%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC127+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 19:34:04 EDT 2022
% Result : Theorem 0.74s 1.39s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC127+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 15:37:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for termspace/termends
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.12 { ssItem( skol1 ) }.
% 0.71/1.12 { ssItem( skol47 ) }.
% 0.71/1.12 { ! skol1 = skol47 }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.71/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.71/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.71/1.12 ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.71/1.12 ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.71/1.12 = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.71/1.12 , Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.71/1.12 segmentP( X, Y ) }.
% 0.71/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.71/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.71/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.71/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.71/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.71/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.71/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.71/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.71/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.71/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.71/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.71/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, leq( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.71/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, lt( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.71/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.71/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.71/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, ! Y = Z }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.71/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.71/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.71/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.71/1.12 Z }.
% 0.71/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.71/1.12 { ssList( nil ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.12 ) = cons( T, Y ), Z = T }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.12 ) = cons( T, Y ), Y = X }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.71/1.12 ( cons( Z, Y ), X ) }.
% 0.71/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.71/1.12 , leq( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.71/1.12 lt( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.71/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.71/1.12 app( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.12 app( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.71/1.12 , X = Y, memberP( Z, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.71/1.12 ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.12 cons( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.71/1.12 { ! singletonP( nil ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.71/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.71/1.12 = Y }.
% 0.71/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.71/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.71/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.71/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.71/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.71/1.12 Y }.
% 0.71/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.71/1.12 ( app( Z, X ), Y ) }.
% 0.71/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.71/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.71/1.12 Y }.
% 0.71/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.71/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.71/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.71/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.71/1.12 { cyclefreeP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.71/1.12 { totalorderP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.71/1.12 { strictorderP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.71/1.12 { totalorderedP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.12 alpha10( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.71/1.12 .
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.71/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.71/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.71/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.71/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.71/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.71/1.12 { strictorderedP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.12 alpha11( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.71/1.12 .
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.71/1.12 , Y ) ) }.
% 0.71/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.71/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.71/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.71/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.71/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.71/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.71/1.12 { duplicatefreeP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.71/1.12 { equalelemsP( nil ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.71/1.12 ( Y ) = tl( X ), Y = X }.
% 0.71/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.71/1.12 , Z = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.71/1.12 , Z = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.71/1.12 ( X, app( Y, Z ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.71/1.12 Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.71/1.12 , geq( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.71/1.12 , lt( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.71/1.12 gt( X, Z ) }.
% 0.71/1.12 { ssList( skol46 ) }.
% 0.71/1.12 { ssList( skol49 ) }.
% 0.71/1.12 { ssList( skol50 ) }.
% 0.71/1.12 { ssList( skol51 ) }.
% 0.71/1.12 { skol49 = skol51 }.
% 0.71/1.12 { skol46 = skol50 }.
% 0.71/1.12 { neq( skol49, nil ) }.
% 0.71/1.12 { segmentP( skol51, skol50 ) }.
% 0.71/1.12 { singletonP( skol50 ), ! neq( skol51, nil ) }.
