha2( X, skol2( X ), skol23( X ) ),
% 0.73/1.14 isConfluent0( X ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! alpha7( X, skol2( X ), skol23( X ) ),
% 0.73/1.14 isConfluent0( X ) }.
% 0.73/1.14 { ! alpha7( X, Y, Z ), aElement0( skol3( T, U, W ) ) }.
% 0.73/1.14 { ! alpha7( X, Y, Z ), alpha12( X, Y, Z, skol3( X, Y, Z ) ) }.
% 0.73/1.14 { ! aElement0( T ), ! alpha12( X, Y, Z, T ), alpha7( X, Y, Z ) }.
% 0.73/1.14 { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Y, X, T ) }.
% 0.73/1.14 { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Z, X, T ) }.
% 0.73/1.14 { ! sdtmndtasgtdt0( Y, X, T ), ! sdtmndtasgtdt0( Z, X, T ), alpha12( X, Y,
% 0.73/1.14 Z, T ) }.
% 0.73/1.14 { ! alpha2( X, Y, Z ), aElement0( skol4( T, U, W ) ) }.
% 0.73/1.14 { ! alpha2( X, Y, Z ), alpha8( X, Y, Z, skol4( X, Y, Z ) ) }.
% 0.73/1.14 { ! aElement0( T ), ! alpha8( X, Y, Z, T ), alpha2( X, Y, Z ) }.
% 0.73/1.14 { ! alpha8( X, Y, Z, T ), aElement0( Y ) }.
% 0.73/1.14 { ! alpha8( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.73/1.14 { ! aElement0( Y ), ! alpha13( X, Y, Z, T ), alpha8( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha13( X, Y, Z, T ), aElement0( Z ) }.
% 0.73/1.14 { ! alpha13( X, Y, Z, T ), alpha16( X, Y, Z, T ) }.
% 0.73/1.14 { ! aElement0( Z ), ! alpha16( X, Y, Z, T ), alpha13( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X, Y ) }.
% 0.73/1.14 { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T, X, Z ) }.
% 0.73/1.14 { ! sdtmndtasgtdt0( T, X, Y ), ! sdtmndtasgtdt0( T, X, Z ), alpha16( X, Y,
% 0.73/1.14 Z, T ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! isLocallyConfluent0( X ), ! alpha3( X, Y, Z )
% 0.73/1.14 , alpha9( X, Y, Z ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), alpha3( X, skol5( X ), skol24( X ) ),
% 0.73/1.14 isLocallyConfluent0( X ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! alpha9( X, skol5( X ), skol24( X ) ),
% 0.73/1.14 isLocallyConfluent0( X ) }.
% 0.73/1.14 { ! alpha9( X, Y, Z ), aElement0( skol6( T, U, W ) ) }.
% 0.73/1.14 { ! alpha9( X, Y, Z ), alpha14( X, Y, Z, skol6( X, Y, Z ) ) }.
% 0.73/1.14 { ! aElement0( T ), ! alpha14( X, Y, Z, T ), alpha9( X, Y, Z ) }.
% 0.73/1.14 { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Y, X, T ) }.
% 0.73/1.14 { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Z, X, T ) }.
% 0.73/1.14 { ! sdtmndtasgtdt0( Y, X, T ), ! sdtmndtasgtdt0( Z, X, T ), alpha14( X, Y,
% 0.73/1.14 Z, T ) }.
% 0.73/1.14 { ! alpha3( X, Y, Z ), aElement0( skol7( T, U, W ) ) }.
% 0.73/1.14 { ! alpha3( X, Y, Z ), alpha10( X, Y, Z, skol7( X, Y, Z ) ) }.
% 0.73/1.14 { ! aElement0( T ), ! alpha10( X, Y, Z, T ), alpha3( X, Y, Z ) }.
% 0.73/1.14 { ! alpha10( X, Y, Z, T ), aElement0( Y ) }.
% 0.73/1.14 { ! alpha10( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.73/1.14 { ! aElement0( Y ), ! alpha15( X, Y, Z, T ), alpha10( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha15( X, Y, Z, T ), aElement0( Z ) }.
% 0.73/1.14 { ! alpha15( X, Y, Z, T ), alpha17( X, Y, Z, T ) }.
% 0.73/1.14 { ! aElement0( Z ), ! alpha17( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z, T ), aReductOfIn0( Y, T, X ) }.
% 0.73/1.14 { ! alpha17( X, Y, Z, T ), aReductOfIn0( Z, T, X ) }.
% 0.73/1.14 { ! aReductOfIn0( Y, T, X ), ! aReductOfIn0( Z, T, X ), alpha17( X, Y, Z, T
% 0.73/1.14 ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! isTerminating0( X ), ! alpha4( Y, Z ),
% 0.73/1.14 alpha11( X, Y, Z ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), alpha4( skol8( X ), skol25( X ) ),
% 0.73/1.14 isTerminating0( X ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! alpha11( X, skol8( X ), skol25( X ) ),
% 0.73/1.14 isTerminating0( X ) }.
% 0.73/1.14 { ! alpha11( X, Y, Z ), ! sdtmndtplgtdt0( Y, X, Z ), iLess0( Z, Y ) }.
% 0.73/1.14 { sdtmndtplgtdt0( Y, X, Z ), alpha11( X, Y, Z ) }.
% 0.73/1.14 { ! iLess0( Z, Y ), alpha11( X, Y, Z ) }.
% 0.73/1.14 { ! alpha4( X, Y ), aElement0( X ) }.
% 0.73/1.14 { ! alpha4( X, Y ), aElement0( Y ) }.
% 0.73/1.14 { ! aElement0( X ), ! aElement0( Y ), alpha4( X, Y ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aNormalFormOfIn0( Z, X, Y )
% 0.73/1.14 , aElement0( Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aNormalFormOfIn0( Z, X, Y )
% 0.73/1.14 , alpha5( X, Y, Z ) }.
% 0.73/1.14 { ! aElement0( X ), ! aRewritingSystem0( Y ), ! aElement0( Z ), ! alpha5( X
% 0.73/1.14 , Y, Z ), aNormalFormOfIn0( Z, X, Y ) }.
% 0.73/1.14 { ! alpha5( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z ) }.
% 0.73/1.14 { ! alpha5( X, Y, Z ), ! aReductOfIn0( T, Z, Y ) }.
% 0.73/1.14 { ! sdtmndtasgtdt0( X, Y, Z ), aReductOfIn0( skol9( Y, Z ), Z, Y ), alpha5
% 0.73/1.14 ( X, Y, Z ) }.
% 0.73/1.14 { ! aRewritingSystem0( X ), ! isTerminating0( X ), ! aElement0( Y ),
% 0.73/1.14 aNormalFormOfIn0( skol10( X, Y ), Y, X ) }.
% 0.73/1.14 { aRewritingSystem0( xR ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.73/1.14 Z, xR ), ! aReductOfIn0( Y, Z, xR ), Y = skol11( T, Y ), alpha27( Y,
% 0.73/1.14 skol11( T, Y ) ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.73/1.14 Z, xR ), ! aReductOfIn0( Y, Z, xR ), sdtmndtasgtdt0( Y, xR, skol11( T, Y
% 0.73/1.14 ) ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aElement0( X ), ! aElement0( Y ), ! aReductOfIn0( X,
% 0.73/1.14 Z, xR ), ! aReductOfIn0( Y, Z, xR ), alpha22( X, skol11( X, Y ) ) }.
% 0.73/1.14 { isLocallyConfluent0( xR ) }.
% 0.73/1.14 { alpha18 }.
% 0.73/1.14 { isTerminating0( xR ) }.
% 0.73/1.14 { ! alpha27( X, Y ), alpha33( X, Y ) }.
% 0.73/1.14 { ! alpha27( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha33( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha27( X, Y ) }.
% 0.73/1.14 { ! alpha33( X, Y ), aReductOfIn0( Y, X, xR ), alpha40( X, Y ) }.
% 0.73/1.14 { ! aReductOfIn0( Y, X, xR ), alpha33( X, Y ) }.
% 0.73/1.14 { ! alpha40( X, Y ), alpha33( X, Y ) }.
% 0.73/1.14 { ! alpha40( X, Y ), aElement0( skol12( Z, T ) ) }.
% 0.73/1.14 { ! alpha40( X, Y ), sdtmndtplgtdt0( skol12( Z, Y ), xR, Y ) }.
% 0.73/1.14 { ! alpha40( X, Y ), aReductOfIn0( skol12( X, Y ), X, xR ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.73/1.14 ), alpha40( X, Y ) }.
% 0.73/1.14 { ! alpha22( X, Y ), alpha28( X, Y ) }.
% 0.73/1.14 { ! alpha22( X, Y ), sdtmndtasgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha28( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ), alpha22( X, Y ) }.
% 0.73/1.14 { ! alpha28( X, Y ), aElement0( Y ) }.
% 0.73/1.14 { ! alpha28( X, Y ), alpha34( X, Y ) }.
% 0.73/1.14 { ! aElement0( Y ), ! alpha34( X, Y ), alpha28( X, Y ) }.
% 0.73/1.14 { ! alpha34( X, Y ), X = Y, alpha41( X, Y ) }.
% 0.73/1.14 { ! X = Y, alpha34( X, Y ) }.
% 0.73/1.14 { ! alpha41( X, Y ), alpha34( X, Y ) }.
% 0.73/1.14 { ! alpha41( X, Y ), alpha47( X, Y ) }.
% 0.73/1.14 { ! alpha41( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha47( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha41( X, Y ) }.
% 0.73/1.14 { ! alpha47( X, Y ), aReductOfIn0( Y, X, xR ), alpha52( X, Y ) }.
% 0.73/1.14 { ! aReductOfIn0( Y, X, xR ), alpha47( X, Y ) }.
% 0.73/1.14 { ! alpha52( X, Y ), alpha47( X, Y ) }.
% 0.73/1.14 { ! alpha52( X, Y ), aElement0( skol13( Z, T ) ) }.
% 0.73/1.14 { ! alpha52( X, Y ), sdtmndtplgtdt0( skol13( Z, Y ), xR, Y ) }.
