%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC037+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 19:33:13 EDT 2022
% Result : Theorem 2.38s 2.81s
% Output : Refutation 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC037+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 11 21:16:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.12 *** allocated 10000 integers for termspace/termends
% 0.71/1.12 *** allocated 10000 integers for clauses
% 0.71/1.12 *** allocated 10000 integers for justifications
% 0.71/1.12 Bliksem 1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Automatic Strategy Selection
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for termspace/termends
% 0.71/1.12
% 0.71/1.12 Clauses:
% 0.71/1.12
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.12 { ssItem( skol1 ) }.
% 0.71/1.12 { ssItem( skol48 ) }.
% 0.71/1.12 { ! skol1 = skol48 }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.71/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.71/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.71/1.12 ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.71/1.12 ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.71/1.12 = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.71/1.12 ( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.71/1.12 }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.71/1.12 , Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.71/1.12 segmentP( X, Y ) }.
% 0.71/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.71/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.71/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.71/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.71/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.71/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.71/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.71/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.71/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.71/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.71/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.71/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.71/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.71/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.71/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.71/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.71/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.71/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.71/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.71/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, leq( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.71/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.71/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.71/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, lt( Y, Z ) }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.71/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.71/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.71/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.71/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.71/1.12 .
% 0.71/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.71/1.12 , U ) }.
% 0.71/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.71/1.12 ) ) = X, ! Y = Z }.
% 0.71/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.71/1.12 W ) }.
% 0.71/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.71/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.71/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.71/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.71/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.71/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.71/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.71/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.71/1.12 Z }.
% 0.71/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.71/1.12 { ssList( nil ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.12 ) = cons( T, Y ), Z = T }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.71/1.12 ) = cons( T, Y ), Y = X }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.71/1.12 ( cons( Z, Y ), X ) }.
% 0.71/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.71/1.12 , leq( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.71/1.12 lt( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.71/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.71/1.12 app( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.12 app( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.71/1.12 , X = Y, memberP( Z, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.71/1.12 ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.71/1.12 cons( Y, Z ), X ) }.
% 0.71/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.71/1.12 { ! singletonP( nil ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.71/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.71/1.12 = Y }.
% 0.71/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.71/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.71/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.71/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.71/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.71/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.71/1.12 Y }.
% 0.71/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.71/1.12 ( app( Z, X ), Y ) }.
% 0.71/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.71/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.71/1.12 Y }.
% 0.71/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.71/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.71/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.71/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.71/1.12 { cyclefreeP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.71/1.12 { totalorderP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.71/1.12 { strictorderP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.71/1.12 { totalorderedP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.12 alpha10( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.71/1.12 .
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.71/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.71/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.71/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.71/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.71/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.71/1.12 { strictorderedP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.71/1.12 alpha11( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.71/1.12 .
% 0.71/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.71/1.12 , Y ) ) }.
% 0.71/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.71/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.71/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.71/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.71/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.71/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.71/1.12 { duplicatefreeP( nil ) }.
% 0.71/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.71/1.12 { equalelemsP( nil ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.71/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.71/1.12 ( Y ) = tl( X ), Y = X }.
% 0.71/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.71/1.12 , Z = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.71/1.12 , Z = X }.
% 0.71/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.71/1.12 ( X, app( Y, Z ) ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.71/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.71/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.71/1.12 Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.71/1.12 , geq( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.71/1.12 , lt( X, Z ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.71/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.71/1.12 gt( X, Z ) }.
% 0.71/1.12 { ssList( skol46 ) }.
% 0.71/1.12 { ssList( skol50 ) }.
% 0.71/1.12 { ssList( skol51 ) }.
% 0.71/1.12 { ssList( skol52 ) }.
% 0.71/1.12 { nil = skol50 }.
% 0.71/1.12 { skol50 = skol52 }.
% 0.71/1.12 { skol46 = skol51 }.
% 0.71/1.12 { ! nil = skol46 }.
% 0.71/1.12 { alpha45( skol51, skol52 ), nil = skol52 }.
% 0.71/1.12 { alpha45( skol51, skol52 ), nil = skol51 }.
% 0.71/1.12 { ! alpha45( X, Y ), alpha44( skol47( Z, T ) ) }.
% 0.71/1.12 { ! alpha45( X, Y ), segmentP( Y, skol47( Z, Y ) ) }.
% 0.71/1.12 { ! alpha45( X, Y ), segmentP( X, skol47( X, Y ) ) }.
% 0.71/1.12 { ! alpha44( Z ), ! segmentP( Y, Z ), ! segmentP( X, Z ), alpha45( X, Y ) }
% 0.71/1.12 .
% 0.71/1.12 { ! alpha44( X ), ssList( X ) }.
% 0.71/1.12 { ! alpha44( X ), neq( X, nil ) }.
% 0.71/1.12 { ! ssList( X ), ! neq( X, nil ), alpha44( X ) }.
