TSTP Solution File: SWC276+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC276+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 19:35:26 EDT 2022
% Result : Theorem 2.38s 2.79s
% Output : Refutation 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWC276+1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10 % Command : bliksem %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % DateTime : Sun Jun 12 01:26:55 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.54/0.95 *** allocated 10000 integers for termspace/termends
% 0.54/0.95 *** allocated 10000 integers for clauses
% 0.54/0.95 *** allocated 10000 integers for justifications
% 0.54/0.95 Bliksem 1.12
% 0.54/0.95
% 0.54/0.95
% 0.54/0.95 Automatic Strategy Selection
% 0.54/0.95
% 0.54/0.95 *** allocated 15000 integers for termspace/termends
% 0.54/0.95
% 0.54/0.95 Clauses:
% 0.54/0.95
% 0.54/0.95 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.54/0.95 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.54/0.95 { ssItem( skol1 ) }.
% 0.54/0.95 { ssItem( skol48 ) }.
% 0.54/0.95 { ! skol1 = skol48 }.
% 0.54/0.95 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.54/0.95 }.
% 0.54/0.95 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.54/0.95 Y ) ) }.
% 0.54/0.95 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.54/0.95 ( X, Y ) }.
% 0.54/0.95 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.54/0.95 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.54/0.95 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.54/0.95 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.54/0.95 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.54/0.95 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.54/0.95 ) }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.54/0.95 ) = X }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.54/0.95 ( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.54/0.95 }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.54/0.95 = X }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.54/0.95 ( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.54/0.95 }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.54/0.95 , Y ) ) }.
% 0.54/0.95 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.54/0.95 segmentP( X, Y ) }.
% 0.54/0.95 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.54/0.95 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.54/0.95 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.54/0.95 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.54/0.95 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.54/0.95 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.54/0.95 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.54/0.95 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.54/0.95 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.54/0.95 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.54/0.95 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.54/0.95 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.54/0.95 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.54/0.95 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.54/0.95 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.54/0.95 .
% 0.54/0.95 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.54/0.95 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.54/0.95 , U ) }.
% 0.54/0.95 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.95 ) ) = X, alpha12( Y, Z ) }.
% 0.54/0.95 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.54/0.95 W ) }.
% 0.54/0.95 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.54/0.95 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.54/0.95 { leq( X, Y ), alpha12( X, Y ) }.
% 0.54/0.95 { leq( Y, X ), alpha12( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.54/0.95 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.54/0.95 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.54/0.95 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.54/0.95 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.54/0.95 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.54/0.95 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.54/0.95 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.54/0.95 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.54/0.95 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.54/0.95 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.54/0.95 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.54/0.95 .
% 0.54/0.95 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.54/0.95 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.54/0.95 , U ) }.
% 0.54/0.95 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.95 ) ) = X, alpha13( Y, Z ) }.
% 0.54/0.95 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.54/0.95 W ) }.
% 0.54/0.95 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.54/0.95 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.54/0.95 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.54/0.95 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.54/0.95 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.54/0.95 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.54/0.95 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.54/0.95 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.54/0.95 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.54/0.95 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.54/0.96 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.54/0.96 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.54/0.96 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.54/0.96 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.54/0.96 .
% 0.54/0.96 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.54/0.96 , U ) }.
% 0.54/0.96 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.96 ) ) = X, alpha14( Y, Z ) }.
% 0.54/0.96 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.54/0.96 W ) }.
% 0.54/0.96 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.54/0.96 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.54/0.96 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.54/0.96 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.54/0.96 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.54/0.96 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.54/0.96 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.54/0.96 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.54/0.96 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.54/0.96 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.54/0.96 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.54/0.96 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.54/0.96 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.54/0.96 .
% 0.54/0.96 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.54/0.96 , U ) }.
% 0.54/0.96 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.96 ) ) = X, leq( Y, Z ) }.
% 0.54/0.96 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.54/0.96 W ) }.
% 0.54/0.96 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.54/0.96 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.54/0.96 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.54/0.96 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.54/0.96 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.54/0.96 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.54/0.96 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.54/0.96 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.54/0.96 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.54/0.96 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.54/0.96 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.54/0.96 .
% 0.54/0.96 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.54/0.96 , U ) }.
% 0.54/0.96 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.96 ) ) = X, lt( Y, Z ) }.
% 0.54/0.96 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.54/0.96 W ) }.
% 0.54/0.96 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.54/0.96 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.54/0.96 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.54/0.96 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.54/0.96 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.54/0.96 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.54/0.96 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.54/0.96 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.54/0.96 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.54/0.96 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.54/0.96 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.54/0.96 .
% 0.54/0.96 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.54/0.96 , U ) }.
% 0.54/0.96 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.54/0.96 ) ) = X, ! Y = Z }.
% 0.54/0.96 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.54/0.96 W ) }.
