TSTP Solution File: SWC210+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:50 EDT 2022
% Result : Theorem 1.00s 1.42s
% Output : Refutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC210+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 12 11:11:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.16 *** allocated 10000 integers for termspace/termends
% 0.42/1.16 *** allocated 10000 integers for clauses
% 0.42/1.16 *** allocated 10000 integers for justifications
% 0.42/1.16 Bliksem 1.12
% 0.42/1.16
% 0.42/1.16
% 0.42/1.16 Automatic Strategy Selection
% 0.42/1.16
% 0.42/1.16 *** allocated 15000 integers for termspace/termends
% 0.42/1.16
% 0.42/1.16 Clauses:
% 0.42/1.16
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.42/1.16 { ssItem( skol1 ) }.
% 0.42/1.16 { ssItem( skol47 ) }.
% 0.42/1.16 { ! skol1 = skol47 }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.42/1.16 }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.42/1.16 Y ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.42/1.16 ( X, Y ) }.
% 0.42/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.42/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.42/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.42/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.42/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.42/1.16 ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.42/1.16 ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.42/1.16 ( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.42/1.16 }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.42/1.16 = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.42/1.16 ( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.42/1.16 }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.42/1.16 , Y ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.42/1.16 segmentP( X, Y ) }.
% 0.42/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.42/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.42/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.42/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.42/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.42/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.42/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.42/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.42/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.42/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.42/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.42/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.42/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.42/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.42/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.42/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.42/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.42/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.42/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.42/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.42/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.42/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.42/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.42/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.42/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.42/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.42/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.42/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.42/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.42/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, leq( Y, Z ) }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.42/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.42/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.42/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.42/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.42/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, lt( Y, Z ) }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.42/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.42/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.42/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.42/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.42/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.42/1.16 .
% 0.42/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.42/1.16 , U ) }.
% 0.42/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.16 ) ) = X, ! Y = Z }.
% 0.42/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.42/1.16 W ) }.
% 0.42/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.42/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.42/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.42/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.42/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.42/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.42/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.42/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.42/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.42/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.42/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.42/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.42/1.16 Z }.
% 0.42/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.42/1.16 { ssList( nil ) }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.42/1.16 ) = cons( T, Y ), Z = T }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.42/1.16 ) = cons( T, Y ), Y = X }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.42/1.16 ( cons( Z, Y ), X ) }.
% 0.42/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.42/1.16 , leq( X, Z ) }.
% 0.42/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.42/1.16 lt( X, Z ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.42/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.42/1.16 app( Y, Z ), X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.42/1.16 app( Y, Z ), X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.42/1.16 , X = Y, memberP( Z, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.42/1.16 ), X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.42/1.16 cons( Y, Z ), X ) }.
% 0.42/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.42/1.16 { ! singletonP( nil ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.42/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.42/1.16 = Y }.
% 0.42/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.42/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.42/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.42/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.42/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.42/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.42/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.42/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.42/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.42/1.16 Y }.
% 0.42/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.42/1.16 ( app( Z, X ), Y ) }.
% 0.42/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.42/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.42/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.42/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.42/1.16 Y }.
% 0.42/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.42/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.42/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.42/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.42/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.42/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.42/1.16 { cyclefreeP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.42/1.16 { totalorderP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.42/1.16 { strictorderP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.42/1.16 { totalorderedP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.42/1.16 alpha10( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.42/1.16 .
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.42/1.16 Y ) ) }.
% 0.42/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.42/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.42/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.42/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.42/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.42/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.42/1.16 { strictorderedP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.42/1.16 alpha11( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.42/1.16 .
% 0.42/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.42/1.16 , Y ) ) }.
% 0.42/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.42/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.42/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.42/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.42/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.42/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.42/1.16 { duplicatefreeP( nil ) }.
% 0.42/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.42/1.16 { equalelemsP( nil ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.42/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.42/1.16 ( Y ) = tl( X ), Y = X }.
% 0.42/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.42/1.16 , Z = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.42/1.16 , Z = X }.
% 0.42/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.42/1.16 ( X, app( Y, Z ) ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.42/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.42/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.42/1.16 Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.42/1.16 , geq( X, Z ) }.
% 0.42/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.42/1.16 , lt( X, Z ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.42/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.42/1.16 gt( X, Z ) }.
% 0.42/1.16 { ssList( skol46 ) }.
% 0.42/1.16 { ssList( skol49 ) }.
% 0.42/1.16 { ssList( skol50 ) }.
% 0.42/1.16 { ssList( skol51 ) }.
% 0.42/1.16 { skol49 = skol51 }.
% 0.42/1.16 { skol46 = skol50 }.
% 0.42/1.16 { alpha44( skol49, skol50 ), alpha45( skol49, skol51 ) }.
% 0.42/1.16 { ! neq( skol46, nil ), alpha45( skol49, skol51 ) }.
% 0.42/1.16 { ! alpha45( X, Y ), neq( X, nil ) }.
% 0.42/1.16 { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 0.42/1.16 { ! neq( X, nil ), neq( Y, nil ), alpha45( X, Y ) }.
% 0.42/1.16 { ! alpha44( X, Y ), neq( X, nil ) }.
% 0.42/1.16 { ! alpha44( X, Y ), singletonP( Y ) }.
% 0.42/1.16 { ! neq( X, nil ), ! singletonP( Y ), alpha44( X, Y ) }.
