TSTP Solution File: SWC411+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC411+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:36:42 EDT 2022
% Result : Theorem 2.41s 2.81s
% Output : Refutation 2.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC411+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.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 14:57:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12 *** allocated 15000 integers for termspace/termends
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.70/1.12 { ssItem( skol1 ) }.
% 0.70/1.12 { ssItem( skol47 ) }.
% 0.70/1.12 { ! skol1 = skol47 }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.70/1.12 }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.70/1.12 Y ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.70/1.12 ( X, Y ) }.
% 0.70/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.70/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.70/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.70/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.70/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.70/1.12 ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.70/1.12 ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.70/1.12 ( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.70/1.12 }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.70/1.12 = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.70/1.12 ( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.70/1.12 }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.70/1.12 , Y ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.70/1.12 segmentP( X, Y ) }.
% 0.70/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.70/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.70/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.70/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.70/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.70/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.70/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.70/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.70/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.70/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.70/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.70/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.70/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.70/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.70/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.70/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.70/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.70/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.70/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.70/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.70/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.70/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.70/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.70/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.70/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.70/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.70/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, leq( Y, Z ) }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.70/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.70/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.70/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.70/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.70/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, lt( Y, Z ) }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.70/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.70/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.70/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.70/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.70/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.70/1.12 .
% 0.70/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.70/1.12 , U ) }.
% 0.70/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.70/1.12 ) ) = X, ! Y = Z }.
% 0.70/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.70/1.12 W ) }.
% 0.70/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.70/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.70/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.70/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.70/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.70/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.70/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.70/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.70/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.70/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.70/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.70/1.12 Z }.
% 0.70/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.70/1.12 { ssList( nil ) }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.70/1.12 ) = cons( T, Y ), Z = T }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.70/1.12 ) = cons( T, Y ), Y = X }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.70/1.12 ( cons( Z, Y ), X ) }.
% 0.70/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.70/1.12 , leq( X, Z ) }.
% 0.70/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.70/1.12 lt( X, Z ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.70/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.70/1.12 app( Y, Z ), X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.70/1.12 app( Y, Z ), X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.70/1.12 , X = Y, memberP( Z, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.70/1.12 ), X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.70/1.12 cons( Y, Z ), X ) }.
% 0.70/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.70/1.12 { ! singletonP( nil ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.70/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.70/1.12 = Y }.
% 0.70/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.70/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.70/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.70/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.70/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.70/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.70/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.70/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.70/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.70/1.12 Y }.
% 0.70/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.70/1.12 ( app( Z, X ), Y ) }.
% 0.70/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.70/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.70/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.70/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.70/1.12 Y }.
% 0.70/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.70/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.70/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.70/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.70/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.70/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.70/1.12 { cyclefreeP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.70/1.12 { totalorderP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.70/1.12 { strictorderP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.70/1.12 { totalorderedP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.70/1.12 alpha10( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.70/1.12 .
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.70/1.12 Y ) ) }.
% 0.70/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.70/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.70/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.70/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.70/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.70/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.70/1.12 { strictorderedP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.70/1.12 alpha11( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.70/1.12 .
% 0.70/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.70/1.12 , Y ) ) }.
% 0.70/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.70/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.70/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.70/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.70/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.70/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.70/1.12 { duplicatefreeP( nil ) }.
% 0.70/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.70/1.12 { equalelemsP( nil ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.70/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.70/1.12 ( Y ) = tl( X ), Y = X }.
% 0.70/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.70/1.12 , Z = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.70/1.12 , Z = X }.
% 0.70/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.70/1.12 ( X, app( Y, Z ) ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.70/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.70/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.70/1.12 Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.70/1.12 , geq( X, Z ) }.
% 0.70/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.70/1.12 , lt( X, Z ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.70/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.70/1.12 gt( X, Z ) }.
% 0.70/1.12 { ssList( skol46 ) }.
% 0.70/1.12 { ssList( skol49 ) }.
% 0.70/1.12 { ssList( skol50 ) }.
% 0.70/1.12 { ssList( skol51 ) }.
% 0.70/1.12 { skol49 = skol51 }.
% 0.70/1.12 { skol46 = skol50 }.
% 0.70/1.12 { ! ssItem( X ), memberP( skol50, X ), ! memberP( skol51, X ) }.
% 0.70/1.12 { ssItem( skol52 ) }.
% 0.70/1.12 { memberP( skol49, skol52 ) }.
% 0.70/1.12 { ! memberP( skol46, skol52 ) }.
