TSTP Solution File: SWC095+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC095+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 19:33:45 EDT 2022
% Result : Theorem 4.61s 5.01s
% Output : Refutation 4.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC095+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 11 21:03:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.16 *** allocated 10000 integers for termspace/termends
% 0.76/1.16 *** allocated 10000 integers for clauses
% 0.76/1.16 *** allocated 10000 integers for justifications
% 0.76/1.16 Bliksem 1.12
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Automatic Strategy Selection
% 0.76/1.16
% 0.76/1.16 *** allocated 15000 integers for termspace/termends
% 0.76/1.16
% 0.76/1.16 Clauses:
% 0.76/1.16
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.76/1.16 { ssItem( skol1 ) }.
% 0.76/1.16 { ssItem( skol47 ) }.
% 0.76/1.16 { ! skol1 = skol47 }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.76/1.16 }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.76/1.16 Y ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.76/1.16 ( X, Y ) }.
% 0.76/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.76/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.76/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.76/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.76/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.76/1.16 ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.76/1.16 ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.76/1.16 ( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.76/1.16 }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.76/1.16 = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.76/1.16 ( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.76/1.16 }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.76/1.16 , Y ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.76/1.16 segmentP( X, Y ) }.
% 0.76/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.76/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.76/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.76/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.76/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.76/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.76/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.76/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.76/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.76/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.76/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.76/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.76/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.76/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.76/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.76/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.76/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.76/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.76/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.76/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.76/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.76/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.76/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.76/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.76/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.76/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.76/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.76/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.76/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.76/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, leq( Y, Z ) }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.76/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.76/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.76/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.76/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.76/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, lt( Y, Z ) }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.76/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.76/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.76/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.76/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.76/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.76/1.16 .
% 0.76/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.76/1.16 , U ) }.
% 0.76/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.76/1.16 ) ) = X, ! Y = Z }.
% 0.76/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.76/1.16 W ) }.
% 0.76/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.76/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.76/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.76/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.76/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.76/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.76/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.76/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.76/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.76/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.76/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.76/1.16 Z }.
% 0.76/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.76/1.16 { ssList( nil ) }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.76/1.16 ) = cons( T, Y ), Z = T }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.76/1.16 ) = cons( T, Y ), Y = X }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.76/1.16 ( cons( Z, Y ), X ) }.
% 0.76/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.76/1.16 , leq( X, Z ) }.
% 0.76/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.76/1.16 lt( X, Z ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.76/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.76/1.16 app( Y, Z ), X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.76/1.16 app( Y, Z ), X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.76/1.16 , X = Y, memberP( Z, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.76/1.16 ), X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.76/1.16 cons( Y, Z ), X ) }.
% 0.76/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.76/1.16 { ! singletonP( nil ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.76/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.76/1.16 = Y }.
% 0.76/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.76/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.76/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.76/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.76/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.76/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.76/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.76/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.76/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.76/1.16 Y }.
% 0.76/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.76/1.16 ( app( Z, X ), Y ) }.
% 0.76/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.76/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.76/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.76/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.76/1.16 Y }.
% 0.76/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.76/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.76/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.76/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.76/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.76/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.76/1.16 { cyclefreeP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.76/1.16 { totalorderP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.76/1.16 { strictorderP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.76/1.16 { totalorderedP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.76/1.16 alpha10( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.76/1.16 .
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.76/1.16 Y ) ) }.
% 0.76/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.76/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.76/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.76/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.76/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.76/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.76/1.16 { strictorderedP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.76/1.16 alpha11( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.76/1.16 .
% 0.76/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.76/1.16 , Y ) ) }.
% 0.76/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.76/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.76/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.76/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.76/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.76/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.76/1.16 { duplicatefreeP( nil ) }.
% 0.76/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.76/1.16 { equalelemsP( nil ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.76/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.76/1.16 ( Y ) = tl( X ), Y = X }.
% 0.76/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.76/1.16 , Z = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.76/1.16 , Z = X }.
% 0.76/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.76/1.16 ( X, app( Y, Z ) ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.76/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.76/1.16 Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.76/1.16 , geq( X, Z ) }.
% 0.76/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.76/1.16 , lt( X, Z ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.76/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.76/1.16 gt( X, Z ) }.
% 0.76/1.16 { ssList( skol46 ) }.
% 0.76/1.16 { ssList( skol49 ) }.
% 0.76/1.16 { ssList( skol50 ) }.
% 0.76/1.16 { ssList( skol51 ) }.
% 0.76/1.16 { skol49 = skol51 }.
% 0.76/1.16 { skol46 = skol50 }.
% 0.76/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( app( X, Y ), Z ) =
% 0.76/1.16 skol46, ! app( X, Z ) = skol49 }.
% 0.76/1.16 { ssList( skol52 ) }.
% 0.76/1.16 { ssList( skol53 ) }.
% 0.76/1.16 { ssList( skol54 ) }.
% 0.76/1.16 { app( app( skol52, skol53 ), skol54 ) = skol50 }.
% 0.76/1.16 { app( skol52, skol54 ) = skol51 }.