% 0.73/1.14 { ! alpha52( X, Y ), aReductOfIn0( skol13( X, Y ), X, xR ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.73/1.14 ), alpha52( X, Y ) }.
% 0.73/1.14 { ! alpha18, alpha23( X, Y ), iLess0( Y, X ) }.
% 0.73/1.14 { ! alpha23( skol14, skol26 ), alpha18 }.
% 0.73/1.14 { ! iLess0( skol26, skol14 ), alpha18 }.
% 0.73/1.14 { ! alpha23( X, Y ), alpha29( X, Y ), alpha35( X, Y ) }.
% 0.73/1.14 { ! alpha29( X, Y ), alpha23( X, Y ) }.
% 0.73/1.14 { ! alpha35( X, Y ), alpha23( X, Y ) }.
% 0.73/1.14 { ! alpha35( X, Y ), alpha42( X, Y ) }.
% 0.73/1.14 { ! alpha35( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha42( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha35( X, Y ) }.
% 0.73/1.14 { ! alpha42( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.73/1.14 { ! alpha42( X, Y ), alpha48( X, Y ) }.
% 0.73/1.14 { aReductOfIn0( Y, X, xR ), ! alpha48( X, Y ), alpha42( X, Y ) }.
% 0.73/1.14 { ! alpha48( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.73/1.14 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.73/1.14 { aElement0( skol15( Z, T ) ), alpha48( X, Y ) }.
% 0.73/1.14 { sdtmndtplgtdt0( skol15( Z, Y ), xR, Y ), alpha48( X, Y ) }.
% 0.73/1.14 { aReductOfIn0( skol15( X, Y ), X, xR ), alpha48( X, Y ) }.
% 0.73/1.14 { ! alpha29( X, Y ), ! aElement0( X ), ! aElement0( Y ) }.
% 0.73/1.14 { aElement0( X ), alpha29( X, Y ) }.
% 0.73/1.14 { aElement0( Y ), alpha29( X, Y ) }.
% 0.73/1.14 { aElement0( xa ) }.
% 0.73/1.14 { aElement0( xb ) }.
% 0.73/1.14 { aElement0( xc ) }.
% 0.73/1.14 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.73/1.14 alpha24( X, Z ), ! iLess0( X, xa ), Z = skol16( T, Z ), alpha36( Z,
% 0.73/1.14 skol16( T, Z ) ) }.
% 0.73/1.14 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.73/1.14 alpha24( X, Z ), ! iLess0( X, xa ), sdtmndtasgtdt0( Z, xR, skol16( T, Z )
% 0.73/1.14 ) }.
% 0.73/1.14 { ! aElement0( X ), ! aElement0( Y ), ! aElement0( Z ), alpha19( X, Y ),
% 0.73/1.14 alpha24( X, Z ), ! iLess0( X, xa ), alpha30( Y, skol16( Y, Z ) ) }.
% 0.73/1.14 { ! alpha36( X, Y ), alpha43( X, Y ) }.
% 0.73/1.14 { ! alpha36( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha43( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha36( X, Y ) }.
% 0.73/1.14 { ! alpha43( X, Y ), aReductOfIn0( Y, X, xR ), alpha49( X, Y ) }.
% 0.73/1.14 { ! aReductOfIn0( Y, X, xR ), alpha43( X, Y ) }.
% 0.73/1.14 { ! alpha49( X, Y ), alpha43( X, Y ) }.
% 0.73/1.14 { ! alpha49( X, Y ), aElement0( skol17( Z, T ) ) }.
% 0.73/1.14 { ! alpha49( X, Y ), sdtmndtplgtdt0( skol17( Z, Y ), xR, Y ) }.
% 0.73/1.14 { ! alpha49( X, Y ), aReductOfIn0( skol17( X, Y ), X, xR ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.73/1.14 ), alpha49( X, Y ) }.
% 0.73/1.14 { ! alpha30( X, Y ), alpha37( X, Y ) }.
% 0.73/1.14 { ! alpha30( X, Y ), sdtmndtasgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha37( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ), alpha30( X, Y ) }.
% 0.73/1.14 { ! alpha37( X, Y ), aElement0( Y ) }.
% 0.73/1.14 { ! alpha37( X, Y ), alpha44( X, Y ) }.
% 0.73/1.14 { ! aElement0( Y ), ! alpha44( X, Y ), alpha37( X, Y ) }.
% 0.73/1.14 { ! alpha44( X, Y ), X = Y, alpha50( X, Y ) }.
% 0.73/1.14 { ! X = Y, alpha44( X, Y ) }.
% 0.73/1.14 { ! alpha50( X, Y ), alpha44( X, Y ) }.
% 0.73/1.14 { ! alpha50( X, Y ), alpha53( X, Y ) }.
% 0.73/1.14 { ! alpha50( X, Y ), sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha53( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ), alpha50( X, Y ) }.
% 0.73/1.14 { ! alpha53( X, Y ), aReductOfIn0( Y, X, xR ), alpha54( X, Y ) }.
% 0.73/1.14 { ! aReductOfIn0( Y, X, xR ), alpha53( X, Y ) }.
% 0.73/1.14 { ! alpha54( X, Y ), alpha53( X, Y ) }.
% 0.73/1.14 { ! alpha54( X, Y ), aElement0( skol18( Z, T ) ) }.
% 0.73/1.14 { ! alpha54( X, Y ), sdtmndtplgtdt0( skol18( Z, Y ), xR, Y ) }.
% 0.73/1.14 { ! alpha54( X, Y ), aReductOfIn0( skol18( X, Y ), X, xR ) }.
% 0.73/1.14 { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y
% 0.73/1.14 ), alpha54( X, Y ) }.
% 0.73/1.14 { ! alpha24( X, Y ), alpha31( X, Y ) }.
% 0.73/1.14 { ! alpha24( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha31( X, Y ), sdtmndtasgtdt0( X, xR, Y ), alpha24( X, Y ) }.
% 0.73/1.14 { ! alpha31( X, Y ), alpha38( X, Y ) }.
% 0.73/1.14 { ! alpha31( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha38( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha31( X, Y ) }.
% 0.73/1.14 { ! alpha38( X, Y ), alpha45( X, Y ) }.
% 0.73/1.14 { ! alpha38( X, Y ), alpha51( X, Y ) }.
% 0.73/1.14 { ! alpha45( X, Y ), ! alpha51( X, Y ), alpha38( X, Y ) }.
% 0.73/1.14 { ! alpha51( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.73/1.14 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.73/1.14 { aElement0( skol19( Z, T ) ), alpha51( X, Y ) }.
% 0.73/1.14 { sdtmndtplgtdt0( skol19( Z, Y ), xR, Y ), alpha51( X, Y ) }.
% 0.73/1.14 { aReductOfIn0( skol19( X, Y ), X, xR ), alpha51( X, Y ) }.
% 0.73/1.14 { ! alpha45( X, Y ), ! X = Y }.
% 0.73/1.14 { ! alpha45( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.73/1.14 { X = Y, aReductOfIn0( Y, X, xR ), alpha45( X, Y ) }.
% 0.73/1.14 { ! alpha19( X, Y ), alpha25( X, Y ) }.
% 0.73/1.14 { ! alpha19( X, Y ), ! sdtmndtasgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha25( X, Y ), sdtmndtasgtdt0( X, xR, Y ), alpha19( X, Y ) }.
% 0.73/1.14 { ! alpha25( X, Y ), alpha32( X, Y ) }.
% 0.73/1.14 { ! alpha25( X, Y ), ! sdtmndtplgtdt0( X, xR, Y ) }.
% 0.73/1.14 { ! alpha32( X, Y ), sdtmndtplgtdt0( X, xR, Y ), alpha25( X, Y ) }.
% 0.73/1.14 { ! alpha32( X, Y ), alpha39( X, Y ) }.
% 0.73/1.16 { ! alpha32( X, Y ), alpha46( X, Y ) }.
% 0.73/1.16 { ! alpha39( X, Y ), ! alpha46( X, Y ), alpha32( X, Y ) }.
% 0.73/1.16 { ! alpha46( X, Y ), ! aElement0( Z ), ! aReductOfIn0( Z, X, xR ), !
% 0.73/1.16 sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.73/1.16 { aElement0( skol20( Z, T ) ), alpha46( X, Y ) }.
% 0.73/1.16 { sdtmndtplgtdt0( skol20( Z, Y ), xR, Y ), alpha46( X, Y ) }.
% 0.73/1.16 { aReductOfIn0( skol20( X, Y ), X, xR ), alpha46( X, Y ) }.
% 0.73/1.16 { ! alpha39( X, Y ), ! X = Y }.
% 0.73/1.16 { ! alpha39( X, Y ), ! aReductOfIn0( Y, X, xR ) }.
% 0.73/1.16 { X = Y, aReductOfIn0( Y, X, xR ), alpha39( X, Y ) }.
% 0.73/1.16 { alpha20 }.
% 0.73/1.16 { sdtmndtplgtdt0( xa, xR, xb ) }.
% 0.73/1.16 { aReductOfIn0( xc, xa, xR ), aElement0( skol21 ) }.
% 0.73/1.16 { aReductOfIn0( xc, xa, xR ), aReductOfIn0( skol21, xa, xR ) }.
% 0.73/1.16 { aReductOfIn0( xc, xa, xR ), sdtmndtplgtdt0( skol21, xR, xc ) }.
% 0.73/1.16 { sdtmndtplgtdt0( xa, xR, xc ) }.
% 0.73/1.16 { ! alpha20, aReductOfIn0( xb, xa, xR ), alpha26 }.
% 0.73/1.16 { ! aReductOfIn0( xb, xa, xR ), alpha20 }.
% 0.73/1.16 { ! alpha26, alpha20 }.
% 0.73/1.16 { ! alpha26, aElement0( skol22 ) }.
% 0.73/1.16 { ! alpha26, aReductOfIn0( skol22, xa, xR ) }.
% 0.73/1.16 { ! alpha26, sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.73/1.16 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.73/1.16 xb ), alpha26 }.
% 0.73/1.16 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), alpha21( X ) }.
