TSTP Solution File: SWC035+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC035+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 19:33:11 EDT 2022
% Result : Theorem 0.79s 1.18s
% Output : Refutation 0.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC035+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 23:40:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.79/1.17 *** allocated 10000 integers for termspace/termends
% 0.79/1.17 *** allocated 10000 integers for clauses
% 0.79/1.17 *** allocated 10000 integers for justifications
% 0.79/1.17 Bliksem 1.12
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Automatic Strategy Selection
% 0.79/1.17
% 0.79/1.17 *** allocated 15000 integers for termspace/termends
% 0.79/1.17
% 0.79/1.17 Clauses:
% 0.79/1.17
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.79/1.17 { ssItem( skol1 ) }.
% 0.79/1.17 { ssItem( skol47 ) }.
% 0.79/1.17 { ! skol1 = skol47 }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.79/1.17 }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.79/1.17 Y ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.79/1.17 ( X, Y ) }.
% 0.79/1.17 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.79/1.17 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.79/1.17 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.79/1.17 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.79/1.17 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.79/1.17 ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.79/1.17 ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.79/1.17 ( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.79/1.17 }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.79/1.17 = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.79/1.17 ( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.79/1.17 }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.79/1.17 , Y ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.79/1.17 segmentP( X, Y ) }.
% 0.79/1.17 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.79/1.17 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.79/1.17 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.79/1.17 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.79/1.17 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.79/1.17 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.79/1.17 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.79/1.17 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.79/1.17 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, alpha12( Y, Z ) }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.79/1.17 { leq( X, Y ), alpha12( X, Y ) }.
% 0.79/1.17 { leq( Y, X ), alpha12( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.79/1.17 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.79/1.17 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.79/1.17 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.79/1.17 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.79/1.17 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, alpha13( Y, Z ) }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.79/1.17 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.79/1.17 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.79/1.17 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.79/1.17 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.79/1.17 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.79/1.17 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.79/1.17 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, alpha14( Y, Z ) }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.79/1.17 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.79/1.17 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.79/1.17 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.79/1.17 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.79/1.17 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.79/1.17 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.79/1.17 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, leq( Y, Z ) }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.79/1.17 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.79/1.17 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.79/1.17 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.79/1.17 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.79/1.17 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, lt( Y, Z ) }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.79/1.17 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.79/1.17 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.79/1.17 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.79/1.17 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.79/1.17 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.79/1.17 .
% 0.79/1.17 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.79/1.17 , U ) }.
% 0.79/1.17 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.79/1.17 ) ) = X, ! Y = Z }.
% 0.79/1.17 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.79/1.17 W ) }.
% 0.79/1.17 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.17 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.79/1.17 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.79/1.17 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.79/1.17 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.79/1.17 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.79/1.17 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.79/1.17 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.79/1.17 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.79/1.17 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.79/1.17 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.79/1.17 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.79/1.17 Z }.
% 0.79/1.17 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.79/1.17 { ssList( nil ) }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.79/1.17 ) = cons( T, Y ), Z = T }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.79/1.17 ) = cons( T, Y ), Y = X }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.79/1.17 ( cons( Z, Y ), X ) }.
% 0.79/1.17 { ! ssList( X ), app( nil, X ) = X }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.79/1.17 , leq( X, Z ) }.
% 0.79/1.17 { ! ssItem( X ), leq( X, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.79/1.17 lt( X, Z ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.79/1.17 , memberP( Y, X ), memberP( Z, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.79/1.17 app( Y, Z ), X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.79/1.17 app( Y, Z ), X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.79/1.17 , X = Y, memberP( Z, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.79/1.17 ), X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.79/1.17 cons( Y, Z ), X ) }.
% 0.79/1.17 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.79/1.17 { ! singletonP( nil ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.79/1.17 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.79/1.17 = Y }.
% 0.79/1.17 { ! ssList( X ), frontsegP( X, X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.79/1.17 frontsegP( app( X, Z ), Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.79/1.17 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.79/1.17 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.79/1.17 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.79/1.17 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.79/1.17 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.79/1.17 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.79/1.17 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.79/1.17 Y }.