% 0.70/1.12
% 0.70/1.12 *** allocated 15000 integers for clauses
% 0.70/1.12 percentage equality = 0.127229, percentage horn = 0.761404
% 0.70/1.12 This is a problem with some equality
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Options Used:
% 0.70/1.12
% 0.70/1.12 useres = 1
% 0.70/1.12 useparamod = 1
% 0.70/1.12 useeqrefl = 1
% 0.70/1.12 useeqfact = 1
% 0.70/1.12 usefactor = 1
% 0.70/1.12 usesimpsplitting = 0
% 0.70/1.12 usesimpdemod = 5
% 0.70/1.12 usesimpres = 3
% 0.70/1.12
% 0.70/1.12 resimpinuse = 1000
% 0.70/1.12 resimpclauses = 20000
% 0.70/1.12 substype = eqrewr
% 0.70/1.12 backwardsubs = 1
% 0.70/1.12 selectoldest = 5
% 0.70/1.12
% 0.70/1.12 litorderings [0] = split
% 0.70/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.70/1.12
% 0.70/1.12 termordering = kbo
% 0.70/1.12
% 0.70/1.12 litapriori = 0
% 0.70/1.12 termapriori = 1
% 0.70/1.12 litaposteriori = 0
% 0.70/1.12 termaposteriori = 0
% 0.70/1.12 demodaposteriori = 0
% 0.70/1.12 ordereqreflfact = 0
% 0.70/1.12
% 0.70/1.12 litselect = negord
% 0.70/1.12
% 0.70/1.12 maxweight = 15
% 0.70/1.12 maxdepth = 30000
% 0.70/1.12 maxlength = 115
% 0.70/1.12 maxnrvars = 195
% 0.70/1.12 excuselevel = 1
% 0.70/1.12 increasemaxweight = 1
% 0.70/1.12
% 0.70/1.12 maxselected = 10000000
% 0.70/1.12 maxnrclauses = 10000000
% 0.70/1.12
% 0.70/1.12 showgenerated = 0
% 0.70/1.12 showkept = 0
% 0.70/1.12 showselected = 0
% 0.70/1.12 showdeleted = 0
% 0.70/1.12 showresimp = 1
% 0.70/1.12 showstatus = 2000
% 0.70/1.12
% 0.70/1.12 prologoutput = 0
% 0.70/1.12 nrgoals = 5000000
% 0.70/1.12 totalproof = 1
% 0.70/1.12
% 0.70/1.12 Symbols occurring in the translation:
% 0.70/1.12
% 0.70/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.12 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.12 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.70/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.12 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.70/1.12 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.70/1.12 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.70/1.12 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.70/1.12 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.70/1.12 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.70/1.12 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.70/1.12 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.12 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.70/1.12 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.70/1.12 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.70/1.12 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.62/2.00 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.62/2.00 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.62/2.00 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.62/2.00 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.62/2.00 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.62/2.00 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.62/2.00 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.62/2.00 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.62/2.00 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.62/2.00 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.62/2.00 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.62/2.00 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.62/2.00 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.62/2.00 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.62/2.00 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.62/2.00 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.62/2.00 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.62/2.00 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.62/2.00 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.62/2.00 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.62/2.00 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.62/2.00 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.62/2.00 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.62/2.00 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.62/2.00 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.62/2.00 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.62/2.00 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.62/2.00 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.62/2.00 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.62/2.00 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.62/2.00 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.62/2.00 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.62/2.00 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.62/2.00 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.62/2.00 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.62/2.00 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.62/2.00 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.62/2.00 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.62/2.00 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.62/2.00 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.62/2.00 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.62/2.00 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.62/2.00 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.62/2.00 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.62/2.00 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.62/2.00 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.62/2.00 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.62/2.00 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.62/2.00 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.62/2.00 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.62/2.00 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.62/2.00 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.62/2.00 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.62/2.00 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.62/2.00 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.62/2.00 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.62/2.00 skol2 [109, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.62/2.00 skol3 [110, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.62/2.00 skol4 [111, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.62/2.00 skol5 [112, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.62/2.00 skol6 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.62/2.00 skol7 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.62/2.00 skol8 [115, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.62/2.00 skol9 [116, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.62/2.00 skol10 [117, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.62/2.00 skol11 [118, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.62/2.00 skol12 [119, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.62/2.00 skol13 [120, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.62/2.00 skol14 [121, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.62/2.00 skol15 [122, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.62/2.00 skol16 [123, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.62/2.00 skol17 [124, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.62/2.00 skol18 [125, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.62/2.00 skol19 [126, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.62/2.00 skol20 [127, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.62/2.00 skol21 [128, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.62/2.00 skol22 [129, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.62/2.00 skol23 [130, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.62/2.00 skol24 [131, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.41/2.81 skol25 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.41/2.81 skol26 [133, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.41/2.81 skol27 [134, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.41/2.81 skol28 [135, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.41/2.81 skol29 [136, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.41/2.81 skol30 [137, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.41/2.81 skol31 [138, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.41/2.81 skol32 [139, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.41/2.81 skol33 [140, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.41/2.81 skol34 [141, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.41/2.81 skol35 [142, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.41/2.81 skol36 [143, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.41/2.81 skol37 [144, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.41/2.81 skol38 [145, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.41/2.81 skol39 [146, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.41/2.81 skol40 [147, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.41/2.81 skol41 [148, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.41/2.81 skol42 [149, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.41/2.81 skol43 [150, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.41/2.81 skol44 [151, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.41/2.81 skol45 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.41/2.81 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.41/2.81 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.41/2.81 skol48 [155, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.41/2.81 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.41/2.81 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.41/2.81 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.41/2.81 skol52 [159, 0] (w:1, o:19, a:1, s:1, b:1).