% 0.76/1.16
% 0.76/1.16 *** allocated 15000 integers for clauses
% 0.76/1.16 percentage equality = 0.131361, percentage horn = 0.763066
% 0.76/1.16 This is a problem with some equality
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Options Used:
% 0.76/1.16
% 0.76/1.16 useres = 1
% 0.76/1.16 useparamod = 1
% 0.76/1.16 useeqrefl = 1
% 0.76/1.16 useeqfact = 1
% 0.76/1.16 usefactor = 1
% 0.76/1.16 usesimpsplitting = 0
% 0.76/1.16 usesimpdemod = 5
% 0.76/1.16 usesimpres = 3
% 0.76/1.16
% 0.76/1.16 resimpinuse = 1000
% 0.76/1.16 resimpclauses = 20000
% 0.76/1.16 substype = eqrewr
% 0.76/1.16 backwardsubs = 1
% 0.76/1.16 selectoldest = 5
% 0.76/1.16
% 0.76/1.16 litorderings [0] = split
% 0.76/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.16
% 0.76/1.16 termordering = kbo
% 0.76/1.16
% 0.76/1.16 litapriori = 0
% 0.76/1.16 termapriori = 1
% 0.76/1.16 litaposteriori = 0
% 0.76/1.16 termaposteriori = 0
% 0.76/1.16 demodaposteriori = 0
% 0.76/1.16 ordereqreflfact = 0
% 0.76/1.16
% 0.76/1.16 litselect = negord
% 0.76/1.16
% 0.76/1.16 maxweight = 15
% 0.76/1.16 maxdepth = 30000
% 0.76/1.16 maxlength = 115
% 0.76/1.16 maxnrvars = 195
% 0.76/1.16 excuselevel = 1
% 0.76/1.16 increasemaxweight = 1
% 0.76/1.16
% 0.76/1.16 maxselected = 10000000
% 0.76/1.16 maxnrclauses = 10000000
% 0.76/1.16
% 0.76/1.16 showgenerated = 0
% 0.76/1.16 showkept = 0
% 0.76/1.16 showselected = 0
% 0.76/1.16 showdeleted = 0
% 0.76/1.16 showresimp = 1
% 0.76/1.16 showstatus = 2000
% 0.76/1.16
% 0.76/1.16 prologoutput = 0
% 0.76/1.16 nrgoals = 5000000
% 0.76/1.16 totalproof = 1
% 0.76/1.16
% 0.76/1.16 Symbols occurring in the translation:
% 0.76/1.16
% 0.76/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.16 . [1, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.16 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.76/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.16 ssItem [36, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.76/1.16 neq [38, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.76/1.16 ssList [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.76/1.16 memberP [40, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.76/1.16 cons [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.76/1.16 app [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.76/1.16 singletonP [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.76/1.16 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.76/1.16 frontsegP [47, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.39/1.76 rearsegP [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.39/1.76 segmentP [49, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.39/1.76 cyclefreeP [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.39/1.76 leq [53, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.39/1.76 totalorderP [54, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.39/1.76 strictorderP [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.39/1.76 lt [56, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.39/1.76 totalorderedP [57, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.39/1.76 strictorderedP [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.39/1.76 duplicatefreeP [59, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.39/1.76 equalelemsP [60, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.39/1.76 hd [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.39/1.76 tl [62, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.39/1.76 geq [63, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.39/1.76 gt [64, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.39/1.76 alpha1 [69, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.39/1.76 alpha2 [70, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.39/1.76 alpha3 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.39/1.76 alpha4 [72, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.39/1.76 alpha5 [73, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.39/1.76 alpha6 [74, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.39/1.76 alpha7 [75, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.39/1.76 alpha8 [76, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.39/1.76 alpha9 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.39/1.76 alpha10 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.39/1.76 alpha11 [79, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.39/1.76 alpha12 [80, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.39/1.76 alpha13 [81, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.39/1.76 alpha14 [82, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.39/1.76 alpha15 [83, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.39/1.76 alpha16 [84, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.39/1.76 alpha17 [85, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.39/1.76 alpha18 [86, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.39/1.76 alpha19 [87, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.39/1.76 alpha20 [88, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.39/1.76 alpha21 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.39/1.76 alpha22 [90, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.39/1.76 alpha23 [91, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.39/1.76 alpha24 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.39/1.76 alpha25 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.39/1.76 alpha26 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.39/1.76 alpha27 [95, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.39/1.76 alpha28 [96, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.39/1.76 alpha29 [97, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.39/1.76 alpha30 [98, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.39/1.76 alpha31 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.39/1.76 alpha32 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.39/1.76 alpha33 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.39/1.76 alpha34 [102, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.39/1.76 alpha35 [103, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.39/1.76 alpha36 [104, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.39/1.76 alpha37 [105, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.39/1.76 alpha38 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.39/1.76 alpha39 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.39/1.76 alpha40 [108, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.39/1.76 alpha41 [109, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.39/1.76 alpha42 [110, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.39/1.76 alpha43 [111, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.39/1.76 skol1 [112, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.39/1.76 skol2 [113, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.39/1.76 skol3 [114, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.39/1.76 skol4 [115, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.39/1.76 skol5 [116, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.39/1.76 skol6 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.39/1.76 skol7 [118, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.39/1.76 skol8 [119, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.39/1.76 skol9 [120, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.39/1.76 skol10 [121, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.39/1.76 skol11 [122, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.39/1.76 skol12 [123, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.39/1.76 skol13 [124, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.39/1.76 skol14 [125, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.39/1.76 skol15 [126, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.39/1.76 skol16 [127, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.39/1.76 skol17 [128, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.39/1.76 skol18 [129, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.39/1.76 skol19 [130, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.39/1.76 skol20 [131, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.39/1.76 skol21 [132, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.39/1.76 skol22 [133, 4] (w:1, o:142, a:1, s:1, b:1),
% 4.61/5.01 skol23 [134, 5] (w:1, o:156, a:1, s:1, b:1),
% 4.61/5.01 skol24 [135, 1] (w:1, o:43, a:1, s:1, b:1),
% 4.61/5.01 skol25 [136, 2] (w:1, o:112, a:1, s:1, b:1),
% 4.61/5.01 skol26 [137, 3] (w:1, o:125, a:1, s:1, b:1),
% 4.61/5.01 skol27 [138, 4] (w:1, o:143, a:1, s:1, b:1),
% 4.61/5.01 skol28 [139, 5] (w:1, o:157, a:1, s:1, b:1),
% 4.61/5.01 skol29 [140, 1] (w:1, o:44, a:1, s:1, b:1),
% 4.61/5.01 skol30 [141, 2] (w:1, o:113, a:1, s:1, b:1),
% 4.61/5.01 skol31 [142, 3] (w:1, o:130, a:1, s:1, b:1),
% 4.61/5.01 skol32 [143, 4] (w:1, o:144, a:1, s:1, b:1),
% 4.61/5.01 skol33 [144, 5] (w:1, o:158, a:1, s:1, b:1),
% 4.61/5.01 skol34 [145, 1] (w:1, o:37, a:1, s:1, b:1),
% 4.61/5.01 skol35 [146, 2] (w:1, o:114, a:1, s:1, b:1),
% 4.61/5.01 skol36 [147, 3] (w:1, o:131, a:1, s:1, b:1),
% 4.61/5.01 skol37 [148, 4] (w:1, o:145, a:1, s:1, b:1),
% 4.61/5.01 skol38 [149, 5] (w:1, o:159, a:1, s:1, b:1),
% 4.61/5.01 skol39 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 4.61/5.01 skol40 [151, 2] (w:1, o:107, a:1, s:1, b:1),
% 4.61/5.01 skol41 [152, 3] (w:1, o:132, a:1, s:1, b:1),
% 4.61/5.01 skol42 [153, 4] (w:1, o:146, a:1, s:1, b:1),
% 4.61/5.01 skol43 [154, 1] (w:1, o:45, a:1, s:1, b:1),
% 4.61/5.01 skol44 [155, 1] (w:1, o:46, a:1, s:1, b:1),
% 4.61/5.01 skol45 [156, 1] (w:1, o:47, a:1, s:1, b:1),
% 4.61/5.01 skol46 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 4.61/5.01 skol47 [158, 0] (w:1, o:19, a:1, s:1, b:1),
% 4.61/5.01 skol48 [159, 1] (w:1, o:48, a:1, s:1, b:1),
% 4.61/5.01 skol49 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 4.61/5.01 skol50 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 4.61/5.01 skol51 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 4.61/5.01 skol52 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 4.61/5.01 skol53 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 4.61/5.01 skol54 [165, 0] (w:1, o:25, a:1, s:1, b:1).
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Starting Search:
% 4.61/5.01
% 4.61/5.01 *** allocated 22500 integers for clauses
% 4.61/5.01 *** allocated 33750 integers for clauses
% 4.61/5.01 *** allocated 50625 integers for clauses
% 4.61/5.01 *** allocated 22500 integers for termspace/termends
% 4.61/5.01 *** allocated 75937 integers for clauses
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 33750 integers for termspace/termends
% 4.61/5.01 *** allocated 113905 integers for clauses
% 4.61/5.01 *** allocated 50625 integers for termspace/termends
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 3582
% 4.61/5.01 Kept: 2001
% 4.61/5.01 Inuse: 207
% 4.61/5.01 Deleted: 7
% 4.61/5.01 Deletedinuse: 0
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 170857 integers for clauses
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 75937 integers for termspace/termends
% 4.61/5.01 *** allocated 256285 integers for clauses
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 7151
% 4.61/5.01 Kept: 4027
% 4.61/5.01 Inuse: 348
% 4.61/5.01 Deleted: 11
% 4.61/5.01 Deletedinuse: 4
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 113905 integers for termspace/termends
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 384427 integers for clauses
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 10592
% 4.61/5.01 Kept: 6066
% 4.61/5.01 Inuse: 487
% 4.61/5.01 Deleted: 11
% 4.61/5.01 Deletedinuse: 4
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 170857 integers for termspace/termends
% 4.61/5.01 *** allocated 576640 integers for clauses
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 14616
% 4.61/5.01 Kept: 8067
% 4.61/5.01 Inuse: 585
% 4.61/5.01 Deleted: 11
% 4.61/5.01 Deletedinuse: 4
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 256285 integers for termspace/termends
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 19675
% 4.61/5.01 Kept: 11309
% 4.61/5.01 Inuse: 674
% 4.61/5.01 Deleted: 11
% 4.61/5.01 Deletedinuse: 4
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 864960 integers for clauses
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 25131
% 4.61/5.01 Kept: 13482
% 4.61/5.01 Inuse: 744
% 4.61/5.01 Deleted: 11
% 4.61/5.01 Deletedinuse: 4
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 34909
% 4.61/5.01 Kept: 15658
% 4.61/5.01 Inuse: 779
% 4.61/5.01 Deleted: 14
% 4.61/5.01 Deletedinuse: 7
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 384427 integers for termspace/termends
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 40690
% 4.61/5.01 Kept: 17834
% 4.61/5.01 Inuse: 822
% 4.61/5.01 Deleted: 54
% 4.61/5.01 Deletedinuse: 45
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 1297440 integers for clauses
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 50969
% 4.61/5.01 Kept: 20235
% 4.61/5.01 Inuse: 870
% 4.61/5.01 Deleted: 82
% 4.61/5.01 Deletedinuse: 51
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying clauses:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 576640 integers for termspace/termends
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 61401
% 4.61/5.01 Kept: 22253
% 4.61/5.01 Inuse: 904
% 4.61/5.01 Deleted: 2646
% 4.61/5.01 Deletedinuse: 54
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 74464
% 4.61/5.01 Kept: 24673
% 4.61/5.01 Inuse: 940
% 4.61/5.01 Deleted: 2650
% 4.61/5.01 Deletedinuse: 58
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 88016
