TSTP Solution File: SWC256+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:35:15 EDT 2022
% Result : Theorem 2.47s 2.84s
% Output : Refutation 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 15:49:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.12 { ssItem( skol1 ) }.
% 0.72/1.12 { ssItem( skol48 ) }.
% 0.72/1.12 { ! skol1 = skol48 }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.12 Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.12 ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.12 ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.12 = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.12 , Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.12 segmentP( X, Y ) }.
% 0.72/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, leq( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, lt( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, ! Y = Z }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.12 Z }.
% 0.72/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.12 { ssList( nil ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.12 ) = cons( T, Y ), Z = T }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.12 ) = cons( T, Y ), Y = X }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.12 ( cons( Z, Y ), X ) }.
% 0.72/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.12 , leq( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.12 lt( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.12 app( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.12 app( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.12 , X = Y, memberP( Z, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.12 ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.12 cons( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.12 { ! singletonP( nil ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.12 = Y }.
% 0.72/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.12 Y }.
% 0.72/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.12 ( app( Z, X ), Y ) }.
% 0.72/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.12 Y }.
% 0.72/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.12 { cyclefreeP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.12 { totalorderP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.12 { strictorderP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.12 { totalorderedP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.12 alpha10( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.12 .
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.12 Y ) ) }.
% 0.72/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.12 { strictorderedP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.12 alpha11( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.12 .
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.12 , Y ) ) }.
% 0.72/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.12 { duplicatefreeP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.12 { equalelemsP( nil ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.12 ( Y ) = tl( X ), Y = X }.
% 0.72/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.12 , Z = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.12 , Z = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.12 ( X, app( Y, Z ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.12 Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.12 , geq( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.12 , lt( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.12 gt( X, Z ) }.
% 0.72/1.12 { ssList( skol46 ) }.
% 0.72/1.12 { ssList( skol50 ) }.
% 0.72/1.12 { ssList( skol51 ) }.
% 0.72/1.12 { ssList( skol52 ) }.
% 0.72/1.12 { skol50 = skol52 }.
% 0.72/1.12 { skol46 = skol51 }.
% 0.72/1.12 { neq( skol50, nil ) }.
% 0.72/1.12 { ! singletonP( skol46 ) }.
% 0.72/1.12 { alpha44( skol51, skol52 ), nil = skol52 }.
% 0.72/1.12 { alpha44( skol51, skol52 ), nil = skol51 }.
% 0.72/1.12 { ! alpha44( X, Y ), ssItem( skol47( Z, T ) ) }.
% 0.72/1.12 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.72/1.12 { ! alpha44( X, Y ), cons( skol47( X, Y ), nil ) = X }.
% 0.72/1.12 { ! ssItem( Z ), ! cons( Z, nil ) = X, ! memberP( Y, Z ), alpha44( X, Y ) }
% 0.72/1.12 .
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for clauses
% 0.72/1.12 percentage equality = 0.130435, percentage horn = 0.757785
% 0.72/1.12 This is a problem with some equality
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 0
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.12 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.72/1.12 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.12 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.12 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.72/1.12 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.72/1.12 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.32/1.69 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.32/1.69 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.32/1.69 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.32/1.69 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.32/1.69 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.32/1.69 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.32/1.69 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.32/1.69 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.32/1.69 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.32/1.69 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.32/1.69 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.32/1.69 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.32/1.69 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.32/1.69 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.32/1.69 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.32/1.69 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.32/1.69 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.32/1.69 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.32/1.69 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.32/1.69 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.32/1.69 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.32/1.69 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.32/1.69 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.32/1.69 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.32/1.69 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.32/1.69 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.32/1.69 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.32/1.69 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.32/1.69 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.32/1.69 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.32/1.69 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.32/1.69 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.32/1.69 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.32/1.69 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.32/1.69 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.32/1.69 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.32/1.69 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.32/1.69 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.32/1.69 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.32/1.69 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.32/1.69 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.32/1.69 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.32/1.69 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.32/1.69 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.32/1.69 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.32/1.69 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.32/1.69 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.32/1.69 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.32/1.69 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.32/1.69 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.32/1.69 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.32/1.69 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.32/1.69 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.32/1.69 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.32/1.69 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.32/1.69 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.32/1.69 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.32/1.69 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.32/1.69 