% 0.71/1.12 { ! neq( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for clauses
% 0.71/1.12 percentage equality = 0.127229, percentage horn = 0.761404
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.13
% 0.71/1.13 showgenerated = 0
% 0.71/1.13 showkept = 0
% 0.71/1.13 showselected = 0
% 0.71/1.13 showdeleted = 0
% 0.71/1.13 showresimp = 1
% 0.71/1.13 showstatus = 2000
% 0.71/1.13
% 0.71/1.13 prologoutput = 0
% 0.71/1.13 nrgoals = 5000000
% 0.71/1.13 totalproof = 1
% 0.71/1.13
% 0.71/1.13 Symbols occurring in the translation:
% 0.71/1.13
% 0.71/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.71/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.13 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.13 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.71/1.13 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.13 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.71/1.13 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.71/1.13 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.71/1.13 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.13 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.13 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.71/1.13 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.71/1.13 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.74/1.39 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.39 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.74/1.39 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.74/1.39 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.39 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.74/1.39 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.39 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.39 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.39 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.39 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.39 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.39 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.74/1.39 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.74/1.39 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.74/1.39 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.74/1.39 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.74/1.39 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.74/1.39 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.74/1.39 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.74/1.39 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.74/1.39 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.74/1.39 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.74/1.39 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.74/1.39 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.74/1.39 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.74/1.39 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.74/1.39 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.74/1.39 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.74/1.39 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.74/1.39 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.74/1.39 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.74/1.39 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.74/1.39 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.74/1.39 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.74/1.39 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.74/1.39 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.74/1.39 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.74/1.39 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.74/1.39 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.74/1.39 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.74/1.39 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.74/1.39 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.74/1.39 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.74/1.39 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 0.74/1.39 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.74/1.39 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.74/1.39 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.74/1.39 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.74/1.39 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.74/1.39 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.74/1.39 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 0.74/1.39 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.74/1.39 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.74/1.39 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.74/1.39 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.74/1.39 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.74/1.39 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.74/1.39 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.74/1.39 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.74/1.39 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.74/1.39 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.74/1.39 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.74/1.39 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.74/1.39 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.74/1.39 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.74/1.39 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.74/1.39 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.74/1.39 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.74/1.39 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.74/1.39 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.74/1.39 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.74/1.39 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.74/1.39 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.74/1.39 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.74/1.39 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.74/1.39 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.74/1.39 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.74/1.39 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.74/1.39 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.74/1.39 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.74/1.39 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.74/1.39 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.74/1.39 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.74/1.39 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.74/1.39 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.74/1.39 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.74/1.39 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.74/1.39 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.74/1.39 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.74/1.39 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.74/1.39 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.74/1.39 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.74/1.39 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.74/1.39 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.74/1.39 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.74/1.39 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.74/1.39 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.74/1.39 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.74/1.39 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.74/1.39 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.74/1.39 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.74/1.39 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.74/1.39 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.74/1.39 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.74/1.39 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.74/1.39 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.74/1.39 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Starting Search:
% 0.74/1.39
% 0.74/1.39 *** allocated 22500 integers for clauses
% 0.74/1.39 *** allocated 33750 integers for clauses
% 0.74/1.39 *** allocated 50625 integers for clauses
% 0.74/1.39 *** allocated 22500 integers for termspace/termends
% 0.74/1.39 *** allocated 75937 integers for clauses
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 33750 integers for termspace/termends
% 0.74/1.39 *** allocated 113905 integers for clauses
% 0.74/1.39 *** allocated 50625 integers for termspace/termends
% 0.74/1.39
% 0.74/1.39 Intermediate Status:
% 0.74/1.39 Generated: 3759
% 0.74/1.39 Kept: 2018
% 0.74/1.39 Inuse: 241
% 0.74/1.39 Deleted: 7
% 0.74/1.39 Deletedinuse: 2
% 0.74/1.39
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 170857 integers for clauses
% 0.74/1.39 *** allocated 75937 integers for termspace/termends
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 256285 integers for clauses
% 0.74/1.39
% 0.74/1.39 Intermediate Status:
% 0.74/1.39 Generated: 7466
% 0.74/1.39 Kept: 4090
% 0.74/1.39 Inuse: 414
% 0.74/1.39 Deleted: 21
% 0.74/1.39 Deletedinuse: 14
% 0.74/1.39
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 113905 integers for termspace/termends
% 0.74/1.39 *** allocated 384427 integers for clauses
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Intermediate Status:
% 0.74/1.39 Generated: 10475
% 0.74/1.39 Kept: 6106
% 0.74/1.39 Inuse: 564
% 0.74/1.39 Deleted: 25
% 0.74/1.39 Deletedinuse: 18
% 0.74/1.39
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 170857 integers for termspace/termends
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 *** allocated 576640 integers for clauses
% 0.74/1.39
% 0.74/1.39 Intermediate Status:
% 0.74/1.39 Generated: 14070
% 0.74/1.39 Kept: 8116
% 0.74/1.39 Inuse: 673
% 0.74/1.39 Deleted: 29
% 0.74/1.39 Deletedinuse: 22
% 0.74/1.39
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Intermediate Status:
% 0.74/1.39 Generated: 16498
% 0.74/1.39 Kept: 10118
% 0.74/1.39 Inuse: 734
% 0.74/1.39 Deleted: 31
% 0.74/1.39 Deletedinuse: 24
% 0.74/1.39
% 0.74/1.39 *** allocated 256285 integers for termspace/termends
% 0.74/1.39 *** allocated 864960 integers for clauses
% 0.74/1.39 Resimplifying inuse:
% 0.74/1.39 Done
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Bliksems!, er is een bewijs:
% 0.74/1.39 % SZS status Theorem
% 0.74/1.39 % SZS output start Refutation
% 0.74/1.39
% 0.74/1.39 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.74/1.39 (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.74/1.39 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.74/1.39 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.74/1.39 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.74/1.39 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.74/1.39 (282) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49, skol46 ) }.
