TSTP Solution File: SWC349+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC349+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 19:36:07 EDT 2022
% Result : Theorem 0.67s 1.12s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC349+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10 % Command : bliksem %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % DateTime : Sun Jun 12 22:46:20 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.67/1.11 *** allocated 10000 integers for termspace/termends
% 0.67/1.11 *** allocated 10000 integers for clauses
% 0.67/1.11 *** allocated 10000 integers for justifications
% 0.67/1.11 Bliksem 1.12
% 0.67/1.11
% 0.67/1.11
% 0.67/1.11 Automatic Strategy Selection
% 0.67/1.11
% 0.67/1.11 *** allocated 15000 integers for termspace/termends
% 0.67/1.11
% 0.67/1.11 Clauses:
% 0.67/1.11
% 0.67/1.11 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.67/1.11 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.67/1.11 { ssItem( skol1 ) }.
% 0.67/1.11 { ssItem( skol47 ) }.
% 0.67/1.11 { ! skol1 = skol47 }.
% 0.67/1.11 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.67/1.11 }.
% 0.67/1.11 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.67/1.11 Y ) ) }.
% 0.67/1.11 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.67/1.11 ( X, Y ) }.
% 0.67/1.11 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.67/1.11 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.67/1.11 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.67/1.11 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.67/1.11 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.67/1.11 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.67/1.11 ) }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.67/1.11 ) = X }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.67/1.11 ( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.67/1.11 }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.67/1.11 = X }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.67/1.11 ( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.67/1.11 }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.67/1.11 , Y ) ) }.
% 0.67/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.67/1.11 segmentP( X, Y ) }.
% 0.67/1.11 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.67/1.11 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.67/1.11 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.67/1.11 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.67/1.11 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.67/1.11 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.67/1.11 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.67/1.11 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.67/1.11 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.67/1.11 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.67/1.11 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.67/1.11 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.67/1.11 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.67/1.11 .
% 0.67/1.11 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.67/1.11 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.67/1.11 , U ) }.
% 0.67/1.11 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.11 ) ) = X, alpha12( Y, Z ) }.
% 0.67/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.67/1.11 W ) }.
% 0.67/1.11 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.67/1.11 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.67/1.11 { leq( X, Y ), alpha12( X, Y ) }.
% 0.67/1.11 { leq( Y, X ), alpha12( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.67/1.11 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.67/1.11 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.67/1.11 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.67/1.11 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.67/1.11 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.67/1.11 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.67/1.11 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.67/1.11 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.67/1.11 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.67/1.11 .
% 0.67/1.11 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.67/1.11 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.67/1.11 , U ) }.
% 0.67/1.11 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.11 ) ) = X, alpha13( Y, Z ) }.
% 0.67/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.67/1.11 W ) }.
% 0.67/1.11 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.67/1.11 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.67/1.11 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.67/1.11 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.67/1.11 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.67/1.11 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.67/1.11 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.67/1.11 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.67/1.11 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.67/1.11 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.67/1.11 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.67/1.11 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.67/1.11 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.67/1.11 .
% 0.67/1.11 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.67/1.11 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.67/1.11 , U ) }.
% 0.67/1.11 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.11 ) ) = X, alpha14( Y, Z ) }.
% 0.67/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.67/1.11 W ) }.
% 0.67/1.11 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.67/1.11 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.67/1.11 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.67/1.11 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.67/1.11 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.67/1.11 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.67/1.11 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.67/1.11 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.67/1.11 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.67/1.11 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.67/1.11 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.67/1.11 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.67/1.11 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.67/1.11 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.67/1.11 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.67/1.11 .
% 0.67/1.11 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.67/1.11 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.67/1.11 , U ) }.
% 0.67/1.11 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.11 ) ) = X, leq( Y, Z ) }.
% 0.67/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.67/1.12 W ) }.
% 0.67/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.67/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.67/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.67/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.67/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.67/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.67/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.67/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.67/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.67/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.67/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.67/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.67/1.12 .
% 0.67/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.67/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.67/1.12 , U ) }.
% 0.67/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.12 ) ) = X, lt( Y, Z ) }.
% 0.67/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.67/1.12 W ) }.
