TSTP Solution File: SWC217+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 19:34:54 EDT 2022
% Result : Theorem 0.79s 1.42s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 11 23:21:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.79/1.18 *** allocated 10000 integers for termspace/termends
% 0.79/1.18 *** allocated 10000 integers for clauses
% 0.79/1.18 *** allocated 10000 integers for justifications
% 0.79/1.18 Bliksem 1.12
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Automatic Strategy Selection
% 0.79/1.18
% 0.79/1.18 *** allocated 15000 integers for termspace/termends
% 0.79/1.18
% 0.79/1.18 Clauses:
% 0.79/1.18
% 0.79/1.18 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.79/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.79/1.18 { ssItem( skol1 ) }.
% 0.79/1.18 { ssItem( skol47 ) }.
% 0.79/1.18 { ! skol1 = skol47 }.
% 0.79/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.79/1.18 }.
% 0.79/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.79/1.18 Y ) ) }.
% 0.79/1.18 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.79/1.18 ( X, Y ) }.
% 0.79/1.18 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.79/1.18 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.79/1.18 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.79/1.18 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.79/1.18 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.79/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.79/1.18 ) }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.79/1.18 ) = X }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.79/1.18 ( X, Y ) }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.79/1.18 }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.79/1.18 = X }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.79/1.18 ( X, Y ) }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.79/1.18 }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.79/1.18 , Y ) ) }.
% 0.79/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.79/1.18 segmentP( X, Y ) }.
% 0.79/1.18 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.79/1.18 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.79/1.18 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.79/1.18 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.79/1.19 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.79/1.19 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.79/1.19 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.79/1.19 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.79/1.19 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, alpha12( Y, Z ) }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.79/1.19 { leq( X, Y ), alpha12( X, Y ) }.
% 0.79/1.19 { leq( Y, X ), alpha12( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.79/1.19 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.79/1.19 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.79/1.19 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.79/1.19 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.79/1.19 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, alpha13( Y, Z ) }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.79/1.19 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.79/1.19 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.79/1.19 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.79/1.19 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.79/1.19 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.79/1.19 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.79/1.19 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, alpha14( Y, Z ) }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.79/1.19 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.79/1.19 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.79/1.19 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.79/1.19 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.79/1.19 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.79/1.19 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.79/1.19 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, leq( Y, Z ) }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.79/1.19 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.79/1.19 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.79/1.19 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.79/1.19 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.79/1.19 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, lt( Y, Z ) }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.79/1.19 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.79/1.19 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.79/1.19 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.79/1.19 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.79/1.19 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.79/1.19 .
% 0.79/1.19 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.79/1.19 , U ) }.
% 0.79/1.19 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.19 ) ) = X, ! Y = Z }.
% 0.79/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.79/1.19 W ) }.
% 0.79/1.19 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.19 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.79/1.19 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.79/1.19 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.79/1.19 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.79/1.19 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.79/1.19 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.79/1.19 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.79/1.19 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.79/1.19 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.79/1.19 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.79/1.19 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.79/1.19 Z }.
% 0.79/1.19 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.79/1.19 { ssList( nil ) }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.79/1.19 ) = cons( T, Y ), Z = T }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.79/1.19 ) = cons( T, Y ), Y = X }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.79/1.19 ( cons( Z, Y ), X ) }.
% 0.79/1.19 { ! ssList( X ), app( nil, X ) = X }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.79/1.19 , leq( X, Z ) }.
% 0.79/1.19 { ! ssItem( X ), leq( X, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.79/1.19 lt( X, Z ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.79/1.19 , memberP( Y, X ), memberP( Z, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.79/1.19 app( Y, Z ), X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.79/1.19 app( Y, Z ), X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.79/1.19 , X = Y, memberP( Z, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.79/1.19 ), X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.79/1.19 cons( Y, Z ), X ) }.
% 0.79/1.19 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.79/1.19 { ! singletonP( nil ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.79/1.19 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.79/1.19 = Y }.
% 0.79/1.19 { ! ssList( X ), frontsegP( X, X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.79/1.19 frontsegP( app( X, Z ), Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.79/1.19 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.79/1.19 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.79/1.19 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.79/1.19 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.79/1.19 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.79/1.19 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.79/1.19 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.79/1.19 Y }.
% 0.79/1.19 { ! ssList( X ), rearsegP( X, X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.79/1.19 ( app( Z, X ), Y ) }.
% 0.79/1.19 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.79/1.19 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.79/1.19 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.79/1.19 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.79/1.19 Y }.
% 0.79/1.19 { ! ssList( X ), segmentP( X, X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.79/1.19 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.79/1.19 { ! ssList( X ), segmentP( X, nil ) }.
% 0.79/1.19 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.79/1.19 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.79/1.19 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.79/1.19 { cyclefreeP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.79/1.19 { totalorderP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.79/1.19 { strictorderP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.79/1.19 { totalorderedP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.79/1.19 alpha10( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.79/1.19 .
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.79/1.19 Y ) ) }.
% 0.79/1.19 { ! alpha10( X, Y ), ! nil = Y }.
% 0.79/1.19 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.79/1.19 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.79/1.19 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.79/1.19 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.79/1.19 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.79/1.19 { strictorderedP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.79/1.19 alpha11( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.79/1.19 .
% 0.79/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.79/1.19 , Y ) ) }.
% 0.79/1.19 { ! alpha11( X, Y ), ! nil = Y }.
% 0.79/1.19 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.79/1.19 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.79/1.19 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.79/1.19 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.79/1.19 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.79/1.19 { duplicatefreeP( nil ) }.
% 0.79/1.19 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.79/1.19 { equalelemsP( nil ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.79/1.19 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.79/1.19 ( Y ) = tl( X ), Y = X }.
