%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC042+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 19:33:16 EDT 2022
% Result : Theorem 1.35s 1.71s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC042+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.33 % Computer : n019.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Sun Jun 12 06:46:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for termspace/termends
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ssItem( skol1 ) }.
% 0.73/1.12 { ssItem( skol47 ) }.
% 0.73/1.12 { ! skol1 = skol47 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.12 ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.12 = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.12 }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.12 segmentP( X, Y ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, leq( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, lt( Y, Z ) }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.12 .
% 0.73/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.12 , U ) }.
% 0.73/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.12 ) ) = X, ! Y = Z }.
% 0.73/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.12 W ) }.
% 0.73/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.12 Z }.
% 0.73/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.12 { ssList( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Z = T }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.12 ) = cons( T, Y ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.12 ( cons( Z, Y ), X ) }.
% 0.73/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.12 , leq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.12 lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 app( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.12 , X = Y, memberP( Z, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.12 ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.12 cons( Y, Z ), X ) }.
% 0.73/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.12 { ! singletonP( nil ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.12 = Y }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.12 ( app( Z, X ), Y ) }.
% 0.73/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.12 Y }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { cyclefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { totalorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha10( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.12 Y ) ) }.
% 0.73/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.12 { strictorderedP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.12 alpha11( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.12 .
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.12 , Y ) ) }.
% 0.73/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.12 { duplicatefreeP( nil ) }.
% 0.73/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.12 { equalelemsP( nil ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.12 ( Y ) = tl( X ), Y = X }.
% 0.73/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.12 , Z = X }.
% 0.73/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.12 ( X, app( Y, Z ) ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.12 Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.12 , geq( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.12 , lt( X, Z ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.12 gt( X, Z ) }.
% 0.73/1.12 { ssList( skol46 ) }.
% 0.73/1.12 { ssList( skol49 ) }.
% 0.73/1.12 { ssList( skol50 ) }.
% 0.73/1.12 { ssList( skol51 ) }.
% 0.73/1.12 { nil = skol49 }.
% 0.73/1.12 { skol49 = skol51 }.
% 0.73/1.12 { skol46 = skol50 }.
% 0.73/1.12 { ! nil = skol46 }.
% 0.73/1.12 { ssList( skol52 ) }.
% 0.73/1.12 { app( skol50, skol52 ) = skol51 }.
% 0.73/1.12 { totalorderedP( skol50 ) }.
% 0.73/1.12 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.73/1.12 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! leq( Z
% 0.73/1.12 , X ) }.
% 0.73/1.12 { nil = skol51, ! nil = skol50 }.
% 0.73/1.12
% 0.73/1.12 *** allocated 15000 integers for clauses
% 0.73/1.12 percentage equality = 0.134276, percentage horn = 0.763889
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:23, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ssItem [36, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.12 neq [38, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.12 ssList [39, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.12 memberP [40, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.12 cons [43, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.12 app [44, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.73/1.12 singletonP [45, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.12 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.35/1.71 frontsegP [47, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.35/1.71 rearsegP [48, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.35/1.71 segmentP [49, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.35/1.71 cyclefreeP [50, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.35/1.71 leq [53, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.35/1.71 totalorderP [54, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.35/1.71 strictorderP [55, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.35/1.71 lt [56, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.35/1.71 totalorderedP [57, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.35/1.71 strictorderedP [58, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.35/1.71 duplicatefreeP [59, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.35/1.71 equalelemsP [60, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.35/1.71 hd [61, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.35/1.71 tl [62, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.35/1.71 geq [63, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.35/1.71 gt [64, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.35/1.71 alpha1 [68, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.35/1.71 alpha2 [69, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.35/1.71 alpha3 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.35/1.71 alpha4 