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Starting Search:
% 2.41/2.81
% 2.41/2.81 *** allocated 22500 integers for clauses
% 2.41/2.81 *** allocated 33750 integers for clauses
% 2.41/2.81 *** allocated 50625 integers for clauses
% 2.41/2.81 *** allocated 22500 integers for termspace/termends
% 2.41/2.81 *** allocated 75937 integers for clauses
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 33750 integers for termspace/termends
% 2.41/2.81 *** allocated 113905 integers for clauses
% 2.41/2.81 *** allocated 50625 integers for termspace/termends
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 3708
% 2.41/2.81 Kept: 2008
% 2.41/2.81 Inuse: 228
% 2.41/2.81 Deleted: 6
% 2.41/2.81 Deletedinuse: 0
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 170857 integers for clauses
% 2.41/2.81 *** allocated 75937 integers for termspace/termends
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 256285 integers for clauses
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 6946
% 2.41/2.81 Kept: 4011
% 2.41/2.81 Inuse: 383
% 2.41/2.81 Deleted: 11
% 2.41/2.81 Deletedinuse: 5
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 113905 integers for termspace/termends
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 384427 integers for clauses
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 10380
% 2.41/2.81 Kept: 6055
% 2.41/2.81 Inuse: 506
% 2.41/2.81 Deleted: 14
% 2.41/2.81 Deletedinuse: 8
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 170857 integers for termspace/termends
% 2.41/2.81 *** allocated 576640 integers for clauses
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 13429
% 2.41/2.81 Kept: 8067
% 2.41/2.81 Inuse: 617
% 2.41/2.81 Deleted: 25
% 2.41/2.81 Deletedinuse: 19
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 16857
% 2.41/2.81 Kept: 10207
% 2.41/2.81 Inuse: 675
% 2.41/2.81 Deleted: 25
% 2.41/2.81 Deletedinuse: 19
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 256285 integers for termspace/termends
% 2.41/2.81 *** allocated 864960 integers for clauses
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 21264
% 2.41/2.81 Kept: 12230
% 2.41/2.81 Inuse: 748
% 2.41/2.81 Deleted: 30
% 2.41/2.81 Deletedinuse: 24
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 29236
% 2.41/2.81 Kept: 14411
% 2.41/2.81 Inuse: 780
% 2.41/2.81 Deleted: 35
% 2.41/2.81 Deletedinuse: 29
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 384427 integers for termspace/termends
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 34041
% 2.41/2.81 Kept: 16468
% 2.41/2.81 Inuse: 833
% 2.41/2.81 Deleted: 57
% 2.41/2.81 Deletedinuse: 49
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 1297440 integers for clauses
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 42129
% 2.41/2.81 Kept: 18598
% 2.41/2.81 Inuse: 898
% 2.41/2.81 Deleted: 63
% 2.41/2.81 Deletedinuse: 55
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying clauses:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 51495
% 2.41/2.81 Kept: 20636
% 2.41/2.81 Inuse: 933
% 2.41/2.81 Deleted: 2429
% 2.41/2.81 Deletedinuse: 55
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 576640 integers for termspace/termends
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 60305
% 2.41/2.81 Kept: 22650
% 2.41/2.81 Inuse: 973
% 2.41/2.81 Deleted: 2433
% 2.41/2.81 Deletedinuse: 57
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 69945
% 2.41/2.81 Kept: 24998
% 2.41/2.81 Inuse: 1002
% 2.41/2.81 Deleted: 2443
% 2.41/2.81 Deletedinuse: 58
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 78087
% 2.41/2.81 Kept: 27379
% 2.41/2.81 Inuse: 1052
% 2.41/2.81 Deleted: 2444
% 2.41/2.81 Deletedinuse: 59
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 1946160 integers for clauses
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 90666
% 2.41/2.81 Kept: 30104
% 2.41/2.81 Inuse: 1082
% 2.41/2.81 Deleted: 2445
% 2.41/2.81 Deletedinuse: 60
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81 *** allocated 864960 integers for termspace/termends
% 2.41/2.81
% 2.41/2.81 Intermediate Status:
% 2.41/2.81 Generated: 102070
% 2.41/2.81 Kept: 32597
% 2.41/2.81 Inuse: 1122
% 2.41/2.81 Deleted: 2448
% 2.41/2.81 Deletedinuse: 63
% 2.41/2.81
% 2.41/2.81 Resimplifying inuse:
% 2.41/2.81 Done
% 2.41/2.81
% 2.41/2.81
% 2.41/2.81 Bliksems!, er is een bewijs:
% 2.41/2.81 % SZS status Theorem
% 2.41/2.82 % SZS output start Refutation
% 2.41/2.82
% 2.41/2.82 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.41/2.82 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.41/2.82 (281) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ), memberP( skol46
% 2.41/2.82 , X ), ! memberP( skol49, X ) }.