% 0.79/1.17 { ! ssList( X ), rearsegP( X, X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.79/1.17 ( app( Z, X ), Y ) }.
% 0.79/1.17 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.79/1.17 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.79/1.17 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.79/1.17 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.79/1.17 Y }.
% 0.79/1.17 { ! ssList( X ), segmentP( X, X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.79/1.17 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.79/1.17 { ! ssList( X ), segmentP( X, nil ) }.
% 0.79/1.17 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.79/1.17 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.79/1.17 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.79/1.17 { cyclefreeP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.79/1.17 { totalorderP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.79/1.17 { strictorderP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.79/1.17 { totalorderedP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.79/1.17 alpha10( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.79/1.17 .
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.79/1.17 Y ) ) }.
% 0.79/1.17 { ! alpha10( X, Y ), ! nil = Y }.
% 0.79/1.17 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.79/1.17 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.79/1.17 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.79/1.17 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.79/1.17 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.79/1.17 { strictorderedP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.79/1.17 alpha11( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.79/1.17 .
% 0.79/1.17 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.79/1.17 , Y ) ) }.
% 0.79/1.17 { ! alpha11( X, Y ), ! nil = Y }.
% 0.79/1.17 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.79/1.17 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.79/1.17 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.79/1.17 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.79/1.17 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.79/1.17 { duplicatefreeP( nil ) }.
% 0.79/1.17 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.79/1.17 { equalelemsP( nil ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.79/1.17 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.79/1.17 ( Y ) = tl( X ), Y = X }.
% 0.79/1.17 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.79/1.17 , Z = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.79/1.17 , Z = X }.
% 0.79/1.17 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.79/1.17 ( X, app( Y, Z ) ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.79/1.17 { ! ssList( X ), app( X, nil ) = X }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.79/1.17 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.79/1.17 Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.79/1.17 , geq( X, Z ) }.
% 0.79/1.17 { ! ssItem( X ), geq( X, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! lt( X, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.79/1.17 , lt( X, Z ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.79/1.17 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.79/1.17 gt( X, Z ) }.
% 0.79/1.17 { ssList( skol46 ) }.
% 0.79/1.17 { ssList( skol49 ) }.
% 0.79/1.17 { ssList( skol50 ) }.
% 0.79/1.17 { ssList( skol51 ) }.
% 0.79/1.17 { nil = skol49 }.
% 0.79/1.17 { skol49 = skol51 }.
% 0.79/1.17 { skol46 = skol50 }.
% 0.79/1.17 { skol51 = skol50 }.
% 0.79/1.17 { ! nil = skol46 }.
% 0.79/1.17
% 0.79/1.17 *** allocated 15000 integers for clauses
% 0.79/1.17 percentage equality = 0.131265, percentage horn = 0.760563
% 0.79/1.17 This is a problem with some equality
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17
% 0.79/1.17 Options Used:
% 0.79/1.17
% 0.79/1.17 useres = 1
% 0.79/1.17 useparamod = 1
% 0.79/1.17 useeqrefl = 1
% 0.79/1.17 useeqfact = 1
% 0.79/1.17 usefactor = 1
% 0.79/1.17 usesimpsplitting = 0
% 0.79/1.17 usesimpdemod = 5
% 0.79/1.17 usesimpres = 3
% 0.79/1.17
% 0.79/1.17 resimpinuse = 1000
% 0.79/1.17 resimpclauses = 20000
% 0.79/1.17 substype = eqrewr
% 0.79/1.17 backwardsubs = 1
% 0.79/1.17 selectoldest = 5
% 0.79/1.17
% 0.79/1.17 litorderings [0] = split
% 0.79/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.79/1.17
% 0.79/1.17 termordering = kbo
% 0.79/1.17
% 0.79/1.17 litapriori = 0
% 0.79/1.17 termapriori = 1
% 0.79/1.17 litaposteriori = 0
% 0.79/1.17 termaposteriori = 0
% 0.79/1.17 demodaposteriori = 0
% 0.79/1.17 ordereqreflfact = 0
% 0.79/1.17
% 0.79/1.17 litselect = negord
% 0.79/1.17
% 0.79/1.17 maxweight = 15
% 0.79/1.17 maxdepth = 30000
% 0.79/1.17 maxlength = 115
% 0.79/1.17 maxnrvars = 195
% 0.79/1.17 excuselevel = 1
% 0.79/1.17 increasemaxweight = 1
% 0.79/1.17
% 0.79/1.17 maxselected = 10000000
% 0.79/1.17 maxnrclauses = 10000000
% 0.79/1.17
% 0.79/1.17 showgenerated = 0
% 0.79/1.17 showkept = 0
% 0.79/1.17 showselected = 0
% 0.79/1.17 showdeleted = 0
% 0.79/1.17 showresimp = 1
% 0.79/1.17 showstatus = 2000
% 0.79/1.17
% 0.79/1.17 prologoutput = 0
% 0.79/1.17 nrgoals = 5000000
% 0.79/1.17 totalproof = 1
% 0.79/1.17
% 0.79/1.17 Symbols occurring in the translation:
% 0.79/1.17
% 0.79/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.79/1.17 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.79/1.17 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.79/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.79/1.17 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.79/1.17 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.79/1.17 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.79/1.17 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.79/1.17 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.79/1.17 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.79/1.17 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.79/1.17 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.79/1.17 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.79/1.17 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.79/1.17 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.79/1.17 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.79/1.17 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.79/1.18 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.79/1.18 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.79/1.18 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.79/1.18 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.79/1.18 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.79/1.18 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.79/1.18 