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for clauses
% 0.71/1.12 percentage equality = 0.129371, percentage horn = 0.760274
% 0.71/1.12 This is a problem with some equality
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Options Used:
% 0.71/1.12
% 0.71/1.12 useres = 1
% 0.71/1.12 useparamod = 1
% 0.71/1.12 useeqrefl = 1
% 0.71/1.12 useeqfact = 1
% 0.71/1.12 usefactor = 1
% 0.71/1.12 usesimpsplitting = 0
% 0.71/1.12 usesimpdemod = 5
% 0.71/1.12 usesimpres = 3
% 0.71/1.12
% 0.71/1.12 resimpinuse = 1000
% 0.71/1.12 resimpclauses = 20000
% 0.71/1.12 substype = eqrewr
% 0.71/1.12 backwardsubs = 1
% 0.71/1.12 selectoldest = 5
% 0.71/1.12
% 0.71/1.12 litorderings [0] = split
% 0.71/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.12
% 0.71/1.12 termordering = kbo
% 0.71/1.12
% 0.71/1.12 litapriori = 0
% 0.71/1.12 termapriori = 1
% 0.71/1.12 litaposteriori = 0
% 0.71/1.12 termaposteriori = 0
% 0.71/1.12 demodaposteriori = 0
% 0.71/1.12 ordereqreflfact = 0
% 0.71/1.12
% 0.71/1.12 litselect = negord
% 0.71/1.12
% 0.71/1.12 maxweight = 15
% 0.71/1.12 maxdepth = 30000
% 0.71/1.12 maxlength = 115
% 0.71/1.12 maxnrvars = 195
% 0.71/1.12 excuselevel = 1
% 0.71/1.12 increasemaxweight = 1
% 0.71/1.12
% 0.71/1.12 maxselected = 10000000
% 0.71/1.12 maxnrclauses = 10000000
% 0.71/1.12
% 0.71/1.12 showgenerated = 0
% 0.71/1.12 showkept = 0
% 0.71/1.12 showselected = 0
% 0.71/1.12 showdeleted = 0
% 0.71/1.12 showresimp = 1
% 0.71/1.12 showstatus = 2000
% 0.71/1.12
% 0.71/1.12 prologoutput = 0
% 0.71/1.12 nrgoals = 5000000
% 0.71/1.12 totalproof = 1
% 0.71/1.12
% 0.71/1.12 Symbols occurring in the translation:
% 0.71/1.12
% 0.71/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.12 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.12 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.71/1.12 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.12 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.71/1.12 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.71/1.60 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.71/1.60 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.60 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.60 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.71/1.60 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.71/1.60 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.71/1.60 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.71/1.60 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.71/1.60 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.71/1.60 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.71/1.60 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.71/1.60 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.71/1.60 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.71/1.60 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.71/1.60 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.71/1.60 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.60 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.71/1.60 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.71/1.60 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.71/1.60 alpha1 [65, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.71/1.61 alpha2 [66, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.71/1.61 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.71/1.61 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.71/1.61 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.71/1.61 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.71/1.61 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.71/1.61 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.71/1.61 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.71/1.61 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.71/1.61 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.71/1.61 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.71/1.61 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.71/1.61 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.71/1.61 alpha15 [79, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.71/1.61 alpha16 [80, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.71/1.61 alpha17 [81, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.71/1.61 alpha18 [82, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.71/1.61 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.71/1.61 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.71/1.61 alpha21 [85, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.71/1.61 alpha22 [86, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.71/1.61 alpha23 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.71/1.61 alpha24 [88, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.71/1.61 alpha25 [89, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.71/1.61 alpha26 [90, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.71/1.61 alpha27 [91, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.71/1.61 alpha28 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.71/1.61 alpha29 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.71/1.61 alpha30 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.71/1.61 alpha31 [95, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.71/1.61 alpha32 [96, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.71/1.61 alpha33 [97, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.71/1.61 alpha34 [98, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.71/1.61 alpha35 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.71/1.61 alpha36 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.71/1.61 alpha37 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.71/1.61 alpha38 [102, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.71/1.61 alpha39 [103, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.71/1.61 alpha40 [104, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.71/1.61 alpha41 [105, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.71/1.61 alpha42 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.71/1.61 alpha43 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.71/1.61 alpha44 [108, 1] (w:1, o:48, a:1, s:1, b:1),
% 0.71/1.61 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.71/1.61 skol1 [110, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.71/1.61 skol2 [111, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.71/1.61 skol3 [112, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.71/1.61 skol4 [113, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.71/1.61 skol5 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.71/1.61 skol6 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.71/1.61 skol7 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.71/1.61 skol8 [117, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.71/1.61 skol9 [118, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.71/1.61 skol10 [119, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.71/1.61 skol11 [120, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.71/1.61 skol12 [121, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.71/1.61 skol13 [122, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.71/1.61 skol14 [123, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.71/1.61 skol15 [124, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.71/1.61 skol16 [125, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.38/2.81 skol17 [126, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.38/2.81 skol18 [127, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.38/2.81 skol19 [128, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.38/2.81 skol20 [129, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.38/2.81 skol21 [130, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.38/2.81 skol22 [131, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.38/2.81 skol23 [132, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.38/2.81 skol24 [133, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.38/2.81 skol25 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.38/2.81 skol26 [135, 3] (w:1, o:121, a:1, s:1, b:1),