% 2.41/2.82 (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 2.41/2.82 (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 2.41/2.82 (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 2.41/2.82 (33352) {G2,W3,D2,L1,V0,M1} R(281,283);r(282) { memberP( skol46, skol52 )
% 2.41/2.82 }.
% 2.41/2.82 (33388) {G3,W0,D0,L0,V0,M0} S(33352);r(284) { }.
% 2.41/2.82
% 2.41/2.82
% 2.41/2.82 % SZS output end Refutation
% 2.41/2.82 found a proof!
% 2.41/2.82
% 2.41/2.82
% 2.41/2.82 Unprocessed initial clauses:
% 2.41/2.82
% 2.41/2.82 (33390) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.41/2.82 , ! X = Y }.
% 2.41/2.82 (33391) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33392) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.41/2.82 (33393) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.41/2.82 (33394) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.41/2.82 (33395) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.41/2.82 , Y ), ssList( skol2( Z, T ) ) }.
% 2.41/2.82 (33396) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.41/2.82 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.41/2.82 (33397) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.41/2.82 (33398) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.41/2.82 ) ) }.
% 2.41/2.82 (33399) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.41/2.82 ( X, Y, Z ) ) ) = X }.
% 2.41/2.82 (33400) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.41/2.82 , alpha1( X, Y, Z ) }.
% 2.41/2.82 (33401) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.41/2.82 skol4( Y ) ) }.
% 2.41/2.82 (33402) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.41/2.82 skol4( X ), nil ) = X }.
% 2.41/2.82 (33403) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.41/2.82 nil ) = X, singletonP( X ) }.
% 2.41/2.82 (33404) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.41/2.82 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.41/2.82 (33405) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.41/2.82 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.41/2.82 (33406) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.41/2.82 (33407) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.41/2.82 , Y ), ssList( skol6( Z, T ) ) }.
% 2.41/2.82 (33408) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.41/2.82 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.41/2.82 (33409) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.41/2.82 (33410) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.41/2.82 , Y ), ssList( skol7( Z, T ) ) }.
% 2.41/2.82 (33411) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.41/2.82 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.41/2.82 (33412) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.41/2.82 (33413) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.41/2.82 ) ) }.
% 2.41/2.82 (33414) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.41/2.82 skol8( X, Y, Z ) ) = X }.
% 2.41/2.82 (33415) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.41/2.82 , alpha2( X, Y, Z ) }.
% 2.41/2.82 (33416) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.41/2.82 Y ), alpha3( X, Y ) }.
% 2.41/2.82 (33417) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.41/2.82 cyclefreeP( X ) }.
% 2.41/2.82 (33418) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.41/2.82 cyclefreeP( X ) }.
% 2.41/2.82 (33419) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33420) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.41/2.82 (33421) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33422) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha28( X, Y, Z, T ) }.
% 2.41/2.82 (33423) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33424) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.41/2.82 alpha21( X, Y, Z ) }.
% 2.41/2.82 (33425) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha35( X, Y, Z, T, U ) }.
% 2.41/2.82 (33426) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33427) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.41/2.82 ), alpha28( X, Y, Z, T ) }.
% 2.41/2.82 (33428) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha41( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33429) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha35( X, Y, Z, T, U ) }.
% 2.41/2.82 (33430) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.41/2.82 (33431) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.41/2.82 (33432) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33433) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.41/2.82 W ) }.
% 2.41/2.82 (33434) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.41/2.82 X ) }.
