%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC358+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 19:36:12 EDT 2022
% Result : Theorem 0.55s 0.99s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC358+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Sun Jun 12 08:50:40 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.55/0.98 *** allocated 10000 integers for termspace/termends
% 0.55/0.98 *** allocated 10000 integers for clauses
% 0.55/0.98 *** allocated 10000 integers for justifications
% 0.55/0.98 Bliksem 1.12
% 0.55/0.98
% 0.55/0.98
% 0.55/0.98 Automatic Strategy Selection
% 0.55/0.98
% 0.55/0.98 *** allocated 15000 integers for termspace/termends
% 0.55/0.98
% 0.55/0.98 Clauses:
% 0.55/0.98
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.55/0.98 { ssItem( skol1 ) }.
% 0.55/0.98 { ssItem( skol47 ) }.
% 0.55/0.98 { ! skol1 = skol47 }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.55/0.98 }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.55/0.98 Y ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.55/0.98 ( X, Y ) }.
% 0.55/0.98 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.55/0.98 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.55/0.98 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.55/0.98 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.55/0.98 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.55/0.98 ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.55/0.98 ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.55/0.98 ( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.55/0.98 }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.55/0.98 = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.55/0.98 ( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.55/0.98 }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.55/0.98 , Y ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.55/0.98 segmentP( X, Y ) }.
% 0.55/0.98 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.55/0.98 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.55/0.98 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.55/0.98 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.55/0.98 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.55/0.98 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.55/0.98 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.55/0.98 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.55/0.98 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, alpha12( Y, Z ) }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.55/0.98 { leq( X, Y ), alpha12( X, Y ) }.
% 0.55/0.98 { leq( Y, X ), alpha12( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.55/0.98 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.55/0.98 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.55/0.98 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.55/0.98 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.55/0.98 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, alpha13( Y, Z ) }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.55/0.98 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.55/0.98 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.55/0.98 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.55/0.98 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.55/0.98 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.55/0.98 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.55/0.98 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, alpha14( Y, Z ) }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.55/0.98 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.55/0.98 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.55/0.98 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.55/0.98 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.55/0.98 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.55/0.98 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.55/0.98 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, leq( Y, Z ) }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.55/0.98 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.55/0.98 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.55/0.98 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.55/0.98 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.55/0.98 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, lt( Y, Z ) }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.55/0.98 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.55/0.98 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.55/0.98 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.55/0.98 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.55/0.98 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.55/0.98 .
% 0.55/0.98 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.55/0.98 , U ) }.
% 0.55/0.98 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.98 ) ) = X, ! Y = Z }.
% 0.55/0.98 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.55/0.98 W ) }.
% 0.55/0.98 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/0.98 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.55/0.98 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.55/0.98 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.55/0.98 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.55/0.98 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.55/0.98 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.55/0.98 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.55/0.98 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.55/0.98 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.55/0.98 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.55/0.98 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.55/0.98 Z }.
% 0.55/0.98 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.55/0.98 { ssList( nil ) }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.55/0.98 ) = cons( T, Y ), Z = T }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.55/0.98 ) = cons( T, Y ), Y = X }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.55/0.98 ( cons( Z, Y ), X ) }.
% 0.55/0.98 { ! ssList( X ), app( nil, X ) = X }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.55/0.98 , leq( X, Z ) }.
% 0.55/0.98 { ! ssItem( X ), leq( X, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.55/0.98 lt( X, Z ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.55/0.98 , memberP( Y, X ), memberP( Z, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.55/0.98 app( Y, Z ), X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.55/0.98 app( Y, Z ), X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.55/0.98 , X = Y, memberP( Z, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.55/0.98 ), X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.55/0.98 cons( Y, Z ), X ) }.
% 0.55/0.98 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.55/0.98 { ! singletonP( nil ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.55/0.98 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.55/0.98 = Y }.
% 0.55/0.98 { ! ssList( X ), frontsegP( X, X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.55/0.98 frontsegP( app( X, Z ), Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.55/0.98 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.55/0.98 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.55/0.98 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.55/0.98 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.55/0.98 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.55/0.98 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.55/0.98 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.55/0.98 Y }.
% 0.55/0.98 { ! ssList( X ), rearsegP( X, X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.55/0.98 ( app( Z, X ), Y ) }.
% 0.55/0.98 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.55/0.98 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.55/0.98 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.55/0.98 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.55/0.98 Y }.
% 0.55/0.98 { ! ssList( X ), segmentP( X, X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.55/0.98 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.55/0.98 { ! ssList( X ), segmentP( X, nil ) }.
% 0.55/0.98 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.55/0.98 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.55/0.98 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.55/0.98 { cyclefreeP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.55/0.98 { totalorderP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.55/0.98 { strictorderP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.55/0.98 { totalorderedP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.55/0.98 alpha10( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.55/0.98 .
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.55/0.98 Y ) ) }.
% 0.55/0.98 { ! alpha10( X, Y ), ! nil = Y }.