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.79/1.18 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.79/1.18 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.79/1.18 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.79/1.18 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.79/1.18 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.79/1.18 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.79/1.18 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.79/1.18 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.79/1.18 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.79/1.18 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.79/1.18 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.79/1.18 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.79/1.18 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.79/1.18 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.79/1.18 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.79/1.18 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.79/1.18 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.79/1.18 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.79/1.18 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.79/1.18 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.79/1.18 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.79/1.18 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.79/1.18 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.79/1.18 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.79/1.18 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.79/1.18 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.79/1.18 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.79/1.18 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.79/1.18 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.79/1.18 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.79/1.18 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.79/1.18 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.79/1.18 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.79/1.18 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.79/1.18 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 0.79/1.18 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.79/1.18 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.79/1.18 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.79/1.18 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.79/1.18 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.79/1.18 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.79/1.18 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 0.79/1.18 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.79/1.18 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.79/1.18 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.79/1.18 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.79/1.18 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.79/1.18 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.79/1.18 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.79/1.18 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.79/1.18 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.79/1.18 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.79/1.18 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.79/1.18 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.79/1.18 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.79/1.18 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.79/1.18 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.79/1.18 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.79/1.18 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.79/1.18 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.79/1.18 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.79/1.18 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.79/1.18 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.79/1.18 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.79/1.18 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.79/1.18 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.79/1.18 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.79/1.18 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.79/1.18 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.79/1.18 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.79/1.18 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.79/1.18 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.79/1.18 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.79/1.18 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.79/1.18 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.79/1.18 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.79/1.18 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.79/1.18 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.79/1.18 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.79/1.18 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.79/1.18 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.79/1.18 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.79/1.18 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.79/1.18 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.79/1.18 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.79/1.18 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.79/1.18 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.79/1.18 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.79/1.18 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.79/1.18 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.79/1.18 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.79/1.18 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.79/1.18 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.79/1.18 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.79/1.18 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.79/1.18 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.79/1.18 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.79/1.18 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Starting Search:
% 0.79/1.18
% 0.79/1.18 *** allocated 22500 integers for clauses
% 0.79/1.18
% 0.79/1.18 Bliksems!, er is een bewijs:
% 0.79/1.18 % SZS status Theorem
% 0.79/1.18 % SZS output start Refutation
% 0.79/1.18
% 0.79/1.18 (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 0.79/1.18 (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 0.79/1.18 (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.18 (282) {G2,W3,D2,L1,V0,M1} I;d(280);d(281) { skol46 ==> nil }.
% 0.79/1.18 (283) {G3,W0,D0,L0,V0,M0} I;d(282);q { }.