% 0.67/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.67/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.67/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.67/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.67/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.67/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.67/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.67/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.67/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.67/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.67/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.67/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.67/1.12 .
% 0.67/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.67/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.67/1.12 , U ) }.
% 0.67/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.67/1.12 ) ) = X, ! Y = Z }.
% 0.67/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.67/1.12 W ) }.
% 0.67/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.67/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.67/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.67/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.67/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.67/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.67/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.67/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.67/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.67/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.67/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.67/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.67/1.12 Z }.
% 0.67/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.67/1.12 { ssList( nil ) }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.67/1.12 ) = cons( T, Y ), Z = T }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.67/1.12 ) = cons( T, Y ), Y = X }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.67/1.12 ( cons( Z, Y ), X ) }.
% 0.67/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.67/1.12 , leq( X, Z ) }.
% 0.67/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.67/1.12 lt( X, Z ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.67/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.67/1.12 app( Y, Z ), X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.67/1.12 app( Y, Z ), X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.67/1.12 , X = Y, memberP( Z, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.67/1.12 ), X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.67/1.12 cons( Y, Z ), X ) }.
% 0.67/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.67/1.12 { ! singletonP( nil ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.67/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.67/1.12 = Y }.
% 0.67/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.67/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.67/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.67/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.67/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.67/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.67/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.67/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.67/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.67/1.12 Y }.
% 0.67/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.67/1.12 ( app( Z, X ), Y ) }.
% 0.67/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.67/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.67/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.67/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.67/1.12 Y }.
% 0.67/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.67/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.67/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.67/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.67/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.67/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.67/1.12 { cyclefreeP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.67/1.12 { totalorderP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.67/1.12 { strictorderP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.67/1.12 { totalorderedP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.67/1.12 alpha10( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.67/1.12 .
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.67/1.12 Y ) ) }.
% 0.67/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.67/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.67/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.67/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.67/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.67/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.67/1.12 { strictorderedP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.67/1.12 alpha11( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.67/1.12 .
% 0.67/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.67/1.12 , Y ) ) }.
% 0.67/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.67/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.67/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.67/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.67/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.67/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.67/1.12 { duplicatefreeP( nil ) }.
% 0.67/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.67/1.12 { equalelemsP( nil ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.67/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.67/1.12 ( Y ) = tl( X ), Y = X }.
% 0.67/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.67/1.12 , Z = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.67/1.12 , Z = X }.
% 0.67/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.67/1.12 ( X, app( Y, Z ) ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.67/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.67/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.67/1.12 Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.67/1.12 , geq( X, Z ) }.
% 0.67/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.67/1.12 , lt( X, Z ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.67/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.67/1.12 gt( X, Z ) }.
% 0.67/1.12 { ssList( skol46 ) }.
% 0.67/1.12 { ssList( skol49 ) }.
% 0.67/1.12 { ssList( skol50 ) }.
% 0.67/1.12 { ssList( skol51 ) }.
% 0.67/1.12 { nil = skol50 }.
% 0.67/1.12 { skol49 = skol51 }.
% 0.67/1.12 { skol46 = skol50 }.
% 0.67/1.12 { neq( skol49, nil ) }.
% 0.67/1.12 { ! frontsegP( skol49, skol46 ) }.
