%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC023+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 19:33:04 EDT 2022
% Result : Theorem 3.52s 3.90s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC023+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sun Jun 12 06:56:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.77/1.15 *** allocated 10000 integers for termspace/termends
% 0.77/1.15 *** allocated 10000 integers for clauses
% 0.77/1.15 *** allocated 10000 integers for justifications
% 0.77/1.15 Bliksem 1.12
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Automatic Strategy Selection
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for termspace/termends
% 0.77/1.15
% 0.77/1.15 Clauses:
% 0.77/1.15
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.15 { ssItem( skol1 ) }.
% 0.77/1.15 { ssItem( skol48 ) }.
% 0.77/1.15 { ! skol1 = skol48 }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.77/1.15 Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.77/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.77/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.77/1.15 ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.77/1.15 ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.77/1.15 = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.77/1.15 ( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.77/1.15 }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.77/1.15 , Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.77/1.15 segmentP( X, Y ) }.
% 0.77/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.77/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.77/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.77/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.77/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.77/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.77/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.77/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.77/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.77/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.77/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.77/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.77/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.77/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.77/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.77/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.77/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.77/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.77/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.77/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.77/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.77/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.77/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, leq( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.77/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.77/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.77/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.77/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, lt( Y, Z ) }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.77/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.77/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.77/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.77/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.77/1.15 .
% 0.77/1.15 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.77/1.15 , U ) }.
% 0.77/1.15 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.77/1.15 ) ) = X, ! Y = Z }.
% 0.77/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.77/1.15 W ) }.
% 0.77/1.15 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.77/1.15 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.77/1.15 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.77/1.15 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.77/1.15 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.77/1.15 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.77/1.15 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.77/1.15 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.77/1.15 Z }.
% 0.77/1.15 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.77/1.15 { ssList( nil ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.15 ) = cons( T, Y ), Z = T }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.77/1.15 ) = cons( T, Y ), Y = X }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.77/1.15 ( cons( Z, Y ), X ) }.
% 0.77/1.15 { ! ssList( X ), app( nil, X ) = X }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.77/1.15 , leq( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), leq( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.77/1.15 lt( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.77/1.15 , memberP( Y, X ), memberP( Z, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.77/1.15 app( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.15 app( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.77/1.15 , X = Y, memberP( Z, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.77/1.15 ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.77/1.15 cons( Y, Z ), X ) }.
% 0.77/1.15 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.77/1.15 { ! singletonP( nil ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.77/1.15 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.77/1.15 = Y }.
% 0.77/1.15 { ! ssList( X ), frontsegP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.77/1.15 frontsegP( app( X, Z ), Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.15 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.77/1.15 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.77/1.15 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.77/1.15 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.77/1.15 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.77/1.15 Y }.
% 0.77/1.15 { ! ssList( X ), rearsegP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.77/1.15 ( app( Z, X ), Y ) }.
% 0.77/1.15 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.77/1.15 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.77/1.15 Y }.
% 0.77/1.15 { ! ssList( X ), segmentP( X, X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.77/1.15 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.77/1.15 { ! ssList( X ), segmentP( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.77/1.15 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.77/1.15 { cyclefreeP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.77/1.15 { totalorderP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.77/1.15 { strictorderP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.77/1.15 { totalorderedP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.15 alpha10( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.77/1.15 .
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.77/1.15 Y ) ) }.
% 0.77/1.15 { ! alpha10( X, Y ), ! nil = Y }.
% 0.77/1.15 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.77/1.15 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.77/1.15 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.77/1.15 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.77/1.15 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.77/1.15 { strictorderedP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.77/1.15 alpha11( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.77/1.15 .
% 0.77/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.77/1.15 , Y ) ) }.
% 0.77/1.15 { ! alpha11( X, Y ), ! nil = Y }.
% 0.77/1.15 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.77/1.15 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.77/1.15 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.77/1.15 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.77/1.15 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.77/1.15 { duplicatefreeP( nil ) }.
% 0.77/1.15 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.77/1.15 { equalelemsP( nil ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.77/1.15 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.77/1.15 ( Y ) = tl( X ), Y = X }.
% 0.77/1.15 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.77/1.15 , Z = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.77/1.15 , Z = X }.
% 0.77/1.15 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.77/1.15 ( X, app( Y, Z ) ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.77/1.15 { ! ssList( X ), app( X, nil ) = X }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.77/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.77/1.15 Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.77/1.15 , geq( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), geq( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! lt( X, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.77/1.15 , lt( X, Z ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.77/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.77/1.15 gt( X, Z ) }.
% 0.77/1.15 { ssList( skol46 ) }.
% 0.77/1.15 { ssList( skol50 ) }.
% 0.77/1.15 { ssList( skol51 ) }.
% 0.77/1.15 { ssList( skol52 ) }.
% 0.77/1.15 { skol50 = skol52 }.
% 0.77/1.15 { skol46 = skol51 }.
% 0.77/1.15 { neq( skol50, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! neq( X, nil ), ! frontsegP( skol50, X ), ! frontsegP(
% 0.77/1.15 skol46, X ) }.
% 0.77/1.15 { alpha45( skol51, skol52 ), nil = skol52 }.
% 0.77/1.15 { alpha45( skol51, skol52 ), nil = skol51 }.
% 0.77/1.15 { ! alpha45( X, Y ), alpha44( skol47( Z, T ) ) }.
% 0.77/1.15 { ! alpha45( X, Y ), frontsegP( Y, skol47( Z, Y ) ) }.
% 0.77/1.15 { ! alpha45( X, Y ), frontsegP( X, skol47( X, Y ) ) }.
% 0.77/1.15 { ! alpha44( Z ), ! frontsegP( Y, Z ), ! frontsegP( X, Z ), alpha45( X, Y )
% 0.77/1.15 }.
% 0.77/1.15 { ! alpha44( X ), ssList( X ) }.
% 0.77/1.15 { ! alpha44( X ), neq( X, nil ) }.
% 0.77/1.15 { ! ssList( X ), ! neq( X, nil ), alpha44( X ) }.