% 0.74/1.39 (283) {G1,W2,D2,L1,V0,M1} I;d(280);d(279);r(281) { singletonP( skol46 ) }.
% 0.74/1.39 (284) {G2,W3,D2,L1,V0,M1} I;r(282) { ! neq( skol46, nil ) }.
% 0.74/1.39 (11032) {G3,W5,D2,L2,V0,M2} R(159,284);r(275) { ! ssList( nil ), skol46 ==>
% 0.74/1.39 nil }.
% 0.74/1.39 (11624) {G4,W3,D2,L1,V0,M1} S(11032);r(161) { skol46 ==> nil }.
% 0.74/1.39 (11625) {G5,W0,D0,L0,V0,M0} P(11624,283);r(192) { }.
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 % SZS output end Refutation
% 0.74/1.39 found a proof!
% 0.74/1.39
% 0.74/1.39
% 0.74/1.39 Unprocessed initial clauses:
% 0.74/1.39
% 0.74/1.39 (11627) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 0.74/1.39 , ! X = Y }.
% 0.74/1.39 (11628) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11629) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.74/1.39 (11630) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.74/1.39 (11631) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.74/1.39 (11632) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 0.74/1.39 , Y ), ssList( skol2( Z, T ) ) }.
% 0.74/1.39 (11633) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 0.74/1.39 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.74/1.39 (11634) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.74/1.39 (11635) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 0.74/1.39 ) ) }.
% 0.74/1.39 (11636) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 0.74/1.39 ( X, Y, Z ) ) ) = X }.
% 0.74/1.39 (11637) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 0.74/1.39 , alpha1( X, Y, Z ) }.
% 0.74/1.39 (11638) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.74/1.39 skol4( Y ) ) }.
% 0.74/1.39 (11639) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 0.74/1.39 skol4( X ), nil ) = X }.
% 0.74/1.39 (11640) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 0.74/1.39 nil ) = X, singletonP( X ) }.
% 0.74/1.39 (11641) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.74/1.39 X, Y ), ssList( skol5( Z, T ) ) }.
% 0.74/1.39 (11642) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.74/1.39 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.74/1.39 (11643) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.74/1.39 (11644) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.74/1.39 , Y ), ssList( skol6( Z, T ) ) }.
% 0.74/1.39 (11645) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.74/1.39 , Y ), app( skol6( X, Y ), Y ) = X }.
% 0.74/1.39 (11646) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.74/1.39 (11647) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.74/1.39 , Y ), ssList( skol7( Z, T ) ) }.
% 0.74/1.39 (11648) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.74/1.39 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.74/1.39 (11649) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.74/1.39 (11650) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 0.74/1.39 ) ) }.
% 0.74/1.39 (11651) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 0.74/1.39 skol8( X, Y, Z ) ) = X }.
% 0.74/1.39 (11652) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 0.74/1.39 , alpha2( X, Y, Z ) }.
% 0.74/1.39 (11653) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 0.74/1.39 Y ), alpha3( X, Y ) }.
% 0.74/1.39 (11654) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.74/1.39 cyclefreeP( X ) }.
% 0.74/1.39 (11655) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.74/1.39 cyclefreeP( X ) }.
% 0.74/1.39 (11656) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11657) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.74/1.39 (11658) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11659) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha28( X, Y, Z, T ) }.
% 0.74/1.39 (11660) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11661) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.74/1.39 alpha21( X, Y, Z ) }.
% 0.74/1.39 (11662) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha35( X, Y, Z, T, U ) }.
% 0.74/1.39 (11663) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11664) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 0.74/1.39 ), alpha28( X, Y, Z, T ) }.
% 0.74/1.39 (11665) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha41( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11666) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha35( X, Y, Z, T, U ) }.
