TSTP Solution File: SWC130+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC130+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 19:34:05 EDT 2022
% Result : Theorem 1.03s 1.38s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC130+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 12 08:00:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.09 *** allocated 10000 integers for termspace/termends
% 0.72/1.09 *** allocated 10000 integers for clauses
% 0.72/1.09 *** allocated 10000 integers for justifications
% 0.72/1.09 Bliksem 1.12
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Automatic Strategy Selection
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for termspace/termends
% 0.72/1.09
% 0.72/1.09 Clauses:
% 0.72/1.09
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.09 { ssItem( skol1 ) }.
% 0.72/1.09 { ssItem( skol47 ) }.
% 0.72/1.09 { ! skol1 = skol47 }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.09 Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.09 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.09 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.09 ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.09 ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.09 = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.09 ( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.09 }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.09 , Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.09 segmentP( X, Y ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.09 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.09 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.09 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.09 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.09 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.09 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.09 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.09 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.09 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.09 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.09 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.09 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.09 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.09 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.09 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.09 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.09 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.09 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.09 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.09 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.09 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.09 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.09 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.09 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.09 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, leq( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.09 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.09 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.09 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.09 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.09 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, lt( Y, Z ) }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.09 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.09 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.09 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.09 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.09 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.09 .
% 0.72/1.09 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.09 , U ) }.
% 0.72/1.09 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.09 ) ) = X, ! Y = Z }.
% 0.72/1.09 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.09 W ) }.
% 0.72/1.09 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.09 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.09 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.09 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.09 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.09 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.09 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.09 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.09 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.09 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.09 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.09 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.09 Z }.
% 0.72/1.09 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.09 { ssList( nil ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.09 ) = cons( T, Y ), Z = T }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.09 ) = cons( T, Y ), Y = X }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.09 ( cons( Z, Y ), X ) }.
% 0.72/1.09 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.09 , leq( X, Z ) }.
% 0.72/1.09 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.09 lt( X, Z ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.09 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.09 app( Y, Z ), X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.09 app( Y, Z ), X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.09 , X = Y, memberP( Z, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.09 ), X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.09 cons( Y, Z ), X ) }.
% 0.72/1.09 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.09 { ! singletonP( nil ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.09 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.09 = Y }.
% 0.72/1.09 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.09 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.09 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.09 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.09 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.09 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.09 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.09 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.09 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.09 Y }.
% 0.72/1.09 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.09 ( app( Z, X ), Y ) }.
% 0.72/1.09 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.09 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.09 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.09 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.09 Y }.
% 0.72/1.09 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.09 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.09 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.09 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.09 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.09 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.09 { cyclefreeP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.09 { totalorderP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.09 { strictorderP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.09 { totalorderedP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.09 alpha10( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.09 .
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.09 Y ) ) }.
% 0.72/1.09 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.09 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.09 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.09 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.09 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.09 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.09 { strictorderedP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.09 alpha11( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.09 .
% 0.72/1.09 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.09 , Y ) ) }.
% 0.72/1.09 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.09 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.09 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.09 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.09 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.09 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.09 { duplicatefreeP( nil ) }.
% 0.72/1.09 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.09 { equalelemsP( nil ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.09 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.09 ( Y ) = tl( X ), Y = X }.
% 0.72/1.09 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.09 , Z = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.09 , Z = X }.
% 0.72/1.09 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.09 ( X, app( Y, Z ) ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.09 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.09 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.09 Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.09 , geq( X, Z ) }.
% 0.72/1.09 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.09 , lt( X, Z ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.09 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.09 gt( X, Z ) }.
% 0.72/1.09 { ssList( skol46 ) }.
% 0.72/1.09 { ssList( skol49 ) }.
% 0.72/1.09 { ssList( skol50 ) }.
% 0.72/1.09 { ssList( skol51 ) }.
% 0.72/1.09 { skol49 = skol51 }.
% 0.72/1.09 { skol46 = skol50 }.
% 0.72/1.09 { ! neq( skol51, nil ) }.
% 0.72/1.09 { ! cyclefreeP( skol49 ) }.