% 2.41/2.82 (33435) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.41/2.82 (33436) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.41/2.82 (33437) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.41/2.82 ( Y ), alpha4( X, Y ) }.
% 2.41/2.82 (33438) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.41/2.82 totalorderP( X ) }.
% 2.41/2.82 (33439) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.41/2.82 totalorderP( X ) }.
% 2.41/2.82 (33440) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33441) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.41/2.82 (33442) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33443) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha29( X, Y, Z, T ) }.
% 2.41/2.82 (33444) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33445) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.41/2.82 alpha22( X, Y, Z ) }.
% 2.41/2.82 (33446) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha36( X, Y, Z, T, U ) }.
% 2.41/2.82 (33447) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33448) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.41/2.82 ), alpha29( X, Y, Z, T ) }.
% 2.41/2.82 (33449) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha42( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33450) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha36( X, Y, Z, T, U ) }.
% 2.41/2.82 (33451) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.41/2.82 (33452) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.41/2.82 (33453) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33454) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.41/2.82 W ) }.
% 2.41/2.82 (33455) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.41/2.82 }.
% 2.41/2.82 (33456) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.41/2.82 (33457) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.41/2.82 (33458) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.41/2.82 ( Y ), alpha5( X, Y ) }.
% 2.41/2.82 (33459) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.41/2.82 strictorderP( X ) }.
% 2.41/2.82 (33460) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.41/2.82 strictorderP( X ) }.
% 2.41/2.82 (33461) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33462) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.41/2.82 (33463) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33464) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha30( X, Y, Z, T ) }.
% 2.41/2.82 (33465) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33466) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.41/2.82 alpha23( X, Y, Z ) }.
% 2.41/2.82 (33467) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha37( X, Y, Z, T, U ) }.
% 2.41/2.82 (33468) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33469) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.41/2.82 ), alpha30( X, Y, Z, T ) }.
% 2.41/2.82 (33470) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha43( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33471) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha37( X, Y, Z, T, U ) }.
% 2.41/2.82 (33472) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.41/2.82 (33473) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.41/2.82 (33474) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33475) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.41/2.82 W ) }.
% 2.41/2.82 (33476) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.41/2.82 }.
% 2.41/2.82 (33477) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.41/2.82 (33478) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.41/2.82 (33479) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.41/2.82 ssItem( Y ), alpha6( X, Y ) }.
% 2.41/2.82 (33480) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.41/2.82 totalorderedP( X ) }.
% 2.41/2.82 (33481) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.41/2.82 totalorderedP( X ) }.
% 2.41/2.82 (33482) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33483) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.41/2.82 (33484) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33485) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha24( X, Y, Z, T ) }.
% 2.41/2.82 (33486) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33487) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.41/2.82 alpha15( X, Y, Z ) }.
% 2.41/2.82 (33488) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha31( X, Y, Z, T, U ) }.
% 2.41/2.82 (33489) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33490) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.41/2.82 ), alpha24( X, Y, Z, T ) }.
% 2.41/2.82 (33491) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha38( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33492) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha31( X, Y, Z, T, U ) }.
% 2.41/2.82 (33493) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.41/2.82 (33494) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.41/2.82 (33495) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33496) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.41/2.82 }.
% 2.41/2.82 (33497) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.41/2.82 ssItem( Y ), alpha7( X, Y ) }.
% 2.41/2.82 (33498) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.41/2.82 strictorderedP( X ) }.
% 2.41/2.82 (33499) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.41/2.82 strictorderedP( X ) }.
% 2.41/2.82 (33500) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33501) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.41/2.82 (33502) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33503) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha25( X, Y, Z, T ) }.
% 2.41/2.82 (33504) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33505) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.41/2.82 alpha16( X, Y, Z ) }.
% 2.41/2.82 (33506) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha32( X, Y, Z, T, U ) }.
% 2.41/2.82 (33507) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33508) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.41/2.82 ), alpha25( X, Y, Z, T ) }.
% 2.41/2.82 (33509) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha39( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33510) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha32( X, Y, Z, T, U ) }.
% 2.41/2.82 (33511) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.41/2.82 (33512) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.41/2.82 (33513) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33514) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.41/2.82 }.
% 2.41/2.82 (33515) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.41/2.82 ssItem( Y ), alpha8( X, Y ) }.
% 2.41/2.82 (33516) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.41/2.82 duplicatefreeP( X ) }.
% 2.41/2.82 (33517) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.41/2.82 duplicatefreeP( X ) }.
% 2.41/2.82 (33518) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33519) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.41/2.82 (33520) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33521) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha26( X, Y, Z, T ) }.
