TSTP Solution File: SWC001+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 19:32:51 EDT 2022
% Result : Theorem 3.03s 3.41s
% Output : Refutation 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 08:33:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.75/1.15 { ssItem( skol1 ) }.
% 0.75/1.15 { ssItem( skol47 ) }.
% 0.75/1.15 { ! skol1 = skol47 }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.75/1.15 Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.75/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.75/1.15 ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.75/1.15 ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.75/1.15 = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.75/1.15 , Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.75/1.15 segmentP( X, Y ) }.
% 0.75/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.75/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.75/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.75/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.75/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.75/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.75/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.75/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.75/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.75/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.75/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.75/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.75/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.75/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.75/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.75/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.75/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.75/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.75/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.75/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.75/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, leq( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.75/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.75/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.75/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, lt( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.75/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.75/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.75/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, ! Y = Z }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.75/1.15 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.75/1.15 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.75/1.15 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.75/1.15 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.75/1.15 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.75/1.15 Z }.
% 0.75/1.15 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.75/1.15 { ssList( nil ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.75/1.15 ) = cons( T, Y ), Z = T }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.75/1.15 ) = cons( T, Y ), Y = X }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.75/1.15 ( cons( Z, Y ), X ) }.
% 0.75/1.15 { ! ssList( X ), app( nil, X ) = X }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.75/1.15 , leq( X, Z ) }.
% 0.75/1.15 { ! ssItem( X ), leq( X, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.75/1.15 lt( X, Z ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.75/1.15 , memberP( Y, X ), memberP( Z, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.75/1.15 app( Y, Z ), X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.75/1.15 app( Y, Z ), X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.75/1.15 , X = Y, memberP( Z, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.75/1.15 ), X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.75/1.15 cons( Y, Z ), X ) }.
% 0.75/1.15 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.75/1.15 { ! singletonP( nil ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.75/1.15 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.75/1.15 = Y }.
% 0.75/1.15 { ! ssList( X ), frontsegP( X, X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.75/1.15 frontsegP( app( X, Z ), Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.75/1.15 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.75/1.15 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.75/1.15 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.75/1.15 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.75/1.15 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.75/1.15 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.75/1.15 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.75/1.15 Y }.
% 0.75/1.15 { ! ssList( X ), rearsegP( X, X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.75/1.15 ( app( Z, X ), Y ) }.
% 0.75/1.15 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.75/1.15 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.75/1.15 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.75/1.15 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.75/1.15 Y }.
% 0.75/1.15 { ! ssList( X ), segmentP( X, X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.75/1.15 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.75/1.15 { ! ssList( X ), segmentP( X, nil ) }.
% 0.75/1.15 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.75/1.15 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.75/1.15 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.75/1.15 { cyclefreeP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.75/1.15 { totalorderP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.75/1.15 { strictorderP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.75/1.15 { totalorderedP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.75/1.15 alpha10( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.75/1.15 .
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.75/1.15 Y ) ) }.
% 0.75/1.15 { ! alpha10( X, Y ), ! nil = Y }.
% 0.75/1.15 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.75/1.15 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.75/1.15 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.75/1.15 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.75/1.15 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.75/1.15 { strictorderedP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.75/1.15 alpha11( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.75/1.15 .
% 0.75/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.75/1.15 , Y ) ) }.
% 0.75/1.15 { ! alpha11( X, Y ), ! nil = Y }.
% 0.75/1.15 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.75/1.15 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.75/1.15 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.75/1.15 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.75/1.15 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.75/1.15 { duplicatefreeP( nil ) }.
% 0.75/1.15 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.75/1.15 { equalelemsP( nil ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.75/1.15 ( Y ) = tl( X ), Y = X }.
% 0.75/1.15 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.75/1.15 , Z = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.75/1.15 , Z = X }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.75/1.15 ( X, app( Y, Z ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), app( X, nil ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.75/1.15 Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.75/1.15 , geq( X, Z ) }.
% 0.75/1.15 { ! ssItem( X ), geq( X, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! lt( X, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.75/1.15 , lt( X, Z ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.75/1.15 gt( X, Z ) }.
% 0.75/1.15 { ssList( skol46 ) }.
% 0.75/1.15 { ssList( skol49 ) }.
% 0.75/1.15 { ssList( skol50 ) }.
% 0.75/1.15 { ssList( skol51 ) }.
% 0.75/1.15 { skol49 = skol51 }.
% 0.75/1.15 { skol46 = skol50 }.
% 0.75/1.15 { duplicatefreeP( skol50 ) }.
% 0.75/1.15 { ! ssItem( X ), memberP( skol51, X ), ! memberP( skol50, X ) }.
% 0.75/1.15 { ! ssItem( X ), memberP( skol50, X ), ! memberP( skol51, X ) }.
% 0.75/1.15 { alpha44( skol46, skol49, skol52 ), ! duplicatefreeP( skol46 ) }.
% 0.75/1.15 { ! memberP( skol49, skol52 ), ! memberP( skol46, skol52 ), !
% 0.75/1.15 duplicatefreeP( skol46 ) }.
% 0.75/1.15 { ! alpha44( X, Y, Z ), ssItem( Z ) }.
% 0.75/1.15 { ! alpha44( X, Y, Z ), memberP( Y, Z ), memberP( X, Z ) }.
% 0.75/1.15 { ! ssItem( Z ), ! memberP( Y, Z ), alpha44( X, Y, Z ) }.
% 0.75/1.15 { ! ssItem( Z ), ! memberP( X, Z ), alpha44( X, Y, Z ) }.