% 0.55/0.98 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.55/0.98 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.55/0.98 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.55/0.98 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.55/0.98 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.55/0.98 { strictorderedP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.55/0.98 alpha11( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.55/0.98 .
% 0.55/0.98 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.55/0.98 , Y ) ) }.
% 0.55/0.98 { ! alpha11( X, Y ), ! nil = Y }.
% 0.55/0.98 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.55/0.98 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.55/0.98 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.55/0.98 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.55/0.98 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.55/0.98 { duplicatefreeP( nil ) }.
% 0.55/0.98 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.55/0.98 { equalelemsP( nil ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.55/0.98 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.55/0.98 ( Y ) = tl( X ), Y = X }.
% 0.55/0.98 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.55/0.98 , Z = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.55/0.98 , Z = X }.
% 0.55/0.98 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.55/0.98 ( X, app( Y, Z ) ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.55/0.98 { ! ssList( X ), app( X, nil ) = X }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.55/0.98 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.55/0.98 Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.55/0.98 , geq( X, Z ) }.
% 0.55/0.98 { ! ssItem( X ), geq( X, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! lt( X, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.55/0.98 , lt( X, Z ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.55/0.98 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.55/0.98 gt( X, Z ) }.
% 0.55/0.98 { ssList( skol46 ) }.
% 0.55/0.98 { ssList( skol49 ) }.
% 0.55/0.98 { ssList( skol50 ) }.
% 0.55/0.98 { ssList( skol51 ) }.
% 0.55/0.98 { skol49 = skol51 }.
% 0.55/0.98 { skol46 = skol50 }.
% 0.55/0.98 { neq( skol49, nil ) }.
% 0.55/0.98 { ! segmentP( skol49, skol46 ) }.
% 0.55/0.98 { alpha44( skol50, skol51 ), neq( skol50, nil ) }.
% 0.55/0.98 { alpha44( skol50, skol51 ), segmentP( skol51, skol50 ) }.
% 0.55/0.98 { ! alpha44( X, Y ), nil = Y }.
% 0.55/0.98 { ! alpha44( X, Y ), nil = X }.
% 0.55/0.98 { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.55/0.98
% 0.55/0.98 *** allocated 15000 integers for clauses
% 0.55/0.98 percentage equality = 0.130896, percentage horn = 0.756944
% 0.55/0.98 This is a problem with some equality
% 0.55/0.98
% 0.55/0.98
% 0.55/0.98
% 0.55/0.98 Options Used:
% 0.55/0.98
% 0.55/0.98 useres = 1
% 0.55/0.98 useparamod = 1
% 0.55/0.98 useeqrefl = 1
% 0.55/0.98 useeqfact = 1
% 0.55/0.98 usefactor = 1
% 0.55/0.98 usesimpsplitting = 0
% 0.55/0.98 usesimpdemod = 5
% 0.55/0.98 usesimpres = 3
% 0.55/0.98
% 0.55/0.98 resimpinuse = 1000
% 0.55/0.98 resimpclauses = 20000
% 0.55/0.98 substype = eqrewr
% 0.55/0.98 backwardsubs = 1
% 0.55/0.98 selectoldest = 5
% 0.55/0.98
% 0.55/0.98 litorderings [0] = split
% 0.55/0.98 litorderings [1] = extend the termordering, first sorting on arguments
% 0.55/0.98
% 0.55/0.98 termordering = kbo
% 0.55/0.98
% 0.55/0.98 litapriori = 0
% 0.55/0.98 termapriori = 1
% 0.55/0.98 litaposteriori = 0
% 0.55/0.98 termaposteriori = 0
% 0.55/0.98 demodaposteriori = 0
% 0.55/0.98 ordereqreflfact = 0
% 0.55/0.98
% 0.55/0.98 litselect = negord
% 0.55/0.98
% 0.55/0.98 maxweight = 15
% 0.55/0.98 maxdepth = 30000
% 0.55/0.98 maxlength = 115
% 0.55/0.98 maxnrvars = 195
% 0.55/0.98 excuselevel = 1
% 0.55/0.98 increasemaxweight = 1
% 0.55/0.98
% 0.55/0.98 maxselected = 10000000
% 0.55/0.98 maxnrclauses = 10000000
% 0.55/0.98
% 0.55/0.98 showgenerated = 0
% 0.55/0.98 showkept = 0
% 0.55/0.98 showselected = 0
% 0.55/0.98 showdeleted = 0
% 0.55/0.98 showresimp = 1
% 0.55/0.98 showstatus = 2000
% 0.55/0.98
% 0.55/0.98 prologoutput = 0
% 0.55/0.98 nrgoals = 5000000
% 0.55/0.98 totalproof = 1
% 0.55/0.98
% 0.55/0.98 Symbols occurring in the translation:
% 0.55/0.98
% 0.55/0.98 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.55/0.98 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.55/0.98 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.55/0.98 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.98 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.98 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.55/0.98 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.55/0.98 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.55/0.98 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.55/0.98 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.55/0.98 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.55/0.98 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.55/0.98 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.55/0.98 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.55/0.99 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.55/0.99 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.55/0.99 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.55/0.99 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.55/0.99 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.55/0.99 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.55/0.99 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.55/0.99 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.55/0.99 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.55/0.99 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.55/0.99 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.55/0.99 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.55/0.99 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.55/0.99 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.55/0.99 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.55/0.99 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.55/0.99 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.55/0.99 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.55/0.99 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.55/0.99 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.55/0.99 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.55/0.99 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.55/0.99 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.55/0.99 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.55/0.99 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.55/0.99 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.55/0.99 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.55/0.99 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.55/0.99 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.55/0.99 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.55/0.99 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.55/0.99 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.55/0.99 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.55/0.99 