% 0.77/1.15
% 0.77/1.15 *** allocated 15000 integers for clauses
% 0.77/1.15 percentage equality = 0.126597, percentage horn = 0.760274
% 0.77/1.15 This is a problem with some equality
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15
% 0.77/1.15 Options Used:
% 0.77/1.15
% 0.77/1.15 useres = 1
% 0.77/1.15 useparamod = 1
% 0.77/1.15 useeqrefl = 1
% 0.77/1.15 useeqfact = 1
% 0.77/1.15 usefactor = 1
% 0.77/1.15 usesimpsplitting = 0
% 0.77/1.15 usesimpdemod = 5
% 0.77/1.15 usesimpres = 3
% 0.77/1.15
% 0.77/1.15 resimpinuse = 1000
% 0.77/1.15 resimpclauses = 20000
% 0.77/1.15 substype = eqrewr
% 0.77/1.15 backwardsubs = 1
% 0.77/1.15 selectoldest = 5
% 0.77/1.15
% 0.77/1.15 litorderings [0] = split
% 0.77/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.77/1.15
% 0.77/1.15 termordering = kbo
% 0.77/1.15
% 0.77/1.15 litapriori = 0
% 0.77/1.15 termapriori = 1
% 0.77/1.15 litaposteriori = 0
% 0.77/1.15 termaposteriori = 0
% 0.77/1.15 demodaposteriori = 0
% 0.77/1.15 ordereqreflfact = 0
% 0.77/1.15
% 0.77/1.15 litselect = negord
% 0.77/1.15
% 0.77/1.15 maxweight = 15
% 0.77/1.15 maxdepth = 30000
% 0.77/1.15 maxlength = 115
% 0.77/1.15 maxnrvars = 195
% 0.77/1.15 excuselevel = 1
% 0.77/1.15 increasemaxweight = 1
% 0.77/1.15
% 0.77/1.15 maxselected = 10000000
% 0.77/1.15 maxnrclauses = 10000000
% 0.77/1.15
% 0.77/1.15 showgenerated = 0
% 0.77/1.15 showkept = 0
% 0.77/1.15 showselected = 0
% 0.77/1.15 showdeleted = 0
% 0.77/1.15 showresimp = 1
% 0.77/1.15 showstatus = 2000
% 0.77/1.15
% 0.77/1.15 prologoutput = 0
% 0.77/1.15 nrgoals = 5000000
% 0.77/1.15 totalproof = 1
% 0.77/1.15
% 0.77/1.15 Symbols occurring in the translation:
% 0.77/1.15
% 0.77/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.77/1.15 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.77/1.15 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.77/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.77/1.15 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.77/1.15 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.77/1.15 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.77/1.63 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.77/1.63 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.77/1.63 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.77/1.63 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.77/1.63 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.77/1.63 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.77/1.63 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.77/1.63 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.77/1.63 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.77/1.63 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.77/1.63 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.77/1.63 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.77/1.63 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.77/1.63 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.77/1.63 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.77/1.63 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.77/1.63 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.77/1.63 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.77/1.63 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.77/1.63 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.77/1.63 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.77/1.63 alpha1 [65, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.77/1.63 alpha2 [66, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.77/1.63 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.77/1.63 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.77/1.63 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.77/1.63 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.77/1.63 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.77/1.63 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.77/1.63 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.77/1.63 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.77/1.63 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.77/1.63 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.77/1.63 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.77/1.63 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.77/1.63 alpha15 [79, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.77/1.63 alpha16 [80, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.77/1.63 alpha17 [81, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.77/1.63 alpha18 [82, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.77/1.63 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.77/1.63 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.77/1.63 alpha21 [85, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.77/1.63 alpha22 [86, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.77/1.63 alpha23 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.77/1.63 alpha24 [88, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.77/1.63 alpha25 [89, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.77/1.63 alpha26 [90, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.77/1.63 alpha27 [91, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.77/1.63 alpha28 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.77/1.63 alpha29 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.77/1.63 alpha30 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.77/1.63 alpha31 [95, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.77/1.63 alpha32 [96, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.77/1.63 alpha33 [97, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.77/1.63 alpha34 [98, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.77/1.63 alpha35 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.77/1.63 alpha36 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.77/1.63 alpha37 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.77/1.63 alpha38 [102, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.77/1.63 alpha39 [103, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.77/1.63 alpha40 [104, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.77/1.63 alpha41 [105, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.77/1.63 alpha42 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.77/1.63 alpha43 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.77/1.63 alpha44 [108, 1] (w:1, o:48, a:1, s:1, b:1),
% 0.77/1.63 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.77/1.63 skol1 [110, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.77/1.63 skol2 [111, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.77/1.63 skol3 [112, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.77/1.63 skol4 [113, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.77/1.63 skol5 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.77/1.63 skol6 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.77/1.63 skol7 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.77/1.63 skol8 [117, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.77/1.63 skol9 [118, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.77/1.63 skol10 [119, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.77/1.63 skol11 [120, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.77/1.63 skol12 [121, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.77/1.63 skol13 [122, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.77/1.63 skol14 [123, 1] (w:1, o:34, a:1, s:1, b:1),
% 3.52/3.90 skol15 [124, 2] (w:1, o:100, a:1, s:1, b:1),
% 3.52/3.90 skol16 [125, 3] (w:1, o:125, a:1, s:1, b:1),
% 3.52/3.90 skol17 [126, 4] (w:1, o:137, a:1, s:1, b:1),
% 3.52/3.90 skol18 [127, 5] (w:1, o:151, a:1, s:1, b:1),
% 3.52/3.90 skol19 [128, 1] (w:1, o:35, a:1, s:1, b:1),
% 3.52/3.90 skol20 [129, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.52/3.90 skol21 [130, 3] (w:1, o:120, a:1, s:1, b:1),
% 3.52/3.90 skol22 [131, 4] (w:1, o:138, a:1, s:1, b:1),
% 3.52/3.90 skol23 [132, 5] (w:1, o:152, a:1, s:1, b:1),
% 3.52/3.90 skol24 [133, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.52/3.90 skol25 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 3.52/3.90 skol26 [135, 3] (w:1, o:121, a:1, s:1, b:1),
% 3.52/3.90 skol27 [136, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.52/3.90 skol28 [137, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.52/3.90 skol29 [138, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.52/3.90 skol30 [139, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.52/3.90 skol31 [140, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.52/3.90 skol32 [141, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.52/3.90 skol33 [142, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.52/3.90 skol34 [143, 1] (w:1, o:30, a:1, s:1, b:1),
% 3.52/3.90 skol35 [144, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.52/3.90 skol36 [145, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.52/3.90 skol37 [146, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.52/3.90 skol38 [147, 5] (w:1, o:155, a:1, s:1, b:1),
% 3.52/3.90 skol39 [148, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.52/3.90 skol40 [149, 2] (w:1, o:102, a:1, s:1, b:1),
% 3.52/3.90 skol41 [150, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.52/3.90 skol42 [151, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.52/3.90 skol43 [152, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.52/3.90 skol44 [153, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.52/3.90 skol45 [154, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.52/3.90 skol46 [155, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.52/3.90 skol47 [156, 2] (w:1, o:103, a:1, s:1, b:1),
% 3.52/3.90 skol48 [157, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.52/3.90 skol49 [158, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.52/3.90 skol50 [159, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.52/3.90 skol51 [160, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.52/3.90 skol52 [161, 0] (w:1, o:18, a:1, s:1, b:1).