% 0.54/0.96 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.54/0.96 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.54/0.96 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.54/0.96 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.54/0.96 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.54/0.96 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.54/0.96 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.54/0.96 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.54/0.96 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.54/0.96 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.54/0.96 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.54/0.96 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.54/0.96 Z }.
% 0.54/0.96 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.54/0.96 { ssList( nil ) }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.54/0.96 ) = cons( T, Y ), Z = T }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.54/0.96 ) = cons( T, Y ), Y = X }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.54/0.96 ( cons( Z, Y ), X ) }.
% 0.54/0.96 { ! ssList( X ), app( nil, X ) = X }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.54/0.96 , leq( X, Z ) }.
% 0.54/0.96 { ! ssItem( X ), leq( X, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.54/0.96 lt( X, Z ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.54/0.96 , memberP( Y, X ), memberP( Z, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.54/0.96 app( Y, Z ), X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.54/0.96 app( Y, Z ), X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.54/0.96 , X = Y, memberP( Z, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.54/0.96 ), X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.54/0.96 cons( Y, Z ), X ) }.
% 0.54/0.96 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.54/0.96 { ! singletonP( nil ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.54/0.96 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.54/0.96 = Y }.
% 0.54/0.96 { ! ssList( X ), frontsegP( X, X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.54/0.96 frontsegP( app( X, Z ), Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.54/0.96 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.54/0.96 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.54/0.96 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.54/0.96 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.54/0.96 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.54/0.96 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.54/0.96 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.54/0.96 Y }.
% 0.54/0.96 { ! ssList( X ), rearsegP( X, X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.54/0.96 ( app( Z, X ), Y ) }.
% 0.54/0.96 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.54/0.96 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.54/0.96 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.54/0.96 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.54/0.96 Y }.
% 0.54/0.96 { ! ssList( X ), segmentP( X, X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.54/0.96 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.54/0.96 { ! ssList( X ), segmentP( X, nil ) }.
% 0.54/0.96 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.54/0.96 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.54/0.96 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.54/0.96 { cyclefreeP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.54/0.96 { totalorderP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.54/0.96 { strictorderP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.54/0.96 { totalorderedP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.54/0.96 alpha10( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.54/0.96 .
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.54/0.96 Y ) ) }.
% 0.54/0.96 { ! alpha10( X, Y ), ! nil = Y }.
% 0.54/0.96 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.54/0.96 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.54/0.96 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.54/0.96 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.54/0.96 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.54/0.96 { strictorderedP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.54/0.96 alpha11( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.54/0.96 .
% 0.54/0.96 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.54/0.96 , Y ) ) }.
% 0.54/0.96 { ! alpha11( X, Y ), ! nil = Y }.
% 0.54/0.96 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.54/0.96 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.54/0.96 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.54/0.96 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.54/0.96 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.54/0.96 { duplicatefreeP( nil ) }.
% 0.54/0.96 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.54/0.96 { equalelemsP( nil ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.54/0.96 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.54/0.96 ( Y ) = tl( X ), Y = X }.
% 0.54/0.96 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.54/0.96 , Z = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.54/0.96 , Z = X }.
% 0.54/0.96 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.54/0.96 ( X, app( Y, Z ) ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.54/0.96 { ! ssList( X ), app( X, nil ) = X }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.54/0.96 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.54/0.96 Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.54/0.96 , geq( X, Z ) }.
% 0.54/0.96 { ! ssItem( X ), geq( X, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! lt( X, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.54/0.96 , lt( X, Z ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.54/0.96 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.54/0.96 gt( X, Z ) }.
% 0.54/0.96 { ssList( skol46 ) }.
% 0.54/0.96 { ssList( skol50 ) }.
% 0.54/0.96 { ssList( skol51 ) }.
% 0.54/0.96 { ssList( skol52 ) }.
% 0.54/0.96 { skol50 = skol52 }.
% 0.54/0.96 { skol46 = skol51 }.
% 0.54/0.96 { ! totalorderedP( skol46 ) }.
% 0.54/0.96 { alpha44( skol51, skol52 ), nil = skol52 }.
% 0.54/0.96 { alpha44( skol51, skol52 ), nil = skol51 }.
% 0.54/0.96 { ! alpha44( X, Y ), ssItem( skol47( Z, T ) ) }.
% 0.54/0.96 { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y ) ) }.
% 0.54/0.96 { ! alpha44( X, Y ), cons( skol47( X, Y ), nil ) = X }.
% 0.54/0.96 { ! ssItem( Z ), ! cons( Z, nil ) = X, ! memberP( Y, Z ), alpha44( X, Y ) }
% 0.54/0.96 .