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.32/1.69 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.32/1.69 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.32/1.69 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.32/1.69 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.32/1.69 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.32/1.69 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.32/1.69 skol5 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.32/1.69 skol6 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.32/1.69 skol7 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.32/1.69 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.32/1.69 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.32/1.69 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.32/1.69 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.32/1.69 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.32/1.69 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.32/1.69 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.32/1.69 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.32/1.69 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.32/1.69 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.32/1.69 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.32/1.69 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.37/2.83 skol20 [128, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.37/2.83 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.37/2.83 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.37/2.83 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.37/2.83 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.37/2.83 skol25 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.37/2.83 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.37/2.83 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.37/2.83 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.37/2.83 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.37/2.83 skol30 [138, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.37/2.83 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.37/2.83 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.37/2.83 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.37/2.83 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.37/2.83 skol35 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.37/2.83 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.37/2.83 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.37/2.83 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.37/2.83 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.37/2.83 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.37/2.83 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.37/2.83 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.37/2.83 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.37/2.83 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.37/2.83 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.37/2.83 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.37/2.83 skol47 [155, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.37/2.83 skol48 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.37/2.83 skol49 [157, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.37/2.83 skol50 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.37/2.83 skol51 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.37/2.83 skol52 [160, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.37/2.83
% 2.37/2.83
% 2.37/2.83 Starting Search:
% 2.37/2.83
% 2.37/2.83 *** allocated 22500 integers for clauses
% 2.37/2.83 *** allocated 33750 integers for clauses
% 2.37/2.83 *** allocated 50625 integers for clauses
% 2.37/2.83 *** allocated 22500 integers for termspace/termends
% 2.37/2.83 *** allocated 75937 integers for clauses
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 33750 integers for termspace/termends
% 2.37/2.83 *** allocated 113905 integers for clauses
% 2.37/2.83 *** allocated 50625 integers for termspace/termends
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 3824
% 2.37/2.83 Kept: 2017
% 2.37/2.83 Inuse: 214
% 2.37/2.83 Deleted: 8
% 2.37/2.83 Deletedinuse: 3
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 170857 integers for clauses
% 2.37/2.83 *** allocated 75937 integers for termspace/termends
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 256285 integers for clauses
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 6785
% 2.37/2.83 Kept: 4021
% 2.37/2.83 Inuse: 381
% 2.37/2.83 Deleted: 11
% 2.37/2.83 Deletedinuse: 6
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 113905 integers for termspace/termends
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 384427 integers for clauses
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 9983
% 2.37/2.83 Kept: 6024
% 2.37/2.83 Inuse: 490
% 2.37/2.83 Deleted: 21
% 2.37/2.83 Deletedinuse: 16
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 170857 integers for termspace/termends
% 2.37/2.83 *** allocated 576640 integers for clauses
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 13451
% 2.37/2.83 Kept: 8059
% 2.37/2.83 Inuse: 590
% 2.37/2.83 Deleted: 22
% 2.37/2.83 Deletedinuse: 16
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 17529
% 2.37/2.83 Kept: 10784
% 2.37/2.83 Inuse: 673
% 2.37/2.83 Deleted: 36
% 2.37/2.83 Deletedinuse: 28
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 256285 integers for termspace/termends
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 864960 integers for clauses
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 21973
% 2.37/2.83 Kept: 12860
% 2.37/2.83 Inuse: 743
% 2.37/2.83 Deleted: 41
% 2.37/2.83 Deletedinuse: 33
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 29637
% 2.37/2.83 Kept: 14903
% 2.37/2.83 Inuse: 777
% 2.37/2.83 Deleted: 51
% 2.37/2.83 Deletedinuse: 42
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 384427 integers for termspace/termends
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 36737
% 2.37/2.83 Kept: 16927
% 2.37/2.83 Inuse: 835
% 2.37/2.83 Deleted: 66
% 2.37/2.83 Deletedinuse: 55
% 2.37/2.83
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83 *** allocated 1297440 integers for clauses
% 2.37/2.83 Resimplifying inuse:
% 2.37/2.83 Done
% 2.37/2.83
% 2.37/2.83
% 2.37/2.83 Intermediate Status:
% 2.37/2.83 Generated: 45423
% 2.37/2.83 Kept: 19059
% 2.37/2.83 Inuse: 896
% 2.47/2.83 Deleted: 84
% 2.47/2.83 Deletedinuse: 59
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 Resimplifying clauses:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 Intermediate Status:
% 2.47/2.83 Generated: 54683
% 2.47/2.83 Kept: 21088
% 2.47/2.83 Inuse: 928
% 2.47/2.83 Deleted: 1716
% 2.47/2.83 Deletedinuse: 60
% 2.47/2.83
% 2.47/2.83 *** allocated 576640 integers for termspace/termends
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 Intermediate Status:
% 2.47/2.83 Generated: 64744
% 2.47/2.83 Kept: 23093
% 2.47/2.83 Inuse: 964
% 2.47/2.83 Deleted: 1720
% 2.47/2.83 Deletedinuse: 61
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 Intermediate Status:
% 2.47/2.83 Generated: 71752
% 2.47/2.83 Kept: 25157
% 2.47/2.83 Inuse: 1006
% 2.47/2.83 Deleted: 1720
% 2.47/2.83 Deletedinuse: 61
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83
% 2.47/2.83 Intermediate Status:
% 2.47/2.83 Generated: 78672
% 2.47/2.83 Kept: 27172
% 2.47/2.83 Inuse: 1046
% 2.47/2.83 Deleted: 1721
% 2.47/2.83 Deletedinuse: 62
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 *** allocated 1946160 integers for clauses
% 2.47/2.83
% 2.47/2.83 Intermediate Status:
% 2.47/2.83 Generated: 89407
% 2.47/2.83 Kept: 29467
% 2.47/2.83 Inuse: 1071
% 2.47/2.83 Deleted: 1722
% 2.47/2.83 Deletedinuse: 63
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 Resimplifying inuse:
% 2.47/2.83 Done
% 2.47/2.83
% 2.47/2.83 *** allocated 864960 integers for termspace/termends
% 2.47/2.84
% 2.47/2.84 Intermediate Status:
% 2.47/2.84 Generated: 101662
% 2.47/2.84 Kept: 31942
% 2.47/2.84 Inuse: 1108
% 2.47/2.84 Deleted: 1728
% 2.47/2.84 Deletedinuse: 66
% 2.47/2.84
% 2.47/2.84 Resimplifying inuse:
% 2.47/2.84 Done
% 2.47/2.84
% 2.47/2.84 Resimplifying inuse:
% 2.47/2.84 Done
% 2.47/2.84
% 2.47/2.84
% 2.47/2.84 Bliksems!, er is een bewijs:
% 2.47/2.84 % SZS status Theorem
% 2.47/2.84 % SZS output start Refutation
% 2.47/2.84
% 2.47/2.84 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 2.47/2.84 ) = X, singletonP( X ) }.