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.55/0.99 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.55/0.99 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.55/0.99 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.55/0.99 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.55/0.99 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.55/0.99 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.55/0.99 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.55/0.99 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.55/0.99 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.55/0.99 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.55/0.99 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.55/0.99 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.55/0.99 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.55/0.99 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.55/0.99 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.55/0.99 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.55/0.99 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.55/0.99 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.55/0.99 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.55/0.99 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.55/0.99 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.55/0.99 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.55/0.99 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.55/0.99 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.55/0.99 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.55/0.99 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.55/0.99 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.55/0.99 skol3 [111, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.55/0.99 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.55/0.99 skol5 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.55/0.99 skol6 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.55/0.99 skol7 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.55/0.99 skol8 [116, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.55/0.99 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.55/0.99 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.55/0.99 skol11 [119, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.55/0.99 skol12 [120, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.55/0.99 skol13 [121, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.55/0.99 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.55/0.99 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.55/0.99 skol16 [124, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.55/0.99 skol17 [125, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.55/0.99 skol18 [126, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.55/0.99 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.55/0.99 skol20 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.55/0.99 skol21 [129, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.55/0.99 skol22 [130, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.55/0.99 skol23 [131, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.55/0.99 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.55/0.99 skol25 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.55/0.99 skol26 [134, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.55/0.99 skol27 [135, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.55/0.99 skol28 [136, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.55/0.99 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.55/0.99 skol30 [138, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.55/0.99 skol31 [139, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.55/0.99 skol32 [140, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.55/0.99 skol33 [141, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.55/0.99 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.55/0.99 skol35 [143, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.55/0.99 skol36 [144, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.55/0.99 skol37 [145, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.55/0.99 skol38 [146, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.55/0.99 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.55/0.99 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.55/0.99 skol41 [149, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.55/0.99 skol42 [150, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.55/0.99 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.55/0.99 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.55/0.99 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.55/0.99 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.55/0.99 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.55/0.99 skol48 [156, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.55/0.99 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.55/0.99 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.55/0.99 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Starting Search:
% 0.55/0.99
% 0.55/0.99 *** allocated 22500 integers for clauses
% 0.55/0.99 *** allocated 33750 integers for clauses
% 0.55/0.99 *** allocated 50625 integers for clauses
% 0.55/0.99 *** allocated 22500 integers for termspace/termends
% 0.55/0.99
% 0.55/0.99 Bliksems!, er is een bewijs:
% 0.55/0.99 % SZS status Theorem
% 0.55/0.99 % SZS output start Refutation
% 0.55/0.99
% 0.55/0.99 (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil ) }.
% 0.55/0.99 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.55/0.99 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.55/0.99 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.55/0.99 (282) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 0.55/0.99 (284) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(282) { alpha44(
% 0.55/0.99 skol46, skol49 ) }.
% 0.55/0.99 (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.55/0.99 (287) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.55/0.99 (373) {G1,W6,D2,L2,V1,M2} Q(287) { ! nil = X, alpha44( nil, X ) }.
% 0.55/0.99 (374) {G2,W3,D2,L1,V0,M1} Q(373) { alpha44( nil, nil ) }.
% 0.55/0.99 (477) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil ) }.
% 0.55/0.99 (714) {G2,W3,D2,L1,V0,M1} R(286,284) { skol46 ==> nil }.
% 0.55/0.99 (757) {G3,W3,D2,L1,V1,M1} P(286,282);d(714);r(477) { ! alpha44( nil, X )
% 0.55/0.99 }.
% 0.55/0.99 (798) {G4,W0,D0,L0,V0,M0} R(757,374) { }.
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 % SZS output end Refutation
% 0.55/0.99 found a proof!
% 0.55/0.99
% 0.55/0.99
% 0.55/0.99 Unprocessed initial clauses:
% 0.55/0.99
% 0.55/0.99 (800) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ),
% 0.55/0.99 ! X = Y }.
% 0.55/0.99 (801) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (802) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.55/0.99 (803) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.55/0.99 (804) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.55/0.99 (805) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.55/0.99 ), ssList( skol2( Z, T ) ) }.