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for clauses
% 0.75/1.15 percentage equality = 0.124709, percentage horn = 0.762069
% 0.75/1.15 This is a problem with some equality
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Options Used:
% 0.75/1.15
% 0.75/1.15 useres = 1
% 0.75/1.15 useparamod = 1
% 0.75/1.15 useeqrefl = 1
% 0.75/1.15 useeqfact = 1
% 0.75/1.15 usefactor = 1
% 0.75/1.15 usesimpsplitting = 0
% 0.75/1.15 usesimpdemod = 5
% 0.75/1.15 usesimpres = 3
% 0.75/1.15
% 0.75/1.15 resimpinuse = 1000
% 0.75/1.15 resimpclauses = 20000
% 0.75/1.15 substype = eqrewr
% 0.75/1.15 backwardsubs = 1
% 0.75/1.15 selectoldest = 5
% 0.75/1.15
% 0.75/1.15 litorderings [0] = split
% 0.75/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.15
% 0.75/1.15 termordering = kbo
% 0.75/1.15
% 0.75/1.15 litapriori = 0
% 0.75/1.15 termapriori = 1
% 0.75/1.15 litaposteriori = 0
% 0.75/1.15 termaposteriori = 0
% 0.75/1.15 demodaposteriori = 0
% 0.75/1.15 ordereqreflfact = 0
% 0.75/1.15
% 0.75/1.15 litselect = negord
% 0.75/1.15
% 0.75/1.15 maxweight = 15
% 0.75/1.15 maxdepth = 30000
% 0.75/1.15 maxlength = 115
% 0.75/1.15 maxnrvars = 195
% 0.75/1.15 excuselevel = 1
% 0.75/1.15 increasemaxweight = 1
% 0.75/1.15
% 0.75/1.15 maxselected = 10000000
% 0.75/1.15 maxnrclauses = 10000000
% 0.75/1.15
% 0.75/1.15 showgenerated = 0
% 0.75/1.15 showkept = 0
% 0.75/1.15 showselected = 0
% 0.75/1.15 showdeleted = 0
% 0.75/1.15 showresimp = 1
% 0.75/1.15 showstatus = 2000
% 0.75/1.15
% 0.75/1.15 prologoutput = 0
% 0.75/1.15 nrgoals = 5000000
% 0.75/1.15 totalproof = 1
% 0.75/1.15
% 0.75/1.15 Symbols occurring in the translation:
% 0.75/1.15
% 0.75/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.15 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.15 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.75/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.15 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.75/1.15 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.75/1.15 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.75/1.15 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.21/1.65 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.21/1.65 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.21/1.65 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.21/1.65 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.21/1.65 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.21/1.65 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.21/1.65 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.21/1.65 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.21/1.65 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.21/1.65 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.21/1.65 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.21/1.65 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.21/1.65 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.21/1.65 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.21/1.65 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.21/1.65 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.21/1.65 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.21/1.65 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.21/1.65 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.21/1.65 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.21/1.65 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.21/1.65 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.21/1.65 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.21/1.65 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.21/1.65 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.21/1.65 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.21/1.65 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.21/1.65 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.21/1.65 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.21/1.65 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.21/1.65 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.21/1.65 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.21/1.65 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.21/1.65 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.21/1.65 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.21/1.65 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.21/1.65 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.21/1.65 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.21/1.65 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.21/1.65 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.21/1.65 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.21/1.65 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.21/1.65 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.21/1.65 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.21/1.65 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.21/1.65 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.21/1.65 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.21/1.65 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.21/1.65 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.21/1.65 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.21/1.65 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.21/1.65 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.21/1.65 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.21/1.65 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.21/1.65 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.21/1.65 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.21/1.65 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.21/1.65 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.21/1.65 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.21/1.65 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.21/1.65 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.21/1.65 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.21/1.65 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.21/1.65 alpha44 [108, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.21/1.65 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.21/1.65 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.21/1.65 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.21/1.65 skol4 [112, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.21/1.65 skol5 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.21/1.65 skol6 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.21/1.65 skol7 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.21/1.65 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.21/1.65 skol9 [117, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.21/1.65 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.21/1.65 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.21/1.65 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.21/1.65 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.21/1.65 skol14 [122, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.21/1.65 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.21/1.65 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 3.03/3.41 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 3.03/3.41 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 3.03/3.41 skol19 [127, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.03/3.41 skol20 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 3.03/3.41 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 3.03/3.41 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 3.03/3.41 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 3.03/3.41 skol24 [132, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.03/3.41 skol25 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 3.03/3.41 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 3.03/3.41 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 3.03/3.41 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 3.03/3.41 skol29 [137, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.03/3.41 skol30 [138, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.03/3.41 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 3.03/3.41 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 3.03/3.41 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 3.03/3.41 skol34 [142, 1] (w:1, o:31, a:1, s:1, b:1),
% 3.03/3.41 skol35 [143, 2] (w:1, o:108, a:1, s:1, b:1),
% 3.03/3.41 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 3.03/3.41 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 3.03/3.41 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 3.03/3.41 skol39 [147, 1] (w:1, o:32, a:1, s:1, b:1),
% 3.03/3.41 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 3.03/3.41 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.03/3.41 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 3.03/3.41 skol43 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.03/3.41 skol44 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.03/3.41 skol45 [153, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.03/3.41 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 3.03/3.41 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 3.03/3.41 skol48 [156, 1] (w:1, o:42, a:1, s:1, b:1),
% 3.03/3.41 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 3.03/3.41 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.03/3.41 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.03/3.41 skol52 [160, 0] (w:1, o:19, a:1, s:1, b:1).
