TSTP Solution File: SWC179+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC179+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 19:34:32 EDT 2022
% Result : Theorem 3.03s 3.40s
% Output : Refutation 3.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC179+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n010.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 09:02:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18 *** allocated 15000 integers for termspace/termends
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.78/1.18 { ssItem( skol1 ) }.
% 0.78/1.18 { ssItem( skol48 ) }.
% 0.78/1.18 { ! skol1 = skol48 }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.78/1.18 }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.78/1.18 Y ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.78/1.18 ( X, Y ) }.
% 0.78/1.18 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.78/1.18 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.78/1.18 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.78/1.18 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.78/1.18 ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.78/1.18 ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.78/1.18 ( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.78/1.18 }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.78/1.18 = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.78/1.18 ( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.78/1.18 }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.78/1.18 , Y ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.78/1.18 segmentP( X, Y ) }.
% 0.78/1.18 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.78/1.18 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.78/1.18 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.78/1.18 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.78/1.18 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.78/1.18 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.78/1.18 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.78/1.18 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.78/1.18 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, alpha12( Y, Z ) }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.78/1.18 { leq( X, Y ), alpha12( X, Y ) }.
% 0.78/1.18 { leq( Y, X ), alpha12( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.78/1.18 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.78/1.18 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.78/1.18 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.78/1.18 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.78/1.18 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, alpha13( Y, Z ) }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.78/1.18 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.78/1.18 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.78/1.18 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.78/1.18 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.78/1.18 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.78/1.18 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.78/1.18 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, alpha14( Y, Z ) }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.78/1.18 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.78/1.18 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.78/1.18 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.78/1.18 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.78/1.18 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.78/1.18 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.78/1.18 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, leq( Y, Z ) }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.78/1.18 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.78/1.18 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.78/1.18 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.78/1.18 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.78/1.18 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, lt( Y, Z ) }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.78/1.18 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.78/1.18 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.78/1.18 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.78/1.18 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.78/1.18 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.78/1.18 .
% 0.78/1.18 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.78/1.18 , U ) }.
% 0.78/1.18 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.78/1.18 ) ) = X, ! Y = Z }.
% 0.78/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.78/1.18 W ) }.
% 0.78/1.18 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.78/1.18 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.78/1.18 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.78/1.18 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.78/1.18 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.78/1.18 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.78/1.18 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.78/1.18 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.78/1.18 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.78/1.18 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.78/1.18 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.78/1.18 Z }.
% 0.78/1.18 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.78/1.18 { ssList( nil ) }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.78/1.18 ) = cons( T, Y ), Z = T }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.78/1.18 ) = cons( T, Y ), Y = X }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.78/1.18 ( cons( Z, Y ), X ) }.
% 0.78/1.18 { ! ssList( X ), app( nil, X ) = X }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.78/1.18 , leq( X, Z ) }.
% 0.78/1.18 { ! ssItem( X ), leq( X, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.78/1.18 lt( X, Z ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.78/1.18 , memberP( Y, X ), memberP( Z, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.78/1.18 app( Y, Z ), X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.78/1.18 app( Y, Z ), X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.78/1.18 , X = Y, memberP( Z, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.78/1.18 ), X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.78/1.18 cons( Y, Z ), X ) }.
% 0.78/1.18 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.78/1.18 { ! singletonP( nil ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.78/1.18 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.78/1.18 = Y }.
% 0.78/1.18 { ! ssList( X ), frontsegP( X, X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.78/1.18 frontsegP( app( X, Z ), Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.78/1.18 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.78/1.18 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.78/1.18 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.78/1.18 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.78/1.18 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.78/1.18 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.78/1.18 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.78/1.18 Y }.
% 0.78/1.18 { ! ssList( X ), rearsegP( X, X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.78/1.18 ( app( Z, X ), Y ) }.
% 0.78/1.18 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.78/1.18 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.78/1.18 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.78/1.18 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.78/1.18 Y }.
% 0.78/1.18 { ! ssList( X ), segmentP( X, X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.78/1.18 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.78/1.18 { ! ssList( X ), segmentP( X, nil ) }.
% 0.78/1.18 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.78/1.18 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.78/1.18 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.78/1.18 { cyclefreeP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.78/1.18 { totalorderP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.78/1.18 { strictorderP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.78/1.18 { totalorderedP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.78/1.18 alpha10( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.78/1.18 .
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.78/1.18 Y ) ) }.
% 0.78/1.18 { ! alpha10( X, Y ), ! nil = Y }.
% 0.78/1.18 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.78/1.18 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.78/1.18 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.78/1.18 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.78/1.18 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.78/1.18 { strictorderedP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.78/1.18 alpha11( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.78/1.18 .
% 0.78/1.18 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.78/1.18 , Y ) ) }.
% 0.78/1.18 { ! alpha11( X, Y ), ! nil = Y }.
% 0.78/1.18 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.78/1.18 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.78/1.18 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.78/1.18 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.78/1.18 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.78/1.18 { duplicatefreeP( nil ) }.
% 0.78/1.18 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.78/1.18 { equalelemsP( nil ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.78/1.18 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.78/1.18 ( Y ) = tl( X ), Y = X }.
% 0.78/1.18 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.78/1.18 , Z = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.78/1.18 , Z = X }.
% 0.78/1.18 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.78/1.18 ( X, app( Y, Z ) ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.78/1.18 { ! ssList( X ), app( X, nil ) = X }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.78/1.18 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.78/1.18 Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.78/1.18 , geq( X, Z ) }.
% 0.78/1.18 { ! ssItem( X ), geq( X, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! lt( X, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.78/1.18 , lt( X, Z ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.78/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.78/1.18 gt( X, Z ) }.
% 0.78/1.18 { ssList( skol46 ) }.
% 0.78/1.18 { ssList( skol50 ) }.
% 0.78/1.18 { ssList( skol51 ) }.
% 0.78/1.18 { ssList( skol52 ) }.
% 0.78/1.18 { skol50 = skol52 }.
% 0.78/1.18 { skol46 = skol51 }.
% 0.78/1.18 { ! duplicatefreeP( skol46 ) }.
% 0.78/1.18 { ssItem( skol53 ), alpha44( skol51, skol52 ) }.
% 0.78/1.18 { ssList( skol54 ), alpha44( skol51, skol52 ) }.
% 0.78/1.18 { alpha46( skol51, skol52, skol53, skol54, skol55 ), alpha44( skol51,
% 0.78/1.18 skol52 ) }.
% 0.78/1.18 { ! ssItem( X ), ! memberP( skol55, X ), ! lt( X, skol53 ), alpha44( skol51
% 0.78/1.18 , skol52 ) }.
% 0.78/1.18 { ! alpha46( X, Y, Z, T, U ), alpha45( X, Z, U ) }.
% 0.78/1.18 { ! alpha46( X, Y, Z, T, U ), app( app( T, X ), U ) = Y }.
% 0.78/1.18 { ! alpha46( X, Y, Z, T, U ), alpha47( Z, T ) }.
% 0.78/1.18 { ! alpha45( X, Z, U ), ! app( app( T, X ), U ) = Y, ! alpha47( Z, T ),
% 0.78/1.18 alpha46( X, Y, Z, T, U ) }.
% 0.78/1.18 { ! alpha47( X, Y ), ! ssItem( Z ), ! memberP( Y, Z ), ! lt( X, Z ) }.
% 0.78/1.18 { ssItem( skol47( Z, T ) ), alpha47( X, Y ) }.