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for clauses
% 0.72/1.09 percentage equality = 0.127838, percentage horn = 0.759717
% 0.72/1.09 This is a problem with some equality
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 1
% 0.72/1.09 useeqrefl = 1
% 0.72/1.09 useeqfact = 1
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 5
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = eqrewr
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.09
% 0.72/1.09 termordering = kbo
% 0.72/1.09
% 0.72/1.09 litapriori = 0
% 0.72/1.09 termapriori = 1
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = negord
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.09 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.72/1.09 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.09 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.09 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.09 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.09 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.09 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.09 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.72/1.09 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.09 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.72/1.09 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.72/1.09 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.96/1.38 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.96/1.38 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.96/1.38 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.96/1.38 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.96/1.38 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.96/1.38 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.96/1.38 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.96/1.38 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.96/1.38 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.96/1.38 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.96/1.38 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.96/1.38 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.96/1.38 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.96/1.38 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.96/1.38 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.96/1.38 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.96/1.38 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.96/1.38 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.96/1.38 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.96/1.38 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.96/1.38 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.96/1.38 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.96/1.38 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.96/1.38 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.96/1.38 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.96/1.38 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.96/1.38 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.96/1.38 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.96/1.38 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.96/1.38 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.96/1.38 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.96/1.38 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.96/1.38 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.96/1.38 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.96/1.38 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.96/1.38 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.96/1.38 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.96/1.38 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.96/1.38 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.96/1.38 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.96/1.38 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.96/1.38 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 0.96/1.38 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.96/1.38 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.96/1.38 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.96/1.38 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.96/1.38 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.96/1.38 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.96/1.38 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 0.96/1.38 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.96/1.38 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.96/1.38 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.96/1.38 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.96/1.38 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.96/1.38 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.96/1.38 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.96/1.38 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.96/1.38 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.96/1.38 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.96/1.38 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.96/1.38 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.96/1.38 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.96/1.38 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.96/1.38 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.96/1.38 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.96/1.38 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.96/1.38 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.96/1.38 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.96/1.38 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.96/1.38 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.96/1.38 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.96/1.38 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.96/1.38 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.96/1.38 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.96/1.38 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.96/1.38 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.96/1.38 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.96/1.38 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.96/1.38 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.96/1.38 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.96/1.38 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.96/1.38 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.96/1.38 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.96/1.38 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.96/1.38 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.96/1.38 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.96/1.38 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.96/1.38 