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Starting Search:
% 3.03/3.41
% 3.03/3.41 *** allocated 22500 integers for clauses
% 3.03/3.41 *** allocated 33750 integers for clauses
% 3.03/3.41 *** allocated 50625 integers for clauses
% 3.03/3.41 *** allocated 22500 integers for termspace/termends
% 3.03/3.41 *** allocated 75937 integers for clauses
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 33750 integers for termspace/termends
% 3.03/3.41 *** allocated 113905 integers for clauses
% 3.03/3.41 *** allocated 50625 integers for termspace/termends
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 3682
% 3.03/3.41 Kept: 2014
% 3.03/3.41 Inuse: 227
% 3.03/3.41 Deleted: 6
% 3.03/3.41 Deletedinuse: 0
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 170857 integers for clauses
% 3.03/3.41 *** allocated 75937 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 256285 integers for clauses
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 6993
% 3.03/3.41 Kept: 4040
% 3.03/3.41 Inuse: 390
% 3.03/3.41 Deleted: 11
% 3.03/3.41 Deletedinuse: 5
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 113905 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 384427 integers for clauses
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 10423
% 3.03/3.41 Kept: 6082
% 3.03/3.41 Inuse: 505
% 3.03/3.41 Deleted: 18
% 3.03/3.41 Deletedinuse: 8
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 170857 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 576640 integers for clauses
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 13424
% 3.03/3.41 Kept: 8102
% 3.03/3.41 Inuse: 620
% 3.03/3.41 Deleted: 25
% 3.03/3.41 Deletedinuse: 15
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 16734
% 3.03/3.41 Kept: 10208
% 3.03/3.41 Inuse: 681
% 3.03/3.41 Deleted: 25
% 3.03/3.41 Deletedinuse: 15
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 256285 integers for termspace/termends
% 3.03/3.41 *** allocated 864960 integers for clauses
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 21273
% 3.03/3.41 Kept: 12232
% 3.03/3.41 Inuse: 751
% 3.03/3.41 Deleted: 29
% 3.03/3.41 Deletedinuse: 19
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 30041
% 3.03/3.41 Kept: 14662
% 3.03/3.41 Inuse: 781
% 3.03/3.41 Deleted: 55
% 3.03/3.41 Deletedinuse: 45
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 384427 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 36585
% 3.03/3.41 Kept: 16677
% 3.03/3.41 Inuse: 839
% 3.03/3.41 Deleted: 57
% 3.03/3.41 Deletedinuse: 45
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 1297440 integers for clauses
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 43135
% 3.03/3.41 Kept: 18747
% 3.03/3.41 Inuse: 899
% 3.03/3.41 Deleted: 63
% 3.03/3.41 Deletedinuse: 51
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying clauses:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 53546
% 3.03/3.41 Kept: 20998
% 3.03/3.41 Inuse: 934
% 3.03/3.41 Deleted: 2090
% 3.03/3.41 Deletedinuse: 51
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 576640 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 63123
% 3.03/3.41 Kept: 23151
% 3.03/3.41 Inuse: 973
% 3.03/3.41 Deleted: 2093
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 71792
% 3.03/3.41 Kept: 25212
% 3.03/3.41 Inuse: 1004
% 3.03/3.41 Deleted: 2097
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 79081
% 3.03/3.41 Kept: 27601
% 3.03/3.41 Inuse: 1054
% 3.03/3.41 Deleted: 2097
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 *** allocated 1946160 integers for clauses
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 89509
% 3.03/3.41 Kept: 29712
% 3.03/3.41 Inuse: 1071
% 3.03/3.41 Deleted: 2100
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 100504
% 3.03/3.41 Kept: 31794
% 3.03/3.41 Inuse: 1088
% 3.03/3.41 Deleted: 2100
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 *** allocated 864960 integers for termspace/termends
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 108126
% 3.03/3.41 Kept: 33896
% 3.03/3.41 Inuse: 1104
% 3.03/3.41 Deleted: 2100
% 3.03/3.41 Deletedinuse: 53
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Intermediate Status:
% 3.03/3.41 Generated: 121158
% 3.03/3.41 Kept: 36493
% 3.03/3.41 Inuse: 1141
% 3.03/3.41 Deleted: 2114
% 3.03/3.41 Deletedinuse: 67
% 3.03/3.41
% 3.03/3.41 Resimplifying inuse:
% 3.03/3.41 Done
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Bliksems!, er is een bewijs:
% 3.03/3.41 % SZS status Theorem
% 3.03/3.41 % SZS output start Refutation
% 3.03/3.41
% 3.03/3.41 (0) {G0,W10,D2,L4,V2,M4} I { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), !
% 3.03/3.41 X = Y }.
% 3.03/3.41 (1) {G0,W10,D2,L4,V2,M4} I { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y
% 3.03/3.41 ) }.
% 3.03/3.41 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.03/3.41 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.03/3.41 (281) {G1,W2,D2,L1,V0,M1} I;d(280) { duplicatefreeP( skol46 ) }.
% 3.03/3.41 (282) {G1,W8,D2,L3,V1,M3} I;d(279);d(280) { ! ssItem( X ), memberP( skol49
% 3.03/3.41 , X ), ! memberP( skol46, X ) }.
% 3.03/3.41 (283) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ), memberP( skol46
% 3.03/3.41 , X ), ! memberP( skol49, X ) }.
% 3.03/3.41 (284) {G2,W4,D2,L1,V0,M1} I;r(281) { alpha44( skol46, skol49, skol52 ) }.