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Starting Search:
% 3.52/3.90
% 3.52/3.90 *** allocated 22500 integers for clauses
% 3.52/3.90 *** allocated 33750 integers for clauses
% 3.52/3.90 *** allocated 50625 integers for clauses
% 3.52/3.90 *** allocated 22500 integers for termspace/termends
% 3.52/3.90 *** allocated 75937 integers for clauses
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 33750 integers for termspace/termends
% 3.52/3.90 *** allocated 113905 integers for clauses
% 3.52/3.90 *** allocated 50625 integers for termspace/termends
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 3729
% 3.52/3.90 Kept: 2021
% 3.52/3.90 Inuse: 215
% 3.52/3.90 Deleted: 6
% 3.52/3.90 Deletedinuse: 1
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 170857 integers for clauses
% 3.52/3.90 *** allocated 75937 integers for termspace/termends
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 256285 integers for clauses
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 6852
% 3.52/3.90 Kept: 4030
% 3.52/3.90 Inuse: 376
% 3.52/3.90 Deleted: 12
% 3.52/3.90 Deletedinuse: 7
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 113905 integers for termspace/termends
% 3.52/3.90 *** allocated 384427 integers for clauses
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 10197
% 3.52/3.90 Kept: 6055
% 3.52/3.90 Inuse: 506
% 3.52/3.90 Deleted: 24
% 3.52/3.90 Deletedinuse: 19
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 170857 integers for termspace/termends
% 3.52/3.90 *** allocated 576640 integers for clauses
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 13305
% 3.52/3.90 Kept: 8091
% 3.52/3.90 Inuse: 610
% 3.52/3.90 Deleted: 38
% 3.52/3.90 Deletedinuse: 33
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 16758
% 3.52/3.90 Kept: 10292
% 3.52/3.90 Inuse: 676
% 3.52/3.90 Deleted: 38
% 3.52/3.90 Deletedinuse: 33
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 256285 integers for termspace/termends
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 864960 integers for clauses
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 21125
% 3.52/3.90 Kept: 12324
% 3.52/3.90 Inuse: 746
% 3.52/3.90 Deleted: 44
% 3.52/3.90 Deletedinuse: 39
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 29745
% 3.52/3.90 Kept: 14513
% 3.52/3.90 Inuse: 785
% 3.52/3.90 Deleted: 54
% 3.52/3.90 Deletedinuse: 48
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 384427 integers for termspace/termends
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 36520
% 3.52/3.90 Kept: 16521
% 3.52/3.90 Inuse: 848
% 3.52/3.90 Deleted: 78
% 3.52/3.90 Deletedinuse: 70
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 1297440 integers for clauses
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 44782
% 3.52/3.90 Kept: 18631
% 3.52/3.90 Inuse: 902
% 3.52/3.90 Deleted: 98
% 3.52/3.90 Deletedinuse: 74
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying clauses:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 55986
% 3.52/3.90 Kept: 20949
% 3.52/3.90 Inuse: 937
% 3.52/3.90 Deleted: 1901
% 3.52/3.90 Deletedinuse: 75
% 3.52/3.90
% 3.52/3.90 *** allocated 576640 integers for termspace/termends
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 64837
% 3.52/3.90 Kept: 22971
% 3.52/3.90 Inuse: 973
% 3.52/3.90 Deleted: 1905
% 3.52/3.90 Deletedinuse: 76
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 72678
% 3.52/3.90 Kept: 25328
% 3.52/3.90 Inuse: 1024
% 3.52/3.90 Deleted: 1905
% 3.52/3.90 Deletedinuse: 76
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 81388
% 3.52/3.90 Kept: 27360
% 3.52/3.90 Inuse: 1054
% 3.52/3.90 Deleted: 1907
% 3.52/3.90 Deletedinuse: 78
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 1946160 integers for clauses
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 90233
% 3.52/3.90 Kept: 29387
% 3.52/3.90 Inuse: 1079
% 3.52/3.90 Deleted: 1907
% 3.52/3.90 Deletedinuse: 78
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 *** allocated 864960 integers for termspace/termends
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 100413
% 3.52/3.90 Kept: 31399
% 3.52/3.90 Inuse: 1111
% 3.52/3.90 Deleted: 1913
% 3.52/3.90 Deletedinuse: 81
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 107358
% 3.52/3.90 Kept: 33435
% 3.52/3.90 Inuse: 1160
% 3.52/3.90 Deleted: 1914
% 3.52/3.90 Deletedinuse: 81
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 116927
% 3.52/3.90 Kept: 35443
% 3.52/3.90 Inuse: 1271
% 3.52/3.90 Deleted: 1931
% 3.52/3.90 Deletedinuse: 86
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 133565
% 3.52/3.90 Kept: 37533
% 3.52/3.90 Inuse: 1309
% 3.52/3.90 Deleted: 1943
% 3.52/3.90 Deletedinuse: 86
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Intermediate Status:
% 3.52/3.90 Generated: 140840
% 3.52/3.90 Kept: 39562
% 3.52/3.90 Inuse: 1331
% 3.52/3.90 Deleted: 1943
% 3.52/3.90 Deletedinuse: 86
% 3.52/3.90
% 3.52/3.90 Resimplifying inuse:
% 3.52/3.90 Done
% 3.52/3.90
% 3.52/3.90 Resimplifying clauses:
% 3.52/3.90
% 3.52/3.90 Bliksems!, er is een bewijs:
% 3.52/3.90 % SZS status Theorem
% 3.52/3.90 % SZS output start Refutation
% 3.52/3.90
% 3.52/3.90 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.52/3.90 , ! X = Y }.
% 3.52/3.90 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.52/3.90 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.52/3.90 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.52/3.90 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 3.52/3.90 (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! frontsegP
% 3.52/3.90 ( skol50, X ), ! frontsegP( skol46, X ) }.
% 3.52/3.90 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==> nil, alpha45
% 3.52/3.90 ( skol46, skol50 ) }.
% 3.52/3.90 (285) {G0,W7,D3,L2,V4,M2} I { ! alpha45( X, Y ), alpha44( skol47( Z, T ) )
% 3.52/3.90 }.
% 3.52/3.90 (286) {G0,W8,D3,L2,V3,M2} I { ! alpha45( X, Y ), frontsegP( Y, skol47( Z, Y
% 3.52/3.90 ) ) }.
% 3.52/3.90 (287) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), frontsegP( X, skol47( X, Y
% 3.52/3.90 ) ) }.
% 3.52/3.90 (289) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 3.52/3.90 (290) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 3.52/3.90 (326) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 3.52/3.90 (710) {G2,W3,D2,L1,V0,M1} R(326,161) { ! neq( nil, nil ) }.