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.35/1.71 alpha5 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.35/1.71 alpha6 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.35/1.71 alpha7 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.35/1.71 alpha8 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.35/1.71 alpha9 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.35/1.71 alpha10 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.35/1.71 alpha11 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.35/1.71 alpha12 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.35/1.71 alpha13 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.35/1.71 alpha14 [81, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.35/1.71 alpha15 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.35/1.71 alpha16 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.35/1.71 alpha17 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.35/1.71 alpha18 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.35/1.71 alpha19 [86, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.35/1.71 alpha20 [87, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.35/1.71 alpha21 [88, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.35/1.71 alpha22 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.35/1.71 alpha23 [90, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.35/1.71 alpha24 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.35/1.71 alpha25 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.35/1.71 alpha26 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.35/1.71 alpha27 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.35/1.71 alpha28 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.35/1.71 alpha29 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.35/1.71 alpha30 [97, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.35/1.71 alpha31 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.35/1.71 alpha32 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.35/1.71 alpha33 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.35/1.71 alpha34 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.35/1.71 alpha35 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.35/1.71 alpha36 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.35/1.71 alpha37 [104, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.35/1.71 alpha38 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.35/1.71 alpha39 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.35/1.71 alpha40 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.35/1.71 alpha41 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.35/1.71 alpha42 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.35/1.71 alpha43 [110, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.35/1.71 skol1 [111, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.35/1.71 skol2 [112, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.35/1.71 skol3 [113, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.35/1.71 skol4 [114, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.35/1.71 skol5 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.35/1.71 skol6 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.35/1.71 skol7 [117, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.35/1.71 skol8 [118, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.35/1.71 skol9 [119, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.35/1.71 skol10 [120, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.35/1.71 skol11 [121, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.35/1.71 skol12 [122, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.35/1.71 skol13 [123, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.35/1.71 skol14 [124, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.35/1.71 skol15 [125, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.35/1.71 skol16 [126, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.35/1.71 skol17 [127, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.35/1.71 skol18 [128, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.35/1.71 skol19 [129, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.35/1.71 skol20 [130, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.35/1.71 skol21 [131, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.35/1.71 skol22 [132, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.35/1.71 skol23 [133, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.35/1.71 skol24 [134, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.35/1.71 skol25 [135, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.35/1.71 skol26 [136, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.35/1.71 skol27 [137, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.35/1.71 skol28 [138, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.35/1.71 skol29 [139, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.35/1.71 skol30 [140, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.35/1.71 skol31 [141, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.35/1.71 skol32 [142, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.35/1.71 skol33 [143, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.35/1.71 skol34 [144, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.35/1.71 skol35 [145, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.35/1.71 skol36 [146, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.35/1.71 skol37 [147, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.35/1.71 skol38 [148, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.35/1.71 skol39 [149, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.35/1.71 skol40 [150, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.35/1.71 skol41 [151, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.35/1.71 skol42 [152, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.35/1.71 skol43 [153, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.35/1.71 skol44 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.35/1.71 skol45 [155, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.35/1.71 skol46 [156, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.35/1.71 skol47 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.35/1.71 skol48 [158, 1] (w:1, o:45, a:1, s:1, b:1),