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 % SZS output end Refutation
% 0.79/1.18 found a proof!
% 0.79/1.18
% 0.79/1.18 *** allocated 33750 integers for clauses
% 0.79/1.18
% 0.79/1.18 Unprocessed initial clauses:
% 0.79/1.18
% 0.79/1.18 (285) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ),
% 0.79/1.18 ! X = Y }.
% 0.79/1.18 (286) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (287) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.79/1.18 (288) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.79/1.18 (289) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.79/1.18 (290) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.79/1.18 ), ssList( skol2( Z, T ) ) }.
% 0.79/1.18 (291) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.79/1.18 ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.79/1.18 (292) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.79/1.18 (293) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.79/1.18 ) }.
% 0.79/1.18 (294) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3(
% 0.79/1.18 X, Y, Z ) ) ) = X }.
% 0.79/1.18 (295) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X,
% 0.79/1.18 alpha1( X, Y, Z ) }.
% 0.79/1.18 (296) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.79/1.18 skol4( Y ) ) }.
% 0.79/1.18 (297) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons( skol4
% 0.79/1.18 ( X ), nil ) = X }.
% 0.79/1.18 (298) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.79/1.18 ) = X, singletonP( X ) }.
% 0.79/1.18 (299) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.79/1.18 , Y ), ssList( skol5( Z, T ) ) }.
% 0.79/1.18 (300) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.79/1.18 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.79/1.18 (301) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.79/1.18 (302) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.79/1.18 Y ), ssList( skol6( Z, T ) ) }.
% 0.79/1.18 (303) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.79/1.18 Y ), app( skol6( X, Y ), Y ) = X }.
% 0.79/1.18 (304) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.79/1.18 (305) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.79/1.18 Y ), ssList( skol7( Z, T ) ) }.
% 0.79/1.18 (306) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.79/1.18 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.79/1.18 (307) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.79/1.18 (308) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.79/1.18 ) }.
% 0.79/1.18 (309) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.79/1.18 ( X, Y, Z ) ) = X }.
% 0.79/1.18 (310) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.79/1.18 alpha2( X, Y, Z ) }.
% 0.79/1.18 (311) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.79/1.18 ), alpha3( X, Y ) }.
% 0.79/1.18 (312) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.79/1.18 cyclefreeP( X ) }.
% 0.79/1.18 (313) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.79/1.18 cyclefreeP( X ) }.
% 0.79/1.18 (314) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (315) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.79/1.18 (316) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (317) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (318) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (319) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.79/1.18 alpha21( X, Y, Z ) }.
% 0.79/1.18 (320) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha35( X, Y, Z, T, U ) }.
% 0.79/1.18 (321) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (322) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) )
% 0.79/1.18 , alpha28( X, Y, Z, T ) }.
% 0.79/1.18 (323) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (324) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha35( X, Y, Z, T, U ) }.
% 0.79/1.18 (325) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.79/1.18 (326) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.79/1.18 (327) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha41( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (328) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.79/1.18 ) }.
% 0.79/1.18 (329) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.79/1.18 ) }.
% 0.79/1.18 (330) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.79/1.18 (331) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.79/1.18 (332) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y
% 0.79/1.18 ), alpha4( X, Y ) }.
% 0.79/1.18 (333) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.79/1.18 totalorderP( X ) }.
% 0.79/1.18 (334) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.79/1.18 totalorderP( X ) }.
% 0.79/1.18 (335) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (336) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.79/1.18 (337) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (338) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (339) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (340) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.79/1.18 alpha22( X, Y, Z ) }.
% 0.79/1.18 (341) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha36( X, Y, Z, T, U ) }.
% 0.79/1.18 (342) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (343) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) )
% 0.79/1.18 , alpha29( X, Y, Z, T ) }.
% 0.79/1.18 (344) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (345) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha36( X, Y, Z, T, U ) }.
% 0.79/1.18 (346) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.79/1.18 (347) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.79/1.18 (348) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha42( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (349) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.79/1.18 ) }.
% 0.79/1.18 (350) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.79/1.18 }.