% 0.74/1.39 (11667) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.74/1.39 (11668) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.74/1.39 (11669) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha41( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11670) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 0.74/1.39 W ) }.
% 0.74/1.39 (11671) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 0.74/1.39 X ) }.
% 0.74/1.39 (11672) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.74/1.39 (11673) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.74/1.39 (11674) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 0.74/1.39 ( Y ), alpha4( X, Y ) }.
% 0.74/1.39 (11675) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.74/1.39 totalorderP( X ) }.
% 0.74/1.39 (11676) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.74/1.39 totalorderP( X ) }.
% 0.74/1.39 (11677) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11678) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.74/1.39 (11679) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11680) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha29( X, Y, Z, T ) }.
% 0.74/1.39 (11681) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11682) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.74/1.39 alpha22( X, Y, Z ) }.
% 0.74/1.39 (11683) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha36( X, Y, Z, T, U ) }.
% 0.74/1.39 (11684) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11685) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 0.74/1.39 ), alpha29( X, Y, Z, T ) }.
% 0.74/1.39 (11686) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha42( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11687) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha36( X, Y, Z, T, U ) }.
% 0.74/1.39 (11688) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.74/1.39 (11689) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.74/1.39 (11690) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha42( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11691) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 0.74/1.39 W ) }.
% 0.74/1.39 (11692) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.74/1.39 }.
% 0.74/1.39 (11693) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.74/1.39 (11694) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.74/1.39 (11695) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 0.74/1.39 ( Y ), alpha5( X, Y ) }.
% 0.74/1.39 (11696) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.74/1.39 strictorderP( X ) }.
% 0.74/1.39 (11697) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.74/1.39 strictorderP( X ) }.
% 0.74/1.39 (11698) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11699) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.74/1.39 (11700) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11701) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha30( X, Y, Z, T ) }.
% 0.74/1.39 (11702) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11703) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.74/1.39 alpha23( X, Y, Z ) }.
% 0.74/1.39 (11704) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha37( X, Y, Z, T, U ) }.
% 0.74/1.39 (11705) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11706) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 0.74/1.39 ), alpha30( X, Y, Z, T ) }.
% 0.74/1.39 (11707) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha43( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11708) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha37( X, Y, Z, T, U ) }.
% 0.74/1.39 (11709) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.74/1.39 (11710) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.74/1.39 (11711) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha43( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11712) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 0.74/1.39 W ) }.
% 0.74/1.39 (11713) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 0.74/1.39 }.
% 0.74/1.39 (11714) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.74/1.39 (11715) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.74/1.39 (11716) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 0.74/1.39 ssItem( Y ), alpha6( X, Y ) }.
% 0.74/1.39 (11717) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.74/1.39 totalorderedP( X ) }.
% 0.74/1.39 (11718) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.74/1.39 totalorderedP( X ) }.
% 0.74/1.39 (11719) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11720) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.74/1.39 (11721) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11722) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha24( X, Y, Z, T ) }.
% 0.74/1.39 (11723) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11724) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.74/1.39 alpha15( X, Y, Z ) }.
% 0.74/1.39 (11725) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha31( X, Y, Z, T, U ) }.
% 0.74/1.39 (11726) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11727) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 0.74/1.39 ), alpha24( X, Y, Z, T ) }.
% 0.74/1.39 (11728) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha38( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11729) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha31( X, Y, Z, T, U ) }.
% 0.74/1.39 (11730) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.74/1.39 (11731) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.74/1.39 (11732) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha38( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11733) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.74/1.39 }.
% 0.74/1.39 (11734) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 0.74/1.39 ssItem( Y ), alpha7( X, Y ) }.
% 0.74/1.39 (11735) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.74/1.39 strictorderedP( X ) }.
% 0.74/1.39 (11736) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.74/1.39 strictorderedP( X ) }.
% 0.74/1.39 (11737) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11738) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.74/1.39 (11739) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11740) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha25( X, Y, Z, T ) }.
% 0.74/1.39 (11741) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11742) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.74/1.39 alpha16( X, Y, Z ) }.
% 0.74/1.39 (11743) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha32( X, Y, Z, T, U ) }.
