%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC367+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 : Tue Jul 19 19:36:17 EDT 2022
% Result : Theorem 0.73s 1.13s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC367+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 : Sun Jun 12 12:36:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ssItem( skol1 ) }.
% 0.73/1.12 { ssItem( skol47 ) }.
% 0.73/1.12 { ! skol1 = skol47 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.12 ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.12 = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.12 segmentP( X, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, leq( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, lt( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, ! Y = Z }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.12 Z }.
% 0.73/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.12 { ssList( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Z = T }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.12 ( cons( Z, Y ), X ) }.
% 0.73/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.12 , leq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.12 lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.12 , X = Y, memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.12 ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 cons( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.12 { ! singletonP( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.12 = Y }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.12 ( app( Z, X ), Y ) }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { cyclefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha10( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha11( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { duplicatefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.12 { equalelemsP( nil ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.12 ( Y ) = tl( X ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.12 ( X, app( Y, Z ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.12 Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.12 , geq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.12 , lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.12 gt( X, Z ) }.
% 0.73/1.12 { ssList( skol46 ) }.
% 0.73/1.12 { ssList( skol49 ) }.
% 0.73/1.12 { ssList( skol50 ) }.
% 0.73/1.12 { ssList( skol51 ) }.
% 0.73/1.12 { skol49 = skol51 }.
% 0.73/1.12 { skol46 = skol50 }.
% 0.73/1.12 { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.12 { alpha44( skol50, skol51 ), neq( skol50, nil ) }.
% 0.73/1.12 { alpha44( skol50, skol51 ), rearsegP( skol51, skol50 ) }.
% 0.73/1.12 { ! alpha44( X, Y ), nil = Y }.
% 0.73/1.12 { ! alpha44( X, Y ), nil = X }.
% 0.73/1.12 { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 percentage equality = 0.131051, percentage horn = 0.756098
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.12 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.12 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.12 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.12 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.12 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.12 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.12 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.12 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.12 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.13 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.13 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.13 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.73/1.13 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.73/1.13 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.13 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.13 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.13 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.13 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.73/1.13 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.73/1.13 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.13 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.13 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.73/1.13 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.73/1.13 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.73/1.13 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.73/1.13 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.73/1.13 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.73/1.13 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.73/1.13 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.73/1.13 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.73/1.13 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.73/1.13 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.73/1.13 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.73/1.13 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.73/1.13 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.73/1.13 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.73/1.13 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.73/1.13 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.73/1.13 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.73/1.13 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.73/1.13 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.73/1.13 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.73/1.13 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.73/1.13 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.73/1.13 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.73/1.13 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.73/1.13 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.73/1.13 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.73/1.13 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.73/1.13 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.73/1.13 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.73/1.13 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.73/1.13 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.73/1.13 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.73/1.13 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.73/1.13 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.73/1.13 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.73/1.13 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.73/1.13 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.73/1.13 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.73/1.13 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.73/1.13 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.73/1.13 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.73/1.13 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.73/1.13 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.73/1.13 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.73/1.13 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.73/1.13 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.73/1.13 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.73/1.13 skol3 [111, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.73/1.13 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.73/1.13 skol5 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.73/1.13 skol6 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.73/1.13 skol7 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.73/1.13 skol8 [116, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.73/1.13 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.73/1.13 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.73/1.13 skol11 [119, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.73/1.13 skol12 [120, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.73/1.13 skol13 [121, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.73/1.13 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.73/1.13 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.73/1.13 skol16 [124, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.73/1.13 skol17 [125, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.73/1.13 skol18 [126, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.73/1.13 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.73/1.13 skol20 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.73/1.13 skol21 [129, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.73/1.13 skol22 [130, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.73/1.13 skol23 [131, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.73/1.13 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.73/1.13 skol25 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.73/1.13 skol26 [134, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.73/1.13 skol27 [135, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.73/1.13 skol28 [136, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.73/1.13 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.73/1.13 skol30 [138, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.73/1.13 skol31 [139, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.73/1.13 skol32 [140, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.73/1.13 skol33 [141, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.73/1.13 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.73/1.13 skol35 [143, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.73/1.13 skol36 [144, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.73/1.13 skol37 [145, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.73/1.13 skol38 [146, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.73/1.13 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.73/1.13 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.73/1.13 skol41 [149, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.73/1.13 skol42 [150, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.73/1.13 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.73/1.13 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.73/1.13 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.73/1.13 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.73/1.13 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.73/1.13 skol48 [156, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.73/1.13 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.73/1.13 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.73/1.13 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Starting Search:
% 0.73/1.13
% 0.73/1.13 *** allocated 22500 integers for clauses
% 0.73/1.13 *** allocated 33750 integers for clauses
% 0.73/1.13 *** allocated 50625 integers for clauses
% 0.73/1.13 *** allocated 22500 integers for termspace/termends
% 0.73/1.13
% 0.73/1.13 Bliksems!, er is een bewijs:
% 0.73/1.13 % SZS status Theorem
% 0.73/1.13 % SZS output start Refutation
% 0.73/1.13
% 0.73/1.13 (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.13 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.73/1.13 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.73/1.13 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.73/1.13 (281) {G0,W3,D2,L1,V0,M1} I { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.13 (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(281) { alpha44(
% 0.73/1.13 skol46, skol49 ) }.