% 0.79/1.19 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.79/1.19 , Z = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.79/1.19 , Z = X }.
% 0.79/1.19 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.79/1.19 ( X, app( Y, Z ) ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.79/1.19 { ! ssList( X ), app( X, nil ) = X }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.79/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.79/1.19 Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.79/1.19 , geq( X, Z ) }.
% 0.79/1.19 { ! ssItem( X ), geq( X, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! lt( X, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.79/1.19 , lt( X, Z ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.79/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.79/1.19 gt( X, Z ) }.
% 0.79/1.19 { ssList( skol46 ) }.
% 0.79/1.19 { ssList( skol49 ) }.
% 0.79/1.19 { ssList( skol50 ) }.
% 0.79/1.19 { ssList( skol51 ) }.
% 0.79/1.19 { skol49 = skol51 }.
% 0.79/1.19 { skol46 = skol50 }.
% 0.79/1.19 { neq( skol49, nil ) }.
% 0.79/1.19 { ! neq( skol46, nil ) }.
% 0.79/1.19 { nil = skol50, ! nil = skol51 }.
% 0.79/1.19 { ssItem( skol52 ), ! neq( skol51, nil ) }.
% 0.79/1.19 { cons( skol52, nil ) = skol50, ! neq( skol51, nil ) }.
% 0.79/1.19 { memberP( skol51, skol52 ), ! neq( skol51, nil ) }.
% 0.79/1.19
% 0.79/1.19 *** allocated 15000 integers for clauses
% 0.79/1.19 percentage equality = 0.130178, percentage horn = 0.763066
% 0.79/1.19 This is a problem with some equality
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 Options Used:
% 0.79/1.19
% 0.79/1.19 useres = 1
% 0.79/1.19 useparamod = 1
% 0.79/1.19 useeqrefl = 1
% 0.79/1.19 useeqfact = 1
% 0.79/1.19 usefactor = 1
% 0.79/1.19 usesimpsplitting = 0
% 0.79/1.19 usesimpdemod = 5
% 0.79/1.19 usesimpres = 3
% 0.79/1.19
% 0.79/1.19 resimpinuse = 1000
% 0.79/1.19 resimpclauses = 20000
% 0.79/1.19 substype = eqrewr
% 0.79/1.19 backwardsubs = 1
% 0.79/1.19 selectoldest = 5
% 0.79/1.19
% 0.79/1.19 litorderings [0] = split
% 0.79/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.19
% 0.79/1.19 termordering = kbo
% 0.79/1.19
% 0.79/1.19 litapriori = 0
% 0.79/1.19 termapriori = 1
% 0.79/1.19 litaposteriori = 0
% 0.79/1.19 termaposteriori = 0
% 0.79/1.19 demodaposteriori = 0
% 0.79/1.19 ordereqreflfact = 0
% 0.79/1.19
% 0.79/1.19 litselect = negord
% 0.79/1.19
% 0.79/1.19 maxweight = 15
% 0.79/1.19 maxdepth = 30000
% 0.79/1.19 maxlength = 115
% 0.79/1.19 maxnrvars = 195
% 0.79/1.19 excuselevel = 1
% 0.79/1.19 increasemaxweight = 1
% 0.79/1.19
% 0.79/1.19 maxselected = 10000000
% 0.79/1.19 maxnrclauses = 10000000
% 0.79/1.19
% 0.79/1.19 showgenerated = 0
% 0.79/1.19 showkept = 0
% 0.79/1.19 showselected = 0
% 0.79/1.19 showdeleted = 0
% 0.79/1.19 showresimp = 1
% 0.79/1.19 showstatus = 2000
% 0.79/1.19
% 0.79/1.19 prologoutput = 0
% 0.79/1.19 nrgoals = 5000000
% 0.79/1.19 totalproof = 1
% 0.79/1.19
% 0.79/1.19 Symbols occurring in the translation:
% 0.79/1.19
% 0.79/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.19 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.79/1.19 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.79/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.19 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.79/1.19 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.79/1.19 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.79/1.19 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.79/1.19 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.79/1.19 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.79/1.19 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.79/1.19 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.19 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.79/1.19 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.79/1.42 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.79/1.42 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.79/1.42 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.79/1.42 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.79/1.42 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.79/1.42 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.79/1.42 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.79/1.42 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.79/1.42 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.79/1.42 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.79/1.42 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.79/1.42 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.79/1.42 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.79/1.42 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.79/1.42 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.79/1.42 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.79/1.42 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.79/1.42 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.79/1.42 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.79/1.42 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.79/1.42 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.79/1.42 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.79/1.42 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.79/1.42 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.79/1.42 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.79/1.42 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.79/1.42 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.79/1.42 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.79/1.42 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.79/1.42 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.79/1.42 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.79/1.42 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.79/1.42 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.79/1.42 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.79/1.42 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.79/1.42 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.79/1.42 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.79/1.42 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.79/1.42 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.79/1.42 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.79/1.42 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.79/1.42 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.79/1.42 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.79/1.42 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.79/1.42 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.79/1.42 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.79/1.42 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.79/1.42 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.79/1.42 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.79/1.42 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.79/1.42 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.79/1.42 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.79/1.42 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.79/1.42 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.79/1.42 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.79/1.42 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.79/1.42 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.79/1.42 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.79/1.42 skol2 [109, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.79/1.42 skol3 [110, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.79/1.42 skol4 [111, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.79/1.42 skol5 [112, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.79/1.42 skol6 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.79/1.42 skol7 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.79/1.42 skol8 [115, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.79/1.42 skol9 [116, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.79/1.42 skol10 [117, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.79/1.42 skol11 [118, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.79/1.42 skol12 [119, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.79/1.42 skol13 [120, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.79/1.42 skol14 [121, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.79/1.42 skol15 [122, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.79/1.42 skol16 [123, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.79/1.42 skol17 [124, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.79/1.42 skol18 [125, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.79/1.42 skol19 [126, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.79/1.42 skol20 [127, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.79/1.42 skol21 [128, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.79/1.42 skol22 [129, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.79/1.42 skol23 [130, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.79/1.42 skol24 [131, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.79/1.42 skol25 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.79/1.42 skol26 [133, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.79/1.42 skol27 [134, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.79/1.42 skol28 [135, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.79/1.42 skol29 [136, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.79/1.42 skol30 [137, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.79/1.42 skol31 [138, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.79/1.42 skol32 [139, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.79/1.42 skol33 [140, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.79/1.42 skol34 [141, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.79/1.42 skol35 [142, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.79/1.42 skol36 [143, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.79/1.42 skol37 [144, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.79/1.42 skol38 [145, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.79/1.42 skol39 [146, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.79/1.42 skol40 [147, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.79/1.42 skol41 [148, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.79/1.42 skol42 [149, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.79/1.42 skol43 [150, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.79/1.42 skol44 [151, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.79/1.42 skol45 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.79/1.42 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.79/1.42 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.79/1.42 skol48 [155, 1] (w:1, o:42, a:1, s:1, b:1),
% 0.79/1.42 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.79/1.42 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.79/1.42 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 0.79/1.42 skol52 [159, 0] (w:1, o:19, a:1, s:1, b:1).