% 2.38/2.81 skol27 [136, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.38/2.81 skol28 [137, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.38/2.81 skol29 [138, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.38/2.81 skol30 [139, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.38/2.81 skol31 [140, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.38/2.81 skol32 [141, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.38/2.81 skol33 [142, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.38/2.81 skol34 [143, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.38/2.81 skol35 [144, 2] (w:1, o:110, a:1, s:1, b:1),
% 2.38/2.81 skol36 [145, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.38/2.81 skol37 [146, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.38/2.81 skol38 [147, 5] (w:1, o:155, a:1, s:1, b:1),
% 2.38/2.81 skol39 [148, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.38/2.81 skol40 [149, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.38/2.81 skol41 [150, 3] (w:1, o:128, a:1, s:1, b:1),
% 2.38/2.81 skol42 [151, 4] (w:1, o:142, a:1, s:1, b:1),
% 2.38/2.81 skol43 [152, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.38/2.81 skol44 [153, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.38/2.81 skol45 [154, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.38/2.81 skol46 [155, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.38/2.81 skol47 [156, 2] (w:1, o:103, a:1, s:1, b:1),
% 2.38/2.81 skol48 [157, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.38/2.81 skol49 [158, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.38/2.81 skol50 [159, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.38/2.81 skol51 [160, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.38/2.81 skol52 [161, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Starting Search:
% 2.38/2.81
% 2.38/2.81 *** allocated 22500 integers for clauses
% 2.38/2.81 *** allocated 33750 integers for clauses
% 2.38/2.81 *** allocated 50625 integers for clauses
% 2.38/2.81 *** allocated 22500 integers for termspace/termends
% 2.38/2.81 *** allocated 75937 integers for clauses
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 33750 integers for termspace/termends
% 2.38/2.81 *** allocated 113905 integers for clauses
% 2.38/2.81 *** allocated 50625 integers for termspace/termends
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 3727
% 2.38/2.81 Kept: 2007
% 2.38/2.81 Inuse: 219
% 2.38/2.81 Deleted: 10
% 2.38/2.81 Deletedinuse: 3
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 170857 integers for clauses
% 2.38/2.81 *** allocated 75937 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 256285 integers for clauses
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 6745
% 2.38/2.81 Kept: 4045
% 2.38/2.81 Inuse: 382
% 2.38/2.81 Deleted: 12
% 2.38/2.81 Deletedinuse: 5
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 113905 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 384427 integers for clauses
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 10290
% 2.38/2.81 Kept: 6056
% 2.38/2.81 Inuse: 499
% 2.38/2.81 Deleted: 24
% 2.38/2.81 Deletedinuse: 17
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 170857 integers for termspace/termends
% 2.38/2.81 *** allocated 576640 integers for clauses
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 13367
% 2.38/2.81 Kept: 8082
% 2.38/2.81 Inuse: 605
% 2.38/2.81 Deleted: 40
% 2.38/2.81 Deletedinuse: 33
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 17109
% 2.38/2.81 Kept: 10488
% 2.38/2.81 Inuse: 674
% 2.38/2.81 Deleted: 40
% 2.38/2.81 Deletedinuse: 33
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 256285 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 864960 integers for clauses
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 21280
% 2.38/2.81 Kept: 12565
% 2.38/2.81 Inuse: 752
% 2.38/2.81 Deleted: 42
% 2.38/2.81 Deletedinuse: 33
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 29219
% 2.38/2.81 Kept: 14876
% 2.38/2.81 Inuse: 781
% 2.38/2.81 Deleted: 63
% 2.38/2.81 Deletedinuse: 53
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 384427 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 34834
% 2.38/2.81 Kept: 16893
% 2.38/2.81 Inuse: 834
% 2.38/2.81 Deleted: 78
% 2.38/2.81 Deletedinuse: 66
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 1297440 integers for clauses
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 43299
% 2.38/2.81 Kept: 19046
% 2.38/2.81 Inuse: 900
% 2.38/2.81 Deleted: 91
% 2.38/2.81 Deletedinuse: 70
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying clauses:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 52141
% 2.38/2.81 Kept: 21089
% 2.38/2.81 Inuse: 935
% 2.38/2.81 Deleted: 2275
% 2.38/2.81 Deletedinuse: 71
% 2.38/2.81
% 2.38/2.81 *** allocated 576640 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 61866
% 2.38/2.81 Kept: 23356
% 2.38/2.81 Inuse: 973
% 2.38/2.81 Deleted: 2277
% 2.38/2.81 Deletedinuse: 71
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 68373
% 2.38/2.81 Kept: 25373
% 2.38/2.81 Inuse: 1023
% 2.38/2.81 Deleted: 2277
% 2.38/2.81 Deletedinuse: 71
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 77588
% 2.38/2.81 Kept: 27738
% 2.38/2.81 Inuse: 1058
% 2.38/2.81 Deleted: 2279
% 2.38/2.81 Deletedinuse: 73
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 1946160 integers for clauses
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 86888
% 2.38/2.81 Kept: 29850
% 2.38/2.81 Inuse: 1088
% 2.38/2.81 Deleted: 2279
% 2.38/2.81 Deletedinuse: 73
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81 *** allocated 864960 integers for termspace/termends
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Intermediate Status:
% 2.38/2.81 Generated: 96582
% 2.38/2.81 Kept: 31952
% 2.38/2.81 Inuse: 1120
% 2.38/2.81 Deleted: 2284
% 2.38/2.81 Deletedinuse: 75
% 2.38/2.81
% 2.38/2.81 Resimplifying inuse:
% 2.38/2.81 Done
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Bliksems!, er is een bewijs:
% 2.38/2.81 % SZS status Theorem
% 2.38/2.81 % SZS output start Refutation
% 2.38/2.81
% 2.38/2.81 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.38/2.81 , ! X = Y }.
% 2.38/2.81 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.81 (215) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.38/2.81 }.
% 2.38/2.81 (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 2.38/2.81 (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol52 ==> nil }.
% 2.38/2.81 (281) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.81 (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 2.38/2.81 (283) {G2,W6,D2,L2,V0,M2} I;d(281);d(281);d(280) { skol46 ==> nil, alpha45
% 2.38/2.81 ( skol46, nil ) }.