% 2.41/2.82 (33522) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33523) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.41/2.82 alpha17( X, Y, Z ) }.
% 2.41/2.82 (33524) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha33( X, Y, Z, T, U ) }.
% 2.41/2.82 (33525) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33526) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.41/2.82 ), alpha26( X, Y, Z, T ) }.
% 2.41/2.82 (33527) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.41/2.82 alpha40( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33528) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.41/2.82 alpha33( X, Y, Z, T, U ) }.
% 2.41/2.82 (33529) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.41/2.82 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.41/2.82 (33530) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.41/2.82 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.41/2.82 (33531) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.41/2.82 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33532) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.41/2.82 (33533) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.41/2.82 ( Y ), alpha9( X, Y ) }.
% 2.41/2.82 (33534) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.41/2.82 equalelemsP( X ) }.
% 2.41/2.82 (33535) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.41/2.82 equalelemsP( X ) }.
% 2.41/2.82 (33536) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.41/2.82 , Y, Z ) }.
% 2.41/2.82 (33537) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.41/2.82 (33538) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33539) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.41/2.82 alpha27( X, Y, Z, T ) }.
% 2.41/2.82 (33540) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.41/2.82 Z ) }.
% 2.41/2.82 (33541) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.41/2.82 alpha18( X, Y, Z ) }.
% 2.41/2.82 (33542) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.41/2.82 alpha34( X, Y, Z, T, U ) }.
% 2.41/2.82 (33543) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.41/2.82 X, Y, Z, T ) }.
% 2.41/2.82 (33544) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.41/2.82 ), alpha27( X, Y, Z, T ) }.
% 2.41/2.82 (33545) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.41/2.82 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.41/2.82 (33546) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.41/2.82 alpha34( X, Y, Z, T, U ) }.
% 2.41/2.82 (33547) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.41/2.82 (33548) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.41/2.82 , ! X = Y }.
% 2.41/2.82 (33549) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.41/2.82 , Y ) }.
% 2.41/2.82 (33550) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.41/2.82 Y, X ) ) }.
% 2.41/2.82 (33551) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.41/2.82 (33552) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.41/2.82 = X }.
% 2.41/2.82 (33553) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.41/2.82 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.41/2.82 (33554) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.41/2.82 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.41/2.82 (33555) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.41/2.82 ) }.
% 2.41/2.82 (33556) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.41/2.82 ) }.
% 2.41/2.82 (33557) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.41/2.82 skol43( X ) ) = X }.
% 2.41/2.82 (33558) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.41/2.82 Y, X ) }.
% 2.41/2.82 (33559) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.41/2.82 }.
% 2.41/2.82 (33560) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.41/2.82 X ) ) = Y }.
% 2.41/2.82 (33561) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.41/2.82 }.
% 2.41/2.82 (33562) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.41/2.82 X ) ) = X }.
% 2.41/2.82 (33563) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.41/2.82 , Y ) ) }.
% 2.41/2.82 (33564) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.41/2.82 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.41/2.82 (33565) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.41/2.82 (33566) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.41/2.82 , ! leq( Y, X ), X = Y }.
% 2.41/2.82 (33567) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.41/2.82 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.41/2.82 (33568) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.41/2.82 (33569) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.41/2.82 , leq( Y, X ) }.
% 2.41/2.82 (33570) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.41/2.82 , geq( X, Y ) }.
% 2.41/2.82 (33571) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.41/2.82 , ! lt( Y, X ) }.
% 2.41/2.82 (33572) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.41/2.82 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.41/2.82 (33573) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.41/2.82 , lt( Y, X ) }.
% 2.41/2.82 (33574) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.41/2.82 , gt( X, Y ) }.
% 2.41/2.82 (33575) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.41/2.82 (33576) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.41/2.82 (33577) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.41/2.82 (33578) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.41/2.82 (33579) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.41/2.82 (33580) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.41/2.82 (33581) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.41/2.82 (33582) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.41/2.82 (33583) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.41/2.82 (33584) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.41/2.82 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.41/2.82 (33585) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.41/2.82 (33586) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.41/2.82 (33587) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.41/2.82 (33588) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.41/2.82 , T ) }.
% 2.41/2.82 (33589) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.41/2.82 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.41/2.82 cons( Y, T ) ) }.
% 2.41/2.82 (33590) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.41/2.82 (33591) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.41/2.82 X }.
% 2.41/2.82 (33592) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.41/2.82 ) }.
% 2.41/2.82 (33593) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.41/2.82 (33594) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.41/2.82 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.41/2.82 (33595) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.41/2.82 (33596) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.41/2.82 (33597) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.41/2.82 (33598) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.41/2.82 }.