% 0.73/1.13 (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.73/1.13 (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.73/1.13 (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X ) }.
% 0.73/1.13 (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.73/1.13 (512) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil ) }.
% 0.73/1.13 (708) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.73/1.13 (750) {G3,W3,D2,L1,V1,M1} P(285,281);d(708);r(512) { ! alpha44( nil, X )
% 0.73/1.13 }.
% 0.73/1.13 (791) {G4,W0,D0,L0,V0,M0} R(750,373) { }.
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 % SZS output end Refutation
% 0.73/1.13 found a proof!
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Unprocessed initial clauses:
% 0.73/1.13
% 0.73/1.13 (793) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ),
% 0.73/1.13 ! X = Y }.
% 0.73/1.13 (794) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (795) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.73/1.13 (796) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.73/1.13 (797) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.73/1.13 (798) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.73/1.13 ), ssList( skol2( Z, T ) ) }.
% 0.73/1.13 (799) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.73/1.13 ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.73/1.13 (800) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.73/1.13 (801) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.73/1.13 ) }.
% 0.73/1.13 (802) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3(
% 0.73/1.13 X, Y, Z ) ) ) = X }.
% 0.73/1.13 (803) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X,
% 0.73/1.13 alpha1( X, Y, Z ) }.
% 0.73/1.13 (804) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.73/1.13 skol4( Y ) ) }.
% 0.73/1.13 (805) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons( skol4
% 0.73/1.13 ( X ), nil ) = X }.
% 0.73/1.13 (806) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.73/1.13 ) = X, singletonP( X ) }.
% 0.73/1.13 (807) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.73/1.13 , Y ), ssList( skol5( Z, T ) ) }.
% 0.73/1.13 (808) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.73/1.13 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.73/1.13 (809) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.73/1.13 (810) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.73/1.13 Y ), ssList( skol6( Z, T ) ) }.
% 0.73/1.13 (811) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.73/1.13 Y ), app( skol6( X, Y ), Y ) = X }.
% 0.73/1.13 (812) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.73/1.13 (813) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.73/1.13 Y ), ssList( skol7( Z, T ) ) }.
% 0.73/1.13 (814) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.73/1.13 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.73/1.13 (815) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.73/1.13 (816) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.73/1.13 ) }.
% 0.73/1.13 (817) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.73/1.13 ( X, Y, Z ) ) = X }.
% 0.73/1.13 (818) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.73/1.13 alpha2( X, Y, Z ) }.
% 0.73/1.13 (819) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.73/1.13 ), alpha3( X, Y ) }.
% 0.73/1.13 (820) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.73/1.13 cyclefreeP( X ) }.
% 0.73/1.13 (821) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.73/1.13 cyclefreeP( X ) }.
% 0.73/1.13 (822) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (823) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.13 (824) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (825) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (826) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (827) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.73/1.13 alpha21( X, Y, Z ) }.
% 0.73/1.13 (828) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha35( X, Y, Z, T, U ) }.
% 0.73/1.13 (829) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (830) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) )
% 0.73/1.13 , alpha28( X, Y, Z, T ) }.