% 3.03/3.41 (285) {G2,W6,D2,L2,V0,M2} I;r(281) { ! memberP( skol49, skol52 ), ! memberP
% 3.03/3.41 ( skol46, skol52 ) }.
% 3.03/3.41 (286) {G0,W6,D2,L2,V3,M2} I { ! alpha44( X, Y, Z ), ssItem( Z ) }.
% 3.03/3.41 (287) {G0,W10,D2,L3,V3,M3} I { ! alpha44( X, Y, Z ), memberP( Y, Z ),
% 3.03/3.41 memberP( X, Z ) }.
% 3.03/3.41 (290) {G1,W5,D2,L2,V1,M2} F(0);q { ! ssItem( X ), ! neq( X, X ) }.
% 3.03/3.41 (714) {G3,W2,D2,L1,V0,M1} R(286,284) { ssItem( skol52 ) }.
% 3.03/3.41 (723) {G4,W3,D2,L1,V0,M1} R(714,290) { ! neq( skol52, skol52 ) }.
% 3.03/3.41 (1054) {G3,W10,D2,L4,V1,M4} P(1,285);r(282) { ! memberP( skol46, X ), !
% 3.03/3.41 ssItem( X ), ! ssItem( skol52 ), neq( X, skol52 ) }.
% 3.03/3.41 (1059) {G4,W6,D2,L2,V0,M2} F(1054);r(714) { ! memberP( skol46, skol52 ),
% 3.03/3.41 neq( skol52, skol52 ) }.
% 3.03/3.41 (1062) {G5,W3,D2,L1,V0,M1} S(1059);r(723) { ! memberP( skol46, skol52 ) }.
% 3.03/3.41 (37059) {G6,W3,D2,L1,V0,M1} R(283,1062);r(714) { ! memberP( skol49, skol52
% 3.03/3.41 ) }.
% 3.03/3.41 (37211) {G7,W3,D2,L1,V0,M1} R(287,284);r(37059) { memberP( skol46, skol52 )
% 3.03/3.41 }.
% 3.03/3.41 (37220) {G8,W0,D0,L0,V0,M0} S(37211);r(1062) { }.
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 % SZS output end Refutation
% 3.03/3.41 found a proof!
% 3.03/3.41
% 3.03/3.41
% 3.03/3.41 Unprocessed initial clauses:
% 3.03/3.41
% 3.03/3.41 (37222) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.03/3.41 , ! X = Y }.
% 3.03/3.41 (37223) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37224) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.03/3.41 (37225) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.03/3.41 (37226) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.03/3.41 (37227) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.03/3.41 , Y ), ssList( skol2( Z, T ) ) }.
% 3.03/3.41 (37228) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.03/3.41 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.03/3.41 (37229) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.03/3.41 (37230) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.03/3.41 ) ) }.
% 3.03/3.41 (37231) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.03/3.41 ( X, Y, Z ) ) ) = X }.
% 3.03/3.41 (37232) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.03/3.41 , alpha1( X, Y, Z ) }.
% 3.03/3.41 (37233) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.03/3.41 skol4( Y ) ) }.
% 3.03/3.41 (37234) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.03/3.41 skol4( X ), nil ) = X }.
% 3.03/3.41 (37235) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.03/3.41 nil ) = X, singletonP( X ) }.
% 3.03/3.41 (37236) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.41 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.03/3.41 (37237) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.41 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.03/3.41 (37238) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.03/3.41 (37239) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.41 , Y ), ssList( skol6( Z, T ) ) }.
% 3.03/3.41 (37240) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.41 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.03/3.41 (37241) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.03/3.41 (37242) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.41 , Y ), ssList( skol7( Z, T ) ) }.
% 3.03/3.41 (37243) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.41 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.03/3.41 (37244) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.03/3.41 (37245) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.03/3.41 ) ) }.
% 3.03/3.41 (37246) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.03/3.41 skol8( X, Y, Z ) ) = X }.
% 3.03/3.41 (37247) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.03/3.41 , alpha2( X, Y, Z ) }.
% 3.03/3.41 (37248) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.03/3.41 Y ), alpha3( X, Y ) }.
% 3.03/3.41 (37249) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.03/3.41 cyclefreeP( X ) }.
% 3.03/3.41 (37250) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.03/3.41 cyclefreeP( X ) }.
% 3.03/3.41 (37251) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37252) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.03/3.41 (37253) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37254) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha28( X, Y, Z, T ) }.
% 3.03/3.41 (37255) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37256) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.03/3.41 alpha21( X, Y, Z ) }.
% 3.03/3.41 (37257) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha35( X, Y, Z, T, U ) }.
% 3.03/3.41 (37258) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37259) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.03/3.41 ), alpha28( X, Y, Z, T ) }.
% 3.03/3.41 (37260) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha41( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37261) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha35( X, Y, Z, T, U ) }.
% 3.03/3.41 (37262) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.03/3.41 (37263) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.03/3.41 (37264) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37265) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.03/3.41 W ) }.
% 3.03/3.41 (37266) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.03/3.41 X ) }.
% 3.03/3.41 (37267) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.03/3.41 (37268) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.03/3.41 (37269) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.03/3.41 ( Y ), alpha4( X, Y ) }.
% 3.03/3.41 (37270) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.03/3.41 totalorderP( X ) }.
% 3.03/3.41 (37271) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.03/3.41 totalorderP( X ) }.
% 3.03/3.41 (37272) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37273) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.03/3.41 (37274) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37275) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha29( X, Y, Z, T ) }.
