TSTP Solution File: SWC006+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC006+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 19:32:54 EDT 2022
% Result : Theorem 4.58s 4.97s
% Output : Refutation 4.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SWC006+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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 19:11:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 *** allocated 15000 integers for termspace/termends
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.11 { ssItem( skol1 ) }.
% 0.72/1.11 { ssItem( skol47 ) }.
% 0.72/1.11 { ! skol1 = skol47 }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.11 }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.11 Y ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.11 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.11 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.11 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.11 ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.11 ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.11 }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.11 = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.11 ( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.11 }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.11 , Y ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.11 segmentP( X, Y ) }.
% 0.72/1.11 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.11 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.11 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.11 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.11 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.11 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.11 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.11 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.11 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.11 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.11 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.11 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.11 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.11 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.11 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.11 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.11 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.11 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.11 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.11 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.11 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.11 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.11 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.11 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.11 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.11 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.11 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.11 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.11 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.11 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, leq( Y, Z ) }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.11 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.11 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.11 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.11 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.11 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, lt( Y, Z ) }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.11 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.11 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.11 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.11 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.11 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.11 .
% 0.72/1.11 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.11 , U ) }.
% 0.72/1.11 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.11 ) ) = X, ! Y = Z }.
% 0.72/1.11 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.11 W ) }.
% 0.72/1.11 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.11 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.11 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.11 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.11 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.11 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.11 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.11 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.11 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.11 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.11 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.11 Z }.
% 0.72/1.11 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.11 { ssList( nil ) }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.11 ) = cons( T, Y ), Z = T }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.11 ) = cons( T, Y ), Y = X }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.11 ( cons( Z, Y ), X ) }.
% 0.72/1.11 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.11 , leq( X, Z ) }.
% 0.72/1.11 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.11 lt( X, Z ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.11 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.11 app( Y, Z ), X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.11 app( Y, Z ), X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.11 , X = Y, memberP( Z, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.11 ), X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.11 cons( Y, Z ), X ) }.
% 0.72/1.11 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.11 { ! singletonP( nil ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.11 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.11 = Y }.
% 0.72/1.11 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.11 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.11 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.11 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.11 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.11 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.11 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.11 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.11 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.11 Y }.
% 0.72/1.11 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.11 ( app( Z, X ), Y ) }.
% 0.72/1.11 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.11 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.11 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.11 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.11 Y }.
% 0.72/1.11 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.11 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.11 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.11 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.11 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.11 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.11 { cyclefreeP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.11 { totalorderP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.11 { strictorderP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.11 { totalorderedP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.11 alpha10( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.11 .
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.11 Y ) ) }.
% 0.72/1.11 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.11 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.11 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.11 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.11 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.11 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.11 { strictorderedP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.11 alpha11( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.11 .
% 0.72/1.11 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.11 , Y ) ) }.
% 0.72/1.11 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.11 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.11 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.11 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.11 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.11 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.11 { duplicatefreeP( nil ) }.
% 0.72/1.11 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.11 { equalelemsP( nil ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.11 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.11 ( Y ) = tl( X ), Y = X }.
% 0.72/1.11 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.11 , Z = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.11 , Z = X }.
% 0.72/1.11 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.11 ( X, app( Y, Z ) ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.11 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.11 Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.11 , geq( X, Z ) }.
% 0.72/1.11 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.11 , lt( X, Z ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.11 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.11 gt( X, Z ) }.
% 0.72/1.11 { ssList( skol46 ) }.
% 0.72/1.11 { ssList( skol49 ) }.
% 0.72/1.11 { ssList( skol50 ) }.
% 0.72/1.11 { ssList( skol51 ) }.
% 0.72/1.11 { skol49 = skol51 }.
% 0.72/1.11 { skol46 = skol50 }.
% 0.72/1.11 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( app( X, Y ), Z ) =
% 0.72/1.11 skol49, ! app( X, Z ) = skol46 }.
% 0.72/1.11 { ssList( skol52 ) }.
% 0.72/1.11 { ssList( skol53 ) }.
% 0.72/1.11 { ssList( skol54 ) }.
% 0.72/1.11 { app( app( skol52, skol53 ), skol54 ) = skol51 }.
% 0.72/1.11 { app( skol52, skol54 ) = skol50 }.
