TSTP Solution File: SWC049+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:20 EDT 2022
% Result : Theorem 2.54s 2.92s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 20:29:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.21 *** allocated 10000 integers for termspace/termends
% 0.83/1.21 *** allocated 10000 integers for clauses
% 0.83/1.21 *** allocated 10000 integers for justifications
% 0.83/1.21 Bliksem 1.12
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Automatic Strategy Selection
% 0.83/1.21
% 0.83/1.21 *** allocated 15000 integers for termspace/termends
% 0.83/1.21
% 0.83/1.21 Clauses:
% 0.83/1.21
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.83/1.21 { ssItem( skol1 ) }.
% 0.83/1.21 { ssItem( skol47 ) }.
% 0.83/1.21 { ! skol1 = skol47 }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.83/1.21 }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.83/1.21 Y ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.83/1.21 ( X, Y ) }.
% 0.83/1.21 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.83/1.21 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.83/1.21 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.83/1.21 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.83/1.21 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.83/1.21 ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.83/1.21 ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.83/1.21 ( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.83/1.21 }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.83/1.21 = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.83/1.21 ( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.83/1.21 }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.83/1.21 , Y ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.83/1.21 segmentP( X, Y ) }.
% 0.83/1.21 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.83/1.21 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.83/1.21 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.83/1.21 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.83/1.21 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.83/1.21 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.83/1.21 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.83/1.21 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.83/1.21 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, alpha12( Y, Z ) }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.83/1.21 { leq( X, Y ), alpha12( X, Y ) }.
% 0.83/1.21 { leq( Y, X ), alpha12( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.83/1.21 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.83/1.21 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.83/1.21 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.83/1.21 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.83/1.21 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, alpha13( Y, Z ) }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.83/1.21 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.83/1.21 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.83/1.21 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.83/1.21 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.83/1.21 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.83/1.21 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.83/1.21 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, alpha14( Y, Z ) }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.83/1.21 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.83/1.21 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.83/1.21 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.83/1.21 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.83/1.21 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.83/1.21 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.83/1.21 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, leq( Y, Z ) }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.83/1.21 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.83/1.21 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.83/1.21 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.83/1.21 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.83/1.21 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, lt( Y, Z ) }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.83/1.21 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.83/1.21 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.83/1.21 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.83/1.21 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.83/1.21 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.83/1.21 .
% 0.83/1.21 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.83/1.21 , U ) }.
% 0.83/1.21 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.21 ) ) = X, ! Y = Z }.
% 0.83/1.21 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.83/1.21 W ) }.
% 0.83/1.21 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.83/1.21 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.83/1.21 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.83/1.21 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.83/1.21 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.83/1.21 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.83/1.21 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.83/1.21 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.83/1.21 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.83/1.21 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.83/1.21 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.83/1.21 Z }.
% 0.83/1.21 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.83/1.21 { ssList( nil ) }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.83/1.21 ) = cons( T, Y ), Z = T }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.83/1.21 ) = cons( T, Y ), Y = X }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.83/1.21 ( cons( Z, Y ), X ) }.
% 0.83/1.21 { ! ssList( X ), app( nil, X ) = X }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.83/1.21 , leq( X, Z ) }.
% 0.83/1.21 { ! ssItem( X ), leq( X, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.83/1.21 lt( X, Z ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.83/1.21 , memberP( Y, X ), memberP( Z, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.83/1.21 app( Y, Z ), X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.83/1.21 app( Y, Z ), X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.83/1.21 , X = Y, memberP( Z, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.83/1.21 ), X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.83/1.21 cons( Y, Z ), X ) }.
% 0.83/1.21 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.83/1.21 { ! singletonP( nil ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.83/1.21 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.83/1.21 = Y }.
% 0.83/1.21 { ! ssList( X ), frontsegP( X, X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.83/1.21 frontsegP( app( X, Z ), Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.83/1.21 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.83/1.21 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.83/1.21 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.83/1.21 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.83/1.21 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.83/1.21 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.83/1.21 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.83/1.21 Y }.
% 0.83/1.21 { ! ssList( X ), rearsegP( X, X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.83/1.21 ( app( Z, X ), Y ) }.
% 0.83/1.21 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.83/1.21 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.83/1.21 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.83/1.21 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.83/1.21 Y }.
% 0.83/1.21 { ! ssList( X ), segmentP( X, X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.83/1.21 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.83/1.21 { ! ssList( X ), segmentP( X, nil ) }.
% 0.83/1.21 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.83/1.21 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.83/1.21 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.83/1.21 { cyclefreeP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.83/1.21 { totalorderP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.83/1.21 { strictorderP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.83/1.21 { totalorderedP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.83/1.21 alpha10( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.83/1.21 .
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.83/1.21 Y ) ) }.
% 0.83/1.21 { ! alpha10( X, Y ), ! nil = Y }.
% 0.83/1.21 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.83/1.21 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.83/1.21 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.83/1.21 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.83/1.21 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.83/1.21 { strictorderedP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.83/1.21 alpha11( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.83/1.21 .
% 0.83/1.21 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.83/1.21 , Y ) ) }.
% 0.83/1.21 { ! alpha11( X, Y ), ! nil = Y }.