% 0.79/1.18 (351) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.79/1.18 (352) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.79/1.18 (353) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem(
% 0.79/1.18 Y ), alpha5( X, Y ) }.
% 0.79/1.18 (354) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.79/1.18 strictorderP( X ) }.
% 0.79/1.18 (355) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.79/1.18 strictorderP( X ) }.
% 0.79/1.18 (356) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (357) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.79/1.18 (358) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (359) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (360) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (361) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.79/1.18 alpha23( X, Y, Z ) }.
% 0.79/1.18 (362) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha37( X, Y, Z, T, U ) }.
% 0.79/1.18 (363) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (364) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) )
% 0.79/1.18 , alpha30( X, Y, Z, T ) }.
% 0.79/1.18 (365) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (366) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha37( X, Y, Z, T, U ) }.
% 0.79/1.18 (367) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.79/1.18 (368) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.79/1.18 (369) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha43( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (370) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.79/1.18 ) }.
% 0.79/1.18 (371) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.79/1.18 (372) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.79/1.18 (373) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.79/1.18 (374) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.79/1.18 ( Y ), alpha6( X, Y ) }.
% 0.79/1.18 (375) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.79/1.18 totalorderedP( X ) }.
% 0.79/1.18 (376) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.79/1.18 totalorderedP( X ) }.
% 0.79/1.18 (377) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (378) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.79/1.18 (379) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (380) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (381) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (382) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.79/1.18 alpha15( X, Y, Z ) }.
% 0.79/1.18 (383) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha31( X, Y, Z, T, U ) }.
% 0.79/1.18 (384) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (385) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) )
% 0.79/1.18 , alpha24( X, Y, Z, T ) }.
% 0.79/1.18 (386) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (387) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha31( X, Y, Z, T, U ) }.
% 0.79/1.18 (388) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.79/1.18 (389) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.79/1.18 (390) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha38( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (391) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.79/1.18 }.
% 0.79/1.18 (392) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), ! ssItem
% 0.79/1.18 ( Y ), alpha7( X, Y ) }.
% 0.79/1.18 (393) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.79/1.18 strictorderedP( X ) }.
% 0.79/1.18 (394) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.79/1.18 strictorderedP( X ) }.
% 0.79/1.18 (395) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (396) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.79/1.18 (397) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (398) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (399) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (400) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.79/1.18 alpha16( X, Y, Z ) }.
% 0.79/1.18 (401) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha32( X, Y, Z, T, U ) }.
% 0.79/1.18 (402) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (403) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) )
% 0.79/1.18 , alpha25( X, Y, Z, T ) }.
% 0.79/1.18 (404) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (405) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha32( X, Y, Z, T, U ) }.
% 0.79/1.18 (406) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.79/1.18 (407) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.79/1.18 (408) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (409) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (410) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem
% 0.79/1.18 ( Y ), alpha8( X, Y ) }.
% 0.79/1.18 (411) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.79/1.18 duplicatefreeP( X ) }.
% 0.79/1.18 (412) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.79/1.18 duplicatefreeP( X ) }.
% 0.79/1.18 (413) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (414) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.79/1.18 (415) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (416) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (417) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (418) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.79/1.18 alpha17( X, Y, Z ) }.
% 0.79/1.18 (419) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha33( X, Y, Z, T, U ) }.
% 0.79/1.18 (420) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (421) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) )
% 0.79/1.18 , alpha26( X, Y, Z, T ) }.
% 0.79/1.18 (422) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.79/1.18 alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (423) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.79/1.18 alpha33( X, Y, Z, T, U ) }.
% 0.79/1.18 (424) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.79/1.18 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.79/1.18 (425) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.79/1.18 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.79/1.18 (426) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.79/1.18 X, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (427) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.79/1.18 (428) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y
% 0.79/1.18 ), alpha9( X, Y ) }.
% 0.79/1.18 (429) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.79/1.18 equalelemsP( X ) }.
% 0.79/1.18 (430) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.79/1.18 equalelemsP( X ) }.
% 0.79/1.18 (431) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y
% 0.79/1.18 , Z ) }.