% 1.35/1.71 skol49 [159, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.35/1.71 skol50 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.35/1.71 skol51 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.35/1.71 skol52 [162, 0] (w:1, o:22, a:1, s:1, b:1).
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Starting Search:
% 1.35/1.71
% 1.35/1.71 *** allocated 22500 integers for clauses
% 1.35/1.71 *** allocated 33750 integers for clauses
% 1.35/1.71 *** allocated 50625 integers for clauses
% 1.35/1.71 *** allocated 22500 integers for termspace/termends
% 1.35/1.71 *** allocated 75937 integers for clauses
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 33750 integers for termspace/termends
% 1.35/1.71 *** allocated 113905 integers for clauses
% 1.35/1.71 *** allocated 50625 integers for termspace/termends
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 3714
% 1.35/1.71 Kept: 2008
% 1.35/1.71 Inuse: 217
% 1.35/1.71 Deleted: 9
% 1.35/1.71 Deletedinuse: 1
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 170857 integers for clauses
% 1.35/1.71 *** allocated 75937 integers for termspace/termends
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 256285 integers for clauses
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 6846
% 1.35/1.71 Kept: 4041
% 1.35/1.71 Inuse: 378
% 1.35/1.71 Deleted: 12
% 1.35/1.71 Deletedinuse: 4
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 113905 integers for termspace/termends
% 1.35/1.71 *** allocated 384427 integers for clauses
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 10239
% 1.35/1.71 Kept: 6076
% 1.35/1.71 Inuse: 503
% 1.35/1.71 Deleted: 22
% 1.35/1.71 Deletedinuse: 14
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 170857 integers for termspace/termends
% 1.35/1.71 *** allocated 576640 integers for clauses
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 13314
% 1.35/1.71 Kept: 8115
% 1.35/1.71 Inuse: 606
% 1.35/1.71 Deleted: 28
% 1.35/1.71 Deletedinuse: 18
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 16733
% 1.35/1.71 Kept: 10273
% 1.35/1.71 Inuse: 671
% 1.35/1.71 Deleted: 28
% 1.35/1.71 Deletedinuse: 18
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 256285 integers for termspace/termends
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 864960 integers for clauses
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 21172
% 1.35/1.71 Kept: 12338
% 1.35/1.71 Inuse: 742
% 1.35/1.71 Deleted: 28
% 1.35/1.71 Deletedinuse: 18
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 29829
% 1.35/1.71 Kept: 14719
% 1.35/1.71 Inuse: 781
% 1.35/1.71 Deleted: 42
% 1.35/1.71 Deletedinuse: 32
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 384427 integers for termspace/termends
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 35809
% 1.35/1.71 Kept: 16750
% 1.35/1.71 Inuse: 834
% 1.35/1.71 Deleted: 68
% 1.35/1.71 Deletedinuse: 56
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 Resimplifying inuse:
% 1.35/1.71 Done
% 1.35/1.71
% 1.35/1.71 *** allocated 1297440 integers for clauses
% 1.35/1.71
% 1.35/1.71 Intermediate Status:
% 1.35/1.71 Generated: 44293
% 1.35/1.71 Kept: 18839
% 1.35/1.71 Inuse: 905
% 1.35/1.71 Deleted: 77
% 1.35/1.71 Deletedinuse: 61
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Bliksems!, er is een bewijs:
% 1.35/1.71 % SZS status Theorem
% 1.35/1.71 % SZS output start Refutation
% 1.35/1.71
% 1.35/1.71 (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 1.35/1.71 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.35/1.71 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.35/1.71 (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 1.35/1.71 , Y ), ! frontsegP( Y, X ), X = Y }.
% 1.35/1.71 (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil ) }.
% 1.35/1.71 (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 1.35/1.71 }.
% 1.35/1.71 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.35/1.71 (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.35/1.71 (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.35/1.71 (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.35/1.71 (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 1.35/1.71 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.35/1.71 (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46, skol52 ) ==> nil
% 1.35/1.71 }.
% 1.35/1.71 (337) {G1,W3,D2,L1,V0,M1} Q(202);r(161) { frontsegP( nil, nil ) }.
% 1.35/1.71 (559) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil ) }.
% 1.35/1.71 (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), ! ssList(
% 1.35/1.71 skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.35/1.71 (676) {G4,W5,D2,L2,V0,M2} Q(670);r(161) { ! ssList( skol52 ), frontsegP(
% 1.35/1.71 nil, skol46 ) }.
% 1.35/1.71 (677) {G5,W3,D2,L1,V0,M1} S(676);r(283) { frontsegP( nil, skol46 ) }.
% 1.35/1.71 (18585) {G2,W8,D2,L3,V0,M3} R(194,559);r(275) { ! ssList( nil ), !
% 1.35/1.71 frontsegP( nil, skol46 ), skol46 ==> nil }.
% 1.35/1.71 (18777) {G6,W11,D2,L4,V1,M4} P(194,677);r(161) { frontsegP( X, skol46 ), !
% 1.35/1.71 ssList( X ), ! frontsegP( nil, X ), ! frontsegP( X, nil ) }.
% 1.35/1.71 (18810) {G1,W11,D2,L4,V1,M4} P(194,282);r(275) { ! X = nil, ! ssList( X ),
% 1.35/1.71 ! frontsegP( skol46, X ), ! frontsegP( X, skol46 ) }.
% 1.35/1.71 (18828) {G3,W6,D2,L2,V0,M2} Q(18810);d(18585);r(161) { ! frontsegP( nil,
% 1.35/1.71 skol46 ), ! frontsegP( nil, nil ) }.
% 1.35/1.71 (18829) {G7,W5,D2,L2,V0,M2} F(18777);r(18828) { ! ssList( nil ), !
% 1.35/1.71 frontsegP( nil, nil ) }.
% 1.35/1.71 (18839) {G8,W0,D0,L0,V0,M0} S(18829);r(161);r(337) { }.
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 % SZS output end Refutation
% 1.35/1.71 found a proof!
% 1.35/1.71
% 1.35/1.71
% 1.35/1.71 Unprocessed initial clauses:
% 1.35/1.71
% 1.35/1.71 (18841) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.35/1.71 , ! X = Y }.
% 1.35/1.71 (18842) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18843) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.35/1.71 (18844) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.35/1.71 (18845) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.35/1.71 (18846) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.35/1.71 , Y ), ssList( skol2( Z, T ) ) }.