% 0.73/1.13 (831) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (832) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha35( X, Y, Z, T, U ) }.
% 0.73/1.13 (833) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.13 (834) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.13 (835) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (836) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.73/1.13 ) }.
% 0.73/1.13 (837) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.73/1.13 ) }.
% 0.73/1.13 (838) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.13 (839) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.13 (840) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y
% 0.73/1.13 ), alpha4( X, Y ) }.
% 0.73/1.13 (841) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.73/1.13 totalorderP( X ) }.
% 0.73/1.13 (842) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.73/1.13 totalorderP( X ) }.
% 0.73/1.13 (843) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (844) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.13 (845) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (846) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (847) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (848) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.73/1.13 alpha22( X, Y, Z ) }.
% 0.73/1.13 (849) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha36( X, Y, Z, T, U ) }.
% 0.73/1.13 (850) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (851) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) )
% 0.73/1.13 , alpha29( X, Y, Z, T ) }.
% 0.73/1.13 (852) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (853) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha36( X, Y, Z, T, U ) }.
% 0.73/1.13 (854) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.13 (855) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.13 (856) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (857) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.73/1.13 ) }.
% 0.73/1.13 (858) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.73/1.13 }.
% 0.73/1.13 (859) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.13 (860) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.13 (861) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem(
% 0.73/1.13 Y ), alpha5( X, Y ) }.
% 0.73/1.13 (862) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.73/1.13 strictorderP( X ) }.
% 0.73/1.13 (863) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.73/1.13 strictorderP( X ) }.
% 0.73/1.13 (864) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (865) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.13 (866) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (867) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (868) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (869) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.73/1.13 alpha23( X, Y, Z ) }.
% 0.73/1.13 (870) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha37( X, Y, Z, T, U ) }.
% 0.73/1.13 (871) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (872) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) )
% 0.73/1.13 , alpha30( X, Y, Z, T ) }.
% 0.73/1.13 (873) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (874) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha37( X, Y, Z, T, U ) }.
% 0.73/1.13 (875) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.13 (876) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.13 (877) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (878) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.73/1.13 ) }.
% 0.73/1.13 (879) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.13 (880) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.13 (881) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.13 (882) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.73/1.13 ( Y ), alpha6( X, Y ) }.
% 0.73/1.13 (883) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.73/1.13 totalorderedP( X ) }.
% 0.73/1.13 (884) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.73/1.13 totalorderedP( X ) }.
% 0.73/1.13 (885) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (886) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.13 (887) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (888) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (889) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (890) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.73/1.13 alpha15( X, Y, Z ) }.
% 0.73/1.13 (891) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha31( X, Y, Z, T, U ) }.
% 0.73/1.13 (892) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (893) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) )
% 0.73/1.13 , alpha24( X, Y, Z, T ) }.
% 0.73/1.13 (894) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (895) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha31( X, Y, Z, T, U ) }.
% 0.73/1.13 (896) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.13 (897) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.73/1.13 (898) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (899) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.73/1.13 }.
% 0.73/1.13 (900) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), ! ssItem
% 0.73/1.13 ( Y ), alpha7( X, Y ) }.
% 0.73/1.13 (901) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.73/1.13 strictorderedP( X ) }.
% 0.73/1.13 (902) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.73/1.13 strictorderedP( X ) }.
% 0.73/1.13 (903) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (904) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.13 (905) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (906) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (907) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (908) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.73/1.13 alpha16( X, Y, Z ) }.
% 0.73/1.13 (909) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha32( X, Y, Z, T, U ) }.
% 0.73/1.13 (910) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (911) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) )
% 0.73/1.13 , alpha25( X, Y, Z, T ) }.
% 0.73/1.13 (912) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (913) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha32( X, Y, Z, T, U ) }.
% 0.73/1.13 (914) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.13 (915) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.73/1.13 (916) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (917) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (918) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem
% 0.73/1.13 ( Y ), alpha8( X, Y ) }.
% 0.73/1.13 (919) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.73/1.13 duplicatefreeP( X ) }.
% 0.73/1.13 (920) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.73/1.13 duplicatefreeP( X ) }.
% 0.73/1.13 (921) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (922) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.13 (923) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (924) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (925) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (926) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.73/1.13 alpha17( X, Y, Z ) }.