% 0.72/1.11
% 0.72/1.11 *** allocated 15000 integers for clauses
% 0.72/1.11 percentage equality = 0.131361, percentage horn = 0.763066
% 0.72/1.11 This is a problem with some equality
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Options Used:
% 0.72/1.11
% 0.72/1.11 useres = 1
% 0.72/1.11 useparamod = 1
% 0.72/1.11 useeqrefl = 1
% 0.72/1.11 useeqfact = 1
% 0.72/1.11 usefactor = 1
% 0.72/1.11 usesimpsplitting = 0
% 0.72/1.11 usesimpdemod = 5
% 0.72/1.11 usesimpres = 3
% 0.72/1.11
% 0.72/1.11 resimpinuse = 1000
% 0.72/1.11 resimpclauses = 20000
% 0.72/1.11 substype = eqrewr
% 0.72/1.11 backwardsubs = 1
% 0.72/1.11 selectoldest = 5
% 0.72/1.11
% 0.72/1.11 litorderings [0] = split
% 0.72/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.11
% 0.72/1.11 termordering = kbo
% 0.72/1.11
% 0.72/1.11 litapriori = 0
% 0.72/1.11 termapriori = 1
% 0.72/1.11 litaposteriori = 0
% 0.72/1.11 termaposteriori = 0
% 0.72/1.11 demodaposteriori = 0
% 0.72/1.11 ordereqreflfact = 0
% 0.72/1.11
% 0.72/1.11 litselect = negord
% 0.72/1.11
% 0.72/1.11 maxweight = 15
% 0.72/1.11 maxdepth = 30000
% 0.72/1.11 maxlength = 115
% 0.72/1.11 maxnrvars = 195
% 0.72/1.11 excuselevel = 1
% 0.72/1.11 increasemaxweight = 1
% 0.72/1.11
% 0.72/1.11 maxselected = 10000000
% 0.72/1.11 maxnrclauses = 10000000
% 0.72/1.11
% 0.72/1.11 showgenerated = 0
% 0.72/1.11 showkept = 0
% 0.72/1.11 showselected = 0
% 0.72/1.11 showdeleted = 0
% 0.72/1.11 showresimp = 1
% 0.72/1.11 showstatus = 2000
% 0.72/1.11
% 0.72/1.11 prologoutput = 0
% 0.72/1.11 nrgoals = 5000000
% 0.72/1.11 totalproof = 1
% 0.72/1.11
% 0.72/1.11 Symbols occurring in the translation:
% 0.72/1.11
% 0.72/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.11 . [1, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.11 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.72/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.11 ssItem [36, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.11 neq [38, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.11 ssList [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.11 memberP [40, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.11 cons [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.11 app [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.11 singletonP [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.11 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.11 frontsegP [47, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.27/1.68 rearsegP [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.27/1.68 segmentP [49, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.27/1.68 cyclefreeP [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.27/1.68 leq [53, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.27/1.68 totalorderP [54, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.27/1.68 strictorderP [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.27/1.68 lt [56, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.27/1.68 totalorderedP [57, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.27/1.68 strictorderedP [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.27/1.68 duplicatefreeP [59, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.27/1.68 equalelemsP [60, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.27/1.68 hd [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.27/1.68 tl [62, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.27/1.68 geq [63, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.27/1.68 gt [64, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.27/1.68 alpha1 [69, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.27/1.68 alpha2 [70, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.27/1.68 alpha3 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.27/1.68 alpha4 [72, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.27/1.68 alpha5 [73, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.27/1.68 alpha6 [74, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.27/1.68 alpha7 [75, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.27/1.68 alpha8 [76, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.27/1.68 alpha9 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.27/1.68 alpha10 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.27/1.68 alpha11 [79, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.27/1.68 alpha12 [80, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.27/1.68 alpha13 [81, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.27/1.68 alpha14 [82, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.27/1.68 alpha15 [83, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.27/1.68 alpha16 [84, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.27/1.68 alpha17 [85, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.27/1.68 alpha18 [86, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.27/1.68 alpha19 [87, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.27/1.68 alpha20 [88, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.27/1.68 alpha21 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.27/1.68 alpha22 [90, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.27/1.68 alpha23 [91, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.27/1.68 alpha24 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.27/1.68 alpha25 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.27/1.68 alpha26 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.27/1.68 alpha27 [95, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.27/1.68 alpha28 [96, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.27/1.68 alpha29 [97, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.27/1.68 alpha30 [98, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.27/1.68 alpha31 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.27/1.68 alpha32 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.27/1.68 alpha33 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.27/1.68 alpha34 [102, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.27/1.68 alpha35 [103, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.27/1.68 alpha36 [104, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.27/1.68 alpha37 [105, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.27/1.68 alpha38 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.27/1.68 alpha39 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.27/1.68 alpha40 [108, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.27/1.68 alpha41 [109, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.27/1.68 alpha42 [110, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.27/1.68 alpha43 [111, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.27/1.68 skol1 [112, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.27/1.68 skol2 [113, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.27/1.68 skol3 [114, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.27/1.68 skol4 [115, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.27/1.68 skol5 [116, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.27/1.68 skol6 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.27/1.68 skol7 [118, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.27/1.68 skol8 [119, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.27/1.68 skol9 [120, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.27/1.68 skol10 [121, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.27/1.68 skol11 [122, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.27/1.68 skol12 [123, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.27/1.68 skol13 [124, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.27/1.68 skol14 [125, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.27/1.68 skol15 [126, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.27/1.68 skol16 [127, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.27/1.68 skol17 [128, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.27/1.68 skol18 [129, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.27/1.68 skol19 [130, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.27/1.68 skol20 [131, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.27/1.68 skol21 [132, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.27/1.68 skol22 [133, 4] (w:1, o:142, a:1, s:1, b:1),
% 4.58/4.97 skol23 [134, 5] (w:1, o:156, a:1, s:1, b:1),
% 4.58/4.97 skol24 [135, 1] (w:1, o:43, a:1, s:1, b:1),
% 4.58/4.97 skol25 [136, 2] (w:1, o:112, a:1, s:1, b:1),
% 4.58/4.97 skol26 [137, 3] (w:1, o:125, a:1, s:1, b:1),
% 4.58/4.97 skol27 [138, 4] (w:1, o:143, a:1, s:1, b:1),
% 4.58/4.97 skol28 [139, 5] (w:1, o:157, a:1, s:1, b:1),
% 4.58/4.97 skol29 [140, 1] (w:1, o:44, a:1, s:1, b:1),
% 4.58/4.97 skol30 [141, 2] (w:1, o:113, a:1, s:1, b:1),
% 4.58/4.97 skol31 [142, 3] (w:1, o:130, a:1, s:1, b:1),
% 4.58/4.97 skol32 [143, 4] (w:1, o:144, a:1, s:1, b:1),
% 4.58/4.97 skol33 [144, 5] (w:1, o:158, a:1, s:1, b:1),
% 4.58/4.97 skol34 [145, 1] (w:1, o:37, a:1, s:1, b:1),
% 4.58/4.97 skol35 [146, 2] (w:1, o:114, a:1, s:1, b:1),
% 4.58/4.97 skol36 [147, 3] (w:1, o:131, a:1, s:1, b:1),
% 4.58/4.97 skol37 [148, 4] (w:1, o:145, a:1, s:1, b:1),
% 4.58/4.97 skol38 [149, 5] (w:1, o:159, a:1, s:1, b:1),
% 4.58/4.97 skol39 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 4.58/4.97 skol40 [151, 2] (w:1, o:107, a:1, s:1, b:1),
% 4.58/4.97 skol41 [152, 3] (w:1, o:132, a:1, s:1, b:1),
% 4.58/4.97 skol42 [153, 4] (w:1, o:146, a:1, s:1, b:1),
% 4.58/4.97 skol43 [154, 1] (w:1, o:45, a:1, s:1, b:1),
% 4.58/4.97 skol44 [155, 1] (w:1, o:46, a:1, s:1, b:1),
% 4.58/4.97 skol45 [156, 1] (w:1, o:47, a:1, s:1, b:1),
% 4.58/4.97 skol46 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 4.58/4.97 skol47 [158, 0] (w:1, o:19, a:1, s:1, b:1),
% 4.58/4.97 skol48 [159, 1] (w:1, o:48, a:1, s:1, b:1),
% 4.58/4.97 skol49 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 4.58/4.97 skol50 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 4.58/4.97 skol51 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 4.58/4.97 skol52 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 4.58/4.97 skol53 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 4.58/4.97 skol54 [165, 0] (w:1, o:25, a:1, s:1, b:1).