% 0.79/1.42
% 0.79/1.42
% 0.79/1.42 Starting Search:
% 0.79/1.42
% 0.79/1.42 *** allocated 22500 integers for clauses
% 0.79/1.42 *** allocated 33750 integers for clauses
% 0.79/1.42 *** allocated 50625 integers for clauses
% 0.79/1.42 *** allocated 22500 integers for termspace/termends
% 0.79/1.42 *** allocated 75937 integers for clauses
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 33750 integers for termspace/termends
% 0.79/1.42 *** allocated 113905 integers for clauses
% 0.79/1.42 *** allocated 50625 integers for termspace/termends
% 0.79/1.42
% 0.79/1.42 Intermediate Status:
% 0.79/1.42 Generated: 3725
% 0.79/1.42 Kept: 2023
% 0.79/1.42 Inuse: 253
% 0.79/1.42 Deleted: 9
% 0.79/1.42 Deletedinuse: 1
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 170857 integers for clauses
% 0.79/1.42 *** allocated 75937 integers for termspace/termends
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 256285 integers for clauses
% 0.79/1.42
% 0.79/1.42 Intermediate Status:
% 0.79/1.42 Generated: 7137
% 0.79/1.42 Kept: 4040
% 0.79/1.42 Inuse: 443
% 0.79/1.42 Deleted: 20
% 0.79/1.42 Deletedinuse: 12
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 113905 integers for termspace/termends
% 0.79/1.42 *** allocated 384427 integers for clauses
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42
% 0.79/1.42 Intermediate Status:
% 0.79/1.42 Generated: 10588
% 0.79/1.42 Kept: 6067
% 0.79/1.42 Inuse: 593
% 0.79/1.42 Deleted: 20
% 0.79/1.42 Deletedinuse: 12
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 170857 integers for termspace/termends
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 576640 integers for clauses
% 0.79/1.42
% 0.79/1.42 Intermediate Status:
% 0.79/1.42 Generated: 13545
% 0.79/1.42 Kept: 8117
% 0.79/1.42 Inuse: 678
% 0.79/1.42 Deleted: 31
% 0.79/1.42 Deletedinuse: 23
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42 *** allocated 256285 integers for termspace/termends
% 0.79/1.42
% 0.79/1.42 Intermediate Status:
% 0.79/1.42 Generated: 18616
% 0.79/1.42 Kept: 10478
% 0.79/1.42 Inuse: 756
% 0.79/1.42 Deleted: 40
% 0.79/1.42 Deletedinuse: 30
% 0.79/1.42
% 0.79/1.42 Resimplifying inuse:
% 0.79/1.42 Done
% 0.79/1.42
% 0.79/1.42
% 0.79/1.42 Bliksems!, er is een bewijs:
% 0.79/1.42 % SZS status Theorem
% 0.79/1.42 % SZS output start Refutation
% 0.79/1.42
% 0.79/1.42 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.79/1.42 ) = X, singletonP( X ) }.
% 0.79/1.42 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.79/1.42 (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.79/1.42 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.79/1.42 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.79/1.42 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.42 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.79/1.42 (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.79/1.42 (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { ssItem( skol52 ) }.
% 0.79/1.42 (285) {G1,W5,D3,L1,V0,M1} I;d(280);d(279);r(281) { cons( skol52, nil ) ==>
% 0.79/1.42 skol46 }.
% 0.79/1.42 (595) {G2,W7,D2,L3,V1,M3} R(13,284);d(285) { ! ssList( X ), singletonP( X )
% 0.79/1.42 , ! skol46 = X }.
% 0.79/1.42 (601) {G3,W2,D2,L1,V0,M1} Q(595);r(275) { singletonP( skol46 ) }.
% 0.79/1.42 (9905) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil ), skol46 ==>
% 0.79/1.42 nil }.
% 0.79/1.42 (10489) {G2,W3,D2,L1,V0,M1} S(9905);r(161) { skol46 ==> nil }.
% 0.79/1.42 (10490) {G4,W0,D0,L0,V0,M0} P(10489,601);r(192) { }.
% 0.79/1.42
% 0.79/1.42
% 0.79/1.42 % SZS output end Refutation
% 0.79/1.42 found a proof!
% 0.79/1.42
% 0.79/1.42
% 0.79/1.42 Unprocessed initial clauses:
% 0.79/1.42
% 0.79/1.42 (10492) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 0.79/1.42 , ! X = Y }.