% 0.67/1.12
% 0.67/1.12 *** allocated 15000 integers for clauses
% 0.67/1.12 percentage equality = 0.128878, percentage horn = 0.760563
% 0.67/1.12 This is a problem with some equality
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 Options Used:
% 0.67/1.12
% 0.67/1.12 useres = 1
% 0.67/1.12 useparamod = 1
% 0.67/1.12 useeqrefl = 1
% 0.67/1.12 useeqfact = 1
% 0.67/1.12 usefactor = 1
% 0.67/1.12 usesimpsplitting = 0
% 0.67/1.12 usesimpdemod = 5
% 0.67/1.12 usesimpres = 3
% 0.67/1.12
% 0.67/1.12 resimpinuse = 1000
% 0.67/1.12 resimpclauses = 20000
% 0.67/1.12 substype = eqrewr
% 0.67/1.12 backwardsubs = 1
% 0.67/1.12 selectoldest = 5
% 0.67/1.12
% 0.67/1.12 litorderings [0] = split
% 0.67/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.67/1.12
% 0.67/1.12 termordering = kbo
% 0.67/1.12
% 0.67/1.12 litapriori = 0
% 0.67/1.12 termapriori = 1
% 0.67/1.12 litaposteriori = 0
% 0.67/1.12 termaposteriori = 0
% 0.67/1.12 demodaposteriori = 0
% 0.67/1.12 ordereqreflfact = 0
% 0.67/1.12
% 0.67/1.12 litselect = negord
% 0.67/1.12
% 0.67/1.12 maxweight = 15
% 0.67/1.12 maxdepth = 30000
% 0.67/1.12 maxlength = 115
% 0.67/1.12 maxnrvars = 195
% 0.67/1.12 excuselevel = 1
% 0.67/1.12 increasemaxweight = 1
% 0.67/1.12
% 0.67/1.12 maxselected = 10000000
% 0.67/1.12 maxnrclauses = 10000000
% 0.67/1.12
% 0.67/1.12 showgenerated = 0
% 0.67/1.12 showkept = 0
% 0.67/1.12 showselected = 0
% 0.67/1.12 showdeleted = 0
% 0.67/1.12 showresimp = 1
% 0.67/1.12 showstatus = 2000
% 0.67/1.12
% 0.67/1.12 prologoutput = 0
% 0.67/1.12 nrgoals = 5000000
% 0.67/1.12 totalproof = 1
% 0.67/1.12
% 0.67/1.12 Symbols occurring in the translation:
% 0.67/1.12
% 0.67/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.67/1.12 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.67/1.12 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.67/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.67/1.12 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.67/1.12 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.67/1.12 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.67/1.12 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.67/1.12 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.67/1.12 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.67/1.12 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.67/1.12 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.67/1.12 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.67/1.12 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.67/1.12 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.67/1.12 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.67/1.12 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.67/1.12 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.67/1.12 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.67/1.12 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.67/1.12 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.67/1.12 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.67/1.12 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.67/1.12 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.67/1.12 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.67/1.12 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.67/1.12 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.67/1.12 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.67/1.12 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.67/1.12 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.67/1.12 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.67/1.12 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.67/1.12 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.67/1.12 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.67/1.12 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.67/1.12 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.67/1.12 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.67/1.12 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.67/1.12 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.67/1.12 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.67/1.12 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.67/1.12 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.67/1.12 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.67/1.12 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.67/1.12 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.67/1.12 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.67/1.12 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.67/1.12 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.67/1.12 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.67/1.12 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.67/1.12 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.67/1.12 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.67/1.12 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.67/1.12 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.67/1.12 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.67/1.12 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.67/1.12 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.67/1.12 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.67/1.12 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 0.67/1.12 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.67/1.12 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.67/1.12 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.67/1.12 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.67/1.12 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.67/1.12 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.67/1.12 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 0.67/1.12 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.67/1.12 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.67/1.12 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.67/1.12 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.67/1.12 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.67/1.12 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.67/1.12 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.67/1.12 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.67/1.12 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.67/1.12 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.67/1.12 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.67/1.12 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.67/1.12 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.67/1.12 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.67/1.12 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.67/1.12 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.67/1.12 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.67/1.12 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.67/1.12 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.67/1.12 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.67/1.12 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.67/1.12 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.67/1.12 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.67/1.12 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.67/1.12 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.67/1.12 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.67/1.12 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.67/1.12 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.67/1.12 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.67/1.12 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.67/1.12 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.67/1.12 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.67/1.12 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.67/1.12 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.67/1.12 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.67/1.12 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.67/1.12 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.67/1.12 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.67/1.12 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.67/1.12 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.67/1.12 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.67/1.12 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.67/1.12 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.67/1.12 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.67/1.12 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.67/1.12 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.67/1.12 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.67/1.12 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.67/1.12 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.67/1.12 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.67/1.12 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.67/1.12 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.67/1.12 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.67/1.12 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.67/1.12 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.67/1.12 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 Starting Search:
% 0.67/1.12
% 0.67/1.12 *** allocated 22500 integers for clauses
% 0.67/1.12 *** allocated 33750 integers for clauses
% 0.67/1.12
% 0.67/1.12 Bliksems!, er is een bewijs:
% 0.67/1.12 % SZS status Theorem
% 0.67/1.12 % SZS output start Refutation
% 0.67/1.12
% 0.67/1.12 (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil ) }.