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.96/1.38 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.96/1.38 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.96/1.38 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.96/1.38 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.96/1.38 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.96/1.38 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.96/1.38 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.96/1.38 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.96/1.38 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.96/1.38 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.96/1.38 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.96/1.38 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.96/1.38 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.96/1.38 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.96/1.38 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.96/1.38 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.96/1.38 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.96/1.38
% 0.96/1.38
% 0.96/1.38 Starting Search:
% 0.96/1.38
% 0.96/1.38 *** allocated 22500 integers for clauses
% 0.96/1.38 *** allocated 33750 integers for clauses
% 0.96/1.38 *** allocated 50625 integers for clauses
% 0.96/1.38 *** allocated 22500 integers for termspace/termends
% 0.96/1.38 *** allocated 75937 integers for clauses
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 33750 integers for termspace/termends
% 0.96/1.38 *** allocated 113905 integers for clauses
% 0.96/1.38 *** allocated 50625 integers for termspace/termends
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 3739
% 0.96/1.38 Kept: 2008
% 0.96/1.38 Inuse: 235
% 0.96/1.38 Deleted: 9
% 0.96/1.38 Deletedinuse: 3
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 170857 integers for clauses
% 0.96/1.38 *** allocated 75937 integers for termspace/termends
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 256285 integers for clauses
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 7365
% 0.96/1.38 Kept: 4026
% 0.96/1.38 Inuse: 408
% 0.96/1.38 Deleted: 16
% 0.96/1.38 Deletedinuse: 8
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 113905 integers for termspace/termends
% 0.96/1.38 *** allocated 384427 integers for clauses
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 10494
% 0.96/1.38 Kept: 6099
% 0.96/1.38 Inuse: 548
% 0.96/1.38 Deleted: 16
% 0.96/1.38 Deletedinuse: 8
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 170857 integers for termspace/termends
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 576640 integers for clauses
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 13773
% 0.96/1.38 Kept: 8113
% 0.96/1.38 Inuse: 663
% 0.96/1.38 Deleted: 26
% 0.96/1.38 Deletedinuse: 18
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 16620
% 0.96/1.38 Kept: 10115
% 0.96/1.38 Inuse: 705
% 0.96/1.38 Deleted: 26
% 0.96/1.38 Deletedinuse: 18
% 0.96/1.38
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 256285 integers for termspace/termends
% 0.96/1.38 Resimplifying inuse:
% 0.96/1.38 Done
% 0.96/1.38
% 0.96/1.38 *** allocated 864960 integers for clauses
% 0.96/1.38
% 0.96/1.38 Intermediate Status:
% 0.96/1.38 Generated: 22269
% 0.96/1.38 Kept: 12180
% 0.96/1.38 Inuse: 758
% 0.96/1.38 Deleted: 36
% 1.03/1.38 Deletedinuse: 28
% 1.03/1.38
% 1.03/1.38
% 1.03/1.38 Bliksems!, er is een bewijs:
% 1.03/1.38 % SZS status Theorem
% 1.03/1.38 % SZS output start Refutation
% 1.03/1.38
% 1.03/1.38 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.03/1.38 (218) {G0,W2,D2,L1,V0,M1} I { cyclefreeP( nil ) }.
% 1.03/1.38 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.03/1.38 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.03/1.38 (281) {G1,W3,D2,L1,V0,M1} I;d(279) { ! neq( skol49, nil ) }.
% 1.03/1.38 (282) {G0,W2,D2,L1,V0,M1} I { ! cyclefreeP( skol49 ) }.
% 1.03/1.38 (11555) {G2,W5,D2,L2,V0,M2} R(159,281);r(276) { ! ssList( nil ), skol49 ==>
% 1.03/1.38 nil }.
% 1.03/1.38 (12180) {G3,W3,D2,L1,V0,M1} S(11555);r(161) { skol49 ==> nil }.
% 1.03/1.38 (12181) {G4,W0,D0,L0,V0,M0} P(12180,282);r(218) { }.
% 1.03/1.38
% 1.03/1.38
% 1.03/1.38 % SZS output end Refutation
% 1.03/1.38 found a proof!
% 1.03/1.38
% 1.03/1.38
% 1.03/1.38 Unprocessed initial clauses:
% 1.03/1.38
% 1.03/1.38 (12183) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.03/1.38 , ! X = Y }.
% 1.03/1.38 (12184) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12185) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.03/1.38 (12186) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.03/1.38 (12187) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.03/1.38 (12188) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.03/1.38 , Y ), ssList( skol2( Z, T ) ) }.
% 1.03/1.38 (12189) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.03/1.38 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.03/1.38 (12190) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.03/1.38 (12191) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.03/1.38 ) ) }.
% 1.03/1.38 (12192) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.03/1.38 ( X, Y, Z ) ) ) = X }.
% 1.03/1.38 (12193) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.03/1.38 , alpha1( X, Y, Z ) }.
% 1.03/1.38 (12194) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.03/1.38 skol4( Y ) ) }.
% 1.03/1.38 (12195) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.03/1.38 skol4( X ), nil ) = X }.
% 1.03/1.38 (12196) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.03/1.38 nil ) = X, singletonP( X ) }.
% 1.03/1.38 (12197) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.03/1.38 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.03/1.38 (12198) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.03/1.38 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.03/1.38 (12199) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.03/1.38 (12200) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.03/1.38 , Y ), ssList( skol6( Z, T ) ) }.
% 1.03/1.38 (12201) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.03/1.38 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.03/1.38 (12202) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.03/1.38 (12203) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.03/1.38 , Y ), ssList( skol7( Z, T ) ) }.
% 1.03/1.38 (12204) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.03/1.38 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.03/1.38 (12205) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.03/1.38 (12206) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.03/1.38 ) ) }.
% 1.03/1.38 (12207) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.03/1.38 skol8( X, Y, Z ) ) = X }.