% 0.55/0.99 (806) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.55/0.99 ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.55/0.99 (807) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.55/0.99 (808) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.55/0.99 ) }.
% 0.55/0.99 (809) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3(
% 0.55/0.99 X, Y, Z ) ) ) = X }.
% 0.55/0.99 (810) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X,
% 0.55/0.99 alpha1( X, Y, Z ) }.
% 0.55/0.99 (811) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.55/0.99 skol4( Y ) ) }.
% 0.55/0.99 (812) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons( skol4
% 0.55/0.99 ( X ), nil ) = X }.
% 0.55/0.99 (813) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.55/0.99 ) = X, singletonP( X ) }.
% 0.55/0.99 (814) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/0.99 , Y ), ssList( skol5( Z, T ) ) }.
% 0.55/0.99 (815) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/0.99 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.55/0.99 (816) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.55/0.99 (817) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.55/0.99 Y ), ssList( skol6( Z, T ) ) }.
% 0.55/0.99 (818) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.55/0.99 Y ), app( skol6( X, Y ), Y ) = X }.
% 0.55/0.99 (819) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.55/0.99 (820) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.55/0.99 Y ), ssList( skol7( Z, T ) ) }.
% 0.55/0.99 (821) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.55/0.99 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.55/0.99 (822) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.55/0.99 (823) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.55/0.99 ) }.
% 0.55/0.99 (824) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.55/0.99 ( X, Y, Z ) ) = X }.
% 0.55/0.99 (825) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.55/0.99 alpha2( X, Y, Z ) }.
% 0.55/0.99 (826) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.55/0.99 ), alpha3( X, Y ) }.
% 0.55/0.99 (827) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.55/0.99 cyclefreeP( X ) }.
% 0.55/0.99 (828) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.55/0.99 cyclefreeP( X ) }.
% 0.55/0.99 (829) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (830) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.55/0.99 (831) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (832) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (833) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (834) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.55/0.99 alpha21( X, Y, Z ) }.
% 0.55/0.99 (835) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha35( X, Y, Z, T, U ) }.
% 0.55/0.99 (836) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (837) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) )
% 0.55/0.99 , alpha28( X, Y, Z, T ) }.
% 0.55/0.99 (838) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha41( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (839) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha35( X, Y, Z, T, U ) }.
% 0.55/0.99 (840) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.55/0.99 (841) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.55/0.99 (842) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha41( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (843) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.55/0.99 ) }.
% 0.55/0.99 (844) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.55/0.99 ) }.
% 0.55/0.99 (845) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.55/0.99 (846) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.55/0.99 (847) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y
% 0.55/0.99 ), alpha4( X, Y ) }.
% 0.55/0.99 (848) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.55/0.99 totalorderP( X ) }.
% 0.55/0.99 (849) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.55/0.99 totalorderP( X ) }.
% 0.55/0.99 (850) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (851) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.55/0.99 (852) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (853) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (854) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (855) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.55/0.99 alpha22( X, Y, Z ) }.
% 0.55/0.99 (856) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha36( X, Y, Z, T, U ) }.
% 0.55/0.99 (857) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (858) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) )
% 0.55/0.99 , alpha29( X, Y, Z, T ) }.
% 0.55/0.99 (859) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha42( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (860) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha36( X, Y, Z, T, U ) }.
% 0.55/0.99 (861) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.55/0.99 (862) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.55/0.99 (863) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha42( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (864) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.55/0.99 ) }.
% 0.55/0.99 (865) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.55/0.99 }.
% 0.55/0.99 (866) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.55/0.99 (867) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.55/0.99 (868) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem(
% 0.55/0.99 Y ), alpha5( X, Y ) }.
% 0.55/0.99 (869) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.55/0.99 strictorderP( X ) }.
% 0.55/0.99 (870) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.55/0.99 strictorderP( X ) }.
% 0.55/0.99 (871) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (872) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.55/0.99 (873) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (874) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (875) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (876) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.55/0.99 alpha23( X, Y, Z ) }.
% 0.55/0.99 (877) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha37( X, Y, Z, T, U ) }.
% 0.55/0.99 (878) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (879) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) )
% 0.55/0.99 , alpha30( X, Y, Z, T ) }.
% 0.55/0.99 (880) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha43( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (881) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha37( X, Y, Z, T, U ) }.
% 0.55/0.99 (882) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.55/0.99 (883) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.55/0.99 (884) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha43( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (885) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.55/0.99 ) }.
% 0.55/0.99 (886) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.55/0.99 (887) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.55/0.99 (888) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.55/0.99 (889) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.55/0.99 ( Y ), alpha6( X, Y ) }.
% 0.55/0.99 (890) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.55/0.99 totalorderedP( X ) }.
% 0.55/0.99 (891) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.55/0.99 totalorderedP( X ) }.
% 0.55/0.99 (892) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (893) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.55/0.99 (894) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (895) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (896) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (897) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.55/0.99 alpha15( X, Y, Z ) }.