% 0.42/1.16
% 0.42/1.16 *** allocated 15000 integers for clauses
% 0.42/1.16 percentage equality = 0.125440, percentage horn = 0.757785
% 0.42/1.16 This is a problem with some equality
% 0.42/1.16
% 0.42/1.16
% 0.42/1.16
% 0.42/1.16 Options Used:
% 0.42/1.16
% 0.42/1.16 useres = 1
% 0.42/1.16 useparamod = 1
% 0.42/1.16 useeqrefl = 1
% 0.42/1.16 useeqfact = 1
% 0.42/1.16 usefactor = 1
% 0.42/1.16 usesimpsplitting = 0
% 0.42/1.16 usesimpdemod = 5
% 0.42/1.16 usesimpres = 3
% 0.42/1.16
% 0.42/1.16 resimpinuse = 1000
% 0.42/1.16 resimpclauses = 20000
% 0.42/1.16 substype = eqrewr
% 0.42/1.16 backwardsubs = 1
% 0.42/1.16 selectoldest = 5
% 0.42/1.16
% 0.42/1.16 litorderings [0] = split
% 0.42/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.16
% 0.42/1.16 termordering = kbo
% 0.42/1.16
% 0.42/1.16 litapriori = 0
% 0.42/1.16 termapriori = 1
% 0.42/1.16 litaposteriori = 0
% 0.42/1.16 termaposteriori = 0
% 0.42/1.16 demodaposteriori = 0
% 0.42/1.16 ordereqreflfact = 0
% 0.42/1.16
% 0.42/1.16 litselect = negord
% 0.42/1.16
% 0.42/1.16 maxweight = 15
% 0.42/1.16 maxdepth = 30000
% 0.42/1.16 maxlength = 115
% 0.42/1.16 maxnrvars = 195
% 0.42/1.16 excuselevel = 1
% 0.42/1.16 increasemaxweight = 1
% 0.42/1.16
% 0.42/1.16 maxselected = 10000000
% 0.42/1.16 maxnrclauses = 10000000
% 0.42/1.16
% 0.42/1.16 showgenerated = 0
% 0.42/1.16 showkept = 0
% 0.42/1.16 showselected = 0
% 0.42/1.16 showdeleted = 0
% 0.42/1.16 showresimp = 1
% 0.42/1.16 showstatus = 2000
% 0.42/1.16
% 0.42/1.16 prologoutput = 0
% 0.42/1.16 nrgoals = 5000000
% 0.42/1.16 totalproof = 1
% 0.42/1.16
% 0.42/1.16 Symbols occurring in the translation:
% 0.42/1.16
% 0.42/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.16 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.16 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.42/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.16 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.16 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.42/1.16 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.16 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.42/1.16 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.42/1.16 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.42/1.16 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.00/1.42 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.00/1.42 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.00/1.42 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.00/1.42 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.00/1.42 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.00/1.42 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.00/1.42 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.00/1.42 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.00/1.42 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.00/1.42 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.00/1.42 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.00/1.42 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.00/1.42 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.00/1.42 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.00/1.42 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.00/1.42 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.00/1.42 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.00/1.42 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.00/1.42 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.00/1.42 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.00/1.42 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.00/1.42 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.00/1.42 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.00/1.42 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.00/1.42 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.00/1.42 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.00/1.42 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.00/1.42 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.00/1.42 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.00/1.42 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.00/1.42 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.00/1.42 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.00/1.42 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.00/1.42 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.00/1.42 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.00/1.42 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.00/1.42 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.00/1.42 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.00/1.42 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.00/1.42 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.00/1.42 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.00/1.42 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.00/1.42 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.00/1.42 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.00/1.42 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.00/1.42 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.00/1.42 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.00/1.42 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.00/1.42 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.00/1.42 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.00/1.42 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.00/1.42 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.00/1.42 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.00/1.42 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.00/1.42 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.00/1.42 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.00/1.42 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.00/1.42 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.00/1.42 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.00/1.42 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.00/1.42 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.00/1.42 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.00/1.42 skol1 [110, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.00/1.42 skol2 [111, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.00/1.42 skol3 [112, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.00/1.42 skol4 [113, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.00/1.42 skol5 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.00/1.42 skol6 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.00/1.42 skol7 [116, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.00/1.42 skol8 [117, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.00/1.42 skol9 [118, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.00/1.42 skol10 [119, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.00/1.42 skol11 [120, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.00/1.42 skol12 [121, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.00/1.42 skol13 [122, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.00/1.42 skol14 [123, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.00/1.42 skol15 [124, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.00/1.42 skol16 [125, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.00/1.42 skol17 [126, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.00/1.42 skol18 [127, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.00/1.42 skol19 [128, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.00/1.42 skol20 [129, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.00/1.42 skol21 [130, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.00/1.42 skol22 [131, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.00/1.42 skol23 [132, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.00/1.42 skol24 [133, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.00/1.42 skol25 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.00/1.42 skol26 [135, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.00/1.42 skol27 [136, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.00/1.42 skol28 [137, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.00/1.42 skol29 [138, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.00/1.42 skol30 [139, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.00/1.42 skol31 [140, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.00/1.42 skol32 [141, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.00/1.42 skol33 [142, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.00/1.42 skol34 [143, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.00/1.42 skol35 [144, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.00/1.42 skol36 [145, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.00/1.42 skol37 [146, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.00/1.42 skol38 [147, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.00/1.42 skol39 [148, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.00/1.42 skol40 [149, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.00/1.42 skol41 [150, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.00/1.42 skol42 [151, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.00/1.42 skol43 [152, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.00/1.42 skol44 [153, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.00/1.42 skol45 [154, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.00/1.42 skol46 [155, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.00/1.42 skol47 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.00/1.42 skol48 [157, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.00/1.42 skol49 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.00/1.42 skol50 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.00/1.42 skol51 [160, 0] (w:1, o:18, a:1, s:1, b:1).