% 1.03/1.38 (12208) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.03/1.38 , alpha2( X, Y, Z ) }.
% 1.03/1.38 (12209) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.03/1.38 Y ), alpha3( X, Y ) }.
% 1.03/1.38 (12210) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.03/1.38 cyclefreeP( X ) }.
% 1.03/1.38 (12211) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.03/1.38 cyclefreeP( X ) }.
% 1.03/1.38 (12212) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12213) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.03/1.38 (12214) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12215) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha28( X, Y, Z, T ) }.
% 1.03/1.38 (12216) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12217) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.03/1.38 alpha21( X, Y, Z ) }.
% 1.03/1.38 (12218) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha35( X, Y, Z, T, U ) }.
% 1.03/1.38 (12219) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12220) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.03/1.38 ), alpha28( X, Y, Z, T ) }.
% 1.03/1.38 (12221) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha41( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12222) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha35( X, Y, Z, T, U ) }.
% 1.03/1.38 (12223) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.03/1.38 (12224) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.03/1.38 (12225) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12226) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.03/1.38 W ) }.
% 1.03/1.38 (12227) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.03/1.38 X ) }.
% 1.03/1.38 (12228) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.03/1.38 (12229) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.03/1.38 (12230) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.03/1.38 ( Y ), alpha4( X, Y ) }.
% 1.03/1.38 (12231) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.03/1.38 totalorderP( X ) }.
% 1.03/1.38 (12232) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.03/1.38 totalorderP( X ) }.
% 1.03/1.38 (12233) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12234) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.03/1.38 (12235) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12236) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha29( X, Y, Z, T ) }.
% 1.03/1.38 (12237) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12238) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.03/1.38 alpha22( X, Y, Z ) }.
% 1.03/1.38 (12239) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha36( X, Y, Z, T, U ) }.
% 1.03/1.38 (12240) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12241) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.03/1.38 ), alpha29( X, Y, Z, T ) }.
% 1.03/1.38 (12242) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha42( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12243) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha36( X, Y, Z, T, U ) }.
% 1.03/1.38 (12244) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.03/1.38 (12245) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.03/1.38 (12246) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12247) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.03/1.38 W ) }.
% 1.03/1.38 (12248) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.03/1.38 }.
% 1.03/1.38 (12249) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.03/1.38 (12250) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.03/1.38 (12251) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.03/1.38 ( Y ), alpha5( X, Y ) }.
% 1.03/1.38 (12252) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.03/1.38 strictorderP( X ) }.
% 1.03/1.38 (12253) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.03/1.38 strictorderP( X ) }.
% 1.03/1.38 (12254) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12255) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.03/1.38 (12256) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12257) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha30( X, Y, Z, T ) }.
% 1.03/1.38 (12258) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12259) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.03/1.38 alpha23( X, Y, Z ) }.
% 1.03/1.38 (12260) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha37( X, Y, Z, T, U ) }.
% 1.03/1.38 (12261) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12262) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.03/1.38 ), alpha30( X, Y, Z, T ) }.
% 1.03/1.38 (12263) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha43( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12264) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha37( X, Y, Z, T, U ) }.
% 1.03/1.38 (12265) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.03/1.38 (12266) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.03/1.38 (12267) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12268) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.03/1.38 W ) }.
% 1.03/1.38 (12269) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.03/1.38 }.
% 1.03/1.38 (12270) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.03/1.38 (12271) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.03/1.38 (12272) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.03/1.38 ssItem( Y ), alpha6( X, Y ) }.
% 1.03/1.38 (12273) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.03/1.38 totalorderedP( X ) }.
% 1.03/1.38 (12274) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.03/1.38 totalorderedP( X ) }.
% 1.03/1.38 (12275) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12276) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.03/1.38 (12277) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12278) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha24( X, Y, Z, T ) }.
% 1.03/1.38 (12279) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12280) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.03/1.38 alpha15( X, Y, Z ) }.
% 1.03/1.38 (12281) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha31( X, Y, Z, T, U ) }.
% 1.03/1.38 (12282) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12283) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.03/1.38 ), alpha24( X, Y, Z, T ) }.