% 0.55/0.99 (898) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha31( X, Y, Z, T, U ) }.
% 0.55/0.99 (899) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (900) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) )
% 0.55/0.99 , alpha24( X, Y, Z, T ) }.
% 0.55/0.99 (901) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha38( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (902) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha31( X, Y, Z, T, U ) }.
% 0.55/0.99 (903) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.55/0.99 (904) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.55/0.99 (905) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha38( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (906) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.55/0.99 }.
% 0.55/0.99 (907) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), ! ssItem
% 0.55/0.99 ( Y ), alpha7( X, Y ) }.
% 0.55/0.99 (908) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.55/0.99 strictorderedP( X ) }.
% 0.55/0.99 (909) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.55/0.99 strictorderedP( X ) }.
% 0.55/0.99 (910) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (911) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.55/0.99 (912) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (913) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (914) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (915) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.55/0.99 alpha16( X, Y, Z ) }.
% 0.55/0.99 (916) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha32( X, Y, Z, T, U ) }.
% 0.55/0.99 (917) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (918) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) )
% 0.55/0.99 , alpha25( X, Y, Z, T ) }.
% 0.55/0.99 (919) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha39( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (920) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha32( X, Y, Z, T, U ) }.
% 0.55/0.99 (921) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.55/0.99 (922) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.55/0.99 (923) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha39( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (924) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (925) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem
% 0.55/0.99 ( Y ), alpha8( X, Y ) }.
% 0.55/0.99 (926) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.55/0.99 duplicatefreeP( X ) }.
% 0.55/0.99 (927) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.55/0.99 duplicatefreeP( X ) }.
% 0.55/0.99 (928) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (929) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.55/0.99 (930) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (931) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (932) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (933) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.55/0.99 alpha17( X, Y, Z ) }.
% 0.55/0.99 (934) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha33( X, Y, Z, T, U ) }.
% 0.55/0.99 (935) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (936) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) )
% 0.55/0.99 , alpha26( X, Y, Z, T ) }.
% 0.55/0.99 (937) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/0.99 alpha40( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (938) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.55/0.99 alpha33( X, Y, Z, T, U ) }.
% 0.55/0.99 (939) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.55/0.99 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.55/0.99 (940) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/0.99 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.55/0.99 (941) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.55/0.99 X, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (942) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/0.99 (943) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y
% 0.55/0.99 ), alpha9( X, Y ) }.
% 0.55/0.99 (944) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.55/0.99 equalelemsP( X ) }.
% 0.55/0.99 (945) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.55/0.99 equalelemsP( X ) }.
% 0.55/0.99 (946) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y
% 0.55/0.99 , Z ) }.
% 0.55/0.99 (947) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.55/0.99 (948) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (949) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.55/0.99 ( X, Y, Z, T ) }.
% 0.55/0.99 (950) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.55/0.99 ) }.
% 0.55/0.99 (951) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.55/0.99 alpha18( X, Y, Z ) }.
% 0.55/0.99 (952) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.55/0.99 alpha34( X, Y, Z, T, U ) }.
% 0.55/0.99 (953) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.55/0.99 , Y, Z, T ) }.
% 0.55/0.99 (954) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) )
% 0.55/0.99 , alpha27( X, Y, Z, T ) }.
% 0.55/0.99 (955) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y
% 0.55/0.99 , cons( Z, U ) ) ) = X, Y = Z }.
% 0.55/0.99 (956) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.55/0.99 alpha34( X, Y, Z, T, U ) }.
% 0.55/0.99 (957) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.55/0.99 (958) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ),
% 0.55/0.99 ! X = Y }.
% 0.55/0.99 (959) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X,
% 0.55/0.99 Y ) }.
% 0.55/0.99 (960) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.55/0.99 , X ) ) }.
% 0.55/0.99 (961) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.55/0.99 (962) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) =
% 0.55/0.99 X }.
% 0.55/0.99 (963) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.55/0.99 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.55/0.99 (964) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.55/0.99 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.55/0.99 (965) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 (966) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 (967) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.55/0.99 skol43( X ) ) = X }.
% 0.55/0.99 (968) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.55/0.99 , X ) }.
% 0.55/0.99 (969) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.55/0.99 (970) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.55/0.99 ) ) = Y }.
% 0.55/0.99 (971) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.55/0.99 (972) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.55/0.99 ) ) = X }.
% 0.55/0.99 (973) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X,
% 0.55/0.99 Y ) ) }.
% 0.55/0.99 (974) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.55/0.99 cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.55/0.99 (975) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.55/0.99 (976) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.55/0.99 ! leq( Y, X ), X = Y }.
% 0.55/0.99 (977) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.55/0.99 ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.55/0.99 (978) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.55/0.99 (979) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.55/0.99 leq( Y, X ) }.
% 0.55/0.99 (980) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ),
% 0.55/0.99 geq( X, Y ) }.
% 0.55/0.99 (981) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.55/0.99 lt( Y, X ) }.