% 1.35/1.71 (18847) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.35/1.71 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.35/1.71 (18848) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.35/1.71 (18849) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.35/1.71 ) ) }.
% 1.35/1.71 (18850) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.35/1.71 ( X, Y, Z ) ) ) = X }.
% 1.35/1.71 (18851) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.35/1.71 , alpha1( X, Y, Z ) }.
% 1.35/1.71 (18852) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.35/1.71 skol4( Y ) ) }.
% 1.35/1.71 (18853) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.35/1.71 skol4( X ), nil ) = X }.
% 1.35/1.71 (18854) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.35/1.71 nil ) = X, singletonP( X ) }.
% 1.35/1.71 (18855) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.35/1.71 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.35/1.71 (18856) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.35/1.71 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.35/1.71 (18857) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.35/1.71 (18858) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.35/1.71 , Y ), ssList( skol6( Z, T ) ) }.
% 1.35/1.71 (18859) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.35/1.71 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.35/1.71 (18860) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.35/1.71 (18861) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.35/1.71 , Y ), ssList( skol7( Z, T ) ) }.
% 1.35/1.71 (18862) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.35/1.71 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.35/1.71 (18863) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.35/1.71 (18864) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.35/1.71 ) ) }.
% 1.35/1.71 (18865) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.35/1.71 skol8( X, Y, Z ) ) = X }.
% 1.35/1.71 (18866) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.35/1.71 , alpha2( X, Y, Z ) }.
% 1.35/1.71 (18867) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.35/1.71 Y ), alpha3( X, Y ) }.
% 1.35/1.71 (18868) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.35/1.71 cyclefreeP( X ) }.
% 1.35/1.71 (18869) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.35/1.71 cyclefreeP( X ) }.
% 1.35/1.71 (18870) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18871) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.35/1.71 (18872) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18873) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha28( X, Y, Z, T ) }.
% 1.35/1.71 (18874) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18875) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.35/1.71 alpha21( X, Y, Z ) }.
% 1.35/1.71 (18876) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha35( X, Y, Z, T, U ) }.
% 1.35/1.71 (18877) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18878) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.35/1.71 ), alpha28( X, Y, Z, T ) }.
% 1.35/1.71 (18879) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha41( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18880) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha35( X, Y, Z, T, U ) }.
% 1.35/1.71 (18881) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.35/1.71 (18882) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.35/1.71 (18883) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18884) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.35/1.71 W ) }.
% 1.35/1.71 (18885) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.35/1.71 X ) }.
% 1.35/1.71 (18886) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.35/1.71 (18887) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.35/1.71 (18888) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.35/1.71 ( Y ), alpha4( X, Y ) }.
% 1.35/1.71 (18889) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.35/1.71 totalorderP( X ) }.
% 1.35/1.71 (18890) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.35/1.71 totalorderP( X ) }.
% 1.35/1.71 (18891) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18892) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.35/1.71 (18893) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18894) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha29( X, Y, Z, T ) }.
% 1.35/1.71 (18895) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18896) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.35/1.71 alpha22( X, Y, Z ) }.
% 1.35/1.71 (18897) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha36( X, Y, Z, T, U ) }.
% 1.35/1.71 (18898) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18899) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.35/1.71 ), alpha29( X, Y, Z, T ) }.
% 1.35/1.71 (18900) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha42( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18901) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha36( X, Y, Z, T, U ) }.
% 1.35/1.71 (18902) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.35/1.71 (18903) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.35/1.71 (18904) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18905) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.35/1.71 W ) }.
% 1.35/1.71 (18906) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.35/1.71 }.
% 1.35/1.71 (18907) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.35/1.71 (18908) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.35/1.71 (18909) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.35/1.71 ( Y ), alpha5( X, Y ) }.
% 1.35/1.71 (18910) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.35/1.71 strictorderP( X ) }.
% 1.35/1.71 (18911) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.35/1.71 strictorderP( X ) }.
% 1.35/1.71 (18912) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18913) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.35/1.71 (18914) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18915) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha30( X, Y, Z, T ) }.
% 1.35/1.71 (18916) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18917) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.35/1.71 alpha23( X, Y, Z ) }.
% 1.35/1.71 (18918) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha37( X, Y, Z, T, U ) }.
% 1.35/1.71 (18919) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18920) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.35/1.71 ), alpha30( X, Y, Z, T ) }.