% 0.73/1.16 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), ! aElement0( Y ), !
% 0.73/1.16 aReductOfIn0( Y, X, xR ), ! sdtmndtplgtdt0( Y, xR, xb ) }.
% 0.73/1.16 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), ! sdtmndtplgtdt0( X, xR,
% 0.73/1.16 xb ) }.
% 0.73/1.16 { ! aElement0( X ), ! aReductOfIn0( X, xa, xR ), ! sdtmndtasgtdt0( X, xR,
% 0.73/1.16 xb ) }.
% 0.73/1.16 { ! alpha21( X ), ! X = xb }.
% 0.73/1.16 { ! alpha21( X ), ! aReductOfIn0( xb, X, xR ) }.
% 0.73/1.16 { X = xb, aReductOfIn0( xb, X, xR ), alpha21( X ) }.
% 0.73/1.16
% 0.73/1.16 percentage equality = 0.024867, percentage horn = 0.797170
% 0.73/1.16 This is a problem with some equality
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Options Used:
% 0.73/1.16
% 0.73/1.16 useres = 1
% 0.73/1.16 useparamod = 1
% 0.73/1.16 useeqrefl = 1
% 0.73/1.16 useeqfact = 1
% 0.73/1.16 usefactor = 1
% 0.73/1.16 usesimpsplitting = 0
% 0.73/1.16 usesimpdemod = 5
% 0.73/1.16 usesimpres = 3
% 0.73/1.16
% 0.73/1.16 resimpinuse = 1000
% 0.73/1.16 resimpclauses = 20000
% 0.73/1.16 substype = eqrewr
% 0.73/1.16 backwardsubs = 1
% 0.73/1.16 selectoldest = 5
% 0.73/1.16
% 0.73/1.16 litorderings [0] = split
% 0.73/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.16
% 0.73/1.16 termordering = kbo
% 0.73/1.16
% 0.73/1.16 litapriori = 0
% 0.73/1.16 termapriori = 1
% 0.73/1.16 litaposteriori = 0
% 0.73/1.16 termaposteriori = 0
% 0.73/1.16 demodaposteriori = 0
% 0.73/1.16 ordereqreflfact = 0
% 0.73/1.16
% 0.73/1.16 litselect = negord
% 0.73/1.16
% 0.73/1.16 maxweight = 15
% 0.73/1.16 maxdepth = 30000
% 0.73/1.16 maxlength = 115
% 0.73/1.16 maxnrvars = 195
% 0.73/1.16 excuselevel = 1
% 0.73/1.16 increasemaxweight = 1
% 0.73/1.16
% 0.73/1.16 maxselected = 10000000
% 0.73/1.16 maxnrclauses = 10000000
% 0.73/1.16
% 0.73/1.16 showgenerated = 0
% 0.73/1.16 showkept = 0
% 0.73/1.16 showselected = 0
% 0.73/1.16 showdeleted = 0
% 0.73/1.16 showresimp = 1
% 0.73/1.16 showstatus = 2000
% 0.73/1.16
% 0.73/1.16 prologoutput = 0
% 0.73/1.16 nrgoals = 5000000
% 0.73/1.16 totalproof = 1
% 0.73/1.16
% 0.73/1.16 Symbols occurring in the translation:
% 0.73/1.16
% 0.73/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.16 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 0.73/1.16 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.73/1.16 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.73/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.16 aElement0 [36, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.16 aRewritingSystem0 [37, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.16 aReductOfIn0 [40, 3] (w:1, o:109, a:1, s:1, b:0),
% 0.73/1.16 iLess0 [41, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.73/1.16 sdtmndtplgtdt0 [42, 3] (w:1, o:110, a:1, s:1, b:0),
% 0.73/1.16 sdtmndtasgtdt0 [44, 3] (w:1, o:111, a:1, s:1, b:0),
% 0.73/1.16 isConfluent0 [45, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.16 isLocallyConfluent0 [47, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.16 isTerminating0 [48, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.16 aNormalFormOfIn0 [49, 3] (w:1, o:112, a:1, s:1, b:0),
% 0.73/1.16 xR [50, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.16 xa [51, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.16 xb [52, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.16 xc [53, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.16 alpha1 [54, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.73/1.16 alpha2 [55, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.73/1.16 alpha3 [56, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.73/1.16 alpha4 [57, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.73/1.16 alpha5 [58, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.73/1.16 alpha6 [59, 4] (w:1, o:125, a:1, s:1, b:1),
% 0.76/1.50 alpha7 [60, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.76/1.50 alpha8 [61, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.76/1.50 alpha9 [62, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.76/1.50 alpha10 [63, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.76/1.50 alpha11 [64, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.76/1.50 alpha12 [65, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.76/1.50 alpha13 [66, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.76/1.50 alpha14 [67, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.76/1.50 alpha15 [68, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.76/1.50 alpha16 [69, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.76/1.50 alpha17 [70, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.76/1.50 alpha18 [71, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.76/1.50 alpha19 [72, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.76/1.50 alpha20 [73, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.76/1.50 alpha21 [74, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.76/1.50 alpha22 [75, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.76/1.50 alpha23 [76, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.76/1.50 alpha24 [77, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.76/1.50 alpha25 [78, 2] (w:1, o:79, a:1, s:1, b:1),
% 0.76/1.50 alpha26 [79, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.76/1.50 alpha27 [80, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.76/1.50 alpha28 [81, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.76/1.50 alpha29 [82, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.76/1.50 alpha30 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 0.76/1.50 alpha31 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 0.76/1.50 alpha32 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.76/1.50 alpha33 [86, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.76/1.50 alpha34 [87, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.76/1.50 alpha35 [88, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.76/1.50 alpha36 [89, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.76/1.50 alpha37 [90, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.76/1.50 alpha38 [91, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.76/1.50 alpha39 [92, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.76/1.50 alpha40 [93, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.76/1.50 alpha41 [94, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.76/1.50 alpha42 [95, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.76/1.50 alpha43 [96, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.76/1.50 alpha44 [97, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.76/1.50 alpha45 [98, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.76/1.50 alpha46 [99, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.76/1.50 alpha47 [100, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.76/1.50 alpha48 [101, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.76/1.50 alpha49 [102, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.76/1.50 alpha50 [103, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.76/1.50 alpha51 [104, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.76/1.50 alpha52 [105, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.76/1.50 alpha53 [106, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.76/1.50 alpha54 [107, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.76/1.50 skol1 [108, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.76/1.50 skol2 [109, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.76/1.50 skol3 [110, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.76/1.50 skol4 [111, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.76/1.50 skol5 [112, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.76/1.50 skol6 [113, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.76/1.50 skol7 [114, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.76/1.50 skol8 [115, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.76/1.50 skol9 [116, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.76/1.50 skol10 [117, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.76/1.50 skol11 [118, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.76/1.50 skol12 [119, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.76/1.50 skol13 [120, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.76/1.50 skol14 [121, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.76/1.50 skol15 [122, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.76/1.50 skol16 [123, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.76/1.50 skol17 [124, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.76/1.50 skol18 [125, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.76/1.50 skol19 [126, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.76/1.50 skol20 [127, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.76/1.50 skol21 [128, 0] (w:1, o:19, a:1, s:1, b:1),
% 0.76/1.50 skol22 [129, 0] (w:1, o:20, a:1, s:1, b:1),
% 0.76/1.50 skol23 [130, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.76/1.50 skol24 [131, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.76/1.50 skol25 [132, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.76/1.50 skol26 [133, 0] (w:1, o:21, a:1, s:1, b:1).
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Starting Search:
% 0.76/1.50
% 0.76/1.50 *** allocated 15000 integers for clauses
% 0.76/1.50 *** allocated 22500 integers for clauses
% 0.76/1.50 *** allocated 15000 integers for termspace/termends
% 0.76/1.50 *** allocated 33750 integers for clauses
% 0.76/1.50 *** allocated 22500 integers for termspace/termends
% 0.76/1.50 *** allocated 50625 integers for clauses
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 33750 integers for termspace/termends
% 0.76/1.50 *** allocated 75937 integers for clauses
% 0.76/1.50 *** allocated 113905 integers for clauses
% 0.76/1.50 *** allocated 50625 integers for termspace/termends
% 0.76/1.50
% 0.76/1.50 Intermediate Status:
% 0.76/1.50 Generated: 3984
% 0.76/1.50 Kept: 2004
% 0.76/1.50 Inuse: 306
% 0.76/1.50 Deleted: 1
% 0.76/1.50 Deletedinuse: 1
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 170857 integers for clauses
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 75937 integers for termspace/termends
% 0.76/1.50
% 0.76/1.50 Intermediate Status:
% 0.76/1.50 Generated: 8194
% 0.76/1.50 Kept: 4020
% 0.76/1.50 Inuse: 446
% 0.76/1.50 Deleted: 30
% 0.76/1.50 Deletedinuse: 28
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 256285 integers for clauses
% 0.76/1.50 *** allocated 113905 integers for termspace/termends
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Intermediate Status:
% 0.76/1.50 Generated: 13339
% 0.76/1.50 Kept: 6096
% 0.76/1.50 Inuse: 559
% 0.76/1.50 Deleted: 31
% 0.76/1.50 Deletedinuse: 29
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 384427 integers for clauses
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 170857 integers for termspace/termends
% 0.76/1.50
% 0.76/1.50 Intermediate Status:
% 0.76/1.50 Generated: 17953
% 0.76/1.50 Kept: 8122
% 0.76/1.50 Inuse: 670
% 0.76/1.50 Deleted: 31
% 0.76/1.50 Deletedinuse: 29
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 *** allocated 576640 integers for clauses
% 0.76/1.50
% 0.76/1.50 Intermediate Status:
% 0.76/1.50 Generated: 22857
% 0.76/1.50 Kept: 10138
% 0.76/1.50 Inuse: 739
% 0.76/1.50 Deleted: 33
% 0.76/1.50 Deletedinuse: 29
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50 Resimplifying inuse:
% 0.76/1.50 Done
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Bliksems!, er is een bewijs:
% 0.76/1.50 % SZS status Theorem
% 0.76/1.50 % SZS output start Refutation
% 0.76/1.50
% 0.76/1.50 (128) {G0,W2,D2,L1,V0,M1} I { aElement0( xb ) }.