% 4.61/5.01 Kept: 26823
% 4.61/5.01 Inuse: 969
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 1946160 integers for clauses
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 97640
% 4.61/5.01 Kept: 29241
% 4.61/5.01 Inuse: 1014
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 104841
% 4.61/5.01 Kept: 31317
% 4.61/5.01 Inuse: 1039
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 *** allocated 864960 integers for termspace/termends
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 123678
% 4.61/5.01 Kept: 33372
% 4.61/5.01 Inuse: 1066
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 130431
% 4.61/5.01 Kept: 35602
% 4.61/5.01 Inuse: 1079
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 138789
% 4.61/5.01 Kept: 37643
% 4.61/5.01 Inuse: 1094
% 4.61/5.01 Deleted: 2658
% 4.61/5.01 Deletedinuse: 60
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 152254
% 4.61/5.01 Kept: 39645
% 4.61/5.01 Inuse: 1119
% 4.61/5.01 Deleted: 2664
% 4.61/5.01 Deletedinuse: 66
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying clauses:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 160424
% 4.61/5.01 Kept: 41664
% 4.61/5.01 Inuse: 1133
% 4.61/5.01 Deleted: 4085
% 4.61/5.01 Deletedinuse: 66
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Intermediate Status:
% 4.61/5.01 Generated: 168722
% 4.61/5.01 Kept: 43699
% 4.61/5.01 Inuse: 1163
% 4.61/5.01 Deleted: 4101
% 4.61/5.01 Deletedinuse: 82
% 4.61/5.01
% 4.61/5.01 Resimplifying inuse:
% 4.61/5.01 Done
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Bliksems!, er is een bewijs:
% 4.61/5.01 % SZS status Theorem
% 4.61/5.01 % SZS output start Refutation
% 4.61/5.01
% 4.61/5.01 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.61/5.01 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.61/5.01 (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! app( app( X, Y ), Z ) ==> skol46, ! app( X, Z ) ==> skol49 }.
% 4.61/5.01 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.61/5.01 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.61/5.01 (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.61/5.01 (285) {G1,W7,D4,L1,V0,M1} I;d(280) { app( app( skol52, skol53 ), skol54 )
% 4.61/5.01 ==> skol46 }.
% 4.61/5.01 (286) {G1,W5,D3,L1,V0,M1} I;d(279) { app( skol52, skol54 ) ==> skol49 }.
% 4.61/5.01 (43190) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { ! ssList( skol53 )
% 4.61/5.01 , ! ssList( skol54 ) }.
% 4.61/5.01 (44173) {G3,W0,D0,L0,V0,M0} S(43190);r(283);r(284) { }.
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 % SZS output end Refutation
% 4.61/5.01 found a proof!
% 4.61/5.01
% 4.61/5.01
% 4.61/5.01 Unprocessed initial clauses:
% 4.61/5.01
% 4.61/5.01 (44175) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 4.61/5.01 , ! X = Y }.
% 4.61/5.01 (44176) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44177) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 4.61/5.01 (44178) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 4.61/5.01 (44179) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 4.61/5.01 (44180) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.61/5.01 , Y ), ssList( skol2( Z, T ) ) }.
% 4.61/5.01 (44181) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.61/5.01 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 4.61/5.01 (44182) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 4.61/5.01 (44183) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 4.61/5.01 ) ) }.
% 4.61/5.01 (44184) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 4.61/5.01 ( X, Y, Z ) ) ) = X }.
% 4.61/5.01 (44185) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 4.61/5.01 , alpha1( X, Y, Z ) }.
% 4.61/5.01 (44186) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 4.61/5.01 skol4( Y ) ) }.
% 4.61/5.01 (44187) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 4.61/5.01 skol4( X ), nil ) = X }.
% 4.61/5.01 (44188) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 4.61/5.01 nil ) = X, singletonP( X ) }.
% 4.61/5.01 (44189) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.61/5.01 X, Y ), ssList( skol5( Z, T ) ) }.
% 4.61/5.01 (44190) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.61/5.01 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 4.61/5.01 (44191) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 4.61/5.01 (44192) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.61/5.01 , Y ), ssList( skol6( Z, T ) ) }.
% 4.61/5.01 (44193) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.61/5.01 , Y ), app( skol6( X, Y ), Y ) = X }.
% 4.61/5.01 (44194) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 4.61/5.01 (44195) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.61/5.01 , Y ), ssList( skol7( Z, T ) ) }.
% 4.61/5.01 (44196) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.61/5.01 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 4.61/5.01 (44197) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.61/5.01 (44198) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 4.61/5.01 ) ) }.
% 4.61/5.01 (44199) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 4.61/5.01 skol8( X, Y, Z ) ) = X }.
% 4.61/5.01 (44200) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 4.61/5.01 , alpha2( X, Y, Z ) }.
% 4.61/5.01 (44201) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 4.61/5.01 Y ), alpha3( X, Y ) }.
% 4.61/5.01 (44202) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 4.61/5.01 cyclefreeP( X ) }.
% 4.61/5.01 (44203) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 4.61/5.01 cyclefreeP( X ) }.
% 4.61/5.01 (44204) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44205) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 4.61/5.01 (44206) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44207) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha28( X, Y, Z, T ) }.
% 4.61/5.01 (44208) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44209) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 4.61/5.01 alpha21( X, Y, Z ) }.
% 4.61/5.01 (44210) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha35( X, Y, Z, T, U ) }.
% 4.61/5.01 (44211) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44212) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 4.61/5.01 ), alpha28( X, Y, Z, T ) }.
% 4.61/5.01 (44213) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha41( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44214) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha35( X, Y, Z, T, U ) }.
% 4.61/5.01 (44215) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 4.61/5.01 (44216) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 4.61/5.01 (44217) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha41( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44218) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 4.61/5.01 W ) }.