% 0.83/1.21 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.83/1.21 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.83/1.21 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.83/1.21 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.83/1.21 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.83/1.21 { duplicatefreeP( nil ) }.
% 0.83/1.21 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.83/1.21 { equalelemsP( nil ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.83/1.21 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.83/1.21 ( Y ) = tl( X ), Y = X }.
% 0.83/1.21 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.83/1.21 , Z = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.83/1.21 , Z = X }.
% 0.83/1.21 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.83/1.21 ( X, app( Y, Z ) ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.83/1.21 { ! ssList( X ), app( X, nil ) = X }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.83/1.21 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.83/1.21 Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.83/1.21 , geq( X, Z ) }.
% 0.83/1.21 { ! ssItem( X ), geq( X, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! lt( X, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.83/1.21 , lt( X, Z ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.83/1.21 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.83/1.21 gt( X, Z ) }.
% 0.83/1.21 { ssList( skol46 ) }.
% 0.83/1.21 { ssList( skol49 ) }.
% 0.83/1.21 { ssList( skol50 ) }.
% 0.83/1.21 { ssList( skol51 ) }.
% 0.83/1.21 { skol49 = skol51 }.
% 0.83/1.21 { skol46 = skol50 }.
% 0.83/1.21 { ! ssList( X ), ! neq( X, nil ), ! rearsegP( skol49, X ), ! rearsegP(
% 0.83/1.21 skol46, X ) }.
% 0.83/1.21 { nil = skol50, ! nil = skol51 }.
% 0.83/1.21 { ! nil = skol49, ! nil = skol46 }.
% 0.83/1.21 { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.83/1.21 { ! neq( skol51, nil ), rearsegP( skol51, skol50 ) }.
% 0.83/1.21
% 0.83/1.21 *** allocated 15000 integers for clauses
% 0.83/1.21 percentage equality = 0.131051, percentage horn = 0.762238
% 0.83/1.21 This is a problem with some equality
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Options Used:
% 0.83/1.21
% 0.83/1.21 useres = 1
% 0.83/1.21 useparamod = 1
% 0.83/1.21 useeqrefl = 1
% 0.83/1.21 useeqfact = 1
% 0.83/1.21 usefactor = 1
% 0.83/1.21 usesimpsplitting = 0
% 0.83/1.21 usesimpdemod = 5
% 0.83/1.21 usesimpres = 3
% 0.83/1.21
% 0.83/1.21 resimpinuse = 1000
% 0.83/1.21 resimpclauses = 20000
% 0.83/1.21 substype = eqrewr
% 0.83/1.21 backwardsubs = 1
% 0.83/1.21 selectoldest = 5
% 0.83/1.21
% 0.83/1.21 litorderings [0] = split
% 0.83/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.21
% 0.83/1.21 termordering = kbo
% 0.83/1.21
% 0.83/1.21 litapriori = 0
% 0.83/1.21 termapriori = 1
% 0.83/1.21 litaposteriori = 0
% 0.83/1.21 termaposteriori = 0
% 0.83/1.21 demodaposteriori = 0
% 0.83/1.21 ordereqreflfact = 0
% 0.83/1.21
% 0.83/1.21 litselect = negord
% 0.83/1.21
% 0.83/1.21 maxweight = 15
% 0.83/1.21 maxdepth = 30000
% 0.83/1.21 maxlength = 115
% 0.83/1.21 maxnrvars = 195
% 0.83/1.21 excuselevel = 1
% 0.83/1.21 increasemaxweight = 1
% 0.83/1.21
% 0.83/1.21 maxselected = 10000000
% 0.83/1.21 maxnrclauses = 10000000
% 0.83/1.21
% 0.83/1.21 showgenerated = 0
% 0.83/1.21 showkept = 0
% 0.83/1.21 showselected = 0
% 0.83/1.21 showdeleted = 0
% 0.83/1.21 showresimp = 1
% 0.83/1.21 showstatus = 2000
% 0.83/1.21
% 0.83/1.21 prologoutput = 0
% 0.83/1.21 nrgoals = 5000000
% 0.83/1.21 totalproof = 1
% 0.83/1.21
% 0.83/1.21 Symbols occurring in the translation:
% 0.83/1.21
% 0.83/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.21 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.83/1.21 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.83/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.21 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.83/1.21 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.83/1.21 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.21 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.83/1.21 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.83/1.21 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.83/1.21 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.83/1.21 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.83/1.21 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.71/2.07 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.71/2.07 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.71/2.07 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.71/2.07 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.71/2.07 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.71/2.07 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.71/2.07 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.71/2.07 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.71/2.07 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.71/2.07 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.71/2.07 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.71/2.07 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.71/2.07 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.71/2.07 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.71/2.07 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.71/2.07 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.71/2.07 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.71/2.07 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.71/2.07 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.71/2.07 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.71/2.07 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.71/2.07 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.71/2.07 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.71/2.07 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.71/2.07 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.71/2.07 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.71/2.07 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.71/2.07 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.71/2.07 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.71/2.07 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.71/2.07 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.71/2.07 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.71/2.07 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.71/2.07 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.71/2.07 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.71/2.07 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.71/2.07 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.71/2.07 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.71/2.07 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.71/2.07 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.71/2.07 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.71/2.07 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.71/2.07 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.71/2.07 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.71/2.07 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.71/2.07 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.71/2.07 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.71/2.07 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.71/2.07 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.71/2.07 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.71/2.07 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.71/2.07 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.71/2.07 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.71/2.07 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.71/2.07 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.71/2.07 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.71/2.07 