% 0.73/1.13 (927) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha33( X, Y, Z, T, U ) }.
% 0.73/1.13 (928) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (929) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) )
% 0.73/1.13 , alpha26( X, Y, Z, T ) }.
% 0.73/1.13 (930) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.73/1.13 alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (931) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.73/1.13 alpha33( X, Y, Z, T, U ) }.
% 0.73/1.13 (932) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.73/1.13 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.13 (933) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.73/1.13 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.73/1.13 (934) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.73/1.13 X, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (935) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.13 (936) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y
% 0.73/1.13 ), alpha9( X, Y ) }.
% 0.73/1.13 (937) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.73/1.13 equalelemsP( X ) }.
% 0.73/1.13 (938) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.73/1.13 equalelemsP( X ) }.
% 0.73/1.13 (939) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y
% 0.73/1.13 , Z ) }.
% 0.73/1.13 (940) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.13 (941) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (942) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.73/1.13 ( X, Y, Z, T ) }.
% 0.73/1.13 (943) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.73/1.13 ) }.
% 0.73/1.13 (944) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.73/1.13 alpha18( X, Y, Z ) }.
% 0.73/1.13 (945) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.73/1.13 alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 (946) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.73/1.13 , Y, Z, T ) }.
% 0.73/1.13 (947) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) )
% 0.73/1.13 , alpha27( X, Y, Z, T ) }.
% 0.73/1.13 (948) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y
% 0.73/1.13 , cons( Z, U ) ) ) = X, Y = Z }.
% 0.73/1.13 (949) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.73/1.13 alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 (950) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 (951) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ),
% 0.73/1.13 ! X = Y }.
% 0.73/1.13 (952) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X,
% 0.73/1.13 Y ) }.
% 0.73/1.13 (953) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.73/1.13 , X ) ) }.
% 0.73/1.13 (954) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.73/1.13 (955) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) =
% 0.73/1.13 X }.
% 0.73/1.13 (956) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.73/1.13 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.73/1.13 (957) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.73/1.13 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.73/1.13 (958) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.73/1.13 }.
% 0.73/1.13 (959) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.73/1.13 }.
% 0.73/1.13 (960) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.73/1.13 skol43( X ) ) = X }.
% 0.73/1.13 (961) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.73/1.13 , X ) }.
% 0.73/1.13 (962) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.13 (963) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.73/1.13 ) ) = Y }.
% 0.73/1.13 (964) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.13 (965) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.73/1.13 ) ) = X }.
% 0.73/1.13 (966) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X,
% 0.73/1.13 Y ) ) }.
% 0.73/1.13 (967) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.73/1.13 cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.73/1.13 (968) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.13 (969) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.73/1.13 ! leq( Y, X ), X = Y }.
% 0.73/1.13 (970) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.73/1.13 ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.73/1.13 (971) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.13 (972) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.73/1.13 leq( Y, X ) }.
% 0.73/1.13 (973) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ),
% 0.73/1.13 geq( X, Y ) }.
% 0.73/1.13 (974) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.73/1.13 lt( Y, X ) }.
% 0.73/1.13 (975) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.73/1.13 ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.73/1.13 (976) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.73/1.13 lt( Y, X ) }.
% 0.73/1.13 (977) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.73/1.13 gt( X, Y ) }.
% 0.73/1.13 (978) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.13 (979) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.73/1.13 (980) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.73/1.13 (981) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.73/1.13 (982) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.73/1.13 (983) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.73/1.13 (984) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.13 (985) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.73/1.13 (986) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.13 (987) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.73/1.13 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.73/1.13 (988) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.13 (989) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.73/1.13 (990) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.13 (991) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T
% 0.73/1.13 ) }.
% 0.73/1.13 (992) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.73/1.13 ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.73/1.13 cons( Y, T ) ) }.
% 0.73/1.13 (993) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.13 (994) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.73/1.13 }.
% 0.73/1.13 (995) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.73/1.13 }.
% 0.73/1.13 (996) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.13 (997) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.73/1.13 Y ), ! rearsegP( Y, X ), X = Y }.
% 0.73/1.13 (998) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.13 (999) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.73/1.13 ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.73/1.13 (1000) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.13 (1001) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.73/1.13 }.