% 0.54/0.96
% 0.54/0.96 *** allocated 15000 integers for clauses
% 0.54/0.96 percentage equality = 0.130588, percentage horn = 0.756944
% 0.54/0.96 This is a problem with some equality
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 Options Used:
% 0.54/0.96
% 0.54/0.96 useres = 1
% 0.54/0.96 useparamod = 1
% 0.54/0.96 useeqrefl = 1
% 0.54/0.96 useeqfact = 1
% 0.54/0.96 usefactor = 1
% 0.54/0.96 usesimpsplitting = 0
% 0.54/0.96 usesimpdemod = 5
% 0.54/0.96 usesimpres = 3
% 0.54/0.96
% 0.54/0.96 resimpinuse = 1000
% 0.54/0.96 resimpclauses = 20000
% 0.54/0.96 substype = eqrewr
% 0.54/0.96 backwardsubs = 1
% 0.54/0.96 selectoldest = 5
% 0.54/0.96
% 0.54/0.96 litorderings [0] = split
% 0.54/0.96 litorderings [1] = extend the termordering, first sorting on arguments
% 0.54/0.96
% 0.54/0.96 termordering = kbo
% 0.54/0.96
% 0.54/0.96 litapriori = 0
% 0.54/0.96 termapriori = 1
% 0.54/0.96 litaposteriori = 0
% 0.54/0.96 termaposteriori = 0
% 0.54/0.96 demodaposteriori = 0
% 0.54/0.96 ordereqreflfact = 0
% 0.54/0.96
% 0.54/0.96 litselect = negord
% 0.54/0.96
% 0.54/0.96 maxweight = 15
% 0.54/0.96 maxdepth = 30000
% 0.54/0.96 maxlength = 115
% 0.54/0.96 maxnrvars = 195
% 0.54/0.96 excuselevel = 1
% 0.54/0.96 increasemaxweight = 1
% 0.54/0.96
% 0.54/0.96 maxselected = 10000000
% 0.54/0.96 maxnrclauses = 10000000
% 0.54/0.96
% 0.54/0.96 showgenerated = 0
% 0.54/0.96 showkept = 0
% 0.54/0.96 showselected = 0
% 0.54/0.96 showdeleted = 0
% 0.54/0.96 showresimp = 1
% 0.54/0.96 showstatus = 2000
% 0.54/0.96
% 0.54/0.96 prologoutput = 0
% 0.54/0.96 nrgoals = 5000000
% 0.54/0.96 totalproof = 1
% 0.54/0.96
% 0.54/0.96 Symbols occurring in the translation:
% 0.54/0.96
% 0.54/0.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.54/0.96 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.54/0.96 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.54/0.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.54/0.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.54/0.96 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.54/0.96 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.54/0.96 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.54/0.96 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.54/0.96 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.54/0.96 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.54/0.96 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.07/1.47 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.07/1.47 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.07/1.47 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.07/1.47 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.07/1.47 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.07/1.47 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.07/1.47 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.07/1.47 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.07/1.47 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.07/1.47 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.07/1.47 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.07/1.47 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.07/1.47 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.07/1.47 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.07/1.47 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.07/1.47 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.07/1.47 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.07/1.47 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.07/1.47 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.07/1.47 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.07/1.47 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.07/1.47 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.07/1.47 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.07/1.47 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.07/1.47 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.07/1.47 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.07/1.47 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.07/1.47 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.07/1.47 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.07/1.47 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.07/1.47 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.07/1.47 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.07/1.47 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.07/1.47 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.07/1.47 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.07/1.47 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.07/1.47 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.07/1.47 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.07/1.47 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.07/1.47 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.07/1.47 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.07/1.47 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.07/1.47 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.07/1.47 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.07/1.47 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.07/1.47 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.07/1.47 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.07/1.47 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.07/1.47 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.07/1.47 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.07/1.47 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.07/1.47 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.07/1.47 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.07/1.47 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.07/1.47 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.07/1.47 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.07/1.47 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.07/1.47 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.07/1.47 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.07/1.47 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.07/1.47 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.07/1.47 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.07/1.47 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.07/1.47 skol3 [111, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.07/1.47 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.07/1.47 skol5 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.07/1.47 skol6 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.07/1.47 skol7 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.07/1.47 skol8 [116, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.07/1.47 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.07/1.47 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.07/1.47 skol11 [119, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.07/1.47 skol12 [120, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.07/1.47 skol13 [121, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.07/1.47 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.07/1.47 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.07/1.47 skol16 [124, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.07/1.47 skol17 [125, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.07/1.47 skol18 [126, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.07/1.47 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 2.38/2.79 skol20 [128, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.38/2.79 skol21 [129, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.38/2.79 skol22 [130, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.38/2.79 skol23 [131, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.38/2.79 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.38/2.79 skol25 [133, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.38/2.79 skol26 [134, 3] (w:1, o:120, a:1, s:1, b:1),
% 2.38/2.79 skol27 [135, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.38/2.79 skol28 [136, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.38/2.79 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.38/2.79 skol30 [138, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.38/2.79 skol31 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.38/2.79 skol32 [140, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.38/2.79 skol33 [141, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.38/2.79 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 2.38/2.79 skol35 [143, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.38/2.79 skol36 [144, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.38/2.79 skol37 [145, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.38/2.79 skol38 [146, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.38/2.79 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.38/2.79 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.38/2.79 skol41 [149, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.38/2.79 skol42 [150, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.38/2.79 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.38/2.79 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.38/2.79 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.38/2.79 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.38/2.79 skol47 [155, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.38/2.79 skol48 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.38/2.79 skol49 [157, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.38/2.79 skol50 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.38/2.79 skol51 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.38/2.79 skol52 [160, 0] (w:1, o:18, a:1, s:1, b:1).