% 0.79/1.42 (10493) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10494) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.79/1.42 (10495) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.79/1.42 (10496) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.79/1.42 (10497) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 0.79/1.42 , Y ), ssList( skol2( Z, T ) ) }.
% 0.79/1.42 (10498) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 0.79/1.42 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.79/1.42 (10499) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.42 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.79/1.42 (10500) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 0.79/1.42 ) ) }.
% 0.79/1.42 (10501) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 0.79/1.42 ( X, Y, Z ) ) ) = X }.
% 0.79/1.42 (10502) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 0.79/1.42 , alpha1( X, Y, Z ) }.
% 0.79/1.42 (10503) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.79/1.42 skol4( Y ) ) }.
% 0.79/1.42 (10504) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 0.79/1.42 skol4( X ), nil ) = X }.
% 0.79/1.42 (10505) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 0.79/1.42 nil ) = X, singletonP( X ) }.
% 0.79/1.42 (10506) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.79/1.42 X, Y ), ssList( skol5( Z, T ) ) }.
% 0.79/1.42 (10507) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.79/1.42 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.79/1.42 (10508) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.42 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.79/1.42 (10509) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.79/1.42 , Y ), ssList( skol6( Z, T ) ) }.
% 0.79/1.42 (10510) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.79/1.42 , Y ), app( skol6( X, Y ), Y ) = X }.
% 0.79/1.42 (10511) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.42 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.79/1.42 (10512) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.79/1.42 , Y ), ssList( skol7( Z, T ) ) }.
% 0.79/1.42 (10513) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.79/1.42 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.79/1.42 (10514) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.42 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.79/1.42 (10515) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 0.79/1.42 ) ) }.
% 0.79/1.42 (10516) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 0.79/1.42 skol8( X, Y, Z ) ) = X }.
% 0.79/1.42 (10517) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 0.79/1.42 , alpha2( X, Y, Z ) }.
% 0.79/1.42 (10518) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 0.79/1.42 Y ), alpha3( X, Y ) }.
% 0.79/1.42 (10519) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.79/1.42 cyclefreeP( X ) }.
% 0.79/1.42 (10520) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.79/1.42 cyclefreeP( X ) }.
% 0.79/1.42 (10521) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10522) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.79/1.42 (10523) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10524) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha28( X, Y, Z, T ) }.
% 0.79/1.42 (10525) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10526) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.79/1.42 alpha21( X, Y, Z ) }.
% 0.79/1.42 (10527) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha35( X, Y, Z, T, U ) }.
% 0.79/1.42 (10528) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10529) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 0.79/1.42 ), alpha28( X, Y, Z, T ) }.
% 0.79/1.42 (10530) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10531) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha35( X, Y, Z, T, U ) }.
% 0.79/1.42 (10532) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.42 (10533) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.79/1.42 (10534) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10535) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 0.79/1.42 W ) }.
% 0.79/1.42 (10536) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 0.79/1.42 X ) }.
% 0.79/1.42 (10537) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.79/1.42 (10538) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.79/1.42 (10539) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 0.79/1.42 ( Y ), alpha4( X, Y ) }.
% 0.79/1.42 (10540) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.79/1.42 totalorderP( X ) }.
% 0.79/1.42 (10541) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.79/1.42 totalorderP( X ) }.
% 0.79/1.42 (10542) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10543) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.79/1.42 (10544) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10545) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha29( X, Y, Z, T ) }.
% 0.79/1.42 (10546) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10547) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.79/1.42 alpha22( X, Y, Z ) }.
% 0.79/1.42 (10548) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha36( X, Y, Z, T, U ) }.
% 0.79/1.42 (10549) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10550) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 0.79/1.42 ), alpha29( X, Y, Z, T ) }.
% 0.79/1.42 (10551) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10552) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha36( X, Y, Z, T, U ) }.
% 0.79/1.42 (10553) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.42 (10554) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.79/1.42 (10555) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10556) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 0.79/1.42 W ) }.
% 0.79/1.42 (10557) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.79/1.42 }.
% 0.79/1.42 (10558) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.79/1.42 (10559) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.79/1.42 (10560) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 0.79/1.42 ( Y ), alpha5( X, Y ) }.
% 0.79/1.42 (10561) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.79/1.42 strictorderP( X ) }.
% 0.79/1.42 (10562) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.79/1.42 strictorderP( X ) }.
% 0.79/1.42 (10563) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10564) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.79/1.42 (10565) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10566) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha30( X, Y, Z, T ) }.
% 0.79/1.42 (10567) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10568) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.79/1.42 alpha23( X, Y, Z ) }.
% 0.79/1.42 (10569) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha37( X, Y, Z, T, U ) }.
% 0.79/1.42 (10570) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10571) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 0.79/1.42 ), alpha30( X, Y, Z, T ) }.
% 0.79/1.42 (10572) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10573) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha37( X, Y, Z, T, U ) }.
% 0.79/1.42 (10574) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.42 (10575) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.79/1.42 (10576) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10577) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 0.79/1.42 W ) }.
% 0.79/1.42 (10578) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 0.79/1.42 }.
% 0.79/1.42 (10579) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.79/1.42 (10580) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.79/1.42 (10581) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 0.79/1.42 ssItem( Y ), alpha6( X, Y ) }.
% 0.79/1.42 (10582) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.79/1.42 totalorderedP( X ) }.
% 0.79/1.42 (10583) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.79/1.42 totalorderedP( X ) }.
% 0.79/1.42 (10584) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10585) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.79/1.42 (10586) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10587) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha24( X, Y, Z, T ) }.
% 0.79/1.42 (10588) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10589) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.79/1.42 alpha15( X, Y, Z ) }.