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.71/2.07 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.71/2.07 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.71/2.07 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.71/2.07 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.71/2.07 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.71/2.07 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.71/2.07 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.71/2.07 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.71/2.07 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.71/2.07 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.71/2.07 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.71/2.07 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.71/2.07 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.71/2.07 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.71/2.07 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.71/2.07 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.71/2.07 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.71/2.07 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.71/2.07 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.71/2.07 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.71/2.07 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.71/2.07 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.71/2.07 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 2.54/2.92 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 2.54/2.92 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.54/2.92 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 2.54/2.92 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 2.54/2.92 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 2.54/2.92 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.54/2.92 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.54/2.92 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.54/2.92 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 2.54/2.92 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.54/2.92 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.54/2.92 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.54/2.92 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.54/2.92 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.54/2.92 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.54/2.92 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.54/2.92 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.54/2.92 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 2.54/2.92 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.54/2.92 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.54/2.92 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.54/2.92 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.54/2.92 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.54/2.92 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.54/2.92 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.54/2.92 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.54/2.92 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.54/2.92 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.54/2.92 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Starting Search:
% 2.54/2.92
% 2.54/2.92 *** allocated 22500 integers for clauses
% 2.54/2.92 *** allocated 33750 integers for clauses
% 2.54/2.92 *** allocated 50625 integers for clauses
% 2.54/2.92 *** allocated 22500 integers for termspace/termends
% 2.54/2.92 *** allocated 75937 integers for clauses
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 33750 integers for termspace/termends
% 2.54/2.92 *** allocated 113905 integers for clauses
% 2.54/2.92 *** allocated 50625 integers for termspace/termends
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 3745
% 2.54/2.92 Kept: 2004
% 2.54/2.92 Inuse: 208
% 2.54/2.92 Deleted: 7
% 2.54/2.92 Deletedinuse: 1
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 170857 integers for clauses
% 2.54/2.92 *** allocated 75937 integers for termspace/termends
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 256285 integers for clauses
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 6771
% 2.54/2.92 Kept: 4010
% 2.54/2.92 Inuse: 377
% 2.54/2.92 Deleted: 10
% 2.54/2.92 Deletedinuse: 4
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 113905 integers for termspace/termends
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 384427 integers for clauses
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 10314
% 2.54/2.92 Kept: 6035
% 2.54/2.92 Inuse: 490
% 2.54/2.92 Deleted: 20
% 2.54/2.92 Deletedinuse: 14
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 170857 integers for termspace/termends
% 2.54/2.92 *** allocated 576640 integers for clauses
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 13448
% 2.54/2.92 Kept: 8090
% 2.54/2.92 Inuse: 594
% 2.54/2.92 Deleted: 27
% 2.54/2.92 Deletedinuse: 19
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 17275
% 2.54/2.92 Kept: 10583
% 2.54/2.92 Inuse: 671
% 2.54/2.92 Deleted: 36
% 2.54/2.92 Deletedinuse: 26
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 256285 integers for termspace/termends
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 864960 integers for clauses
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 21729
% 2.54/2.92 Kept: 12631
% 2.54/2.92 Inuse: 741
% 2.54/2.92 Deleted: 36
% 2.54/2.92 Deletedinuse: 26
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 29450
% 2.54/2.92 Kept: 14631
% 2.54/2.92 Inuse: 775
% 2.54/2.92 Deleted: 53
% 2.54/2.92 Deletedinuse: 42
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 384427 integers for termspace/termends
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 36590
% 2.54/2.92 Kept: 16646
% 2.54/2.92 Inuse: 833
% 2.54/2.92 Deleted: 77
% 2.54/2.92 Deletedinuse: 64
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 1297440 integers for clauses
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 45172
% 2.54/2.92 Kept: 18759
% 2.54/2.92 Inuse: 894
% 2.54/2.92 Deleted: 95
% 2.54/2.92 Deletedinuse: 68
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying clauses:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 54477
% 2.54/2.92 Kept: 20772
% 2.54/2.92 Inuse: 924
% 2.54/2.92 Deleted: 1903
% 2.54/2.92 Deletedinuse: 69
% 2.54/2.92
% 2.54/2.92 *** allocated 576640 integers for termspace/termends
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 64402
% 2.54/2.92 Kept: 22882
% 2.54/2.92 Inuse: 957
% 2.54/2.92 Deleted: 1908
% 2.54/2.92 Deletedinuse: 69
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 72426
% 2.54/2.92 Kept: 25187
% 2.54/2.92 Inuse: 1001
% 2.54/2.92 Deleted: 1909
% 2.54/2.92 Deletedinuse: 69
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 79708
% 2.54/2.92 Kept: 27295
% 2.54/2.92 Inuse: 1042
% 2.54/2.92 Deleted: 1911
% 2.54/2.92 Deletedinuse: 71
% 2.54/2.92
% 2.54/2.92 *** allocated 1946160 integers for clauses
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 90376
% 2.54/2.92 Kept: 29495
% 2.54/2.92 Inuse: 1066
% 2.54/2.92 Deleted: 1911
% 2.54/2.92 Deletedinuse: 71
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 *** allocated 864960 integers for termspace/termends
% 2.54/2.92
% 2.54/2.92 Intermediate Status:
% 2.54/2.92 Generated: 102931
% 2.54/2.92 Kept: 32089
% 2.54/2.92 Inuse: 1102
% 2.54/2.92 Deleted: 1918
% 2.54/2.92 Deletedinuse: 74
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92 Resimplifying inuse:
% 2.54/2.92 Done
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Bliksems!, er is een bewijs:
% 2.54/2.92 % SZS status Theorem
% 2.54/2.92 % SZS output start Refutation
% 2.54/2.92
% 2.54/2.92 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.54/2.92 (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X ) }.