% 0.78/1.18 { memberP( Y, skol47( Z, Y ) ), alpha47( X, Y ) }.
% 0.78/1.18 { lt( X, skol47( X, Y ) ), alpha47( X, Y ) }.
% 0.78/1.18 { ! alpha45( X, Y, Z ), ssList( Z ) }.
% 0.78/1.18 { ! alpha45( X, Y, Z ), cons( Y, nil ) = X }.
% 0.78/1.18 { ! ssList( Z ), ! cons( Y, nil ) = X, alpha45( X, Y, Z ) }.
% 0.78/1.18 { ! alpha44( X, Y ), nil = Y }.
% 0.78/1.18 { ! alpha44( X, Y ), nil = X }.
% 0.78/1.18 { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 0.78/1.18
% 0.78/1.18 *** allocated 15000 integers for clauses
% 0.78/1.18 percentage equality = 0.130682, percentage horn = 0.753333
% 0.78/1.18 This is a problem with some equality
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Options Used:
% 0.78/1.18
% 0.78/1.18 useres = 1
% 0.78/1.18 useparamod = 1
% 0.78/1.18 useeqrefl = 1
% 0.78/1.18 useeqfact = 1
% 0.78/1.18 usefactor = 1
% 0.78/1.18 usesimpsplitting = 0
% 0.78/1.18 usesimpdemod = 5
% 0.78/1.18 usesimpres = 3
% 0.78/1.18
% 0.78/1.18 resimpinuse = 1000
% 0.78/1.18 resimpclauses = 20000
% 0.78/1.18 substype = eqrewr
% 0.78/1.18 backwardsubs = 1
% 0.78/1.18 selectoldest = 5
% 0.78/1.18
% 0.78/1.18 litorderings [0] = split
% 0.78/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.78/1.18
% 0.78/1.18 termordering = kbo
% 0.78/1.18
% 0.78/1.18 litapriori = 0
% 0.78/1.18 termapriori = 1
% 0.78/1.18 litaposteriori = 0
% 0.78/1.18 termaposteriori = 0
% 0.78/1.18 demodaposteriori = 0
% 0.78/1.18 ordereqreflfact = 0
% 0.78/1.18
% 0.78/1.18 litselect = negord
% 0.78/1.18
% 0.78/1.18 maxweight = 15
% 0.78/1.18 maxdepth = 30000
% 0.78/1.18 maxlength = 115
% 0.78/1.18 maxnrvars = 195
% 0.78/1.18 excuselevel = 1
% 0.78/1.18 increasemaxweight = 1
% 0.78/1.18
% 0.78/1.18 maxselected = 10000000
% 0.78/1.18 maxnrclauses = 10000000
% 0.78/1.18
% 0.78/1.18 showgenerated = 0
% 0.78/1.18 showkept = 0
% 0.78/1.18 showselected = 0
% 0.78/1.18 showdeleted = 0
% 0.78/1.18 showresimp = 1
% 0.78/1.18 showstatus = 2000
% 0.78/1.40
% 0.78/1.40 prologoutput = 0
% 0.78/1.40 nrgoals = 5000000
% 0.78/1.40 totalproof = 1
% 0.78/1.40
% 0.78/1.40 Symbols occurring in the translation:
% 0.78/1.40
% 0.78/1.40 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.40 . [1, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.78/1.40 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.78/1.40 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.40 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.40 ssItem [36, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.78/1.40 neq [38, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.78/1.40 ssList [39, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.78/1.40 memberP [40, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.78/1.40 cons [43, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.78/1.40 app [44, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.78/1.40 singletonP [45, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.78/1.40 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.78/1.40 frontsegP [47, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.78/1.40 rearsegP [48, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.78/1.40 segmentP [49, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.78/1.40 cyclefreeP [50, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.78/1.40 leq [53, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.78/1.40 totalorderP [54, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.78/1.40 strictorderP [55, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.78/1.40 lt [56, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.78/1.40 totalorderedP [57, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.78/1.40 strictorderedP [58, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.78/1.40 duplicatefreeP [59, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.78/1.40 equalelemsP [60, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.78/1.40 hd [61, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.78/1.40 tl [62, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.78/1.40 geq [63, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.78/1.40 gt [64, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.78/1.40 alpha1 [68, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.78/1.40 alpha2 [69, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.78/1.40 alpha3 [70, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.78/1.40 alpha4 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.78/1.40 alpha5 [72, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.78/1.40 alpha6 [73, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.78/1.40 alpha7 [74, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.78/1.40 alpha8 [75, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.78/1.40 alpha9 [76, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.78/1.40 alpha10 [77, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.78/1.40 alpha11 [78, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.78/1.40 alpha12 [79, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.78/1.40 alpha13 [80, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.78/1.40 alpha14 [81, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.78/1.40 alpha15 [82, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.78/1.40 alpha16 [83, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.78/1.40 alpha17 [84, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.78/1.40 alpha18 [85, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.78/1.40 alpha19 [86, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.78/1.40 alpha20 [87, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.78/1.40 alpha21 [88, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.78/1.40 alpha22 [89, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.78/1.40 alpha23 [90, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.78/1.40 alpha24 [91, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.78/1.40 alpha25 [92, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.78/1.40 alpha26 [93, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.78/1.40 alpha27 [94, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.78/1.40 alpha28 [95, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.78/1.40 alpha29 [96, 4] (w:1, o:141, a:1, s:1, b:1),
% 0.78/1.40 alpha30 [97, 4] (w:1, o:142, a:1, s:1, b:1),
% 0.78/1.40 alpha31 [98, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.78/1.40 alpha32 [99, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.78/1.40 alpha33 [100, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.78/1.40 alpha34 [101, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.78/1.40 alpha35 [102, 5] (w:1, o:154, a:1, s:1, b:1),
% 0.78/1.40 alpha36 [103, 5] (w:1, o:155, a:1, s:1, b:1),
% 0.78/1.40 alpha37 [104, 5] (w:1, o:156, a:1, s:1, b:1),
% 0.78/1.40 alpha38 [105, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.78/1.40 alpha39 [106, 6] (w:1, o:165, a:1, s:1, b:1),
% 0.78/1.40 alpha40 [107, 6] (w:1, o:166, a:1, s:1, b:1),
% 0.78/1.40 alpha41 [108, 6] (w:1, o:167, a:1, s:1, b:1),
% 0.78/1.40 alpha42 [109, 6] (w:1, o:168, a:1, s:1, b:1),
% 0.78/1.40 alpha43 [110, 6] (w:1, o:169, a:1, s:1, b:1),
% 0.78/1.40 alpha44 [111, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.78/1.40 alpha45 [112, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.78/1.40 alpha46 [113, 5] (w:1, o:157, a:1, s:1, b:1),
% 0.78/1.40 alpha47 [114, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.78/1.40 skol1 [115, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.78/1.40 skol2 [116, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.03/3.40 skol3 [117, 3] (w:1, o:129, a:1, s:1, b:1),
% 3.03/3.40 skol4 [118, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.03/3.40 skol5 [119, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.03/3.40 skol6 [120, 2] (w:1, o:111, a:1, s:1, b:1),