% 3.52/3.90 (1074) {G3,W3,D2,L1,V0,M1} P(283,281);r(710) { alpha45( skol46, skol50 )
% 3.52/3.90 }.
% 3.52/3.90 (32710) {G4,W4,D3,L1,V2,M1} R(285,1074) { alpha44( skol47( X, Y ) ) }.
% 3.52/3.90 (32758) {G5,W5,D3,L1,V2,M1} R(32710,290) { neq( skol47( X, Y ), nil ) }.
% 3.52/3.90 (32759) {G5,W4,D3,L1,V2,M1} R(32710,289) { ssList( skol47( X, Y ) ) }.
% 3.52/3.90 (32936) {G4,W5,D3,L1,V1,M1} R(286,1074) { frontsegP( skol50, skol47( X,
% 3.52/3.90 skol50 ) ) }.
% 3.52/3.90 (33052) {G4,W5,D3,L1,V0,M1} R(287,1074) { frontsegP( skol46, skol47( skol46
% 3.52/3.90 , skol50 ) ) }.
% 3.52/3.90 (33260) {G6,W10,D3,L2,V0,M2} R(33052,282);r(32759) { ! neq( skol47( skol46
% 3.52/3.90 , skol50 ), nil ), ! frontsegP( skol50, skol47( skol46, skol50 ) ) }.
% 3.52/3.90 (40480) {G7,W0,D0,L0,V0,M0} S(33260);r(32758);r(32936) { }.
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 % SZS output end Refutation
% 3.52/3.90 found a proof!
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Unprocessed initial clauses:
% 3.52/3.90
% 3.52/3.90 (40482) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.52/3.90 , ! X = Y }.
% 3.52/3.90 (40483) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40484) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.52/3.90 (40485) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 3.52/3.90 (40486) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 3.52/3.90 (40487) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.52/3.90 , Y ), ssList( skol2( Z, T ) ) }.
% 3.52/3.90 (40488) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.52/3.90 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.52/3.90 (40489) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.52/3.90 (40490) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.52/3.90 ) ) }.
% 3.52/3.90 (40491) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.52/3.90 ( X, Y, Z ) ) ) = X }.
% 3.52/3.90 (40492) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.52/3.90 , alpha1( X, Y, Z ) }.
% 3.52/3.90 (40493) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.52/3.90 skol4( Y ) ) }.
% 3.52/3.90 (40494) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.52/3.90 skol4( X ), nil ) = X }.
% 3.52/3.90 (40495) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.52/3.90 nil ) = X, singletonP( X ) }.
% 3.52/3.90 (40496) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.52/3.90 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.52/3.90 (40497) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.52/3.90 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.52/3.90 (40498) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.52/3.90 (40499) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.52/3.90 , Y ), ssList( skol6( Z, T ) ) }.
% 3.52/3.90 (40500) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.52/3.90 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.52/3.90 (40501) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.52/3.90 (40502) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.52/3.90 , Y ), ssList( skol7( Z, T ) ) }.
% 3.52/3.90 (40503) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.52/3.90 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.52/3.90 (40504) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.52/3.90 (40505) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.52/3.90 ) ) }.
% 3.52/3.90 (40506) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.52/3.90 skol8( X, Y, Z ) ) = X }.
% 3.52/3.90 (40507) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.52/3.90 , alpha2( X, Y, Z ) }.
% 3.52/3.90 (40508) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.52/3.90 Y ), alpha3( X, Y ) }.
% 3.52/3.90 (40509) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.52/3.90 cyclefreeP( X ) }.
% 3.52/3.90 (40510) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.52/3.90 cyclefreeP( X ) }.
% 3.52/3.90 (40511) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40512) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.52/3.90 (40513) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40514) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha28( X, Y, Z, T ) }.
% 3.52/3.90 (40515) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40516) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.52/3.90 alpha21( X, Y, Z ) }.
% 3.52/3.90 (40517) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha35( X, Y, Z, T, U ) }.
% 3.52/3.90 (40518) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40519) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.52/3.90 ), alpha28( X, Y, Z, T ) }.
% 3.52/3.90 (40520) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha41( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40521) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha35( X, Y, Z, T, U ) }.
% 3.52/3.90 (40522) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.52/3.90 (40523) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.52/3.90 (40524) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40525) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.52/3.90 W ) }.
% 3.52/3.90 (40526) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.52/3.90 X ) }.
% 3.52/3.90 (40527) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.52/3.90 (40528) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.52/3.90 (40529) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.52/3.90 ( Y ), alpha4( X, Y ) }.
% 3.52/3.90 (40530) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.52/3.90 totalorderP( X ) }.
% 3.52/3.90 (40531) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.52/3.90 totalorderP( X ) }.
% 3.52/3.90 (40532) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40533) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.52/3.90 (40534) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40535) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha29( X, Y, Z, T ) }.
% 3.52/3.90 (40536) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40537) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.52/3.90 alpha22( X, Y, Z ) }.
% 3.52/3.90 (40538) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha36( X, Y, Z, T, U ) }.
% 3.52/3.90 (40539) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40540) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.52/3.90 ), alpha29( X, Y, Z, T ) }.
% 3.52/3.90 (40541) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha42( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40542) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha36( X, Y, Z, T, U ) }.
% 3.52/3.90 (40543) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.52/3.90 (40544) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.52/3.90 (40545) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40546) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.52/3.90 W ) }.
% 3.52/3.90 (40547) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.52/3.90 }.
% 3.52/3.90 (40548) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.52/3.90 (40549) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.52/3.90 (40550) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.52/3.90 ( Y ), alpha5( X, Y ) }.
% 3.52/3.90 (40551) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.52/3.90 strictorderP( X ) }.
% 3.52/3.90 (40552) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.52/3.90 strictorderP( X ) }.
% 3.52/3.90 (40553) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40554) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.52/3.90 (40555) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40556) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha30( X, Y, Z, T ) }.
% 3.52/3.90 (40557) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40558) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.52/3.90 alpha23( X, Y, Z ) }.
% 3.52/3.90 (40559) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha37( X, Y, Z, T, U ) }.
% 3.52/3.90 (40560) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40561) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.52/3.90 ), alpha30( X, Y, Z, T ) }.
% 3.52/3.90 (40562) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha43( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40563) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha37( X, Y, Z, T, U ) }.
% 3.52/3.90 (40564) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.52/3.90 (40565) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.52/3.90 (40566) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40567) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.52/3.90 W ) }.
% 3.52/3.90 (40568) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.52/3.90 }.