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Starting Search:
% 1.00/1.42
% 1.00/1.42 *** allocated 22500 integers for clauses
% 1.00/1.42 *** allocated 33750 integers for clauses
% 1.00/1.42 *** allocated 50625 integers for clauses
% 1.00/1.42 *** allocated 22500 integers for termspace/termends
% 1.00/1.42 *** allocated 75937 integers for clauses
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 33750 integers for termspace/termends
% 1.00/1.42 *** allocated 113905 integers for clauses
% 1.00/1.42 *** allocated 50625 integers for termspace/termends
% 1.00/1.42
% 1.00/1.42 Intermediate Status:
% 1.00/1.42 Generated: 3708
% 1.00/1.42 Kept: 2045
% 1.00/1.42 Inuse: 246
% 1.00/1.42 Deleted: 15
% 1.00/1.42 Deletedinuse: 0
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 170857 integers for clauses
% 1.00/1.42 *** allocated 75937 integers for termspace/termends
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 256285 integers for clauses
% 1.00/1.42
% 1.00/1.42 Intermediate Status:
% 1.00/1.42 Generated: 7115
% 1.00/1.42 Kept: 4045
% 1.00/1.42 Inuse: 432
% 1.00/1.42 Deleted: 26
% 1.00/1.42 Deletedinuse: 11
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 113905 integers for termspace/termends
% 1.00/1.42 *** allocated 384427 integers for clauses
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Intermediate Status:
% 1.00/1.42 Generated: 10447
% 1.00/1.42 Kept: 6097
% 1.00/1.42 Inuse: 554
% 1.00/1.42 Deleted: 35
% 1.00/1.42 Deletedinuse: 18
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 170857 integers for termspace/termends
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 576640 integers for clauses
% 1.00/1.42
% 1.00/1.42 Intermediate Status:
% 1.00/1.42 Generated: 15080
% 1.00/1.42 Kept: 8904
% 1.00/1.42 Inuse: 664
% 1.00/1.42 Deleted: 43
% 1.00/1.42 Deletedinuse: 26
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42 *** allocated 256285 integers for termspace/termends
% 1.00/1.42
% 1.00/1.42 Intermediate Status:
% 1.00/1.42 Generated: 21003
% 1.00/1.42 Kept: 11471
% 1.00/1.42 Inuse: 748
% 1.00/1.42 Deleted: 46
% 1.00/1.42 Deletedinuse: 28
% 1.00/1.42
% 1.00/1.42 Resimplifying inuse:
% 1.00/1.42 Done
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Bliksems!, er is een bewijs:
% 1.00/1.42 % SZS status Theorem
% 1.00/1.42 % SZS output start Refutation
% 1.00/1.42
% 1.00/1.42 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.00/1.42 (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 1.00/1.42 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.00/1.42 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.00/1.42 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.00/1.42 (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49, skol46 ),
% 1.00/1.42 alpha45( skol49, skol49 ) }.
% 1.00/1.42 (282) {G1,W6,D2,L2,V0,M2} I;d(279) { ! neq( skol46, nil ), alpha45( skol49
% 1.00/1.42 , skol49 ) }.
% 1.00/1.42 (283) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil ) }.
% 1.00/1.42 (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 1.00/1.42 (287) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), singletonP( Y ) }.
% 1.00/1.42 (732) {G1,W6,D2,L2,V3,M2} R(283,284) { ! alpha45( X, Y ), ! alpha45( Z, X )
% 1.00/1.42 }.
% 1.00/1.42 (738) {G2,W3,D2,L1,V1,M1} F(732) { ! alpha45( X, X ) }.
% 1.00/1.42 (1015) {G3,W3,D2,L1,V0,M1} S(282);r(738) { ! neq( skol46, nil ) }.
% 1.00/1.42 (1029) {G3,W3,D2,L1,V0,M1} S(281);r(738) { alpha44( skol49, skol46 ) }.
% 1.00/1.42 (1046) {G4,W2,D2,L1,V0,M1} R(1029,287) { singletonP( skol46 ) }.
% 1.00/1.42 (10878) {G4,W5,D2,L2,V0,M2} R(159,1015);r(275) { ! ssList( nil ), skol46
% 1.00/1.42 ==> nil }.
% 1.00/1.42 (11482) {G5,W3,D2,L1,V0,M1} S(10878);r(161) { skol46 ==> nil }.
% 1.00/1.42 (11483) {G6,W0,D0,L0,V0,M0} P(11482,1046);r(192) { }.
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 % SZS output end Refutation
% 1.00/1.42 found a proof!
% 1.00/1.42
% 1.00/1.42 *** allocated 864960 integers for clauses
% 1.00/1.42
% 1.00/1.42 Unprocessed initial clauses:
% 1.00/1.42
% 1.00/1.42 (11485) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.00/1.42 , ! X = Y }.
% 1.00/1.42 (11486) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11487) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.00/1.42 (11488) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.00/1.42 (11489) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.00/1.42 (11490) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.00/1.42 , Y ), ssList( skol2( Z, T ) ) }.
% 1.00/1.42 (11491) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.00/1.42 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.00/1.42 (11492) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.00/1.42 (11493) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.00/1.42 ) ) }.
% 1.00/1.42 (11494) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.00/1.42 ( X, Y, Z ) ) ) = X }.
% 1.00/1.42 (11495) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.00/1.42 , alpha1( X, Y, Z ) }.