% 0.76/1.50 (194) {G0,W1,D1,L1,V0,M1} I { alpha20 }.
% 0.76/1.50 (200) {G1,W5,D2,L2,V0,M2} I;r(194) { aReductOfIn0( xb, xa, xR ), alpha26
% 0.76/1.50 }.
% 0.76/1.50 (201) {G0,W3,D2,L2,V0,M2} I { ! alpha26, aElement0( skol22 ) }.
% 0.76/1.50 (202) {G0,W5,D2,L2,V0,M2} I { ! alpha26, aReductOfIn0( skol22, xa, xR ) }.
% 0.76/1.50 (203) {G0,W5,D2,L2,V0,M2} I { ! alpha26, sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 (205) {G0,W8,D2,L3,V1,M3} I { ! aElement0( X ), ! aReductOfIn0( X, xa, xR )
% 0.76/1.50 , alpha21( X ) }.
% 0.76/1.50 (207) {G0,W10,D2,L3,V1,M3} I { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( X, xR, xb ) }.
% 0.76/1.50 (209) {G0,W5,D2,L2,V1,M2} I { ! alpha21( X ), ! X = xb }.
% 0.76/1.50 (247) {G1,W2,D2,L1,V0,M1} Q(209) { ! alpha21( xb ) }.
% 0.76/1.50 (10048) {G2,W3,D2,L2,V0,M2} R(205,200);r(128) { alpha21( xb ), alpha26 }.
% 0.76/1.50 (10085) {G3,W1,D1,L1,V0,M1} S(10048);r(247) { alpha26 }.
% 0.76/1.50 (10133) {G4,W4,D2,L1,V0,M1} R(10085,202) { aReductOfIn0( skol22, xa, xR )
% 0.76/1.50 }.
% 0.76/1.50 (10134) {G4,W4,D2,L1,V0,M1} R(10085,203) { sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 (10137) {G4,W2,D2,L1,V0,M1} R(10085,201) { aElement0( skol22 ) }.
% 0.76/1.50 (10407) {G5,W4,D2,L1,V0,M1} R(207,10137);r(10133) { ! sdtmndtplgtdt0(
% 0.76/1.50 skol22, xR, xb ) }.
% 0.76/1.50 (11186) {G6,W0,D0,L0,V0,M0} S(10407);r(10134) { }.
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 % SZS output end Refutation
% 0.76/1.50 found a proof!
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Unprocessed initial clauses:
% 0.76/1.50
% 0.76/1.50 (11188) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.50 (11189) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.50 (11190) {G0,W10,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aReductOfIn0( Z, X, Y ), aElement0( Z ) }.
% 0.76/1.50 (11191) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.50 (11192) {G0,W1,D1,L1,V0,M1} { && }.
% 0.76/1.50 (11193) {G0,W18,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), aReductOfIn0( Z, X, Y )
% 0.76/1.50 , alpha1( X, Y, Z ) }.
% 0.76/1.50 (11194) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! aReductOfIn0( Z, X, Y ), sdtmndtplgtdt0( X, Y, Z )
% 0.76/1.50 }.
% 0.76/1.50 (11195) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! alpha1( X, Y, Z ), sdtmndtplgtdt0( X, Y, Z ) }.
% 0.76/1.50 (11196) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), aElement0( skol1( T, U
% 0.76/1.50 , W ) ) }.
% 0.76/1.50 (11197) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), alpha6( X, Y, Z, skol1
% 0.76/1.50 ( X, Y, Z ) ) }.
% 0.76/1.50 (11198) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha6( X, Y, Z, T ),
% 0.76/1.50 alpha1( X, Y, Z ) }.
% 0.76/1.50 (11199) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), aReductOfIn0( T, X,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11200) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), sdtmndtplgtdt0( T, Y
% 0.76/1.50 , Z ) }.
% 0.76/1.50 (11201) {G0,W13,D2,L3,V4,M3} { ! aReductOfIn0( T, X, Y ), ! sdtmndtplgtdt0
% 0.76/1.50 ( T, Y, Z ), alpha6( X, Y, Z, T ) }.
% 0.76/1.50 (11202) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! aElement0( T ), ! sdtmndtplgtdt0( X, Y, Z ), !
% 0.76/1.50 sdtmndtplgtdt0( Z, Y, T ), sdtmndtplgtdt0( X, Y, T ) }.
% 0.76/1.50 (11203) {G0,W17,D2,L6,V3,M6} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! sdtmndtasgtdt0( X, Y, Z ), X = Z, sdtmndtplgtdt0( X
% 0.76/1.50 , Y, Z ) }.
% 0.76/1.50 (11204) {G0,W13,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! X = Z, sdtmndtasgtdt0( X, Y, Z ) }.
% 0.76/1.50 (11205) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! sdtmndtplgtdt0( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z
% 0.76/1.50 ) }.
% 0.76/1.50 (11206) {G0,W20,D2,L7,V4,M7} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! aElement0( T ), ! sdtmndtasgtdt0( X, Y, Z ), !
% 0.76/1.50 sdtmndtasgtdt0( Z, Y, T ), sdtmndtasgtdt0( X, Y, T ) }.
% 0.76/1.50 (11207) {G0,W12,D2,L4,V3,M4} { ! aRewritingSystem0( X ), ! isConfluent0( X
% 0.76/1.50 ), ! alpha2( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.76/1.50 (11208) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha2( X, skol2
% 0.76/1.50 ( X ), skol23( X ) ), isConfluent0( X ) }.
% 0.76/1.50 (11209) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha7( X,
% 0.76/1.50 skol2( X ), skol23( X ) ), isConfluent0( X ) }.
% 0.76/1.50 (11210) {G0,W9,D3,L2,V6,M2} { ! alpha7( X, Y, Z ), aElement0( skol3( T, U
% 0.76/1.50 , W ) ) }.
% 0.76/1.50 (11211) {G0,W12,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha12( X, Y, Z,
% 0.76/1.50 skol3( X, Y, Z ) ) }.
% 0.76/1.50 (11212) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha12( X, Y, Z, T ),
% 0.76/1.50 alpha7( X, Y, Z ) }.
% 0.76/1.50 (11213) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Y,
% 0.76/1.50 X, T ) }.
% 0.76/1.50 (11214) {G0,W9,D2,L2,V4,M2} { ! alpha12( X, Y, Z, T ), sdtmndtasgtdt0( Z,
% 0.76/1.50 X, T ) }.
% 0.76/1.50 (11215) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( Y, X, T ), !
% 0.76/1.50 sdtmndtasgtdt0( Z, X, T ), alpha12( X, Y, Z, T ) }.
% 0.76/1.50 (11216) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), aElement0( skol4( T, U
% 0.76/1.50 , W ) ) }.
% 0.76/1.50 (11217) {G0,W12,D3,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha8( X, Y, Z, skol4
% 0.76/1.50 ( X, Y, Z ) ) }.
% 0.76/1.50 (11218) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha8( X, Y, Z, T ),
% 0.76/1.50 alpha2( X, Y, Z ) }.
% 0.76/1.50 (11219) {G0,W7,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), aElement0( Y ) }.
% 0.76/1.50 (11220) {G0,W10,D2,L2,V4,M2} { ! alpha8( X, Y, Z, T ), alpha13( X, Y, Z, T
% 0.76/1.50 ) }.
% 0.76/1.50 (11221) {G0,W12,D2,L3,V4,M3} { ! aElement0( Y ), ! alpha13( X, Y, Z, T ),
% 0.76/1.50 alpha8( X, Y, Z, T ) }.
% 0.76/1.50 (11222) {G0,W7,D2,L2,V4,M2} { ! alpha13( X, Y, Z, T ), aElement0( Z ) }.
% 0.76/1.50 (11223) {G0,W10,D2,L2,V4,M2} { ! alpha13( X, Y, Z, T ), alpha16( X, Y, Z,
% 0.76/1.50 T ) }.
% 0.76/1.50 (11224) {G0,W12,D2,L3,V4,M3} { ! aElement0( Z ), ! alpha16( X, Y, Z, T ),
% 0.76/1.50 alpha13( X, Y, Z, T ) }.
% 0.76/1.50 (11225) {G0,W9,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T,
% 0.76/1.50 X, Y ) }.
% 0.76/1.50 (11226) {G0,W9,D2,L2,V4,M2} { ! alpha16( X, Y, Z, T ), sdtmndtasgtdt0( T,
% 0.76/1.50 X, Z ) }.
% 0.76/1.50 (11227) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( T, X, Y ), !
% 0.76/1.50 sdtmndtasgtdt0( T, X, Z ), alpha16( X, Y, Z, T ) }.
% 0.76/1.50 (11228) {G0,W12,D2,L4,V3,M4} { ! aRewritingSystem0( X ), !
% 0.76/1.50 isLocallyConfluent0( X ), ! alpha3( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.76/1.50 (11229) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha3( X, skol5
% 0.76/1.50 ( X ), skol24( X ) ), isLocallyConfluent0( X ) }.
% 0.76/1.50 (11230) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha9( X,
% 0.76/1.50 skol5( X ), skol24( X ) ), isLocallyConfluent0( X ) }.
% 0.76/1.50 (11231) {G0,W9,D3,L2,V6,M2} { ! alpha9( X, Y, Z ), aElement0( skol6( T, U
% 0.76/1.50 , W ) ) }.
% 0.76/1.50 (11232) {G0,W12,D3,L2,V3,M2} { ! alpha9( X, Y, Z ), alpha14( X, Y, Z,
% 0.76/1.50 skol6( X, Y, Z ) ) }.
% 0.76/1.50 (11233) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha14( X, Y, Z, T ),
% 0.76/1.50 alpha9( X, Y, Z ) }.
% 0.76/1.50 (11234) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Y,
% 0.76/1.50 X, T ) }.
% 0.76/1.50 (11235) {G0,W9,D2,L2,V4,M2} { ! alpha14( X, Y, Z, T ), sdtmndtasgtdt0( Z,
% 0.76/1.50 X, T ) }.