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Starting Search:
% 4.58/4.97
% 4.58/4.97 *** allocated 22500 integers for clauses
% 4.58/4.97 *** allocated 33750 integers for clauses
% 4.58/4.97 *** allocated 50625 integers for clauses
% 4.58/4.97 *** allocated 22500 integers for termspace/termends
% 4.58/4.97 *** allocated 75937 integers for clauses
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 33750 integers for termspace/termends
% 4.58/4.97 *** allocated 113905 integers for clauses
% 4.58/4.97 *** allocated 50625 integers for termspace/termends
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 3582
% 4.58/4.97 Kept: 2001
% 4.58/4.97 Inuse: 207
% 4.58/4.97 Deleted: 7
% 4.58/4.97 Deletedinuse: 0
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 170857 integers for clauses
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 75937 integers for termspace/termends
% 4.58/4.97 *** allocated 256285 integers for clauses
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 7151
% 4.58/4.97 Kept: 4027
% 4.58/4.97 Inuse: 348
% 4.58/4.97 Deleted: 11
% 4.58/4.97 Deletedinuse: 4
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 113905 integers for termspace/termends
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 384427 integers for clauses
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 10592
% 4.58/4.97 Kept: 6066
% 4.58/4.97 Inuse: 487
% 4.58/4.97 Deleted: 11
% 4.58/4.97 Deletedinuse: 4
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 170857 integers for termspace/termends
% 4.58/4.97 *** allocated 576640 integers for clauses
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 14616
% 4.58/4.97 Kept: 8067
% 4.58/4.97 Inuse: 585
% 4.58/4.97 Deleted: 11
% 4.58/4.97 Deletedinuse: 4
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 256285 integers for termspace/termends
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 19675
% 4.58/4.97 Kept: 11309
% 4.58/4.97 Inuse: 674
% 4.58/4.97 Deleted: 11
% 4.58/4.97 Deletedinuse: 4
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 864960 integers for clauses
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 25131
% 4.58/4.97 Kept: 13482
% 4.58/4.97 Inuse: 744
% 4.58/4.97 Deleted: 11
% 4.58/4.97 Deletedinuse: 4
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 34909
% 4.58/4.97 Kept: 15658
% 4.58/4.97 Inuse: 779
% 4.58/4.97 Deleted: 14
% 4.58/4.97 Deletedinuse: 7
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 384427 integers for termspace/termends
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 40690
% 4.58/4.97 Kept: 17834
% 4.58/4.97 Inuse: 822
% 4.58/4.97 Deleted: 54
% 4.58/4.97 Deletedinuse: 45
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 1297440 integers for clauses
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 50969
% 4.58/4.97 Kept: 20235
% 4.58/4.97 Inuse: 870
% 4.58/4.97 Deleted: 82
% 4.58/4.97 Deletedinuse: 51
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying clauses:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 576640 integers for termspace/termends
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 61401
% 4.58/4.97 Kept: 22253
% 4.58/4.97 Inuse: 904
% 4.58/4.97 Deleted: 2646
% 4.58/4.97 Deletedinuse: 54
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 74407
% 4.58/4.97 Kept: 24665
% 4.58/4.97 Inuse: 940
% 4.58/4.97 Deleted: 2650
% 4.58/4.97 Deletedinuse: 58
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 88017
% 4.58/4.97 Kept: 26823
% 4.58/4.97 Inuse: 969
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 1946160 integers for clauses
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 97645
% 4.58/4.97 Kept: 29241
% 4.58/4.97 Inuse: 1014
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 104842
% 4.58/4.97 Kept: 31317
% 4.58/4.97 Inuse: 1039
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 *** allocated 864960 integers for termspace/termends
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 123679
% 4.58/4.97 Kept: 33372
% 4.58/4.97 Inuse: 1066
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 130432
% 4.58/4.97 Kept: 35602
% 4.58/4.97 Inuse: 1079
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 138790
% 4.58/4.97 Kept: 37643
% 4.58/4.97 Inuse: 1094
% 4.58/4.97 Deleted: 2658
% 4.58/4.97 Deletedinuse: 60
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 152257
% 4.58/4.97 Kept: 39645
% 4.58/4.97 Inuse: 1119
% 4.58/4.97 Deleted: 2664
% 4.58/4.97 Deletedinuse: 66
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying clauses:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 160446
% 4.58/4.97 Kept: 41669
% 4.58/4.97 Inuse: 1133
% 4.58/4.97 Deleted: 4090
% 4.58/4.97 Deletedinuse: 66
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97 Resimplifying inuse:
% 4.58/4.97 Done
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Intermediate Status:
% 4.58/4.97 Generated: 168734
% 4.58/4.97 Kept: 43825
% 4.58/4.97 Inuse: 1162
% 4.58/4.97 Deleted: 4130
% 4.58/4.97 Deletedinuse: 106
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Bliksems!, er is een bewijs:
% 4.58/4.97 % SZS status Theorem
% 4.58/4.97 % SZS output start Refutation
% 4.58/4.97
% 4.58/4.97 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.58/4.97 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.58/4.97 (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! app( app( X, Y ), Z ) ==> skol49, ! app( X, Z ) ==> skol46 }.