% 2.47/2.84 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.47/2.84 , ! X = Y }.
% 2.47/2.84 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 2.47/2.84 , X ) ) }.
% 2.47/2.84 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.84 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.84 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.84 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 2.47/2.84 (282) {G0,W2,D2,L1,V0,M1} I { ! singletonP( skol46 ) }.
% 2.47/2.84 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==> nil, alpha44
% 2.47/2.84 ( skol46, skol50 ) }.
% 2.47/2.84 (285) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.47/2.84 }.
% 2.47/2.84 (287) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47( X, Y ), nil
% 2.47/2.84 ) ==> X }.
% 2.47/2.84 (323) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X ) }.
% 2.47/2.84 (637) {G2,W3,D2,L1,V0,M1} R(323,161) { ! neq( nil, nil ) }.
% 2.47/2.84 (852) {G3,W3,D2,L1,V0,M1} P(283,281);r(637) { alpha44( skol46, skol50 ) }.
% 2.47/2.84 (13950) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.84 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 2.47/2.84 }.
% 2.47/2.84 (13995) {G2,W6,D3,L2,V1,M2} Q(13950);f;r(161) { ! ssItem( X ), singletonP(
% 2.47/2.84 cons( X, nil ) ) }.
% 2.47/2.84 (33104) {G4,W4,D3,L1,V2,M1} R(285,852) { ssItem( skol47( X, Y ) ) }.
% 2.47/2.84 (33358) {G5,W5,D2,L2,V2,M2} P(287,13995);r(33104) { singletonP( X ), !
% 2.47/2.84 alpha44( X, Y ) }.
% 2.47/2.84 (33441) {G6,W0,D0,L0,V0,M0} R(33358,852);r(282) { }.
% 2.47/2.84
% 2.47/2.84
% 2.47/2.84 % SZS output end Refutation
% 2.47/2.84 found a proof!
% 2.47/2.84
% 2.47/2.84
% 2.47/2.84 Unprocessed initial clauses:
% 2.47/2.84
% 2.47/2.84 (33443) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.47/2.84 , ! X = Y }.
% 2.47/2.84 (33444) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33445) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.47/2.84 (33446) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 2.47/2.84 (33447) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 2.47/2.84 (33448) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.47/2.84 , Y ), ssList( skol2( Z, T ) ) }.
% 2.47/2.84 (33449) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.47/2.84 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.47/2.84 (33450) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.47/2.84 (33451) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.47/2.84 ) ) }.
% 2.47/2.84 (33452) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.47/2.84 ( X, Y, Z ) ) ) = X }.
% 2.47/2.84 (33453) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.47/2.84 , alpha1( X, Y, Z ) }.
% 2.47/2.84 (33454) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.47/2.84 skol4( Y ) ) }.
% 2.47/2.84 (33455) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.47/2.84 skol4( X ), nil ) = X }.
% 2.47/2.84 (33456) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.47/2.84 nil ) = X, singletonP( X ) }.
% 2.47/2.84 (33457) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.84 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.47/2.84 (33458) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.84 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.47/2.84 (33459) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.47/2.84 (33460) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.84 , Y ), ssList( skol6( Z, T ) ) }.
% 2.47/2.84 (33461) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.84 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.47/2.84 (33462) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.47/2.84 (33463) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.84 , Y ), ssList( skol7( Z, T ) ) }.
% 2.47/2.84 (33464) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.84 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.47/2.84 (33465) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.47/2.84 (33466) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.47/2.84 ) ) }.
% 2.47/2.84 (33467) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.47/2.84 skol8( X, Y, Z ) ) = X }.
% 2.47/2.84 (33468) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.47/2.84 , alpha2( X, Y, Z ) }.
% 2.47/2.84 (33469) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.47/2.84 Y ), alpha3( X, Y ) }.
% 2.47/2.84 (33470) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.47/2.84 cyclefreeP( X ) }.
% 2.47/2.84 (33471) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.47/2.84 cyclefreeP( X ) }.
% 2.47/2.84 (33472) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33473) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.47/2.84 (33474) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33475) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha28( X, Y, Z, T ) }.
% 2.47/2.84 (33476) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33477) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.47/2.84 alpha21( X, Y, Z ) }.