% 0.76/1.50 (11236) {G0,W13,D2,L3,V4,M3} { ! sdtmndtasgtdt0( Y, X, T ), !
% 0.76/1.50 sdtmndtasgtdt0( Z, X, T ), alpha14( X, Y, Z, T ) }.
% 0.76/1.50 (11237) {G0,W9,D3,L2,V6,M2} { ! alpha3( X, Y, Z ), aElement0( skol7( T, U
% 0.76/1.50 , W ) ) }.
% 0.76/1.50 (11238) {G0,W12,D3,L2,V3,M2} { ! alpha3( X, Y, Z ), alpha10( X, Y, Z,
% 0.76/1.50 skol7( X, Y, Z ) ) }.
% 0.76/1.50 (11239) {G0,W11,D2,L3,V4,M3} { ! aElement0( T ), ! alpha10( X, Y, Z, T ),
% 0.76/1.50 alpha3( X, Y, Z ) }.
% 0.76/1.50 (11240) {G0,W7,D2,L2,V4,M2} { ! alpha10( X, Y, Z, T ), aElement0( Y ) }.
% 0.76/1.50 (11241) {G0,W10,D2,L2,V4,M2} { ! alpha10( X, Y, Z, T ), alpha15( X, Y, Z,
% 0.76/1.50 T ) }.
% 0.76/1.50 (11242) {G0,W12,D2,L3,V4,M3} { ! aElement0( Y ), ! alpha15( X, Y, Z, T ),
% 0.76/1.50 alpha10( X, Y, Z, T ) }.
% 0.76/1.50 (11243) {G0,W7,D2,L2,V4,M2} { ! alpha15( X, Y, Z, T ), aElement0( Z ) }.
% 0.76/1.50 (11244) {G0,W10,D2,L2,V4,M2} { ! alpha15( X, Y, Z, T ), alpha17( X, Y, Z,
% 0.76/1.50 T ) }.
% 0.76/1.50 (11245) {G0,W12,D2,L3,V4,M3} { ! aElement0( Z ), ! alpha17( X, Y, Z, T ),
% 0.76/1.50 alpha15( X, Y, Z, T ) }.
% 0.76/1.50 (11246) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), aReductOfIn0( Y, T
% 0.76/1.50 , X ) }.
% 0.76/1.50 (11247) {G0,W9,D2,L2,V4,M2} { ! alpha17( X, Y, Z, T ), aReductOfIn0( Z, T
% 0.76/1.50 , X ) }.
% 0.76/1.50 (11248) {G0,W13,D2,L3,V4,M3} { ! aReductOfIn0( Y, T, X ), ! aReductOfIn0(
% 0.76/1.50 Z, T, X ), alpha17( X, Y, Z, T ) }.
% 0.76/1.50 (11249) {G0,W11,D2,L4,V3,M4} { ! aRewritingSystem0( X ), ! isTerminating0
% 0.76/1.50 ( X ), ! alpha4( Y, Z ), alpha11( X, Y, Z ) }.
% 0.76/1.50 (11250) {G0,W9,D3,L3,V1,M3} { ! aRewritingSystem0( X ), alpha4( skol8( X )
% 0.76/1.50 , skol25( X ) ), isTerminating0( X ) }.
% 0.76/1.50 (11251) {G0,W10,D3,L3,V1,M3} { ! aRewritingSystem0( X ), ! alpha11( X,
% 0.76/1.50 skol8( X ), skol25( X ) ), isTerminating0( X ) }.
% 0.76/1.50 (11252) {G0,W11,D2,L3,V3,M3} { ! alpha11( X, Y, Z ), ! sdtmndtplgtdt0( Y,
% 0.76/1.50 X, Z ), iLess0( Z, Y ) }.
% 0.76/1.50 (11253) {G0,W8,D2,L2,V3,M2} { sdtmndtplgtdt0( Y, X, Z ), alpha11( X, Y, Z
% 0.76/1.50 ) }.
% 0.76/1.50 (11254) {G0,W7,D2,L2,V3,M2} { ! iLess0( Z, Y ), alpha11( X, Y, Z ) }.
% 0.76/1.50 (11255) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), aElement0( X ) }.
% 0.76/1.50 (11256) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), aElement0( Y ) }.
% 0.76/1.50 (11257) {G0,W7,D2,L3,V2,M3} { ! aElement0( X ), ! aElement0( Y ), alpha4(
% 0.76/1.50 X, Y ) }.
% 0.76/1.50 (11258) {G0,W10,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aNormalFormOfIn0( Z, X, Y ), aElement0( Z ) }.
% 0.76/1.50 (11259) {G0,W12,D2,L4,V3,M4} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aNormalFormOfIn0( Z, X, Y ), alpha5( X, Y, Z ) }.
% 0.76/1.50 (11260) {G0,W14,D2,L5,V3,M5} { ! aElement0( X ), ! aRewritingSystem0( Y )
% 0.76/1.50 , ! aElement0( Z ), ! alpha5( X, Y, Z ), aNormalFormOfIn0( Z, X, Y ) }.
% 0.76/1.50 (11261) {G0,W8,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), sdtmndtasgtdt0( X, Y, Z
% 0.76/1.50 ) }.
% 0.76/1.50 (11262) {G0,W8,D2,L2,V4,M2} { ! alpha5( X, Y, Z ), ! aReductOfIn0( T, Z, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11263) {G0,W14,D3,L3,V3,M3} { ! sdtmndtasgtdt0( X, Y, Z ), aReductOfIn0(
% 0.76/1.50 skol9( Y, Z ), Z, Y ), alpha5( X, Y, Z ) }.
% 0.76/1.50 (11264) {G0,W12,D3,L4,V2,M4} { ! aRewritingSystem0( X ), ! isTerminating0
% 0.76/1.50 ( X ), ! aElement0( Y ), aNormalFormOfIn0( skol10( X, Y ), Y, X ) }.
% 0.76/1.50 (11265) {G0,W2,D2,L1,V0,M1} { aRewritingSystem0( xR ) }.
% 0.76/1.50 (11266) {G0,W24,D3,L7,V4,M7} { ! aElement0( Z ), ! aElement0( X ), !
% 0.76/1.50 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ), Y
% 0.76/1.50 = skol11( T, Y ), alpha27( Y, skol11( T, Y ) ) }.
% 0.76/1.50 (11267) {G0,W20,D3,L6,V4,M6} { ! aElement0( Z ), ! aElement0( X ), !
% 0.76/1.50 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ),
% 0.76/1.50 sdtmndtasgtdt0( Y, xR, skol11( T, Y ) ) }.
% 0.76/1.50 (11268) {G0,W19,D3,L6,V3,M6} { ! aElement0( Z ), ! aElement0( X ), !
% 0.76/1.50 aElement0( Y ), ! aReductOfIn0( X, Z, xR ), ! aReductOfIn0( Y, Z, xR ),
% 0.76/1.50 alpha22( X, skol11( X, Y ) ) }.
% 0.76/1.50 (11269) {G0,W2,D2,L1,V0,M1} { isLocallyConfluent0( xR ) }.
% 0.76/1.50 (11270) {G0,W1,D1,L1,V0,M1} { alpha18 }.
% 0.76/1.50 (11271) {G0,W2,D2,L1,V0,M1} { isTerminating0( xR ) }.
% 0.76/1.50 (11272) {G0,W6,D2,L2,V2,M2} { ! alpha27( X, Y ), alpha33( X, Y ) }.
% 0.76/1.50 (11273) {G0,W7,D2,L2,V2,M2} { ! alpha27( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11274) {G0,W10,D2,L3,V2,M3} { ! alpha33( X, Y ), ! sdtmndtplgtdt0( X, xR
% 0.76/1.50 , Y ), alpha27( X, Y ) }.
% 0.76/1.50 (11275) {G0,W10,D2,L3,V2,M3} { ! alpha33( X, Y ), aReductOfIn0( Y, X, xR )
% 0.76/1.50 , alpha40( X, Y ) }.
% 0.76/1.50 (11276) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha33( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11277) {G0,W6,D2,L2,V2,M2} { ! alpha40( X, Y ), alpha33( X, Y ) }.
% 0.76/1.50 (11278) {G0,W7,D3,L2,V4,M2} { ! alpha40( X, Y ), aElement0( skol12( Z, T )
% 0.76/1.50 ) }.
% 0.76/1.50 (11279) {G0,W9,D3,L2,V3,M2} { ! alpha40( X, Y ), sdtmndtplgtdt0( skol12( Z
% 0.76/1.50 , Y ), xR, Y ) }.
% 0.76/1.50 (11280) {G0,W9,D3,L2,V2,M2} { ! alpha40( X, Y ), aReductOfIn0( skol12( X,
% 0.76/1.50 Y ), X, xR ) }.
% 0.76/1.50 (11281) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( Z, xR, Y ), alpha40( X, Y ) }.
% 0.76/1.50 (11282) {G0,W6,D2,L2,V2,M2} { ! alpha22( X, Y ), alpha28( X, Y ) }.
% 0.76/1.50 (11283) {G0,W7,D2,L2,V2,M2} { ! alpha22( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11284) {G0,W10,D2,L3,V2,M3} { ! alpha28( X, Y ), ! sdtmndtasgtdt0( X, xR
% 0.76/1.50 , Y ), alpha22( X, Y ) }.
% 0.76/1.50 (11285) {G0,W5,D2,L2,V2,M2} { ! alpha28( X, Y ), aElement0( Y ) }.
% 0.76/1.50 (11286) {G0,W6,D2,L2,V2,M2} { ! alpha28( X, Y ), alpha34( X, Y ) }.
% 0.76/1.50 (11287) {G0,W8,D2,L3,V2,M3} { ! aElement0( Y ), ! alpha34( X, Y ), alpha28
% 0.76/1.50 ( X, Y ) }.
% 0.76/1.50 (11288) {G0,W9,D2,L3,V2,M3} { ! alpha34( X, Y ), X = Y, alpha41( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11289) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha34( X, Y ) }.
% 0.76/1.50 (11290) {G0,W6,D2,L2,V2,M2} { ! alpha41( X, Y ), alpha34( X, Y ) }.