% 0.55/0.99 (982) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.55/0.99 ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.55/0.99 (983) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.55/0.99 lt( Y, X ) }.
% 0.55/0.99 (984) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.55/0.99 gt( X, Y ) }.
% 0.55/0.99 (985) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.55/0.99 (986) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.55/0.99 (987) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.55/0.99 (988) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.55/0.99 (989) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.55/0.99 (990) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.55/0.99 (991) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.55/0.99 (992) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.55/0.99 (993) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.55/0.99 (994) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/0.99 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.55/0.99 (995) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.55/0.99 (996) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.55/0.99 ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.55/0.99 (997) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.55/0.99 (998) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T
% 0.55/0.99 ) }.
% 0.55/0.99 (999) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.55/0.99 ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.55/0.99 cons( Y, T ) ) }.
% 0.55/0.99 (1000) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.55/0.99 (1001) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.55/0.99 }.
% 0.55/0.99 (1002) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.55/0.99 }.
% 0.55/0.99 (1003) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.55/0.99 (1004) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.55/0.99 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.55/0.99 (1005) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.55/0.99 (1006) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.55/0.99 (1007) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.55/0.99 (1008) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.55/0.99 }.
% 0.55/0.99 (1009) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.55/0.99 }.
% 0.55/0.99 (1010) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.55/0.99 (1011) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.55/0.99 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.55/0.99 (1012) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.55/0.99 (1013) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.55/0.99 }.
% 0.55/0.99 (1014) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.55/0.99 (1015) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.55/0.99 }.
% 0.55/0.99 (1016) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.55/0.99 }.
% 0.55/0.99 (1017) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.55/0.99 }.
% 0.55/0.99 (1018) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.55/0.99 (1019) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.55/0.99 }.
% 0.55/0.99 (1020) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.55/0.99 (1021) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.55/0.99 }.
% 0.55/0.99 (1022) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.55/0.99 (1023) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.55/0.99 ) }.
% 0.55/0.99 (1024) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.55/0.99 (1025) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.55/0.99 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.55/0.99 (1026) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.55/0.99 totalorderedP( cons( X, Y ) ) }.
% 0.55/0.99 (1027) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.55/0.99 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.55/0.99 (1028) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.55/0.99 (1029) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.55/0.99 (1030) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.55/0.99 }.
% 0.55/0.99 (1031) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.55/0.99 (1032) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.55/0.99 (1033) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.55/0.99 alpha19( X, Y ) }.
% 0.55/0.99 (1034) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.55/0.99 ) }.
% 0.55/0.99 (1035) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.55/0.99 (1036) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.55/0.99 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.55/0.99 (1037) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.55/0.99 strictorderedP( cons( X, Y ) ) }.
% 0.55/0.99 (1038) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.55/0.99 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.55/0.99 (1039) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.55/0.99 (1040) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.55/0.99 (1041) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.55/0.99 }.
% 0.55/0.99 (1042) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.55/0.99 (1043) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.55/0.99 (1044) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.55/0.99 alpha20( X, Y ) }.
% 0.55/0.99 (1045) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.55/0.99 ) }.
% 0.55/0.99 (1046) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.55/0.99 (1047) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.55/0.99 }.
% 0.55/0.99 (1048) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.55/0.99 (1049) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 (1050) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.55/0.99 ) }.
% 0.55/0.99 (1051) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.55/0.99 }.
% 0.55/0.99 (1052) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.55/0.99 ) }.
% 0.55/0.99 (1053) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.55/0.99 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.55/0.99 (1054) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.55/0.99 ) ) = X }.
% 0.55/0.99 (1055) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.55/0.99 (1056) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.55/0.99 (1057) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.55/0.99 app( cons( Y, nil ), X ) }.
% 0.55/0.99 (1058) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/0.99 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.55/0.99 (1059) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.55/0.99 , Y ), nil = Y }.
% 0.55/0.99 (1060) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.55/0.99 , Y ), nil = X }.
% 0.55/0.99 (1061) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.55/0.99 nil = X, nil = app( X, Y ) }.
% 0.55/0.99 (1062) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.55/0.99 (1063) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.55/0.99 app( X, Y ) ) = hd( X ) }.
% 0.55/0.99 (1064) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.55/0.99 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.55/0.99 (1065) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.55/0.99 , ! geq( Y, X ), X = Y }.
% 0.55/0.99 (1066) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/0.99 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.55/0.99 (1067) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.55/0.99 (1068) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.55/0.99 (1069) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/0.99 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.55/0.99 (1070) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.55/0.99 , X = Y, lt( X, Y ) }.
% 0.55/0.99 (1071) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.55/0.99 ! X = Y }.
% 0.55/0.99 (1072) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.55/0.99 leq( X, Y ) }.
% 0.55/0.99 (1073) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.58/1.01 X, Y ), lt( X, Y ) }.
% 0.58/1.01 (1074) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.58/1.01 ! gt( Y, X ) }.