% 2.54/2.92 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.54/2.92 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.54/2.92 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.54/2.92 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.54/2.92 (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! rearsegP(
% 2.54/2.92 skol49, X ), ! rearsegP( skol46, X ) }.
% 2.54/2.92 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, ! skol49 ==>
% 2.54/2.92 nil }.
% 2.54/2.92 (283) {G2,W3,D2,L1,V0,M1} I;d(282);q { ! skol49 ==> nil }.
% 2.54/2.92 (284) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { ! neq( skol49, nil ), neq(
% 2.54/2.92 skol46, nil ) }.
% 2.54/2.92 (285) {G1,W6,D2,L2,V0,M2} I;d(279);d(279);d(280) { ! neq( skol49, nil ),
% 2.54/2.92 rearsegP( skol49, skol46 ) }.
% 2.54/2.92 (520) {G1,W3,D2,L1,V0,M1} R(205,275) { rearsegP( skol46, skol46 ) }.
% 2.54/2.92 (13375) {G3,W8,D2,L3,V1,M3} P(159,283);r(276) { ! X = nil, ! ssList( X ),
% 2.54/2.92 neq( skol49, X ) }.
% 2.54/2.92 (13408) {G4,W3,D2,L1,V0,M1} Q(13375);r(161) { neq( skol49, nil ) }.
% 2.54/2.92 (13458) {G5,W3,D2,L1,V0,M1} R(13408,284) { neq( skol46, nil ) }.
% 2.54/2.92 (13459) {G5,W3,D2,L1,V0,M1} R(13408,285) { rearsegP( skol49, skol46 ) }.
% 2.54/2.92 (33083) {G6,W6,D2,L2,V0,M2} R(281,13459);r(275) { ! neq( skol46, nil ), !
% 2.54/2.92 rearsegP( skol46, skol46 ) }.
% 2.54/2.92 (33246) {G7,W0,D0,L0,V0,M0} S(33083);r(13458);r(520) { }.
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 % SZS output end Refutation
% 2.54/2.92 found a proof!
% 2.54/2.92
% 2.54/2.92
% 2.54/2.92 Unprocessed initial clauses:
% 2.54/2.92
% 2.54/2.92 (33248) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.54/2.92 , ! X = Y }.
% 2.54/2.92 (33249) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33250) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.54/2.92 (33251) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.54/2.92 (33252) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.54/2.92 (33253) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.54/2.92 , Y ), ssList( skol2( Z, T ) ) }.
% 2.54/2.92 (33254) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.54/2.92 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.54/2.92 (33255) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.92 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.54/2.92 (33256) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.54/2.92 ) ) }.
% 2.54/2.92 (33257) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.54/2.92 ( X, Y, Z ) ) ) = X }.
% 2.54/2.92 (33258) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.54/2.92 , alpha1( X, Y, Z ) }.
% 2.54/2.92 (33259) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.54/2.92 skol4( Y ) ) }.
% 2.54/2.92 (33260) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.54/2.92 skol4( X ), nil ) = X }.
% 2.54/2.92 (33261) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.54/2.92 nil ) = X, singletonP( X ) }.
% 2.54/2.92 (33262) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.92 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.54/2.92 (33263) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.92 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.54/2.92 (33264) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.92 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.54/2.92 (33265) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.92 , Y ), ssList( skol6( Z, T ) ) }.
% 2.54/2.92 (33266) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.92 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.54/2.92 (33267) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.92 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.54/2.92 (33268) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.92 , Y ), ssList( skol7( Z, T ) ) }.
% 2.54/2.92 (33269) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.92 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.54/2.92 (33270) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.92 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.54/2.92 (33271) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.54/2.92 ) ) }.
% 2.54/2.92 (33272) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.54/2.92 skol8( X, Y, Z ) ) = X }.
% 2.54/2.92 (33273) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.54/2.92 , alpha2( X, Y, Z ) }.
% 2.54/2.92 (33274) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.54/2.92 Y ), alpha3( X, Y ) }.
% 2.54/2.92 (33275) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.54/2.92 cyclefreeP( X ) }.
% 2.54/2.92 (33276) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.54/2.92 cyclefreeP( X ) }.
% 2.54/2.92 (33277) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33278) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.54/2.92 (33279) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33280) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha28( X, Y, Z, T ) }.