% 2.41/2.82 (33599) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.41/2.82 }.
% 2.41/2.82 (33600) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.41/2.82 (33601) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.41/2.82 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.41/2.82 (33602) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.41/2.82 (33603) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.41/2.82 }.
% 2.41/2.82 (33604) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.41/2.82 (33605) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.41/2.82 }.
% 2.41/2.82 (33606) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.41/2.82 }.
% 2.41/2.82 (33607) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.41/2.82 }.
% 2.41/2.82 (33608) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.41/2.82 (33609) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.41/2.82 }.
% 2.41/2.82 (33610) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.41/2.82 (33611) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.41/2.82 ) }.
% 2.41/2.82 (33612) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.41/2.82 (33613) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.41/2.82 ) }.
% 2.41/2.82 (33614) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.41/2.82 (33615) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.41/2.82 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.41/2.82 (33616) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.41/2.82 totalorderedP( cons( X, Y ) ) }.
% 2.41/2.82 (33617) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.41/2.82 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.41/2.82 (33618) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.41/2.82 (33619) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.41/2.82 (33620) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.41/2.82 }.
% 2.41/2.82 (33621) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.41/2.82 (33622) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.41/2.82 (33623) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.41/2.82 alpha19( X, Y ) }.
% 2.41/2.82 (33624) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.41/2.82 ) ) }.
% 2.41/2.82 (33625) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.41/2.82 (33626) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.41/2.82 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.41/2.82 (33627) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.41/2.82 strictorderedP( cons( X, Y ) ) }.
% 2.41/2.82 (33628) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.41/2.82 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.41/2.82 (33629) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.41/2.82 (33630) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.41/2.82 (33631) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.41/2.82 }.
% 2.41/2.82 (33632) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.41/2.82 (33633) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.41/2.82 (33634) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.41/2.82 alpha20( X, Y ) }.
% 2.41/2.82 (33635) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.41/2.82 ) ) }.
% 2.41/2.82 (33636) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.41/2.82 (33637) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.41/2.82 }.
% 2.41/2.82 (33638) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.41/2.82 (33639) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.41/2.82 ) }.
% 2.41/2.82 (33640) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.41/2.82 ) }.
% 2.41/2.82 (33641) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.41/2.82 ) }.
% 2.41/2.82 (33642) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.41/2.82 ) }.
% 2.41/2.82 (33643) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.41/2.82 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.41/2.82 (33644) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.41/2.82 X ) ) = X }.
% 2.41/2.82 (33645) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.41/2.82 (33646) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.41/2.82 (33647) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.41/2.82 = app( cons( Y, nil ), X ) }.
% 2.41/2.82 (33648) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.41/2.82 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.41/2.82 (33649) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.41/2.82 X, Y ), nil = Y }.
% 2.41/2.82 (33650) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.41/2.82 X, Y ), nil = X }.
% 2.41/2.82 (33651) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.41/2.82 nil = X, nil = app( X, Y ) }.
% 2.41/2.82 (33652) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.41/2.82 (33653) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.41/2.82 app( X, Y ) ) = hd( X ) }.
% 2.41/2.82 (33654) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.41/2.82 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.41/2.82 (33655) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.41/2.82 , ! geq( Y, X ), X = Y }.
% 2.41/2.82 (33656) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.41/2.82 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.41/2.82 (33657) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.41/2.82 (33658) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.41/2.82 (33659) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.41/2.82 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.41/2.82 (33660) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.41/2.82 , X = Y, lt( X, Y ) }.
% 2.41/2.82 (33661) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.41/2.82 , ! X = Y }.
% 2.41/2.82 (33662) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.41/2.82 , leq( X, Y ) }.
% 2.41/2.82 (33663) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.41/2.82 ( X, Y ), lt( X, Y ) }.
% 2.41/2.82 (33664) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.41/2.82 , ! gt( Y, X ) }.
% 2.41/2.82 (33665) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.41/2.82 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.41/2.82 (33666) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.41/2.82 (33667) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.41/2.82 (33668) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.41/2.82 (33669) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.41/2.82 (33670) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.41/2.82 (33671) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.41/2.82 (33672) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP( skol50, X ), !
% 2.41/2.82 memberP( skol51, X ) }.
% 2.41/2.83 (33673) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 2.41/2.83 (33674) {G0,W3,D2,L1,V0,M1} { memberP( skol49, skol52 ) }.
% 2.41/2.83 (33675) {G0,W3,D2,L1,V0,M1} { ! memberP( skol46, skol52 ) }.