% 3.03/3.40 skol7 [121, 2] (w:1, o:112, a:1, s:1, b:1),
% 3.03/3.40 skol8 [122, 3] (w:1, o:130, a:1, s:1, b:1),
% 3.03/3.40 skol9 [123, 1] (w:1, o:39, a:1, s:1, b:1),
% 3.03/3.40 skol10 [124, 2] (w:1, o:105, a:1, s:1, b:1),
% 3.03/3.40 skol11 [125, 3] (w:1, o:131, a:1, s:1, b:1),
% 3.03/3.40 skol12 [126, 4] (w:1, o:143, a:1, s:1, b:1),
% 3.03/3.40 skol13 [127, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.03/3.40 skol14 [128, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.03/3.40 skol15 [129, 2] (w:1, o:106, a:1, s:1, b:1),
% 3.03/3.40 skol16 [130, 3] (w:1, o:132, a:1, s:1, b:1),
% 3.03/3.40 skol17 [131, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.03/3.40 skol18 [132, 5] (w:1, o:159, a:1, s:1, b:1),
% 3.03/3.40 skol19 [133, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.03/3.40 skol20 [134, 2] (w:1, o:113, a:1, s:1, b:1),
% 3.03/3.40 skol21 [135, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.03/3.40 skol22 [136, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.03/3.40 skol23 [137, 5] (w:1, o:160, a:1, s:1, b:1),
% 3.03/3.40 skol24 [138, 1] (w:1, o:42, a:1, s:1, b:1),
% 3.03/3.40 skol25 [139, 2] (w:1, o:114, a:1, s:1, b:1),
% 3.03/3.40 skol26 [140, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.03/3.40 skol27 [141, 4] (w:1, o:146, a:1, s:1, b:1),
% 3.03/3.40 skol28 [142, 5] (w:1, o:161, a:1, s:1, b:1),
% 3.03/3.40 skol29 [143, 1] (w:1, o:43, a:1, s:1, b:1),
% 3.03/3.40 skol30 [144, 2] (w:1, o:115, a:1, s:1, b:1),
% 3.03/3.40 skol31 [145, 3] (w:1, o:133, a:1, s:1, b:1),
% 3.03/3.40 skol32 [146, 4] (w:1, o:147, a:1, s:1, b:1),
% 3.03/3.40 skol33 [147, 5] (w:1, o:162, a:1, s:1, b:1),
% 3.03/3.40 skol34 [148, 1] (w:1, o:36, a:1, s:1, b:1),
% 3.03/3.40 skol35 [149, 2] (w:1, o:116, a:1, s:1, b:1),
% 3.03/3.40 skol36 [150, 3] (w:1, o:134, a:1, s:1, b:1),
% 3.03/3.40 skol37 [151, 4] (w:1, o:148, a:1, s:1, b:1),
% 3.03/3.40 skol38 [152, 5] (w:1, o:163, a:1, s:1, b:1),
% 3.03/3.40 skol39 [153, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.03/3.40 skol40 [154, 2] (w:1, o:108, a:1, s:1, b:1),
% 3.03/3.40 skol41 [155, 3] (w:1, o:135, a:1, s:1, b:1),
% 3.03/3.40 skol42 [156, 4] (w:1, o:149, a:1, s:1, b:1),
% 3.03/3.40 skol43 [157, 1] (w:1, o:44, a:1, s:1, b:1),
% 3.03/3.40 skol44 [158, 1] (w:1, o:45, a:1, s:1, b:1),
% 3.03/3.40 skol45 [159, 1] (w:1, o:46, a:1, s:1, b:1),
% 3.03/3.40 skol46 [160, 0] (w:1, o:17, a:1, s:1, b:1),
% 3.03/3.40 skol47 [161, 2] (w:1, o:109, a:1, s:1, b:1),
% 3.03/3.40 skol48 [162, 0] (w:1, o:18, a:1, s:1, b:1),
% 3.03/3.40 skol49 [163, 1] (w:1, o:47, a:1, s:1, b:1),
% 3.03/3.40 skol50 [164, 0] (w:1, o:19, a:1, s:1, b:1),
% 3.03/3.40 skol51 [165, 0] (w:1, o:20, a:1, s:1, b:1),
% 3.03/3.40 skol52 [166, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.03/3.40 skol53 [167, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.03/3.40 skol54 [168, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.03/3.40 skol55 [169, 0] (w:1, o:24, a:1, s:1, b:1).
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Starting Search:
% 3.03/3.40
% 3.03/3.40 *** allocated 22500 integers for clauses
% 3.03/3.40 *** allocated 33750 integers for clauses
% 3.03/3.40 *** allocated 50625 integers for clauses
% 3.03/3.40 *** allocated 22500 integers for termspace/termends
% 3.03/3.40 *** allocated 75937 integers for clauses
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 33750 integers for termspace/termends
% 3.03/3.40 *** allocated 113905 integers for clauses
% 3.03/3.40 *** allocated 50625 integers for termspace/termends
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 3414
% 3.03/3.40 Kept: 2004
% 3.03/3.40 Inuse: 197
% 3.03/3.40 Deleted: 9
% 3.03/3.40 Deletedinuse: 2
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 170857 integers for clauses
% 3.03/3.40 *** allocated 75937 integers for termspace/termends
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 256285 integers for clauses
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 7139
% 3.03/3.40 Kept: 4006
% 3.03/3.40 Inuse: 398
% 3.03/3.40 Deleted: 11
% 3.03/3.40 Deletedinuse: 2
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 113905 integers for termspace/termends
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 384427 integers for clauses
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 10340
% 3.03/3.40 Kept: 6017
% 3.03/3.40 Inuse: 539
% 3.03/3.40 Deleted: 11
% 3.03/3.40 Deletedinuse: 2
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 170857 integers for termspace/termends
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 576640 integers for clauses
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 14868
% 3.03/3.40 Kept: 8619
% 3.03/3.40 Inuse: 681
% 3.03/3.40 Deleted: 14
% 3.03/3.40 Deletedinuse: 4
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 256285 integers for termspace/termends
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 20604
% 3.03/3.40 Kept: 11222
% 3.03/3.40 Inuse: 766
% 3.03/3.40 Deleted: 14
% 3.03/3.40 Deletedinuse: 4
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 864960 integers for clauses
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 27464
% 3.03/3.40 Kept: 13222
% 3.03/3.40 Inuse: 796
% 3.03/3.40 Deleted: 25
% 3.03/3.40 Deletedinuse: 15
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 384427 integers for termspace/termends
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 33598
% 3.03/3.40 Kept: 15295
% 3.03/3.40 Inuse: 855
% 3.03/3.40 Deleted: 35
% 3.03/3.40 Deletedinuse: 19
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 40675
% 3.03/3.40 Kept: 17395
% 3.03/3.40 Inuse: 901
% 3.03/3.40 Deleted: 42
% 3.03/3.40 Deletedinuse: 22
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 1297440 integers for clauses
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 50838
% 3.03/3.40 Kept: 19417
% 3.03/3.40 Inuse: 929
% 3.03/3.40 Deleted: 44
% 3.03/3.40 Deletedinuse: 22
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying clauses:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 576640 integers for termspace/termends
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 57804
% 3.03/3.40 Kept: 21453
% 3.03/3.40 Inuse: 959
% 3.03/3.40 Deleted: 2162
% 3.03/3.40 Deletedinuse: 28
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 66272
% 3.03/3.40 Kept: 23728
% 3.03/3.40 Inuse: 998
% 3.03/3.40 Deleted: 2163
% 3.03/3.40 Deletedinuse: 28
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 73134
% 3.03/3.40 Kept: 25742
% 3.03/3.40 Inuse: 1037
% 3.03/3.40 Deleted: 2163
% 3.03/3.40 Deletedinuse: 28
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 79643
% 3.03/3.40 Kept: 27742
% 3.03/3.40 Inuse: 1066
% 3.03/3.40 Deleted: 2168
% 3.03/3.40 Deletedinuse: 29
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 1946160 integers for clauses
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 92503
% 3.03/3.40 Kept: 30661
% 3.03/3.40 Inuse: 1094
% 3.03/3.40 Deleted: 2169
% 3.03/3.40 Deletedinuse: 30
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 *** allocated 864960 integers for termspace/termends
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 105049
% 3.03/3.40 Kept: 33343
% 3.03/3.40 Inuse: 1128
% 3.03/3.40 Deleted: 2173
% 3.03/3.40 Deletedinuse: 33
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 112625
% 3.03/3.40 Kept: 35630
% 3.03/3.40 Inuse: 1157
% 3.03/3.40 Deleted: 2174
% 3.03/3.40 Deletedinuse: 33
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40 Done
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Intermediate Status:
% 3.03/3.40 Generated: 119073
% 3.03/3.40 Kept: 38323
% 3.03/3.40 Inuse: 1192
% 3.03/3.40 Deleted: 2182
% 3.03/3.40 Deletedinuse: 41
% 3.03/3.40
% 3.03/3.40 Resimplifying inuse:
% 3.03/3.40
% 3.03/3.40 Bliksems!, er is een bewijs:
% 3.03/3.40 % SZS status Theorem
% 3.03/3.40 % SZS output start Refutation
% 3.03/3.40
% 3.03/3.40 (245) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 3.03/3.40 ) }.