% 0.58/1.01 (1075) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.58/1.01 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.58/1.01 (1076) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.58/1.01 (1077) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.58/1.01 (1078) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.58/1.01 (1079) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.58/1.01 (1080) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.58/1.01 (1081) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.58/1.01 (1082) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.58/1.01 (1083) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 0.58/1.01 (1084) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), neq( skol50, nil )
% 0.58/1.01 }.
% 0.58/1.01 (1085) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ), segmentP( skol51,
% 0.58/1.01 skol50 ) }.
% 0.58/1.01 (1086) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.58/1.01 (1087) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.58/1.01 (1088) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 Total Proof:
% 0.58/1.01
% 0.58/1.01 *** allocated 75937 integers for clauses
% 0.58/1.01 *** allocated 33750 integers for termspace/termends
% 0.58/1.01 subsumption: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil
% 0.58/1.01 ) }.
% 0.58/1.01 parent0: (1014) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil )
% 0.58/1.01 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 1 ==> 1
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.58/1.01 parent0: (1077) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 *** allocated 50625 integers for termspace/termends
% 0.58/1.01 eqswap: (1976) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.58/1.01 parent0[0]: (1080) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.58/1.01 parent0: (1976) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 *** allocated 113905 integers for clauses
% 0.58/1.01 eqswap: (2324) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.58/1.01 parent0[0]: (1081) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.58/1.01 parent0: (2324) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 0.58/1.01 parent0: (1083) {G0,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 *** allocated 75937 integers for termspace/termends
% 0.58/1.01 *** allocated 170857 integers for clauses
% 0.58/1.01 paramod: (4182) {G1,W6,D2,L2,V0,M2} { segmentP( skol51, skol46 ), alpha44
% 0.58/1.01 ( skol50, skol51 ) }.
% 0.58/1.01 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.58/1.01 parent1[1; 2]: (1085) {G0,W6,D2,L2,V0,M2} { alpha44( skol50, skol51 ),
% 0.58/1.01 segmentP( skol51, skol50 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 paramod: (4185) {G1,W6,D2,L2,V0,M2} { alpha44( skol50, skol49 ), segmentP
% 0.58/1.01 ( skol51, skol46 ) }.
% 0.58/1.01 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.58/1.01 parent1[1; 2]: (4182) {G1,W6,D2,L2,V0,M2} { segmentP( skol51, skol46 ),
% 0.58/1.01 alpha44( skol50, skol51 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 paramod: (4187) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ), alpha44
% 0.58/1.01 ( skol50, skol49 ) }.
% 0.58/1.01 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.58/1.01 parent1[1; 1]: (4185) {G1,W6,D2,L2,V0,M2} { alpha44( skol50, skol49 ),
% 0.58/1.01 segmentP( skol51, skol46 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 paramod: (4188) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), segmentP
% 0.58/1.01 ( skol49, skol46 ) }.
% 0.58/1.01 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.58/1.01 parent1[1; 1]: (4187) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ),
% 0.58/1.01 alpha44( skol50, skol49 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 resolution: (4189) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.58/1.01 parent0[0]: (282) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 ) }.
% 0.58/1.01 parent1[1]: (4188) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ),
% 0.58/1.01 segmentP( skol49, skol46 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (284) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(282)
% 0.58/1.01 { alpha44( skol46, skol49 ) }.
% 0.58/1.01 parent0: (4189) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol49 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.58/1.01 parent0: (1087) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 Y := Y
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 1 ==> 1
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (287) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.58/1.01 , Y ) }.
% 0.58/1.01 parent0: (1088) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y
% 0.58/1.01 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 Y := Y
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 1 ==> 1
% 0.58/1.01 2 ==> 2
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqswap: (4895) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y, X )
% 0.58/1.01 }.
% 0.58/1.01 parent0[0]: (287) {G0,W9,D2,L3,V2,M3} I { ! nil = Y, ! nil = X, alpha44( X
% 0.58/1.01 , Y ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := Y
% 0.58/1.01 Y := X
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqrefl: (4899) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.58/1.01 parent0[1]: (4895) {G0,W9,D2,L3,V2,M3} { ! X = nil, ! nil = Y, alpha44( Y
% 0.58/1.01 , X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 Y := nil
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqswap: (4900) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.58/1.01 parent0[0]: (4899) {G0,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (373) {G1,W6,D2,L2,V1,M2} Q(287) { ! nil = X, alpha44( nil, X
% 0.58/1.01 ) }.
% 0.58/1.01 parent0: (4900) {G0,W6,D2,L2,V1,M2} { ! nil = X, alpha44( nil, X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 1 ==> 1
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqswap: (4902) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.58/1.01 parent0[0]: (373) {G1,W6,D2,L2,V1,M2} Q(287) { ! nil = X, alpha44( nil, X )
% 0.58/1.01 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqrefl: (4903) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.58/1.01 parent0[0]: (4902) {G1,W6,D2,L2,V1,M2} { ! X = nil, alpha44( nil, X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := nil
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (374) {G2,W3,D2,L1,V0,M1} Q(373) { alpha44( nil, nil ) }.