% 1.00/1.42 (11496) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.00/1.42 skol4( Y ) ) }.
% 1.00/1.42 (11497) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.00/1.42 skol4( X ), nil ) = X }.
% 1.00/1.42 (11498) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.00/1.42 nil ) = X, singletonP( X ) }.
% 1.00/1.42 (11499) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.00/1.42 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.00/1.42 (11500) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.00/1.42 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.00/1.42 (11501) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.00/1.42 (11502) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.00/1.42 , Y ), ssList( skol6( Z, T ) ) }.
% 1.00/1.42 (11503) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.00/1.42 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.00/1.42 (11504) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.00/1.42 (11505) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.00/1.42 , Y ), ssList( skol7( Z, T ) ) }.
% 1.00/1.42 (11506) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.00/1.42 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.00/1.42 (11507) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.00/1.42 (11508) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.00/1.42 ) ) }.
% 1.00/1.42 (11509) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.00/1.42 skol8( X, Y, Z ) ) = X }.
% 1.00/1.42 (11510) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.00/1.42 , alpha2( X, Y, Z ) }.
% 1.00/1.42 (11511) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.00/1.42 Y ), alpha3( X, Y ) }.
% 1.00/1.42 (11512) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.00/1.42 cyclefreeP( X ) }.
% 1.00/1.42 (11513) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.00/1.42 cyclefreeP( X ) }.
% 1.00/1.42 (11514) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11515) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.00/1.42 (11516) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11517) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha28( X, Y, Z, T ) }.
% 1.00/1.42 (11518) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11519) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.00/1.42 alpha21( X, Y, Z ) }.
% 1.00/1.42 (11520) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha35( X, Y, Z, T, U ) }.
% 1.00/1.42 (11521) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11522) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.00/1.42 ), alpha28( X, Y, Z, T ) }.
% 1.00/1.42 (11523) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha41( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11524) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha35( X, Y, Z, T, U ) }.
% 1.00/1.42 (11525) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.00/1.42 (11526) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.00/1.42 (11527) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11528) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.00/1.42 W ) }.
% 1.00/1.42 (11529) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.00/1.42 X ) }.
% 1.00/1.42 (11530) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.00/1.42 (11531) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.00/1.42 (11532) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.00/1.42 ( Y ), alpha4( X, Y ) }.
% 1.00/1.42 (11533) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.00/1.42 totalorderP( X ) }.
% 1.00/1.42 (11534) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.00/1.42 totalorderP( X ) }.
% 1.00/1.42 (11535) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11536) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.00/1.42 (11537) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11538) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha29( X, Y, Z, T ) }.
% 1.00/1.42 (11539) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11540) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.00/1.42 alpha22( X, Y, Z ) }.
% 1.00/1.42 (11541) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha36( X, Y, Z, T, U ) }.
% 1.00/1.42 (11542) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11543) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.00/1.42 ), alpha29( X, Y, Z, T ) }.
% 1.00/1.42 (11544) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha42( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11545) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha36( X, Y, Z, T, U ) }.
% 1.00/1.42 (11546) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.00/1.42 (11547) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.00/1.42 (11548) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11549) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.00/1.42 W ) }.
% 1.00/1.42 (11550) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.00/1.42 }.
% 1.00/1.42 (11551) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.00/1.42 (11552) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.00/1.42 (11553) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.00/1.42 ( Y ), alpha5( X, Y ) }.
% 1.00/1.42 (11554) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.00/1.42 strictorderP( X ) }.
% 1.00/1.42 (11555) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.00/1.42 strictorderP( X ) }.
% 1.00/1.42 (11556) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11557) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.00/1.42 (11558) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11559) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha30( X, Y, Z, T ) }.
% 1.00/1.42 (11560) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11561) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.00/1.42 alpha23( X, Y, Z ) }.
% 1.00/1.42 (11562) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha37( X, Y, Z, T, U ) }.
% 1.00/1.42 (11563) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11564) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.00/1.42 ), alpha30( X, Y, Z, T ) }.
% 1.00/1.42 (11565) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha43( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11566) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha37( X, Y, Z, T, U ) }.
% 1.00/1.42 (11567) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.00/1.42 (11568) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.00/1.42 (11569) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11570) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.00/1.42 W ) }.
% 1.00/1.42 (11571) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.00/1.42 }.
% 1.00/1.42 (11572) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.00/1.42 (11573) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.00/1.42 (11574) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.00/1.42 ssItem( Y ), alpha6( X, Y ) }.
% 1.00/1.42 (11575) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.00/1.42 totalorderedP( X ) }.
% 1.00/1.42 (11576) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.00/1.42 totalorderedP( X ) }.
% 1.00/1.42 (11577) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11578) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.00/1.42 (11579) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11580) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha24( X, Y, Z, T ) }.
% 1.00/1.42 (11581) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11582) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.00/1.42 alpha15( X, Y, Z ) }.
% 1.00/1.42 (11583) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha31( X, Y, Z, T, U ) }.
% 1.00/1.42 (11584) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11585) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.00/1.42 ), alpha24( X, Y, Z, T ) }.
% 1.00/1.42 (11586) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha38( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11587) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha31( X, Y, Z, T, U ) }.
% 1.00/1.42 (11588) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.00/1.42 (11589) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.00/1.42 (11590) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11591) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.00/1.42 }.
% 1.00/1.42 (11592) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.00/1.42 ssItem( Y ), alpha7( X, Y ) }.
