TSTP Solution File: SWC051+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC051+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 19:33:21 EDT 2022
% Result : Theorem 2.46s 2.87s
% Output : Refutation 2.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC051+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 11 23:44:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.74/1.13 { ssItem( skol1 ) }.
% 0.74/1.13 { ssItem( skol47 ) }.
% 0.74/1.13 { ! skol1 = skol47 }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.74/1.13 Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.74/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.74/1.13 ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.74/1.13 ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.74/1.13 = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.74/1.13 ( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.74/1.13 }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.74/1.13 , Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.74/1.13 segmentP( X, Y ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.74/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.74/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.74/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.74/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.74/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.74/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.74/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.74/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.74/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.74/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.74/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.74/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.74/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.74/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.74/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.74/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.74/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.74/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.74/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.74/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.74/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.74/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, leq( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.74/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.74/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.74/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.74/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, lt( Y, Z ) }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.74/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.74/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.74/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.74/1.13 .
% 0.74/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.74/1.13 , U ) }.
% 0.74/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.74/1.13 ) ) = X, ! Y = Z }.
% 0.74/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.74/1.13 W ) }.
% 0.74/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.74/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.74/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.74/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.74/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.74/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.74/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.74/1.13 Z }.
% 0.74/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.74/1.13 { ssList( nil ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.74/1.13 ) = cons( T, Y ), Z = T }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.74/1.13 ) = cons( T, Y ), Y = X }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.74/1.13 ( cons( Z, Y ), X ) }.
% 0.74/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.74/1.13 , leq( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.74/1.13 lt( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.74/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.74/1.13 app( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.74/1.13 app( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.74/1.13 , X = Y, memberP( Z, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.74/1.13 ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.74/1.13 cons( Y, Z ), X ) }.
% 0.74/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.74/1.13 { ! singletonP( nil ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.74/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.74/1.13 = Y }.
% 0.74/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.74/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.74/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.74/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.74/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.74/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.74/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.74/1.13 Y }.
% 0.74/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.74/1.13 ( app( Z, X ), Y ) }.
% 0.74/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.74/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.74/1.13 Y }.
% 0.74/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.74/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.74/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.74/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.74/1.13 { cyclefreeP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.74/1.13 { totalorderP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.74/1.13 { strictorderP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.74/1.13 { totalorderedP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.74/1.13 alpha10( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.74/1.13 Y ) ) }.
% 0.74/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.74/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.74/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.74/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.74/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.74/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.74/1.13 { strictorderedP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.74/1.13 alpha11( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.74/1.13 .
% 0.74/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.74/1.13 , Y ) ) }.
% 0.74/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.74/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.74/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.74/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.74/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.74/1.13 { duplicatefreeP( nil ) }.
% 0.74/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.74/1.13 { equalelemsP( nil ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.74/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.74/1.13 ( Y ) = tl( X ), Y = X }.
% 0.74/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.74/1.13 , Z = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.74/1.13 , Z = X }.
% 0.74/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.74/1.13 ( X, app( Y, Z ) ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.74/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.74/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.74/1.13 Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.74/1.13 , geq( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.74/1.13 , lt( X, Z ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.74/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.74/1.13 gt( X, Z ) }.
% 0.74/1.13 { ssList( skol46 ) }.
% 0.74/1.13 { ssList( skol49 ) }.
% 0.74/1.13 { ssList( skol50 ) }.
% 0.74/1.13 { ssList( skol51 ) }.
% 0.74/1.13 { skol49 = skol51 }.
% 0.74/1.13 { skol46 = skol50 }.
% 0.74/1.13 { neq( skol49, nil ) }.
% 0.74/1.13 { ! ssList( X ), ! neq( X, nil ), ! rearsegP( skol49, X ), ! rearsegP(
% 0.74/1.13 skol46, X ) }.
% 0.74/1.13 { nil = skol50, ! nil = skol51 }.
% 0.74/1.13 { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.74/1.13 { ! neq( skol51, nil ), rearsegP( skol51, skol50 ) }.