% 0.67/1.12 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.67/1.12 (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 0.67/1.12 (281) {G1,W3,D2,L1,V0,M1} I;d(279) { skol46 ==> nil }.
% 0.67/1.12 (283) {G2,W3,D2,L1,V0,M1} I;d(281) { ! frontsegP( skol49, nil ) }.
% 0.67/1.12 (507) {G3,W0,D0,L0,V0,M0} R(200,283);r(276) { }.
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % SZS output end Refutation
% 0.67/1.12 found a proof!
% 0.67/1.12
% 0.67/1.12 *** allocated 22500 integers for termspace/termends
% 0.67/1.12 *** allocated 50625 integers for clauses
% 0.67/1.12
% 0.67/1.12 Unprocessed initial clauses:
% 0.67/1.12
% 0.67/1.12 (509) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ),
% 0.67/1.12 ! X = Y }.
% 0.67/1.12 (510) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (511) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.67/1.12 (512) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.67/1.12 (513) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.67/1.12 (514) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.67/1.12 ), ssList( skol2( Z, T ) ) }.
% 0.67/1.12 (515) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.67/1.12 ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.67/1.12 (516) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.67/1.12 (517) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.67/1.12 ) }.
% 0.67/1.12 (518) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3(
% 0.67/1.12 X, Y, Z ) ) ) = X }.
% 0.67/1.12 (519) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X,
% 0.67/1.12 alpha1( X, Y, Z ) }.
% 0.67/1.12 (520) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.67/1.12 skol4( Y ) ) }.
% 0.67/1.12 (521) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons( skol4
% 0.67/1.12 ( X ), nil ) = X }.
% 0.67/1.12 (522) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.67/1.12 ) = X, singletonP( X ) }.
% 0.67/1.12 (523) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.67/1.12 , Y ), ssList( skol5( Z, T ) ) }.
% 0.67/1.12 (524) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.67/1.12 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.67/1.12 (525) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.67/1.12 (526) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.67/1.12 Y ), ssList( skol6( Z, T ) ) }.
% 0.67/1.12 (527) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.67/1.12 Y ), app( skol6( X, Y ), Y ) = X }.
% 0.67/1.12 (528) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.67/1.12 (529) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.67/1.12 Y ), ssList( skol7( Z, T ) ) }.
% 0.67/1.12 (530) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.67/1.12 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.67/1.12 (531) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.67/1.12 (532) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.67/1.12 ) }.
% 0.67/1.12 (533) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.67/1.12 ( X, Y, Z ) ) = X }.
% 0.67/1.12 (534) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.67/1.12 alpha2( X, Y, Z ) }.
% 0.67/1.12 (535) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.67/1.12 ), alpha3( X, Y ) }.
% 0.67/1.12 (536) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.67/1.12 cyclefreeP( X ) }.
% 0.67/1.12 (537) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.67/1.12 cyclefreeP( X ) }.
% 0.67/1.12 (538) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (539) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.67/1.12 (540) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (541) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (542) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (543) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.67/1.12 alpha21( X, Y, Z ) }.
% 0.67/1.12 (544) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha35( X, Y, Z, T, U ) }.
% 0.67/1.12 (545) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (546) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) )
% 0.67/1.12 , alpha28( X, Y, Z, T ) }.
% 0.67/1.12 (547) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha41( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (548) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha35( X, Y, Z, T, U ) }.
% 0.67/1.12 (549) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.67/1.12 (550) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.67/1.12 (551) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha41( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (552) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.67/1.12 ) }.
% 0.67/1.12 (553) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.67/1.12 ) }.
% 0.67/1.12 (554) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.67/1.12 (555) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.67/1.12 (556) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y
% 0.67/1.12 ), alpha4( X, Y ) }.
% 0.67/1.12 (557) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.67/1.12 totalorderP( X ) }.
% 0.67/1.12 (558) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.67/1.12 totalorderP( X ) }.
% 0.67/1.12 (559) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (560) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.67/1.12 (561) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (562) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (563) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (564) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.67/1.12 alpha22( X, Y, Z ) }.