% 4.58/4.97 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.58/4.97 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.58/4.97 (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.58/4.97 (285) {G1,W7,D4,L1,V0,M1} I;d(279) { app( app( skol52, skol53 ), skol54 )
% 4.58/4.97 ==> skol49 }.
% 4.58/4.97 (286) {G1,W5,D3,L1,V0,M1} I;d(280) { app( skol52, skol54 ) ==> skol46 }.
% 4.58/4.97 (43153) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { ! ssList( skol53 )
% 4.58/4.97 , ! ssList( skol54 ) }.
% 4.58/4.97 (43828) {G3,W0,D0,L0,V0,M0} S(43153);r(283);r(284) { }.
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 % SZS output end Refutation
% 4.58/4.97 found a proof!
% 4.58/4.97
% 4.58/4.97
% 4.58/4.97 Unprocessed initial clauses:
% 4.58/4.97
% 4.58/4.97 (43830) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 4.58/4.97 , ! X = Y }.
% 4.58/4.97 (43831) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43832) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 4.58/4.97 (43833) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 4.58/4.97 (43834) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 4.58/4.97 (43835) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.58/4.97 , Y ), ssList( skol2( Z, T ) ) }.
% 4.58/4.97 (43836) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 4.58/4.97 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 4.58/4.97 (43837) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 4.58/4.97 (43838) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 4.58/4.97 ) ) }.
% 4.58/4.97 (43839) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 4.58/4.97 ( X, Y, Z ) ) ) = X }.
% 4.58/4.97 (43840) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 4.58/4.97 , alpha1( X, Y, Z ) }.
% 4.58/4.97 (43841) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 4.58/4.97 skol4( Y ) ) }.
% 4.58/4.97 (43842) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 4.58/4.97 skol4( X ), nil ) = X }.
% 4.58/4.97 (43843) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 4.58/4.97 nil ) = X, singletonP( X ) }.
% 4.58/4.97 (43844) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.58/4.97 X, Y ), ssList( skol5( Z, T ) ) }.
% 4.58/4.97 (43845) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.58/4.97 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 4.58/4.97 (43846) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 4.58/4.97 (43847) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.58/4.97 , Y ), ssList( skol6( Z, T ) ) }.
% 4.58/4.97 (43848) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.58/4.97 , Y ), app( skol6( X, Y ), Y ) = X }.
% 4.58/4.97 (43849) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 4.58/4.97 (43850) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.58/4.97 , Y ), ssList( skol7( Z, T ) ) }.
% 4.58/4.97 (43851) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.58/4.97 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 4.58/4.97 (43852) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 4.58/4.97 (43853) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 4.58/4.97 ) ) }.
% 4.58/4.97 (43854) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 4.58/4.97 skol8( X, Y, Z ) ) = X }.
% 4.58/4.97 (43855) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 4.58/4.97 , alpha2( X, Y, Z ) }.
% 4.58/4.97 (43856) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 4.58/4.97 Y ), alpha3( X, Y ) }.
% 4.58/4.97 (43857) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 4.58/4.97 cyclefreeP( X ) }.
% 4.58/4.97 (43858) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 4.58/4.97 cyclefreeP( X ) }.
% 4.58/4.97 (43859) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43860) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 4.58/4.97 (43861) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43862) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha28( X, Y, Z, T ) }.
% 4.58/4.97 (43863) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43864) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 4.58/4.97 alpha21( X, Y, Z ) }.
% 4.58/4.97 (43865) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha35( X, Y, Z, T, U ) }.
% 4.58/4.97 (43866) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43867) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 4.58/4.97 ), alpha28( X, Y, Z, T ) }.
% 4.58/4.97 (43868) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha41( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43869) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha35( X, Y, Z, T, U ) }.
% 4.58/4.97 (43870) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 4.58/4.97 (43871) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 4.58/4.97 (43872) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha41( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43873) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 4.58/4.97 W ) }.
% 4.58/4.97 (43874) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 4.58/4.97 X ) }.
% 4.58/4.97 (43875) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 4.58/4.97 (43876) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 4.58/4.97 (43877) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 4.58/4.97 ( Y ), alpha4( X, Y ) }.
% 4.58/4.97 (43878) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 4.58/4.97 totalorderP( X ) }.
% 4.58/4.97 (43879) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 4.58/4.97 totalorderP( X ) }.
% 4.58/4.97 (43880) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43881) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 4.58/4.97 (43882) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43883) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha29( X, Y, Z, T ) }.
% 4.58/4.97 (43884) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43885) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 4.58/4.97 alpha22( X, Y, Z ) }.
% 4.58/4.97 (43886) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha36( X, Y, Z, T, U ) }.
% 4.58/4.97 (43887) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43888) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 4.58/4.97 ), alpha29( X, Y, Z, T ) }.