% 2.54/2.92 (33281) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33282) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.54/2.92 alpha21( X, Y, Z ) }.
% 2.54/2.92 (33283) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha35( X, Y, Z, T, U ) }.
% 2.54/2.92 (33284) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33285) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.54/2.92 ), alpha28( X, Y, Z, T ) }.
% 2.54/2.92 (33286) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha41( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33287) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha35( X, Y, Z, T, U ) }.
% 2.54/2.92 (33288) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.54/2.92 (33289) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.54/2.92 (33290) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33291) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.54/2.92 W ) }.
% 2.54/2.92 (33292) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.54/2.92 X ) }.
% 2.54/2.92 (33293) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.54/2.92 (33294) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.54/2.92 (33295) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.54/2.92 ( Y ), alpha4( X, Y ) }.
% 2.54/2.92 (33296) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.54/2.92 totalorderP( X ) }.
% 2.54/2.92 (33297) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.54/2.92 totalorderP( X ) }.
% 2.54/2.92 (33298) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33299) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.54/2.92 (33300) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33301) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha29( X, Y, Z, T ) }.
% 2.54/2.92 (33302) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33303) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.54/2.92 alpha22( X, Y, Z ) }.
% 2.54/2.92 (33304) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha36( X, Y, Z, T, U ) }.
% 2.54/2.92 (33305) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33306) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.54/2.92 ), alpha29( X, Y, Z, T ) }.
% 2.54/2.92 (33307) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha42( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33308) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha36( X, Y, Z, T, U ) }.
% 2.54/2.92 (33309) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.54/2.92 (33310) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.54/2.92 (33311) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33312) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.54/2.92 W ) }.
% 2.54/2.92 (33313) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.54/2.92 }.
% 2.54/2.92 (33314) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.54/2.92 (33315) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.54/2.92 (33316) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.54/2.92 ( Y ), alpha5( X, Y ) }.
% 2.54/2.92 (33317) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.54/2.92 strictorderP( X ) }.
% 2.54/2.92 (33318) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.54/2.92 strictorderP( X ) }.
% 2.54/2.92 (33319) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33320) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.54/2.92 (33321) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33322) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha30( X, Y, Z, T ) }.
% 2.54/2.92 (33323) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33324) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.54/2.92 alpha23( X, Y, Z ) }.
% 2.54/2.92 (33325) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha37( X, Y, Z, T, U ) }.
% 2.54/2.92 (33326) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33327) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.54/2.92 ), alpha30( X, Y, Z, T ) }.
% 2.54/2.92 (33328) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha43( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33329) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha37( X, Y, Z, T, U ) }.
% 2.54/2.92 (33330) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.54/2.92 (33331) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.54/2.92 (33332) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33333) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.54/2.92 W ) }.
% 2.54/2.92 (33334) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.54/2.92 }.
% 2.54/2.92 (33335) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.54/2.92 (33336) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.54/2.92 (33337) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.54/2.92 ssItem( Y ), alpha6( X, Y ) }.
% 2.54/2.92 (33338) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.54/2.92 totalorderedP( X ) }.
% 2.54/2.92 (33339) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.54/2.92 totalorderedP( X ) }.
% 2.54/2.92 (33340) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33341) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.54/2.92 (33342) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33343) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha24( X, Y, Z, T ) }.
% 2.54/2.92 (33344) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33345) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.54/2.92 alpha15( X, Y, Z ) }.
% 2.54/2.92 (33346) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha31( X, Y, Z, T, U ) }.
% 2.54/2.92 (33347) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33348) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.54/2.92 ), alpha24( X, Y, Z, T ) }.
% 2.54/2.92 (33349) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha38( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33350) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha31( X, Y, Z, T, U ) }.
% 2.54/2.92 (33351) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.54/2.92 (33352) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.54/2.92 (33353) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33354) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.54/2.92 }.
% 2.54/2.92 (33355) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.54/2.92 ssItem( Y ), alpha7( X, Y ) }.
% 2.54/2.92 (33356) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.54/2.92 strictorderedP( X ) }.
% 2.54/2.92 (33357) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.54/2.92 strictorderedP( X ) }.
% 2.54/2.92 (33358) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33359) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.54/2.92 (33360) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33361) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha25( X, Y, Z, T ) }.
% 2.54/2.92 (33362) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33363) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.54/2.92 alpha16( X, Y, Z ) }.
% 2.54/2.92 (33364) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha32( X, Y, Z, T, U ) }.
% 2.54/2.92 (33365) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33366) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.54/2.92 ), alpha25( X, Y, Z, T ) }.
% 2.54/2.92 (33367) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha39( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33368) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha32( X, Y, Z, T, U ) }.
% 2.54/2.92 (33369) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.54/2.92 (33370) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.54/2.92 (33371) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33372) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.54/2.92 }.
% 2.54/2.92 (33373) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.54/2.92 ssItem( Y ), alpha8( X, Y ) }.
% 2.54/2.92 (33374) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.54/2.92 duplicatefreeP( X ) }.
% 2.54/2.92 (33375) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.54/2.92 duplicatefreeP( X ) }.