% 0.67/1.12 (565) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha36( X, Y, Z, T, U ) }.
% 0.67/1.12 (566) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (567) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) )
% 0.67/1.12 , alpha29( X, Y, Z, T ) }.
% 0.67/1.12 (568) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha42( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (569) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha36( X, Y, Z, T, U ) }.
% 0.67/1.12 (570) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.67/1.12 (571) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.67/1.12 (572) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha42( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (573) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.67/1.12 ) }.
% 0.67/1.12 (574) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.67/1.12 }.
% 0.67/1.12 (575) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.67/1.12 (576) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.67/1.12 (577) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem(
% 0.67/1.12 Y ), alpha5( X, Y ) }.
% 0.67/1.12 (578) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.67/1.12 strictorderP( X ) }.
% 0.67/1.12 (579) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.67/1.12 strictorderP( X ) }.
% 0.67/1.12 (580) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (581) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.67/1.12 (582) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (583) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (584) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (585) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.67/1.12 alpha23( X, Y, Z ) }.
% 0.67/1.12 (586) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha37( X, Y, Z, T, U ) }.
% 0.67/1.12 (587) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (588) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) )
% 0.67/1.12 , alpha30( X, Y, Z, T ) }.
% 0.67/1.12 (589) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha43( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (590) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha37( X, Y, Z, T, U ) }.
% 0.67/1.12 (591) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.67/1.12 (592) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.67/1.12 (593) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha43( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (594) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.67/1.12 ) }.
% 0.67/1.12 (595) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.67/1.12 (596) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.67/1.12 (597) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.67/1.12 (598) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.67/1.12 ( Y ), alpha6( X, Y ) }.
% 0.67/1.12 (599) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.67/1.12 totalorderedP( X ) }.
% 0.67/1.12 (600) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.67/1.12 totalorderedP( X ) }.
% 0.67/1.12 (601) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (602) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.67/1.12 (603) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (604) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (605) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (606) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.67/1.12 alpha15( X, Y, Z ) }.
% 0.67/1.12 (607) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha31( X, Y, Z, T, U ) }.
% 0.67/1.12 (608) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (609) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) )
% 0.67/1.12 , alpha24( X, Y, Z, T ) }.
% 0.67/1.12 (610) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha38( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (611) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha31( X, Y, Z, T, U ) }.
% 0.67/1.12 (612) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.67/1.12 (613) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.67/1.12 (614) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha38( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (615) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.67/1.12 }.
% 0.67/1.12 (616) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), ! ssItem
% 0.67/1.12 ( Y ), alpha7( X, Y ) }.
% 0.67/1.12 (617) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.67/1.12 strictorderedP( X ) }.
% 0.67/1.12 (618) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.67/1.12 strictorderedP( X ) }.
% 0.67/1.12 (619) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (620) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.67/1.12 (621) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (622) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (623) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (624) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.67/1.12 alpha16( X, Y, Z ) }.
% 0.67/1.12 (625) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha32( X, Y, Z, T, U ) }.
% 0.67/1.12 (626) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (627) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) )
% 0.67/1.12 , alpha25( X, Y, Z, T ) }.
% 0.67/1.12 (628) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha39( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (629) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha32( X, Y, Z, T, U ) }.
% 0.67/1.12 (630) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.67/1.12 (631) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.67/1.12 (632) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha39( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (633) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (634) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem
% 0.67/1.12 ( Y ), alpha8( X, Y ) }.
% 0.67/1.12 (635) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.67/1.12 duplicatefreeP( X ) }.
% 0.67/1.12 (636) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.67/1.12 duplicatefreeP( X ) }.
% 0.67/1.12 (637) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (638) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.67/1.12 (639) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (640) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (641) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (642) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.67/1.12 alpha17( X, Y, Z ) }.
% 0.67/1.12 (643) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha33( X, Y, Z, T, U ) }.
% 0.67/1.12 (644) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (645) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) )
% 0.67/1.12 , alpha26( X, Y, Z, T ) }.
% 0.67/1.12 (646) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.67/1.12 alpha40( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (647) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.67/1.12 alpha33( X, Y, Z, T, U ) }.