% 1.00/1.42 (11593) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.00/1.42 strictorderedP( X ) }.
% 1.00/1.42 (11594) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.00/1.42 strictorderedP( X ) }.
% 1.00/1.42 (11595) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11596) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.00/1.42 (11597) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11598) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha25( X, Y, Z, T ) }.
% 1.00/1.42 (11599) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11600) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.00/1.42 alpha16( X, Y, Z ) }.
% 1.00/1.42 (11601) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha32( X, Y, Z, T, U ) }.
% 1.00/1.42 (11602) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11603) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.00/1.42 ), alpha25( X, Y, Z, T ) }.
% 1.00/1.42 (11604) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha39( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11605) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha32( X, Y, Z, T, U ) }.
% 1.00/1.42 (11606) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.00/1.42 (11607) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.00/1.42 (11608) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11609) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.00/1.42 }.
% 1.00/1.42 (11610) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.00/1.42 ssItem( Y ), alpha8( X, Y ) }.
% 1.00/1.42 (11611) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.00/1.42 duplicatefreeP( X ) }.
% 1.00/1.42 (11612) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.00/1.42 duplicatefreeP( X ) }.
% 1.00/1.42 (11613) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11614) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.00/1.42 (11615) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11616) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha26( X, Y, Z, T ) }.
% 1.00/1.42 (11617) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11618) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.00/1.42 alpha17( X, Y, Z ) }.
% 1.00/1.42 (11619) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha33( X, Y, Z, T, U ) }.
% 1.00/1.42 (11620) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11621) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.00/1.42 ), alpha26( X, Y, Z, T ) }.
% 1.00/1.42 (11622) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.00/1.42 alpha40( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11623) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.00/1.42 alpha33( X, Y, Z, T, U ) }.
% 1.00/1.42 (11624) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.00/1.42 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.00/1.42 (11625) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.00/1.42 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.00/1.42 (11626) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.00/1.42 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11627) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.00/1.42 (11628) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.00/1.42 ( Y ), alpha9( X, Y ) }.
% 1.00/1.42 (11629) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.00/1.42 equalelemsP( X ) }.
% 1.00/1.42 (11630) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.00/1.42 equalelemsP( X ) }.
% 1.00/1.42 (11631) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.00/1.42 , Y, Z ) }.
% 1.00/1.42 (11632) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.00/1.42 (11633) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11634) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.00/1.42 alpha27( X, Y, Z, T ) }.
% 1.00/1.42 (11635) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.00/1.42 Z ) }.
% 1.00/1.42 (11636) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.00/1.42 alpha18( X, Y, Z ) }.
% 1.00/1.42 (11637) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.00/1.42 alpha34( X, Y, Z, T, U ) }.
% 1.00/1.42 (11638) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.00/1.42 X, Y, Z, T ) }.
% 1.00/1.42 (11639) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.00/1.42 ), alpha27( X, Y, Z, T ) }.
% 1.00/1.42 (11640) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.00/1.42 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.00/1.42 (11641) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.00/1.42 alpha34( X, Y, Z, T, U ) }.
% 1.00/1.42 (11642) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.00/1.42 (11643) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.00/1.42 , ! X = Y }.
% 1.00/1.42 (11644) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.00/1.42 , Y ) }.
% 1.00/1.42 (11645) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.00/1.42 Y, X ) ) }.
% 1.00/1.42 (11646) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.00/1.42 (11647) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.00/1.42 = X }.
% 1.00/1.42 (11648) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.00/1.42 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.00/1.42 (11649) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.00/1.42 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.00/1.42 (11650) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.00/1.42 ) }.
% 1.00/1.42 (11651) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.00/1.42 ) }.
% 1.00/1.42 (11652) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.00/1.42 skol43( X ) ) = X }.
% 1.00/1.42 (11653) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.00/1.42 Y, X ) }.
% 1.00/1.42 (11654) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.00/1.42 }.
% 1.00/1.42 (11655) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.00/1.42 X ) ) = Y }.
% 1.00/1.42 (11656) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.00/1.42 }.
% 1.00/1.42 (11657) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.00/1.42 X ) ) = X }.
% 1.00/1.42 (11658) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.00/1.42 , Y ) ) }.
% 1.00/1.42 (11659) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.00/1.42 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.00/1.42 (11660) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.00/1.42 (11661) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.00/1.42 , ! leq( Y, X ), X = Y }.
% 1.00/1.42 (11662) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.00/1.42 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.00/1.42 (11663) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.00/1.42 (11664) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.00/1.42 , leq( Y, X ) }.
% 1.00/1.42 (11665) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.00/1.42 , geq( X, Y ) }.
% 1.00/1.42 (11666) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.00/1.42 , ! lt( Y, X ) }.
% 1.00/1.42 (11667) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.00/1.42 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.00/1.42 (11668) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.00/1.42 , lt( Y, X ) }.
% 1.00/1.42 (11669) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.00/1.42 , gt( X, Y ) }.
% 1.00/1.42 (11670) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.00/1.42 (11671) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.00/1.42 (11672) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.00/1.42 (11673) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.00/1.42 (11674) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.00/1.42 (11675) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.00/1.42 (11676) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.00/1.42 (11677) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.00/1.42 (11678) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.00/1.42 (11679) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.00/1.42 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.00/1.42 (11680) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.00/1.42 (11681) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.00/1.42 (11682) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.00/1.42 (11683) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.00/1.42 , T ) }.
% 1.00/1.42 (11684) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.00/1.42 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.00/1.42 cons( Y, T ) ) }.