% 4.58/4.97 (43889) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha42( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43890) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha36( X, Y, Z, T, U ) }.
% 4.58/4.97 (43891) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 4.58/4.97 (43892) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 4.58/4.97 (43893) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha42( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43894) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 4.58/4.97 W ) }.
% 4.58/4.97 (43895) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 4.58/4.97 }.
% 4.58/4.97 (43896) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 4.58/4.97 (43897) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 4.58/4.97 (43898) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 4.58/4.97 ( Y ), alpha5( X, Y ) }.
% 4.58/4.97 (43899) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 4.58/4.97 strictorderP( X ) }.
% 4.58/4.97 (43900) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 4.58/4.97 strictorderP( X ) }.
% 4.58/4.97 (43901) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43902) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 4.58/4.97 (43903) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43904) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha30( X, Y, Z, T ) }.
% 4.58/4.97 (43905) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43906) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 4.58/4.97 alpha23( X, Y, Z ) }.
% 4.58/4.97 (43907) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha37( X, Y, Z, T, U ) }.
% 4.58/4.97 (43908) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43909) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 4.58/4.97 ), alpha30( X, Y, Z, T ) }.
% 4.58/4.97 (43910) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha43( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43911) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha37( X, Y, Z, T, U ) }.
% 4.58/4.97 (43912) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 4.58/4.97 (43913) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 4.58/4.97 (43914) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha43( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43915) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 4.58/4.97 W ) }.
% 4.58/4.97 (43916) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 4.58/4.97 }.
% 4.58/4.97 (43917) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 4.58/4.97 (43918) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 4.58/4.97 (43919) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 4.58/4.97 ssItem( Y ), alpha6( X, Y ) }.
% 4.58/4.97 (43920) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 4.58/4.97 totalorderedP( X ) }.
% 4.58/4.97 (43921) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 4.58/4.97 totalorderedP( X ) }.
% 4.58/4.97 (43922) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43923) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 4.58/4.97 (43924) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43925) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha24( X, Y, Z, T ) }.
% 4.58/4.97 (43926) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43927) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 4.58/4.97 alpha15( X, Y, Z ) }.
% 4.58/4.97 (43928) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha31( X, Y, Z, T, U ) }.
% 4.58/4.97 (43929) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43930) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 4.58/4.97 ), alpha24( X, Y, Z, T ) }.
% 4.58/4.97 (43931) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha38( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43932) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha31( X, Y, Z, T, U ) }.
% 4.58/4.97 (43933) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 4.58/4.97 (43934) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 4.58/4.97 (43935) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha38( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43936) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 4.58/4.97 }.
% 4.58/4.97 (43937) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 4.58/4.97 ssItem( Y ), alpha7( X, Y ) }.
% 4.58/4.97 (43938) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 4.58/4.97 strictorderedP( X ) }.
% 4.58/4.97 (43939) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 4.58/4.97 strictorderedP( X ) }.
% 4.58/4.97 (43940) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43941) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 4.58/4.97 (43942) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43943) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha25( X, Y, Z, T ) }.
% 4.58/4.97 (43944) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43945) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 4.58/4.97 alpha16( X, Y, Z ) }.
% 4.58/4.97 (43946) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha32( X, Y, Z, T, U ) }.
% 4.58/4.97 (43947) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43948) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 4.58/4.97 ), alpha25( X, Y, Z, T ) }.
% 4.58/4.97 (43949) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha39( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43950) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha32( X, Y, Z, T, U ) }.
% 4.58/4.97 (43951) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 4.58/4.97 (43952) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 4.58/4.97 (43953) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha39( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43954) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 4.58/4.97 }.
% 4.58/4.97 (43955) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 4.58/4.97 ssItem( Y ), alpha8( X, Y ) }.
% 4.58/4.97 (43956) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 4.58/4.97 duplicatefreeP( X ) }.
% 4.58/4.97 (43957) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 4.58/4.97 duplicatefreeP( X ) }.
% 4.58/4.97 (43958) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43959) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 4.58/4.97 (43960) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43961) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha26( X, Y, Z, T ) }.
% 4.58/4.97 (43962) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43963) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 4.58/4.97 alpha17( X, Y, Z ) }.
% 4.58/4.97 (43964) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha33( X, Y, Z, T, U ) }.
% 4.58/4.97 (43965) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43966) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 4.58/4.97 ), alpha26( X, Y, Z, T ) }.
% 4.58/4.97 (43967) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 4.58/4.97 alpha40( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43968) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 4.58/4.97 alpha33( X, Y, Z, T, U ) }.
% 4.58/4.97 (43969) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 4.58/4.97 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 4.58/4.97 (43970) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 4.58/4.97 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 4.58/4.97 (43971) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 4.58/4.97 = X, alpha40( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43972) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 4.58/4.97 (43973) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 4.58/4.97 ( Y ), alpha9( X, Y ) }.
% 4.58/4.97 (43974) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 4.58/4.97 equalelemsP( X ) }.
% 4.58/4.97 (43975) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 4.58/4.97 equalelemsP( X ) }.
% 4.58/4.97 (43976) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 4.58/4.97 , Y, Z ) }.
% 4.58/4.97 (43977) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 4.58/4.97 (43978) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43979) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 4.58/4.97 alpha27( X, Y, Z, T ) }.
% 4.58/4.97 (43980) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 4.58/4.97 Z ) }.
% 4.58/4.97 (43981) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 4.58/4.97 alpha18( X, Y, Z ) }.
% 4.58/4.97 (43982) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 4.58/4.97 alpha34( X, Y, Z, T, U ) }.