% 0.76/1.50 (11291) {G0,W6,D2,L2,V2,M2} { ! alpha41( X, Y ), alpha47( X, Y ) }.
% 0.76/1.50 (11292) {G0,W7,D2,L2,V2,M2} { ! alpha41( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11293) {G0,W10,D2,L3,V2,M3} { ! alpha47( X, Y ), ! sdtmndtplgtdt0( X, xR
% 0.76/1.50 , Y ), alpha41( X, Y ) }.
% 0.76/1.50 (11294) {G0,W10,D2,L3,V2,M3} { ! alpha47( X, Y ), aReductOfIn0( Y, X, xR )
% 0.76/1.50 , alpha52( X, Y ) }.
% 0.76/1.50 (11295) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha47( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11296) {G0,W6,D2,L2,V2,M2} { ! alpha52( X, Y ), alpha47( X, Y ) }.
% 0.76/1.50 (11297) {G0,W7,D3,L2,V4,M2} { ! alpha52( X, Y ), aElement0( skol13( Z, T )
% 0.76/1.50 ) }.
% 0.76/1.50 (11298) {G0,W9,D3,L2,V3,M2} { ! alpha52( X, Y ), sdtmndtplgtdt0( skol13( Z
% 0.76/1.50 , Y ), xR, Y ) }.
% 0.76/1.50 (11299) {G0,W9,D3,L2,V2,M2} { ! alpha52( X, Y ), aReductOfIn0( skol13( X,
% 0.76/1.50 Y ), X, xR ) }.
% 0.76/1.50 (11300) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( Z, xR, Y ), alpha52( X, Y ) }.
% 0.76/1.50 (11301) {G0,W7,D2,L3,V2,M3} { ! alpha18, alpha23( X, Y ), iLess0( Y, X )
% 0.76/1.50 }.
% 0.76/1.50 (11302) {G0,W4,D2,L2,V0,M2} { ! alpha23( skol14, skol26 ), alpha18 }.
% 0.76/1.50 (11303) {G0,W4,D2,L2,V0,M2} { ! iLess0( skol26, skol14 ), alpha18 }.
% 0.76/1.50 (11304) {G0,W9,D2,L3,V2,M3} { ! alpha23( X, Y ), alpha29( X, Y ), alpha35
% 0.76/1.50 ( X, Y ) }.
% 0.76/1.50 (11305) {G0,W6,D2,L2,V2,M2} { ! alpha29( X, Y ), alpha23( X, Y ) }.
% 0.76/1.50 (11306) {G0,W6,D2,L2,V2,M2} { ! alpha35( X, Y ), alpha23( X, Y ) }.
% 0.76/1.50 (11307) {G0,W6,D2,L2,V2,M2} { ! alpha35( X, Y ), alpha42( X, Y ) }.
% 0.76/1.50 (11308) {G0,W7,D2,L2,V2,M2} { ! alpha35( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11309) {G0,W10,D2,L3,V2,M3} { ! alpha42( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ), alpha35( X, Y ) }.
% 0.76/1.50 (11310) {G0,W7,D2,L2,V2,M2} { ! alpha42( X, Y ), ! aReductOfIn0( Y, X, xR
% 0.76/1.50 ) }.
% 0.76/1.50 (11311) {G0,W6,D2,L2,V2,M2} { ! alpha42( X, Y ), alpha48( X, Y ) }.
% 0.76/1.50 (11312) {G0,W10,D2,L3,V2,M3} { aReductOfIn0( Y, X, xR ), ! alpha48( X, Y )
% 0.76/1.50 , alpha42( X, Y ) }.
% 0.76/1.50 (11313) {G0,W13,D2,L4,V3,M4} { ! alpha48( X, Y ), ! aElement0( Z ), !
% 0.76/1.50 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.76/1.50 (11314) {G0,W7,D3,L2,V4,M2} { aElement0( skol15( Z, T ) ), alpha48( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11315) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol15( Z, Y ), xR, Y ),
% 0.76/1.50 alpha48( X, Y ) }.
% 0.76/1.50 (11316) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol15( X, Y ), X, xR ),
% 0.76/1.50 alpha48( X, Y ) }.
% 0.76/1.50 (11317) {G0,W7,D2,L3,V2,M3} { ! alpha29( X, Y ), ! aElement0( X ), !
% 0.76/1.50 aElement0( Y ) }.
% 0.76/1.50 (11318) {G0,W5,D2,L2,V2,M2} { aElement0( X ), alpha29( X, Y ) }.
% 0.76/1.50 (11319) {G0,W5,D2,L2,V2,M2} { aElement0( Y ), alpha29( X, Y ) }.
% 0.76/1.50 (11320) {G0,W2,D2,L1,V0,M1} { aElement0( xa ) }.
% 0.76/1.50 (11321) {G0,W2,D2,L1,V0,M1} { aElement0( xb ) }.
% 0.76/1.50 (11322) {G0,W2,D2,L1,V0,M1} { aElement0( xc ) }.
% 0.76/1.50 (11323) {G0,W25,D3,L8,V4,M8} { ! aElement0( X ), ! aElement0( Y ), !
% 0.76/1.50 aElement0( Z ), alpha19( X, Y ), alpha24( X, Z ), ! iLess0( X, xa ), Z =
% 0.76/1.50 skol16( T, Z ), alpha36( Z, skol16( T, Z ) ) }.
% 0.76/1.50 (11324) {G0,W21,D3,L7,V4,M7} { ! aElement0( X ), ! aElement0( Y ), !
% 0.76/1.50 aElement0( Z ), alpha19( X, Y ), alpha24( X, Z ), ! iLess0( X, xa ),
% 0.76/1.50 sdtmndtasgtdt0( Z, xR, skol16( T, Z ) ) }.
% 0.76/1.50 (11325) {G0,W20,D3,L7,V3,M7} { ! aElement0( X ), ! aElement0( Y ), !
% 0.76/1.50 aElement0( Z ), alpha19( X, Y ), alpha24( X, Z ), ! iLess0( X, xa ),
% 0.76/1.50 alpha30( Y, skol16( Y, Z ) ) }.
% 0.76/1.50 (11326) {G0,W6,D2,L2,V2,M2} { ! alpha36( X, Y ), alpha43( X, Y ) }.
% 0.76/1.50 (11327) {G0,W7,D2,L2,V2,M2} { ! alpha36( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11328) {G0,W10,D2,L3,V2,M3} { ! alpha43( X, Y ), ! sdtmndtplgtdt0( X, xR
% 0.76/1.50 , Y ), alpha36( X, Y ) }.
% 0.76/1.50 (11329) {G0,W10,D2,L3,V2,M3} { ! alpha43( X, Y ), aReductOfIn0( Y, X, xR )
% 0.76/1.50 , alpha49( X, Y ) }.
% 0.76/1.50 (11330) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha43( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11331) {G0,W6,D2,L2,V2,M2} { ! alpha49( X, Y ), alpha43( X, Y ) }.
% 0.76/1.50 (11332) {G0,W7,D3,L2,V4,M2} { ! alpha49( X, Y ), aElement0( skol17( Z, T )
% 0.76/1.50 ) }.
% 0.76/1.50 (11333) {G0,W9,D3,L2,V3,M2} { ! alpha49( X, Y ), sdtmndtplgtdt0( skol17( Z
% 0.76/1.50 , Y ), xR, Y ) }.
% 0.76/1.50 (11334) {G0,W9,D3,L2,V2,M2} { ! alpha49( X, Y ), aReductOfIn0( skol17( X,
% 0.76/1.50 Y ), X, xR ) }.
% 0.76/1.50 (11335) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( Z, xR, Y ), alpha49( X, Y ) }.
% 0.76/1.50 (11336) {G0,W6,D2,L2,V2,M2} { ! alpha30( X, Y ), alpha37( X, Y ) }.
% 0.76/1.50 (11337) {G0,W7,D2,L2,V2,M2} { ! alpha30( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11338) {G0,W10,D2,L3,V2,M3} { ! alpha37( X, Y ), ! sdtmndtasgtdt0( X, xR
% 0.76/1.50 , Y ), alpha30( X, Y ) }.
% 0.76/1.50 (11339) {G0,W5,D2,L2,V2,M2} { ! alpha37( X, Y ), aElement0( Y ) }.
% 0.76/1.50 (11340) {G0,W6,D2,L2,V2,M2} { ! alpha37( X, Y ), alpha44( X, Y ) }.
% 0.76/1.50 (11341) {G0,W8,D2,L3,V2,M3} { ! aElement0( Y ), ! alpha44( X, Y ), alpha37
% 0.76/1.50 ( X, Y ) }.
% 0.76/1.50 (11342) {G0,W9,D2,L3,V2,M3} { ! alpha44( X, Y ), X = Y, alpha50( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11343) {G0,W6,D2,L2,V2,M2} { ! X = Y, alpha44( X, Y ) }.
% 0.76/1.50 (11344) {G0,W6,D2,L2,V2,M2} { ! alpha50( X, Y ), alpha44( X, Y ) }.
% 0.76/1.50 (11345) {G0,W6,D2,L2,V2,M2} { ! alpha50( X, Y ), alpha53( X, Y ) }.
% 0.76/1.50 (11346) {G0,W7,D2,L2,V2,M2} { ! alpha50( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ) }.
% 0.76/1.50 (11347) {G0,W10,D2,L3,V2,M3} { ! alpha53( X, Y ), ! sdtmndtplgtdt0( X, xR
% 0.76/1.50 , Y ), alpha50( X, Y ) }.
% 0.76/1.50 (11348) {G0,W10,D2,L3,V2,M3} { ! alpha53( X, Y ), aReductOfIn0( Y, X, xR )
% 0.76/1.50 , alpha54( X, Y ) }.
% 0.76/1.50 (11349) {G0,W7,D2,L2,V2,M2} { ! aReductOfIn0( Y, X, xR ), alpha53( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11350) {G0,W6,D2,L2,V2,M2} { ! alpha54( X, Y ), alpha53( X, Y ) }.
% 0.76/1.50 (11351) {G0,W7,D3,L2,V4,M2} { ! alpha54( X, Y ), aElement0( skol18( Z, T )
% 0.76/1.50 ) }.