% 1.03/1.38 (12284) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha38( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12285) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha31( X, Y, Z, T, U ) }.
% 1.03/1.38 (12286) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.03/1.38 (12287) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.03/1.38 (12288) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12289) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.03/1.38 }.
% 1.03/1.38 (12290) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.03/1.38 ssItem( Y ), alpha7( X, Y ) }.
% 1.03/1.38 (12291) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.03/1.38 strictorderedP( X ) }.
% 1.03/1.38 (12292) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.03/1.38 strictorderedP( X ) }.
% 1.03/1.38 (12293) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12294) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.03/1.38 (12295) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12296) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha25( X, Y, Z, T ) }.
% 1.03/1.38 (12297) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12298) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.03/1.38 alpha16( X, Y, Z ) }.
% 1.03/1.38 (12299) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha32( X, Y, Z, T, U ) }.
% 1.03/1.38 (12300) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12301) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.03/1.38 ), alpha25( X, Y, Z, T ) }.
% 1.03/1.38 (12302) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha39( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12303) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha32( X, Y, Z, T, U ) }.
% 1.03/1.38 (12304) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.03/1.38 (12305) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.03/1.38 (12306) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12307) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.03/1.38 }.
% 1.03/1.38 (12308) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.03/1.38 ssItem( Y ), alpha8( X, Y ) }.
% 1.03/1.38 (12309) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.03/1.38 duplicatefreeP( X ) }.
% 1.03/1.38 (12310) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.03/1.38 duplicatefreeP( X ) }.
% 1.03/1.38 (12311) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12312) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.03/1.38 (12313) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12314) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha26( X, Y, Z, T ) }.
% 1.03/1.38 (12315) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12316) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.03/1.38 alpha17( X, Y, Z ) }.
% 1.03/1.38 (12317) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha33( X, Y, Z, T, U ) }.
% 1.03/1.38 (12318) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12319) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.03/1.38 ), alpha26( X, Y, Z, T ) }.
% 1.03/1.38 (12320) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.03/1.38 alpha40( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12321) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.03/1.38 alpha33( X, Y, Z, T, U ) }.
% 1.03/1.38 (12322) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.03/1.38 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.03/1.38 (12323) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.03/1.38 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.03/1.38 (12324) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.03/1.38 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12325) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.03/1.38 (12326) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.03/1.38 ( Y ), alpha9( X, Y ) }.
% 1.03/1.38 (12327) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.03/1.38 equalelemsP( X ) }.
% 1.03/1.38 (12328) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.03/1.38 equalelemsP( X ) }.
% 1.03/1.38 (12329) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.03/1.38 , Y, Z ) }.
% 1.03/1.38 (12330) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.03/1.38 (12331) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12332) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.03/1.38 alpha27( X, Y, Z, T ) }.
% 1.03/1.38 (12333) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.03/1.38 Z ) }.
% 1.03/1.38 (12334) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.03/1.38 alpha18( X, Y, Z ) }.
% 1.03/1.38 (12335) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.03/1.38 alpha34( X, Y, Z, T, U ) }.
% 1.03/1.38 (12336) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.03/1.38 X, Y, Z, T ) }.
% 1.03/1.38 (12337) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.03/1.38 ), alpha27( X, Y, Z, T ) }.
% 1.03/1.38 (12338) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.03/1.38 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.03/1.38 (12339) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.03/1.38 alpha34( X, Y, Z, T, U ) }.
% 1.03/1.38 (12340) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.03/1.38 (12341) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.03/1.38 , ! X = Y }.
% 1.03/1.38 (12342) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.03/1.38 , Y ) }.
% 1.03/1.38 (12343) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.03/1.38 Y, X ) ) }.
% 1.03/1.38 (12344) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.03/1.38 (12345) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.03/1.38 = X }.
% 1.03/1.38 (12346) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.03/1.38 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.03/1.38 (12347) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.03/1.38 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.03/1.38 (12348) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.03/1.38 ) }.
% 1.03/1.38 (12349) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.03/1.38 ) }.
% 1.03/1.38 (12350) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.03/1.38 skol43( X ) ) = X }.