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Starting Search:
% 2.38/2.79
% 2.38/2.79 *** allocated 22500 integers for clauses
% 2.38/2.79 *** allocated 33750 integers for clauses
% 2.38/2.79 *** allocated 50625 integers for clauses
% 2.38/2.79 *** allocated 22500 integers for termspace/termends
% 2.38/2.79 *** allocated 75937 integers for clauses
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 33750 integers for termspace/termends
% 2.38/2.79 *** allocated 113905 integers for clauses
% 2.38/2.79 *** allocated 50625 integers for termspace/termends
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 3737
% 2.38/2.79 Kept: 2004
% 2.38/2.79 Inuse: 211
% 2.38/2.79 Deleted: 8
% 2.38/2.79 Deletedinuse: 2
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 170857 integers for clauses
% 2.38/2.79 *** allocated 75937 integers for termspace/termends
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 256285 integers for clauses
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 6747
% 2.38/2.79 Kept: 4004
% 2.38/2.79 Inuse: 379
% 2.38/2.79 Deleted: 11
% 2.38/2.79 Deletedinuse: 5
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 113905 integers for termspace/termends
% 2.38/2.79 *** allocated 384427 integers for clauses
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 10320
% 2.38/2.79 Kept: 6062
% 2.38/2.79 Inuse: 520
% 2.38/2.79 Deleted: 23
% 2.38/2.79 Deletedinuse: 17
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 170857 integers for termspace/termends
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 576640 integers for clauses
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 13674
% 2.38/2.79 Kept: 8066
% 2.38/2.79 Inuse: 647
% 2.38/2.79 Deleted: 25
% 2.38/2.79 Deletedinuse: 19
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 16818
% 2.38/2.79 Kept: 10130
% 2.38/2.79 Inuse: 687
% 2.38/2.79 Deleted: 25
% 2.38/2.79 Deletedinuse: 19
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 256285 integers for termspace/termends
% 2.38/2.79 *** allocated 864960 integers for clauses
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 23063
% 2.38/2.79 Kept: 12656
% 2.38/2.79 Inuse: 760
% 2.38/2.79 Deleted: 31
% 2.38/2.79 Deletedinuse: 25
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 30649
% 2.38/2.79 Kept: 14661
% 2.38/2.79 Inuse: 790
% 2.38/2.79 Deleted: 52
% 2.38/2.79 Deletedinuse: 46
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 384427 integers for termspace/termends
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 37088
% 2.38/2.79 Kept: 16750
% 2.38/2.79 Inuse: 868
% 2.38/2.79 Deleted: 60
% 2.38/2.79 Deletedinuse: 52
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 1297440 integers for clauses
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 45694
% 2.38/2.79 Kept: 18751
% 2.38/2.79 Inuse: 909
% 2.38/2.79 Deleted: 70
% 2.38/2.79 Deletedinuse: 54
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying clauses:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 54500
% 2.38/2.79 Kept: 20760
% 2.38/2.79 Inuse: 940
% 2.38/2.79 Deleted: 2587
% 2.38/2.79 Deletedinuse: 55
% 2.38/2.79
% 2.38/2.79 *** allocated 576640 integers for termspace/termends
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 64852
% 2.38/2.79 Kept: 22775
% 2.38/2.79 Inuse: 972
% 2.38/2.79 Deleted: 2593
% 2.38/2.79 Deletedinuse: 58
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 71985
% 2.38/2.79 Kept: 24857
% 2.38/2.79 Inuse: 1017
% 2.38/2.79 Deleted: 2596
% 2.38/2.79 Deletedinuse: 61
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 78942
% 2.38/2.79 Kept: 27152
% 2.38/2.79 Inuse: 1052
% 2.38/2.79 Deleted: 2596
% 2.38/2.79 Deletedinuse: 61
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 1946160 integers for clauses
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 91603
% 2.38/2.79 Kept: 29836
% 2.38/2.79 Inuse: 1082
% 2.38/2.79 Deleted: 2598
% 2.38/2.79 Deletedinuse: 63
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 *** allocated 864960 integers for termspace/termends
% 2.38/2.79
% 2.38/2.79 Intermediate Status:
% 2.38/2.79 Generated: 104312
% 2.38/2.79 Kept: 32401
% 2.38/2.79 Inuse: 1119
% 2.38/2.79 Deleted: 2604
% 2.38/2.79 Deletedinuse: 66
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79 Resimplifying inuse:
% 2.38/2.79 Done
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Bliksems!, er is een bewijs:
% 2.38/2.79 % SZS status Theorem
% 2.38/2.79 % SZS output start Refutation
% 2.38/2.79
% 2.38/2.79 (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.38/2.79 skol4( Y ) ) }.