% 0.76/1.50 (11352) {G0,W9,D3,L2,V3,M2} { ! alpha54( X, Y ), sdtmndtplgtdt0( skol18( Z
% 0.76/1.50 , Y ), xR, Y ) }.
% 0.76/1.50 (11353) {G0,W9,D3,L2,V2,M2} { ! alpha54( X, Y ), aReductOfIn0( skol18( X,
% 0.76/1.50 Y ), X, xR ) }.
% 0.76/1.50 (11354) {G0,W13,D2,L4,V3,M4} { ! aElement0( Z ), ! aReductOfIn0( Z, X, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( Z, xR, Y ), alpha54( X, Y ) }.
% 0.76/1.50 (11355) {G0,W6,D2,L2,V2,M2} { ! alpha24( X, Y ), alpha31( X, Y ) }.
% 0.76/1.50 (11356) {G0,W7,D2,L2,V2,M2} { ! alpha24( X, Y ), ! sdtmndtasgtdt0( X, xR,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11357) {G0,W10,D2,L3,V2,M3} { ! alpha31( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.76/1.50 ), alpha24( X, Y ) }.
% 0.76/1.50 (11358) {G0,W6,D2,L2,V2,M2} { ! alpha31( X, Y ), alpha38( X, Y ) }.
% 0.76/1.50 (11359) {G0,W7,D2,L2,V2,M2} { ! alpha31( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11360) {G0,W10,D2,L3,V2,M3} { ! alpha38( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ), alpha31( X, Y ) }.
% 0.76/1.50 (11361) {G0,W6,D2,L2,V2,M2} { ! alpha38( X, Y ), alpha45( X, Y ) }.
% 0.76/1.50 (11362) {G0,W6,D2,L2,V2,M2} { ! alpha38( X, Y ), alpha51( X, Y ) }.
% 0.76/1.50 (11363) {G0,W9,D2,L3,V2,M3} { ! alpha45( X, Y ), ! alpha51( X, Y ),
% 0.76/1.50 alpha38( X, Y ) }.
% 0.76/1.50 (11364) {G0,W13,D2,L4,V3,M4} { ! alpha51( X, Y ), ! aElement0( Z ), !
% 0.76/1.50 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.76/1.50 (11365) {G0,W7,D3,L2,V4,M2} { aElement0( skol19( Z, T ) ), alpha51( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11366) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol19( Z, Y ), xR, Y ),
% 0.76/1.50 alpha51( X, Y ) }.
% 0.76/1.50 (11367) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol19( X, Y ), X, xR ),
% 0.76/1.50 alpha51( X, Y ) }.
% 0.76/1.50 (11368) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! X = Y }.
% 0.76/1.50 (11369) {G0,W7,D2,L2,V2,M2} { ! alpha45( X, Y ), ! aReductOfIn0( Y, X, xR
% 0.76/1.50 ) }.
% 0.76/1.50 (11370) {G0,W10,D2,L3,V2,M3} { X = Y, aReductOfIn0( Y, X, xR ), alpha45( X
% 0.76/1.50 , Y ) }.
% 0.76/1.50 (11371) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), alpha25( X, Y ) }.
% 0.76/1.50 (11372) {G0,W7,D2,L2,V2,M2} { ! alpha19( X, Y ), ! sdtmndtasgtdt0( X, xR,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11373) {G0,W10,D2,L3,V2,M3} { ! alpha25( X, Y ), sdtmndtasgtdt0( X, xR, Y
% 0.76/1.50 ), alpha19( X, Y ) }.
% 0.76/1.50 (11374) {G0,W6,D2,L2,V2,M2} { ! alpha25( X, Y ), alpha32( X, Y ) }.
% 0.76/1.50 (11375) {G0,W7,D2,L2,V2,M2} { ! alpha25( X, Y ), ! sdtmndtplgtdt0( X, xR,
% 0.76/1.50 Y ) }.
% 0.76/1.50 (11376) {G0,W10,D2,L3,V2,M3} { ! alpha32( X, Y ), sdtmndtplgtdt0( X, xR, Y
% 0.76/1.50 ), alpha25( X, Y ) }.
% 0.76/1.50 (11377) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha39( X, Y ) }.
% 0.76/1.50 (11378) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), alpha46( X, Y ) }.
% 0.76/1.50 (11379) {G0,W9,D2,L3,V2,M3} { ! alpha39( X, Y ), ! alpha46( X, Y ),
% 0.76/1.50 alpha32( X, Y ) }.
% 0.76/1.50 (11380) {G0,W13,D2,L4,V3,M4} { ! alpha46( X, Y ), ! aElement0( Z ), !
% 0.76/1.50 aReductOfIn0( Z, X, xR ), ! sdtmndtplgtdt0( Z, xR, Y ) }.
% 0.76/1.50 (11381) {G0,W7,D3,L2,V4,M2} { aElement0( skol20( Z, T ) ), alpha46( X, Y )
% 0.76/1.50 }.
% 0.76/1.50 (11382) {G0,W9,D3,L2,V3,M2} { sdtmndtplgtdt0( skol20( Z, Y ), xR, Y ),
% 0.76/1.50 alpha46( X, Y ) }.
% 0.76/1.50 (11383) {G0,W9,D3,L2,V2,M2} { aReductOfIn0( skol20( X, Y ), X, xR ),
% 0.76/1.50 alpha46( X, Y ) }.
% 0.76/1.50 (11384) {G0,W6,D2,L2,V2,M2} { ! alpha39( X, Y ), ! X = Y }.
% 0.76/1.50 (11385) {G0,W7,D2,L2,V2,M2} { ! alpha39( X, Y ), ! aReductOfIn0( Y, X, xR
% 0.76/1.50 ) }.
% 0.76/1.50 (11386) {G0,W10,D2,L3,V2,M3} { X = Y, aReductOfIn0( Y, X, xR ), alpha39( X
% 0.76/1.50 , Y ) }.
% 0.76/1.50 (11387) {G0,W1,D1,L1,V0,M1} { alpha20 }.
% 0.76/1.50 (11388) {G0,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xa, xR, xb ) }.
% 0.76/1.50 (11389) {G0,W6,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), aElement0(
% 0.76/1.50 skol21 ) }.
% 0.76/1.50 (11390) {G0,W8,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), aReductOfIn0(
% 0.76/1.50 skol21, xa, xR ) }.
% 0.76/1.50 (11391) {G0,W8,D2,L2,V0,M2} { aReductOfIn0( xc, xa, xR ), sdtmndtplgtdt0(
% 0.76/1.50 skol21, xR, xc ) }.
% 0.76/1.50 (11392) {G0,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( xa, xR, xc ) }.
% 0.76/1.50 (11393) {G0,W6,D2,L3,V0,M3} { ! alpha20, aReductOfIn0( xb, xa, xR ),
% 0.76/1.50 alpha26 }.
% 0.76/1.50 (11394) {G0,W5,D2,L2,V0,M2} { ! aReductOfIn0( xb, xa, xR ), alpha20 }.
% 0.76/1.50 (11395) {G0,W2,D1,L2,V0,M2} { ! alpha26, alpha20 }.
% 0.76/1.50 (11396) {G0,W3,D2,L2,V0,M2} { ! alpha26, aElement0( skol22 ) }.
% 0.76/1.50 (11397) {G0,W5,D2,L2,V0,M2} { ! alpha26, aReductOfIn0( skol22, xa, xR )
% 0.76/1.50 }.
% 0.76/1.50 (11398) {G0,W5,D2,L2,V0,M2} { ! alpha26, sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 (11399) {G0,W11,D2,L4,V1,M4} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( X, xR, xb ), alpha26 }.
% 0.76/1.50 (11400) {G0,W8,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), alpha21( X ) }.
% 0.76/1.50 (11401) {G0,W16,D2,L5,V2,M5} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), ! aElement0( Y ), ! aReductOfIn0( Y, X, xR ), ! sdtmndtplgtdt0( Y, xR
% 0.76/1.50 , xb ) }.
% 0.76/1.50 (11402) {G0,W10,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), ! sdtmndtplgtdt0( X, xR, xb ) }.
% 0.76/1.50 (11403) {G0,W10,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0( X, xa, xR
% 0.76/1.50 ), ! sdtmndtasgtdt0( X, xR, xb ) }.
% 0.76/1.50 (11404) {G0,W5,D2,L2,V1,M2} { ! alpha21( X ), ! X = xb }.
% 0.76/1.50 (11405) {G0,W6,D2,L2,V1,M2} { ! alpha21( X ), ! aReductOfIn0( xb, X, xR )
% 0.76/1.50 }.
% 0.76/1.50 (11406) {G0,W9,D2,L3,V1,M3} { X = xb, aReductOfIn0( xb, X, xR ), alpha21(
% 0.76/1.50 X ) }.
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Total Proof:
% 0.76/1.50
% 0.76/1.50 subsumption: (128) {G0,W2,D2,L1,V0,M1} I { aElement0( xb ) }.
% 0.76/1.50 parent0: (11321) {G0,W2,D2,L1,V0,M1} { aElement0( xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (194) {G0,W1,D1,L1,V0,M1} I { alpha20 }.
% 0.76/1.50 parent0: (11387) {G0,W1,D1,L1,V0,M1} { alpha20 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 *** allocated 256285 integers for termspace/termends
% 0.76/1.50 resolution: (11618) {G1,W5,D2,L2,V0,M2} { aReductOfIn0( xb, xa, xR ),
% 0.76/1.50 alpha26 }.
% 0.76/1.50 parent0[0]: (11393) {G0,W6,D2,L3,V0,M3} { ! alpha20, aReductOfIn0( xb, xa
% 0.76/1.50 , xR ), alpha26 }.
% 0.76/1.50 parent1[0]: (194) {G0,W1,D1,L1,V0,M1} I { alpha20 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (200) {G1,W5,D2,L2,V0,M2} I;r(194) { aReductOfIn0( xb, xa, xR
% 0.76/1.50 ), alpha26 }.