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for clauses
% 0.74/1.13 percentage equality = 0.128842, percentage horn = 0.762238
% 0.74/1.13 This is a problem with some equality
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Options Used:
% 0.74/1.13
% 0.74/1.13 useres = 1
% 0.74/1.13 useparamod = 1
% 0.74/1.13 useeqrefl = 1
% 0.74/1.13 useeqfact = 1
% 0.74/1.13 usefactor = 1
% 0.74/1.13 usesimpsplitting = 0
% 0.74/1.13 usesimpdemod = 5
% 0.74/1.13 usesimpres = 3
% 0.74/1.13
% 0.74/1.13 resimpinuse = 1000
% 0.74/1.13 resimpclauses = 20000
% 0.74/1.13 substype = eqrewr
% 0.74/1.13 backwardsubs = 1
% 0.74/1.13 selectoldest = 5
% 0.74/1.13
% 0.74/1.13 litorderings [0] = split
% 0.74/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.13
% 0.74/1.13 termordering = kbo
% 0.74/1.13
% 0.74/1.13 litapriori = 0
% 0.74/1.13 termapriori = 1
% 0.74/1.13 litaposteriori = 0
% 0.74/1.13 termaposteriori = 0
% 0.74/1.13 demodaposteriori = 0
% 0.74/1.13 ordereqreflfact = 0
% 0.74/1.13
% 0.74/1.13 litselect = negord
% 0.74/1.13
% 0.74/1.13 maxweight = 15
% 0.74/1.13 maxdepth = 30000
% 0.74/1.13 maxlength = 115
% 0.74/1.13 maxnrvars = 195
% 0.74/1.13 excuselevel = 1
% 0.74/1.13 increasemaxweight = 1
% 0.74/1.13
% 0.74/1.13 maxselected = 10000000
% 0.74/1.13 maxnrclauses = 10000000
% 0.74/1.13
% 0.74/1.13 showgenerated = 0
% 0.74/1.13 showkept = 0
% 0.74/1.13 showselected = 0
% 0.74/1.13 showdeleted = 0
% 0.74/1.13 showresimp = 1
% 0.74/1.13 showstatus = 2000
% 0.74/1.13
% 0.74/1.13 prologoutput = 0
% 0.74/1.13 nrgoals = 5000000
% 0.74/1.13 totalproof = 1
% 0.74/1.13
% 0.74/1.13 Symbols occurring in the translation:
% 0.74/1.13
% 0.74/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.74/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.13 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.13 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.74/1.13 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.13 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.74/1.13 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.74/1.13 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.74/1.13 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.13 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.74/1.13 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.74/1.13 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.65/2.01 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.65/2.01 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.65/2.01 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.65/2.01 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.65/2.01 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.65/2.01 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.65/2.01 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.65/2.01 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.65/2.01 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.65/2.01 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.65/2.01 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.65/2.01 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.65/2.01 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.65/2.01 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.65/2.01 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.65/2.01 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.65/2.01 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.65/2.01 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.65/2.01 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.65/2.01 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.65/2.01 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.65/2.01 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.65/2.01 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.65/2.01 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.65/2.01 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.65/2.01 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.65/2.01 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.65/2.01 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.65/2.01 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.65/2.01 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.65/2.01 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.65/2.01 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.65/2.01 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.65/2.01 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.65/2.01 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.65/2.01 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.65/2.01 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.65/2.01 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.65/2.01 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.65/2.01 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.65/2.01 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.65/2.01 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.65/2.01 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.65/2.01 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.65/2.01 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.65/2.01 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.65/2.01 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.65/2.01 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.65/2.01 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.65/2.01 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.65/2.01 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.65/2.01 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.65/2.01 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.65/2.01 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.65/2.01 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.65/2.01 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.65/2.01 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.65/2.01 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.65/2.01 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.65/2.01 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.65/2.01 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.65/2.01 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.65/2.01 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.65/2.01 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.65/2.01 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.65/2.01 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.65/2.01 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.65/2.01 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.65/2.01 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.65/2.01 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.65/2.01 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.65/2.01 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.65/2.01 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.65/2.01 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.65/2.01 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.65/2.01 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.65/2.01 