% 3.52/3.90 (40569) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.52/3.90 (40570) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.52/3.90 (40571) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.52/3.90 ssItem( Y ), alpha6( X, Y ) }.
% 3.52/3.90 (40572) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.52/3.90 totalorderedP( X ) }.
% 3.52/3.90 (40573) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.52/3.90 totalorderedP( X ) }.
% 3.52/3.90 (40574) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40575) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.52/3.90 (40576) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40577) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha24( X, Y, Z, T ) }.
% 3.52/3.90 (40578) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40579) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.52/3.90 alpha15( X, Y, Z ) }.
% 3.52/3.90 (40580) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha31( X, Y, Z, T, U ) }.
% 3.52/3.90 (40581) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40582) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.52/3.90 ), alpha24( X, Y, Z, T ) }.
% 3.52/3.90 (40583) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha38( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40584) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha31( X, Y, Z, T, U ) }.
% 3.52/3.90 (40585) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.52/3.90 (40586) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.52/3.90 (40587) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40588) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.52/3.90 }.
% 3.52/3.90 (40589) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.52/3.90 ssItem( Y ), alpha7( X, Y ) }.
% 3.52/3.90 (40590) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.52/3.90 strictorderedP( X ) }.
% 3.52/3.90 (40591) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.52/3.90 strictorderedP( X ) }.
% 3.52/3.90 (40592) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40593) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.52/3.90 (40594) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40595) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha25( X, Y, Z, T ) }.
% 3.52/3.90 (40596) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40597) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.52/3.90 alpha16( X, Y, Z ) }.
% 3.52/3.90 (40598) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha32( X, Y, Z, T, U ) }.
% 3.52/3.90 (40599) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40600) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.52/3.90 ), alpha25( X, Y, Z, T ) }.
% 3.52/3.90 (40601) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha39( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40602) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha32( X, Y, Z, T, U ) }.
% 3.52/3.90 (40603) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.52/3.90 (40604) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.52/3.90 (40605) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40606) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.52/3.90 }.
% 3.52/3.90 (40607) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.52/3.90 ssItem( Y ), alpha8( X, Y ) }.
% 3.52/3.90 (40608) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.52/3.90 duplicatefreeP( X ) }.
% 3.52/3.90 (40609) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.52/3.90 duplicatefreeP( X ) }.
% 3.52/3.90 (40610) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40611) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.52/3.90 (40612) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40613) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha26( X, Y, Z, T ) }.
% 3.52/3.90 (40614) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40615) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.52/3.90 alpha17( X, Y, Z ) }.
% 3.52/3.90 (40616) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha33( X, Y, Z, T, U ) }.
% 3.52/3.90 (40617) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40618) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.52/3.90 ), alpha26( X, Y, Z, T ) }.
% 3.52/3.90 (40619) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.52/3.90 alpha40( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40620) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.52/3.90 alpha33( X, Y, Z, T, U ) }.
% 3.52/3.90 (40621) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.52/3.90 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.52/3.90 (40622) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.52/3.90 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.52/3.90 (40623) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.52/3.90 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40624) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.52/3.90 (40625) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.52/3.90 ( Y ), alpha9( X, Y ) }.
% 3.52/3.90 (40626) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.52/3.90 equalelemsP( X ) }.
% 3.52/3.90 (40627) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.52/3.90 equalelemsP( X ) }.
% 3.52/3.90 (40628) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 (40629) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.52/3.90 (40630) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40631) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.52/3.90 alpha27( X, Y, Z, T ) }.
% 3.52/3.90 (40632) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.52/3.90 Z ) }.
% 3.52/3.90 (40633) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.52/3.90 alpha18( X, Y, Z ) }.
% 3.52/3.90 (40634) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.52/3.90 alpha34( X, Y, Z, T, U ) }.
% 3.52/3.90 (40635) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.52/3.90 X, Y, Z, T ) }.
% 3.52/3.90 (40636) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.52/3.90 ), alpha27( X, Y, Z, T ) }.
% 3.52/3.90 (40637) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.52/3.90 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.52/3.90 (40638) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.52/3.90 alpha34( X, Y, Z, T, U ) }.
% 3.52/3.90 (40639) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.52/3.90 (40640) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.52/3.90 , ! X = Y }.
% 3.52/3.90 (40641) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 (40642) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.52/3.90 Y, X ) ) }.
% 3.52/3.90 (40643) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.52/3.90 (40644) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.52/3.90 = X }.
% 3.52/3.90 (40645) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.52/3.90 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.52/3.90 (40646) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.52/3.90 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.52/3.90 (40647) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.52/3.90 ) }.
% 3.52/3.90 (40648) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 3.52/3.90 ) }.
% 3.52/3.90 (40649) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 3.52/3.90 skol43( X ) ) = X }.
% 3.52/3.90 (40650) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.52/3.90 Y, X ) }.
% 3.52/3.90 (40651) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.52/3.90 }.
% 3.52/3.90 (40652) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.52/3.90 X ) ) = Y }.
% 3.52/3.90 (40653) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.52/3.90 }.
% 3.52/3.90 (40654) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.52/3.90 X ) ) = X }.
% 3.52/3.90 (40655) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.52/3.90 , Y ) ) }.
% 3.52/3.90 (40656) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.52/3.90 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.52/3.90 (40657) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.52/3.90 (40658) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.52/3.90 , ! leq( Y, X ), X = Y }.
% 3.52/3.90 (40659) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.52/3.90 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.52/3.90 (40660) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.52/3.90 (40661) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.52/3.90 , leq( Y, X ) }.
% 3.52/3.90 (40662) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.52/3.90 , geq( X, Y ) }.
% 3.52/3.90 (40663) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.52/3.90 , ! lt( Y, X ) }.
% 3.52/3.90 (40664) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.52/3.90 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.52/3.90 (40665) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.52/3.90 , lt( Y, X ) }.
% 3.52/3.90 (40666) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.52/3.90 , gt( X, Y ) }.
% 3.52/3.90 (40667) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.52/3.90 (40668) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.52/3.90 (40669) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.52/3.90 (40670) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.52/3.90 (40671) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.52/3.90 (40672) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.52/3.90 (40673) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.52/3.90 (40674) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.52/3.90 (40675) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.52/3.90 (40676) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.52/3.90 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.52/3.90 (40677) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.52/3.90 (40678) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.52/3.90 (40679) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.52/3.90 (40680) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.52/3.90 , T ) }.
% 3.52/3.90 (40681) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.52/3.90 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.52/3.90 cons( Y, T ) ) }.
% 3.52/3.90 (40682) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.52/3.90 (40683) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.52/3.90 X }.
% 3.52/3.90 (40684) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.52/3.90 ) }.