% 0.76/1.50 parent0: (11618) {G1,W5,D2,L2,V0,M2} { aReductOfIn0( xb, xa, xR ), alpha26
% 0.76/1.50 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (201) {G0,W3,D2,L2,V0,M2} I { ! alpha26, aElement0( skol22 )
% 0.76/1.50 }.
% 0.76/1.50 parent0: (11396) {G0,W3,D2,L2,V0,M2} { ! alpha26, aElement0( skol22 ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (202) {G0,W5,D2,L2,V0,M2} I { ! alpha26, aReductOfIn0( skol22
% 0.76/1.50 , xa, xR ) }.
% 0.76/1.50 parent0: (11397) {G0,W5,D2,L2,V0,M2} { ! alpha26, aReductOfIn0( skol22, xa
% 0.76/1.50 , xR ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (203) {G0,W5,D2,L2,V0,M2} I { ! alpha26, sdtmndtplgtdt0(
% 0.76/1.50 skol22, xR, xb ) }.
% 0.76/1.50 parent0: (11398) {G0,W5,D2,L2,V0,M2} { ! alpha26, sdtmndtplgtdt0( skol22,
% 0.76/1.50 xR, xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (205) {G0,W8,D2,L3,V1,M3} I { ! aElement0( X ), ! aReductOfIn0
% 0.76/1.50 ( X, xa, xR ), alpha21( X ) }.
% 0.76/1.50 parent0: (11400) {G0,W8,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0( X
% 0.76/1.50 , xa, xR ), alpha21( X ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := X
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 2 ==> 2
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (207) {G0,W10,D2,L3,V1,M3} I { ! aElement0( X ), !
% 0.76/1.50 aReductOfIn0( X, xa, xR ), ! sdtmndtplgtdt0( X, xR, xb ) }.
% 0.76/1.50 parent0: (11402) {G0,W10,D2,L3,V1,M3} { ! aElement0( X ), ! aReductOfIn0(
% 0.76/1.50 X, xa, xR ), ! sdtmndtplgtdt0( X, xR, xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := X
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 2 ==> 2
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (209) {G0,W5,D2,L2,V1,M2} I { ! alpha21( X ), ! X = xb }.
% 0.76/1.50 parent0: (11404) {G0,W5,D2,L2,V1,M2} { ! alpha21( X ), ! X = xb }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := X
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 eqswap: (12094) {G0,W5,D2,L2,V1,M2} { ! xb = X, ! alpha21( X ) }.
% 0.76/1.50 parent0[1]: (209) {G0,W5,D2,L2,V1,M2} I { ! alpha21( X ), ! X = xb }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := X
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 eqrefl: (12095) {G0,W2,D2,L1,V0,M1} { ! alpha21( xb ) }.
% 0.76/1.50 parent0[0]: (12094) {G0,W5,D2,L2,V1,M2} { ! xb = X, ! alpha21( X ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := xb
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (247) {G1,W2,D2,L1,V0,M1} Q(209) { ! alpha21( xb ) }.
% 0.76/1.50 parent0: (12095) {G0,W2,D2,L1,V0,M1} { ! alpha21( xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12096) {G1,W5,D2,L3,V0,M3} { ! aElement0( xb ), alpha21( xb )
% 0.76/1.50 , alpha26 }.
% 0.76/1.50 parent0[1]: (205) {G0,W8,D2,L3,V1,M3} I { ! aElement0( X ), ! aReductOfIn0
% 0.76/1.50 ( X, xa, xR ), alpha21( X ) }.
% 0.76/1.50 parent1[0]: (200) {G1,W5,D2,L2,V0,M2} I;r(194) { aReductOfIn0( xb, xa, xR )
% 0.76/1.50 , alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := xb
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12097) {G1,W3,D2,L2,V0,M2} { alpha21( xb ), alpha26 }.
% 0.76/1.50 parent0[0]: (12096) {G1,W5,D2,L3,V0,M3} { ! aElement0( xb ), alpha21( xb )
% 0.76/1.50 , alpha26 }.
% 0.76/1.50 parent1[0]: (128) {G0,W2,D2,L1,V0,M1} I { aElement0( xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10048) {G2,W3,D2,L2,V0,M2} R(205,200);r(128) { alpha21( xb )
% 0.76/1.50 , alpha26 }.
% 0.76/1.50 parent0: (12097) {G1,W3,D2,L2,V0,M2} { alpha21( xb ), alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 1 ==> 1
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12098) {G2,W1,D1,L1,V0,M1} { alpha26 }.
% 0.76/1.50 parent0[0]: (247) {G1,W2,D2,L1,V0,M1} Q(209) { ! alpha21( xb ) }.
% 0.76/1.50 parent1[0]: (10048) {G2,W3,D2,L2,V0,M2} R(205,200);r(128) { alpha21( xb ),
% 0.76/1.50 alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10085) {G3,W1,D1,L1,V0,M1} S(10048);r(247) { alpha26 }.
% 0.76/1.50 parent0: (12098) {G2,W1,D1,L1,V0,M1} { alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12099) {G1,W4,D2,L1,V0,M1} { aReductOfIn0( skol22, xa, xR )
% 0.76/1.50 }.
% 0.76/1.50 parent0[0]: (202) {G0,W5,D2,L2,V0,M2} I { ! alpha26, aReductOfIn0( skol22,
% 0.76/1.50 xa, xR ) }.
% 0.76/1.50 parent1[0]: (10085) {G3,W1,D1,L1,V0,M1} S(10048);r(247) { alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10133) {G4,W4,D2,L1,V0,M1} R(10085,202) { aReductOfIn0(
% 0.76/1.50 skol22, xa, xR ) }.
% 0.76/1.50 parent0: (12099) {G1,W4,D2,L1,V0,M1} { aReductOfIn0( skol22, xa, xR ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12100) {G1,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 parent0[0]: (203) {G0,W5,D2,L2,V0,M2} I { ! alpha26, sdtmndtplgtdt0( skol22
% 0.76/1.50 , xR, xb ) }.
% 0.76/1.50 parent1[0]: (10085) {G3,W1,D1,L1,V0,M1} S(10048);r(247) { alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10134) {G4,W4,D2,L1,V0,M1} R(10085,203) { sdtmndtplgtdt0(
% 0.76/1.50 skol22, xR, xb ) }.
% 0.76/1.50 parent0: (12100) {G1,W4,D2,L1,V0,M1} { sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12101) {G1,W2,D2,L1,V0,M1} { aElement0( skol22 ) }.
% 0.76/1.50 parent0[0]: (201) {G0,W3,D2,L2,V0,M2} I { ! alpha26, aElement0( skol22 )
% 0.76/1.50 }.
% 0.76/1.50 parent1[0]: (10085) {G3,W1,D1,L1,V0,M1} S(10048);r(247) { alpha26 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10137) {G4,W2,D2,L1,V0,M1} R(10085,201) { aElement0( skol22 )
% 0.76/1.50 }.
% 0.76/1.50 parent0: (12101) {G1,W2,D2,L1,V0,M1} { aElement0( skol22 ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12102) {G1,W8,D2,L2,V0,M2} { ! aReductOfIn0( skol22, xa, xR )
% 0.76/1.50 , ! sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.76/1.50 parent0[0]: (207) {G0,W10,D2,L3,V1,M3} I { ! aElement0( X ), ! aReductOfIn0
% 0.76/1.50 ( X, xa, xR ), ! sdtmndtplgtdt0( X, xR, xb ) }.
% 0.76/1.50 parent1[0]: (10137) {G4,W2,D2,L1,V0,M1} R(10085,201) { aElement0( skol22 )
% 0.76/1.50 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 X := skol22
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12103) {G2,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( skol22, xR, xb
% 0.76/1.50 ) }.
% 0.76/1.50 parent0[0]: (12102) {G1,W8,D2,L2,V0,M2} { ! aReductOfIn0( skol22, xa, xR )
% 0.76/1.50 , ! sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.76/1.50 parent1[0]: (10133) {G4,W4,D2,L1,V0,M1} R(10085,202) { aReductOfIn0( skol22
% 0.76/1.50 , xa, xR ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (10407) {G5,W4,D2,L1,V0,M1} R(207,10137);r(10133) { !
% 0.76/1.50 sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.76/1.50 parent0: (12103) {G2,W4,D2,L1,V0,M1} { ! sdtmndtplgtdt0( skol22, xR, xb )
% 0.76/1.50 }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 0 ==> 0
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 resolution: (12104) {G5,W0,D0,L0,V0,M0} { }.
% 0.76/1.50 parent0[0]: (10407) {G5,W4,D2,L1,V0,M1} R(207,10137);r(10133) { !
% 0.76/1.50 sdtmndtplgtdt0( skol22, xR, xb ) }.
% 0.76/1.50 parent1[0]: (10134) {G4,W4,D2,L1,V0,M1} R(10085,203) { sdtmndtplgtdt0(
% 0.76/1.50 skol22, xR, xb ) }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 substitution1:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 subsumption: (11186) {G6,W0,D0,L0,V0,M0} S(10407);r(10134) { }.
% 0.76/1.50 parent0: (12104) {G5,W0,D0,L0,V0,M0} { }.
% 0.76/1.50 substitution0:
% 0.76/1.50 end
% 0.76/1.50 permutation0:
% 0.76/1.50 end
% 0.76/1.50
% 0.76/1.50 Proof check complete!
% 0.76/1.50
% 0.76/1.50 Memory use:
% 0.76/1.50
% 0.76/1.50 space for terms: 166105
% 0.76/1.50 space for clauses: 455012
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 clauses generated: 25415
% 0.76/1.50 clauses kept: 11187
% 0.76/1.50 clauses selected: 809
% 0.76/1.50 clauses deleted: 189
% 0.76/1.50 clauses inuse deleted: 180
% 0.76/1.50
% 0.76/1.50 subsentry: 33963
% 0.76/1.50 literals s-matched: 26711
% 0.76/1.50 literals matched: 23010
% 0.76/1.50 full subsumption: 3646
% 0.76/1.50
% 0.76/1.50 checksum: 1970903319
% 0.76/1.50
% 0.76/1.50
% 0.76/1.50 Bliksem ended
%------------------------------------------------------------------------------