% 2.38/2.79 (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X ), cons( skol4
% 2.38/2.79 ( X ), nil ) ==> X }.
% 2.38/2.79 (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 2.38/2.79 ) = X, singletonP( X ) }.
% 2.38/2.79 (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.38/2.79 totalorderedP( X ) }.
% 2.38/2.79 (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.38/2.79 (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 2.38/2.79 , X ) ) }.
% 2.38/2.79 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.79 (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.38/2.79 ) }.
% 2.38/2.79 (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.38/2.79 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.38/2.79 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.38/2.79 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.79 (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.38/2.79 (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==> nil, alpha44
% 2.38/2.79 ( skol46, skol50 ) }.
% 2.38/2.79 (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.38/2.79 }.
% 2.38/2.79 (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47( X, Y ), nil
% 2.38/2.79 ) ==> X }.
% 2.38/2.79 (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46, skol50 ) }.
% 2.38/2.79 (4762) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46, skol24(
% 2.38/2.79 skol46 ) ) }.
% 2.38/2.79 (4808) {G2,W4,D3,L1,V2,M1} R(93,4762) { ssItem( skol25( X, Y ) ) }.
% 2.38/2.79 (12833) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), ! ssItem( Y ), !
% 2.38/2.79 ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP( cons( Y, X ) )
% 2.38/2.79 }.
% 2.38/2.79 (12850) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList( cons( X,
% 2.38/2.79 nil ) ) }.
% 2.38/2.79 (12878) {G2,W6,D3,L2,V1,M2} Q(12833);f;r(161) { ! ssItem( X ), singletonP(
% 2.38/2.79 cons( X, nil ) ) }.
% 2.38/2.79 (12944) {G3,W5,D3,L2,V2,M2} R(12878,11);r(12850) { ! ssItem( X ), ssItem(
% 2.38/2.79 skol4( Y ) ) }.
% 2.38/2.79 (13042) {G4,W3,D3,L1,V1,M1} R(12944,4808) { ssItem( skol4( X ) ) }.
% 2.38/2.79 (13268) {G5,W5,D4,L1,V1,M1} R(13042,223) { totalorderedP( cons( skol4( X )
% 2.38/2.79 , nil ) ) }.
% 2.38/2.79 (19000) {G6,W6,D2,L3,V1,M3} P(12,13268) { totalorderedP( X ), ! ssList( X )
% 2.38/2.79 , ! singletonP( X ) }.
% 2.38/2.79 (22109) {G7,W2,D2,L1,V0,M1} R(19000,275);r(281) { ! singletonP( skol46 )
% 2.38/2.79 }.
% 2.38/2.79 (33492) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y ) ) }.
% 2.38/2.79 (33743) {G4,W5,D2,L2,V2,M2} P(286,12878);r(33492) { singletonP( X ), !
% 2.38/2.79 alpha44( X, Y ) }.
% 2.38/2.79 (33823) {G8,W0,D0,L0,V0,M0} R(33743,871);r(22109) { }.
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 % SZS output end Refutation
% 2.38/2.79 found a proof!
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Unprocessed initial clauses:
% 2.38/2.79
% 2.38/2.79 (33825) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.38/2.79 , ! X = Y }.
% 2.38/2.79 (33826) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33827) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.38/2.79 (33828) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 2.38/2.79 (33829) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 2.38/2.79 (33830) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.38/2.79 , Y ), ssList( skol2( Z, T ) ) }.
% 2.38/2.79 (33831) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.38/2.79 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.38/2.79 (33832) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.38/2.79 (33833) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.38/2.79 ) ) }.
% 2.38/2.79 (33834) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.38/2.79 ( X, Y, Z ) ) ) = X }.
% 2.38/2.79 (33835) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.38/2.79 , alpha1( X, Y, Z ) }.
% 2.38/2.79 (33836) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.38/2.79 skol4( Y ) ) }.
% 2.38/2.79 (33837) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.38/2.79 skol4( X ), nil ) = X }.
% 2.38/2.79 (33838) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.38/2.79 nil ) = X, singletonP( X ) }.
% 2.38/2.79 (33839) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.79 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.38/2.79 (33840) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.79 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.38/2.79 (33841) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.38/2.79 (33842) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.79 , Y ), ssList( skol6( Z, T ) ) }.