% 0.74/1.39 (11744) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11745) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 0.74/1.39 ), alpha25( X, Y, Z, T ) }.
% 0.74/1.39 (11746) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha39( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11747) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha32( X, Y, Z, T, U ) }.
% 0.74/1.39 (11748) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.74/1.39 (11749) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.74/1.39 (11750) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11751) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.74/1.39 }.
% 0.74/1.39 (11752) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.74/1.39 ssItem( Y ), alpha8( X, Y ) }.
% 0.74/1.39 (11753) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.74/1.39 duplicatefreeP( X ) }.
% 0.74/1.39 (11754) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.74/1.39 duplicatefreeP( X ) }.
% 0.74/1.39 (11755) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11756) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.74/1.39 (11757) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11758) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha26( X, Y, Z, T ) }.
% 0.74/1.39 (11759) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11760) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.74/1.39 alpha17( X, Y, Z ) }.
% 0.74/1.39 (11761) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha33( X, Y, Z, T, U ) }.
% 0.74/1.39 (11762) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11763) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.74/1.39 ), alpha26( X, Y, Z, T ) }.
% 0.74/1.39 (11764) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.74/1.39 alpha40( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11765) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.74/1.39 alpha33( X, Y, Z, T, U ) }.
% 0.74/1.39 (11766) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 0.74/1.39 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.74/1.39 (11767) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 0.74/1.39 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.74/1.39 (11768) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.74/1.39 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11769) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.74/1.39 (11770) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 0.74/1.39 ( Y ), alpha9( X, Y ) }.
% 0.74/1.39 (11771) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.74/1.39 equalelemsP( X ) }.
% 0.74/1.39 (11772) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.74/1.39 equalelemsP( X ) }.
% 0.74/1.39 (11773) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 0.74/1.39 , Y, Z ) }.
% 0.74/1.39 (11774) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.74/1.39 (11775) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11776) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 0.74/1.39 alpha27( X, Y, Z, T ) }.
% 0.74/1.39 (11777) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 0.74/1.39 Z ) }.
% 0.74/1.39 (11778) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.74/1.39 alpha18( X, Y, Z ) }.
% 0.74/1.39 (11779) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.74/1.39 alpha34( X, Y, Z, T, U ) }.
% 0.74/1.39 (11780) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 0.74/1.39 X, Y, Z, T ) }.
% 0.74/1.39 (11781) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.74/1.39 ), alpha27( X, Y, Z, T ) }.
% 0.74/1.39 (11782) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 0.74/1.39 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.74/1.39 (11783) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.74/1.39 alpha34( X, Y, Z, T, U ) }.
% 0.74/1.39 (11784) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.74/1.39 (11785) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.74/1.39 , ! X = Y }.
% 0.74/1.39 (11786) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.74/1.39 , Y ) }.
% 0.74/1.39 (11787) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 0.74/1.39 Y, X ) ) }.
% 0.74/1.39 (11788) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.74/1.39 (11789) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.74/1.39 = X }.
% 0.74/1.39 (11790) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.74/1.39 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.74/1.39 (11791) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.74/1.39 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.74/1.39 (11792) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 0.74/1.39 ) }.
% 0.74/1.39 (11793) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 0.74/1.39 ) }.
% 0.74/1.39 (11794) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.74/1.39 skol43( X ) ) = X }.
% 0.74/1.39 (11795) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 0.74/1.39 Y, X ) }.
% 0.74/1.39 (11796) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 0.74/1.39 }.
% 0.74/1.39 (11797) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 0.74/1.39 X ) ) = Y }.
% 0.74/1.39 (11798) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 0.74/1.39 }.
% 0.74/1.39 (11799) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 0.74/1.39 X ) ) = X }.
% 0.74/1.39 (11800) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.74/1.39 , Y ) ) }.
% 0.74/1.39 (11801) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.74/1.39 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.74/1.39 (11802) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.74/1.39 (11803) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.74/1.39 , ! leq( Y, X ), X = Y }.
% 0.74/1.39 (11804) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.74/1.39 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.74/1.39 (11805) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.74/1.39 (11806) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.74/1.39 , leq( Y, X ) }.
% 0.74/1.39 (11807) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.74/1.39 , geq( X, Y ) }.
% 0.74/1.39 (11808) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.74/1.39 , ! lt( Y, X ) }.