% 0.73/1.13 (1002) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.73/1.13 }.
% 0.73/1.13 (1003) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.73/1.13 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.13 (1004) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.73/1.13 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.73/1.13 (1005) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.13 (1006) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.73/1.13 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.73/1.13 }.
% 0.73/1.13 (1007) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.14 (1008) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.73/1.14 }.
% 0.73/1.14 (1009) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.73/1.14 }.
% 0.73/1.14 (1010) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.73/1.14 }.
% 0.73/1.14 (1011) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.73/1.14 (1012) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.73/1.14 }.
% 0.73/1.14 (1013) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.73/1.14 (1014) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.73/1.14 }.
% 0.73/1.14 (1015) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.73/1.14 (1016) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.73/1.14 ) }.
% 0.73/1.14 (1017) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.73/1.14 (1018) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.73/1.14 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.73/1.14 (1019) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.73/1.14 totalorderedP( cons( X, Y ) ) }.
% 0.73/1.14 (1020) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.73/1.14 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.73/1.14 (1021) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.14 (1022) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.14 (1023) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.73/1.14 }.
% 0.73/1.14 (1024) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.14 (1025) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.14 (1026) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.73/1.14 alpha19( X, Y ) }.
% 0.73/1.14 (1027) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.73/1.14 ) }.
% 0.73/1.14 (1028) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.73/1.14 (1029) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.73/1.14 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.73/1.14 (1030) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.73/1.14 strictorderedP( cons( X, Y ) ) }.
% 0.73/1.14 (1031) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.73/1.14 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.73/1.14 (1032) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.14 (1033) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.14 (1034) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.73/1.14 }.
% 0.73/1.14 (1035) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.14 (1036) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.14 (1037) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.73/1.14 alpha20( X, Y ) }.
% 0.73/1.14 (1038) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.73/1.14 ) }.
% 0.73/1.14 (1039) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.73/1.14 (1040) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.73/1.14 }.
% 0.73/1.14 (1041) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.73/1.14 (1042) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.73/1.14 }.
% 0.73/1.14 (1043) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.73/1.14 ) }.
% 0.73/1.14 (1044) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.73/1.14 }.
% 0.73/1.14 (1045) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.73/1.14 ) }.
% 0.73/1.14 (1046) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.73/1.14 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.73/1.14 (1047) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.73/1.14 ) ) = X }.
% 0.73/1.14 (1048) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.73/1.14 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.73/1.14 (1049) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.73/1.14 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.73/1.14 (1050) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.73/1.14 app( cons( Y, nil ), X ) }.
% 0.73/1.14 (1051) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.73/1.14 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.73/1.14 (1052) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.73/1.14 , Y ), nil = Y }.
% 0.73/1.14 (1053) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.73/1.14 , Y ), nil = X }.
% 0.73/1.14 (1054) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.73/1.14 nil = X, nil = app( X, Y ) }.
% 0.73/1.14 (1055) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.14 (1056) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.73/1.14 app( X, Y ) ) = hd( X ) }.
% 0.73/1.14 (1057) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.73/1.14 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.73/1.14 (1058) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.73/1.14 , ! geq( Y, X ), X = Y }.
% 0.73/1.14 (1059) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.73/1.14 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.73/1.14 (1060) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.14 (1061) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.14 (1062) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.73/1.14 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.73/1.14 (1063) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.73/1.14 , X = Y, lt( X, Y ) }.
% 0.73/1.14 (1064) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.73/1.14 ! X = Y }.
% 0.73/1.14 (1065) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.73/1.14 leq( X, Y ) }.
% 0.73/1.14 (1066) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.73/1.16 X, Y ), lt( X, Y ) }.
% 0.73/1.16 (1067) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.73/1.16 ! gt( Y, X ) }.
% 0.73/1.16 (1068) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.73/1.16 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.73/1.16 (1069) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.73/1.16 (1070) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.73/1.16 (1071) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.73/1.16 (1072) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.73/1.16 (1073) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.73/1.16 (1074) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.73/1.16 (1075) {G0,W3,D2,L1,V0,M1} { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.16 (1076) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), neq( skol50, nil )
% 0.73/1.16 }.
% 0.73/1.16 (1077) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), rearsegP( skol51,
% 0.73/1.16 skol50 ) }.