% 0.79/1.18 (432) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.79/1.18 (433) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (434) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.79/1.18 ( X, Y, Z, T ) }.
% 0.79/1.18 (435) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.79/1.18 ) }.
% 0.79/1.18 (436) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.79/1.18 alpha18( X, Y, Z ) }.
% 0.79/1.18 (437) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.79/1.18 alpha34( X, Y, Z, T, U ) }.
% 0.79/1.18 (438) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.79/1.18 , Y, Z, T ) }.
% 0.79/1.18 (439) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) )
% 0.79/1.18 , alpha27( X, Y, Z, T ) }.
% 0.79/1.18 (440) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y
% 0.79/1.18 , cons( Z, U ) ) ) = X, Y = Z }.
% 0.79/1.18 (441) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.79/1.18 alpha34( X, Y, Z, T, U ) }.
% 0.79/1.18 (442) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.79/1.18 (443) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ),
% 0.79/1.18 ! X = Y }.
% 0.79/1.18 (444) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X,
% 0.79/1.18 Y ) }.
% 0.79/1.18 (445) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.79/1.18 , X ) ) }.
% 0.79/1.18 (446) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.79/1.18 (447) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) =
% 0.79/1.18 X }.
% 0.79/1.18 (448) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.79/1.18 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.79/1.18 (449) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.79/1.18 ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.79/1.18 (450) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.79/1.18 }.
% 0.79/1.18 (451) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.79/1.18 }.
% 0.79/1.18 (452) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.79/1.18 skol43( X ) ) = X }.
% 0.79/1.18 (453) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.79/1.18 , X ) }.
% 0.79/1.18 (454) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.79/1.18 (455) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.79/1.18 ) ) = Y }.
% 0.79/1.18 (456) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.79/1.18 (457) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.79/1.18 ) ) = X }.
% 0.79/1.18 (458) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X,
% 0.79/1.18 Y ) ) }.
% 0.79/1.18 (459) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ),
% 0.79/1.18 cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.79/1.18 (460) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.79/1.18 (461) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.79/1.18 ! leq( Y, X ), X = Y }.
% 0.79/1.18 (462) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.79/1.18 ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.79/1.18 (463) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.79/1.18 (464) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.79/1.18 leq( Y, X ) }.
% 0.79/1.18 (465) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ),
% 0.79/1.18 geq( X, Y ) }.
% 0.79/1.18 (466) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.79/1.18 lt( Y, X ) }.
% 0.79/1.18 (467) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.79/1.18 ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.79/1.18 (468) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.79/1.18 lt( Y, X ) }.
% 0.79/1.18 (469) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.79/1.18 gt( X, Y ) }.
% 0.79/1.18 (470) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.79/1.18 (471) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.79/1.18 (472) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.79/1.18 (473) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.79/1.18 (474) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.79/1.18 (475) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.79/1.18 (476) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.79/1.18 (477) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.79/1.18 (478) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.79/1.18 (479) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.79/1.18 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.79/1.18 (480) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.79/1.18 (481) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.79/1.18 (482) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.79/1.18 (483) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T
% 0.79/1.18 ) }.
% 0.79/1.18 (484) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.79/1.18 ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.79/1.18 cons( Y, T ) ) }.
% 0.79/1.18 (485) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.79/1.18 (486) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.79/1.18 }.
% 0.79/1.18 (487) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.79/1.18 }.
% 0.79/1.18 (488) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.79/1.18 (489) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.79/1.18 Y ), ! rearsegP( Y, X ), X = Y }.
% 0.79/1.18 (490) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.79/1.18 (491) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.79/1.18 (492) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.79/1.18 (493) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.79/1.18 }.
% 0.79/1.18 (494) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.79/1.18 }.
% 0.79/1.18 (495) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.79/1.18 (496) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.79/1.18 Y ), ! segmentP( Y, X ), X = Y }.
% 0.79/1.18 (497) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.79/1.18 (498) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.79/1.18 }.
% 0.79/1.18 (499) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.79/1.18 (500) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.79/1.18 }.
% 0.79/1.18 (501) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.79/1.18 }.
% 0.79/1.18 (502) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.79/1.18 }.