% 0.58/1.01 parent0: (4903) {G0,W3,D2,L1,V0,M1} { alpha44( nil, nil ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 resolution: (4904) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, nil ) }.
% 0.58/1.01 parent0[0]: (214) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), segmentP( X, nil )
% 0.58/1.01 }.
% 0.58/1.01 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := skol49
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (477) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil )
% 0.58/1.01 }.
% 0.58/1.01 parent0: (4904) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, nil ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqswap: (4905) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.58/1.01 parent0[1]: (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 Y := Y
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 resolution: (4906) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.58/1.01 parent0[1]: (4905) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.58/1.01 parent1[0]: (284) {G1,W3,D2,L1,V0,M1} I;d(280);d(279);d(279);d(280);r(282)
% 0.58/1.01 { alpha44( skol46, skol49 ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := skol46
% 0.58/1.01 Y := skol49
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (714) {G2,W3,D2,L1,V0,M1} R(286,284) { skol46 ==> nil }.
% 0.58/1.01 parent0: (4906) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 eqswap: (4908) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.58/1.01 parent0[1]: (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 Y := Y
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 paramod: (4911) {G1,W6,D2,L2,V1,M2} { ! segmentP( skol49, nil ), ! alpha44
% 0.58/1.01 ( skol46, X ) }.
% 0.58/1.01 parent0[0]: (4908) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 0.58/1.01 parent1[0; 3]: (282) {G0,W3,D2,L1,V0,M1} I { ! segmentP( skol49, skol46 )
% 0.58/1.01 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := skol46
% 0.58/1.01 Y := X
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 paramod: (4932) {G2,W6,D2,L2,V1,M2} { ! alpha44( nil, X ), ! segmentP(
% 0.58/1.01 skol49, nil ) }.
% 0.58/1.01 parent0[0]: (714) {G2,W3,D2,L1,V0,M1} R(286,284) { skol46 ==> nil }.
% 0.58/1.01 parent1[1; 2]: (4911) {G1,W6,D2,L2,V1,M2} { ! segmentP( skol49, nil ), !
% 0.58/1.01 alpha44( skol46, X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 resolution: (4933) {G2,W3,D2,L1,V1,M1} { ! alpha44( nil, X ) }.
% 0.58/1.01 parent0[1]: (4932) {G2,W6,D2,L2,V1,M2} { ! alpha44( nil, X ), ! segmentP(
% 0.58/1.01 skol49, nil ) }.
% 0.58/1.01 parent1[0]: (477) {G1,W3,D2,L1,V0,M1} R(214,276) { segmentP( skol49, nil )
% 0.58/1.01 }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (757) {G3,W3,D2,L1,V1,M1} P(286,282);d(714);r(477) { ! alpha44
% 0.58/1.01 ( nil, X ) }.
% 0.58/1.01 parent0: (4933) {G2,W3,D2,L1,V1,M1} { ! alpha44( nil, X ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := X
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 0 ==> 0
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 resolution: (4934) {G3,W0,D0,L0,V0,M0} { }.
% 0.58/1.01 parent0[0]: (757) {G3,W3,D2,L1,V1,M1} P(286,282);d(714);r(477) { ! alpha44
% 0.58/1.01 ( nil, X ) }.
% 0.58/1.01 parent1[0]: (374) {G2,W3,D2,L1,V0,M1} Q(373) { alpha44( nil, nil ) }.
% 0.58/1.01 substitution0:
% 0.58/1.01 X := nil
% 0.58/1.01 end
% 0.58/1.01 substitution1:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 subsumption: (798) {G4,W0,D0,L0,V0,M0} R(757,374) { }.
% 0.58/1.01 parent0: (4934) {G3,W0,D0,L0,V0,M0} { }.
% 0.58/1.01 substitution0:
% 0.58/1.01 end
% 0.58/1.01 permutation0:
% 0.58/1.01 end
% 0.58/1.01
% 0.58/1.01 Proof check complete!
% 0.58/1.01
% 0.58/1.01 Memory use:
% 0.58/1.01
% 0.58/1.01 space for terms: 17066
% 0.58/1.01 space for clauses: 42666
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 clauses generated: 1449
% 0.58/1.01 clauses kept: 799
% 0.58/1.01 clauses selected: 89
% 0.58/1.01 clauses deleted: 4
% 0.58/1.01 clauses inuse deleted: 0
% 0.58/1.01
% 0.58/1.01 subsentry: 26310
% 0.58/1.02 literals s-matched: 14693
% 0.58/1.02 literals matched: 13208
% 0.58/1.02 full subsumption: 8166
% 0.58/1.02
% 0.58/1.02 checksum: -75059447
% 0.58/1.02
% 0.58/1.02
% 0.58/1.02 Bliksem ended
%------------------------------------------------------------------------------