% 2.38/2.81 (284) {G0,W7,D3,L2,V4,M2} I { ! alpha45( X, Y ), alpha44( skol47( Z, T ) )
% 2.38/2.81 }.
% 2.38/2.81 (285) {G0,W8,D3,L2,V3,M2} I { ! alpha45( X, Y ), segmentP( Y, skol47( Z, Y
% 2.38/2.81 ) ) }.
% 2.38/2.81 (288) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.38/2.81 (289) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 2.38/2.81 (844) {G3,W3,D2,L1,V0,M1} S(283);r(282) { alpha45( skol46, nil ) }.
% 2.38/2.81 (12554) {G1,W7,D2,L3,V1,M3} R(158,289);r(288) { ! ssList( nil ), ! X = nil
% 2.38/2.81 , ! alpha44( X ) }.
% 2.38/2.81 (12665) {G2,W5,D2,L2,V1,M2} S(12554);r(161) { ! X = nil, ! alpha44( X ) }.
% 2.38/2.81 (23125) {G3,W10,D2,L4,V2,M4} P(215,12665) { ! Y = X, ! alpha44( Y ), !
% 2.38/2.81 ssList( X ), ! segmentP( nil, X ) }.
% 2.38/2.81 (23353) {G4,W5,D2,L2,V1,M2} Q(23125);r(288) { ! alpha44( X ), ! segmentP(
% 2.38/2.81 nil, X ) }.
% 2.38/2.81 (32641) {G4,W4,D3,L1,V2,M1} R(284,844) { alpha44( skol47( X, Y ) ) }.
% 2.38/2.81 (32656) {G5,W5,D3,L1,V2,M1} R(32641,23353) { ! segmentP( nil, skol47( X, Y
% 2.38/2.81 ) ) }.
% 2.38/2.81 (32878) {G6,W0,D0,L0,V0,M0} R(285,844);r(32656) { }.
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 % SZS output end Refutation
% 2.38/2.81 found a proof!
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Unprocessed initial clauses:
% 2.38/2.81
% 2.38/2.81 (32880) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.38/2.81 , ! X = Y }.
% 2.38/2.81 (32881) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32882) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.38/2.81 (32883) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 2.38/2.81 (32884) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 2.38/2.81 (32885) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.38/2.81 , Y ), ssList( skol2( Z, T ) ) }.
% 2.38/2.81 (32886) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.38/2.81 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.38/2.81 (32887) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.38/2.81 (32888) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.38/2.81 ) ) }.
% 2.38/2.81 (32889) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.38/2.81 ( X, Y, Z ) ) ) = X }.
% 2.38/2.81 (32890) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.38/2.81 , alpha1( X, Y, Z ) }.
% 2.38/2.81 (32891) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.38/2.81 skol4( Y ) ) }.
% 2.38/2.81 (32892) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.38/2.81 skol4( X ), nil ) = X }.
% 2.38/2.81 (32893) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.38/2.81 nil ) = X, singletonP( X ) }.
% 2.38/2.81 (32894) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.81 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.38/2.81 (32895) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.81 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.38/2.81 (32896) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.38/2.81 (32897) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.81 , Y ), ssList( skol6( Z, T ) ) }.
% 2.38/2.81 (32898) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.81 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.38/2.81 (32899) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.38/2.81 (32900) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.81 , Y ), ssList( skol7( Z, T ) ) }.
% 2.38/2.81 (32901) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.81 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.38/2.81 (32902) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.38/2.81 (32903) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.38/2.81 ) ) }.
% 2.38/2.81 (32904) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.38/2.81 skol8( X, Y, Z ) ) = X }.
% 2.38/2.81 (32905) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.38/2.81 , alpha2( X, Y, Z ) }.
% 2.38/2.81 (32906) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.38/2.81 Y ), alpha3( X, Y ) }.
% 2.38/2.81 (32907) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.38/2.81 cyclefreeP( X ) }.
% 2.38/2.81 (32908) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.38/2.81 cyclefreeP( X ) }.
% 2.38/2.81 (32909) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (32910) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.38/2.81 (32911) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32912) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha28( X, Y, Z, T ) }.
% 2.38/2.81 (32913) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (32914) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.38/2.81 alpha21( X, Y, Z ) }.
% 2.38/2.81 (32915) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha35( X, Y, Z, T, U ) }.
% 2.38/2.81 (32916) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (32917) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.38/2.81 ), alpha28( X, Y, Z, T ) }.
% 2.38/2.81 (32918) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha41( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32919) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha35( X, Y, Z, T, U ) }.
% 2.38/2.81 (32920) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.38/2.81 (32921) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.38/2.81 (32922) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32923) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.38/2.81 W ) }.
% 2.38/2.81 (32924) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.38/2.81 X ) }.
% 2.38/2.81 (32925) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.38/2.81 (32926) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.38/2.81 (32927) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.38/2.81 ( Y ), alpha4( X, Y ) }.
% 2.38/2.81 (32928) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.38/2.81 totalorderP( X ) }.
% 2.38/2.81 (32929) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.38/2.81 totalorderP( X ) }.
% 2.38/2.81 (32930) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (32931) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.38/2.81 (32932) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32933) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha29( X, Y, Z, T ) }.
% 2.38/2.81 (32934) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (32935) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.38/2.81 alpha22( X, Y, Z ) }.