% 0.79/1.42 (10590) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha31( X, Y, Z, T, U ) }.
% 0.79/1.42 (10591) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10592) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 0.79/1.42 ), alpha24( X, Y, Z, T ) }.
% 0.79/1.42 (10593) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10594) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha31( X, Y, Z, T, U ) }.
% 0.79/1.42 (10595) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.42 (10596) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.79/1.42 (10597) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10598) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.79/1.42 }.
% 0.79/1.42 (10599) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 0.79/1.42 ssItem( Y ), alpha7( X, Y ) }.
% 0.79/1.42 (10600) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.79/1.42 strictorderedP( X ) }.
% 0.79/1.42 (10601) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.79/1.42 strictorderedP( X ) }.
% 0.79/1.42 (10602) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10603) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.79/1.42 (10604) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10605) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha25( X, Y, Z, T ) }.
% 0.79/1.42 (10606) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10607) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.79/1.42 alpha16( X, Y, Z ) }.
% 0.79/1.42 (10608) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha32( X, Y, Z, T, U ) }.
% 0.79/1.42 (10609) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10610) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 0.79/1.42 ), alpha25( X, Y, Z, T ) }.
% 0.79/1.42 (10611) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10612) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha32( X, Y, Z, T, U ) }.
% 0.79/1.42 (10613) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.42 (10614) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.79/1.42 (10615) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10616) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.79/1.42 }.
% 0.79/1.42 (10617) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.79/1.42 ssItem( Y ), alpha8( X, Y ) }.
% 0.79/1.42 (10618) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.79/1.42 duplicatefreeP( X ) }.
% 0.79/1.42 (10619) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.79/1.42 duplicatefreeP( X ) }.
% 0.79/1.42 (10620) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10621) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.79/1.42 (10622) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10623) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha26( X, Y, Z, T ) }.
% 0.79/1.42 (10624) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10625) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.79/1.42 alpha17( X, Y, Z ) }.
% 0.79/1.42 (10626) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha33( X, Y, Z, T, U ) }.
% 0.79/1.42 (10627) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10628) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.79/1.42 ), alpha26( X, Y, Z, T ) }.
% 0.79/1.42 (10629) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.42 alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10630) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.79/1.42 alpha33( X, Y, Z, T, U ) }.
% 0.79/1.42 (10631) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 0.79/1.42 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.42 (10632) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 0.79/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.79/1.42 (10633) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.79/1.42 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10634) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.42 (10635) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 0.79/1.42 ( Y ), alpha9( X, Y ) }.
% 0.79/1.42 (10636) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.79/1.42 equalelemsP( X ) }.
% 0.79/1.42 (10637) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.79/1.42 equalelemsP( X ) }.
% 0.79/1.42 (10638) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 0.79/1.42 , Y, Z ) }.
% 0.79/1.42 (10639) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.79/1.42 (10640) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.79/1.42 , Y ) }.
% 0.79/1.42 (10641) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 0.79/1.42 alpha27( X, Y, Z, T ) }.
% 0.79/1.42 (10642) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 0.79/1.42 Z ) }.
% 0.79/1.42 (10643) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.79/1.42 alpha18( X, Y, Z ) }.
% 0.79/1.42 (10644) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.42 alpha34( X, Y, Z, T, U ) }.
% 0.79/1.42 (10645) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 0.79/1.42 X, Y, Z, T ) }.
% 0.79/1.42 (10646) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.79/1.42 ), alpha27( X, Y, Z, T ) }.
% 0.79/1.42 (10647) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 0.79/1.43 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.79/1.43 (10648) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.79/1.43 alpha34( X, Y, Z, T, U ) }.
% 0.79/1.43 (10649) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.43 (10650) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.79/1.43 , ! X = Y }.
% 0.79/1.43 (10651) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.79/1.43 , Y ) }.
% 0.79/1.43 (10652) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 0.79/1.43 Y, X ) ) }.
% 0.79/1.43 (10653) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.79/1.43 (10654) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.79/1.43 = X }.
% 0.79/1.43 (10655) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.79/1.43 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.79/1.43 (10656) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.79/1.43 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.79/1.43 (10657) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 0.79/1.43 ) }.
% 0.79/1.43 (10658) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 0.79/1.43 ) }.
% 0.79/1.43 (10659) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.79/1.43 skol43( X ) ) = X }.
% 0.79/1.43 (10660) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 0.79/1.43 Y, X ) }.
% 0.79/1.43 (10661) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 0.79/1.43 }.
% 0.79/1.43 (10662) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 0.79/1.43 X ) ) = Y }.
% 0.79/1.43 (10663) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 0.79/1.43 }.
% 0.79/1.43 (10664) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 0.79/1.43 X ) ) = X }.
% 0.79/1.43 (10665) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.79/1.43 , Y ) ) }.
% 0.79/1.43 (10666) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.79/1.43 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.79/1.43 (10667) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.79/1.43 (10668) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.79/1.43 , ! leq( Y, X ), X = Y }.
% 0.79/1.43 (10669) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.79/1.43 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.79/1.43 (10670) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.79/1.43 (10671) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.79/1.43 , leq( Y, X ) }.
% 0.79/1.43 (10672) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.79/1.43 , geq( X, Y ) }.
% 0.79/1.43 (10673) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.79/1.43 , ! lt( Y, X ) }.
% 0.79/1.43 (10674) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.79/1.43 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.79/1.43 (10675) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 0.79/1.43 , lt( Y, X ) }.
% 0.79/1.43 (10676) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 0.79/1.43 , gt( X, Y ) }.