% 0.67/1.12 (648) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.67/1.12 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.67/1.12 (649) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.67/1.12 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.67/1.12 (650) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.67/1.12 X, alpha40( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (651) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.67/1.12 (652) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y
% 0.67/1.12 ), alpha9( X, Y ) }.
% 0.67/1.12 (653) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.67/1.12 equalelemsP( X ) }.
% 0.67/1.12 (654) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.67/1.12 equalelemsP( X ) }.
% 0.67/1.12 (655) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y
% 0.67/1.12 , Z ) }.
% 0.67/1.12 (656) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.67/1.12 (657) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (658) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.67/1.12 ( X, Y, Z, T ) }.
% 0.67/1.12 (659) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.67/1.12 ) }.
% 0.67/1.12 (660) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.67/1.12 alpha18( X, Y, Z ) }.
% 0.67/1.12 (661) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.67/1.12 alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 (662) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.67/1.12 , Y, Z, T ) }.
% 0.67/1.12 (663) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) )
% 0.67/1.12 , alpha27( X, Y, Z, T ) }.
% 0.67/1.12 (664) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y
% 0.67/1.12 , cons( Z, U ) ) ) = X, Y = Z }.
% 0.67/1.12 (665) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.67/1.12 alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 (666) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.67/1.12 (667) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ),
% 0.67/1.12 ! X = Y }.
% 0.67/1.12 (668) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X,
% 0.67/1.12 Y ) }.
% 0.67/1.12 (669) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.67/1.12 , X ) ) }.
% 0.67/1.12 (670) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.67/1.12 (671) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) =
% 0.67/1.12 X }.
% 0.67/1.12 (672) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.67/1.12 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.67/1.12 (673) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.67/1.12 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.67/1.12 (674) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.67/1.12 }.
% 0.67/1.12 (675) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.67/1.12 }.
% 0.67/1.12 (676) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.67/1.12 skol43( X ) ) = X }.
% 0.67/1.12 (677) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.67/1.12 , X ) }.
% 0.67/1.12 (678) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.67/1.12 (679) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.67/1.12 ) ) = Y }.
% 0.67/1.12 (680) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.67/1.12 (681) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.67/1.12 ) ) = X }.
% 0.67/1.12 (682) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X,
% 0.67/1.12 Y ) ) }.
% 0.67/1.12 (683) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.67/1.12 cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.67/1.12 (684) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.67/1.12 (685) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.67/1.12 ! leq( Y, X ), X = Y }.
% 0.67/1.12 (686) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.67/1.12 ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.67/1.12 (687) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.67/1.12 (688) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.67/1.12 leq( Y, X ) }.
% 0.67/1.12 (689) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ),
% 0.67/1.12 geq( X, Y ) }.
% 0.67/1.12 (690) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.67/1.12 lt( Y, X ) }.
% 0.67/1.12 (691) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.67/1.12 ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.67/1.12 (692) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.67/1.12 lt( Y, X ) }.
% 0.67/1.12 (693) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.67/1.12 gt( X, Y ) }.
% 0.67/1.12 (694) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.67/1.12 (695) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.67/1.12 (696) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.67/1.12 (697) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.67/1.12 (698) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.67/1.12 (699) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.67/1.12 (700) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.67/1.12 (701) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.67/1.12 (702) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.67/1.12 (703) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.67/1.12 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.67/1.12 (704) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.67/1.12 (705) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.67/1.12 (706) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.67/1.12 (707) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T
% 0.67/1.12 ) }.
% 0.67/1.12 (708) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.67/1.12 ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.67/1.12 cons( Y, T ) ) }.
% 0.67/1.12 (709) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.67/1.12 (710) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.67/1.12 }.
% 0.67/1.12 (711) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.67/1.12 }.
% 0.67/1.12 (712) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.67/1.12 (713) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.67/1.12 Y ), ! rearsegP( Y, X ), X = Y }.
% 0.67/1.12 (714) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.67/1.12 (715) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.67/1.12 (716) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.67/1.12 (717) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.67/1.12 }.
% 0.67/1.12 (718) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.67/1.12 }.
% 0.67/1.12 (719) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.67/1.12 (720) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.67/1.12 Y ), ! segmentP( Y, X ), X = Y }.