% 4.61/5.01 (44219) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 4.61/5.01 X ) }.
% 4.61/5.01 (44220) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 4.61/5.01 (44221) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 4.61/5.01 (44222) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 4.61/5.01 ( Y ), alpha4( X, Y ) }.
% 4.61/5.01 (44223) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 4.61/5.01 totalorderP( X ) }.
% 4.61/5.01 (44224) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 4.61/5.01 totalorderP( X ) }.
% 4.61/5.01 (44225) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44226) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 4.61/5.01 (44227) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44228) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha29( X, Y, Z, T ) }.
% 4.61/5.01 (44229) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44230) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 4.61/5.01 alpha22( X, Y, Z ) }.
% 4.61/5.01 (44231) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha36( X, Y, Z, T, U ) }.
% 4.61/5.01 (44232) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44233) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 4.61/5.01 ), alpha29( X, Y, Z, T ) }.
% 4.61/5.01 (44234) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha42( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44235) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha36( X, Y, Z, T, U ) }.
% 4.61/5.01 (44236) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 4.61/5.01 (44237) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 4.61/5.01 (44238) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha42( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44239) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 4.61/5.01 W ) }.
% 4.61/5.01 (44240) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 4.61/5.01 }.
% 4.61/5.01 (44241) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 4.61/5.01 (44242) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 4.61/5.01 (44243) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 4.61/5.01 ( Y ), alpha5( X, Y ) }.
% 4.61/5.01 (44244) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 4.61/5.01 strictorderP( X ) }.
% 4.61/5.01 (44245) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 4.61/5.01 strictorderP( X ) }.
% 4.61/5.01 (44246) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44247) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 4.61/5.01 (44248) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44249) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha30( X, Y, Z, T ) }.
% 4.61/5.01 (44250) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44251) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 4.61/5.01 alpha23( X, Y, Z ) }.
% 4.61/5.01 (44252) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha37( X, Y, Z, T, U ) }.
% 4.61/5.01 (44253) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44254) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 4.61/5.01 ), alpha30( X, Y, Z, T ) }.
% 4.61/5.01 (44255) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha43( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44256) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha37( X, Y, Z, T, U ) }.
% 4.61/5.01 (44257) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 4.61/5.01 (44258) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 4.61/5.01 (44259) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha43( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44260) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 4.61/5.01 W ) }.
% 4.61/5.01 (44261) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 4.61/5.01 }.
% 4.61/5.01 (44262) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 4.61/5.01 (44263) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 4.61/5.01 (44264) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 4.61/5.01 ssItem( Y ), alpha6( X, Y ) }.
% 4.61/5.01 (44265) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 4.61/5.01 totalorderedP( X ) }.
% 4.61/5.01 (44266) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 4.61/5.01 totalorderedP( X ) }.
% 4.61/5.01 (44267) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44268) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 4.61/5.01 (44269) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44270) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha24( X, Y, Z, T ) }.
% 4.61/5.01 (44271) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44272) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 4.61/5.01 alpha15( X, Y, Z ) }.
% 4.61/5.01 (44273) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha31( X, Y, Z, T, U ) }.
% 4.61/5.01 (44274) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44275) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 4.61/5.01 ), alpha24( X, Y, Z, T ) }.
% 4.61/5.01 (44276) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha38( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44277) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha31( X, Y, Z, T, U ) }.
% 4.61/5.01 (44278) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 4.61/5.01 (44279) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 4.61/5.01 (44280) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha38( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44281) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 4.61/5.01 }.
% 4.61/5.01 (44282) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 4.61/5.01 ssItem( Y ), alpha7( X, Y ) }.
% 4.61/5.01 (44283) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 4.61/5.01 strictorderedP( X ) }.
% 4.61/5.01 (44284) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 4.61/5.01 strictorderedP( X ) }.
% 4.61/5.01 (44285) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44286) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 4.61/5.01 (44287) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44288) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha25( X, Y, Z, T ) }.
% 4.61/5.01 (44289) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44290) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 4.61/5.01 alpha16( X, Y, Z ) }.
% 4.61/5.01 (44291) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha32( X, Y, Z, T, U ) }.
% 4.61/5.01 (44292) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44293) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 4.61/5.01 ), alpha25( X, Y, Z, T ) }.
% 4.61/5.01 (44294) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha39( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44295) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha32( X, Y, Z, T, U ) }.
% 4.61/5.01 (44296) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 4.61/5.01 (44297) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 4.61/5.01 (44298) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha39( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44299) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 4.61/5.01 }.
% 4.61/5.01 (44300) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 4.61/5.01 ssItem( Y ), alpha8( X, Y ) }.
% 4.61/5.01 (44301) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 4.61/5.01 duplicatefreeP( X ) }.
% 4.61/5.01 (44302) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 4.61/5.01 duplicatefreeP( X ) }.
% 4.61/5.01 (44303) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44304) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 4.61/5.01 (44305) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44306) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha26( X, Y, Z, T ) }.
% 4.61/5.01 (44307) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44308) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 4.61/5.01 alpha17( X, Y, Z ) }.
% 4.61/5.01 (44309) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha33( X, Y, Z, T, U ) }.
% 4.61/5.01 (44310) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44311) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 4.61/5.01 ), alpha26( X, Y, Z, T ) }.
% 4.61/5.01 (44312) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 4.61/5.01 alpha40( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44313) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 4.61/5.01 alpha33( X, Y, Z, T, U ) }.
% 4.61/5.01 (44314) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 4.61/5.01 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 4.61/5.01 (44315) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 4.61/5.01 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 4.61/5.01 (44316) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.61/5.01 = X, alpha40( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44317) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 4.61/5.01 (44318) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 4.61/5.01 ( Y ), alpha9( X, Y ) }.