% 1.03/1.38 (12351) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.03/1.38 Y, X ) }.
% 1.03/1.38 (12352) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.03/1.38 }.
% 1.03/1.38 (12353) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.03/1.38 X ) ) = Y }.
% 1.03/1.38 (12354) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.03/1.38 }.
% 1.03/1.38 (12355) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.03/1.38 X ) ) = X }.
% 1.03/1.38 (12356) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.03/1.38 , Y ) ) }.
% 1.03/1.38 (12357) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.03/1.38 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.03/1.38 (12358) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.03/1.38 (12359) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.03/1.38 , ! leq( Y, X ), X = Y }.
% 1.03/1.38 (12360) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.03/1.38 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.03/1.38 (12361) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.03/1.38 (12362) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.03/1.38 , leq( Y, X ) }.
% 1.03/1.38 (12363) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.03/1.38 , geq( X, Y ) }.
% 1.03/1.38 (12364) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.03/1.38 , ! lt( Y, X ) }.
% 1.03/1.38 (12365) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.03/1.38 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.03/1.38 (12366) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.03/1.38 , lt( Y, X ) }.
% 1.03/1.38 (12367) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.03/1.38 , gt( X, Y ) }.
% 1.03/1.38 (12368) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.03/1.38 (12369) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.03/1.38 (12370) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.03/1.38 (12371) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.03/1.38 (12372) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.03/1.38 (12373) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.03/1.38 (12374) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.03/1.38 (12375) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.03/1.38 (12376) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.03/1.38 (12377) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.03/1.38 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.03/1.38 (12378) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.03/1.38 (12379) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.03/1.38 (12380) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.03/1.38 (12381) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.03/1.38 , T ) }.
% 1.03/1.38 (12382) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.03/1.38 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.03/1.38 cons( Y, T ) ) }.
% 1.03/1.38 (12383) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.03/1.38 (12384) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.03/1.38 X }.
% 1.03/1.38 (12385) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.03/1.38 ) }.
% 1.03/1.38 (12386) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.03/1.38 (12387) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.03/1.38 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.03/1.38 (12388) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.03/1.38 (12389) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.03/1.38 (12390) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.03/1.38 (12391) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.03/1.38 }.
% 1.03/1.38 (12392) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.03/1.38 }.
% 1.03/1.38 (12393) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.03/1.38 (12394) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.03/1.38 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.03/1.38 (12395) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.03/1.38 (12396) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.03/1.38 }.
% 1.03/1.38 (12397) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.03/1.38 (12398) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.03/1.38 }.
% 1.03/1.38 (12399) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.03/1.38 }.
% 1.03/1.38 (12400) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.03/1.38 }.
% 1.03/1.38 (12401) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.03/1.38 (12402) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.03/1.38 }.
% 1.03/1.38 (12403) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.03/1.38 (12404) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.03/1.38 ) }.
% 1.03/1.38 (12405) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.03/1.38 (12406) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.03/1.38 ) }.
% 1.03/1.38 (12407) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.03/1.38 (12408) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.03/1.38 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.03/1.38 (12409) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.03/1.38 totalorderedP( cons( X, Y ) ) }.
% 1.03/1.38 (12410) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.03/1.38 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.03/1.38 (12411) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.03/1.38 (12412) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.03/1.38 (12413) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.03/1.38 }.
% 1.03/1.38 (12414) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.03/1.38 (12415) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.03/1.38 (12416) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.03/1.38 alpha19( X, Y ) }.
% 1.03/1.38 (12417) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.03/1.38 ) ) }.
% 1.03/1.38 (12418) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.03/1.38 (12419) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.03/1.38 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.03/1.38 (12420) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.03/1.38 strictorderedP( cons( X, Y ) ) }.
% 1.03/1.38 (12421) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.03/1.38 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.03/1.38 (12422) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.03/1.38 (12423) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.03/1.38 (12424) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.03/1.38 }.
% 1.03/1.38 (12425) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.03/1.38 (12426) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.03/1.38 (12427) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.03/1.38 alpha20( X, Y ) }.
% 1.03/1.38 (12428) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.03/1.38 ) ) }.