% 2.38/2.81 (32936) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha36( X, Y, Z, T, U ) }.
% 2.38/2.81 (32937) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (32938) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.38/2.81 ), alpha29( X, Y, Z, T ) }.
% 2.38/2.81 (32939) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha42( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32940) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha36( X, Y, Z, T, U ) }.
% 2.38/2.81 (32941) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.38/2.81 (32942) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.38/2.81 (32943) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32944) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.38/2.81 W ) }.
% 2.38/2.81 (32945) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.38/2.81 }.
% 2.38/2.81 (32946) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.38/2.81 (32947) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.38/2.81 (32948) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.38/2.81 ( Y ), alpha5( X, Y ) }.
% 2.38/2.81 (32949) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.38/2.81 strictorderP( X ) }.
% 2.38/2.81 (32950) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.38/2.81 strictorderP( X ) }.
% 2.38/2.81 (32951) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (32952) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.38/2.81 (32953) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32954) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha30( X, Y, Z, T ) }.
% 2.38/2.81 (32955) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (32956) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.38/2.81 alpha23( X, Y, Z ) }.
% 2.38/2.81 (32957) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha37( X, Y, Z, T, U ) }.
% 2.38/2.81 (32958) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (32959) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.38/2.81 ), alpha30( X, Y, Z, T ) }.
% 2.38/2.81 (32960) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha43( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32961) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha37( X, Y, Z, T, U ) }.
% 2.38/2.81 (32962) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.38/2.81 (32963) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.38/2.81 (32964) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32965) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.38/2.81 W ) }.
% 2.38/2.81 (32966) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.38/2.81 }.
% 2.38/2.81 (32967) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.38/2.81 (32968) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.38/2.81 (32969) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.38/2.81 ssItem( Y ), alpha6( X, Y ) }.
% 2.38/2.81 (32970) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.38/2.81 totalorderedP( X ) }.
% 2.38/2.81 (32971) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.38/2.81 totalorderedP( X ) }.
% 2.38/2.81 (32972) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (32973) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.38/2.81 (32974) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32975) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha24( X, Y, Z, T ) }.
% 2.38/2.81 (32976) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (32977) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.38/2.81 alpha15( X, Y, Z ) }.
% 2.38/2.81 (32978) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha31( X, Y, Z, T, U ) }.
% 2.38/2.81 (32979) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (32980) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.38/2.81 ), alpha24( X, Y, Z, T ) }.
% 2.38/2.81 (32981) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha38( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32982) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha31( X, Y, Z, T, U ) }.
% 2.38/2.81 (32983) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.38/2.81 (32984) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.38/2.81 (32985) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (32986) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.38/2.81 }.
% 2.38/2.81 (32987) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.38/2.81 ssItem( Y ), alpha7( X, Y ) }.
% 2.38/2.81 (32988) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.38/2.81 strictorderedP( X ) }.
% 2.38/2.81 (32989) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.38/2.81 strictorderedP( X ) }.
% 2.38/2.81 (32990) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (32991) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.38/2.81 (32992) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (32993) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha25( X, Y, Z, T ) }.
% 2.38/2.81 (32994) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (32995) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.38/2.81 alpha16( X, Y, Z ) }.
% 2.38/2.81 (32996) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha32( X, Y, Z, T, U ) }.
% 2.38/2.81 (32997) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (32998) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.38/2.81 ), alpha25( X, Y, Z, T ) }.
% 2.38/2.81 (32999) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha39( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (33000) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha32( X, Y, Z, T, U ) }.
% 2.38/2.81 (33001) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.38/2.81 (33002) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.38/2.81 (33003) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (33004) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.38/2.81 }.
% 2.38/2.81 (33005) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.38/2.81 ssItem( Y ), alpha8( X, Y ) }.
% 2.38/2.81 (33006) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.38/2.81 duplicatefreeP( X ) }.
% 2.38/2.81 (33007) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.38/2.81 duplicatefreeP( X ) }.
% 2.38/2.81 (33008) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (33009) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.38/2.81 (33010) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (33011) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha26( X, Y, Z, T ) }.
% 2.38/2.81 (33012) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (33013) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.38/2.81 alpha17( X, Y, Z ) }.
% 2.38/2.81 (33014) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha33( X, Y, Z, T, U ) }.
% 2.38/2.81 (33015) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (33016) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.38/2.81 ), alpha26( X, Y, Z, T ) }.
% 2.38/2.81 (33017) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.81 alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (33018) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.38/2.81 alpha33( X, Y, Z, T, U ) }.
% 2.38/2.81 (33019) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.38/2.81 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.38/2.81 (33020) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.81 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.38/2.81 (33021) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.81 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (33022) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.81 (33023) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.38/2.81 ( Y ), alpha9( X, Y ) }.
% 2.38/2.81 (33024) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.38/2.81 equalelemsP( X ) }.
% 2.38/2.81 (33025) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.38/2.81 equalelemsP( X ) }.
% 2.38/2.81 (33026) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.38/2.81 , Y, Z ) }.
% 2.38/2.81 (33027) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.38/2.81 (33028) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (33029) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.38/2.81 alpha27( X, Y, Z, T ) }.
% 2.38/2.81 (33030) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.38/2.81 Z ) }.
% 2.38/2.81 (33031) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.38/2.81 alpha18( X, Y, Z ) }.
% 2.38/2.81 (33032) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.81 alpha34( X, Y, Z, T, U ) }.