% 1.35/1.71 (18921) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha43( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18922) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha37( X, Y, Z, T, U ) }.
% 1.35/1.71 (18923) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.35/1.71 (18924) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.35/1.71 (18925) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18926) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.35/1.71 W ) }.
% 1.35/1.71 (18927) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.35/1.71 }.
% 1.35/1.71 (18928) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.35/1.71 (18929) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.35/1.71 (18930) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.35/1.71 ssItem( Y ), alpha6( X, Y ) }.
% 1.35/1.71 (18931) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.35/1.71 totalorderedP( X ) }.
% 1.35/1.71 (18932) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.35/1.71 totalorderedP( X ) }.
% 1.35/1.71 (18933) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18934) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.35/1.71 (18935) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18936) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha24( X, Y, Z, T ) }.
% 1.35/1.71 (18937) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18938) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.35/1.71 alpha15( X, Y, Z ) }.
% 1.35/1.71 (18939) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha31( X, Y, Z, T, U ) }.
% 1.35/1.71 (18940) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18941) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.35/1.71 ), alpha24( X, Y, Z, T ) }.
% 1.35/1.71 (18942) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha38( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18943) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha31( X, Y, Z, T, U ) }.
% 1.35/1.71 (18944) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.35/1.71 (18945) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.35/1.71 (18946) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18947) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.35/1.71 }.
% 1.35/1.71 (18948) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.35/1.71 ssItem( Y ), alpha7( X, Y ) }.
% 1.35/1.71 (18949) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.35/1.71 strictorderedP( X ) }.
% 1.35/1.71 (18950) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.35/1.71 strictorderedP( X ) }.
% 1.35/1.71 (18951) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18952) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.35/1.71 (18953) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18954) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha25( X, Y, Z, T ) }.
% 1.35/1.71 (18955) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18956) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.35/1.71 alpha16( X, Y, Z ) }.
% 1.35/1.71 (18957) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha32( X, Y, Z, T, U ) }.
% 1.35/1.71 (18958) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18959) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.35/1.71 ), alpha25( X, Y, Z, T ) }.
% 1.35/1.71 (18960) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha39( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18961) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha32( X, Y, Z, T, U ) }.
% 1.35/1.71 (18962) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.35/1.71 (18963) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.35/1.71 (18964) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18965) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.35/1.71 }.
% 1.35/1.71 (18966) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.35/1.71 ssItem( Y ), alpha8( X, Y ) }.
% 1.35/1.71 (18967) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.35/1.71 duplicatefreeP( X ) }.
% 1.35/1.71 (18968) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.35/1.71 duplicatefreeP( X ) }.
% 1.35/1.71 (18969) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18970) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.35/1.71 (18971) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18972) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha26( X, Y, Z, T ) }.
% 1.35/1.71 (18973) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18974) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.35/1.71 alpha17( X, Y, Z ) }.
% 1.35/1.71 (18975) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha33( X, Y, Z, T, U ) }.
% 1.35/1.71 (18976) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18977) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.35/1.71 ), alpha26( X, Y, Z, T ) }.
% 1.35/1.71 (18978) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.35/1.71 alpha40( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18979) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.35/1.71 alpha33( X, Y, Z, T, U ) }.
% 1.35/1.71 (18980) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.35/1.71 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.35/1.71 (18981) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.35/1.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.35/1.71 (18982) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.35/1.71 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18983) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.35/1.71 (18984) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.35/1.71 ( Y ), alpha9( X, Y ) }.
% 1.35/1.71 (18985) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.35/1.71 equalelemsP( X ) }.
% 1.35/1.71 (18986) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.35/1.71 equalelemsP( X ) }.
% 1.35/1.71 (18987) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.35/1.71 , Y, Z ) }.
% 1.35/1.71 (18988) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.35/1.71 (18989) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (18990) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.35/1.71 alpha27( X, Y, Z, T ) }.
% 1.35/1.71 (18991) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.35/1.71 Z ) }.
% 1.35/1.71 (18992) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.35/1.71 alpha18( X, Y, Z ) }.
% 1.35/1.71 (18993) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.35/1.71 alpha34( X, Y, Z, T, U ) }.
% 1.35/1.71 (18994) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.35/1.71 X, Y, Z, T ) }.
% 1.35/1.71 (18995) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.35/1.71 ), alpha27( X, Y, Z, T ) }.