% 0.67/1.12 (721) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.67/1.12 (722) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.67/1.12 }.
% 0.67/1.12 (723) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.67/1.12 (724) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.67/1.12 }.
% 0.67/1.12 (725) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.67/1.12 }.
% 0.67/1.12 (726) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.67/1.12 }.
% 0.67/1.12 (727) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.67/1.12 (728) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.67/1.12 }.
% 0.67/1.12 (729) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.67/1.12 (730) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.67/1.12 }.
% 0.67/1.12 (731) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.67/1.12 (732) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil ) )
% 0.67/1.12 }.
% 0.67/1.12 (733) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.67/1.12 (734) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), ! totalorderedP
% 0.67/1.12 ( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.67/1.12 (735) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.67/1.12 totalorderedP( cons( X, Y ) ) }.
% 0.67/1.12 (736) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y
% 0.67/1.12 ), totalorderedP( cons( X, Y ) ) }.
% 0.67/1.12 (737) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.67/1.12 (738) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.67/1.12 (739) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.67/1.12 }.
% 0.67/1.12 (740) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.67/1.12 (741) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.67/1.12 (742) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.67/1.12 alpha19( X, Y ) }.
% 0.67/1.12 (743) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.67/1.12 ) }.
% 0.67/1.12 (744) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.67/1.12 (745) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.67/1.12 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.67/1.12 (746) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.67/1.12 strictorderedP( cons( X, Y ) ) }.
% 0.67/1.12 (747) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y
% 0.67/1.12 ), strictorderedP( cons( X, Y ) ) }.
% 0.67/1.12 (748) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.67/1.12 (749) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.67/1.12 (750) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.67/1.12 }.
% 0.67/1.12 (751) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.67/1.12 (752) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.67/1.12 (753) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.67/1.12 alpha20( X, Y ) }.
% 0.67/1.12 (754) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.67/1.12 ) }.
% 0.67/1.12 (755) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.67/1.12 (756) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.67/1.12 }.
% 0.67/1.12 (757) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.67/1.12 (758) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.67/1.12 }.
% 0.67/1.12 (759) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X )
% 0.67/1.12 }.
% 0.67/1.12 (760) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.67/1.12 }.
% 0.67/1.12 (761) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X )
% 0.67/1.12 }.
% 0.67/1.12 (762) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.67/1.12 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.67/1.12 (763) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.67/1.12 ) ) = X }.
% 0.67/1.12 (764) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.67/1.12 (765) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.67/1.12 (766) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.67/1.12 app( cons( Y, nil ), X ) }.
% 0.67/1.12 (767) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.67/1.12 app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.67/1.12 (768) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.67/1.12 , Y ), nil = Y }.
% 0.67/1.12 (769) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.67/1.12 , Y ), nil = X }.
% 0.67/1.12 (770) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.67/1.12 nil = X, nil = app( X, Y ) }.
% 0.67/1.12 (771) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.67/1.12 (772) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.67/1.12 app( X, Y ) ) = hd( X ) }.
% 0.67/1.12 (773) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.67/1.12 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.67/1.12 (774) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.67/1.12 ! geq( Y, X ), X = Y }.
% 0.67/1.12 (775) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.67/1.12 ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.67/1.12 (776) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.67/1.12 (777) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.67/1.12 (778) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.67/1.12 ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.67/1.12 (779) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.67/1.12 X = Y, lt( X, Y ) }.
% 0.67/1.12 (780) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.67/1.12 X = Y }.
% 0.67/1.12 (781) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.67/1.12 leq( X, Y ) }.
% 0.67/1.12 (782) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X
% 0.67/1.12 , Y ), lt( X, Y ) }.
% 0.67/1.12 (783) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), !
% 0.67/1.12 gt( Y, X ) }.
% 0.67/1.12 (784) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.67/1.12 ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.67/1.12 (785) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.67/1.12 (786) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.67/1.12 (787) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.67/1.12 (788) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.67/1.12 (789) {G0,W3,D2,L1,V0,M1} { nil = skol50 }.
% 0.67/1.12 (790) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.67/1.12 (791) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.67/1.12 (792) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.67/1.12 (793) {G0,W3,D2,L1,V0,M1} { ! frontsegP( skol49, skol46 ) }.