% 0.79/1.18 (503) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.79/1.18 (504) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.79/1.18 }.
% 0.79/1.18 (505) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.79/1.18 (506) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.79/1.18 }.
% 0.79/1.18 (507) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.79/1.18 (508) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil ) )
% 0.79/1.18 }.
% 0.79/1.18 (509) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.79/1.18 (510) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), ! totalorderedP
% 0.79/1.18 ( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.79/1.18 (511) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.79/1.18 totalorderedP( cons( X, Y ) ) }.
% 0.79/1.18 (512) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y
% 0.79/1.18 ), totalorderedP( cons( X, Y ) ) }.
% 0.79/1.18 (513) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.79/1.18 (514) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.79/1.18 (515) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.79/1.18 }.
% 0.79/1.18 (516) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.79/1.18 (517) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.79/1.18 (518) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.79/1.18 alpha19( X, Y ) }.
% 0.79/1.18 (519) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.79/1.18 ) }.
% 0.79/1.18 (520) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.79/1.18 (521) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.79/1.18 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.79/1.18 (522) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.79/1.18 strictorderedP( cons( X, Y ) ) }.
% 0.79/1.18 (523) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y
% 0.79/1.18 ), strictorderedP( cons( X, Y ) ) }.
% 0.79/1.18 (524) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.79/1.18 (525) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.79/1.18 (526) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.79/1.18 }.
% 0.79/1.18 (527) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.79/1.18 (528) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.79/1.18 (529) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.79/1.18 alpha20( X, Y ) }.
% 0.79/1.18 (530) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.79/1.18 ) }.
% 0.79/1.18 (531) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.79/1.18 (532) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.79/1.18 }.
% 0.79/1.18 (533) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.79/1.18 (534) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.79/1.18 }.
% 0.79/1.18 (535) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X )
% 0.79/1.18 }.
% 0.79/1.18 (536) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.79/1.18 }.
% 0.79/1.18 (537) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X )
% 0.79/1.18 }.
% 0.79/1.18 (538) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.79/1.18 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.79/1.18 (539) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.79/1.18 ) ) = X }.
% 0.79/1.18 (540) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.79/1.18 (541) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.79/1.18 (542) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.79/1.18 app( cons( Y, nil ), X ) }.
% 0.79/1.18 (543) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.79/1.18 app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.79/1.18 (544) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.79/1.18 , Y ), nil = Y }.
% 0.79/1.18 (545) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.79/1.18 , Y ), nil = X }.
% 0.79/1.18 (546) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.79/1.18 nil = X, nil = app( X, Y ) }.
% 0.79/1.18 (547) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.79/1.18 (548) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.79/1.18 app( X, Y ) ) = hd( X ) }.
% 0.79/1.18 (549) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.79/1.18 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.79/1.18 (550) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ),
% 0.79/1.18 ! geq( Y, X ), X = Y }.
% 0.79/1.18 (551) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.79/1.18 ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.79/1.18 (552) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.79/1.18 (553) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.79/1.18 (554) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.79/1.18 ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.79/1.18 (555) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ),
% 0.79/1.18 X = Y, lt( X, Y ) }.
% 0.79/1.18 (556) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), !
% 0.79/1.18 X = Y }.
% 0.79/1.18 (557) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.79/1.18 leq( X, Y ) }.
% 0.79/1.18 (558) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X
% 0.79/1.18 , Y ), lt( X, Y ) }.
% 0.79/1.18 (559) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), !
% 0.79/1.18 gt( Y, X ) }.
% 0.79/1.18 (560) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ),
% 0.79/1.18 ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.79/1.18 (561) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.79/1.18 (562) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.79/1.18 (563) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.79/1.18 (564) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.79/1.18 (565) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 0.79/1.18 (566) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.79/1.18 (567) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.79/1.18 (568) {G0,W3,D2,L1,V0,M1} { skol51 = skol50 }.