% 1.35/1.71 (18996) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.35/1.71 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.35/1.71 (18997) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.35/1.71 alpha34( X, Y, Z, T, U ) }.
% 1.35/1.71 (18998) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.35/1.71 (18999) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.35/1.71 , ! X = Y }.
% 1.35/1.71 (19000) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.35/1.71 , Y ) }.
% 1.35/1.71 (19001) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.35/1.71 Y, X ) ) }.
% 1.35/1.71 (19002) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.35/1.71 (19003) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.35/1.71 = X }.
% 1.35/1.71 (19004) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.35/1.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.35/1.71 (19005) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.35/1.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.35/1.71 (19006) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.35/1.71 ) }.
% 1.35/1.71 (19007) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.35/1.71 ) }.
% 1.35/1.71 (19008) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.35/1.71 skol43( X ) ) = X }.
% 1.35/1.71 (19009) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.35/1.71 Y, X ) }.
% 1.35/1.71 (19010) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.35/1.71 }.
% 1.35/1.71 (19011) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.35/1.71 X ) ) = Y }.
% 1.35/1.71 (19012) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.35/1.71 }.
% 1.35/1.71 (19013) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.35/1.71 X ) ) = X }.
% 1.35/1.71 (19014) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.35/1.71 , Y ) ) }.
% 1.35/1.71 (19015) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.35/1.71 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.35/1.71 (19016) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.35/1.71 (19017) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.35/1.71 , ! leq( Y, X ), X = Y }.
% 1.35/1.71 (19018) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.35/1.71 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.35/1.71 (19019) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.35/1.71 (19020) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.35/1.71 , leq( Y, X ) }.
% 1.35/1.71 (19021) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.35/1.71 , geq( X, Y ) }.
% 1.35/1.71 (19022) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.35/1.71 , ! lt( Y, X ) }.
% 1.35/1.71 (19023) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.35/1.71 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.35/1.71 (19024) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.35/1.71 , lt( Y, X ) }.
% 1.35/1.71 (19025) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.35/1.71 , gt( X, Y ) }.
% 1.35/1.71 (19026) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.35/1.71 (19027) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.35/1.71 (19028) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.35/1.71 (19029) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.35/1.71 (19030) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.35/1.71 (19031) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.35/1.71 (19032) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.35/1.71 (19033) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.35/1.71 (19034) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.35/1.71 (19035) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.35/1.71 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.35/1.71 (19036) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.35/1.71 (19037) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.35/1.71 (19038) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.35/1.71 (19039) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.35/1.71 , T ) }.
% 1.35/1.71 (19040) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.35/1.71 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.35/1.71 cons( Y, T ) ) }.
% 1.35/1.71 (19041) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.35/1.71 (19042) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.35/1.71 X }.
% 1.35/1.71 (19043) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.35/1.71 ) }.
% 1.35/1.71 (19044) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.35/1.71 (19045) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.35/1.71 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.35/1.71 (19046) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.35/1.71 (19047) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.35/1.71 (19048) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.35/1.71 (19049) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.35/1.71 }.
% 1.35/1.71 (19050) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.35/1.71 }.
% 1.35/1.71 (19051) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.35/1.71 (19052) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.35/1.71 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.35/1.71 (19053) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.35/1.71 (19054) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.35/1.71 }.
% 1.35/1.71 (19055) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.35/1.71 (19056) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.35/1.71 }.
% 1.35/1.71 (19057) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.35/1.71 }.
% 1.35/1.71 (19058) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.35/1.71 }.
% 1.35/1.71 (19059) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.35/1.71 (19060) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.35/1.71 }.
% 1.35/1.71 (19061) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.35/1.71 (19062) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.35/1.71 ) }.
% 1.35/1.71 (19063) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.35/1.71 (19064) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.35/1.71 ) }.
% 1.35/1.71 (19065) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.35/1.71 (19066) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.35/1.71 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.35/1.71 (19067) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.35/1.71 totalorderedP( cons( X, Y ) ) }.
% 1.35/1.71 (19068) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.35/1.71 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.35/1.71 (19069) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.35/1.71 (19070) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.35/1.71 (19071) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.35/1.71 }.
% 1.35/1.71 (19072) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.35/1.71 (19073) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.35/1.71 (19074) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.35/1.71 alpha19( X, Y ) }.
% 1.35/1.71 (19075) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.35/1.71 ) ) }.
% 1.35/1.71 (19076) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.35/1.71 (19077) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.35/1.71 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.35/1.71 (19078) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.35/1.71 strictorderedP( cons( X, Y ) ) }.