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.65/2.01 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.65/2.01 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 2.46/2.87 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 2.46/2.87 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.46/2.87 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 2.46/2.87 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 2.46/2.87 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 2.46/2.87 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.46/2.87 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.46/2.87 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.46/2.87 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 2.46/2.87 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.46/2.87 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.46/2.87 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.46/2.87 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.46/2.87 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.46/2.87 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.46/2.87 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.46/2.87 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.46/2.87 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 2.46/2.87 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.46/2.87 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.46/2.87 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.46/2.87 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.46/2.87 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.46/2.87 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.46/2.87 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.46/2.87 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.46/2.87 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.46/2.87 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.46/2.87 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Starting Search:
% 2.46/2.87
% 2.46/2.87 *** allocated 22500 integers for clauses
% 2.46/2.87 *** allocated 33750 integers for clauses
% 2.46/2.87 *** allocated 50625 integers for clauses
% 2.46/2.87 *** allocated 22500 integers for termspace/termends
% 2.46/2.87 *** allocated 75937 integers for clauses
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 33750 integers for termspace/termends
% 2.46/2.87 *** allocated 113905 integers for clauses
% 2.46/2.87 *** allocated 50625 integers for termspace/termends
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 3745
% 2.46/2.87 Kept: 2005
% 2.46/2.87 Inuse: 209
% 2.46/2.87 Deleted: 7
% 2.46/2.87 Deletedinuse: 2
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 170857 integers for clauses
% 2.46/2.87 *** allocated 75937 integers for termspace/termends
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 256285 integers for clauses
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 6788
% 2.46/2.87 Kept: 4018
% 2.46/2.87 Inuse: 379
% 2.46/2.87 Deleted: 10
% 2.46/2.87 Deletedinuse: 5
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 113905 integers for termspace/termends
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 384427 integers for clauses
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 10323
% 2.46/2.87 Kept: 6044
% 2.46/2.87 Inuse: 491
% 2.46/2.87 Deleted: 20
% 2.46/2.87 Deletedinuse: 15
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 170857 integers for termspace/termends
% 2.46/2.87 *** allocated 576640 integers for clauses
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 13457
% 2.46/2.87 Kept: 8103
% 2.46/2.87 Inuse: 595
% 2.46/2.87 Deleted: 27
% 2.46/2.87 Deletedinuse: 20
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 17280
% 2.46/2.87 Kept: 10599
% 2.46/2.87 Inuse: 673
% 2.46/2.87 Deleted: 35
% 2.46/2.87 Deletedinuse: 27
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 256285 integers for termspace/termends
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 864960 integers for clauses
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 21732
% 2.46/2.87 Kept: 12661
% 2.46/2.87 Inuse: 743
% 2.46/2.87 Deleted: 35
% 2.46/2.87 Deletedinuse: 27
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 30370
% 2.46/2.87 Kept: 14771
% 2.46/2.87 Inuse: 782
% 2.46/2.87 Deleted: 50
% 2.46/2.87 Deletedinuse: 41
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 384427 integers for termspace/termends
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 37299
% 2.46/2.87 Kept: 16797
% 2.46/2.87 Inuse: 845
% 2.46/2.87 Deleted: 74
% 2.46/2.87 Deletedinuse: 63
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 1297440 integers for clauses
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 45790
% 2.46/2.87 Kept: 18944
% 2.46/2.87 Inuse: 897
% 2.46/2.87 Deleted: 96
% 2.46/2.87 Deletedinuse: 67
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying clauses:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 57431
% 2.46/2.87 Kept: 21281
% 2.46/2.87 Inuse: 932
% 2.46/2.87 Deleted: 1869
% 2.46/2.87 Deletedinuse: 68
% 2.46/2.87
% 2.46/2.87 *** allocated 576640 integers for termspace/termends
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 65785
% 2.46/2.87 Kept: 23301
% 2.46/2.87 Inuse: 963
% 2.46/2.87 Deleted: 1873
% 2.46/2.87 Deletedinuse: 68
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 72977
% 2.46/2.87 Kept: 25322
% 2.46/2.87 Inuse: 1008
% 2.46/2.87 Deleted: 1873
% 2.46/2.87 Deletedinuse: 68
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 83259
% 2.46/2.87 Kept: 27904
% 2.46/2.87 Inuse: 1048
% 2.46/2.87 Deleted: 1875
% 2.46/2.87 Deletedinuse: 70
% 2.46/2.87
% 2.46/2.87 *** allocated 1946160 integers for clauses
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 92273
% 2.46/2.87 Kept: 29933
% 2.46/2.87 Inuse: 1073
% 2.46/2.87 Deleted: 1875
% 2.46/2.87 Deletedinuse: 70
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 *** allocated 864960 integers for termspace/termends
% 2.46/2.87
% 2.46/2.87 Intermediate Status:
% 2.46/2.87 Generated: 102773
% 2.46/2.87 Kept: 32024
% 2.46/2.87 Inuse: 1103
% 2.46/2.87 Deleted: 1883
% 2.46/2.87 Deletedinuse: 73
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87 Resimplifying inuse:
% 2.46/2.87 Done
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Bliksems!, er is een bewijs:
% 2.46/2.87 % SZS status Theorem
% 2.46/2.87 % SZS output start Refutation
% 2.46/2.87
% 2.46/2.87 (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X ) }.
% 2.46/2.87 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.46/2.87 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.46/2.87 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.46/2.87 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.46/2.87 (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ), ! rearsegP(
% 2.46/2.87 skol49, X ), ! rearsegP( skol46, X ) }.
% 2.46/2.87 (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46, nil ) }.
% 2.46/2.87 (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { rearsegP( skol49
% 2.46/2.87 , skol46 ) }.
% 2.46/2.87 (548) {G1,W3,D2,L1,V0,M1} R(205,275) { rearsegP( skol46, skol46 ) }.