% 0.79/1.18 (569) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 0.79/1.18
% 0.79/1.18
% 0.79/1.18 Total Proof:
% 0.79/1.18
% 0.79/1.18 *** allocated 22500 integers for termspace/termends
% 0.79/1.18 eqswap: (916) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 0.79/1.18 parent0[0]: (565) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 0.79/1.18 substitution0:
% 0.79/1.18 end
% 0.79/1.18
% 0.79/1.18 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 0.79/1.18 parent0: (916) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 0.79/1.18 substitution0:
% 0.79/1.20 end
% 0.79/1.20 permutation0:
% 0.79/1.20 0 ==> 0
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 *** allocated 50625 integers for clauses
% 0.79/1.20 *** allocated 33750 integers for termspace/termends
% 0.79/1.20 paramod: (1557) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 0.79/1.20 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 0.79/1.20 parent1[0; 1]: (566) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 substitution1:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 eqswap: (1558) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 0.79/1.20 parent0[0]: (1557) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 subsumption: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 0.79/1.20 parent0: (1558) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 permutation0:
% 0.79/1.20 0 ==> 0
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 *** allocated 75937 integers for clauses
% 0.79/1.20 eqswap: (1907) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.79/1.20 parent0[0]: (567) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.20 parent0: (1907) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 permutation0:
% 0.79/1.20 0 ==> 0
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 *** allocated 50625 integers for termspace/termends
% 0.79/1.20 paramod: (2836) {G1,W3,D2,L1,V0,M1} { nil = skol50 }.
% 0.79/1.20 parent0[0]: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 0.79/1.20 parent1[0; 1]: (568) {G0,W3,D2,L1,V0,M1} { skol51 = skol50 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 substitution1:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 paramod: (2837) {G1,W3,D2,L1,V0,M1} { nil = skol46 }.
% 0.79/1.20 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.79/1.20 parent1[0; 2]: (2836) {G1,W3,D2,L1,V0,M1} { nil = skol50 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 substitution1:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 eqswap: (2838) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.79/1.20 parent0[0]: (2837) {G1,W3,D2,L1,V0,M1} { nil = skol46 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 subsumption: (282) {G2,W3,D2,L1,V0,M1} I;d(280);d(281) { skol46 ==> nil }.
% 0.79/1.20 parent0: (2838) {G1,W3,D2,L1,V0,M1} { skol46 = nil }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 permutation0:
% 0.79/1.20 0 ==> 0
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 *** allocated 113905 integers for clauses
% 0.79/1.20 paramod: (3485) {G1,W3,D2,L1,V0,M1} { ! nil = nil }.
% 0.79/1.20 parent0[0]: (282) {G2,W3,D2,L1,V0,M1} I;d(280);d(281) { skol46 ==> nil }.
% 0.79/1.20 parent1[0; 3]: (569) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 substitution1:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 eqrefl: (3486) {G0,W0,D0,L0,V0,M0} { }.
% 0.79/1.20 parent0[0]: (3485) {G1,W3,D2,L1,V0,M1} { ! nil = nil }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 subsumption: (283) {G3,W0,D0,L0,V0,M0} I;d(282);q { }.
% 0.79/1.20 parent0: (3486) {G0,W0,D0,L0,V0,M0} { }.
% 0.79/1.20 substitution0:
% 0.79/1.20 end
% 0.79/1.20 permutation0:
% 0.79/1.20 end
% 0.79/1.20
% 0.79/1.20 Proof check complete!
% 0.79/1.20
% 0.79/1.20 Memory use:
% 0.79/1.20
% 0.79/1.20 space for terms: 10023
% 0.79/1.20 space for clauses: 17544
% 0.79/1.20
% 0.79/1.20
% 0.79/1.20 clauses generated: 285
% 0.79/1.20 clauses kept: 284
% 0.79/1.20 clauses selected: 0
% 0.79/1.20 clauses deleted: 0
% 0.79/1.20 clauses inuse deleted: 0
% 0.79/1.20
% 0.79/1.20 subsentry: 15278
% 0.79/1.20 literals s-matched: 7835
% 0.79/1.20 literals matched: 7010
% 0.79/1.20 full subsumption: 4142
% 0.79/1.20
% 0.79/1.20 checksum: 1278169409
% 0.79/1.20
% 0.79/1.20
% 0.79/1.20 Bliksem ended
%------------------------------------------------------------------------------