% 0.73/1.16 (1078) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.73/1.16 (1079) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.73/1.16 (1080) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.73/1.16
% 0.73/1.16
% 0.73/1.16 Total Proof:
% 0.73/1.16
% 0.73/1.16 *** allocated 75937 integers for clauses
% 0.73/1.16 *** allocated 33750 integers for termspace/termends
% 0.73/1.16 subsumption: (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil
% 0.73/1.16 ) }.
% 0.73/1.16 parent0: (1000) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil )
% 0.73/1.16 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 X := X
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 1 ==> 1
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.73/1.16 parent0: (1070) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 *** allocated 50625 integers for termspace/termends
% 0.73/1.16 eqswap: (1943) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.73/1.16 parent0[0]: (1073) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.73/1.16 parent0: (1943) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 *** allocated 113905 integers for clauses
% 0.73/1.16 eqswap: (2291) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.73/1.16 parent0[0]: (1074) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.73/1.16 parent0: (2291) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.16 parent0: (1075) {G0,W3,D2,L1,V0,M1} { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 permutation0:
% 0.73/1.16 0 ==> 0
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 *** allocated 75937 integers for termspace/termends
% 0.73/1.16 *** allocated 170857 integers for clauses
% 0.73/1.16 paramod: (4145) {G1,W6,D2,L2,V0,M2} { rearsegP( skol51, skol46 ), alpha44
% 0.73/1.16 ( skol50, skol51 ) }.
% 0.73/1.16 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.73/1.16 parent1[1; 2]: (1077) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ),
% 0.73/1.16 rearsegP( skol51, skol50 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 paramod: (4148) {G1,W6,D2,L2,V0,M2} { alpha44( skol50, skol49 ), rearsegP
% 0.73/1.16 ( skol51, skol46 ) }.
% 0.73/1.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.73/1.16 parent1[1; 2]: (4145) {G1,W6,D2,L2,V0,M2} { rearsegP( skol51, skol46 ),
% 0.73/1.16 alpha44( skol50, skol51 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 paramod: (4150) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), alpha44
% 0.73/1.16 ( skol50, skol49 ) }.
% 0.73/1.16 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.73/1.16 parent1[1; 1]: (4148) {G1,W6,D2,L2,V0,M2} { alpha44( skol50, skol49 ),
% 0.73/1.16 rearsegP( skol51, skol46 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 paramod: (4151) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), rearsegP
% 0.73/1.16 ( skol49, skol46 ) }.
% 0.73/1.16 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.73/1.16 parent1[1; 1]: (4150) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ),
% 0.73/1.16 alpha44( skol50, skol49 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 resolution: (4152) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.73/1.16 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { ! rearsegP( skol49, skol46 ) }.
% 0.73/1.16 parent1[1]: (4151) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ),
% 0.73/1.16 rearsegP( skol49, skol46 ) }.
% 0.73/1.16 substitution0:
% 0.73/1.16 end
% 0.73/1.16 substitution1:
% 0.73/1.16 end
% 0.73/1.16
% 0.73/1.16 subsumption: (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(281)
% 0.73/1.16 { alpha44( skol46, skol49 ) }.
% 0.73/1.17 parent0: (4152) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.73/1.17 parent0: (1079) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.73/1.17 , Y ) }.
% 0.73/1.17 parent0: (1080) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y
% 0.73/1.17 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 2 ==> 2
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (4858) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y, X )
% 0.73/1.17 }.
% 0.73/1.17 parent0[0]: (286) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.73/1.17 , Y ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := Y
% 0.73/1.17 Y := X
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqrefl: (4862) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.73/1.17 parent0[1]: (4858) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y
% 0.73/1.17 , X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := nil
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (4863) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.73/1.17 parent0[0]: (4862) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X
% 0.73/1.17 ) }.
% 0.73/1.17 parent0: (4863) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 1 ==> 1
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (4865) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.73/1.17 parent0[0]: (372) {G1,W6,D2,L2,V1,M2} Q(286) { ! nil = X, alpha44( nil, X )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqrefl: (4866) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.73/1.17 parent0[0]: (4865) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := nil
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.73/1.17 parent0: (4866) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (4867) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, nil ) }.