% 2.46/2.87 (33076) {G2,W6,D2,L2,V0,M2} R(282,548);r(275) { ! neq( skol46, nil ), !
% 2.46/2.87 rearsegP( skol49, skol46 ) }.
% 2.46/2.87 (33479) {G3,W0,D0,L0,V0,M0} S(33076);r(284);r(285) { }.
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 % SZS output end Refutation
% 2.46/2.87 found a proof!
% 2.46/2.87
% 2.46/2.87
% 2.46/2.87 Unprocessed initial clauses:
% 2.46/2.87
% 2.46/2.87 (33481) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.46/2.87 , ! X = Y }.
% 2.46/2.87 (33482) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33483) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.46/2.87 (33484) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.46/2.87 (33485) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.46/2.87 (33486) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.46/2.87 , Y ), ssList( skol2( Z, T ) ) }.
% 2.46/2.87 (33487) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.46/2.87 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.46/2.87 (33488) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.46/2.87 (33489) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.46/2.87 ) ) }.
% 2.46/2.87 (33490) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.46/2.87 ( X, Y, Z ) ) ) = X }.
% 2.46/2.87 (33491) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.46/2.87 , alpha1( X, Y, Z ) }.
% 2.46/2.87 (33492) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.46/2.87 skol4( Y ) ) }.
% 2.46/2.87 (33493) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.46/2.87 skol4( X ), nil ) = X }.
% 2.46/2.87 (33494) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.46/2.87 nil ) = X, singletonP( X ) }.
% 2.46/2.87 (33495) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.46/2.87 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.46/2.87 (33496) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.46/2.87 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.46/2.87 (33497) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.46/2.87 (33498) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.46/2.87 , Y ), ssList( skol6( Z, T ) ) }.
% 2.46/2.87 (33499) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.46/2.87 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.46/2.87 (33500) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.46/2.87 (33501) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.46/2.87 , Y ), ssList( skol7( Z, T ) ) }.
% 2.46/2.87 (33502) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.46/2.87 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.46/2.87 (33503) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.46/2.87 (33504) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.46/2.87 ) ) }.
% 2.46/2.87 (33505) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.46/2.87 skol8( X, Y, Z ) ) = X }.
% 2.46/2.87 (33506) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.46/2.87 , alpha2( X, Y, Z ) }.
% 2.46/2.87 (33507) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.46/2.87 Y ), alpha3( X, Y ) }.
% 2.46/2.87 (33508) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.46/2.87 cyclefreeP( X ) }.
% 2.46/2.87 (33509) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.46/2.87 cyclefreeP( X ) }.
% 2.46/2.87 (33510) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33511) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.46/2.87 (33512) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33513) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha28( X, Y, Z, T ) }.
% 2.46/2.87 (33514) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33515) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.46/2.87 alpha21( X, Y, Z ) }.
% 2.46/2.87 (33516) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha35( X, Y, Z, T, U ) }.
% 2.46/2.87 (33517) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33518) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.46/2.87 ), alpha28( X, Y, Z, T ) }.
% 2.46/2.87 (33519) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha41( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33520) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha35( X, Y, Z, T, U ) }.
% 2.46/2.87 (33521) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.46/2.87 (33522) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.46/2.87 (33523) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33524) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.46/2.87 W ) }.
% 2.46/2.87 (33525) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.46/2.87 X ) }.
% 2.46/2.87 (33526) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.46/2.87 (33527) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.46/2.87 (33528) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.46/2.87 ( Y ), alpha4( X, Y ) }.
% 2.46/2.87 (33529) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.46/2.87 totalorderP( X ) }.
% 2.46/2.87 (33530) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.46/2.87 totalorderP( X ) }.
% 2.46/2.87 (33531) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33532) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.46/2.87 (33533) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33534) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha29( X, Y, Z, T ) }.
% 2.46/2.87 (33535) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33536) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.46/2.87 alpha22( X, Y, Z ) }.
% 2.46/2.87 (33537) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha36( X, Y, Z, T, U ) }.
% 2.46/2.87 (33538) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33539) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.46/2.87 ), alpha29( X, Y, Z, T ) }.
% 2.46/2.87 (33540) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha42( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33541) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha36( X, Y, Z, T, U ) }.
% 2.46/2.87 (33542) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.46/2.87 (33543) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.46/2.87 (33544) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33545) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.46/2.87 W ) }.
% 2.46/2.87 (33546) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.46/2.87 }.
% 2.46/2.87 (33547) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.46/2.87 (33548) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.46/2.87 (33549) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.46/2.87 ( Y ), alpha5( X, Y ) }.
% 2.46/2.87 (33550) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.46/2.87 strictorderP( X ) }.