% 1.00/1.42 (11685) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.00/1.42 (11686) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.00/1.42 X }.
% 1.00/1.42 (11687) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.00/1.42 ) }.
% 1.00/1.42 (11688) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.00/1.42 (11689) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.00/1.42 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.00/1.42 (11690) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.00/1.42 (11691) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.00/1.42 (11692) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.00/1.42 (11693) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.00/1.42 }.
% 1.00/1.42 (11694) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.00/1.42 }.
% 1.00/1.42 (11695) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.00/1.42 (11696) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.00/1.42 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.00/1.42 (11697) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.00/1.42 (11698) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.00/1.42 }.
% 1.00/1.42 (11699) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.00/1.42 (11700) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.00/1.42 }.
% 1.00/1.42 (11701) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.00/1.42 }.
% 1.00/1.42 (11702) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.00/1.42 }.
% 1.00/1.42 (11703) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.00/1.42 (11704) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.00/1.42 }.
% 1.00/1.42 (11705) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.00/1.42 (11706) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.00/1.42 ) }.
% 1.00/1.42 (11707) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.00/1.42 (11708) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.00/1.42 ) }.
% 1.00/1.42 (11709) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.00/1.42 (11710) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.00/1.42 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.00/1.42 (11711) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.00/1.42 totalorderedP( cons( X, Y ) ) }.
% 1.00/1.42 (11712) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.00/1.42 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.00/1.42 (11713) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.00/1.42 (11714) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.00/1.42 (11715) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.00/1.42 }.
% 1.00/1.42 (11716) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.00/1.42 (11717) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.00/1.42 (11718) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.00/1.42 alpha19( X, Y ) }.
% 1.00/1.42 (11719) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.00/1.42 ) ) }.
% 1.00/1.42 (11720) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.00/1.42 (11721) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.00/1.42 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.00/1.42 (11722) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.00/1.42 strictorderedP( cons( X, Y ) ) }.
% 1.00/1.42 (11723) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.00/1.42 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.00/1.42 (11724) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.00/1.42 (11725) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.00/1.42 (11726) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.00/1.42 }.
% 1.00/1.42 (11727) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.00/1.42 (11728) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.00/1.42 (11729) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.00/1.42 alpha20( X, Y ) }.
% 1.00/1.42 (11730) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.00/1.42 ) ) }.
% 1.00/1.42 (11731) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.00/1.42 (11732) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.00/1.42 }.
% 1.00/1.42 (11733) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.00/1.42 (11734) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.00/1.42 ) }.
% 1.00/1.42 (11735) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.00/1.42 ) }.
% 1.00/1.42 (11736) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.00/1.42 ) }.
% 1.00/1.42 (11737) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.00/1.42 ) }.
% 1.00/1.42 (11738) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.00/1.42 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.00/1.42 (11739) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.00/1.42 X ) ) = X }.
% 1.00/1.42 (11740) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.00/1.42 (11741) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.00/1.42 (11742) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.00/1.42 = app( cons( Y, nil ), X ) }.
% 1.00/1.42 (11743) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.00/1.42 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.00/1.42 (11744) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.00/1.42 X, Y ), nil = Y }.
% 1.00/1.42 (11745) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.00/1.42 X, Y ), nil = X }.
% 1.00/1.42 (11746) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.00/1.42 nil = X, nil = app( X, Y ) }.
% 1.00/1.42 (11747) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.00/1.42 (11748) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.00/1.42 app( X, Y ) ) = hd( X ) }.
% 1.00/1.42 (11749) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.00/1.42 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.00/1.42 (11750) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.00/1.42 , ! geq( Y, X ), X = Y }.
% 1.00/1.42 (11751) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.00/1.42 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.00/1.42 (11752) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.00/1.42 (11753) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.00/1.42 (11754) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.00/1.42 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.00/1.42 (11755) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.00/1.42 , X = Y, lt( X, Y ) }.
% 1.00/1.42 (11756) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.00/1.42 , ! X = Y }.
% 1.00/1.42 (11757) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.00/1.42 , leq( X, Y ) }.
% 1.00/1.42 (11758) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.00/1.42 ( X, Y ), lt( X, Y ) }.
% 1.00/1.42 (11759) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.00/1.42 , ! gt( Y, X ) }.
% 1.00/1.42 (11760) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.00/1.42 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.00/1.42 (11761) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.00/1.42 (11762) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.00/1.42 (11763) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.00/1.42 (11764) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.00/1.42 (11765) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.00/1.42 (11766) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.00/1.42 (11767) {G0,W6,D2,L2,V0,M2} { alpha44( skol49, skol50 ), alpha45( skol49,
% 1.00/1.42 skol51 ) }.
% 1.00/1.42 (11768) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), alpha45( skol49,
% 1.00/1.42 skol51 ) }.
% 1.00/1.42 (11769) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), neq( X, nil ) }.
% 1.00/1.42 (11770) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 1.00/1.42 (11771) {G0,W9,D2,L3,V2,M3} { ! neq( X, nil ), neq( Y, nil ), alpha45( X,
% 1.00/1.42 Y ) }.
% 1.00/1.42 (11772) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( X, nil ) }.
% 1.00/1.42 (11773) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), singletonP( Y ) }.
% 1.00/1.42 (11774) {G0,W8,D2,L3,V2,M3} { ! neq( X, nil ), ! singletonP( Y ), alpha44
% 1.00/1.42 ( X, Y ) }.
% 1.00/1.42
% 1.00/1.42
% 1.00/1.42 Total Proof:
% 1.00/1.42
% 1.00/1.42 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.00/1.42 = Y, neq( X, Y ) }.