% 3.03/3.40 (246) {G0,W2,D2,L1,V0,M1} I { duplicatefreeP( nil ) }.
% 3.03/3.40 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.03/3.40 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.03/3.40 (281) {G0,W2,D2,L1,V0,M1} I { ! duplicatefreeP( skol46 ) }.
% 3.03/3.40 (282) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { ssItem( skol53 ), alpha44(
% 3.03/3.40 skol46, skol50 ) }.
% 3.03/3.40 (284) {G1,W9,D2,L2,V0,M2} I;d(280);d(280);d(279);d(279) { alpha46( skol46,
% 3.03/3.40 skol50, skol53, skol54, skol55 ), alpha44( skol46, skol50 ) }.
% 3.03/3.40 (286) {G0,W10,D2,L2,V5,M2} I { ! alpha46( X, Y, Z, T, U ), alpha45( X, Z, U
% 3.03/3.40 ) }.
% 3.03/3.40 (295) {G0,W9,D3,L2,V3,M2} I { ! alpha45( X, Y, Z ), cons( Y, nil ) = X }.
% 3.03/3.40 (298) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 3.03/3.40 (873) {G1,W3,D2,L1,V1,M1} P(298,281);r(246) { ! alpha44( skol46, X ) }.
% 3.03/3.40 (883) {G2,W2,D2,L1,V0,M1} R(873,282) { ssItem( skol53 ) }.
% 3.03/3.40 (20138) {G2,W6,D2,L1,V0,M1} S(284);r(873) { alpha46( skol46, skol50, skol53
% 3.03/3.40 , skol54, skol55 ) }.
% 3.03/3.40 (26462) {G3,W4,D3,L1,V0,M1} R(245,883) { duplicatefreeP( cons( skol53, nil
% 3.03/3.40 ) ) }.
% 3.03/3.40 (34774) {G3,W4,D2,L1,V0,M1} R(286,20138) { alpha45( skol46, skol53, skol55
% 3.03/3.40 ) }.
% 3.03/3.40 (37325) {G4,W5,D3,L1,V0,M1} R(295,34774) { cons( skol53, nil ) ==> skol46
% 3.03/3.40 }.
% 3.03/3.40 (38324) {G5,W0,D0,L0,V0,M0} S(26462);d(37325);r(281) { }.
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 % SZS output end Refutation
% 3.03/3.40 found a proof!
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Unprocessed initial clauses:
% 3.03/3.40
% 3.03/3.40 (38326) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.03/3.40 , ! X = Y }.
% 3.03/3.40 (38327) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38328) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.03/3.40 (38329) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 3.03/3.40 (38330) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 3.03/3.40 (38331) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.03/3.40 , Y ), ssList( skol2( Z, T ) ) }.
% 3.03/3.40 (38332) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.03/3.40 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.03/3.40 (38333) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.03/3.40 (38334) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.03/3.40 ) ) }.
% 3.03/3.40 (38335) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.03/3.40 ( X, Y, Z ) ) ) = X }.
% 3.03/3.40 (38336) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.03/3.40 , alpha1( X, Y, Z ) }.
% 3.03/3.40 (38337) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.03/3.40 skol4( Y ) ) }.
% 3.03/3.40 (38338) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.03/3.40 skol4( X ), nil ) = X }.
% 3.03/3.40 (38339) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.03/3.40 nil ) = X, singletonP( X ) }.
% 3.03/3.40 (38340) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.40 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.03/3.40 (38341) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.40 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.03/3.40 (38342) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.03/3.40 (38343) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.40 , Y ), ssList( skol6( Z, T ) ) }.
% 3.03/3.40 (38344) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.40 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.03/3.40 (38345) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.03/3.40 (38346) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.40 , Y ), ssList( skol7( Z, T ) ) }.
% 3.03/3.40 (38347) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.40 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.03/3.40 (38348) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.03/3.40 (38349) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.03/3.40 ) ) }.
% 3.03/3.40 (38350) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.03/3.40 skol8( X, Y, Z ) ) = X }.
% 3.03/3.40 (38351) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.03/3.40 , alpha2( X, Y, Z ) }.
% 3.03/3.40 (38352) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.03/3.40 Y ), alpha3( X, Y ) }.
% 3.03/3.40 (38353) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.03/3.40 cyclefreeP( X ) }.
% 3.03/3.40 (38354) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.03/3.40 cyclefreeP( X ) }.
% 3.03/3.40 (38355) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38356) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.03/3.40 (38357) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38358) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha28( X, Y, Z, T ) }.
% 3.03/3.40 (38359) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38360) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.03/3.40 alpha21( X, Y, Z ) }.
% 3.03/3.40 (38361) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha35( X, Y, Z, T, U ) }.
% 3.03/3.40 (38362) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38363) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.03/3.40 ), alpha28( X, Y, Z, T ) }.
% 3.03/3.40 (38364) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha41( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38365) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha35( X, Y, Z, T, U ) }.
% 3.03/3.40 (38366) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.03/3.40 (38367) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.03/3.40 (38368) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38369) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.03/3.40 W ) }.
% 3.03/3.40 (38370) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.03/3.40 X ) }.
% 3.03/3.40 (38371) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.03/3.40 (38372) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.03/3.40 (38373) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.03/3.40 ( Y ), alpha4( X, Y ) }.
% 3.03/3.40 (38374) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.03/3.40 totalorderP( X ) }.
% 3.03/3.40 (38375) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.03/3.40 totalorderP( X ) }.
% 3.03/3.40 (38376) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38377) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.03/3.40 (38378) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38379) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha29( X, Y, Z, T ) }.
% 3.03/3.40 (38380) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38381) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.03/3.40 alpha22( X, Y, Z ) }.
% 3.03/3.40 (38382) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha36( X, Y, Z, T, U ) }.
% 3.03/3.40 (38383) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38384) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.03/3.40 ), alpha29( X, Y, Z, T ) }.