% 2.54/2.92 (33376) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33377) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.54/2.92 (33378) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33379) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha26( X, Y, Z, T ) }.
% 2.54/2.92 (33380) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33381) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.54/2.92 alpha17( X, Y, Z ) }.
% 2.54/2.92 (33382) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.92 alpha33( X, Y, Z, T, U ) }.
% 2.54/2.92 (33383) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.54/2.92 X, Y, Z, T ) }.
% 2.54/2.92 (33384) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.54/2.92 ), alpha26( X, Y, Z, T ) }.
% 2.54/2.92 (33385) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.92 alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33386) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.54/2.92 alpha33( X, Y, Z, T, U ) }.
% 2.54/2.92 (33387) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.54/2.92 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.54/2.92 (33388) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.92 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.54/2.92 (33389) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.92 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33390) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.92 (33391) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.54/2.92 ( Y ), alpha9( X, Y ) }.
% 2.54/2.92 (33392) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.54/2.92 equalelemsP( X ) }.
% 2.54/2.92 (33393) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.54/2.92 equalelemsP( X ) }.
% 2.54/2.92 (33394) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.54/2.92 , Y, Z ) }.
% 2.54/2.92 (33395) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.54/2.92 (33396) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.54/2.92 , Y ) }.
% 2.54/2.92 (33397) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.54/2.92 alpha27( X, Y, Z, T ) }.
% 2.54/2.92 (33398) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.54/2.92 Z ) }.
% 2.54/2.92 (33399) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.54/2.92 alpha18( X, Y, Z ) }.
% 2.54/2.92 (33400) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.93 alpha34( X, Y, Z, T, U ) }.
% 2.54/2.93 (33401) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.54/2.93 X, Y, Z, T ) }.
% 2.54/2.93 (33402) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.54/2.93 ), alpha27( X, Y, Z, T ) }.
% 2.54/2.93 (33403) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.54/2.93 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.54/2.93 (33404) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.54/2.93 alpha34( X, Y, Z, T, U ) }.
% 2.54/2.93 (33405) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.54/2.93 (33406) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.54/2.93 , ! X = Y }.
% 2.54/2.93 (33407) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.54/2.93 , Y ) }.
% 2.54/2.93 (33408) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.54/2.93 Y, X ) ) }.
% 2.54/2.93 (33409) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.54/2.93 (33410) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.54/2.93 = X }.
% 2.54/2.93 (33411) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.93 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.54/2.93 (33412) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.93 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.54/2.93 (33413) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.54/2.93 ) }.
% 2.54/2.93 (33414) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.54/2.93 ) }.
% 2.54/2.93 (33415) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.54/2.93 skol43( X ) ) = X }.
% 2.54/2.93 (33416) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.54/2.93 Y, X ) }.
% 2.54/2.93 (33417) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.54/2.93 }.
% 2.54/2.93 (33418) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.54/2.93 X ) ) = Y }.
% 2.54/2.93 (33419) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.54/2.93 }.
% 2.54/2.93 (33420) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.54/2.93 X ) ) = X }.
% 2.54/2.93 (33421) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.54/2.93 , Y ) ) }.
% 2.54/2.93 (33422) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.93 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.54/2.93 (33423) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.54/2.93 (33424) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.54/2.93 , ! leq( Y, X ), X = Y }.
% 2.54/2.93 (33425) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.93 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.54/2.93 (33426) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.54/2.93 (33427) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.54/2.93 , leq( Y, X ) }.
% 2.54/2.93 (33428) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.54/2.93 , geq( X, Y ) }.
% 2.54/2.93 (33429) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.93 , ! lt( Y, X ) }.
% 2.54/2.93 (33430) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.93 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.54/2.93 (33431) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.54/2.93 , lt( Y, X ) }.
% 2.54/2.93 (33432) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.54/2.93 , gt( X, Y ) }.
% 2.54/2.93 (33433) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.54/2.93 (33434) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.54/2.93 (33435) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.54/2.93 (33436) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.54/2.93 (33437) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.54/2.93 (33438) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.54/2.93 (33439) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.54/2.93 (33440) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.54/2.93 (33441) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.54/2.93 (33442) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.93 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.54/2.93 (33443) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.54/2.93 (33444) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.54/2.93 (33445) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.54/2.93 (33446) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.54/2.93 , T ) }.
% 2.54/2.93 (33447) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.93 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.54/2.93 cons( Y, T ) ) }.
% 2.54/2.93 (33448) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.54/2.93 (33449) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.54/2.93 X }.
% 2.54/2.93 (33450) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.54/2.93 ) }.
% 2.54/2.93 (33451) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.54/2.93 (33452) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.93 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.54/2.93 (33453) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.54/2.93 (33454) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.54/2.93 (33455) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.54/2.93 (33456) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.54/2.93 }.
% 2.54/2.93 (33457) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.54/2.93 }.
% 2.54/2.93 (33458) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.54/2.93 (33459) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.93 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.54/2.93 (33460) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.54/2.93 (33461) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.54/2.93 }.
% 2.54/2.93 (33462) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.54/2.93 (33463) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.54/2.93 }.
% 2.54/2.93 (33464) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.54/2.93 }.
% 2.54/2.93 (33465) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.54/2.93 }.