% 3.03/3.41 (37276) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37277) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.03/3.41 alpha22( X, Y, Z ) }.
% 3.03/3.41 (37278) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha36( X, Y, Z, T, U ) }.
% 3.03/3.41 (37279) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37280) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.03/3.41 ), alpha29( X, Y, Z, T ) }.
% 3.03/3.41 (37281) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha42( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37282) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha36( X, Y, Z, T, U ) }.
% 3.03/3.41 (37283) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.03/3.41 (37284) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.03/3.41 (37285) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37286) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.03/3.41 W ) }.
% 3.03/3.41 (37287) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.03/3.41 }.
% 3.03/3.41 (37288) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.03/3.41 (37289) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.03/3.41 (37290) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.03/3.41 ( Y ), alpha5( X, Y ) }.
% 3.03/3.41 (37291) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.03/3.41 strictorderP( X ) }.
% 3.03/3.41 (37292) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.03/3.41 strictorderP( X ) }.
% 3.03/3.41 (37293) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37294) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.03/3.41 (37295) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37296) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha30( X, Y, Z, T ) }.
% 3.03/3.41 (37297) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37298) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.03/3.41 alpha23( X, Y, Z ) }.
% 3.03/3.41 (37299) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha37( X, Y, Z, T, U ) }.
% 3.03/3.41 (37300) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37301) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.03/3.41 ), alpha30( X, Y, Z, T ) }.
% 3.03/3.41 (37302) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha43( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37303) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha37( X, Y, Z, T, U ) }.
% 3.03/3.41 (37304) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.03/3.41 (37305) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.03/3.41 (37306) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37307) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.03/3.41 W ) }.
% 3.03/3.41 (37308) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.03/3.41 }.
% 3.03/3.41 (37309) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.03/3.41 (37310) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.03/3.41 (37311) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.03/3.41 ssItem( Y ), alpha6( X, Y ) }.
% 3.03/3.41 (37312) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.03/3.41 totalorderedP( X ) }.
% 3.03/3.41 (37313) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.03/3.41 totalorderedP( X ) }.
% 3.03/3.41 (37314) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37315) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.03/3.41 (37316) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37317) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha24( X, Y, Z, T ) }.
% 3.03/3.41 (37318) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37319) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.03/3.41 alpha15( X, Y, Z ) }.
% 3.03/3.41 (37320) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha31( X, Y, Z, T, U ) }.
% 3.03/3.41 (37321) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37322) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.03/3.41 ), alpha24( X, Y, Z, T ) }.
% 3.03/3.41 (37323) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha38( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37324) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha31( X, Y, Z, T, U ) }.
% 3.03/3.41 (37325) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.03/3.41 (37326) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.03/3.41 (37327) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37328) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.03/3.41 }.
% 3.03/3.41 (37329) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.03/3.41 ssItem( Y ), alpha7( X, Y ) }.
% 3.03/3.41 (37330) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.03/3.41 strictorderedP( X ) }.
% 3.03/3.41 (37331) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.03/3.41 strictorderedP( X ) }.
% 3.03/3.41 (37332) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37333) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.03/3.41 (37334) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37335) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha25( X, Y, Z, T ) }.
% 3.03/3.41 (37336) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37337) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.03/3.41 alpha16( X, Y, Z ) }.
% 3.03/3.41 (37338) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha32( X, Y, Z, T, U ) }.
% 3.03/3.41 (37339) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37340) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.03/3.41 ), alpha25( X, Y, Z, T ) }.
% 3.03/3.41 (37341) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha39( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37342) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha32( X, Y, Z, T, U ) }.
% 3.03/3.41 (37343) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.03/3.41 (37344) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.03/3.41 (37345) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37346) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.03/3.41 }.
% 3.03/3.41 (37347) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.03/3.41 ssItem( Y ), alpha8( X, Y ) }.
% 3.03/3.41 (37348) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.03/3.41 duplicatefreeP( X ) }.
% 3.03/3.41 (37349) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.03/3.41 duplicatefreeP( X ) }.
% 3.03/3.41 (37350) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37351) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.03/3.41 (37352) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37353) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha26( X, Y, Z, T ) }.
% 3.03/3.41 (37354) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37355) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.03/3.41 alpha17( X, Y, Z ) }.
% 3.03/3.41 (37356) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha33( X, Y, Z, T, U ) }.
% 3.03/3.41 (37357) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37358) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.03/3.41 ), alpha26( X, Y, Z, T ) }.
% 3.03/3.41 (37359) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.41 alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37360) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.03/3.41 alpha33( X, Y, Z, T, U ) }.
% 3.03/3.41 (37361) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.03/3.41 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.03/3.41 (37362) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.41 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.03/3.41 (37363) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.41 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37364) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.41 (37365) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.03/3.41 ( Y ), alpha9( X, Y ) }.
% 3.03/3.41 (37366) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.03/3.41 equalelemsP( X ) }.
% 3.03/3.41 (37367) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.03/3.41 equalelemsP( X ) }.
% 3.03/3.41 (37368) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.03/3.41 , Y, Z ) }.
% 3.03/3.41 (37369) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.03/3.41 (37370) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37371) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.03/3.41 alpha27( X, Y, Z, T ) }.
% 3.03/3.41 (37372) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.03/3.41 Z ) }.
% 3.03/3.41 (37373) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.03/3.41 alpha18( X, Y, Z ) }.
% 3.03/3.41 (37374) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.41 alpha34( X, Y, Z, T, U ) }.