% 2.47/2.84 (33478) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha35( X, Y, Z, T, U ) }.
% 2.47/2.84 (33479) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33480) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.47/2.84 ), alpha28( X, Y, Z, T ) }.
% 2.47/2.84 (33481) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha41( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33482) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha35( X, Y, Z, T, U ) }.
% 2.47/2.84 (33483) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.47/2.84 (33484) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.47/2.84 (33485) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33486) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.47/2.84 W ) }.
% 2.47/2.84 (33487) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.47/2.84 X ) }.
% 2.47/2.84 (33488) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.47/2.84 (33489) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.47/2.84 (33490) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.47/2.84 ( Y ), alpha4( X, Y ) }.
% 2.47/2.84 (33491) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.47/2.84 totalorderP( X ) }.
% 2.47/2.84 (33492) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.47/2.84 totalorderP( X ) }.
% 2.47/2.84 (33493) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33494) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.47/2.84 (33495) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33496) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha29( X, Y, Z, T ) }.
% 2.47/2.84 (33497) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33498) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.47/2.84 alpha22( X, Y, Z ) }.
% 2.47/2.84 (33499) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha36( X, Y, Z, T, U ) }.
% 2.47/2.84 (33500) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33501) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.47/2.84 ), alpha29( X, Y, Z, T ) }.
% 2.47/2.84 (33502) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha42( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33503) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha36( X, Y, Z, T, U ) }.
% 2.47/2.84 (33504) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.47/2.84 (33505) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.47/2.84 (33506) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33507) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.47/2.84 W ) }.
% 2.47/2.84 (33508) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.47/2.84 }.
% 2.47/2.84 (33509) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.47/2.84 (33510) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.47/2.84 (33511) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.47/2.84 ( Y ), alpha5( X, Y ) }.
% 2.47/2.84 (33512) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.47/2.84 strictorderP( X ) }.
% 2.47/2.84 (33513) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.47/2.84 strictorderP( X ) }.
% 2.47/2.84 (33514) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33515) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.47/2.84 (33516) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33517) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha30( X, Y, Z, T ) }.
% 2.47/2.84 (33518) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33519) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.47/2.84 alpha23( X, Y, Z ) }.
% 2.47/2.84 (33520) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha37( X, Y, Z, T, U ) }.
% 2.47/2.84 (33521) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33522) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.47/2.84 ), alpha30( X, Y, Z, T ) }.
% 2.47/2.84 (33523) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha43( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33524) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha37( X, Y, Z, T, U ) }.
% 2.47/2.84 (33525) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.47/2.84 (33526) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.47/2.84 (33527) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33528) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.47/2.84 W ) }.
% 2.47/2.84 (33529) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.47/2.84 }.
% 2.47/2.84 (33530) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.47/2.84 (33531) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.47/2.84 (33532) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.47/2.84 ssItem( Y ), alpha6( X, Y ) }.
% 2.47/2.84 (33533) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.47/2.84 totalorderedP( X ) }.
% 2.47/2.84 (33534) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.47/2.84 totalorderedP( X ) }.
% 2.47/2.84 (33535) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33536) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.47/2.84 (33537) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33538) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha24( X, Y, Z, T ) }.
% 2.47/2.84 (33539) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33540) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.47/2.84 alpha15( X, Y, Z ) }.
% 2.47/2.84 (33541) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha31( X, Y, Z, T, U ) }.
% 2.47/2.84 (33542) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33543) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.47/2.84 ), alpha24( X, Y, Z, T ) }.
% 2.47/2.84 (33544) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha38( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33545) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha31( X, Y, Z, T, U ) }.
% 2.47/2.84 (33546) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.47/2.84 (33547) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.47/2.84 (33548) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33549) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.47/2.84 }.
% 2.47/2.84 (33550) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.47/2.84 ssItem( Y ), alpha7( X, Y ) }.
% 2.47/2.84 (33551) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.47/2.84 strictorderedP( X ) }.
% 2.47/2.84 (33552) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.47/2.84 strictorderedP( X ) }.
% 2.47/2.84 (33553) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33554) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.47/2.84 (33555) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33556) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha25( X, Y, Z, T ) }.
% 2.47/2.84 (33557) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33558) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.47/2.84 alpha16( X, Y, Z ) }.
% 2.47/2.84 (33559) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha32( X, Y, Z, T, U ) }.
% 2.47/2.84 (33560) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33561) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.47/2.84 ), alpha25( X, Y, Z, T ) }.
% 2.47/2.84 (33562) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha39( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33563) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha32( X, Y, Z, T, U ) }.
% 2.47/2.84 (33564) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.47/2.84 (33565) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.47/2.84 (33566) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33567) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.47/2.84 }.
% 2.47/2.84 (33568) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.47/2.84 ssItem( Y ), alpha8( X, Y ) }.
% 2.47/2.84 (33569) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.47/2.84 duplicatefreeP( X ) }.
% 2.47/2.84 (33570) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.47/2.84 duplicatefreeP( X ) }.
% 2.47/2.84 (33571) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33572) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.47/2.84 (33573) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33574) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha26( X, Y, Z, T ) }.