% 3.03/3.40 (38385) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha42( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38386) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha36( X, Y, Z, T, U ) }.
% 3.03/3.40 (38387) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.03/3.40 (38388) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.03/3.40 (38389) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38390) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.03/3.40 W ) }.
% 3.03/3.40 (38391) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.03/3.40 }.
% 3.03/3.40 (38392) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.03/3.40 (38393) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.03/3.40 (38394) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.03/3.40 ( Y ), alpha5( X, Y ) }.
% 3.03/3.40 (38395) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.03/3.40 strictorderP( X ) }.
% 3.03/3.40 (38396) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.03/3.40 strictorderP( X ) }.
% 3.03/3.40 (38397) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38398) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.03/3.40 (38399) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38400) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha30( X, Y, Z, T ) }.
% 3.03/3.40 (38401) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38402) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.03/3.40 alpha23( X, Y, Z ) }.
% 3.03/3.40 (38403) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha37( X, Y, Z, T, U ) }.
% 3.03/3.40 (38404) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38405) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.03/3.40 ), alpha30( X, Y, Z, T ) }.
% 3.03/3.40 (38406) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha43( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38407) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha37( X, Y, Z, T, U ) }.
% 3.03/3.40 (38408) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.03/3.40 (38409) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.03/3.40 (38410) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38411) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.03/3.40 W ) }.
% 3.03/3.40 (38412) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.03/3.40 }.
% 3.03/3.40 (38413) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.03/3.40 (38414) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.03/3.40 (38415) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.03/3.40 ssItem( Y ), alpha6( X, Y ) }.
% 3.03/3.40 (38416) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.03/3.40 totalorderedP( X ) }.
% 3.03/3.40 (38417) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.03/3.40 totalorderedP( X ) }.
% 3.03/3.40 (38418) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38419) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.03/3.40 (38420) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38421) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha24( X, Y, Z, T ) }.
% 3.03/3.40 (38422) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38423) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.03/3.40 alpha15( X, Y, Z ) }.
% 3.03/3.40 (38424) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha31( X, Y, Z, T, U ) }.
% 3.03/3.40 (38425) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38426) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.03/3.40 ), alpha24( X, Y, Z, T ) }.
% 3.03/3.40 (38427) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha38( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38428) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha31( X, Y, Z, T, U ) }.
% 3.03/3.40 (38429) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.03/3.40 (38430) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.03/3.40 (38431) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38432) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.03/3.40 }.
% 3.03/3.40 (38433) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.03/3.40 ssItem( Y ), alpha7( X, Y ) }.
% 3.03/3.40 (38434) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.03/3.40 strictorderedP( X ) }.
% 3.03/3.40 (38435) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.03/3.40 strictorderedP( X ) }.
% 3.03/3.40 (38436) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38437) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.03/3.40 (38438) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38439) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha25( X, Y, Z, T ) }.
% 3.03/3.40 (38440) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38441) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.03/3.40 alpha16( X, Y, Z ) }.
% 3.03/3.40 (38442) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha32( X, Y, Z, T, U ) }.
% 3.03/3.40 (38443) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38444) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.03/3.40 ), alpha25( X, Y, Z, T ) }.
% 3.03/3.40 (38445) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha39( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38446) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha32( X, Y, Z, T, U ) }.
% 3.03/3.40 (38447) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.03/3.40 (38448) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.03/3.40 (38449) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38450) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.03/3.40 }.
% 3.03/3.40 (38451) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.03/3.40 ssItem( Y ), alpha8( X, Y ) }.
% 3.03/3.40 (38452) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.03/3.40 duplicatefreeP( X ) }.
% 3.03/3.40 (38453) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.03/3.40 duplicatefreeP( X ) }.
% 3.03/3.40 (38454) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38455) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.03/3.40 (38456) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38457) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha26( X, Y, Z, T ) }.
% 3.03/3.40 (38458) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38459) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.03/3.40 alpha17( X, Y, Z ) }.
% 3.03/3.40 (38460) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha33( X, Y, Z, T, U ) }.
% 3.03/3.40 (38461) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38462) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.03/3.40 ), alpha26( X, Y, Z, T ) }.
% 3.03/3.40 (38463) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.03/3.40 alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38464) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.03/3.40 alpha33( X, Y, Z, T, U ) }.
% 3.03/3.40 (38465) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.03/3.40 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.03/3.40 (38466) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.03/3.40 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.03/3.40 (38467) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.03/3.40 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38468) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.03/3.40 (38469) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.03/3.40 ( Y ), alpha9( X, Y ) }.
% 3.03/3.40 (38470) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.03/3.40 equalelemsP( X ) }.
% 3.03/3.40 (38471) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.03/3.40 equalelemsP( X ) }.
% 3.03/3.40 (38472) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.03/3.40 , Y, Z ) }.
% 3.03/3.40 (38473) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.03/3.40 (38474) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38475) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.03/3.40 alpha27( X, Y, Z, T ) }.
% 3.03/3.40 (38476) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.03/3.40 Z ) }.
% 3.03/3.40 (38477) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.03/3.40 alpha18( X, Y, Z ) }.
% 3.03/3.40 (38478) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.03/3.40 alpha34( X, Y, Z, T, U ) }.
% 3.03/3.40 (38479) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.03/3.40 X, Y, Z, T ) }.
% 3.03/3.40 (38480) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.03/3.40 ), alpha27( X, Y, Z, T ) }.
% 3.03/3.40 (38481) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.03/3.40 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.03/3.40 (38482) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.03/3.40 alpha34( X, Y, Z, T, U ) }.
% 3.03/3.40 (38483) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.03/3.40 (38484) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.03/3.40 , ! X = Y }.
% 3.03/3.40 (38485) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.03/3.40 , Y ) }.
% 3.03/3.40 (38486) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.03/3.40 Y, X ) ) }.
% 3.03/3.40 (38487) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.03/3.40 (38488) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.03/3.40 = X }.
% 3.03/3.40 (38489) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.40 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.03/3.40 (38490) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.40 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.03/3.40 (38491) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.03/3.40 ) }.
% 3.03/3.40 (38492) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 3.03/3.40 ) }.
% 3.03/3.40 (38493) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 3.03/3.40 skol43( X ) ) = X }.
% 3.03/3.40 (38494) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.03/3.40 Y, X ) }.
% 3.03/3.40 (38495) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.03/3.40 }.
% 3.03/3.40 (38496) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.03/3.40 X ) ) = Y }.
% 3.03/3.40 (38497) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.03/3.40 }.
% 3.03/3.40 (38498) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.03/3.40 X ) ) = X }.
% 3.03/3.40 (38499) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.03/3.40 , Y ) ) }.
% 3.03/3.40 (38500) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.03/3.40 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.03/3.40 (38501) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.03/3.40 (38502) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.03/3.40 , ! leq( Y, X ), X = Y }.
% 3.03/3.40 (38503) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.40 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.03/3.40 (38504) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.03/3.40 (38505) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.03/3.40 , leq( Y, X ) }.
% 3.03/3.40 (38506) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.03/3.40 , geq( X, Y ) }.
% 3.03/3.40 (38507) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.40 , ! lt( Y, X ) }.
% 3.03/3.40 (38508) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.40 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.03/3.40 (38509) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.03/3.40 , lt( Y, X ) }.
% 3.03/3.40 (38510) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.03/3.40 , gt( X, Y ) }.