% 2.38/2.79 (33843) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.79 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.38/2.79 (33844) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.38/2.79 (33845) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.79 , Y ), ssList( skol7( Z, T ) ) }.
% 2.38/2.79 (33846) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.79 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.38/2.79 (33847) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.38/2.79 (33848) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.38/2.79 ) ) }.
% 2.38/2.79 (33849) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.38/2.79 skol8( X, Y, Z ) ) = X }.
% 2.38/2.79 (33850) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.38/2.79 , alpha2( X, Y, Z ) }.
% 2.38/2.79 (33851) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.38/2.79 Y ), alpha3( X, Y ) }.
% 2.38/2.79 (33852) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.38/2.79 cyclefreeP( X ) }.
% 2.38/2.79 (33853) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.38/2.79 cyclefreeP( X ) }.
% 2.38/2.79 (33854) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33855) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.38/2.79 (33856) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33857) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha28( X, Y, Z, T ) }.
% 2.38/2.79 (33858) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33859) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.38/2.79 alpha21( X, Y, Z ) }.
% 2.38/2.79 (33860) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha35( X, Y, Z, T, U ) }.
% 2.38/2.79 (33861) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33862) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.38/2.79 ), alpha28( X, Y, Z, T ) }.
% 2.38/2.79 (33863) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha41( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33864) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha35( X, Y, Z, T, U ) }.
% 2.38/2.79 (33865) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.38/2.79 (33866) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.38/2.79 (33867) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33868) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.38/2.79 W ) }.
% 2.38/2.79 (33869) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.38/2.79 X ) }.
% 2.38/2.79 (33870) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.38/2.79 (33871) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.38/2.79 (33872) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.38/2.79 ( Y ), alpha4( X, Y ) }.
% 2.38/2.79 (33873) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.38/2.79 totalorderP( X ) }.
% 2.38/2.79 (33874) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.38/2.79 totalorderP( X ) }.
% 2.38/2.79 (33875) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33876) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.38/2.79 (33877) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33878) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha29( X, Y, Z, T ) }.
% 2.38/2.79 (33879) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33880) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.38/2.79 alpha22( X, Y, Z ) }.
% 2.38/2.79 (33881) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha36( X, Y, Z, T, U ) }.
% 2.38/2.79 (33882) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33883) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.38/2.79 ), alpha29( X, Y, Z, T ) }.
% 2.38/2.79 (33884) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha42( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33885) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha36( X, Y, Z, T, U ) }.
% 2.38/2.79 (33886) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.38/2.79 (33887) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.38/2.79 (33888) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33889) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.38/2.79 W ) }.
% 2.38/2.79 (33890) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.38/2.79 }.
% 2.38/2.79 (33891) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.38/2.79 (33892) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.38/2.79 (33893) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.38/2.79 ( Y ), alpha5( X, Y ) }.
% 2.38/2.79 (33894) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.38/2.79 strictorderP( X ) }.
% 2.38/2.79 (33895) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.38/2.79 strictorderP( X ) }.
% 2.38/2.79 (33896) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33897) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.38/2.79 (33898) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33899) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha30( X, Y, Z, T ) }.
% 2.38/2.79 (33900) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33901) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.38/2.79 alpha23( X, Y, Z ) }.
% 2.38/2.79 (33902) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha37( X, Y, Z, T, U ) }.
% 2.38/2.79 (33903) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33904) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.38/2.79 ), alpha30( X, Y, Z, T ) }.
% 2.38/2.79 (33905) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha43( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33906) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha37( X, Y, Z, T, U ) }.
% 2.38/2.79 (33907) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.38/2.79 (33908) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.38/2.79 (33909) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33910) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.38/2.79 W ) }.
% 2.38/2.79 (33911) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.38/2.79 }.
% 2.38/2.79 (33912) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.38/2.79 (33913) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.38/2.79 (33914) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.38/2.79 ssItem( Y ), alpha6( X, Y ) }.
% 2.38/2.79 (33915) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.38/2.79 totalorderedP( X ) }.
% 2.38/2.79 (33916) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.38/2.79 totalorderedP( X ) }.
% 2.38/2.79 (33917) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33918) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.38/2.79 (33919) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33920) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha24( X, Y, Z, T ) }.
% 2.38/2.79 (33921) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33922) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.38/2.79 alpha15( X, Y, Z ) }.
% 2.38/2.79 (33923) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha31( X, Y, Z, T, U ) }.
% 2.38/2.79 (33924) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33925) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.38/2.79 ), alpha24( X, Y, Z, T ) }.
% 2.38/2.79 (33926) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha38( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33927) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha31( X, Y, Z, T, U ) }.
% 2.38/2.79 (33928) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.38/2.79 (33929) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.38/2.79 (33930) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33931) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.38/2.79 }.