% 1.03/1.38 (12429) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.03/1.38 (12430) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.03/1.38 }.
% 1.03/1.38 (12431) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.03/1.38 (12432) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.03/1.38 ) }.
% 1.03/1.38 (12433) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.03/1.38 ) }.
% 1.03/1.38 (12434) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.03/1.38 ) }.
% 1.03/1.38 (12435) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.03/1.38 ) }.
% 1.03/1.38 (12436) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.03/1.38 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.03/1.38 (12437) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.03/1.38 X ) ) = X }.
% 1.03/1.38 (12438) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.03/1.38 (12439) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.38 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.03/1.38 (12440) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.03/1.38 = app( cons( Y, nil ), X ) }.
% 1.03/1.39 (12441) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.03/1.39 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.03/1.39 (12442) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.03/1.39 X, Y ), nil = Y }.
% 1.03/1.39 (12443) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.03/1.39 X, Y ), nil = X }.
% 1.03/1.39 (12444) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.03/1.39 nil = X, nil = app( X, Y ) }.
% 1.03/1.39 (12445) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.03/1.39 (12446) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.03/1.39 app( X, Y ) ) = hd( X ) }.
% 1.03/1.39 (12447) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.03/1.39 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.03/1.39 (12448) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.03/1.39 , ! geq( Y, X ), X = Y }.
% 1.03/1.39 (12449) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.03/1.39 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.03/1.39 (12450) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.03/1.39 (12451) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.03/1.39 (12452) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.03/1.39 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.03/1.39 (12453) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.03/1.39 , X = Y, lt( X, Y ) }.
% 1.03/1.39 (12454) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.03/1.39 , ! X = Y }.
% 1.03/1.39 (12455) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.03/1.39 , leq( X, Y ) }.
% 1.03/1.39 (12456) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.03/1.39 ( X, Y ), lt( X, Y ) }.
% 1.03/1.39 (12457) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.03/1.39 , ! gt( Y, X ) }.
% 1.03/1.39 (12458) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.03/1.39 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.03/1.39 (12459) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.03/1.39 (12460) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.03/1.39 (12461) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.03/1.39 (12462) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.03/1.39 (12463) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.03/1.39 (12464) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.03/1.39 (12465) {G0,W3,D2,L1,V0,M1} { ! neq( skol51, nil ) }.
% 1.03/1.39 (12466) {G0,W2,D2,L1,V0,M1} { ! cyclefreeP( skol49 ) }.
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Total Proof:
% 1.03/1.39
% 1.03/1.39 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.03/1.39 = Y, neq( X, Y ) }.
% 1.03/1.39 parent0: (12342) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 1.03/1.39 Y, neq( X, Y ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 X := X
% 1.03/1.39 Y := Y
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 1 ==> 1
% 1.03/1.39 2 ==> 2
% 1.03/1.39 3 ==> 3
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.03/1.39 parent0: (12344) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (218) {G0,W2,D2,L1,V0,M1} I { cyclefreeP( nil ) }.
% 1.03/1.39 parent0: (12401) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.03/1.39 parent0: (12460) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 eqswap: (13498) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.03/1.39 parent0[0]: (12463) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.03/1.39 parent0: (13498) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 paramod: (14140) {G1,W3,D2,L1,V0,M1} { ! neq( skol49, nil ) }.
% 1.03/1.39 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.03/1.39 parent1[0; 2]: (12465) {G0,W3,D2,L1,V0,M1} { ! neq( skol51, nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (281) {G1,W3,D2,L1,V0,M1} I;d(279) { ! neq( skol49, nil ) }.
% 1.03/1.39 parent0: (14140) {G1,W3,D2,L1,V0,M1} { ! neq( skol49, nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ! cyclefreeP( skol49 ) }.
% 1.03/1.39 parent0: (12466) {G0,W2,D2,L1,V0,M1} { ! cyclefreeP( skol49 ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 eqswap: (14489) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 1.03/1.39 , neq( X, Y ) }.
% 1.03/1.39 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.03/1.39 = Y, neq( X, Y ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 X := X
% 1.03/1.39 Y := Y
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 resolution: (14490) {G1,W7,D2,L3,V0,M3} { nil = skol49, ! ssList( skol49 )
% 1.03/1.39 , ! ssList( nil ) }.