% 0.74/1.39 (11809) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.74/1.39 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.74/1.39 (11810) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 0.74/1.39 , lt( Y, X ) }.
% 0.74/1.39 (11811) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 0.74/1.39 , gt( X, Y ) }.
% 0.74/1.39 (11812) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.74/1.39 (11813) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.74/1.39 (11814) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.74/1.39 (11815) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.74/1.39 (11816) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.74/1.39 (11817) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.74/1.39 (11818) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.74/1.39 (11819) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.74/1.39 (11820) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.74/1.39 (11821) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.74/1.39 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 0.74/1.39 (11822) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.74/1.39 (11823) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.74/1.39 (11824) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.74/1.39 (11825) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.74/1.39 , T ) }.
% 0.74/1.39 (11826) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.74/1.39 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.74/1.39 cons( Y, T ) ) }.
% 0.74/1.39 (11827) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.74/1.39 (11828) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 0.74/1.39 X }.
% 0.74/1.39 (11829) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 0.74/1.39 ) }.
% 0.74/1.39 (11830) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.74/1.39 (11831) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.74/1.39 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.74/1.39 (11832) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.74/1.39 (11833) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.74/1.39 (11834) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.74/1.39 (11835) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.74/1.39 }.
% 0.74/1.39 (11836) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.74/1.39 }.
% 0.74/1.39 (11837) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.74/1.39 (11838) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.74/1.39 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.74/1.39 (11839) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.74/1.39 (11840) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.74/1.39 }.
% 0.74/1.39 (11841) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.74/1.39 (11842) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.74/1.39 }.
% 0.74/1.39 (11843) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.74/1.39 }.
% 0.74/1.39 (11844) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.74/1.39 }.
% 0.74/1.39 (11845) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.74/1.39 (11846) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.74/1.39 }.
% 0.74/1.39 (11847) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.74/1.39 (11848) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 0.74/1.39 ) }.
% 0.74/1.39 (11849) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.74/1.39 (11850) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.74/1.39 ) }.
% 0.74/1.39 (11851) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.74/1.39 (11852) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.74/1.39 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.74/1.39 (11853) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.74/1.39 totalorderedP( cons( X, Y ) ) }.
% 0.74/1.39 (11854) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 0.74/1.39 , Y ), totalorderedP( cons( X, Y ) ) }.
% 0.74/1.39 (11855) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.74/1.39 (11856) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.74/1.39 (11857) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.74/1.39 }.
% 0.74/1.39 (11858) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.74/1.39 (11859) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.74/1.39 (11860) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.74/1.39 alpha19( X, Y ) }.
% 0.74/1.39 (11861) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 0.74/1.39 ) ) }.
% 0.74/1.39 (11862) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.74/1.39 (11863) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.74/1.39 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.74/1.39 (11864) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.74/1.39 strictorderedP( cons( X, Y ) ) }.
% 0.74/1.39 (11865) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 0.74/1.39 , Y ), strictorderedP( cons( X, Y ) ) }.
% 0.74/1.39 (11866) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.74/1.39 (11867) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.74/1.39 (11868) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.74/1.39 }.
% 0.74/1.39 (11869) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.74/1.39 (11870) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.74/1.39 (11871) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.74/1.39 alpha20( X, Y ) }.
% 0.74/1.39 (11872) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 0.74/1.39 ) ) }.
% 0.74/1.39 (11873) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.74/1.39 (11874) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.74/1.39 }.
% 0.74/1.39 (11875) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.74/1.39 (11876) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 0.74/1.39 ) }.
% 0.74/1.39 (11877) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.74/1.39 ) }.
% 0.74/1.39 (11878) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 0.74/1.39 ) }.
% 0.74/1.39 (11879) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.74/1.39 ) }.
% 0.74/1.39 (11880) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 0.74/1.39 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.74/1.39 (11881) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 0.74/1.39 X ) ) = X }.
% 0.74/1.39 (11882) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.39 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.74/1.39 (11883) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.40 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.74/1.40 (11884) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 0.74/1.40 = app( cons( Y, nil ), X ) }.
% 0.74/1.40 (11885) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.74/1.40 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.74/1.40 (11886) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 0.74/1.40 X, Y ), nil = Y }.