% 3.03/3.40 (38511) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.03/3.40 (38512) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.03/3.40 (38513) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.03/3.40 (38514) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.03/3.40 (38515) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.03/3.40 (38516) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.03/3.40 (38517) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.03/3.40 (38518) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.03/3.40 (38519) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.03/3.40 (38520) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.03/3.40 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.03/3.40 (38521) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.03/3.40 (38522) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.03/3.40 (38523) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.03/3.40 (38524) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.03/3.40 , T ) }.
% 3.03/3.40 (38525) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.03/3.40 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.03/3.40 cons( Y, T ) ) }.
% 3.03/3.40 (38526) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.03/3.40 (38527) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.03/3.40 X }.
% 3.03/3.40 (38528) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.03/3.40 ) }.
% 3.03/3.40 (38529) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.03/3.40 (38530) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.03/3.40 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.03/3.40 (38531) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.03/3.40 (38532) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.03/3.40 (38533) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.03/3.40 (38534) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.03/3.40 }.
% 3.03/3.40 (38535) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.03/3.40 }.
% 3.03/3.40 (38536) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.03/3.40 (38537) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.03/3.40 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.03/3.40 (38538) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.03/3.40 (38539) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.03/3.40 }.
% 3.03/3.40 (38540) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.03/3.40 (38541) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.03/3.40 }.
% 3.03/3.40 (38542) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.03/3.40 }.
% 3.03/3.40 (38543) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.03/3.40 }.
% 3.03/3.40 (38544) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.03/3.40 (38545) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.03/3.40 }.
% 3.03/3.40 (38546) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.03/3.40 (38547) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.03/3.40 ) }.
% 3.03/3.40 (38548) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.03/3.40 (38549) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.03/3.40 ) }.
% 3.03/3.40 (38550) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.03/3.40 (38551) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.03/3.40 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.03/3.40 (38552) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.03/3.40 totalorderedP( cons( X, Y ) ) }.
% 3.03/3.40 (38553) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.03/3.40 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.03/3.40 (38554) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.03/3.40 (38555) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.03/3.40 (38556) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.03/3.40 }.
% 3.03/3.40 (38557) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.03/3.40 (38558) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.03/3.40 (38559) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.03/3.40 alpha19( X, Y ) }.
% 3.03/3.40 (38560) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.03/3.40 ) ) }.
% 3.03/3.40 (38561) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.03/3.40 (38562) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.03/3.40 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.03/3.40 (38563) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.03/3.40 strictorderedP( cons( X, Y ) ) }.
% 3.03/3.40 (38564) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.03/3.40 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.03/3.40 (38565) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.03/3.40 (38566) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.03/3.40 (38567) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.03/3.40 }.
% 3.03/3.40 (38568) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.03/3.40 (38569) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.03/3.40 (38570) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.03/3.40 alpha20( X, Y ) }.
% 3.03/3.40 (38571) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.03/3.40 ) ) }.
% 3.03/3.40 (38572) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.03/3.40 (38573) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.03/3.40 }.
% 3.03/3.40 (38574) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.03/3.40 (38575) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.03/3.40 ) }.
% 3.03/3.40 (38576) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.03/3.40 ) }.
% 3.03/3.40 (38577) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.03/3.40 ) }.
% 3.03/3.40 (38578) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.03/3.40 ) }.
% 3.03/3.40 (38579) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.03/3.40 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.03/3.40 (38580) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.03/3.40 X ) ) = X }.
% 3.03/3.40 (38581) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.03/3.40 (38582) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.03/3.40 (38583) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.03/3.40 = app( cons( Y, nil ), X ) }.
% 3.03/3.40 (38584) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.03/3.40 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.03/3.40 (38585) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.03/3.40 X, Y ), nil = Y }.
% 3.03/3.40 (38586) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.03/3.40 X, Y ), nil = X }.
% 3.03/3.40 (38587) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.03/3.40 nil = X, nil = app( X, Y ) }.
% 3.03/3.40 (38588) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.03/3.40 (38589) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.03/3.40 app( X, Y ) ) = hd( X ) }.
% 3.03/3.40 (38590) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.03/3.40 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.03/3.40 (38591) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.03/3.40 , ! geq( Y, X ), X = Y }.
% 3.03/3.40 (38592) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.40 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.03/3.40 (38593) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.03/3.40 (38594) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.03/3.40 (38595) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.40 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.03/3.40 (38596) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.03/3.40 , X = Y, lt( X, Y ) }.
% 3.03/3.40 (38597) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.40 , ! X = Y }.
% 3.03/3.40 (38598) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.03/3.40 , leq( X, Y ) }.
% 3.03/3.40 (38599) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.03/3.40 ( X, Y ), lt( X, Y ) }.
% 3.03/3.40 (38600) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.03/3.40 , ! gt( Y, X ) }.
% 3.03/3.40 (38601) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.03/3.40 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.03/3.40 (38602) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.03/3.40 (38603) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.03/3.40 (38604) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.03/3.40 (38605) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.03/3.40 (38606) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 3.03/3.40 (38607) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 3.03/3.40 (38608) {G0,W2,D2,L1,V0,M1} { ! duplicatefreeP( skol46 ) }.
% 3.03/3.40 (38609) {G0,W5,D2,L2,V0,M2} { ssItem( skol53 ), alpha44( skol51, skol52 )
% 3.03/3.40 }.
% 3.03/3.40 (38610) {G0,W5,D2,L2,V0,M2} { ssList( skol54 ), alpha44( skol51, skol52 )
% 3.03/3.40 }.
% 3.03/3.40 (38611) {G0,W9,D2,L2,V0,M2} { alpha46( skol51, skol52, skol53, skol54,
% 3.03/3.40 skol55 ), alpha44( skol51, skol52 ) }.
% 3.03/3.40 (38612) {G0,W11,D2,L4,V1,M4} { ! ssItem( X ), ! memberP( skol55, X ), ! lt
% 3.03/3.40 ( X, skol53 ), alpha44( skol51, skol52 ) }.
% 3.03/3.40 (38613) {G0,W10,D2,L2,V5,M2} { ! alpha46( X, Y, Z, T, U ), alpha45( X, Z,
% 3.03/3.40 U ) }.
% 3.03/3.40 (38614) {G0,W13,D4,L2,V5,M2} { ! alpha46( X, Y, Z, T, U ), app( app( T, X
% 3.03/3.40 ), U ) = Y }.
% 3.03/3.40 (38615) {G0,W9,D2,L2,V5,M2} { ! alpha46( X, Y, Z, T, U ), alpha47( Z, T )
% 3.03/3.40 }.
% 3.03/3.40 (38616) {G0,W20,D4,L4,V5,M4} { ! alpha45( X, Z, U ), ! app( app( T, X ), U
% 3.03/3.40 ) = Y, ! alpha47( Z, T ), alpha46( X, Y, Z, T, U ) }.
% 3.03/3.40 (38617) {G0,W11,D2,L4,V3,M4} { ! alpha47( X, Y ), ! ssItem( Z ), ! memberP
% 3.03/3.40 ( Y, Z ), ! lt( X, Z ) }.
% 3.03/3.40 (38618) {G0,W7,D3,L2,V4,M2} { ssItem( skol47( Z, T ) ), alpha47( X, Y )
% 3.03/3.40 }.
% 3.03/3.40 (38619) {G0,W8,D3,L2,V3,M2} { memberP( Y, skol47( Z, Y ) ), alpha47( X, Y
% 3.03/3.40 ) }.