% 2.38/2.79 (33932) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.38/2.79 ssItem( Y ), alpha7( X, Y ) }.
% 2.38/2.79 (33933) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.38/2.79 strictorderedP( X ) }.
% 2.38/2.79 (33934) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.38/2.79 strictorderedP( X ) }.
% 2.38/2.79 (33935) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33936) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.38/2.79 (33937) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33938) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha25( X, Y, Z, T ) }.
% 2.38/2.79 (33939) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33940) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.38/2.79 alpha16( X, Y, Z ) }.
% 2.38/2.79 (33941) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha32( X, Y, Z, T, U ) }.
% 2.38/2.79 (33942) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33943) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.38/2.79 ), alpha25( X, Y, Z, T ) }.
% 2.38/2.79 (33944) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha39( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33945) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha32( X, Y, Z, T, U ) }.
% 2.38/2.79 (33946) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.38/2.79 (33947) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.38/2.79 (33948) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33949) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.38/2.79 }.
% 2.38/2.79 (33950) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.38/2.79 ssItem( Y ), alpha8( X, Y ) }.
% 2.38/2.79 (33951) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.38/2.79 duplicatefreeP( X ) }.
% 2.38/2.79 (33952) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.38/2.79 duplicatefreeP( X ) }.
% 2.38/2.79 (33953) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33954) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.38/2.79 (33955) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33956) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha26( X, Y, Z, T ) }.
% 2.38/2.79 (33957) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33958) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.38/2.79 alpha17( X, Y, Z ) }.
% 2.38/2.79 (33959) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha33( X, Y, Z, T, U ) }.
% 2.38/2.79 (33960) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33961) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.38/2.79 ), alpha26( X, Y, Z, T ) }.
% 2.38/2.79 (33962) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.38/2.79 alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33963) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.38/2.79 alpha33( X, Y, Z, T, U ) }.
% 2.38/2.79 (33964) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.38/2.79 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.38/2.79 (33965) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.38/2.79 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.38/2.79 (33966) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.38/2.79 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33967) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.38/2.79 (33968) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.38/2.79 ( Y ), alpha9( X, Y ) }.
% 2.38/2.79 (33969) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.38/2.79 equalelemsP( X ) }.
% 2.38/2.79 (33970) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.38/2.79 equalelemsP( X ) }.
% 2.38/2.79 (33971) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.38/2.79 , Y, Z ) }.
% 2.38/2.79 (33972) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.38/2.79 (33973) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33974) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.38/2.79 alpha27( X, Y, Z, T ) }.
% 2.38/2.79 (33975) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.38/2.79 Z ) }.
% 2.38/2.79 (33976) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.38/2.79 alpha18( X, Y, Z ) }.
% 2.38/2.79 (33977) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.38/2.79 alpha34( X, Y, Z, T, U ) }.
% 2.38/2.79 (33978) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.38/2.79 X, Y, Z, T ) }.
% 2.38/2.79 (33979) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.38/2.79 ), alpha27( X, Y, Z, T ) }.
% 2.38/2.79 (33980) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.38/2.79 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.38/2.79 (33981) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.38/2.79 alpha34( X, Y, Z, T, U ) }.
% 2.38/2.79 (33982) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.38/2.79 (33983) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.38/2.79 , ! X = Y }.
% 2.38/2.79 (33984) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.38/2.79 , Y ) }.
% 2.38/2.79 (33985) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.38/2.79 Y, X ) ) }.
% 2.38/2.79 (33986) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.38/2.79 (33987) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.38/2.79 = X }.
% 2.38/2.79 (33988) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.79 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.38/2.79 (33989) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.79 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.38/2.79 (33990) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.38/2.79 ) }.
% 2.38/2.79 (33991) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 2.38/2.79 ) }.
% 2.38/2.79 (33992) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 2.38/2.79 skol43( X ) ) = X }.
% 2.38/2.79 (33993) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.38/2.79 Y, X ) }.
% 2.38/2.79 (33994) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.38/2.79 }.
% 2.38/2.79 (33995) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.38/2.79 X ) ) = Y }.
% 2.38/2.79 (33996) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.38/2.79 }.
% 2.38/2.79 (33997) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.38/2.79 X ) ) = X }.
% 2.38/2.79 (33998) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.38/2.79 , Y ) ) }.
% 2.38/2.79 (33999) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.38/2.79 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.38/2.79 (34000) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.38/2.79 (34001) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.38/2.79 , ! leq( Y, X ), X = Y }.
% 2.38/2.79 (34002) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.79 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.38/2.79 (34003) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.38/2.79 (34004) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.38/2.79 , leq( Y, X ) }.
% 2.38/2.79 (34005) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.38/2.79 , geq( X, Y ) }.
% 2.38/2.79 (34006) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.79 , ! lt( Y, X ) }.