% 0.74/1.40 (11887) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 0.74/1.40 X, Y ), nil = X }.
% 0.74/1.40 (11888) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.74/1.40 nil = X, nil = app( X, Y ) }.
% 0.74/1.40 (11889) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.74/1.40 (11890) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.74/1.40 app( X, Y ) ) = hd( X ) }.
% 0.74/1.40 (11891) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.74/1.40 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.74/1.40 (11892) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.74/1.40 , ! geq( Y, X ), X = Y }.
% 0.74/1.40 (11893) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.74/1.40 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.74/1.40 (11894) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.74/1.40 (11895) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.74/1.40 (11896) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.74/1.40 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.74/1.40 (11897) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.74/1.40 , X = Y, lt( X, Y ) }.
% 0.74/1.40 (11898) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.74/1.40 , ! X = Y }.
% 0.74/1.40 (11899) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.74/1.40 , leq( X, Y ) }.
% 0.74/1.40 (11900) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 0.74/1.40 ( X, Y ), lt( X, Y ) }.
% 0.74/1.40 (11901) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 0.74/1.40 , ! gt( Y, X ) }.
% 0.74/1.40 (11902) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.74/1.40 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.74/1.40 (11903) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.74/1.40 (11904) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.74/1.40 (11905) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.74/1.40 (11906) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.74/1.40 (11907) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.74/1.40 (11908) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.74/1.40 (11909) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.74/1.40 (11910) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 ) }.
% 0.74/1.40 (11911) {G0,W5,D2,L2,V0,M2} { singletonP( skol50 ), ! neq( skol51, nil )
% 0.74/1.40 }.
% 0.74/1.40 (11912) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP( skol49,
% 0.74/1.40 skol46 ) }.
% 0.74/1.40
% 0.74/1.40
% 0.74/1.40 Total Proof:
% 0.74/1.40
% 0.74/1.40 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 0.74/1.40 = Y, neq( X, Y ) }.
% 0.74/1.40 parent0: (11786) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 0.74/1.40 Y, neq( X, Y ) }.
% 0.74/1.40 substitution0:
% 0.74/1.40 X := X
% 0.74/1.40 Y := Y
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 1 ==> 1
% 0.74/1.40 2 ==> 2
% 0.74/1.40 3 ==> 3
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.74/1.40 parent0: (11788) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.74/1.40 parent0: (11819) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.74/1.40 parent0: (11903) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 eqswap: (12876) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.74/1.40 parent0[0]: (11907) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.74/1.40 parent0: (12876) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 eqswap: (13224) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.74/1.40 parent0[0]: (11908) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.74/1.40 parent0: (13224) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.74/1.40 substitution0:
% 0.74/1.40 end
% 0.74/1.40 permutation0:
% 0.74/1.40 0 ==> 0
% 0.74/1.40 end
% 0.74/1.40
% 0.74/1.40 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.74/1.40 parent0: (11909) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 paramod: (14499) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 ) }.
% 0.74/1.41 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.74/1.41 parent1[0; 1]: (11910) {G0,W3,D2,L1,V0,M1} { segmentP( skol51, skol50 )
% 0.74/1.41 }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 paramod: (14500) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 0.74/1.41 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.74/1.41 parent1[0; 2]: (14499) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol50 )
% 0.74/1.41 }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (282) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 0.74/1.41 skol46 ) }.
% 0.74/1.41 parent0: (14500) {G1,W3,D2,L1,V0,M1} { segmentP( skol49, skol46 ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 paramod: (15431) {G1,W5,D2,L2,V0,M2} { singletonP( skol46 ), ! neq( skol51
% 0.74/1.41 , nil ) }.
% 0.74/1.41 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.74/1.41 parent1[0; 1]: (11911) {G0,W5,D2,L2,V0,M2} { singletonP( skol50 ), ! neq(
% 0.74/1.41 skol51, nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 paramod: (15432) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), singletonP(
% 0.74/1.41 skol46 ) }.
% 0.74/1.41 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.74/1.41 parent1[1; 2]: (15431) {G1,W5,D2,L2,V0,M2} { singletonP( skol46 ), ! neq(
% 0.74/1.41 skol51, nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15433) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 0.74/1.41 parent0[0]: (15432) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), singletonP
% 0.74/1.41 ( skol46 ) }.