% 3.03/3.41 (37375) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.03/3.41 X, Y, Z, T ) }.
% 3.03/3.41 (37376) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.03/3.41 ), alpha27( X, Y, Z, T ) }.
% 3.03/3.41 (37377) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.03/3.41 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.03/3.41 (37378) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.03/3.41 alpha34( X, Y, Z, T, U ) }.
% 3.03/3.41 (37379) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.03/3.41 (37380) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.03/3.41 , ! X = Y }.
% 3.03/3.41 (37381) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.03/3.41 , Y ) }.
% 3.03/3.41 (37382) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.03/3.41 Y, X ) ) }.
% 3.03/3.41 (37383) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.03/3.41 (37384) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.03/3.41 = X }.
% 3.03/3.41 (37385) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.41 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.03/3.41 (37386) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.41 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.03/3.41 (37387) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.03/3.41 ) }.
% 3.03/3.41 (37388) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.03/3.41 ) }.
% 3.03/3.41 (37389) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.03/3.41 skol43( X ) ) = X }.
% 3.03/3.41 (37390) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.03/3.41 Y, X ) }.
% 3.03/3.41 (37391) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.03/3.41 }.
% 3.03/3.41 (37392) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.03/3.41 X ) ) = Y }.
% 3.03/3.41 (37393) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.03/3.41 }.
% 3.03/3.41 (37394) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.03/3.41 X ) ) = X }.
% 3.03/3.41 (37395) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.03/3.41 , Y ) ) }.
% 3.03/3.41 (37396) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.41 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.03/3.41 (37397) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.03/3.41 (37398) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.03/3.41 , ! leq( Y, X ), X = Y }.
% 3.03/3.41 (37399) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.41 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.03/3.41 (37400) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.03/3.41 (37401) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.03/3.41 , leq( Y, X ) }.
% 3.03/3.41 (37402) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.03/3.41 , geq( X, Y ) }.
% 3.03/3.41 (37403) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.41 , ! lt( Y, X ) }.
% 3.03/3.41 (37404) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.41 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.03/3.41 (37405) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.03/3.41 , lt( Y, X ) }.
% 3.03/3.41 (37406) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.03/3.41 , gt( X, Y ) }.
% 3.03/3.41 (37407) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.03/3.41 (37408) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.03/3.41 (37409) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.03/3.41 (37410) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.03/3.41 (37411) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.03/3.41 (37412) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.03/3.41 (37413) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.03/3.41 (37414) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.03/3.41 (37415) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.03/3.41 (37416) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.41 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.03/3.41 (37417) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.03/3.41 (37418) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.03/3.41 (37419) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.03/3.41 (37420) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.03/3.41 , T ) }.
% 3.03/3.41 (37421) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.41 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.03/3.41 cons( Y, T ) ) }.
% 3.03/3.41 (37422) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.03/3.41 (37423) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.03/3.41 X }.
% 3.03/3.41 (37424) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.03/3.41 ) }.
% 3.03/3.41 (37425) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.03/3.41 (37426) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.41 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.03/3.41 (37427) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.03/3.41 (37428) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.03/3.41 (37429) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.03/3.41 (37430) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.03/3.41 }.
% 3.03/3.41 (37431) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.03/3.41 }.
% 3.03/3.41 (37432) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.03/3.41 (37433) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.41 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.03/3.41 (37434) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.03/3.41 (37435) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.41 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.03/3.41 }.
% 3.03/3.41 (37436) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.03/3.41 (37437) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.03/3.41 }.
% 3.03/3.41 (37438) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.03/3.41 }.
% 3.03/3.41 (37439) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.03/3.41 }.
% 3.03/3.41 (37440) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.03/3.41 (37441) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.03/3.41 }.
% 3.03/3.41 (37442) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.03/3.41 (37443) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.03/3.41 ) }.
% 3.03/3.41 (37444) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.03/3.41 (37445) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.03/3.41 ) }.
% 3.03/3.41 (37446) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.03/3.41 (37447) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.03/3.41 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.03/3.41 (37448) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.03/3.41 totalorderedP( cons( X, Y ) ) }.
% 3.03/3.41 (37449) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.03/3.41 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.03/3.41 (37450) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.03/3.41 (37451) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.03/3.41 (37452) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.03/3.41 }.
% 3.03/3.41 (37453) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.03/3.41 (37454) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.03/3.41 (37455) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.03/3.41 alpha19( X, Y ) }.
% 3.03/3.41 (37456) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.03/3.41 ) ) }.
% 3.03/3.41 (37457) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.03/3.41 (37458) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.03/3.41 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.03/3.41 (37459) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.03/3.41 strictorderedP( cons( X, Y ) ) }.
% 3.03/3.41 (37460) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.03/3.42 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.03/3.42 (37461) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.03/3.42 (37462) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.03/3.42 (37463) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.03/3.42 }.
% 3.03/3.42 (37464) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.03/3.42 (37465) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.03/3.42 (37466) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.03/3.42 alpha20( X, Y ) }.
% 3.03/3.42 (37467) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.03/3.42 ) ) }.
% 3.03/3.42 (37468) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.03/3.42 (37469) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.03/3.42 }.
% 3.03/3.42 (37470) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.03/3.42 (37471) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.03/3.42 ) }.
% 3.03/3.42 (37472) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.03/3.42 ) }.
% 3.03/3.42 (37473) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.03/3.42 ) }.
% 3.03/3.42 (37474) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.03/3.42 ) }.
% 3.03/3.42 (37475) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.03/3.42 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.03/3.42 (37476) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.03/3.42 X ) ) = X }.