% 0.79/1.43 (10677) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.79/1.43 (10678) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.79/1.43 (10679) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.79/1.43 (10680) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.79/1.43 (10681) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.79/1.43 (10682) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.79/1.43 (10683) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.79/1.43 (10684) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.79/1.43 (10685) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.79/1.43 (10686) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 0.79/1.43 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 0.79/1.43 (10687) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.79/1.43 (10688) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.79/1.43 (10689) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.79/1.43 (10690) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.79/1.43 , T ) }.
% 0.79/1.43 (10691) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.79/1.43 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.79/1.43 cons( Y, T ) ) }.
% 0.79/1.43 (10692) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.79/1.43 (10693) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 0.79/1.43 X }.
% 0.79/1.43 (10694) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 0.79/1.43 ) }.
% 0.79/1.43 (10695) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.79/1.43 (10696) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.79/1.43 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.79/1.43 (10697) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.79/1.43 (10698) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.79/1.43 (10699) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.79/1.43 (10700) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.79/1.43 }.
% 0.79/1.43 (10701) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.79/1.43 }.
% 0.79/1.43 (10702) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.79/1.43 (10703) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.79/1.43 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.79/1.43 (10704) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.79/1.43 (10705) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.79/1.43 }.
% 0.79/1.43 (10706) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.79/1.43 (10707) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.79/1.43 }.
% 0.79/1.43 (10708) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.79/1.43 }.
% 0.79/1.43 (10709) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.79/1.43 }.
% 0.79/1.43 (10710) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.79/1.43 (10711) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.79/1.43 }.
% 0.79/1.43 (10712) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.79/1.43 (10713) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 0.79/1.43 ) }.
% 0.79/1.43 (10714) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.79/1.43 (10715) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.79/1.43 ) }.
% 0.79/1.43 (10716) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.79/1.43 (10717) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.79/1.43 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.79/1.43 (10718) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.79/1.43 totalorderedP( cons( X, Y ) ) }.
% 0.79/1.43 (10719) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 0.79/1.43 , Y ), totalorderedP( cons( X, Y ) ) }.
% 0.79/1.43 (10720) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.79/1.43 (10721) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.79/1.43 (10722) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.79/1.43 }.
% 0.79/1.43 (10723) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.79/1.43 (10724) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.79/1.43 (10725) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.79/1.43 alpha19( X, Y ) }.
% 0.79/1.43 (10726) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 0.79/1.43 ) ) }.
% 0.79/1.43 (10727) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.79/1.43 (10728) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.79/1.43 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.79/1.43 (10729) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.79/1.43 strictorderedP( cons( X, Y ) ) }.
% 0.79/1.43 (10730) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 0.79/1.43 , Y ), strictorderedP( cons( X, Y ) ) }.
% 0.79/1.43 (10731) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.79/1.43 (10732) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.79/1.43 (10733) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.79/1.43 }.
% 0.79/1.43 (10734) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.79/1.43 (10735) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.79/1.43 (10736) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.79/1.43 alpha20( X, Y ) }.
% 0.79/1.43 (10737) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 0.79/1.43 ) ) }.
% 0.79/1.43 (10738) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.79/1.43 (10739) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.79/1.43 }.
% 0.79/1.43 (10740) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.79/1.43 (10741) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 0.79/1.43 ) }.
% 0.79/1.43 (10742) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.79/1.43 ) }.
% 0.79/1.43 (10743) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 0.79/1.43 ) }.
% 0.79/1.43 (10744) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.79/1.43 ) }.
% 0.79/1.43 (10745) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 0.79/1.43 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.79/1.43 (10746) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 0.79/1.43 X ) ) = X }.
% 0.79/1.43 (10747) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.79/1.43 (10748) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.79/1.43 (10749) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 0.79/1.43 = app( cons( Y, nil ), X ) }.
% 0.79/1.43 (10750) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.79/1.43 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.79/1.43 (10751) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 0.79/1.43 X, Y ), nil = Y }.
% 0.79/1.43 (10752) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 0.79/1.43 X, Y ), nil = X }.
% 0.79/1.43 (10753) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.79/1.43 nil = X, nil = app( X, Y ) }.
% 0.79/1.43 (10754) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.79/1.43 (10755) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.79/1.43 app( X, Y ) ) = hd( X ) }.
% 0.79/1.43 (10756) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.79/1.43 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.79/1.43 (10757) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.79/1.43 , ! geq( Y, X ), X = Y }.
% 0.79/1.43 (10758) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.79/1.43 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.79/1.43 (10759) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.79/1.43 (10760) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.79/1.43 (10761) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.79/1.43 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.79/1.43 (10762) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.79/1.43 , X = Y, lt( X, Y ) }.
% 0.79/1.43 (10763) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.79/1.43 , ! X = Y }.
% 0.79/1.43 (10764) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 0.79/1.43 , leq( X, Y ) }.
% 0.79/1.43 (10765) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 0.79/1.43 ( X, Y ), lt( X, Y ) }.
% 0.79/1.43 (10766) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 0.79/1.43 , ! gt( Y, X ) }.
% 0.79/1.43 (10767) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.79/1.43 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.79/1.43 (10768) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.79/1.43 (10769) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.79/1.43 (10770) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.79/1.43 (10771) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.79/1.43 (10772) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.79/1.43 (10773) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.79/1.43 (10774) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.79/1.43 (10775) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.79/1.43 (10776) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 0.79/1.43 (10777) {G0,W5,D2,L2,V0,M2} { ssItem( skol52 ), ! neq( skol51, nil ) }.
% 0.79/1.43 (10778) {G0,W8,D3,L2,V0,M2} { cons( skol52, nil ) = skol50, ! neq( skol51
% 0.79/1.43 , nil ) }.
% 0.79/1.43 (10779) {G0,W6,D2,L2,V0,M2} { memberP( skol51, skol52 ), ! neq( skol51,
% 0.79/1.43 nil ) }.