% 0.73/1.17 parent0[0]: (207) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, nil )
% 0.73/1.17 }.
% 0.73/1.17 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol49
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (512) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil )
% 0.73/1.17 }.
% 0.73/1.17 parent0: (4867) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, nil ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (4868) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.73/1.17 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (4869) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.73/1.17 parent0[1]: (4868) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.73/1.17 parent1[0]: (283) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(281)
% 0.73/1.17 { alpha44( skol46, skol49 ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol46
% 0.73/1.17 Y := skol49
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (708) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.73/1.17 parent0: (4869) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 eqswap: (4871) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.73/1.17 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 Y := Y
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 paramod: (4874) {G1,W6,D2,L2,V1,M2} { ! rearsegP( skol49, nil ), ! alpha44
% 0.73/1.17 ( skol46, X ) }.
% 0.73/1.17 parent0[0]: (4871) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.73/1.17 parent1[0; 3]: (281) {G0,W3,D2,L1,V0,M1} I { ! rearsegP( skol49, skol46 )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := skol46
% 0.73/1.17 Y := X
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 paramod: (4895) {G2,W6,D2,L2,V1,M2} { ! alpha44( nil, X ), ! rearsegP(
% 0.73/1.17 skol49, nil ) }.
% 0.73/1.17 parent0[0]: (708) {G2,W3,D2,L1,V0,M1} R(285,283) { skol46 ==> nil }.
% 0.73/1.17 parent1[1; 2]: (4874) {G1,W6,D2,L2,V1,M2} { ! rearsegP( skol49, nil ), !
% 0.73/1.17 alpha44( skol46, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (4896) {G2,W3,D2,L1,V1,M1} { ! alpha44( nil, X ) }.
% 0.73/1.17 parent0[1]: (4895) {G2,W6,D2,L2,V1,M2} { ! alpha44( nil, X ), ! rearsegP(
% 0.73/1.17 skol49, nil ) }.
% 0.73/1.17 parent1[0]: (512) {G1,W3,D2,L1,V0,M1} R(207,276) { rearsegP( skol49, nil )
% 0.73/1.17 }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (750) {G3,W3,D2,L1,V1,M1} P(285,281);d(708);r(512) { ! alpha44
% 0.73/1.17 ( nil, X ) }.
% 0.73/1.17 parent0: (4896) {G2,W3,D2,L1,V1,M1} { ! alpha44( nil, X ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := X
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 0 ==> 0
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 resolution: (4897) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.17 parent0[0]: (750) {G3,W3,D2,L1,V1,M1} P(285,281);d(708);r(512) { ! alpha44
% 0.73/1.17 ( nil, X ) }.
% 0.73/1.17 parent1[0]: (373) {G2,W3,D2,L1,V0,M1} Q(372) { alpha44( nil, nil ) }.
% 0.73/1.17 substitution0:
% 0.73/1.17 X := nil
% 0.73/1.17 end
% 0.73/1.17 substitution1:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 subsumption: (791) {G4,W0,D0,L0,V0,M0} R(750,373) { }.
% 0.73/1.17 parent0: (4897) {G3,W0,D0,L0,V0,M0} { }.
% 0.73/1.17 substitution0:
% 0.73/1.17 end
% 0.73/1.17 permutation0:
% 0.73/1.17 end
% 0.73/1.17
% 0.73/1.17 Proof check complete!
% 0.73/1.17
% 0.73/1.17 Memory use:
% 0.73/1.17
% 0.73/1.17 space for terms: 16988
% 0.73/1.17 space for clauses: 42386
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 clauses generated: 1436
% 0.73/1.17 clauses kept: 792
% 0.73/1.17 clauses selected: 88
% 0.73/1.17 clauses deleted: 4
% 0.73/1.17 clauses inuse deleted: 0
% 0.73/1.17
% 0.73/1.17 subsentry: 26177
% 0.73/1.17 literals s-matched: 14578
% 0.73/1.17 literals matched: 13163
% 0.73/1.17 full subsumption: 8152
% 0.73/1.17
% 0.73/1.17 checksum: 75762693
% 0.73/1.17
% 0.73/1.17
% 0.73/1.17 Bliksem ended
%------------------------------------------------------------------------------