% 0.74/1.41 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (283) {G1,W2,D2,L1,V0,M1} I;d(280);d(279);r(281) { singletonP
% 0.74/1.41 ( skol46 ) }.
% 0.74/1.41 parent0: (15433) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15789) {G1,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.74/1.41 parent0[1]: (11912) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! segmentP
% 0.74/1.41 ( skol49, skol46 ) }.
% 0.74/1.41 parent1[0]: (282) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { segmentP( skol49,
% 0.74/1.41 skol46 ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (284) {G2,W3,D2,L1,V0,M1} I;r(282) { ! neq( skol46, nil ) }.
% 0.74/1.41 parent0: (15789) {G1,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 eqswap: (15790) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 0.74/1.41 , neq( X, Y ) }.
% 0.74/1.41 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 0.74/1.41 = Y, neq( X, Y ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 X := X
% 0.74/1.41 Y := Y
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15791) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 0.74/1.41 , ! ssList( nil ) }.
% 0.74/1.41 parent0[0]: (284) {G2,W3,D2,L1,V0,M1} I;r(282) { ! neq( skol46, nil ) }.
% 0.74/1.41 parent1[3]: (15790) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 0.74/1.41 ( Y ), neq( X, Y ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 X := skol46
% 0.74/1.41 Y := nil
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15792) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 0.74/1.41 }.
% 0.74/1.41 parent0[1]: (15791) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 0.74/1.41 , ! ssList( nil ) }.
% 0.74/1.41 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 eqswap: (15793) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 0.74/1.41 parent0[0]: (15792) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 0.74/1.41 }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (11032) {G3,W5,D2,L2,V0,M2} R(159,284);r(275) { ! ssList( nil
% 0.74/1.41 ), skol46 ==> nil }.
% 0.74/1.41 parent0: (15793) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 1
% 0.74/1.41 1 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15795) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.74/1.41 parent0[0]: (11032) {G3,W5,D2,L2,V0,M2} R(159,284);r(275) { ! ssList( nil )
% 0.74/1.41 , skol46 ==> nil }.
% 0.74/1.41 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (11624) {G4,W3,D2,L1,V0,M1} S(11032);r(161) { skol46 ==> nil
% 0.74/1.41 }.
% 0.74/1.41 parent0: (15795) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 0 ==> 0
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 paramod: (15798) {G2,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 0.74/1.41 parent0[0]: (11624) {G4,W3,D2,L1,V0,M1} S(11032);r(161) { skol46 ==> nil
% 0.74/1.41 }.
% 0.74/1.41 parent1[0; 1]: (283) {G1,W2,D2,L1,V0,M1} I;d(280);d(279);r(281) {
% 0.74/1.41 singletonP( skol46 ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 resolution: (15799) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.41 parent0[0]: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.74/1.41 parent1[0]: (15798) {G2,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 substitution1:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 subsumption: (11625) {G5,W0,D0,L0,V0,M0} P(11624,283);r(192) { }.
% 0.74/1.41 parent0: (15799) {G1,W0,D0,L0,V0,M0} { }.
% 0.74/1.41 substitution0:
% 0.74/1.41 end
% 0.74/1.41 permutation0:
% 0.74/1.41 end
% 0.74/1.41
% 0.74/1.41 Proof check complete!
% 0.74/1.41
% 0.74/1.41 Memory use:
% 0.74/1.41
% 0.74/1.41 space for terms: 192593
% 0.74/1.41 space for clauses: 578813
% 0.74/1.41
% 0.74/1.41
% 0.74/1.41 clauses generated: 21178
% 0.74/1.41 clauses kept: 11626
% 0.74/1.41 clauses selected: 760
% 0.74/1.41 clauses deleted: 41
% 0.74/1.41 clauses inuse deleted: 32
% 0.74/1.41
% 0.74/1.41 subsentry: 35437
% 0.74/1.41 literals s-matched: 22110
% 0.74/1.41 literals matched: 19404
% 0.74/1.41 full subsumption: 10897
% 0.74/1.41
% 0.74/1.41 checksum: 618556179
% 0.74/1.41
% 0.74/1.41
% 0.74/1.41 Bliksem ended
%------------------------------------------------------------------------------