% 1.35/1.71 (19079) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.35/1.71 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.35/1.71 (19080) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.35/1.71 (19081) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.35/1.71 (19082) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.35/1.71 }.
% 1.35/1.71 (19083) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.35/1.71 (19084) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.35/1.71 (19085) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.35/1.71 alpha20( X, Y ) }.
% 1.35/1.71 (19086) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.35/1.71 ) ) }.
% 1.35/1.71 (19087) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.35/1.71 (19088) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.35/1.71 }.
% 1.35/1.71 (19089) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.35/1.71 (19090) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.35/1.71 ) }.
% 1.35/1.71 (19091) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.35/1.71 ) }.
% 1.35/1.71 (19092) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.35/1.71 ) }.
% 1.35/1.71 (19093) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.35/1.71 ) }.
% 1.35/1.71 (19094) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.35/1.71 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.35/1.71 (19095) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.35/1.71 X ) ) = X }.
% 1.35/1.71 (19096) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.35/1.71 (19097) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.35/1.71 (19098) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.35/1.71 = app( cons( Y, nil ), X ) }.
% 1.35/1.71 (19099) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.35/1.71 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.35/1.71 (19100) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.35/1.71 X, Y ), nil = Y }.
% 1.35/1.71 (19101) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.35/1.71 X, Y ), nil = X }.
% 1.35/1.71 (19102) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.35/1.71 nil = X, nil = app( X, Y ) }.
% 1.35/1.71 (19103) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.35/1.71 (19104) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.35/1.71 app( X, Y ) ) = hd( X ) }.
% 1.35/1.71 (19105) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.35/1.71 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.35/1.71 (19106) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.35/1.71 , ! geq( Y, X ), X = Y }.
% 1.35/1.71 (19107) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.35/1.71 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.35/1.71 (19108) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.35/1.71 (19109) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.35/1.71 (19110) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.35/1.71 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.35/1.71 (19111) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.35/1.71 , X = Y, lt( X, Y ) }.
% 1.35/1.71 (19112) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.35/1.71 , ! X = Y }.
% 1.35/1.71 (19113) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.35/1.71 , leq( X, Y ) }.
% 1.35/1.71 (19114) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.35/1.71 ( X, Y ), lt( X, Y ) }.
% 1.35/1.71 (19115) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.35/1.71 , ! gt( Y, X ) }.
% 1.35/1.71 (19116) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.35/1.71 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.35/1.71 (19117) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.35/1.71 (19118) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.35/1.72 (19119) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.35/1.72 (19120) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.35/1.72 (19121) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 1.35/1.72 (19122) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.35/1.72 (19123) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.35/1.72 (19124) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.35/1.72 (19125) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.35/1.72 (19126) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 1.35/1.72 (19127) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 1.35/1.72 (19128) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 1.35/1.72 X, nil ), Y ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 1.35/1.72 nil ) ) = skol50, ! leq( Z, X ) }.
% 1.35/1.72 (19129) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 1.35/1.72
% 1.35/1.72
% 1.35/1.72 Total Proof:
% 1.35/1.72
% 1.35/1.72 subsumption: (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.35/1.72 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.35/1.72 parent0: (18857) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.35/1.72 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 Y := Y
% 1.35/1.72 Z := Z
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 1 ==> 1
% 1.35/1.72 2 ==> 2
% 1.35/1.72 3 ==> 3
% 1.35/1.72 4 ==> 4
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.35/1.72 parent0: (19002) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.35/1.72 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.35/1.72 parent0: (19035) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.35/1.72 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 Y := Y
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 1 ==> 1
% 1.35/1.72 2 ==> 2
% 1.35/1.72 3 ==> 3
% 1.35/1.72 4 ==> 4
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 1.35/1.72 ) }.
% 1.35/1.72 parent0: (19041) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil )
% 1.35/1.72 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 1 ==> 1
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 1.35/1.72 frontsegP( nil, X ) }.