% 4.61/5.01 (44319) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 4.61/5.01 equalelemsP( X ) }.
% 4.61/5.01 (44320) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 4.61/5.01 equalelemsP( X ) }.
% 4.61/5.01 (44321) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 4.61/5.01 , Y, Z ) }.
% 4.61/5.01 (44322) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 4.61/5.01 (44323) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44324) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 4.61/5.01 alpha27( X, Y, Z, T ) }.
% 4.61/5.01 (44325) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 4.61/5.01 Z ) }.
% 4.61/5.01 (44326) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 4.61/5.01 alpha18( X, Y, Z ) }.
% 4.61/5.01 (44327) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 4.61/5.01 alpha34( X, Y, Z, T, U ) }.
% 4.61/5.01 (44328) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 4.61/5.01 X, Y, Z, T ) }.
% 4.61/5.01 (44329) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 4.61/5.01 ), alpha27( X, Y, Z, T ) }.
% 4.61/5.01 (44330) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 4.61/5.01 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 4.61/5.01 (44331) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 4.61/5.01 alpha34( X, Y, Z, T, U ) }.
% 4.61/5.01 (44332) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 4.61/5.01 (44333) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 4.61/5.01 , ! X = Y }.
% 4.61/5.01 (44334) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 4.61/5.01 , Y ) }.
% 4.61/5.01 (44335) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 4.61/5.01 Y, X ) ) }.
% 4.61/5.01 (44336) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 4.61/5.01 (44337) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 4.61/5.01 = X }.
% 4.61/5.01 (44338) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.61/5.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 4.61/5.01 (44339) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.61/5.01 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 4.61/5.01 (44340) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 4.61/5.01 ) }.
% 4.61/5.01 (44341) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 4.61/5.01 ) }.
% 4.61/5.01 (44342) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 4.61/5.01 skol43( X ) ) = X }.
% 4.61/5.01 (44343) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 4.61/5.01 Y, X ) }.
% 4.61/5.01 (44344) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 4.61/5.01 }.
% 4.61/5.01 (44345) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 4.61/5.01 X ) ) = Y }.
% 4.61/5.01 (44346) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 4.61/5.01 }.
% 4.61/5.01 (44347) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 4.61/5.01 X ) ) = X }.
% 4.61/5.01 (44348) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 4.61/5.01 , Y ) ) }.
% 4.61/5.01 (44349) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.61/5.01 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 4.61/5.01 (44350) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 4.61/5.01 (44351) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.61/5.01 , ! leq( Y, X ), X = Y }.
% 4.61/5.01 (44352) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.61/5.01 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 4.61/5.01 (44353) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 4.61/5.01 (44354) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.61/5.01 , leq( Y, X ) }.
% 4.61/5.01 (44355) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 4.61/5.01 , geq( X, Y ) }.
% 4.61/5.01 (44356) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.61/5.01 , ! lt( Y, X ) }.
% 4.61/5.01 (44357) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.61/5.01 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.61/5.01 (44358) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.61/5.01 , lt( Y, X ) }.
% 4.61/5.01 (44359) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 4.61/5.01 , gt( X, Y ) }.
% 4.61/5.01 (44360) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 4.61/5.01 (44361) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 4.61/5.01 (44362) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 4.61/5.01 (44363) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 4.61/5.01 (44364) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 4.61/5.01 (44365) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 4.61/5.01 (44366) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 4.61/5.01 (44367) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 4.61/5.01 (44368) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 4.61/5.01 (44369) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.61/5.01 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 4.61/5.01 (44370) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 4.61/5.01 (44371) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 4.61/5.01 (44372) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 4.61/5.01 (44373) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 4.61/5.01 , T ) }.
% 4.61/5.01 (44374) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.61/5.01 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 4.61/5.01 cons( Y, T ) ) }.
% 4.61/5.01 (44375) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 4.61/5.01 (44376) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 4.61/5.01 X }.
% 4.61/5.01 (44377) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 4.61/5.01 ) }.
% 4.61/5.01 (44378) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 4.61/5.01 (44379) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.61/5.01 , Y ), ! rearsegP( Y, X ), X = Y }.
% 4.61/5.01 (44380) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 4.61/5.01 (44381) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 4.61/5.01 (44382) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 4.61/5.01 (44383) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 4.61/5.01 }.
% 4.61/5.01 (44384) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 4.61/5.01 }.
% 4.61/5.01 (44385) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 4.61/5.01 (44386) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.61/5.01 , Y ), ! segmentP( Y, X ), X = Y }.
% 4.61/5.01 (44387) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 4.61/5.01 (44388) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 4.61/5.01 }.
% 4.61/5.01 (44389) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 4.61/5.01 (44390) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 4.61/5.01 }.
% 4.61/5.01 (44391) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 4.61/5.01 }.
% 4.61/5.01 (44392) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 4.61/5.01 }.
% 4.61/5.01 (44393) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 4.61/5.01 (44394) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 4.61/5.01 }.
% 4.61/5.01 (44395) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 4.61/5.01 (44396) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 4.61/5.01 ) }.
% 4.61/5.01 (44397) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 4.61/5.01 (44398) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 4.61/5.01 ) }.
% 4.61/5.01 (44399) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 4.61/5.01 (44400) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.61/5.01 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 4.61/5.01 (44401) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.61/5.01 totalorderedP( cons( X, Y ) ) }.
% 4.61/5.01 (44402) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 4.61/5.01 , Y ), totalorderedP( cons( X, Y ) ) }.
% 4.61/5.01 (44403) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 4.61/5.01 (44404) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 4.61/5.01 (44405) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 4.61/5.01 }.