% 2.38/2.81 (33033) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.38/2.81 X, Y, Z, T ) }.
% 2.38/2.81 (33034) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.38/2.81 ), alpha27( X, Y, Z, T ) }.
% 2.38/2.81 (33035) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.38/2.81 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.38/2.81 (33036) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.38/2.81 alpha34( X, Y, Z, T, U ) }.
% 2.38/2.81 (33037) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.38/2.81 (33038) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.38/2.81 , ! X = Y }.
% 2.38/2.81 (33039) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 (33040) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.38/2.81 Y, X ) ) }.
% 2.38/2.81 (33041) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.38/2.81 (33042) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.38/2.81 = X }.
% 2.38/2.81 (33043) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.81 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.38/2.81 (33044) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.81 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.38/2.81 (33045) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.38/2.81 ) }.
% 2.38/2.81 (33046) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 2.38/2.81 ) }.
% 2.38/2.81 (33047) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 2.38/2.81 skol43( X ) ) = X }.
% 2.38/2.81 (33048) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.38/2.81 Y, X ) }.
% 2.38/2.81 (33049) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.38/2.81 }.
% 2.38/2.81 (33050) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.38/2.81 X ) ) = Y }.
% 2.38/2.81 (33051) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.38/2.81 }.
% 2.38/2.81 (33052) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.38/2.81 X ) ) = X }.
% 2.38/2.81 (33053) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.38/2.81 , Y ) ) }.
% 2.38/2.81 (33054) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.81 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.38/2.81 (33055) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.38/2.81 (33056) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.38/2.81 , ! leq( Y, X ), X = Y }.
% 2.38/2.81 (33057) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.81 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.38/2.81 (33058) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.38/2.81 (33059) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.38/2.81 , leq( Y, X ) }.
% 2.38/2.81 (33060) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.38/2.81 , geq( X, Y ) }.
% 2.38/2.81 (33061) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.81 , ! lt( Y, X ) }.
% 2.38/2.81 (33062) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.81 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.38/2.81 (33063) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.38/2.81 , lt( Y, X ) }.
% 2.38/2.81 (33064) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.38/2.81 , gt( X, Y ) }.
% 2.38/2.81 (33065) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.38/2.81 (33066) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.38/2.81 (33067) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.38/2.81 (33068) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.38/2.81 (33069) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.38/2.81 (33070) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.38/2.81 (33071) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.38/2.81 (33072) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.38/2.81 (33073) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.38/2.81 (33074) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.81 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.38/2.81 (33075) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.38/2.81 (33076) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.38/2.81 (33077) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.38/2.81 (33078) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.38/2.81 , T ) }.
% 2.38/2.81 (33079) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.81 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.38/2.81 cons( Y, T ) ) }.
% 2.38/2.81 (33080) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.38/2.81 (33081) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.38/2.81 X }.
% 2.38/2.81 (33082) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.38/2.81 ) }.
% 2.38/2.81 (33083) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.38/2.81 (33084) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.81 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.38/2.81 (33085) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.38/2.81 (33086) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.38/2.81 (33087) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.38/2.81 (33088) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.38/2.81 }.
% 2.38/2.81 (33089) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.38/2.81 }.
% 2.38/2.81 (33090) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.38/2.81 (33091) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.81 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.38/2.81 (33092) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.38/2.81 (33093) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.38/2.81 }.
% 2.38/2.81 (33094) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.38/2.81 (33095) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.38/2.81 }.
% 2.38/2.81 (33096) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.38/2.81 }.
% 2.38/2.81 (33097) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.38/2.81 }.
% 2.38/2.81 (33098) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.38/2.81 (33099) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.38/2.81 }.
% 2.38/2.81 (33100) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.38/2.81 (33101) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.38/2.81 ) }.
% 2.38/2.81 (33102) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.38/2.81 (33103) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.38/2.81 ) }.
% 2.38/2.81 (33104) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.38/2.81 (33105) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.38/2.81 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.38/2.81 (33106) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.38/2.81 totalorderedP( cons( X, Y ) ) }.
% 2.38/2.81 (33107) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.38/2.81 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.38/2.81 (33108) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.38/2.81 (33109) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.38/2.81 (33110) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.38/2.81 }.
% 2.38/2.81 (33111) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.38/2.81 (33112) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.38/2.81 (33113) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.38/2.81 alpha19( X, Y ) }.
% 2.38/2.81 (33114) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.38/2.81 ) ) }.
% 2.38/2.81 (33115) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.38/2.81 (33116) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.38/2.81 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.38/2.81 (33117) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.38/2.81 strictorderedP( cons( X, Y ) ) }.
% 2.38/2.81 (33118) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.38/2.81 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.38/2.81 (33119) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.38/2.81 (33120) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.38/2.81 (33121) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.38/2.81 }.
% 2.38/2.81 (33122) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.38/2.81 (33123) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.38/2.81 (33124) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.38/2.81 alpha20( X, Y ) }.
% 2.38/2.81 (33125) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.38/2.81 ) ) }.
% 2.38/2.81 (33126) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.38/2.81 (33127) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.38/2.81 }.
% 2.38/2.81 (33128) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.38/2.81 (33129) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.38/2.81 ) }.
% 2.38/2.81 (33130) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.38/2.81 ) }.
% 2.38/2.81 (33131) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.38/2.81 ) }.
% 2.38/2.81 (33132) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.38/2.81 ) }.