% 0.79/1.43
% 0.79/1.43
% 0.79/1.43 Total Proof:
% 0.79/1.43
% 0.79/1.43 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 0.79/1.43 cons( Y, nil ) = X, singletonP( X ) }.
% 0.79/1.43 parent0: (10505) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 0.79/1.43 cons( Y, nil ) = X, singletonP( X ) }.
% 0.79/1.43 substitution0:
% 0.79/1.43 X := X
% 0.79/1.43 Y := Y
% 0.79/1.43 end
% 0.79/1.43 permutation0:
% 0.79/1.43 0 ==> 0
% 0.79/1.43 1 ==> 1
% 0.79/1.43 2 ==> 2
% 0.79/1.43 3 ==> 3
% 0.79/1.43 end
% 0.79/1.43
% 0.79/1.43 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 0.79/1.43 = Y, neq( X, Y ) }.
% 0.79/1.43 parent0: (10651) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 0.79/1.43 Y, neq( X, Y ) }.
% 0.79/1.43 substitution0:
% 0.79/1.43 X := X
% 0.79/1.43 Y := Y
% 0.79/1.43 end
% 0.79/1.43 permutation0:
% 0.79/1.43 0 ==> 0
% 0.79/1.43 1 ==> 1
% 0.79/1.43 2 ==> 2
% 0.79/1.43 3 ==> 3
% 0.79/1.43 end
% 0.79/1.43
% 0.79/1.43 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.79/1.43 parent0: (10653) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.79/1.43 substitution0:
% 0.79/1.43 end
% 0.79/1.43 permutation0:
% 0.79/1.43 0 ==> 0
% 0.79/1.43 end
% 0.79/1.43
% 0.79/1.43 subsumption: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.79/1.43 parent0: (10684) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.79/1.43 substitution0:
% 0.79/1.43 end
% 0.79/1.43 permutation0:
% 0.79/1.43 0 ==> 0
% 0.79/1.43 end
% 0.79/1.43
% 0.79/1.43 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.79/1.44 parent0: (10768) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (11753) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.79/1.44 parent0[0]: (10772) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.79/1.44 parent0: (11753) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (12101) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.79/1.44 parent0[0]: (10773) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.44 parent0: (12101) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.79/1.44 parent0: (10774) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 *** allocated 864960 integers for clauses
% 0.79/1.44 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.79/1.44 parent0: (10775) {G0,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 paramod: (13449) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), ssItem(
% 0.79/1.44 skol52 ) }.
% 0.79/1.44 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.79/1.44 parent1[1; 2]: (10777) {G0,W5,D2,L2,V0,M2} { ssItem( skol52 ), ! neq(
% 0.79/1.44 skol51, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (13450) {G1,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 0.79/1.44 parent0[0]: (13449) {G1,W5,D2,L2,V0,M2} { ! neq( skol49, nil ), ssItem(
% 0.79/1.44 skol52 ) }.
% 0.79/1.44 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { ssItem( skol52 )
% 0.79/1.44 }.
% 0.79/1.44 parent0: (13450) {G1,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 paramod: (14395) {G1,W8,D3,L2,V0,M2} { cons( skol52, nil ) = skol46, ! neq
% 0.79/1.44 ( skol51, nil ) }.
% 0.79/1.44 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.44 parent1[0; 4]: (10778) {G0,W8,D3,L2,V0,M2} { cons( skol52, nil ) = skol50
% 0.79/1.44 , ! neq( skol51, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 paramod: (14396) {G1,W8,D3,L2,V0,M2} { ! neq( skol49, nil ), cons( skol52
% 0.79/1.44 , nil ) = skol46 }.
% 0.79/1.44 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.79/1.44 parent1[1; 2]: (14395) {G1,W8,D3,L2,V0,M2} { cons( skol52, nil ) = skol46
% 0.79/1.44 , ! neq( skol51, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14397) {G1,W5,D3,L1,V0,M1} { cons( skol52, nil ) = skol46 }.
% 0.79/1.44 parent0[0]: (14396) {G1,W8,D3,L2,V0,M2} { ! neq( skol49, nil ), cons(
% 0.79/1.44 skol52, nil ) = skol46 }.
% 0.79/1.44 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (285) {G1,W5,D3,L1,V0,M1} I;d(280);d(279);r(281) { cons(
% 0.79/1.44 skol52, nil ) ==> skol46 }.
% 0.79/1.44 parent0: (14397) {G1,W5,D3,L1,V0,M1} { cons( skol52, nil ) = skol46 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (14399) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 0.79/1.44 , ! ssItem( X ), singletonP( Y ) }.
% 0.79/1.44 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 0.79/1.44 cons( Y, nil ) = X, singletonP( X ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := Y
% 0.79/1.44 Y := X
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14401) {G1,W9,D3,L3,V1,M3} { ! X = cons( skol52, nil ), !
% 0.79/1.44 ssList( X ), singletonP( X ) }.
% 0.79/1.44 parent0[2]: (14399) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 0.79/1.44 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 0.79/1.44 parent1[0]: (284) {G1,W2,D2,L1,V0,M1} I;d(279);r(281) { ssItem( skol52 )
% 0.79/1.44 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := skol52
% 0.79/1.44 Y := X
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 paramod: (14402) {G2,W7,D2,L3,V1,M3} { ! X = skol46, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 parent0[0]: (285) {G1,W5,D3,L1,V0,M1} I;d(280);d(279);r(281) { cons( skol52
% 0.79/1.44 , nil ) ==> skol46 }.
% 0.79/1.44 parent1[0; 3]: (14401) {G1,W9,D3,L3,V1,M3} { ! X = cons( skol52, nil ), !