% 2.46/2.87 (33551) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.46/2.87 strictorderP( X ) }.
% 2.46/2.87 (33552) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33553) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.46/2.87 (33554) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33555) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha30( X, Y, Z, T ) }.
% 2.46/2.87 (33556) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33557) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.46/2.87 alpha23( X, Y, Z ) }.
% 2.46/2.87 (33558) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha37( X, Y, Z, T, U ) }.
% 2.46/2.87 (33559) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33560) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.46/2.87 ), alpha30( X, Y, Z, T ) }.
% 2.46/2.87 (33561) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha43( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33562) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha37( X, Y, Z, T, U ) }.
% 2.46/2.87 (33563) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.46/2.87 (33564) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.46/2.87 (33565) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33566) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.46/2.87 W ) }.
% 2.46/2.87 (33567) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.46/2.87 }.
% 2.46/2.87 (33568) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.46/2.87 (33569) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.46/2.87 (33570) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.46/2.87 ssItem( Y ), alpha6( X, Y ) }.
% 2.46/2.87 (33571) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.46/2.87 totalorderedP( X ) }.
% 2.46/2.87 (33572) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.46/2.87 totalorderedP( X ) }.
% 2.46/2.87 (33573) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33574) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.46/2.87 (33575) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33576) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha24( X, Y, Z, T ) }.
% 2.46/2.87 (33577) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33578) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.46/2.87 alpha15( X, Y, Z ) }.
% 2.46/2.87 (33579) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha31( X, Y, Z, T, U ) }.
% 2.46/2.87 (33580) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33581) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.46/2.87 ), alpha24( X, Y, Z, T ) }.
% 2.46/2.87 (33582) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha38( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33583) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha31( X, Y, Z, T, U ) }.
% 2.46/2.87 (33584) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.46/2.87 (33585) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.46/2.87 (33586) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33587) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.46/2.87 }.
% 2.46/2.87 (33588) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.46/2.87 ssItem( Y ), alpha7( X, Y ) }.
% 2.46/2.87 (33589) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.46/2.87 strictorderedP( X ) }.
% 2.46/2.87 (33590) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.46/2.87 strictorderedP( X ) }.
% 2.46/2.87 (33591) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33592) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.46/2.87 (33593) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33594) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha25( X, Y, Z, T ) }.
% 2.46/2.87 (33595) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33596) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.46/2.87 alpha16( X, Y, Z ) }.
% 2.46/2.87 (33597) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha32( X, Y, Z, T, U ) }.
% 2.46/2.87 (33598) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33599) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.46/2.87 ), alpha25( X, Y, Z, T ) }.
% 2.46/2.87 (33600) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha39( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33601) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha32( X, Y, Z, T, U ) }.
% 2.46/2.87 (33602) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.46/2.87 (33603) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.46/2.87 (33604) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33605) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.46/2.87 }.
% 2.46/2.87 (33606) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.46/2.87 ssItem( Y ), alpha8( X, Y ) }.
% 2.46/2.87 (33607) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.46/2.87 duplicatefreeP( X ) }.
% 2.46/2.87 (33608) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.46/2.87 duplicatefreeP( X ) }.
% 2.46/2.87 (33609) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33610) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.46/2.87 (33611) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33612) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha26( X, Y, Z, T ) }.
% 2.46/2.87 (33613) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33614) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.46/2.87 alpha17( X, Y, Z ) }.
% 2.46/2.87 (33615) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha33( X, Y, Z, T, U ) }.
% 2.46/2.87 (33616) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33617) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.46/2.87 ), alpha26( X, Y, Z, T ) }.
% 2.46/2.87 (33618) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.46/2.87 alpha40( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33619) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.46/2.87 alpha33( X, Y, Z, T, U ) }.
% 2.46/2.87 (33620) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.46/2.87 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.46/2.87 (33621) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.46/2.87 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.46/2.87 (33622) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.46/2.87 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33623) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.46/2.87 (33624) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.46/2.87 ( Y ), alpha9( X, Y ) }.
% 2.46/2.87 (33625) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.46/2.87 equalelemsP( X ) }.
% 2.46/2.87 (33626) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.46/2.87 equalelemsP( X ) }.
% 2.46/2.87 (33627) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.46/2.87 , Y, Z ) }.
% 2.46/2.87 (33628) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.46/2.87 (33629) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33630) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.46/2.87 alpha27( X, Y, Z, T ) }.
% 2.46/2.87 (33631) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.46/2.87 Z ) }.
% 2.46/2.87 (33632) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.46/2.87 alpha18( X, Y, Z ) }.
% 2.46/2.87 (33633) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.46/2.87 alpha34( X, Y, Z, T, U ) }.