% 3.03/3.42 (37477) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.42 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.03/3.42 (37478) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.42 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.03/3.42 (37479) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.03/3.42 = app( cons( Y, nil ), X ) }.
% 3.03/3.42 (37480) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.42 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.03/3.42 (37481) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.03/3.42 X, Y ), nil = Y }.
% 3.03/3.42 (37482) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.03/3.42 X, Y ), nil = X }.
% 3.03/3.42 (37483) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.03/3.42 nil = X, nil = app( X, Y ) }.
% 3.03/3.42 (37484) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.03/3.42 (37485) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.03/3.42 app( X, Y ) ) = hd( X ) }.
% 3.03/3.42 (37486) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.03/3.42 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.03/3.42 (37487) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.03/3.42 , ! geq( Y, X ), X = Y }.
% 3.03/3.42 (37488) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.42 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.03/3.42 (37489) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.03/3.42 (37490) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.03/3.42 (37491) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.42 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.03/3.42 (37492) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.03/3.42 , X = Y, lt( X, Y ) }.
% 3.03/3.42 (37493) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.42 , ! X = Y }.
% 3.03/3.42 (37494) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.42 , leq( X, Y ) }.
% 3.03/3.42 (37495) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.03/3.42 ( X, Y ), lt( X, Y ) }.
% 3.03/3.42 (37496) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.03/3.42 , ! gt( Y, X ) }.
% 3.03/3.42 (37497) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.42 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.03/3.42 (37498) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.03/3.42 (37499) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.03/3.42 (37500) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.03/3.42 (37501) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.03/3.42 (37502) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.03/3.42 (37503) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.03/3.42 (37504) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( skol50 ) }.
% 3.03/3.42 (37505) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP( skol51, X ), !
% 3.03/3.42 memberP( skol50, X ) }.
% 3.03/3.42 (37506) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP( skol50, X ), !
% 3.03/3.42 memberP( skol51, X ) }.
% 3.03/3.42 (37507) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49, skol52 ), !
% 3.03/3.42 duplicatefreeP( skol46 ) }.
% 3.03/3.42 (37508) {G0,W8,D2,L3,V0,M3} { ! memberP( skol49, skol52 ), ! memberP(
% 3.03/3.42 skol46, skol52 ), ! duplicatefreeP( skol46 ) }.
% 3.03/3.42 (37509) {G0,W6,D2,L2,V3,M2} { ! alpha44( X, Y, Z ), ssItem( Z ) }.
% 3.03/3.42 (37510) {G0,W10,D2,L3,V3,M3} { ! alpha44( X, Y, Z ), memberP( Y, Z ),
% 3.03/3.42 memberP( X, Z ) }.
% 3.03/3.42 (37511) {G0,W9,D2,L3,V3,M3} { ! ssItem( Z ), ! memberP( Y, Z ), alpha44( X
% 3.03/3.42 , Y, Z ) }.
% 3.03/3.42 (37512) {G0,W9,D2,L3,V3,M3} { ! ssItem( Z ), ! memberP( X, Z ), alpha44( X
% 3.03/3.42 , Y, Z ) }.
% 3.03/3.42
% 3.03/3.42
% 3.03/3.42 Total Proof:
% 3.03/3.42
% 3.03/3.42 subsumption: (0) {G0,W10,D2,L4,V2,M4} I { ! ssItem( X ), ! ssItem( Y ), !
% 3.03/3.42 neq( X, Y ), ! X = Y }.
% 3.03/3.42 parent0: (37222) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), !
% 3.03/3.42 neq( X, Y ), ! X = Y }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 2 ==> 2
% 3.03/3.42 3 ==> 3
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (1) {G0,W10,D2,L4,V2,M4} I { ! ssItem( X ), ! ssItem( Y ), X =
% 3.03/3.42 Y, neq( X, Y ) }.
% 3.03/3.42 parent0: (37223) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X =
% 3.03/3.42 Y, neq( X, Y ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 2 ==> 2
% 3.03/3.42 3 ==> 3
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (37865) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.03/3.42 parent0[0]: (37502) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.03/3.42 parent0: (37865) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (38213) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.03/3.42 parent0[0]: (37503) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.03/3.42 parent0: (38213) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (38855) {G1,W2,D2,L1,V0,M1} { duplicatefreeP( skol46 ) }.
% 3.03/3.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.03/3.42 parent1[0; 1]: (37504) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( skol50 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (281) {G1,W2,D2,L1,V0,M1} I;d(280) { duplicatefreeP( skol46 )
% 3.03/3.43 }.
% 3.03/3.43 parent0: (38855) {G1,W2,D2,L1,V0,M1} { duplicatefreeP( skol46 ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 0
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 paramod: (39782) {G1,W8,D2,L3,V1,M3} { memberP( skol49, X ), ! ssItem( X )
% 3.03/3.43 , ! memberP( skol50, X ) }.
% 3.03/3.43 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.03/3.43 parent1[1; 1]: (37505) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP(
% 3.03/3.43 skol51, X ), ! memberP( skol50, X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 paramod: (39783) {G1,W8,D2,L3,V1,M3} { ! memberP( skol46, X ), memberP(
% 3.03/3.43 skol49, X ), ! ssItem( X ) }.
% 3.03/3.43 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.03/3.43 parent1[2; 2]: (39782) {G1,W8,D2,L3,V1,M3} { memberP( skol49, X ), !