% 3.52/3.90 (40685) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.52/3.90 (40686) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.52/3.90 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.52/3.90 (40687) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.52/3.90 (40688) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.52/3.90 (40689) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.52/3.90 (40690) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.52/3.90 }.
% 3.52/3.90 (40691) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.52/3.90 }.
% 3.52/3.90 (40692) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.52/3.90 (40693) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.52/3.90 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.52/3.90 (40694) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.52/3.90 (40695) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.52/3.90 }.
% 3.52/3.90 (40696) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.52/3.90 (40697) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.52/3.90 }.
% 3.52/3.90 (40698) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.52/3.90 }.
% 3.52/3.90 (40699) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.52/3.90 }.
% 3.52/3.90 (40700) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.52/3.90 (40701) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.52/3.90 }.
% 3.52/3.90 (40702) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.52/3.90 (40703) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.52/3.90 ) }.
% 3.52/3.90 (40704) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.52/3.90 (40705) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.52/3.90 ) }.
% 3.52/3.90 (40706) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.52/3.90 (40707) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.52/3.90 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.52/3.90 (40708) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.52/3.90 totalorderedP( cons( X, Y ) ) }.
% 3.52/3.90 (40709) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.52/3.90 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.52/3.90 (40710) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.52/3.90 (40711) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.52/3.90 (40712) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.52/3.90 }.
% 3.52/3.90 (40713) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.52/3.90 (40714) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.52/3.90 (40715) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.52/3.90 alpha19( X, Y ) }.
% 3.52/3.90 (40716) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.52/3.90 ) ) }.
% 3.52/3.90 (40717) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.52/3.90 (40718) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.52/3.90 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.52/3.90 (40719) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.52/3.90 strictorderedP( cons( X, Y ) ) }.
% 3.52/3.90 (40720) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.52/3.90 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.52/3.90 (40721) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.52/3.90 (40722) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.52/3.90 (40723) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.52/3.90 }.
% 3.52/3.90 (40724) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.52/3.90 (40725) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.52/3.90 (40726) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.52/3.90 alpha20( X, Y ) }.
% 3.52/3.90 (40727) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.52/3.90 ) ) }.
% 3.52/3.90 (40728) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.52/3.90 (40729) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.52/3.90 }.
% 3.52/3.90 (40730) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.52/3.90 (40731) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.52/3.90 ) }.
% 3.52/3.90 (40732) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.52/3.90 ) }.
% 3.52/3.90 (40733) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.52/3.90 ) }.
% 3.52/3.90 (40734) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.52/3.90 ) }.
% 3.52/3.90 (40735) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.52/3.90 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.52/3.90 (40736) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.52/3.90 X ) ) = X }.
% 3.52/3.90 (40737) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.52/3.90 (40738) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.52/3.90 (40739) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.52/3.90 = app( cons( Y, nil ), X ) }.
% 3.52/3.90 (40740) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.52/3.90 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.52/3.90 (40741) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.52/3.90 X, Y ), nil = Y }.
% 3.52/3.90 (40742) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.52/3.90 X, Y ), nil = X }.
% 3.52/3.90 (40743) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.52/3.90 nil = X, nil = app( X, Y ) }.
% 3.52/3.90 (40744) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.52/3.90 (40745) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.52/3.90 app( X, Y ) ) = hd( X ) }.
% 3.52/3.90 (40746) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.52/3.90 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.52/3.90 (40747) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.52/3.90 , ! geq( Y, X ), X = Y }.
% 3.52/3.90 (40748) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.52/3.90 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.52/3.90 (40749) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.52/3.90 (40750) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.52/3.90 (40751) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.52/3.90 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.52/3.90 (40752) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.52/3.90 , X = Y, lt( X, Y ) }.
% 3.52/3.90 (40753) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.52/3.90 , ! X = Y }.
% 3.52/3.90 (40754) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.52/3.90 , leq( X, Y ) }.
% 3.52/3.90 (40755) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.52/3.90 ( X, Y ), lt( X, Y ) }.
% 3.52/3.90 (40756) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.52/3.90 , ! gt( Y, X ) }.
% 3.52/3.90 (40757) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.52/3.90 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.52/3.90 (40758) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.52/3.90 (40759) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.52/3.90 (40760) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.52/3.90 (40761) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.52/3.90 (40762) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 3.52/3.90 (40763) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 3.52/3.90 (40764) {G0,W3,D2,L1,V0,M1} { neq( skol50, nil ) }.
% 3.52/3.90 (40765) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! frontsegP
% 3.52/3.90 ( skol50, X ), ! frontsegP( skol46, X ) }.
% 3.52/3.90 (40766) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ), nil = skol52 }.
% 3.52/3.90 (40767) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ), nil = skol51 }.
% 3.52/3.90 (40768) {G0,W7,D3,L2,V4,M2} { ! alpha45( X, Y ), alpha44( skol47( Z, T ) )
% 3.52/3.90 }.
% 3.52/3.90 (40769) {G0,W8,D3,L2,V3,M2} { ! alpha45( X, Y ), frontsegP( Y, skol47( Z,
% 3.52/3.90 Y ) ) }.
% 3.52/3.90 (40770) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), frontsegP( X, skol47( X,
% 3.52/3.90 Y ) ) }.
% 3.52/3.90 (40771) {G0,W11,D2,L4,V3,M4} { ! alpha44( Z ), ! frontsegP( Y, Z ), !
% 3.52/3.90 frontsegP( X, Z ), alpha45( X, Y ) }.
% 3.52/3.90 (40772) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 3.52/3.90 (40773) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 3.52/3.90 (40774) {G0,W7,D2,L3,V1,M3} { ! ssList( X ), ! neq( X, nil ), alpha44( X )
% 3.52/3.90 }.
% 3.52/3.90
% 3.52/3.90
% 3.52/3.90 Total Proof:
% 3.52/3.90
% 3.52/3.90 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.52/3.90 neq( X, Y ), ! X = Y }.
% 3.52/3.90 parent0: (40640) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 3.52/3.90 neq( X, Y ), ! X = Y }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.52/3.90 parent0: (40643) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 eqswap: (41261) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 3.52/3.90 parent0[0]: (40762) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.52/3.90 parent0: (41261) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 eqswap: (41609) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 3.52/3.90 parent0[0]: (40763) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.52/3.92 parent0: (41609) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 3.52/3.92 parent0: (40764) {G0,W3,D2,L1,V0,M1} { neq( skol50, nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 3.52/3.92 , ! frontsegP( skol50, X ), ! frontsegP( skol46, X ) }.
% 3.52/3.92 parent0: (40765) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 3.52/3.92 frontsegP( skol50, X ), ! frontsegP( skol46, X ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 2 ==> 2
% 3.52/3.92 3 ==> 3
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 paramod: (43520) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol52 ), nil =
% 3.52/3.92 skol52 }.