% 3.03/3.40 (38620) {G0,W8,D3,L2,V2,M2} { lt( X, skol47( X, Y ) ), alpha47( X, Y ) }.
% 3.03/3.40 (38621) {G0,W6,D2,L2,V3,M2} { ! alpha45( X, Y, Z ), ssList( Z ) }.
% 3.03/3.40 (38622) {G0,W9,D3,L2,V3,M2} { ! alpha45( X, Y, Z ), cons( Y, nil ) = X }.
% 3.03/3.40 (38623) {G0,W11,D3,L3,V3,M3} { ! ssList( Z ), ! cons( Y, nil ) = X,
% 3.03/3.40 alpha45( X, Y, Z ) }.
% 3.03/3.40 (38624) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 3.03/3.40 (38625) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 3.03/3.40 (38626) {G0,W9,D2,L3,V2,M3} { ! nil = Y, ! nil = X, alpha44( X, Y ) }.
% 3.03/3.40
% 3.03/3.40
% 3.03/3.40 Total Proof:
% 3.03/3.40
% 3.03/3.40 subsumption: (245) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), duplicatefreeP(
% 3.03/3.40 cons( X, nil ) ) }.
% 3.03/3.40 parent0: (38571) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons
% 3.03/3.40 ( X, nil ) ) }.
% 3.03/3.40 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (246) {G0,W2,D2,L1,V0,M1} I { duplicatefreeP( nil ) }.
% 3.03/3.42 parent0: (38572) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (39383) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 3.03/3.42 parent0[0]: (38606) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.03/3.42 parent0: (39383) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (39731) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 3.03/3.42 parent0[0]: (38607) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.03/3.42 parent0: (39731) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ! duplicatefreeP( skol46 ) }.
% 3.03/3.42 parent0: (38608) {G0,W2,D2,L1,V0,M1} { ! duplicatefreeP( skol46 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (41006) {G1,W5,D2,L2,V0,M2} { alpha44( skol46, skol52 ), ssItem(
% 3.03/3.42 skol53 ) }.
% 3.03/3.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.03/3.42 parent1[1; 1]: (38609) {G0,W5,D2,L2,V0,M2} { ssItem( skol53 ), alpha44(
% 3.03/3.42 skol51, skol52 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (41007) {G1,W5,D2,L2,V0,M2} { alpha44( skol46, skol50 ), ssItem(
% 3.03/3.42 skol53 ) }.
% 3.03/3.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.03/3.42 parent1[0; 2]: (41006) {G1,W5,D2,L2,V0,M2} { alpha44( skol46, skol52 ),
% 3.03/3.42 ssItem( skol53 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (282) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { ssItem( skol53 ),
% 3.03/3.42 alpha44( skol46, skol50 ) }.
% 3.03/3.42 parent0: (41007) {G1,W5,D2,L2,V0,M2} { alpha44( skol46, skol50 ), ssItem(
% 3.03/3.42 skol53 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 1
% 3.03/3.42 1 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (42513) {G1,W9,D2,L2,V0,M2} { alpha44( skol46, skol52 ), alpha46
% 3.03/3.42 ( skol51, skol52, skol53, skol54, skol55 ) }.
% 3.03/3.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.03/3.42 parent1[1; 1]: (38611) {G0,W9,D2,L2,V0,M2} { alpha46( skol51, skol52,
% 3.03/3.42 skol53, skol54, skol55 ), alpha44( skol51, skol52 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (42515) {G1,W9,D2,L2,V0,M2} { alpha46( skol46, skol52, skol53,
% 3.03/3.42 skol54, skol55 ), alpha44( skol46, skol52 ) }.
% 3.03/3.42 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 3.03/3.42 parent1[1; 1]: (42513) {G1,W9,D2,L2,V0,M2} { alpha44( skol46, skol52 ),
% 3.03/3.42 alpha46( skol51, skol52, skol53, skol54, skol55 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (42517) {G1,W9,D2,L2,V0,M2} { alpha44( skol46, skol50 ), alpha46
% 3.03/3.42 ( skol46, skol52, skol53, skol54, skol55 ) }.
% 3.03/3.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.03/3.42 parent1[1; 2]: (42515) {G1,W9,D2,L2,V0,M2} { alpha46( skol46, skol52,
% 3.03/3.42 skol53, skol54, skol55 ), alpha44( skol46, skol52 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (42519) {G1,W9,D2,L2,V0,M2} { alpha46( skol46, skol50, skol53,
% 3.03/3.42 skol54, skol55 ), alpha44( skol46, skol50 ) }.
% 3.03/3.42 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 3.03/3.42 parent1[1; 2]: (42517) {G1,W9,D2,L2,V0,M2} { alpha44( skol46, skol50 ),
% 3.03/3.42 alpha46( skol46, skol52, skol53, skol54, skol55 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (284) {G1,W9,D2,L2,V0,M2} I;d(280);d(280);d(279);d(279) {
% 3.03/3.42 alpha46( skol46, skol50, skol53, skol54, skol55 ), alpha44( skol46,
% 3.03/3.42 skol50 ) }.
% 3.03/3.42 parent0: (42519) {G1,W9,D2,L2,V0,M2} { alpha46( skol46, skol50, skol53,
% 3.03/3.42 skol54, skol55 ), alpha44( skol46, skol50 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (286) {G0,W10,D2,L2,V5,M2} I { ! alpha46( X, Y, Z, T, U ),
% 3.03/3.42 alpha45( X, Z, U ) }.
% 3.03/3.42 parent0: (38613) {G0,W10,D2,L2,V5,M2} { ! alpha46( X, Y, Z, T, U ),
% 3.03/3.42 alpha45( X, Z, U ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 Z := Z
% 3.03/3.42 T := T
% 3.03/3.42 U := U
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (295) {G0,W9,D3,L2,V3,M2} I { ! alpha45( X, Y, Z ), cons( Y,
% 3.03/3.42 nil ) = X }.
% 3.03/3.42 parent0: (38622) {G0,W9,D3,L2,V3,M2} { ! alpha45( X, Y, Z ), cons( Y, nil
% 3.03/3.42 ) = X }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 Z := Z
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (298) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 3.03/3.42 parent0: (38625) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = X }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 1 ==> 1
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (43573) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 3.03/3.42 parent0[1]: (298) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = X }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 Y := Y
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (43574) {G1,W5,D2,L2,V1,M2} { ! duplicatefreeP( nil ), ! alpha44
% 3.03/3.42 ( skol46, X ) }.
% 3.03/3.42 parent0[0]: (43573) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( X, Y ) }.
% 3.03/3.42 parent1[0; 2]: (281) {G0,W2,D2,L1,V0,M1} I { ! duplicatefreeP( skol46 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol46
% 3.03/3.42 Y := X
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43585) {G1,W3,D2,L1,V1,M1} { ! alpha44( skol46, X ) }.
% 3.03/3.42 parent0[0]: (43574) {G1,W5,D2,L2,V1,M2} { ! duplicatefreeP( nil ), !
% 3.03/3.42 alpha44( skol46, X ) }.
% 3.03/3.42 parent1[0]: (246) {G0,W2,D2,L1,V0,M1} I { duplicatefreeP( nil ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (873) {G1,W3,D2,L1,V1,M1} P(298,281);r(246) { ! alpha44(
% 3.03/3.42 skol46, X ) }.