% 2.46/2.87 (33634) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.46/2.87 X, Y, Z, T ) }.
% 2.46/2.87 (33635) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.46/2.87 ), alpha27( X, Y, Z, T ) }.
% 2.46/2.87 (33636) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.46/2.87 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.46/2.87 (33637) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.46/2.87 alpha34( X, Y, Z, T, U ) }.
% 2.46/2.87 (33638) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.46/2.87 (33639) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.46/2.87 , ! X = Y }.
% 2.46/2.87 (33640) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.46/2.87 , Y ) }.
% 2.46/2.87 (33641) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.46/2.87 Y, X ) ) }.
% 2.46/2.87 (33642) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.46/2.87 (33643) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.46/2.87 = X }.
% 2.46/2.87 (33644) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.46/2.87 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.46/2.87 (33645) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.46/2.87 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.46/2.87 (33646) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.46/2.87 ) }.
% 2.46/2.87 (33647) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.46/2.87 ) }.
% 2.46/2.87 (33648) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.46/2.87 skol43( X ) ) = X }.
% 2.46/2.87 (33649) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.46/2.87 Y, X ) }.
% 2.46/2.87 (33650) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.46/2.87 }.
% 2.46/2.87 (33651) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.46/2.87 X ) ) = Y }.
% 2.46/2.87 (33652) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.46/2.87 }.
% 2.46/2.87 (33653) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.46/2.87 X ) ) = X }.
% 2.46/2.87 (33654) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.46/2.87 , Y ) ) }.
% 2.46/2.87 (33655) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.46/2.87 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.46/2.87 (33656) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.46/2.87 (33657) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.46/2.87 , ! leq( Y, X ), X = Y }.
% 2.46/2.87 (33658) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.46/2.87 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.46/2.87 (33659) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.46/2.87 (33660) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.46/2.87 , leq( Y, X ) }.
% 2.46/2.87 (33661) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.46/2.87 , geq( X, Y ) }.
% 2.46/2.87 (33662) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.46/2.87 , ! lt( Y, X ) }.
% 2.46/2.87 (33663) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.46/2.87 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.46/2.87 (33664) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.46/2.87 , lt( Y, X ) }.
% 2.46/2.87 (33665) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.46/2.87 , gt( X, Y ) }.
% 2.46/2.87 (33666) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.46/2.87 (33667) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.46/2.87 (33668) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.46/2.87 (33669) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.46/2.87 (33670) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.46/2.87 (33671) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.46/2.87 (33672) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.46/2.87 (33673) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.46/2.87 (33674) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.46/2.87 (33675) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.46/2.87 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.46/2.87 (33676) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.46/2.87 (33677) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.46/2.87 (33678) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.46/2.87 (33679) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.46/2.87 , T ) }.
% 2.46/2.87 (33680) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.46/2.87 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.46/2.87 cons( Y, T ) ) }.
% 2.46/2.87 (33681) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.46/2.87 (33682) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.46/2.87 X }.
% 2.46/2.87 (33683) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.46/2.87 ) }.
% 2.46/2.87 (33684) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.46/2.87 (33685) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.46/2.87 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.46/2.87 (33686) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.46/2.87 (33687) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.46/2.87 (33688) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.46/2.87 (33689) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.46/2.87 }.
% 2.46/2.87 (33690) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.46/2.87 }.
% 2.46/2.87 (33691) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.46/2.87 (33692) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.46/2.87 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.46/2.87 (33693) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.46/2.87 (33694) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.46/2.87 }.
% 2.46/2.87 (33695) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.46/2.87 (33696) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.46/2.87 }.
% 2.46/2.87 (33697) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.46/2.87 }.
% 2.46/2.87 (33698) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.46/2.87 }.
% 2.46/2.87 (33699) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.46/2.87 (33700) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.46/2.87 }.
% 2.46/2.87 (33701) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.46/2.87 (33702) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.46/2.87 ) }.
% 2.46/2.87 (33703) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.46/2.87 (33704) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.46/2.87 ) }.
% 2.46/2.87 (33705) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.46/2.87 (33706) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.46/2.87 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.46/2.87 (33707) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.46/2.87 totalorderedP( cons( X, Y ) ) }.
% 2.46/2.87 (33708) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.46/2.87 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.46/2.87 (33709) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.46/2.87 (33710) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.46/2.87 (33711) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.46/2.87 }.
% 2.46/2.87 (33712) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.46/2.87 (33713) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.46/2.87 (33714) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.46/2.87 alpha19( X, Y ) }.
% 2.46/2.87 (33715) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.46/2.87 ) ) }.