% 3.52/3.92 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.52/3.92 parent1[0; 1]: (40766) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ),
% 3.52/3.92 nil = skol52 }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 paramod: (43522) {G1,W6,D2,L2,V0,M2} { nil = skol50, alpha45( skol46,
% 3.52/3.92 skol52 ) }.
% 3.52/3.92 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.52/3.92 parent1[1; 2]: (43520) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol52 ),
% 3.52/3.92 nil = skol52 }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 paramod: (43524) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol50 ), nil =
% 3.52/3.92 skol50 }.
% 3.52/3.92 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.52/3.92 parent1[1; 2]: (43522) {G1,W6,D2,L2,V0,M2} { nil = skol50, alpha45( skol46
% 3.52/3.92 , skol52 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 eqswap: (43525) {G1,W6,D2,L2,V0,M2} { skol50 = nil, alpha45( skol46,
% 3.52/3.92 skol50 ) }.
% 3.52/3.92 parent0[1]: (43524) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol50 ), nil =
% 3.52/3.92 skol50 }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==>
% 3.52/3.92 nil, alpha45( skol46, skol50 ) }.
% 3.52/3.92 parent0: (43525) {G1,W6,D2,L2,V0,M2} { skol50 = nil, alpha45( skol46,
% 3.52/3.92 skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (285) {G0,W7,D3,L2,V4,M2} I { ! alpha45( X, Y ), alpha44(
% 3.52/3.92 skol47( Z, T ) ) }.
% 3.52/3.92 parent0: (40768) {G0,W7,D3,L2,V4,M2} { ! alpha45( X, Y ), alpha44( skol47
% 3.52/3.92 ( Z, T ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 Z := Z
% 3.52/3.92 T := T
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (286) {G0,W8,D3,L2,V3,M2} I { ! alpha45( X, Y ), frontsegP( Y
% 3.52/3.92 , skol47( Z, Y ) ) }.
% 3.52/3.92 parent0: (40769) {G0,W8,D3,L2,V3,M2} { ! alpha45( X, Y ), frontsegP( Y,
% 3.52/3.92 skol47( Z, Y ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 Z := Z
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (287) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), frontsegP( X
% 3.52/3.92 , skol47( X, Y ) ) }.
% 3.52/3.92 parent0: (40770) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), frontsegP( X,
% 3.52/3.92 skol47( X, Y ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (289) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 3.52/3.92 parent0: (40772) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (290) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil )
% 3.52/3.92 }.
% 3.52/3.92 parent0: (40773) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 eqswap: (45278) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 3.52/3.92 ), ! neq( X, Y ) }.
% 3.52/3.92 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.52/3.92 neq( X, Y ), ! X = Y }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 factor: (45279) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 3.52/3.92 ) }.
% 3.52/3.92 parent0[1, 2]: (45278) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 3.52/3.92 ssList( Y ), ! neq( X, Y ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := X
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 eqrefl: (45280) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 3.52/3.92 parent0[0]: (45279) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 3.52/3.92 , X ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (326) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 3.52/3.92 X ) }.
% 3.52/3.92 parent0: (45280) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45281) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 3.52/3.92 parent0[0]: (326) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 3.52/3.92 ) }.
% 3.52/3.92 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := nil
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (710) {G2,W3,D2,L1,V0,M1} R(326,161) { ! neq( nil, nil ) }.
% 3.52/3.92 parent0: (45281) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 *** allocated 2919240 integers for clauses
% 3.52/3.92 paramod: (45283) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha45( skol46,
% 3.52/3.92 skol50 ) }.
% 3.52/3.92 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==>
% 3.52/3.92 nil, alpha45( skol46, skol50 ) }.
% 3.52/3.92 parent1[0; 1]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45294) {G2,W3,D2,L1,V0,M1} { alpha45( skol46, skol50 ) }.
% 3.52/3.92 parent0[0]: (710) {G2,W3,D2,L1,V0,M1} R(326,161) { ! neq( nil, nil ) }.
% 3.52/3.92 parent1[0]: (45283) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha45( skol46
% 3.52/3.92 , skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (1074) {G3,W3,D2,L1,V0,M1} P(283,281);r(710) { alpha45( skol46
% 3.52/3.92 , skol50 ) }.
% 3.52/3.92 parent0: (45294) {G2,W3,D2,L1,V0,M1} { alpha45( skol46, skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45295) {G1,W4,D3,L1,V2,M1} { alpha44( skol47( X, Y ) ) }.
% 3.52/3.92 parent0[0]: (285) {G0,W7,D3,L2,V4,M2} I { ! alpha45( X, Y ), alpha44(
% 3.52/3.92 skol47( Z, T ) ) }.
% 3.52/3.92 parent1[0]: (1074) {G3,W3,D2,L1,V0,M1} P(283,281);r(710) { alpha45( skol46
% 3.52/3.92 , skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol46
% 3.52/3.92 Y := skol50
% 3.52/3.92 Z := X
% 3.52/3.92 T := Y
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (32710) {G4,W4,D3,L1,V2,M1} R(285,1074) { alpha44( skol47( X,
% 3.52/3.92 Y ) ) }.
% 3.52/3.92 parent0: (45295) {G1,W4,D3,L1,V2,M1} { alpha44( skol47( X, Y ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45296) {G1,W5,D3,L1,V2,M1} { neq( skol47( X, Y ), nil ) }.
% 3.52/3.92 parent0[0]: (290) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 3.52/3.92 parent1[0]: (32710) {G4,W4,D3,L1,V2,M1} R(285,1074) { alpha44( skol47( X, Y
% 3.52/3.92 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol47( X, Y )
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (32758) {G5,W5,D3,L1,V2,M1} R(32710,290) { neq( skol47( X, Y )
% 3.52/3.92 , nil ) }.
% 3.52/3.92 parent0: (45296) {G1,W5,D3,L1,V2,M1} { neq( skol47( X, Y ), nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45297) {G1,W4,D3,L1,V2,M1} { ssList( skol47( X, Y ) ) }.
% 3.52/3.92 parent0[0]: (289) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 3.52/3.92 parent1[0]: (32710) {G4,W4,D3,L1,V2,M1} R(285,1074) { alpha44( skol47( X, Y
% 3.52/3.92 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol47( X, Y )
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (32759) {G5,W4,D3,L1,V2,M1} R(32710,289) { ssList( skol47( X,
% 3.52/3.92 Y ) ) }.
% 3.52/3.92 parent0: (45297) {G1,W4,D3,L1,V2,M1} { ssList( skol47( X, Y ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 Y := Y
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45298) {G1,W5,D3,L1,V1,M1} { frontsegP( skol50, skol47( X,
% 3.52/3.92 skol50 ) ) }.