% 2.47/2.84 (33575) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33576) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.47/2.84 alpha17( X, Y, Z ) }.
% 2.47/2.84 (33577) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha33( X, Y, Z, T, U ) }.
% 2.47/2.84 (33578) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33579) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.47/2.84 ), alpha26( X, Y, Z, T ) }.
% 2.47/2.84 (33580) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.47/2.84 alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33581) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.47/2.84 alpha33( X, Y, Z, T, U ) }.
% 2.47/2.84 (33582) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.47/2.84 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.47/2.84 (33583) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.47/2.84 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.47/2.84 (33584) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.47/2.84 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33585) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.47/2.84 (33586) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.47/2.84 ( Y ), alpha9( X, Y ) }.
% 2.47/2.84 (33587) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.47/2.84 equalelemsP( X ) }.
% 2.47/2.84 (33588) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.47/2.84 equalelemsP( X ) }.
% 2.47/2.84 (33589) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.47/2.84 , Y, Z ) }.
% 2.47/2.84 (33590) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.47/2.84 (33591) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33592) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.47/2.84 alpha27( X, Y, Z, T ) }.
% 2.47/2.84 (33593) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.47/2.84 Z ) }.
% 2.47/2.84 (33594) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.47/2.84 alpha18( X, Y, Z ) }.
% 2.47/2.84 (33595) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.47/2.84 alpha34( X, Y, Z, T, U ) }.
% 2.47/2.84 (33596) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.47/2.84 X, Y, Z, T ) }.
% 2.47/2.84 (33597) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.47/2.84 ), alpha27( X, Y, Z, T ) }.
% 2.47/2.84 (33598) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.47/2.84 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.47/2.84 (33599) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.47/2.84 alpha34( X, Y, Z, T, U ) }.
% 2.47/2.84 (33600) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.47/2.84 (33601) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.47/2.84 , ! X = Y }.
% 2.47/2.84 (33602) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.47/2.84 , Y ) }.
% 2.47/2.84 (33603) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.47/2.84 Y, X ) ) }.
% 2.47/2.84 (33604) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.47/2.84 (33605) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.47/2.84 = X }.
% 2.47/2.84 (33606) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.84 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.47/2.84 (33607) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.84 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.47/2.84 (33608) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.47/2.84 ) }.
% 2.47/2.84 (33609) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 2.47/2.84 ) }.
% 2.47/2.84 (33610) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 2.47/2.84 skol43( X ) ) = X }.
% 2.47/2.84 (33611) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.47/2.84 Y, X ) }.
% 2.47/2.84 (33612) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.47/2.84 }.
% 2.47/2.84 (33613) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.47/2.84 X ) ) = Y }.
% 2.47/2.84 (33614) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.47/2.84 }.
% 2.47/2.84 (33615) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.47/2.84 X ) ) = X }.
% 2.47/2.84 (33616) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.47/2.84 , Y ) ) }.
% 2.47/2.84 (33617) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.47/2.84 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.47/2.84 (33618) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.47/2.84 (33619) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.47/2.84 , ! leq( Y, X ), X = Y }.
% 2.47/2.84 (33620) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.84 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.47/2.84 (33621) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.47/2.84 (33622) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.47/2.84 , leq( Y, X ) }.
% 2.47/2.84 (33623) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.47/2.84 , geq( X, Y ) }.
% 2.47/2.84 (33624) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.84 , ! lt( Y, X ) }.
% 2.47/2.84 (33625) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.84 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.47/2.84 (33626) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.47/2.84 , lt( Y, X ) }.
% 2.47/2.84 (33627) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.47/2.84 , gt( X, Y ) }.
% 2.47/2.84 (33628) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.47/2.84 (33629) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.47/2.84 (33630) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.47/2.84 (33631) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.47/2.84 (33632) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.47/2.84 (33633) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.47/2.84 (33634) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.47/2.84 (33635) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.47/2.84 (33636) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.47/2.84 (33637) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.47/2.84 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.47/2.84 (33638) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.47/2.84 (33639) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.47/2.84 (33640) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.47/2.84 (33641) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.47/2.84 , T ) }.
% 2.47/2.84 (33642) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.47/2.84 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.47/2.84 cons( Y, T ) ) }.
% 2.47/2.84 (33643) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.47/2.84 (33644) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.47/2.84 X }.
% 2.47/2.84 (33645) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.47/2.84 ) }.
% 2.47/2.84 (33646) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.47/2.84 (33647) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.47/2.84 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.47/2.84 (33648) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.47/2.84 (33649) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.47/2.84 (33650) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.47/2.84 (33651) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.47/2.84 }.
% 2.47/2.84 (33652) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.47/2.84 }.
% 2.47/2.84 (33653) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.47/2.84 (33654) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.47/2.84 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.47/2.84 (33655) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.47/2.84 (33656) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.47/2.84 }.
% 2.47/2.84 (33657) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.47/2.84 (33658) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.47/2.84 }.
% 2.47/2.84 (33659) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.47/2.84 }.
% 2.47/2.84 (33660) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.47/2.84 }.
% 2.47/2.84 (33661) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.47/2.84 (33662) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.47/2.84 }.