% 2.38/2.81 (33133) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.38/2.81 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.38/2.81 (33134) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.38/2.81 X ) ) = X }.
% 2.38/2.81 (33135) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.38/2.81 (33136) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.38/2.81 (33137) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.38/2.81 = app( cons( Y, nil ), X ) }.
% 2.38/2.81 (33138) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.81 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.38/2.81 (33139) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.38/2.81 X, Y ), nil = Y }.
% 2.38/2.81 (33140) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.38/2.81 X, Y ), nil = X }.
% 2.38/2.81 (33141) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.38/2.81 nil = X, nil = app( X, Y ) }.
% 2.38/2.81 (33142) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.38/2.81 (33143) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.38/2.81 app( X, Y ) ) = hd( X ) }.
% 2.38/2.81 (33144) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.38/2.81 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.38/2.81 (33145) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.38/2.82 , ! geq( Y, X ), X = Y }.
% 2.38/2.82 (33146) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.82 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.38/2.82 (33147) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.38/2.82 (33148) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.38/2.82 (33149) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.82 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.38/2.82 (33150) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.38/2.82 , X = Y, lt( X, Y ) }.
% 2.38/2.82 (33151) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.82 , ! X = Y }.
% 2.38/2.82 (33152) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.82 , leq( X, Y ) }.
% 2.38/2.82 (33153) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.38/2.82 ( X, Y ), lt( X, Y ) }.
% 2.38/2.82 (33154) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.38/2.82 , ! gt( Y, X ) }.
% 2.38/2.82 (33155) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.82 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.38/2.82 (33156) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.38/2.82 (33157) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.38/2.82 (33158) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.38/2.82 (33159) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.38/2.82 (33160) {G0,W3,D2,L1,V0,M1} { nil = skol50 }.
% 2.38/2.82 (33161) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.38/2.82 (33162) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.38/2.82 (33163) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 2.38/2.82 (33164) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ), nil = skol52 }.
% 2.38/2.82 (33165) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ), nil = skol51 }.
% 2.38/2.82 (33166) {G0,W7,D3,L2,V4,M2} { ! alpha45( X, Y ), alpha44( skol47( Z, T ) )
% 2.38/2.82 }.
% 2.38/2.82 (33167) {G0,W8,D3,L2,V3,M2} { ! alpha45( X, Y ), segmentP( Y, skol47( Z, Y
% 2.38/2.82 ) ) }.
% 2.38/2.82 (33168) {G0,W8,D3,L2,V2,M2} { ! alpha45( X, Y ), segmentP( X, skol47( X, Y
% 2.38/2.82 ) ) }.
% 2.38/2.82 (33169) {G0,W11,D2,L4,V3,M4} { ! alpha44( Z ), ! segmentP( Y, Z ), !
% 2.38/2.82 segmentP( X, Z ), alpha45( X, Y ) }.
% 2.38/2.82 (33170) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 2.38/2.82 (33171) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 2.38/2.82 (33172) {G0,W7,D2,L3,V1,M3} { ! ssList( X ), ! neq( X, nil ), alpha44( X )
% 2.38/2.82 }.
% 2.38/2.82
% 2.38/2.82
% 2.38/2.82 Total Proof:
% 2.38/2.82
% 2.38/2.82 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.38/2.82 neq( X, Y ), ! X = Y }.
% 2.38/2.82 parent0: (33038) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 2.38/2.82 neq( X, Y ), ! X = Y }.
% 2.38/2.82 substitution0:
% 2.38/2.82 X := X
% 2.38/2.82 Y := Y
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 1 ==> 1
% 2.38/2.82 2 ==> 2
% 2.38/2.82 3 ==> 3
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.82 parent0: (33041) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 subsumption: (215) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! segmentP( nil,
% 2.38/2.82 X ), nil = X }.
% 2.38/2.82 parent0: (33095) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X )
% 2.38/2.82 , nil = X }.
% 2.38/2.82 substitution0:
% 2.38/2.82 X := X
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 1 ==> 1
% 2.38/2.82 2 ==> 2
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 eqswap: (33855) {G0,W3,D2,L1,V0,M1} { skol50 = nil }.
% 2.38/2.82 parent0[0]: (33160) {G0,W3,D2,L1,V0,M1} { nil = skol50 }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 2.38/2.82 parent0: (33855) {G0,W3,D2,L1,V0,M1} { skol50 = nil }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 paramod: (34496) {G1,W3,D2,L1,V0,M1} { nil = skol52 }.
% 2.38/2.82 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 2.38/2.82 parent1[0; 1]: (33161) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82 substitution1:
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 eqswap: (34497) {G1,W3,D2,L1,V0,M1} { skol52 = nil }.
% 2.38/2.82 parent0[0]: (34496) {G1,W3,D2,L1,V0,M1} { nil = skol52 }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 subsumption: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol52 ==> nil }.
% 2.38/2.82 parent0: (34497) {G1,W3,D2,L1,V0,M1} { skol52 = nil }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 eqswap: (34846) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.38/2.82 parent0[0]: (33162) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.82 parent0: (34846) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.38/2.82 substitution0:
% 2.38/2.82 end
% 2.38/2.82 permutation0:
% 2.38/2.82 0 ==> 0
% 2.38/2.82 end
% 2.38/2.82
% 2.38/2.82 eqswap: (35196) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 2.38/2.82 parent0[0]: (33163) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 2.38/2.83 parent0: (35196) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 paramod: (36420) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha45( skol51,
% 2.38/2.83 skol52 ) }.