% 4.58/4.97 (43983) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 4.58/4.97 X, Y, Z, T ) }.
% 4.58/4.97 (43984) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 4.58/4.97 ), alpha27( X, Y, Z, T ) }.
% 4.58/4.97 (43985) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 4.58/4.97 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 4.58/4.97 (43986) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 4.58/4.97 alpha34( X, Y, Z, T, U ) }.
% 4.58/4.97 (43987) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 4.58/4.97 (43988) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 4.58/4.97 , ! X = Y }.
% 4.58/4.97 (43989) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 4.58/4.97 , Y ) }.
% 4.58/4.97 (43990) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 4.58/4.97 Y, X ) ) }.
% 4.58/4.97 (43991) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 4.58/4.97 (43992) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 4.58/4.97 = X }.
% 4.58/4.97 (43993) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.58/4.97 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 4.58/4.97 (43994) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.58/4.97 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 4.58/4.97 (43995) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 4.58/4.97 ) }.
% 4.58/4.97 (43996) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 4.58/4.97 ) }.
% 4.58/4.97 (43997) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 4.58/4.97 skol43( X ) ) = X }.
% 4.58/4.97 (43998) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 4.58/4.97 Y, X ) }.
% 4.58/4.97 (43999) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 4.58/4.97 }.
% 4.58/4.97 (44000) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 4.58/4.97 X ) ) = Y }.
% 4.58/4.97 (44001) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 4.58/4.97 }.
% 4.58/4.97 (44002) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 4.58/4.97 X ) ) = X }.
% 4.58/4.97 (44003) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 4.58/4.97 , Y ) ) }.
% 4.58/4.97 (44004) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 4.58/4.97 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 4.58/4.97 (44005) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 4.58/4.97 (44006) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.58/4.97 , ! leq( Y, X ), X = Y }.
% 4.58/4.97 (44007) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.58/4.97 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 4.58/4.97 (44008) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 4.58/4.97 (44009) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.58/4.97 , leq( Y, X ) }.
% 4.58/4.97 (44010) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 4.58/4.97 , geq( X, Y ) }.
% 4.58/4.97 (44011) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.58/4.97 , ! lt( Y, X ) }.
% 4.58/4.97 (44012) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.58/4.97 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.58/4.97 (44013) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.58/4.97 , lt( Y, X ) }.
% 4.58/4.97 (44014) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 4.58/4.97 , gt( X, Y ) }.
% 4.58/4.97 (44015) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 4.58/4.97 (44016) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 4.58/4.97 (44017) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 4.58/4.97 (44018) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 4.58/4.97 (44019) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 4.58/4.97 (44020) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 4.58/4.97 (44021) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 4.58/4.97 (44022) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 4.58/4.97 (44023) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 4.58/4.97 (44024) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 4.58/4.97 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 4.58/4.97 (44025) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 4.58/4.97 (44026) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 4.58/4.97 (44027) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 4.58/4.97 (44028) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 4.58/4.97 , T ) }.
% 4.58/4.97 (44029) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 4.58/4.97 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 4.58/4.97 cons( Y, T ) ) }.
% 4.58/4.97 (44030) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 4.58/4.97 (44031) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 4.58/4.97 X }.
% 4.58/4.97 (44032) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 4.58/4.97 ) }.
% 4.58/4.97 (44033) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 4.58/4.97 (44034) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 4.58/4.97 , Y ), ! rearsegP( Y, X ), X = Y }.
% 4.58/4.97 (44035) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 4.58/4.97 (44036) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 4.58/4.97 (44037) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 4.58/4.97 (44038) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 4.58/4.97 }.
% 4.58/4.97 (44039) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 4.58/4.97 }.
% 4.58/4.97 (44040) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 4.58/4.97 (44041) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 4.58/4.97 , Y ), ! segmentP( Y, X ), X = Y }.
% 4.58/4.97 (44042) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 4.58/4.97 (44043) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 4.58/4.97 }.
% 4.58/4.97 (44044) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 4.58/4.97 (44045) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 4.58/4.97 }.
% 4.58/4.97 (44046) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 4.58/4.97 }.
% 4.58/4.97 (44047) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 4.58/4.97 }.
% 4.58/4.97 (44048) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 4.58/4.97 (44049) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 4.58/4.97 }.
% 4.58/4.97 (44050) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 4.58/4.97 (44051) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 4.58/4.97 ) }.
% 4.58/4.97 (44052) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 4.58/4.97 (44053) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 4.58/4.97 ) }.
% 4.58/4.97 (44054) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 4.58/4.97 (44055) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.58/4.97 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 4.58/4.97 (44056) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.58/4.97 totalorderedP( cons( X, Y ) ) }.
% 4.58/4.97 (44057) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 4.58/4.97 , Y ), totalorderedP( cons( X, Y ) ) }.
% 4.58/4.97 (44058) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 4.58/4.97 (44059) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 4.58/4.97 (44060) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 4.58/4.97 }.
% 4.58/4.97 (44061) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 4.58/4.97 (44062) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 4.58/4.97 (44063) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 4.58/4.97 alpha19( X, Y ) }.
% 4.58/4.97 (44064) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 4.58/4.97 ) ) }.
% 4.58/4.97 (44065) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 4.58/4.97 (44066) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 4.58/4.97 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 4.58/4.97 (44067) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 4.58/4.97 strictorderedP( cons( X, Y ) ) }.
% 4.58/4.97 (44068) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 4.58/4.97 , Y ), strictorderedP( cons( X, Y ) ) }.
% 4.58/4.97 (44069) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 4.58/4.97 (44070) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 4.58/4.97 (44071) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 4.58/4.97 }.
% 4.58/4.97 (44072) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 4.58/4.97 (44073) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 4.58/4.97 (44074) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 4.58/4.97 alpha20( X, Y ) }.