% 1.00/1.42 parent0: (11644) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 1.00/1.42 Y, neq( X, Y ) }.
% 1.00/1.42 substitution0:
% 1.00/1.42 X := X
% 1.00/1.42 Y := Y
% 1.00/1.42 end
% 1.00/1.42 permutation0:
% 1.00/1.42 0 ==> 0
% 1.00/1.42 1 ==> 1
% 1.00/1.42 2 ==> 2
% 1.00/1.42 3 ==> 3
% 1.00/1.42 end
% 1.00/1.42
% 1.00/1.42 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.00/1.42 parent0: (11646) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 1.00/1.44 parent0: (11677) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.00/1.44 parent0: (11761) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 eqswap: (12738) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.00/1.44 parent0[0]: (11765) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.00/1.44 parent0: (12738) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 eqswap: (13086) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.00/1.44 parent0[0]: (11766) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.00/1.44 parent0: (13086) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 paramod: (14011) {G1,W6,D2,L2,V0,M2} { alpha44( skol49, skol46 ), alpha45
% 1.00/1.44 ( skol49, skol51 ) }.
% 1.00/1.44 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.00/1.44 parent1[0; 2]: (11767) {G0,W6,D2,L2,V0,M2} { alpha44( skol49, skol50 ),
% 1.00/1.44 alpha45( skol49, skol51 ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 substitution1:
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 paramod: (14012) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), alpha44
% 1.00/1.44 ( skol49, skol46 ) }.
% 1.00/1.44 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.00/1.44 parent1[1; 2]: (14011) {G1,W6,D2,L2,V0,M2} { alpha44( skol49, skol46 ),
% 1.00/1.44 alpha45( skol49, skol51 ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 substitution1:
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49,
% 1.00/1.44 skol46 ), alpha45( skol49, skol49 ) }.
% 1.00/1.44 parent0: (14012) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), alpha44
% 1.00/1.44 ( skol49, skol46 ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 1
% 1.00/1.44 1 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 paramod: (14656) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), ! neq(
% 1.00/1.44 skol46, nil ) }.
% 1.00/1.44 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.00/1.44 parent1[1; 2]: (11768) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), alpha45
% 1.00/1.44 ( skol49, skol51 ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 substitution1:
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(279) { ! neq( skol46, nil ),
% 1.00/1.44 alpha45( skol49, skol49 ) }.
% 1.00/1.44 parent0: (14656) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), ! neq(
% 1.00/1.44 skol46, nil ) }.
% 1.00/1.44 substitution0:
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 1
% 1.00/1.44 1 ==> 0
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (283) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil )
% 1.00/1.44 }.
% 1.00/1.44 parent0: (11769) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), neq( X, nil )
% 1.00/1.44 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 X := X
% 1.00/1.44 Y := Y
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 1 ==> 1
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil
% 1.00/1.44 ) }.
% 1.00/1.44 parent0: (11770) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! neq( Y, nil )
% 1.00/1.44 }.
% 1.00/1.44 substitution0:
% 1.00/1.44 X := X
% 1.00/1.44 Y := Y
% 1.00/1.44 end
% 1.00/1.44 permutation0:
% 1.00/1.44 0 ==> 0
% 1.00/1.44 1 ==> 1
% 1.00/1.44 end
% 1.00/1.44
% 1.00/1.44 subsumption: (287) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), singletonP( Y
% 1.00/1.45 ) }.
% 1.00/1.45 parent0: (11773) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), singletonP( Y )
% 1.00/1.45 }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := X
% 1.00/1.45 Y := Y
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 1 ==> 1
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15701) {G1,W6,D2,L2,V3,M2} { ! alpha45( X, Y ), ! alpha45( Y
% 1.00/1.45 , Z ) }.
% 1.00/1.45 parent0[1]: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil
% 1.00/1.45 ) }.
% 1.00/1.45 parent1[1]: (283) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil )
% 1.00/1.45 }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := X
% 1.00/1.45 Y := Y
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 X := Y
% 1.00/1.45 Y := Z
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (732) {G1,W6,D2,L2,V3,M2} R(283,284) { ! alpha45( X, Y ), !
% 1.00/1.45 alpha45( Z, X ) }.
% 1.00/1.45 parent0: (15701) {G1,W6,D2,L2,V3,M2} { ! alpha45( X, Y ), ! alpha45( Y, Z
% 1.00/1.45 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := Z
% 1.00/1.45 Y := X
% 1.00/1.45 Z := Y
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 1
% 1.00/1.45 1 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 factor: (15703) {G1,W3,D2,L1,V1,M1} { ! alpha45( X, X ) }.
% 1.00/1.45 parent0[0, 1]: (732) {G1,W6,D2,L2,V3,M2} R(283,284) { ! alpha45( X, Y ), !
% 1.00/1.45 alpha45( Z, X ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := X
% 1.00/1.45 Y := X
% 1.00/1.45 Z := X
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (738) {G2,W3,D2,L1,V1,M1} F(732) { ! alpha45( X, X ) }.
% 1.00/1.45 parent0: (15703) {G1,W3,D2,L1,V1,M1} { ! alpha45( X, X ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := X
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15704) {G2,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 1.00/1.45 parent0[0]: (738) {G2,W3,D2,L1,V1,M1} F(732) { ! alpha45( X, X ) }.
% 1.00/1.45 parent1[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(279) { ! neq( skol46, nil ),
% 1.00/1.45 alpha45( skol49, skol49 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := skol49
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (1015) {G3,W3,D2,L1,V0,M1} S(282);r(738) { ! neq( skol46, nil
% 1.00/1.45 ) }.