% 2.54/2.93 (33466) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.54/2.93 (33467) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.54/2.93 }.
% 2.54/2.93 (33468) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.54/2.93 (33469) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.54/2.93 ) }.
% 2.54/2.93 (33470) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.54/2.93 (33471) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.54/2.93 ) }.
% 2.54/2.93 (33472) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.54/2.93 (33473) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.54/2.93 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.54/2.93 (33474) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.54/2.93 totalorderedP( cons( X, Y ) ) }.
% 2.54/2.93 (33475) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.54/2.93 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.54/2.93 (33476) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.54/2.93 (33477) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.54/2.93 (33478) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.54/2.93 }.
% 2.54/2.93 (33479) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.54/2.93 (33480) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.54/2.93 (33481) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.54/2.93 alpha19( X, Y ) }.
% 2.54/2.93 (33482) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.54/2.93 ) ) }.
% 2.54/2.93 (33483) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.54/2.93 (33484) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.54/2.93 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.54/2.93 (33485) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.54/2.93 strictorderedP( cons( X, Y ) ) }.
% 2.54/2.93 (33486) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.54/2.93 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.54/2.93 (33487) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.54/2.93 (33488) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.54/2.93 (33489) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.54/2.93 }.
% 2.54/2.93 (33490) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.54/2.93 (33491) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.54/2.93 (33492) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.54/2.93 alpha20( X, Y ) }.
% 2.54/2.93 (33493) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.54/2.93 ) ) }.
% 2.54/2.93 (33494) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.54/2.93 (33495) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.54/2.93 }.
% 2.54/2.93 (33496) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.54/2.93 (33497) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.54/2.93 ) }.
% 2.54/2.93 (33498) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.54/2.93 ) }.
% 2.54/2.93 (33499) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.54/2.93 ) }.
% 2.54/2.93 (33500) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.54/2.93 ) }.
% 2.54/2.93 (33501) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.54/2.93 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.54/2.93 (33502) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.54/2.93 X ) ) = X }.
% 2.54/2.93 (33503) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.54/2.93 (33504) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.54/2.93 (33505) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.54/2.93 = app( cons( Y, nil ), X ) }.
% 2.54/2.93 (33506) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.93 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.54/2.93 (33507) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.54/2.93 X, Y ), nil = Y }.
% 2.54/2.93 (33508) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.54/2.93 X, Y ), nil = X }.
% 2.54/2.93 (33509) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.54/2.93 nil = X, nil = app( X, Y ) }.
% 2.54/2.93 (33510) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.54/2.93 (33511) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.54/2.93 app( X, Y ) ) = hd( X ) }.
% 2.54/2.93 (33512) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.54/2.93 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.54/2.93 (33513) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.54/2.93 , ! geq( Y, X ), X = Y }.
% 2.54/2.93 (33514) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.93 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.54/2.93 (33515) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.54/2.93 (33516) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.54/2.93 (33517) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.93 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.54/2.93 (33518) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.54/2.94 , X = Y, lt( X, Y ) }.
% 2.54/2.94 (33519) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.94 , ! X = Y }.
% 2.54/2.94 (33520) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.94 , leq( X, Y ) }.
% 2.54/2.94 (33521) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.54/2.94 ( X, Y ), lt( X, Y ) }.
% 2.54/2.94 (33522) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.54/2.94 , ! gt( Y, X ) }.
% 2.54/2.94 (33523) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.94 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.54/2.94 (33524) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.54/2.94 (33525) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.54/2.94 (33526) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.54/2.94 (33527) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.54/2.94 (33528) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.54/2.94 (33529) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.54/2.94 (33530) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! rearsegP
% 2.54/2.94 ( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.54/2.94 (33531) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 2.54/2.94 (33532) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 2.54/2.94 (33533) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 2.54/2.94 (33534) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), rearsegP( skol51,
% 2.54/2.94 skol50 ) }.
% 2.54/2.94
% 2.54/2.94
% 2.54/2.94 Total Proof:
% 2.54/2.94
% 2.54/2.94 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.54/2.94 = Y, neq( X, Y ) }.
% 2.54/2.94 parent0: (33407) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.54/2.94 Y, neq( X, Y ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 X := X
% 2.54/2.94 Y := Y
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 1 ==> 1
% 2.54/2.94 2 ==> 2
% 2.54/2.94 3 ==> 3
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.54/2.94 parent0: (33409) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 2.54/2.94 }.
% 2.54/2.94 parent0: (33453) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 X := X
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 1 ==> 1
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.54/2.94 parent0: (33524) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.54/2.94 parent0: (33525) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 eqswap: (34881) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.54/2.94 parent0[0]: (33528) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.54/2.94 parent0: (34881) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 eqswap: (35229) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.54/2.94 parent0[0]: (33529) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.54/2.94 parent0: (35229) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 subsumption: (281) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 2.54/2.94 , ! rearsegP( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.54/2.94 parent0: (33530) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 2.54/2.94 rearsegP( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.54/2.94 substitution0:
% 2.54/2.94 X := X
% 2.54/2.94 end
% 2.54/2.94 permutation0:
% 2.54/2.94 0 ==> 0
% 2.54/2.94 1 ==> 1
% 2.54/2.94 2 ==> 2
% 2.54/2.94 3 ==> 3
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 paramod: (36507) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51 }.