% 2.47/2.84 (33663) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.47/2.84 (33664) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.47/2.84 ) }.
% 2.47/2.84 (33665) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.47/2.84 (33666) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.47/2.84 ) }.
% 2.47/2.84 (33667) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.47/2.84 (33668) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.47/2.84 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.47/2.84 (33669) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.47/2.84 totalorderedP( cons( X, Y ) ) }.
% 2.47/2.84 (33670) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.47/2.84 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.47/2.84 (33671) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.47/2.84 (33672) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.47/2.84 (33673) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.47/2.84 }.
% 2.47/2.84 (33674) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.47/2.84 (33675) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.47/2.84 (33676) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.47/2.84 alpha19( X, Y ) }.
% 2.47/2.84 (33677) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.47/2.84 ) ) }.
% 2.47/2.84 (33678) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.47/2.84 (33679) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.47/2.84 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.47/2.84 (33680) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.47/2.84 strictorderedP( cons( X, Y ) ) }.
% 2.47/2.84 (33681) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.47/2.84 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.47/2.84 (33682) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.47/2.84 (33683) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.47/2.84 (33684) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.47/2.84 }.
% 2.47/2.84 (33685) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.47/2.84 (33686) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.47/2.84 (33687) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.47/2.84 alpha20( X, Y ) }.
% 2.47/2.84 (33688) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.47/2.84 ) ) }.
% 2.47/2.84 (33689) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.47/2.84 (33690) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.47/2.84 }.
% 2.47/2.84 (33691) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.47/2.84 (33692) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.47/2.84 ) }.
% 2.47/2.84 (33693) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.47/2.84 ) }.
% 2.47/2.84 (33694) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.47/2.84 ) }.
% 2.47/2.84 (33695) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.47/2.84 ) }.
% 2.47/2.84 (33696) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.47/2.84 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.47/2.84 (33697) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.47/2.84 X ) ) = X }.
% 2.47/2.84 (33698) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.47/2.84 (33699) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.47/2.84 (33700) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.47/2.84 = app( cons( Y, nil ), X ) }.
% 2.47/2.84 (33701) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.47/2.84 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.47/2.84 (33702) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.47/2.84 X, Y ), nil = Y }.
% 2.47/2.84 (33703) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.47/2.84 X, Y ), nil = X }.
% 2.47/2.84 (33704) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.47/2.84 nil = X, nil = app( X, Y ) }.
% 2.47/2.84 (33705) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.47/2.84 (33706) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.47/2.84 app( X, Y ) ) = hd( X ) }.
% 2.47/2.84 (33707) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.47/2.84 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.47/2.84 (33708) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.47/2.84 , ! geq( Y, X ), X = Y }.
% 2.47/2.84 (33709) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.84 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.47/2.85 (33710) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.47/2.85 (33711) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.47/2.85 (33712) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.85 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.47/2.85 (33713) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.47/2.85 , X = Y, lt( X, Y ) }.
% 2.47/2.85 (33714) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.85 , ! X = Y }.
% 2.47/2.85 (33715) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.47/2.85 , leq( X, Y ) }.
% 2.47/2.85 (33716) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.47/2.85 ( X, Y ), lt( X, Y ) }.
% 2.47/2.85 (33717) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.47/2.85 , ! gt( Y, X ) }.
% 2.47/2.85 (33718) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.47/2.85 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.47/2.85 (33719) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.47/2.85 (33720) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.47/2.85 (33721) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.47/2.85 (33722) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.47/2.85 (33723) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.47/2.85 (33724) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.47/2.85 (33725) {G0,W3,D2,L1,V0,M1} { neq( skol50, nil ) }.
% 2.47/2.85 (33726) {G0,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.47/2.85 (33727) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol52 }.
% 2.47/2.85 (33728) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol51 }.
% 2.47/2.85 (33729) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.47/2.85 }.
% 2.47/2.85 (33730) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 2.47/2.85 ) ) }.
% 2.47/2.85 (33731) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X, Y ),
% 2.47/2.85 nil ) = X }.
% 2.47/2.85 (33732) {G0,W13,D3,L4,V3,M4} { ! ssItem( Z ), ! cons( Z, nil ) = X, !
% 2.47/2.85 memberP( Y, Z ), alpha44( X, Y ) }.
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 Total Proof:
% 2.47/2.85
% 2.47/2.85 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.85 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.85 parent0: (33456) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.85 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 2 ==> 2
% 2.47/2.85 3 ==> 3
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.47/2.85 neq( X, Y ), ! X = Y }.
% 2.47/2.85 parent0: (33601) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 2.47/2.85 neq( X, Y ), ! X = Y }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 2 ==> 2
% 2.47/2.85 3 ==> 3
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.85 ssList( cons( Y, X ) ) }.
% 2.47/2.85 parent0: (33603) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.85 ssList( cons( Y, X ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 2 ==> 2
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.85 parent0: (33604) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (34300) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.47/2.85 parent0[0]: (33723) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.85 parent0: (34300) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (34648) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.47/2.85 parent0[0]: (33724) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.85 parent0: (34648) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 2.47/2.85 parent0: (33725) {G0,W3,D2,L1,V0,M1} { neq( skol50, nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ! singletonP( skol46 ) }.