% 0.79/1.44 ssList( X ), singletonP( X ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 X := X
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (14403) {G2,W7,D2,L3,V1,M3} { ! skol46 = X, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 parent0[0]: (14402) {G2,W7,D2,L3,V1,M3} { ! X = skol46, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := X
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (595) {G2,W7,D2,L3,V1,M3} R(13,284);d(285) { ! ssList( X ),
% 0.79/1.44 singletonP( X ), ! skol46 = X }.
% 0.79/1.44 parent0: (14403) {G2,W7,D2,L3,V1,M3} { ! skol46 = X, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := X
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 2
% 0.79/1.44 1 ==> 0
% 0.79/1.44 2 ==> 1
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (14404) {G2,W7,D2,L3,V1,M3} { ! X = skol46, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 parent0[2]: (595) {G2,W7,D2,L3,V1,M3} R(13,284);d(285) { ! ssList( X ),
% 0.79/1.44 singletonP( X ), ! skol46 = X }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := X
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqrefl: (14405) {G0,W4,D2,L2,V0,M2} { ! ssList( skol46 ), singletonP(
% 0.79/1.44 skol46 ) }.
% 0.79/1.44 parent0[0]: (14404) {G2,W7,D2,L3,V1,M3} { ! X = skol46, ! ssList( X ),
% 0.79/1.44 singletonP( X ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := skol46
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14406) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 0.79/1.44 parent0[0]: (14405) {G0,W4,D2,L2,V0,M2} { ! ssList( skol46 ), singletonP(
% 0.79/1.44 skol46 ) }.
% 0.79/1.44 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (601) {G3,W2,D2,L1,V0,M1} Q(595);r(275) { singletonP( skol46 )
% 0.79/1.44 }.
% 0.79/1.44 parent0: (14406) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (14407) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 0.79/1.44 , neq( X, Y ) }.
% 0.79/1.44 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 0.79/1.44 = Y, neq( X, Y ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 X := X
% 0.79/1.44 Y := Y
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14408) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 0.79/1.44 , ! ssList( nil ) }.
% 0.79/1.44 parent0[0]: (282) {G0,W3,D2,L1,V0,M1} I { ! neq( skol46, nil ) }.
% 0.79/1.44 parent1[3]: (14407) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 0.79/1.44 ( Y ), neq( X, Y ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 X := skol46
% 0.79/1.44 Y := nil
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14409) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 0.79/1.44 }.
% 0.79/1.44 parent0[1]: (14408) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 0.79/1.44 , ! ssList( nil ) }.
% 0.79/1.44 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 eqswap: (14410) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 0.79/1.44 parent0[0]: (14409) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 0.79/1.44 }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (9905) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil )
% 0.79/1.44 , skol46 ==> nil }.
% 0.79/1.44 parent0: (14410) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 1
% 0.79/1.44 1 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 resolution: (14412) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.79/1.44 parent0[0]: (9905) {G1,W5,D2,L2,V0,M2} R(159,282);r(275) { ! ssList( nil )
% 0.79/1.44 , skol46 ==> nil }.
% 0.79/1.44 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 substitution1:
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 subsumption: (10489) {G2,W3,D2,L1,V0,M1} S(9905);r(161) { skol46 ==> nil
% 0.79/1.44 }.
% 0.79/1.44 parent0: (14412) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.79/1.44 substitution0:
% 0.79/1.44 end
% 0.79/1.44 permutation0:
% 0.79/1.44 0 ==> 0
% 0.79/1.44 end
% 0.79/1.44
% 0.79/1.44 paramod: (14415) {G3,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 0.79/1.44 parent0[0]: (10489) {G2,W3,D2,L1,V0,M1} S(9905);r(161) { skol46 ==> nil }.
% 0.79/1.45 parent1[0; 1]: (601) {G3,W2,D2,L1,V0,M1} Q(595);r(275) { singletonP( skol46
% 0.79/1.45 ) }.
% 0.79/1.45 substitution0:
% 0.79/1.45 end
% 0.79/1.45 substitution1:
% 0.79/1.45 end
% 0.79/1.45
% 0.79/1.45 resolution: (14416) {G1,W0,D0,L0,V0,M0} { }.
% 0.79/1.45 parent0[0]: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 0.79/1.45 parent1[0]: (14415) {G3,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 0.79/1.45 substitution0:
% 0.79/1.45 end
% 0.79/1.45 substitution1:
% 0.79/1.45 end
% 0.79/1.45
% 0.79/1.45 subsumption: (10490) {G4,W0,D0,L0,V0,M0} P(10489,601);r(192) { }.
% 0.79/1.45 parent0: (14416) {G1,W0,D0,L0,V0,M0} { }.
% 0.79/1.45 substitution0:
% 0.79/1.45 end
% 0.79/1.45 permutation0:
% 0.79/1.45 end
% 0.79/1.45
% 0.79/1.45 Proof check complete!
% 0.79/1.45
% 0.79/1.45 Memory use:
% 0.79/1.45
% 0.79/1.45 space for terms: 177864
% 0.79/1.45 space for clauses: 525714
% 0.79/1.45
% 0.79/1.45
% 0.79/1.45 clauses generated: 18681
% 0.79/1.45 clauses kept: 10491
% 0.79/1.45 clauses selected: 758
% 0.79/1.45 clauses deleted: 41
% 0.79/1.45 clauses inuse deleted: 30
% 0.79/1.45
% 0.79/1.45 subsentry: 34674
% 0.79/1.45 literals s-matched: 21592
% 0.79/1.45 literals matched: 18970
% 0.79/1.45 full subsumption: 11295
% 0.79/1.45
% 0.79/1.45 checksum: 768514817
% 0.79/1.45
% 0.79/1.45
% 0.79/1.45 Bliksem ended
%------------------------------------------------------------------------------