% 1.35/1.72 parent0: (19043) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP
% 1.35/1.72 ( nil, X ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 1 ==> 1
% 1.35/1.72 2 ==> 2
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.35/1.72 parent0: (19117) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (20366) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 1.35/1.72 parent0[0]: (19121) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.35/1.72 parent0: (20366) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 paramod: (21007) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 1.35/1.72 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.35/1.72 parent1[0; 1]: (19122) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (21008) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 1.35/1.72 parent0[0]: (21007) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.35/1.72 parent0: (21008) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (21357) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.35/1.72 parent0[0]: (19123) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.35/1.72 parent0: (21357) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (21707) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.35/1.72 parent0[0]: (19124) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 1.35/1.72 parent0: (21707) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.35/1.72 parent0: (19125) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 paramod: (22991) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 1.35/1.72 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.35/1.72 parent1[0; 2]: (19126) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 1.35/1.72 skol51 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 paramod: (22992) {G2,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = nil }.
% 1.35/1.72 parent0[0]: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.35/1.72 parent1[0; 4]: (22991) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 1.35/1.72 skol51 }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46,
% 1.35/1.72 skol52 ) ==> nil }.
% 1.35/1.72 parent0: (22992) {G2,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = nil }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (22994) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), frontsegP
% 1.35/1.72 ( nil, X ) }.
% 1.35/1.72 parent0[1]: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 1.35/1.72 frontsegP( nil, X ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqrefl: (22995) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), frontsegP( nil, nil
% 1.35/1.72 ) }.
% 1.35/1.72 parent0[0]: (22994) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ),
% 1.35/1.72 frontsegP( nil, X ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := nil
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 resolution: (22996) {G1,W3,D2,L1,V0,M1} { frontsegP( nil, nil ) }.
% 1.35/1.72 parent0[0]: (22995) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), frontsegP( nil
% 1.35/1.72 , nil ) }.
% 1.35/1.72 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (337) {G1,W3,D2,L1,V0,M1} Q(202);r(161) { frontsegP( nil, nil
% 1.35/1.72 ) }.
% 1.35/1.72 parent0: (22996) {G1,W3,D2,L1,V0,M1} { frontsegP( nil, nil ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 resolution: (22997) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 1.35/1.72 parent0[0]: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 1.35/1.72 ) }.
% 1.35/1.72 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := skol46
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (559) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil
% 1.35/1.72 ) }.
% 1.35/1.72 parent0: (22997) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 0
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (22999) {G0,W14,D3,L5,V3,M5} { ! Z = app( X, Y ), ! ssList( Z ), !
% 1.35/1.72 ssList( X ), ! ssList( Y ), frontsegP( Z, X ) }.
% 1.35/1.72 parent0[3]: (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.35/1.72 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := Z
% 1.35/1.72 Y := X
% 1.35/1.72 Z := Y
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 paramod: (23000) {G1,W12,D2,L5,V1,M5} { ! X = nil, ! ssList( X ), ! ssList
% 1.35/1.72 ( skol46 ), ! ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 parent0[0]: (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46, skol52
% 1.35/1.72 ) ==> nil }.
% 1.35/1.72 parent1[0; 3]: (22999) {G0,W14,D3,L5,V3,M5} { ! Z = app( X, Y ), ! ssList
% 1.35/1.72 ( Z ), ! ssList( X ), ! ssList( Y ), frontsegP( Z, X ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 X := skol46
% 1.35/1.72 Y := skol52
% 1.35/1.72 Z := X
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 resolution: (23007) {G1,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), !
% 1.35/1.72 ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 parent0[2]: (23000) {G1,W12,D2,L5,V1,M5} { ! X = nil, ! ssList( X ), !
% 1.35/1.72 ssList( skol46 ), ! ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72 substitution1:
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (23008) {G1,W10,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), ! ssList
% 1.35/1.72 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 parent0[0]: (23007) {G1,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), !
% 1.35/1.72 ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 subsumption: (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), !
% 1.35/1.72 ssList( skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.35/1.72 parent0: (23008) {G1,W10,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), ! ssList
% 1.35/1.72 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72 permutation0:
% 1.35/1.72 0 ==> 2
% 1.35/1.72 1 ==> 0
% 1.35/1.72 2 ==> 1
% 1.35/1.72 3 ==> 3
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqswap: (23011) {G3,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), ! ssList
% 1.35/1.72 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.35/1.72 parent0[2]: (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), !
% 1.35/1.72 ssList( skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.35/1.72 substitution0:
% 1.35/1.72 X := X
% 1.35/1.72 end
% 1.35/1.72
% 1.35/1.72 eqrefl: (23012) {G0,W7,D2,L3,V0,M3} { ! ssList( nil ), ! ssList( skol52 )
% 1.35/1.72 , frontsegP( nil, skol46 ) }.
% 1.35/1.72 parent0[0]: (23011) Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------