% 2.47/2.85 parent0: (33726) {G0,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 paramod: (36559) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ), nil =
% 2.47/2.85 skol52 }.
% 2.47/2.85 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.47/2.85 parent1[0; 1]: (33727) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ),
% 2.47/2.85 nil = skol52 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 paramod: (36561) {G1,W6,D2,L2,V0,M2} { nil = skol50, alpha44( skol46,
% 2.47/2.85 skol52 ) }.
% 2.47/2.85 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.85 parent1[1; 2]: (36559) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ),
% 2.47/2.85 nil = skol52 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 paramod: (36563) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.47/2.85 skol50 }.
% 2.47/2.85 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.47/2.85 parent1[1; 2]: (36561) {G1,W6,D2,L2,V0,M2} { nil = skol50, alpha44( skol46
% 2.47/2.85 , skol52 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (36564) {G1,W6,D2,L2,V0,M2} { skol50 = nil, alpha44( skol46,
% 2.47/2.85 skol50 ) }.
% 2.47/2.85 parent0[1]: (36563) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.47/2.85 skol50 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==>
% 2.47/2.85 nil, alpha44( skol46, skol50 ) }.
% 2.47/2.85 parent0: (36564) {G1,W6,D2,L2,V0,M2} { skol50 = nil, alpha44( skol46,
% 2.47/2.85 skol50 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (285) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem(
% 2.47/2.85 skol47( Z, T ) ) }.
% 2.47/2.85 parent0: (33729) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47(
% 2.47/2.85 Z, T ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 Z := Z
% 2.47/2.85 T := T
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (287) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.47/2.85 ( X, Y ), nil ) ==> X }.
% 2.47/2.85 parent0: (33731) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X
% 2.47/2.85 , Y ), nil ) = X }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (37266) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), ! ssList( Y
% 2.47/2.85 ), ! neq( X, Y ) }.
% 2.47/2.85 parent0[3]: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 2.47/2.85 neq( X, Y ), ! X = Y }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 factor: (37267) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X, X
% 2.47/2.85 ) }.
% 2.47/2.85 parent0[1, 2]: (37266) {G0,W10,D2,L4,V2,M4} { ! Y = X, ! ssList( X ), !
% 2.47/2.85 ssList( Y ), ! neq( X, Y ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqrefl: (37268) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 2.47/2.85 parent0[0]: (37267) {G0,W8,D2,L3,V1,M3} { ! X = X, ! ssList( X ), ! neq( X
% 2.47/2.85 , X ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (323) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X,
% 2.47/2.85 X ) }.
% 2.47/2.85 parent0: (37268) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), ! neq( X, X ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37269) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 2.47/2.85 parent0[0]: (323) {G1,W5,D2,L2,V1,M2} F(158);q { ! ssList( X ), ! neq( X, X
% 2.47/2.85 ) }.
% 2.47/2.85 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := nil
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (637) {G2,W3,D2,L1,V0,M1} R(323,161) { ! neq( nil, nil ) }.
% 2.47/2.85 parent0: (37269) {G1,W3,D2,L1,V0,M1} { ! neq( nil, nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 paramod: (37271) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha44( skol46,
% 2.47/2.85 skol50 ) }.
% 2.47/2.85 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(279);d(279) { skol50 ==>
% 2.47/2.85 nil, alpha44( skol46, skol50 ) }.
% 2.47/2.85 parent1[0; 1]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol50, nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37282) {G2,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.47/2.85 parent0[0]: (637) {G2,W3,D2,L1,V0,M1} R(323,161) { ! neq( nil, nil ) }.
% 2.47/2.85 parent1[0]: (37271) {G1,W6,D2,L2,V0,M2} { neq( nil, nil ), alpha44( skol46
% 2.47/2.85 , skol50 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (852) {G3,W3,D2,L1,V0,M1} P(283,281);r(637) { alpha44( skol46
% 2.47/2.85 , skol50 ) }.
% 2.47/2.85 parent0: (37282) {G2,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (37283) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 2.47/2.85 , ! ssItem( X ), singletonP( Y ) }.
% 2.47/2.85 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.47/2.85 cons( Y, nil ) = X, singletonP( X ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := Y
% 2.47/2.85 Y := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37284) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.47/2.85 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.85 }.
% 2.47/2.85 parent0[1]: (37283) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 2.47/2.85 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 2.47/2.85 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.47/2.85 ssList( cons( Y, X ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := Z
% 2.47/2.85 Y := cons( X, Y )
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 X := Y
% 2.47/2.85 Y := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (37285) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.47/2.85 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 2.47/2.85 parent0[0]: (37284) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.47/2.85 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.85 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 Z := Z
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (13950) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.47/2.85 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.47/2.85 cons( Y, X ) ) }.