% 1.00/1.45 parent0: (15704) {G2,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15705) {G2,W3,D2,L1,V0,M1} { alpha44( skol49, skol46 ) }.
% 1.00/1.45 parent0[0]: (738) {G2,W3,D2,L1,V1,M1} F(732) { ! alpha45( X, X ) }.
% 1.00/1.45 parent1[1]: (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49,
% 1.00/1.45 skol46 ), alpha45( skol49, skol49 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := skol49
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (1029) {G3,W3,D2,L1,V0,M1} S(281);r(738) { alpha44( skol49,
% 1.00/1.45 skol46 ) }.
% 1.00/1.45 parent0: (15705) {G2,W3,D2,L1,V0,M1} { alpha44( skol49, skol46 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15706) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 1.00/1.45 parent0[0]: (287) {G0,W5,D2,L2,V2,M2} I { ! alpha44( X, Y ), singletonP( Y
% 1.00/1.45 ) }.
% 1.00/1.45 parent1[0]: (1029) {G3,W3,D2,L1,V0,M1} S(281);r(738) { alpha44( skol49,
% 1.00/1.45 skol46 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := skol49
% 1.00/1.45 Y := skol46
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (1046) {G4,W2,D2,L1,V0,M1} R(1029,287) { singletonP( skol46 )
% 1.00/1.45 }.
% 1.00/1.45 parent0: (15706) {G1,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 eqswap: (15707) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList( Y )
% 1.00/1.45 , neq( X, Y ) }.
% 1.00/1.45 parent0[2]: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.00/1.45 = Y, neq( X, Y ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 X := X
% 1.00/1.45 Y := Y
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15708) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 1.00/1.45 , ! ssList( nil ) }.
% 1.00/1.45 parent0[0]: (1015) {G3,W3,D2,L1,V0,M1} S(282);r(738) { ! neq( skol46, nil )
% 1.00/1.45 }.
% 1.00/1.45 parent1[3]: (15707) {G0,W10,D2,L4,V2,M4} { Y = X, ! ssList( X ), ! ssList
% 1.00/1.45 ( Y ), neq( X, Y ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 X := skol46
% 1.00/1.45 Y := nil
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15709) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 1.00/1.45 }.
% 1.00/1.45 parent0[1]: (15708) {G1,W7,D2,L3,V0,M3} { nil = skol46, ! ssList( skol46 )
% 1.00/1.45 , ! ssList( nil ) }.
% 1.00/1.45 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 eqswap: (15710) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 1.00/1.45 parent0[0]: (15709) {G1,W5,D2,L2,V0,M2} { nil = skol46, ! ssList( nil )
% 1.00/1.45 }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (10878) {G4,W5,D2,L2,V0,M2} R(159,1015);r(275) { ! ssList( nil
% 1.00/1.45 ), skol46 ==> nil }.
% 1.00/1.45 parent0: (15710) {G1,W5,D2,L2,V0,M2} { skol46 = nil, ! ssList( nil ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 1
% 1.00/1.45 1 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15712) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 1.00/1.45 parent0[0]: (10878) {G4,W5,D2,L2,V0,M2} R(159,1015);r(275) { ! ssList( nil
% 1.00/1.45 ), skol46 ==> nil }.
% 1.00/1.45 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (11482) {G5,W3,D2,L1,V0,M1} S(10878);r(161) { skol46 ==> nil
% 1.00/1.45 }.
% 1.00/1.45 parent0: (15712) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 0 ==> 0
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 paramod: (15715) {G5,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 1.00/1.45 parent0[0]: (11482) {G5,W3,D2,L1,V0,M1} S(10878);r(161) { skol46 ==> nil
% 1.00/1.45 }.
% 1.00/1.45 parent1[0; 1]: (1046) {G4,W2,D2,L1,V0,M1} R(1029,287) { singletonP( skol46
% 1.00/1.45 ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 resolution: (15716) {G1,W0,D0,L0,V0,M0} { }.
% 1.00/1.45 parent0[0]: (192) {G0,W2,D2,L1,V0,M1} I { ! singletonP( nil ) }.
% 1.00/1.45 parent1[0]: (15715) {G5,W2,D2,L1,V0,M1} { singletonP( nil ) }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 substitution1:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 subsumption: (11483) {G6,W0,D0,L0,V0,M0} P(11482,1046);r(192) { }.
% 1.00/1.45 parent0: (15716) {G1,W0,D0,L0,V0,M0} { }.
% 1.00/1.45 substitution0:
% 1.00/1.45 end
% 1.00/1.45 permutation0:
% 1.00/1.45 end
% 1.00/1.45
% 1.00/1.45 Proof check complete!
% 1.00/1.45
% 1.00/1.45 Memory use:
% 1.00/1.45
% 1.00/1.45 space for terms: 192202
% 1.00/1.45 space for clauses: 571819
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 clauses generated: 21071
% 1.00/1.45 clauses kept: 11484
% 1.00/1.45 clauses selected: 750
% 1.00/1.45 clauses deleted: 55
% 1.00/1.45 clauses inuse deleted: 36
% 1.00/1.45
% 1.00/1.45 subsentry: 38902
% 1.00/1.45 literals s-matched: 24430
% 1.00/1.45 literals matched: 21579
% 1.00/1.45 full subsumption: 12747
% 1.00/1.45
% 1.00/1.45 checksum: -593162749
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 Bliksem ended
%------------------------------------------------------------------------------