% 4.61/5.01 (44406) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 4.61/5.01 (44407) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 4.61/5.01 (44408) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 4.61/5.01 alpha19( X, Y ) }.
% 4.61/5.01 (44409) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 4.61/5.01 ) ) }.
% 4.61/5.01 (44410) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 4.61/5.01 (44411) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.61/5.01 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 4.61/5.01 (44412) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.61/5.01 strictorderedP( cons( X, Y ) ) }.
% 4.61/5.01 (44413) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 4.61/5.01 , Y ), strictorderedP( cons( X, Y ) ) }.
% 4.61/5.01 (44414) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 4.61/5.01 (44415) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 4.61/5.01 (44416) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 4.61/5.01 }.
% 4.61/5.01 (44417) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 4.61/5.01 (44418) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 4.61/5.01 (44419) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 4.61/5.01 alpha20( X, Y ) }.
% 4.61/5.01 (44420) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 4.61/5.01 ) ) }.
% 4.61/5.01 (44421) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 4.61/5.01 (44422) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 4.61/5.01 }.
% 4.61/5.01 (44423) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 4.61/5.01 (44424) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 4.61/5.01 ) }.
% 4.61/5.01 (44425) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 4.61/5.01 ) }.
% 4.61/5.01 (44426) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 4.61/5.01 ) }.
% 4.61/5.01 (44427) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 4.61/5.01 ) }.
% 4.61/5.01 (44428) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 4.61/5.01 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 4.61/5.01 (44429) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 4.61/5.01 X ) ) = X }.
% 4.61/5.01 (44430) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.61/5.01 (44431) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 4.61/5.01 (44432) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 4.61/5.01 = app( cons( Y, nil ), X ) }.
% 4.61/5.01 (44433) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.01 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 4.61/5.01 (44434) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.61/5.01 X, Y ), nil = Y }.
% 4.61/5.01 (44435) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.61/5.01 X, Y ), nil = X }.
% 4.61/5.01 (44436) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 4.61/5.01 nil = X, nil = app( X, Y ) }.
% 4.61/5.01 (44437) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 4.61/5.01 (44438) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 4.61/5.01 app( X, Y ) ) = hd( X ) }.
% 4.61/5.01 (44439) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 4.61/5.01 app( X, Y ) ) = app( tl( X ), Y ) }.
% 4.61/5.01 (44440) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.61/5.01 , ! geq( Y, X ), X = Y }.
% 4.61/5.01 (44441) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.61/5.01 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 4.61/5.03 (44442) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 4.61/5.03 (44443) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 4.61/5.03 (44444) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.61/5.03 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.61/5.03 (44445) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.61/5.03 , X = Y, lt( X, Y ) }.
% 4.61/5.03 (44446) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.61/5.03 , ! X = Y }.
% 4.61/5.03 (44447) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.61/5.03 , leq( X, Y ) }.
% 4.61/5.03 (44448) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 4.61/5.03 ( X, Y ), lt( X, Y ) }.
% 4.61/5.03 (44449) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.61/5.03 , ! gt( Y, X ) }.
% 4.61/5.03 (44450) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.61/5.03 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 4.61/5.03 (44451) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 4.61/5.03 (44452) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 4.61/5.03 (44453) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 4.61/5.03 (44454) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 4.61/5.03 (44455) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.61/5.03 (44456) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.61/5.03 (44457) {G0,W18,D4,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.61/5.03 , ! app( app( X, Y ), Z ) = skol46, ! app( X, Z ) = skol49 }.
% 4.61/5.03 (44458) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.61/5.03 (44459) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 4.61/5.03 (44460) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 4.61/5.03 (44461) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54 ) =
% 4.61/5.03 skol50 }.
% 4.61/5.03 (44462) {G0,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol51 }.
% 4.61/5.03
% 4.61/5.03
% 4.61/5.03 Total Proof:
% 4.61/5.03
% 4.61/5.03 eqswap: (44809) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.61/5.03 parent0[0]: (44455) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.61/5.03 parent0: (44809) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 *** allocated 2919240 integers for clauses
% 4.61/5.03 eqswap: (45157) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.61/5.03 parent0[0]: (44456) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.61/5.03 parent0: (45157) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.61/5.03 ssList( Z ), ! app( app( X, Y ), Z ) ==> skol46, ! app( X, Z ) ==>
% 4.61/5.03 skol49 }.
% 4.61/5.03 parent0: (44457) {G0,W18,D4,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 4.61/5.03 ssList( Z ), ! app( app( X, Y ), Z ) = skol46, ! app( X, Z ) = skol49 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 X := X
% 4.61/5.03 Y := Y
% 4.61/5.03 Z := Z
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 1 ==> 1
% 4.61/5.03 2 ==> 2
% 4.61/5.03 3 ==> 3
% 4.61/5.03 4 ==> 4
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.61/5.03 parent0: (44458) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.61/5.03 parent0: (44459) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.61/5.03 parent0: (44460) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 paramod: (47291) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54
% 4.61/5.03 ) = skol46 }.
% 4.61/5.03 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.61/5.03 parent1[0; 6]: (44461) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ),
% 4.61/5.03 skol54 ) = skol50 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (285) {G1,W7,D4,L1,V0,M1} I;d(280) { app( app( skol52, skol53
% 4.61/5.03 ), skol54 ) ==> skol46 }.
% 4.61/5.03 parent0: (47291) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54
% 4.61/5.03 ) = skol46 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 paramod: (47960) {G1,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol49 }.
% 4.61/5.03 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.61/5.03 parent1[0; 4]: (44462) {G0,W5,D3,L1,V0,M1} { app( skol52, skol54 ) =
% 4.61/5.03 skol51 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (286) {G1,W5,D3,L1,V0,M1} I;d(279) { app( skol52, skol54 ) ==>
% 4.61/5.03 skol49 }.