% 4.58/4.97 (44075) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 4.58/4.97 ) ) }.
% 4.58/4.97 (44076) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 4.58/4.97 (44077) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 4.58/4.97 }.
% 4.58/4.97 (44078) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 4.58/4.97 (44079) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 4.58/4.97 ) }.
% 4.58/4.97 (44080) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 4.58/4.97 ) }.
% 4.58/4.97 (44081) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 4.58/4.97 ) }.
% 4.58/4.97 (44082) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 4.58/4.97 ) }.
% 4.58/4.97 (44083) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 4.58/4.97 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 4.58/4.97 (44084) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 4.58/4.97 X ) ) = X }.
% 4.58/4.97 (44085) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 4.58/4.97 (44086) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 4.58/4.97 (44087) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 4.58/4.97 = app( cons( Y, nil ), X ) }.
% 4.58/4.97 (44088) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.97 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 4.58/4.97 (44089) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.58/4.97 X, Y ), nil = Y }.
% 4.58/4.97 (44090) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 4.58/4.97 X, Y ), nil = X }.
% 4.58/4.97 (44091) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 4.58/4.97 nil = X, nil = app( X, Y ) }.
% 4.58/4.97 (44092) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 4.58/4.97 (44093) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 4.58/4.97 app( X, Y ) ) = hd( X ) }.
% 4.58/4.97 (44094) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 4.58/4.97 app( X, Y ) ) = app( tl( X ), Y ) }.
% 4.58/4.97 (44095) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 4.58/4.97 , ! geq( Y, X ), X = Y }.
% 4.58/4.97 (44096) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.58/4.97 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 4.58/4.98 (44097) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 4.58/4.98 (44098) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 4.58/4.98 (44099) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.58/4.98 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 4.58/4.98 (44100) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 4.58/4.98 , X = Y, lt( X, Y ) }.
% 4.58/4.98 (44101) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.58/4.98 , ! X = Y }.
% 4.58/4.98 (44102) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 4.58/4.98 , leq( X, Y ) }.
% 4.58/4.98 (44103) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 4.58/4.98 ( X, Y ), lt( X, Y ) }.
% 4.58/4.98 (44104) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 4.58/4.98 , ! gt( Y, X ) }.
% 4.58/4.98 (44105) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 4.58/4.98 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 4.58/4.98 (44106) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 4.58/4.98 (44107) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 4.58/4.98 (44108) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 4.58/4.98 (44109) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 4.58/4.98 (44110) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.58/4.98 (44111) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.58/4.98 (44112) {G0,W18,D4,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 4.58/4.98 , ! app( app( X, Y ), Z ) = skol49, ! app( X, Z ) = skol46 }.
% 4.58/4.98 (44113) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.58/4.98 (44114) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 4.58/4.98 (44115) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 4.58/4.98 (44116) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54 ) =
% 4.58/4.98 skol51 }.
% 4.58/4.98 (44117) {G0,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol50 }.
% 4.58/4.98
% 4.58/4.98
% 4.58/4.98 Total Proof:
% 4.58/4.98
% 4.58/4.98 eqswap: (44464) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.58/4.98 parent0[0]: (44110) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.58/4.98 parent0: (44464) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 eqswap: (44812) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.58/4.98 parent0[0]: (44111) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.58/4.98 parent0: (44812) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.58/4.98 ssList( Z ), ! app( app( X, Y ), Z ) ==> skol49, ! app( X, Z ) ==>
% 4.58/4.98 skol46 }.
% 4.58/4.98 parent0: (44112) {G0,W18,D4,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 4.58/4.98 ssList( Z ), ! app( app( X, Y ), Z ) = skol49, ! app( X, Z ) = skol46 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 X := X
% 4.58/4.98 Y := Y
% 4.58/4.98 Z := Z
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 1 ==> 1
% 4.58/4.98 2 ==> 2
% 4.58/4.98 3 ==> 3
% 4.58/4.98 4 ==> 4
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 *** allocated 2919240 integers for clauses
% 4.58/4.98 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.58/4.98 parent0: (44113) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.58/4.98 parent0: (44114) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.58/4.98 parent0: (44115) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 paramod: (46946) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54
% 4.58/4.98 ) = skol49 }.
% 4.58/4.98 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 4.58/4.98 parent1[0; 6]: (44116) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ),
% 4.58/4.98 skol54 ) = skol51 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 substitution1:
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (285) {G1,W7,D4,L1,V0,M1} I;d(279) { app( app( skol52, skol53
% 4.58/4.98 ), skol54 ) ==> skol49 }.
% 4.58/4.98 parent0: (46946) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol53 ), skol54
% 4.58/4.98 ) = skol49 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 paramod: (47615) {G1,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol46 }.
% 4.58/4.98 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 4.58/4.98 parent1[0; 4]: (44117) {G0,W5,D3,L1,V0,M1} { app( skol52, skol54 ) =
% 4.58/4.98 skol50 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 substitution1:
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 subsumption: (286) {G1,W5,D3,L1,V0,M1} I;d(280) { app( skol52, skol54 ) ==>
% 4.58/4.98 skol46 }.
% 4.58/4.98 parent0: (47615) {G1,W5,D3,L1,V0,M1} { app( skol52, skol54 ) = skol46 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98 permutation0:
% 4.58/4.98 0 ==> 0
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 eqswap: (47617) {G1,W7,D4,L1,V0,M1} { skol49 ==> app( app( skol52, skol53
% 4.58/4.98 ), skol54 ) }.