% 3.03/3.42 parent0: (43585) {G1,W3,D2,L1,V1,M1} { ! alpha44( skol46, X ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := X
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43586) {G2,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 3.03/3.42 parent0[0]: (873) {G1,W3,D2,L1,V1,M1} P(298,281);r(246) { ! alpha44( skol46
% 3.03/3.42 , X ) }.
% 3.03/3.42 parent1[1]: (282) {G1,W5,D2,L2,V0,M2} I;d(280);d(279) { ssItem( skol53 ),
% 3.03/3.42 alpha44( skol46, skol50 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol50
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (883) {G2,W2,D2,L1,V0,M1} R(873,282) { ssItem( skol53 ) }.
% 3.03/3.42 parent0: (43586) {G2,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43587) {G2,W6,D2,L1,V0,M1} { alpha46( skol46, skol50, skol53
% 3.03/3.42 , skol54, skol55 ) }.
% 3.03/3.42 parent0[0]: (873) {G1,W3,D2,L1,V1,M1} P(298,281);r(246) { ! alpha44( skol46
% 3.03/3.42 , X ) }.
% 3.03/3.42 parent1[1]: (284) {G1,W9,D2,L2,V0,M2} I;d(280);d(280);d(279);d(279) {
% 3.03/3.42 alpha46( skol46, skol50, skol53, skol54, skol55 ), alpha44( skol46,
% 3.03/3.42 skol50 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol50
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (20138) {G2,W6,D2,L1,V0,M1} S(284);r(873) { alpha46( skol46,
% 3.03/3.42 skol50, skol53, skol54, skol55 ) }.
% 3.03/3.42 parent0: (43587) {G2,W6,D2,L1,V0,M1} { alpha46( skol46, skol50, skol53,
% 3.03/3.42 skol54, skol55 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43588) {G1,W4,D3,L1,V0,M1} { duplicatefreeP( cons( skol53,
% 3.03/3.42 nil ) ) }.
% 3.03/3.42 parent0[0]: (245) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), duplicatefreeP(
% 3.03/3.42 cons( X, nil ) ) }.
% 3.03/3.42 parent1[0]: (883) {G2,W2,D2,L1,V0,M1} R(873,282) { ssItem( skol53 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol53
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (26462) {G3,W4,D3,L1,V0,M1} R(245,883) { duplicatefreeP( cons
% 3.03/3.42 ( skol53, nil ) ) }.
% 3.03/3.42 parent0: (43588) {G1,W4,D3,L1,V0,M1} { duplicatefreeP( cons( skol53, nil )
% 3.03/3.42 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43589) {G1,W4,D2,L1,V0,M1} { alpha45( skol46, skol53, skol55
% 3.03/3.42 ) }.
% 3.03/3.42 parent0[0]: (286) {G0,W10,D2,L2,V5,M2} I { ! alpha46( X, Y, Z, T, U ),
% 3.03/3.42 alpha45( X, Z, U ) }.
% 3.03/3.42 parent1[0]: (20138) {G2,W6,D2,L1,V0,M1} S(284);r(873) { alpha46( skol46,
% 3.03/3.42 skol50, skol53, skol54, skol55 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol46
% 3.03/3.42 Y := skol50
% 3.03/3.42 Z := skol53
% 3.03/3.42 T := skol54
% 3.03/3.42 U := skol55
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (34774) {G3,W4,D2,L1,V0,M1} R(286,20138) { alpha45( skol46,
% 3.03/3.42 skol53, skol55 ) }.
% 3.03/3.42 parent0: (43589) {G1,W4,D2,L1,V0,M1} { alpha45( skol46, skol53, skol55 )
% 3.03/3.42 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (43590) {G0,W9,D3,L2,V3,M2} { Y = cons( X, nil ), ! alpha45( Y, X
% 3.03/3.42 , Z ) }.
% 3.03/3.42 parent0[1]: (295) {G0,W9,D3,L2,V3,M2} I { ! alpha45( X, Y, Z ), cons( Y,
% 3.03/3.42 nil ) = X }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := Y
% 3.03/3.42 Y := X
% 3.03/3.42 Z := Z
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43591) {G1,W5,D3,L1,V0,M1} { skol46 = cons( skol53, nil ) }.
% 3.03/3.42 parent0[1]: (43590) {G0,W9,D3,L2,V3,M2} { Y = cons( X, nil ), ! alpha45( Y
% 3.03/3.42 , X, Z ) }.
% 3.03/3.42 parent1[0]: (34774) {G3,W4,D2,L1,V0,M1} R(286,20138) { alpha45( skol46,
% 3.03/3.42 skol53, skol55 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 X := skol53
% 3.03/3.42 Y := skol46
% 3.03/3.42 Z := skol55
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 eqswap: (43592) {G1,W5,D3,L1,V0,M1} { cons( skol53, nil ) = skol46 }.
% 3.03/3.42 parent0[0]: (43591) {G1,W5,D3,L1,V0,M1} { skol46 = cons( skol53, nil ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (37325) {G4,W5,D3,L1,V0,M1} R(295,34774) { cons( skol53, nil )
% 3.03/3.42 ==> skol46 }.
% 3.03/3.42 parent0: (43592) {G1,W5,D3,L1,V0,M1} { cons( skol53, nil ) = skol46 }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 0 ==> 0
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 paramod: (43594) {G4,W2,D2,L1,V0,M1} { duplicatefreeP( skol46 ) }.
% 3.03/3.42 parent0[0]: (37325) {G4,W5,D3,L1,V0,M1} R(295,34774) { cons( skol53, nil )
% 3.03/3.42 ==> skol46 }.
% 3.03/3.42 parent1[0; 1]: (26462) {G3,W4,D3,L1,V0,M1} R(245,883) { duplicatefreeP(
% 3.03/3.42 cons( skol53, nil ) ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 resolution: (43595) {G1,W0,D0,L0,V0,M0} { }.
% 3.03/3.42 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! duplicatefreeP( skol46 ) }.
% 3.03/3.42 parent1[0]: (43594) {G4,W2,D2,L1,V0,M1} { duplicatefreeP( skol46 ) }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 substitution1:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 subsumption: (38324) {G5,W0,D0,L0,V0,M0} S(26462);d(37325);r(281) { }.
% 3.03/3.42 parent0: (43595) {G1,W0,D0,L0,V0,M0} { }.
% 3.03/3.42 substitution0:
% 3.03/3.42 end
% 3.03/3.42 permutation0:
% 3.03/3.42 end
% 3.03/3.42
% 3.03/3.42 Proof check complete!
% 3.03/3.42
% 3.03/3.42 Memory use:
% 3.03/3.42
% 3.03/3.42 space for terms: 700701
% 3.03/3.42 space for clauses: 1654441
% 3.03/3.42
% 3.03/3.42
% 3.03/3.42 clauses generated: 119075
% 3.03/3.42 clauses kept: 38325
% 3.03/3.42 clauses selected: 1192
% 3.03/3.42 clauses deleted: 2184
% 3.03/3.42 clauses inuse deleted: 43
% 3.03/3.42
% 3.03/3.42 subsentry: 341270
% 3.03/3.42 literals s-matched: 211060
% 3.03/3.42 literals matched: 181979
% 3.03/3.42 full subsumption: 71069
% 3.03/3.42
% 3.03/3.42 checksum: 266174745
% 3.03/3.42
% 3.03/3.42
% 3.03/3.42 Bliksem ended
%------------------------------------------------------------------------------