% 2.38/2.83 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.83 parent1[1; 2]: (33165) {G0,W6,D2,L2,V0,M2} { alpha45( skol51, skol52 ),
% 2.38/2.83 nil = skol51 }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 paramod: (36422) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol52 ), nil =
% 2.38/2.83 skol46 }.
% 2.38/2.83 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.83 parent1[1; 1]: (36420) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha45( skol51
% 2.38/2.83 , skol52 ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 paramod: (36423) {G2,W6,D2,L2,V0,M2} { alpha45( skol46, nil ), nil =
% 2.38/2.83 skol46 }.
% 2.38/2.83 parent0[0]: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol52 ==> nil }.
% 2.38/2.83 parent1[0; 2]: (36422) {G1,W6,D2,L2,V0,M2} { alpha45( skol46, skol52 ),
% 2.38/2.83 nil = skol46 }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 eqswap: (36424) {G2,W6,D2,L2,V0,M2} { skol46 = nil, alpha45( skol46, nil )
% 2.38/2.83 }.
% 2.38/2.83 parent0[1]: (36423) {G2,W6,D2,L2,V0,M2} { alpha45( skol46, nil ), nil =
% 2.38/2.83 skol46 }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (283) {G2,W6,D2,L2,V0,M2} I;d(281);d(281);d(280) { skol46 ==>
% 2.38/2.83 nil, alpha45( skol46, nil ) }.
% 2.38/2.83 parent0: (36424) {G2,W6,D2,L2,V0,M2} { skol46 = nil, alpha45( skol46, nil
% 2.38/2.83 ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 1 ==> 1
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (284) {G0,W7,D3,L2,V4,M2} I { ! alpha45( X, Y ), alpha44(
% 2.38/2.83 skol47( Z, T ) ) }.
% 2.38/2.83 parent0: (33166) {G0,W7,D3,L2,V4,M2} { ! alpha45( X, Y ), alpha44( skol47
% 2.38/2.83 ( Z, T ) ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 Y := Y
% 2.38/2.83 Z := Z
% 2.38/2.83 T := T
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 1 ==> 1
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (285) {G0,W8,D3,L2,V3,M2} I { ! alpha45( X, Y ), segmentP( Y,
% 2.38/2.83 skol47( Z, Y ) ) }.
% 2.38/2.83 parent0: (33167) {G0,W8,D3,L2,V3,M2} { ! alpha45( X, Y ), segmentP( Y,
% 2.38/2.83 skol47( Z, Y ) ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 Y := Y
% 2.38/2.83 Z := Z
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 1 ==> 1
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (288) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.38/2.83 parent0: (33170) {G0,W4,D2,L2,V1,M2} { ! alpha44( X ), ssList( X ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 1 ==> 1
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (289) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil )
% 2.38/2.83 }.
% 2.38/2.83 parent0: (33171) {G0,W5,D2,L2,V1,M2} { ! alpha44( X ), neq( X, nil ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 1 ==> 1
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 resolution: (37837) {G1,W3,D2,L1,V0,M1} { alpha45( skol46, nil ) }.
% 2.38/2.83 parent0[0]: (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 2.38/2.83 parent1[0]: (283) {G2,W6,D2,L2,V0,M2} I;d(281);d(281);d(280) { skol46 ==>
% 2.38/2.83 nil, alpha45( skol46, nil ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 subsumption: (844) {G3,W3,D2,L1,V0,M1} S(283);r(282) { alpha45( skol46, nil
% 2.38/2.83 ) }.
% 2.38/2.83 parent0: (37837) {G1,W3,D2,L1,V0,M1} { alpha45( skol46, nil ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 end
% 2.38/2.83 permutation0:
% 2.38/2.83 0 ==> 0
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 eqswap: (37838) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 2.38/2.83 ), ! neq( X, Y ) }.
% 2.38/2.83 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.38/2.83 neq( X, Y ), ! X = Y }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 Y := Y
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 resolution: (37839) {G1,W9,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), !
% 2.38/2.83 ssList( nil ), ! alpha44( X ) }.
% 2.38/2.83 parent0[3]: (37838) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 2.38/2.83 ssList( Y ), ! neq( X, Y ) }.
% 2.38/2.83 parent1[1]: (289) {G0,W5,D2,L2,V1,M2} I { ! alpha44( X ), neq( X, nil ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 Y := nil
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 X := X
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 resolution: (37843) {G1,W9,D2,L4,V1,M4} { ! nil = X, ! ssList( nil ), !
% 2.38/2.83 alpha44( X ), ! alpha44( X ) }.
% 2.38/2.83 parent0[1]: (37839) {G1,W9,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), !
% 2.38/2.83 ssList( nil ), ! alpha44( X ) }.
% 2.38/2.83 parent1[1]: (288) {G0,W4,D2,L2,V1,M2} I { ! alpha44( X ), ssList( X ) }.
% 2.38/2.83 substitution0:
% 2.38/2.83 X := X
% 2.38/2.83 end
% 2.38/2.83 substitution1:
% 2.38/2.83 X := X
% 2.38/2.83 end
% 2.38/2.83
% 2.38/2.83 eqswap: (37846) {G1,W9,D2,L4,V1,M4} { ! X = nil, ! ssList( nil ), !
% 2.38/2.83 alpha44( X ), ! alpha44( X ) }.
% 2.38/2.83 parent0[0]: (37843) {G1,W9,D2,L4,V1,M4} { ! nil = XCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------