% 4.61/5.03 parent0: (47960) {G1,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol49 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 eqswap: (47962) {G1,W7,D4,L1,V0,M1} { skol46 ==> app( app( skol52, skol53
% 4.61/5.03 ), skol54 ) }.
% 4.61/5.03 parent0[0]: (285) {G1,W7,D4,L1,V0,M1} I;d(280) { app( app( skol52, skol53 )
% 4.61/5.03 , skol54 ) ==> skol46 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 eqswap: (47963) {G0,W18,D4,L5,V3,M5} { ! skol46 ==> app( app( X, Y ), Z )
% 4.61/5.03 , ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( X, Z ) ==> skol49
% 4.61/5.03 }.
% 4.61/5.03 parent0[3]: (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.61/5.03 ssList( Z ), ! app( app( X, Y ), Z ) ==> skol46, ! app( X, Z ) ==> skol49
% 4.61/5.03 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 X := X
% 4.61/5.03 Y := Y
% 4.61/5.03 Z := Z
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 resolution: (47967) {G1,W11,D3,L4,V0,M4} { ! ssList( skol52 ), ! ssList(
% 4.61/5.03 skol53 ), ! ssList( skol54 ), ! app( skol52, skol54 ) ==> skol49 }.
% 4.61/5.03 parent0[0]: (47963) {G0,W18,D4,L5,V3,M5} { ! skol46 ==> app( app( X, Y ),
% 4.61/5.03 Z ), ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( X, Z ) ==>
% 4.61/5.03 skol49 }.
% 4.61/5.03 parent1[0]: (47962) {G1,W7,D4,L1,V0,M1} { skol46 ==> app( app( skol52,
% 4.61/5.03 skol53 ), skol54 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 X := skol52
% 4.61/5.03 Y := skol53
% 4.61/5.03 Z := skol54
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 paramod: (47968) {G2,W9,D2,L4,V0,M4} { ! skol49 ==> skol49, ! ssList(
% 4.61/5.03 skol52 ), ! ssList( skol53 ), ! ssList( skol54 ) }.
% 4.61/5.03 parent0[0]: (286) {G1,W5,D3,L1,V0,M1} I;d(279) { app( skol52, skol54 ) ==>
% 4.61/5.03 skol49 }.
% 4.61/5.03 parent1[3; 2]: (47967) {G1,W11,D3,L4,V0,M4} { ! ssList( skol52 ), ! ssList
% 4.61/5.03 ( skol53 ), ! ssList( skol54 ), ! app( skol52, skol54 ) ==> skol49 }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 eqrefl: (47969) {G0,W6,D2,L3,V0,M3} { ! ssList( skol52 ), ! ssList( skol53
% 4.61/5.03 ), ! ssList( skol54 ) }.
% 4.61/5.03 parent0[0]: (47968) {G2,W9,D2,L4,V0,M4} { ! skol49 ==> skol49, ! ssList(
% 4.61/5.03 skol52 ), ! ssList( skol53 ), ! ssList( skol54 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 resolution: (47970) {G1,W4,D2,L2,V0,M2} { ! ssList( skol53 ), ! ssList(
% 4.61/5.03 skol54 ) }.
% 4.61/5.03 parent0[0]: (47969) {G0,W6,D2,L3,V0,M3} { ! ssList( skol52 ), ! ssList(
% 4.61/5.03 skol53 ), ! ssList( skol54 ) }.
% 4.61/5.03 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (43190) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { !
% 4.61/5.03 ssList( skol53 ), ! ssList( skol54 ) }.
% 4.61/5.03 parent0: (47970) {G1,W4,D2,L2,V0,M2} { ! ssList( skol53 ), ! ssList(
% 4.61/5.03 skol54 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 0 ==> 0
% 4.61/5.03 1 ==> 1
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 resolution: (47971) {G1,W2,D2,L1,V0,M1} { ! ssList( skol54 ) }.
% 4.61/5.03 parent0[0]: (43190) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { !
% 4.61/5.03 ssList( skol53 ), ! ssList( skol54 ) }.
% 4.61/5.03 parent1[0]: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 resolution: (47972) {G1,W0,D0,L0,V0,M0} { }.
% 4.61/5.03 parent0[0]: (47971) {G1,W2,D2,L1,V0,M1} { ! ssList( skol54 ) }.
% 4.61/5.03 parent1[0]: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 substitution1:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 subsumption: (44173) {G3,W0,D0,L0,V0,M0} S(43190);r(283);r(284) { }.
% 4.61/5.03 parent0: (47972) {G1,W0,D0,L0,V0,M0} { }.
% 4.61/5.03 substitution0:
% 4.61/5.03 end
% 4.61/5.03 permutation0:
% 4.61/5.03 end
% 4.61/5.03
% 4.61/5.03 Proof check complete!
% 4.61/5.03
% 4.61/5.03 Memory use:
% 4.61/5.03
% 4.61/5.03 space for terms: 776131
% 4.61/5.03 space for clauses: 1931104
% 4.61/5.03
% 4.61/5.03
% 4.61/5.03 clauses generated: 170152
% 4.61/5.03 clauses kept: 44174
% 4.61/5.03 clauses selected: 1174
% 4.61/5.03 clauses deleted: 4130
% 4.61/5.03 clauses inuse deleted: 110
% 4.61/5.03
% 4.61/5.03 subsentry: 328266
% 4.61/5.03 literals s-matched: 194827
% 4.61/5.03 literals matched: 164408
% 4.61/5.03 full subsumption: 89297
% 4.61/5.03
% 4.61/5.03 checksum: 446576616
% 4.61/5.03
% 4.61/5.03
% 4.61/5.03 Bliksem ended
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