% 2.41/2.83
% 2.41/2.83
% 2.41/2.83 Total Proof:
% 2.41/2.83
% 2.41/2.83 eqswap: (34022) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.41/2.83 parent0[0]: (33670) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.41/2.83 parent0: (34022) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 eqswap: (34370) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.41/2.83 parent0[0]: (33671) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.41/2.83 parent0: (34370) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 paramod: (35295) {G1,W8,D2,L3,V1,M3} { memberP( skol46, X ), ! ssItem( X )
% 2.41/2.83 , ! memberP( skol51, X ) }.
% 2.41/2.83 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.41/2.83 parent1[1; 1]: (33672) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), memberP(
% 2.41/2.83 skol50, X ), ! memberP( skol51, X ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 substitution1:
% 2.41/2.83 X := X
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 paramod: (35296) {G1,W8,D2,L3,V1,M3} { ! memberP( skol49, X ), memberP(
% 2.41/2.83 skol46, X ), ! ssItem( X ) }.
% 2.41/2.83 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.41/2.83 parent1[2; 2]: (35295) {G1,W8,D2,L3,V1,M3} { memberP( skol46, X ), !
% 2.41/2.83 ssItem( X ), ! memberP( skol51, X ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 substitution1:
% 2.41/2.83 X := X
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (281) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ),
% 2.41/2.83 memberP( skol46, X ), ! memberP( skol49, X ) }.
% 2.41/2.83 parent0: (35296) {G1,W8,D2,L3,V1,M3} { ! memberP( skol49, X ), memberP(
% 2.41/2.83 skol46, X ), ! ssItem( X ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 X := X
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 2
% 2.41/2.83 1 ==> 1
% 2.41/2.83 2 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 2.41/2.83 parent0: (33673) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 2.41/2.83 parent0: (33674) {G0,W3,D2,L1,V0,M1} { memberP( skol49, skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 2.41/2.83 parent0: (33675) {G0,W3,D2,L1,V0,M1} { ! memberP( skol46, skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 resolution: (36341) {G1,W5,D2,L2,V0,M2} { ! ssItem( skol52 ), memberP(
% 2.41/2.83 skol46, skol52 ) }.
% 2.41/2.83 parent0[2]: (281) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ),
% 2.41/2.83 memberP( skol46, X ), ! memberP( skol49, X ) }.
% 2.41/2.83 parent1[0]: (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 X := skol52
% 2.41/2.83 end
% 2.41/2.83 substitution1:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 resolution: (36342) {G1,W3,D2,L1,V0,M1} { memberP( skol46, skol52 ) }.
% 2.41/2.83 parent0[0]: (36341) {G1,W5,D2,L2,V0,M2} { ! ssItem( skol52 ), memberP(
% 2.41/2.83 skol46, skol52 ) }.
% 2.41/2.83 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 substitution1:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (33352) {G2,W3,D2,L1,V0,M1} R(281,283);r(282) { memberP(
% 2.41/2.83 skol46, skol52 ) }.
% 2.41/2.83 parent0: (36342) {G1,W3,D2,L1,V0,M1} { memberP( skol46, skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 0 ==> 0
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 resolution: (36343) {G1,W0,D0,L0,V0,M0} { }.
% 2.41/2.83 parent0[0]: (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 2.41/2.83 parent1[0]: (33352) {G2,W3,D2,L1,V0,M1} R(281,283);r(282) { memberP( skol46
% 2.41/2.83 , skol52 ) }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 substitution1:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 subsumption: (33388) {G3,W0,D0,L0,V0,M0} S(33352);r(284) { }.
% 2.41/2.83 parent0: (36343) {G1,W0,D0,L0,V0,M0} { }.
% 2.41/2.83 substitution0:
% 2.41/2.83 end
% 2.41/2.83 permutation0:
% 2.41/2.83 end
% 2.41/2.83
% 2.41/2.83 Proof check complete!
% 2.41/2.83
% 2.41/2.83 Memory use:
% 2.41/2.83
% 2.41/2.83 space for terms: 619484
% 2.41/2.83 space for clauses: 1509072
% 2.41/2.83
% 2.41/2.83
% 2.41/2.83 clauses generated: 105130
% 2.41/2.83 clauses kept: 33389
% 2.41/2.83 clauses selected: 1144
% 2.41/2.83 clauses deleted: 2452
% 2.41/2.83 clauses inuse deleted: 63
% 2.41/2.83
% 2.41/2.83 subsentry: 162689
% 2.41/2.83 literals s-matched: 105612
% 2.41/2.83 literals matched: 90216
% 2.41/2.83 full subsumption: 50401
% 2.41/2.83
% 2.41/2.83 checksum: -1764105407
% 2.41/2.83
% 2.41/2.83
% 2.41/2.83 Bliksem ended
%------------------------------------------------------------------------------