% 2.54/2.94 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.54/2.94 parent1[0; 2]: (33531) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51
% 2.54/2.94 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 substitution1:
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 paramod: (36508) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.54/2.94 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.54/2.94 parent1[1; 3]: (36507) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51
% 2.54/2.94 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94 substitution1:
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 eqswap: (36510) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.54/2.94 parent0[1]: (36508) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.54/2.94 substitution0:
% 2.54/2.94 end
% 2.54/2.94
% 2.54/2.94 eqswap: (36511) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 2.54/2.94 parent0[1]: (36510) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.54/2.94 substitution0:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 5.70/6.09 skol49 ==> nil }.
% 5.70/6.09 parent0: (36511) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 permutation0:
% 5.70/6.09 0 ==> 1
% 5.70/6.09 1 ==> 0
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 eqswap: (37731) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 5.70/6.09 parent0[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 5.70/6.09 skol49 ==> nil }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (37736) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol49, !
% 5.70/6.09 nil = skol49 }.
% 5.70/6.09 parent0[1]: (37731) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil
% 5.70/6.09 }.
% 5.70/6.09 parent1[1; 3]: (33532) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil =
% 5.70/6.09 skol46 }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 factor: (37737) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol49 }.
% 5.70/6.09 parent0[1, 2]: (37736) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol49
% 5.70/6.09 , ! nil = skol49 }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 eqrefl: (37738) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 5.70/6.09 parent0[0]: (37737) {G1,W6,D2,L2,V0,M2} { ! nil = nil, ! nil ==> skol49
% 5.70/6.09 }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 eqswap: (37739) {G0,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 5.70/6.09 parent0[0]: (37738) {G0,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 subsumption: (283) {G2,W3,D2,L1,V0,M1} I;d(282);q { ! skol49 ==> nil }.
% 5.70/6.09 parent0: (37739) {G0,W3,D2,L1,V0,M1} { ! skol49 ==> nil }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 permutation0:
% 5.70/6.09 0 ==> 0
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (38696) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq( skol50,
% 5.70/6.09 nil ) }.
% 5.70/6.09 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 5.70/6.09 parent1[0; 2]: (33533) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq(
% 5.70/6.09 skol50, nil ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (38697) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49,
% 5.70/6.09 nil ) }.
% 5.70/6.09 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 5.70/6.09 parent1[1; 1]: (38696) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq(
% 5.70/6.09 skol50, nil ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 subsumption: (284) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { ! neq( skol49, nil
% 5.70/6.09 ), neq( skol46, nil ) }.
% 5.70/6.09 parent0: (38697) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49,
% 5.70/6.09 nil ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 permutation0:
% 5.70/6.09 0 ==> 1
% 5.70/6.09 1 ==> 0
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (39929) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ), ! neq(
% 5.70/6.09 skol51, nil ) }.
% 5.70/6.09 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 5.70/6.09 parent1[1; 1]: (33534) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ),
% 5.70/6.09 rearsegP( skol51, skol50 ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (39931) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), rearsegP(
% 5.70/6.09 skol49, skol50 ) }.
% 5.70/6.09 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 5.70/6.09 parent1[1; 2]: (39929) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ), !
% 5.70/6.09 neq( skol51, nil ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 paramod: (39932) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), ! neq(
% 5.70/6.09 skol49, nil ) }.
% 5.70/6.09 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 5.70/6.09 parent1[1; 2]: (39931) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 5.70/6.09 rearsegP( skol49, skol50 ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 subsumption: (285) {G1,W6,D2,L2,V0,M2} I;d(279);d(279);d(280) { ! neq(
% 5.70/6.09 skol49, nil ), rearsegP( skol49, skol46 ) }.
% 5.70/6.09 parent0: (39932) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), ! neq(
% 5.70/6.09 skol49, nil ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 permutation0:
% 5.70/6.09 0 ==> 1
% 5.70/6.09 1 ==> 0
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 resolution: (39933) {G1,W3,D2,L1,V0,M1} { rearsegP( skol46, skol46 ) }.
% 5.70/6.09 parent0[0]: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 5.70/6.09 }.
% 5.70/6.09 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 X := skol46
% 5.70/6.09 end
% 5.70/6.09 substitution1:
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 subsumption: (520) {G1,W3,D2,L1,V0,M1} R(205,275) { rearsegP( skol46,
% 5.70/6.09 skol46 ) }.
% 5.70/6.09 parent0: (39933) {G1,W3,D2,L1,V0,M1} { rearsegP( skol46, skol46 ) }.
% 5.70/6.09 substitution0:
% 5.70/6.09 end
% 5.70/6.09 permutation0:
% 5.70/6.09 0 ==> 0
% 5.70/6.09 end
% 5.70/6.09
% 5.70/6.09 *** allocated 15000 integers for justifications
% 5.70/6.09 *** allocated 22500 integers for justifications
% 5.70/6.09 *** allocated 33750 integers for justifications
% 5.70/6.09 *** allocated 50625 integers for justifications
% 5.70/6.09 *** allocated 75937 integers for justificatiCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------