% 2.47/2.85 parent0: (37285) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.47/2.85 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.47/2.85 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := Y
% 2.47/2.85 Y := X
% 2.47/2.85 Z := Z
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 3
% 2.47/2.85 1 ==> 2
% 2.47/2.85 2 ==> 4
% 2.47/2.85 3 ==> 0
% 2.47/2.85 4 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqswap: (37288) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 2.47/2.85 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 2.47/2.85 parent0[3]: (13950) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.47/2.85 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.47/2.85 cons( Y, X ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := Z
% 2.47/2.85 Y := Y
% 2.47/2.85 Z := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 eqrefl: (37289) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 2.47/2.85 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.47/2.85 parent0[0]: (37288) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 2.47/2.85 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 2.47/2.85 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := X
% 2.47/2.85 Z := nil
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37291) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 2.47/2.85 singletonP( cons( X, nil ) ) }.
% 2.47/2.85 parent0[0]: (37289) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 2.47/2.85 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.47/2.85 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 factor: (37292) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 2.47/2.85 nil ) ) }.
% 2.47/2.85 parent0[0, 1]: (37291) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 2.47/2.85 , singletonP( cons( X, nil ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (13995) {G2,W6,D3,L2,V1,M2} Q(13950);f;r(161) { ! ssItem( X )
% 2.47/2.85 , singletonP( cons( X, nil ) ) }.
% 2.47/2.85 parent0: (37292) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 2.47/2.85 , nil ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37293) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.47/2.85 parent0[0]: (285) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47
% 2.47/2.85 ( Z, T ) ) }.
% 2.47/2.85 parent1[0]: (852) {G3,W3,D2,L1,V0,M1} P(283,281);r(637) { alpha44( skol46,
% 2.47/2.85 skol50 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := skol46
% 2.47/2.85 Y := skol50
% 2.47/2.85 Z := X
% 2.47/2.85 T := Y
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (33104) {G4,W4,D3,L1,V2,M1} R(285,852) { ssItem( skol47( X, Y
% 2.47/2.85 ) ) }.
% 2.47/2.85 parent0: (37293) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 paramod: (37295) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y )
% 2.47/2.85 , ! ssItem( skol47( X, Y ) ) }.
% 2.47/2.85 parent0[1]: (287) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.47/2.85 ( X, Y ), nil ) ==> X }.
% 2.47/2.85 parent1[1; 1]: (13995) {G2,W6,D3,L2,V1,M2} Q(13950);f;r(161) { ! ssItem( X
% 2.47/2.85 ), singletonP( cons( X, nil ) ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 X := skol47( X, Y )
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37296) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y
% 2.47/2.85 ) }.
% 2.47/2.85 parent0[2]: (37295) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y
% 2.47/2.85 ), ! ssItem( skol47( X, Y ) ) }.
% 2.47/2.85 parent1[0]: (33104) {G4,W4,D3,L1,V2,M1} R(285,852) { ssItem( skol47( X, Y )
% 2.47/2.85 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (33358) {G5,W5,D2,L2,V2,M2} P(287,13995);r(33104) { singletonP
% 2.47/2.85 ( X ), ! alpha44( X, Y ) }.
% 2.47/2.85 parent0: (37296) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y )
% 2.47/2.85 }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := X
% 2.47/2.85 Y := Y
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 0 ==> 0
% 2.47/2.85 1 ==> 1
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37297) {G4,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.47/2.85 parent0[1]: (33358) {G5,W5,D2,L2,V2,M2} P(287,13995);r(33104) { singletonP
% 2.47/2.85 ( X ), ! alpha44( X, Y ) }.
% 2.47/2.85 parent1[0]: (852) {G3,W3,D2,L1,V0,M1} P(283,281);r(637) { alpha44( skol46,
% 2.47/2.85 skol50 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 X := skol46
% 2.47/2.85 Y := skol50
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 resolution: (37298) {G1,W0,D0,L0,V0,M0} { }.
% 2.47/2.85 parent0[0]: (282) {G0,W2,D2,L1,V0,M1} I { ! singletonP( skol46 ) }.
% 2.47/2.85 parent1[0]: (37297) {G4,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 substitution1:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 subsumption: (33441) {G6,W0,D0,L0,V0,M0} R(33358,852);r(282) { }.
% 2.47/2.85 parent0: (37298) {G1,W0,D0,L0,V0,M0} { }.
% 2.47/2.85 substitution0:
% 2.47/2.85 end
% 2.47/2.85 permutation0:
% 2.47/2.85 end
% 2.47/2.85
% 2.47/2.85 Proof check complete!
% 2.47/2.85
% 2.47/2.85 Memory use:
% 2.47/2.85
% 2.47/2.85 space for terms: 621595
% 2.47/2.85 space for clauses: 1512345
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 clauses generated: 106271
% 2.47/2.85 clauses kept: 33442
% 2.47/2.85 clauses selected: 1145
% 2.47/2.85 clauses deleted: 1728
% 2.47/2.85 clauses inuse deleted: 66
% 2.47/2.85
% 2.47/2.85 subsentry: 167920
% 2.47/2.85 literals s-matched: 107751
% 2.47/2.85 literals matched: 92348
% 2.47/2.85 full subsumption: 51658
% 2.47/2.85
% 2.47/2.85 checksum: 1313250155
% 2.47/2.85
% 2.47/2.85
% 2.47/2.85 Bliksem ended
%------------------------------------------------------------------------------