% 3.03/3.43 ssItem( X ), ! memberP( skol50, X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (282) {G1,W8,D2,L3,V1,M3} I;d(279);d(280) { ! ssItem( X ),
% 3.03/3.43 memberP( skol49, X ), ! memberP( skol46, X ) }.
% 3.03/3.43 parent0: (39783) {G1,W8,D2,L3,V1,M3} { ! memberP( skol46, X ), memberP(
% 3.03/3.43 skol49, X ), ! ssItem( X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 2
% 3.03/3.43 1 ==> 1
% 3.03/3.43 2 ==> 0
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 paramod: (40715) {G1,W8,D2,L3,V1,M3} { memberP( skol46, X ), ! ssItem( X )
% 3.03/3.43 , ! memberP( skol51, X ) }.
% 3.03/3.43 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.03/3.43 parent1[1; 1]: (37506) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP(
% 3.03/3.43 skol50, X ), ! memberP( skol51, X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 paramod: (40716) {G1,W8,D2,L3,V1,M3} { ! memberP( skol49, X ), memberP(
% 3.03/3.43 skol46, X ), ! ssItem( X ) }.
% 3.03/3.43 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.03/3.43 parent1[2; 2]: (40715) {G1,W8,D2,L3,V1,M3} { memberP( skol46, X ), !
% 3.03/3.43 ssItem( X ), ! memberP( skol51, X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (283) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ),
% 3.03/3.43 memberP( skol46, X ), ! memberP( skol49, X ) }.
% 3.03/3.43 parent0: (40716) {G1,W8,D2,L3,V1,M3} { ! memberP( skol49, X ), memberP(
% 3.03/3.43 skol46, X ), ! ssItem( X ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 X := X
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 2
% 3.03/3.43 1 ==> 1
% 3.03/3.43 2 ==> 0
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 resolution: (41072) {G1,W4,D2,L1,V0,M1} { alpha44( skol46, skol49, skol52
% 3.03/3.43 ) }.
% 3.03/3.43 parent0[1]: (37507) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49, skol52
% 3.03/3.43 ), ! duplicatefreeP( skol46 ) }.
% 3.03/3.43 parent1[0]: (281) {G1,W2,D2,L1,V0,M1} I;d(280) { duplicatefreeP( skol46 )
% 3.03/3.43 }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (284) {G2,W4,D2,L1,V0,M1} I;r(281) { alpha44( skol46, skol49,
% 3.03/3.43 skol52 ) }.
% 3.03/3.43 parent0: (41072) {G1,W4,D2,L1,V0,M1} { alpha44( skol46, skol49, skol52 )
% 3.03/3.43 }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 0
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 resolution: (41429) {G1,W6,D2,L2,V0,M2} { ! memberP( skol49, skol52 ), !
% 3.03/3.43 memberP( skol46, skol52 ) }.
% 3.03/3.43 parent0[2]: (37508) {G0,W8,D2,L3,V0,M3} { ! memberP( skol49, skol52 ), !
% 3.03/3.43 memberP( skol46, skol52 ), ! duplicatefreeP( skol46 ) }.
% 3.03/3.43 parent1[0]: (281) {G1,W2,D2,L1,V0,M1} I;d(280) { duplicatefreeP( skol46 )
% 3.03/3.43 }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 substitution1:
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (285) {G2,W6,D2,L2,V0,M2} I;r(281) { ! memberP( skol49, skol52
% 3.03/3.43 ), ! memberP( skol46, skol52 ) }.
% 3.03/3.43 parent0: (41429) {G1,W6,D2,L2,V0,M2} { ! memberP( skol49, skol52 ), !
% 3.03/3.43 memberP( skol46, skol52 ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 0
% 3.03/3.43 1 ==> 1
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (286) {G0,W6,D2,L2,V3,M2} I { ! alpha44( X, Y, Z ), ssItem( Z
% 3.03/3.43 ) }.
% 3.03/3.43 parent0: (37509) {G0,W6,D2,L2,V3,M2} { ! alpha44( X, Y, Z ), ssItem( Z )
% 3.03/3.43 }.
% 3.03/3.43 substitution0:
% 3.03/3.43 X := X
% 3.03/3.43 Y := Y
% 3.03/3.43 Z := Z
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 0
% 3.03/3.43 1 ==> 1
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 subsumption: (287) {G0,W10,D2,L3,V3,M3} I { ! alpha44( X, Y, Z ), memberP(
% 3.03/3.43 Y, Z ), memberP( X, Z ) }.
% 3.03/3.43 parent0: (37510) {G0,W10,D2,L3,V3,M3} { ! alpha44( X, Y, Z ), memberP( Y,
% 3.03/3.43 Z ), memberP( X, Z ) }.
% 3.03/3.43 substitution0:
% 3.03/3.43 X := X
% 3.03/3.43 Y := Y
% 3.03/3.43 Z := Z
% 3.03/3.43 end
% 3.03/3.43 permutation0:
% 3.03/3.43 0 ==> 0
% 3.03/3.43 1 ==> 1
% 3.03/3.43 2 ==> 2
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 eqswap: (42127) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssItem( X ), ! ssItem( Y
% 3.03/3.43 ), ! neq( X, Y ) }.
% 3.03/3.43 parent0[3]: (0) {G0,W10,D2,L4,V2,M4} I { ! ssItem( X ), ! ssItem( Y ), !
% 3.03/3.43 neq( X, Y ), ! X = Y }.
% 3.03/3.43 substitution0:
% 3.03/3.43 X := X
% 3.03/3.43 Y := Y
% 3.03/3.43 end
% 3.03/3.43
% 3.03/3.43 factor: (42128Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------