% 4.58/4.98 parent0[0]: (285) {G1,W7,D4,L1,V0,M1} I;d(279) { app( app( skol52, skol53 )
% 4.58/4.98 , skol54 ) ==> skol49 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 eqswap: (47618) {G0,W18,D4,L5,V3,M5} { ! skol49 ==> app( app( X, Y ), Z )
% 4.58/4.98 , ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( X, Z ) ==> skol46
% 4.58/4.98 }.
% 4.58/4.98 parent0[3]: (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 4.58/4.98 ssList( Z ), ! app( app( X, Y ), Z ) ==> skol49, ! app( X, Z ) ==> skol46
% 4.58/4.98 }.
% 4.58/4.98 substitution0:
% 4.58/4.98 X := X
% 4.58/4.98 Y := Y
% 4.58/4.98 Z := Z
% 4.58/4.98 end
% 4.58/4.98
% 4.58/4.98 resolution: (47622) {G1,W11,D3,L4,V0,M4} { ! ssList( skol52 ), ! ssList(
% 4.58/4.98 skol53 ), ! ssList( skol54 ), ! app( skol52, skol54 ) ==> skol46 }.
% 4.58/4.98 parent0[0]: (47618) {G0,W18,D4,L5,V3,M5} { ! skol49 ==> app( app( X, Y ),
% 4.58/4.98 Z ), ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( X, Z ) ==>
% 4.58/4.98 skol46 }.
% 4.58/4.99 parent1[0]: (47617) {G1,W7,D4,L1,V0,M1} { skol49 ==> app( app( skol52,
% 4.58/4.99 skol53 ), skol54 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 X := skol52
% 4.58/4.99 Y := skol53
% 4.58/4.99 Z := skol54
% 4.58/4.99 end
% 4.58/4.99 substitution1:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 paramod: (47623) {G2,W9,D2,L4,V0,M4} { ! skol46 ==> skol46, ! ssList(
% 4.58/4.99 skol52 ), ! ssList( skol53 ), ! ssList( skol54 ) }.
% 4.58/4.99 parent0[0]: (286) {G1,W5,D3,L1,V0,M1} I;d(280) { app( skol52, skol54 ) ==>
% 4.58/4.99 skol46 }.
% 4.58/4.99 parent1[3; 2]: (47622) {G1,W11,D3,L4,V0,M4} { ! ssList( skol52 ), ! ssList
% 4.58/4.99 ( skol53 ), ! ssList( skol54 ), ! app( skol52, skol54 ) ==> skol46 }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 substitution1:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 eqrefl: (47624) {G0,W6,D2,L3,V0,M3} { ! ssList( skol52 ), ! ssList( skol53
% 4.58/4.99 ), ! ssList( skol54 ) }.
% 4.58/4.99 parent0[0]: (47623) {G2,W9,D2,L4,V0,M4} { ! skol46 ==> skol46, ! ssList(
% 4.58/4.99 skol52 ), ! ssList( skol53 ), ! ssList( skol54 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 resolution: (47625) {G1,W4,D2,L2,V0,M2} { ! ssList( skol53 ), ! ssList(
% 4.58/4.99 skol54 ) }.
% 4.58/4.99 parent0[0]: (47624) {G0,W6,D2,L3,V0,M3} { ! ssList( skol52 ), ! ssList(
% 4.58/4.99 skol53 ), ! ssList( skol54 ) }.
% 4.58/4.99 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 substitution1:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 subsumption: (43153) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { !
% 4.58/4.99 ssList( skol53 ), ! ssList( skol54 ) }.
% 4.58/4.99 parent0: (47625) {G1,W4,D2,L2,V0,M2} { ! ssList( skol53 ), ! ssList(
% 4.58/4.99 skol54 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 permutation0:
% 4.58/4.99 0 ==> 0
% 4.58/4.99 1 ==> 1
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 resolution: (47626) {G1,W2,D2,L1,V0,M1} { ! ssList( skol54 ) }.
% 4.58/4.99 parent0[0]: (43153) {G2,W4,D2,L2,V0,M2} R(285,281);d(286);q;r(282) { !
% 4.58/4.99 ssList( skol53 ), ! ssList( skol54 ) }.
% 4.58/4.99 parent1[0]: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 substitution1:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 resolution: (47627) {G1,W0,D0,L0,V0,M0} { }.
% 4.58/4.99 parent0[0]: (47626) {G1,W2,D2,L1,V0,M1} { ! ssList( skol54 ) }.
% 4.58/4.99 parent1[0]: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 substitution1:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 subsumption: (43828) {G3,W0,D0,L0,V0,M0} S(43153);r(283);r(284) { }.
% 4.58/4.99 parent0: (47627) {G1,W0,D0,L0,V0,M0} { }.
% 4.58/4.99 substitution0:
% 4.58/4.99 end
% 4.58/4.99 permutation0:
% 4.58/4.99 end
% 4.58/4.99
% 4.58/4.99 Proof check complete!
% 4.58/4.99
% 4.58/4.99 Memory use:
% 4.58/4.99
% 4.58/4.99 space for terms: 771520
% 4.58/4.99 space for clauses: 1914174
% 4.58/4.99
% 4.58/4.99
% 4.58/4.99 clauses generated: 168788
% 4.58/4.99 clauses kept: 43829
% 4.58/4.99 clauses selected: 1165
% 4.58/4.99 clauses deleted: 4131
% 4.58/4.99 clauses inuse deleted: 106
% 4.58/4.99
% 4.58/4.99 subsentry: 327962
% 4.58/4.99 literals s-matched: 194123
% 4.58/4.99 literals matched: 163826
% 4.58/4.99 full subsumption: 89144
% 4.58/4.99
% 4.58/4.99 checksum: -1583147876
% 4.58/4.99
% 4.58/4.99
% 4.58/4.99 Bliksem ended
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