% 2.46/2.87 (33716) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.46/2.87 (33717) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.46/2.87 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.46/2.87 (33718) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.46/2.87 strictorderedP( cons( X, Y ) ) }.
% 2.46/2.87 (33719) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.46/2.87 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.46/2.87 (33720) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.46/2.87 (33721) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.46/2.87 (33722) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.46/2.87 }.
% 2.46/2.87 (33723) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.46/2.87 (33724) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.46/2.87 (33725) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.46/2.87 alpha20( X, Y ) }.
% 2.46/2.87 (33726) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.46/2.87 ) ) }.
% 2.46/2.87 (33727) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.46/2.87 (33728) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.46/2.87 }.
% 2.46/2.87 (33729) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.46/2.87 (33730) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.46/2.87 ) }.
% 2.46/2.87 (33731) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.46/2.87 ) }.
% 2.46/2.87 (33732) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.46/2.87 ) }.
% 2.46/2.87 (33733) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.46/2.87 ) }.
% 2.46/2.87 (33734) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.46/2.87 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.46/2.87 (33735) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.46/2.87 X ) ) = X }.
% 2.46/2.87 (33736) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.46/2.87 (33737) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.46/2.87 (33738) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.46/2.87 = app( cons( Y, nil ), X ) }.
% 2.46/2.87 (33739) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.46/2.87 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.46/2.87 (33740) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.46/2.87 X, Y ), nil = Y }.
% 2.46/2.87 (33741) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.46/2.87 X, Y ), nil = X }.
% 2.46/2.87 (33742) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.46/2.87 nil = X, nil = app( X, Y ) }.
% 2.46/2.87 (33743) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.46/2.87 (33744) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.46/2.87 app( X, Y ) ) = hd( X ) }.
% 2.46/2.87 (33745) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.46/2.87 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.46/2.87 (33746) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.46/2.87 , ! geq( Y, X ), X = Y }.
% 2.46/2.87 (33747) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.46/2.87 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.46/2.87 (33748) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.46/2.87 (33749) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.46/2.87 (33750) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.46/2.87 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.46/2.87 (33751) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.46/2.87 , X = Y, lt( X, Y ) }.
% 2.46/2.87 (33752) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.46/2.87 , ! X = Y }.
% 2.46/2.87 (33753) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.46/2.87 , leq( X, Y ) }.
% 2.46/2.87 (33754) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.46/2.87 ( X, Y ), lt( X, Y ) }.
% 2.46/2.87 (33755) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.46/2.87 , ! gt( Y, X ) }.
% 2.46/2.87 (33756) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.46/2.87 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.46/2.87 (33757) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.46/2.87 (33758) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.46/2.89 (33759) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.46/2.89 (33760) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.46/2.89 (33761) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.46/2.89 (33762) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.46/2.89 (33763) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 2.46/2.89 (33764) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! rearsegP
% 2.46/2.89 ( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.46/2.89 (33765) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 2.46/2.89 (33766) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 2.46/2.89 (33767) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), rearsegP( skol51,
% 2.46/2.89 skol50 ) }.
% 2.46/2.89
% 2.46/2.89
% 2.46/2.89 Total Proof:
% 2.46/2.89
% 2.46/2.89 subsumption: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 2.46/2.89 }.
% 2.46/2.89 parent0: (33686) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 X := X
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 1 ==> 1
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.46/2.89 parent0: (33757) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 eqswap: (34626) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.46/2.89 parent0[0]: (33761) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.46/2.89 parent0: (34626) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 eqswap: (34974) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.46/2.89 parent0[0]: (33762) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.46/2.89 parent0: (34974) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.46/2.89 parent0: (33763) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil )
% 2.46/2.89 , ! rearsegP( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.46/2.89 parent0: (33764) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), !
% 2.46/2.89 rearsegP( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 X := X
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 1 ==> 1
% 2.46/2.89 2 ==> 2
% 2.46/2.89 3 ==> 3
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 paramod: (36612) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq( skol50,
% 2.46/2.89 nil ) }.
% 2.46/2.89 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.46/2.89 parent1[0; 2]: (33766) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq(
% 2.46/2.89 skol50, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 paramod: (36613) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49,
% 2.46/2.89 nil ) }.
% 2.46/2.89 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.46/2.89 parent1[1; 1]: (36612) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq(
% 2.46/2.89 skol50, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (36614) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 2.46/2.89 parent0[1]: (36613) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq(
% 2.46/2.89 skol49, nil ) }.
% 2.46/2.89 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 2.46/2.89 , nil ) }.
% 2.46/2.89 parent0: (36614) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 paramod: (37843) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ), ! neq(
% 2.46/2.89 skol51, nil ) }.