% 3.52/3.92 parent0[0]: (286) {G0,W8,D3,L2,V3,M2} I { ! alpha45( X, Y ), frontsegP( Y,
% 3.52/3.92 skol47( Z, Y ) ) }.
% 3.52/3.92 parent1[0]: (1074) {G3,W3,D2,L1,V0,M1} P(283,281);r(710) { alpha45( skol46
% 3.52/3.92 , skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol46
% 3.52/3.92 Y := skol50
% 3.52/3.92 Z := X
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (32936) {G4,W5,D3,L1,V1,M1} R(286,1074) { frontsegP( skol50,
% 3.52/3.92 skol47( X, skol50 ) ) }.
% 3.52/3.92 parent0: (45298) {G1,W5,D3,L1,V1,M1} { frontsegP( skol50, skol47( X,
% 3.52/3.92 skol50 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := X
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45299) {G1,W5,D3,L1,V0,M1} { frontsegP( skol46, skol47(
% 3.52/3.92 skol46, skol50 ) ) }.
% 3.52/3.92 parent0[0]: (287) {G0,W8,D3,L2,V2,M2} I { ! alpha45( X, Y ), frontsegP( X,
% 3.52/3.92 skol47( X, Y ) ) }.
% 3.52/3.92 parent1[0]: (1074) {G3,W3,D2,L1,V0,M1} P(283,281);r(710) { alpha45( skol46
% 3.52/3.92 , skol50 ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol46
% 3.52/3.92 Y := skol50
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (33052) {G4,W5,D3,L1,V0,M1} R(287,1074) { frontsegP( skol46,
% 3.52/3.92 skol47( skol46, skol50 ) ) }.
% 3.52/3.92 parent0: (45299) {G1,W5,D3,L1,V0,M1} { frontsegP( skol46, skol47( skol46,
% 3.52/3.92 skol50 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45300) {G1,W14,D3,L3,V0,M3} { ! ssList( skol47( skol46,
% 3.52/3.92 skol50 ) ), ! neq( skol47( skol46, skol50 ), nil ), ! frontsegP( skol50,
% 3.52/3.92 skol47( skol46, skol50 ) ) }.
% 3.52/3.92 parent0[3]: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ),
% 3.52/3.92 ! frontsegP( skol50, X ), ! frontsegP( skol46, X ) }.
% 3.52/3.92 parent1[0]: (33052) {G4,W5,D3,L1,V0,M1} R(287,1074) { frontsegP( skol46,
% 3.52/3.92 skol47( skol46, skol50 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 X := skol47( skol46, skol50 )
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45301) {G2,W10,D3,L2,V0,M2} { ! neq( skol47( skol46, skol50 )
% 3.52/3.92 , nil ), ! frontsegP( skol50, skol47( skol46, skol50 ) ) }.
% 3.52/3.92 parent0[0]: (45300) {G1,W14,D3,L3,V0,M3} { ! ssList( skol47( skol46,
% 3.52/3.92 skol50 ) ), ! neq( skol47( skol46, skol50 ), nil ), ! frontsegP( skol50,
% 3.52/3.92 skol47( skol46, skol50 ) ) }.
% 3.52/3.92 parent1[0]: (32759) {G5,W4,D3,L1,V2,M1} R(32710,289) { ssList( skol47( X, Y
% 3.52/3.92 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 X := skol46
% 3.52/3.92 Y := skol50
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (33260) {G6,W10,D3,L2,V0,M2} R(33052,282);r(32759) { ! neq(
% 3.52/3.92 skol47( skol46, skol50 ), nil ), ! frontsegP( skol50, skol47( skol46,
% 3.52/3.92 skol50 ) ) }.
% 3.52/3.92 parent0: (45301) {G2,W10,D3,L2,V0,M2} { ! neq( skol47( skol46, skol50 ),
% 3.52/3.92 nil ), ! frontsegP( skol50, skol47( skol46, skol50 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 0 ==> 0
% 3.52/3.92 1 ==> 1
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45302) {G6,W5,D3,L1,V0,M1} { ! frontsegP( skol50, skol47(
% 3.52/3.92 skol46, skol50 ) ) }.
% 3.52/3.92 parent0[0]: (33260) {G6,W10,D3,L2,V0,M2} R(33052,282);r(32759) { ! neq(
% 3.52/3.92 skol47( skol46, skol50 ), nil ), ! frontsegP( skol50, skol47( skol46,
% 3.52/3.92 skol50 ) ) }.
% 3.52/3.92 parent1[0]: (32758) {G5,W5,D3,L1,V2,M1} R(32710,290) { neq( skol47( X, Y )
% 3.52/3.92 , nil ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 X := skol46
% 3.52/3.92 Y := skol50
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 resolution: (45303) {G5,W0,D0,L0,V0,M0} { }.
% 3.52/3.92 parent0[0]: (45302) {G6,W5,D3,L1,V0,M1} { ! frontsegP( skol50, skol47(
% 3.52/3.92 skol46, skol50 ) ) }.
% 3.52/3.92 parent1[0]: (32936) {G4,W5,D3,L1,V1,M1} R(286,1074) { frontsegP( skol50,
% 3.52/3.92 skol47( X, skol50 ) ) }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 substitution1:
% 3.52/3.92 X := skol46
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 subsumption: (40480) {G7,W0,D0,L0,V0,M0} S(33260);r(32758);r(32936) { }.
% 3.52/3.92 parent0: (45303) {G5,W0,D0,L0,V0,M0} { }.
% 3.52/3.92 substitution0:
% 3.52/3.92 end
% 3.52/3.92 permutation0:
% 3.52/3.92 end
% 3.52/3.92
% 3.52/3.92 Proof check complete!
% 3.52/3.92
% 3.52/3.92 Memory use:
% 3.52/3.92
% 3.52/3.92 space for terms: 717657
% 3.52/3.92 space for clauses: 1838861
% 3.52/3.92
% 3.52/3.92
% 3.52/3.92 clauses generated: 143369
% 3.52/3.92 clauses kept: 40481
% 3.52/3.92 clauses selected: 1337
% 3.52/3.92 clauses deleted: 2142
% 3.52/3.92 clauses inuse deleted: 86
% 3.52/3.92
% 3.52/3.92 subsentry: 220980
% 3.52/3.92 literals s-matched: 137776
% 3.52/3.92 literals matched: 116862
% 3.52/3.92 full subsumption: 60497
% 3.52/3.92
% 3.52/3.92 checksum: -1241692412
% 3.52/3.92
% 3.52/3.92
% 3.52/3.92 Bliksem ended
%------------------------------------------------------------------------------