% 1.03/1.39 parent0[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279) { ! neq( skol49, nil ) }.
% 1.03/1.39 parent1[3]: (14489) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 1.03/1.39 ( Y ), neq( X, Y ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 X := skol49
% 1.03/1.39 Y := nil
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 resolution: (14491) {G1,W5,D2,L2,V0,M2} { nil = skol49, ! ssList( nil )
% 1.03/1.39 }.
% 1.03/1.39 parent0[1]: (14490) {G1,W7,D2,L3,V0,M3} { nil = skol49, ! ssList( skol49 )
% 1.03/1.39 , ! ssList( nil ) }.
% 1.03/1.39 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 eqswap: (14492) {G1,W5,D2,L2,V0,M2} { skol49 = nil, ! ssList( nil ) }.
% 1.03/1.39 parent0[0]: (14491) {G1,W5,D2,L2,V0,M2} { nil = skol49, ! ssList( nil )
% 1.03/1.39 }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (11555) {G2,W5,D2,L2,V0,M2} R(159,281);r(276) { ! ssList( nil
% 1.03/1.39 ), skol49 ==> nil }.
% 1.03/1.39 parent0: (14492) {G1,W5,D2,L2,V0,M2} { skol49 = nil, ! ssList( nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 1
% 1.03/1.39 1 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 resolution: (14494) {G1,W3,D2,L1,V0,M1} { skol49 ==> nil }.
% 1.03/1.39 parent0[0]: (11555) {G2,W5,D2,L2,V0,M2} R(159,281);r(276) { ! ssList( nil )
% 1.03/1.39 , skol49 ==> nil }.
% 1.03/1.39 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (12180) {G3,W3,D2,L1,V0,M1} S(11555);r(161) { skol49 ==> nil
% 1.03/1.39 }.
% 1.03/1.39 parent0: (14494) {G1,W3,D2,L1,V0,M1} { skol49 ==> nil }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 0 ==> 0
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 paramod: (14497) {G1,W2,D2,L1,V0,M1} { ! cyclefreeP( nil ) }.
% 1.03/1.39 parent0[0]: (12180) {G3,W3,D2,L1,V0,M1} S(11555);r(161) { skol49 ==> nil
% 1.03/1.39 }.
% 1.03/1.39 parent1[0; 2]: (282) {G0,W2,D2,L1,V0,M1} I { ! cyclefreeP( skol49 ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 resolution: (14498) {G1,W0,D0,L0,V0,M0} { }.
% 1.03/1.39 parent0[0]: (14497) {G1,W2,D2,L1,V0,M1} { ! cyclefreeP( nil ) }.
% 1.03/1.39 parent1[0]: (218) {G0,W2,D2,L1,V0,M1} I { cyclefreeP( nil ) }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 substitution1:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 subsumption: (12181) {G4,W0,D0,L0,V0,M0} P(12180,282);r(218) { }.
% 1.03/1.39 parent0: (14498) {G1,W0,D0,L0,V0,M0} { }.
% 1.03/1.39 substitution0:
% 1.03/1.39 end
% 1.03/1.39 permutation0:
% 1.03/1.39 end
% 1.03/1.39
% 1.03/1.39 Proof check complete!
% 1.03/1.39
% 1.03/1.39 Memory use:
% 1.03/1.39
% 1.03/1.39 space for terms: 200094
% 1.03/1.39 space for clauses: 598446
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 clauses generated: 22384
% 1.03/1.39 clauses kept: 12182
% 1.03/1.39 clauses selected: 759
% 1.03/1.39 clauses deleted: 37
% 1.03/1.39 clauses inuse deleted: 28
% 1.03/1.39
% 1.03/1.39 subsentry: 26647
% 1.03/1.39 literals s-matched: 18015
% 1.03/1.39 literals matched: 15702
% 1.03/1.39 full subsumption: 8653
% 1.03/1.39
% 1.03/1.39 checksum: 1098602634
% 1.03/1.39
% 1.03/1.39
% 1.03/1.39 Bliksem ended
%------------------------------------------------------------------------------