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 Total Proof:
% 0.67/1.12
% 0.67/1.12 subsumption: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 0.67/1.12 ) }.
% 0.67/1.12 parent0: (709) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil )
% 0.67/1.14 }.
% 0.67/1.14 substitution0:
% 0.67/1.14 X := X
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 0 ==> 0
% 0.67/1.14 1 ==> 1
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 *** allocated 33750 integers for termspace/termends
% 0.67/1.14 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.67/1.14 parent0: (786) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 0 ==> 0
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 *** allocated 75937 integers for clauses
% 0.67/1.14 eqswap: (1641) {G0,W3,D2,L1,V0,M1} { skol50 = nil }.
% 0.67/1.14 parent0[0]: (789) {G0,W3,D2,L1,V0,M1} { nil = skol50 }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 0.67/1.14 parent0: (1641) {G0,W3,D2,L1,V0,M1} { skol50 = nil }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 0 ==> 0
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 *** allocated 50625 integers for termspace/termends
% 0.67/1.14 paramod: (2284) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.67/1.14 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol50 ==> nil }.
% 0.67/1.14 parent1[0; 2]: (791) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 substitution1:
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 subsumption: (281) {G1,W3,D2,L1,V0,M1} I;d(279) { skol46 ==> nil }.
% 0.67/1.14 parent0: (2284) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 0 ==> 0
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 *** allocated 113905 integers for clauses
% 0.67/1.14 paramod: (2932) {G1,W3,D2,L1,V0,M1} { ! frontsegP( skol49, nil ) }.
% 0.67/1.14 parent0[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279) { skol46 ==> nil }.
% 0.67/1.14 parent1[0; 3]: (793) {G0,W3,D2,L1,V0,M1} { ! frontsegP( skol49, skol46 )
% 0.67/1.14 }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 substitution1:
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 subsumption: (283) {G2,W3,D2,L1,V0,M1} I;d(281) { ! frontsegP( skol49, nil
% 0.67/1.14 ) }.
% 0.67/1.14 parent0: (2932) {G1,W3,D2,L1,V0,M1} { ! frontsegP( skol49, nil ) }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 0 ==> 0
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 resolution: (2933) {G1,W2,D2,L1,V0,M1} { ! ssList( skol49 ) }.
% 0.67/1.14 parent0[0]: (283) {G2,W3,D2,L1,V0,M1} I;d(281) { ! frontsegP( skol49, nil )
% 0.67/1.14 }.
% 0.67/1.14 parent1[1]: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 0.67/1.14 ) }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 substitution1:
% 0.67/1.14 X := skol49
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 resolution: (2934) {G1,W0,D0,L0,V0,M0} { }.
% 0.67/1.14 parent0[0]: (2933) {G1,W2,D2,L1,V0,M1} { ! ssList( skol49 ) }.
% 0.67/1.14 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 substitution1:
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 subsumption: (507) {G3,W0,D0,L0,V0,M0} R(200,283);r(276) { }.
% 0.67/1.14 parent0: (2934) {G1,W0,D0,L0,V0,M0} { }.
% 0.67/1.14 substitution0:
% 0.67/1.14 end
% 0.67/1.14 permutation0:
% 0.67/1.14 end
% 0.67/1.14
% 0.67/1.14 Proof check complete!
% 0.67/1.14
% 0.67/1.14 Memory use:
% 0.67/1.14
% 0.67/1.14 space for terms: 13076
% 0.67/1.14 space for clauses: 29154
% 0.67/1.14
% 0.67/1.14
% 0.67/1.14 clauses generated: 832
% 0.67/1.14 clauses kept: 508
% 0.67/1.14 clauses selected: 52
% 0.67/1.14 clauses deleted: 3
% 0.67/1.14 clauses inuse deleted: 0
% 0.67/1.14
% 0.67/1.14 subsentry: 12766
% 0.67/1.14 literals s-matched: 6928
% 0.67/1.14 literals matched: 6103
% 0.67/1.14 full subsumption: 3739
% 0.67/1.14
% 0.67/1.14 checksum: 1518241095
% 0.67/1.14
% 0.67/1.14
% 0.67/1.14 Bliksem ended
%------------------------------------------------------------------------------