% 2.46/2.89 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.46/2.89 parent1[1; 1]: (33767) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ),
% 2.46/2.89 rearsegP( skol51, skol50 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 paramod: (37845) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), rearsegP(
% 2.46/2.89 skol49, skol50 ) }.
% 2.46/2.89 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.46/2.89 parent1[1; 2]: (37843) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol50 ), !
% 2.46/2.89 neq( skol51, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 paramod: (37846) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), ! neq(
% 2.46/2.89 skol49, nil ) }.
% 2.46/2.89 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.46/2.89 parent1[1; 2]: (37845) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 2.46/2.89 rearsegP( skol49, skol50 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37847) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent0[1]: (37846) {G1,W6,D2,L2,V0,M2} { rearsegP( skol49, skol46 ), !
% 2.46/2.89 neq( skol49, nil ) }.
% 2.46/2.89 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 2.46/2.89 rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent0: (37847) {G1,W3,D2,L1,V0,M1} { rearsegP( skol49, skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37848) {G1,W3,D2,L1,V0,M1} { rearsegP( skol46, skol46 ) }.
% 2.46/2.89 parent0[0]: (205) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), rearsegP( X, X )
% 2.46/2.89 }.
% 2.46/2.89 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 X := skol46
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (548) {G1,W3,D2,L1,V0,M1} R(205,275) { rearsegP( skol46,
% 2.46/2.89 skol46 ) }.
% 2.46/2.89 parent0: (37848) {G1,W3,D2,L1,V0,M1} { rearsegP( skol46, skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37849) {G1,W8,D2,L3,V0,M3} { ! ssList( skol46 ), ! neq(
% 2.46/2.89 skol46, nil ), ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent0[3]: (282) {G0,W11,D2,L4,V1,M4} I { ! ssList( X ), ! neq( X, nil ),
% 2.46/2.89 ! rearsegP( skol49, X ), ! rearsegP( skol46, X ) }.
% 2.46/2.89 parent1[0]: (548) {G1,W3,D2,L1,V0,M1} R(205,275) { rearsegP( skol46, skol46
% 2.46/2.89 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 X := skol46
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37850) {G1,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! rearsegP
% 2.46/2.89 ( skol49, skol46 ) }.
% 2.46/2.89 parent0[0]: (37849) {G1,W8,D2,L3,V0,M3} { ! ssList( skol46 ), ! neq(
% 2.46/2.89 skol46, nil ), ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (33076) {G2,W6,D2,L2,V0,M2} R(282,548);r(275) { ! neq( skol46
% 2.46/2.89 , nil ), ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent0: (37850) {G1,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! rearsegP(
% 2.46/2.89 skol49, skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 0 ==> 0
% 2.46/2.89 1 ==> 1
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37851) {G2,W3,D2,L1,V0,M1} { ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent0[0]: (33076) {G2,W6,D2,L2,V0,M2} R(282,548);r(275) { ! neq( skol46,
% 2.46/2.89 nil ), ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent1[0]: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 2.46/2.89 , nil ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 resolution: (37852) {G2,W0,D0,L0,V0,M0} { }.
% 2.46/2.89 parent0[0]: (37851) {G2,W3,D2,L1,V0,M1} { ! rearsegP( skol49, skol46 ) }.
% 2.46/2.89 parent1[0]: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 2.46/2.89 rearsegP( skol49, skol46 ) }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 substitution1:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 subsumption: (33479) {G3,W0,D0,L0,V0,M0} S(33076);r(284);r(285) { }.
% 2.46/2.89 parent0: (37852) {G2,W0,D0,L0,V0,M0} { }.
% 2.46/2.89 substitution0:
% 2.46/2.89 end
% 2.46/2.89 permutation0:
% 2.46/2.89 end
% 2.46/2.89
% 2.46/2.89 Proof check complete!
% 2.46/2.89
% 2.46/2.89 Memory use:
% 2.46/2.89
% 2.46/2.89 space for terms: 624613
% 2.46/2.89 space for clauses: 1513088
% 2.46/2.89
% 2.46/2.89
% 2.46/2.89 clauses generated: 108066
% 2.46/2.89 clauses kept: 33480
% 2.46/2.89 clauses selected: 1141
% 2.46/2.89 clauses deleted: 1888
% 2.46/2.89 clauses inuse deleted: 73
% 2.46/2.89
% 2.46/2.89 subsentry: 169858
% 2.46/2.89 literals s-matched: 109338
% 2.46/2.89 literals matched: 93470
% 2.46/2.89 full subsumption: 51726
% 2.46/2.89
% 2.46/2.89 checksum: 1859145031
% 2.46/2.89
% 2.46/2.89
% 2.46/2.89 Bliksem ended
%------------------------------------------------------------------------------