% 2.38/2.79 (34007) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.79 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.38/2.79 (34008) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.38/2.79 , lt( Y, X ) }.
% 2.38/2.79 (34009) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.38/2.79 , gt( X, Y ) }.
% 2.38/2.79 (34010) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.38/2.79 (34011) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.38/2.79 (34012) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.38/2.79 (34013) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.38/2.79 (34014) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.38/2.79 (34015) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.38/2.79 (34016) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.38/2.79 (34017) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.38/2.79 (34018) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.38/2.79 (34019) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.38/2.79 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.38/2.79 (34020) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.38/2.79 (34021) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.38/2.79 (34022) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.38/2.79 (34023) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.38/2.79 , T ) }.
% 2.38/2.79 (34024) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.38/2.79 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.38/2.79 cons( Y, T ) ) }.
% 2.38/2.79 (34025) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.38/2.79 (34026) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.38/2.79 X }.
% 2.38/2.79 (34027) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.38/2.79 ) }.
% 2.38/2.79 (34028) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.38/2.79 (34029) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.38/2.79 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.38/2.79 (34030) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.38/2.79 (34031) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.38/2.79 (34032) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.38/2.79 (34033) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.38/2.79 }.
% 2.38/2.79 (34034) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.38/2.79 }.
% 2.38/2.79 (34035) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.38/2.79 (34036) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.38/2.79 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.38/2.79 (34037) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.38/2.79 (34038) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.38/2.79 }.
% 2.38/2.79 (34039) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.38/2.79 (34040) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.38/2.79 }.
% 2.38/2.79 (34041) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.38/2.79 }.
% 2.38/2.79 (34042) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.38/2.79 }.
% 2.38/2.79 (34043) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.38/2.79 (34044) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.38/2.79 }.
% 2.38/2.79 (34045) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.38/2.79 (34046) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.38/2.79 ) }.
% 2.38/2.79 (34047) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.38/2.79 (34048) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.38/2.79 ) }.
% 2.38/2.79 (34049) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.38/2.79 (34050) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.38/2.79 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.38/2.79 (34051) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.38/2.79 totalorderedP( cons( X, Y ) ) }.
% 2.38/2.79 (34052) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.38/2.79 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.38/2.79 (34053) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.38/2.79 (34054) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.38/2.79 (34055) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.38/2.79 }.
% 2.38/2.79 (34056) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.38/2.79 (34057) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.38/2.79 (34058) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.38/2.79 alpha19( X, Y ) }.
% 2.38/2.79 (34059) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.38/2.79 ) ) }.
% 2.38/2.79 (34060) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.38/2.79 (34061) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.38/2.79 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.38/2.79 (34062) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.38/2.79 strictorderedP( cons( X, Y ) ) }.
% 2.38/2.79 (34063) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.38/2.79 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.38/2.79 (34064) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.38/2.79 (34065) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.38/2.79 (34066) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.38/2.79 }.
% 2.38/2.79 (34067) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.38/2.79 (34068) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.38/2.79 (34069) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.38/2.79 alpha20( X, Y ) }.
% 2.38/2.79 (34070) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.38/2.79 ) ) }.
% 2.38/2.79 (34071) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.38/2.79 (34072) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.38/2.79 }.
% 2.38/2.79 (34073) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.38/2.79 (34074) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.38/2.79 ) }.
% 2.38/2.79 (34075) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.38/2.79 ) }.
% 2.38/2.79 (34076) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.38/2.79 ) }.
% 2.38/2.79 (34077) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.38/2.79 ) }.
% 2.38/2.79 (34078) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.38/2.79 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.38/2.79 (34079) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.38/2.79 X ) ) = X }.
% 2.38/2.79 (34080) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.38/2.79 (34081) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.38/2.79 (34082) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.38/2.79 = app( cons( Y, nil ), X ) }.
% 2.38/2.79 (34083) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.38/2.79 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.38/2.79 (34084) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.38/2.79 X, Y ), nil = Y }.
% 2.38/2.79 (34085) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.38/2.79 X, Y ), nil = X }.
% 2.38/2.79 (34086) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.38/2.79 nil = X, nil = app( X, Y ) }.
% 2.38/2.79 (34087) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.38/2.79 (34088) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.38/2.79 app( X, Y ) ) = hd( X ) }.
% 2.38/2.79 (34089) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.38/2.79 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.38/2.79 (34090) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.38/2.79 , ! geq( Y, X ), X = Y }.
% 2.38/2.79 (34091) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.79 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.38/2.79 (34092) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.38/2.79 (34093) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.38/2.79 (34094) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.79 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.38/2.79 (34095) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.38/2.79 , X = Y, lt( X, Y ) }.
% 2.38/2.79 (34096) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.79 , ! X = Y }.
% 2.38/2.79 (34097) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.38/2.79 , leq( X, Y ) }.
% 2.38/2.79 (34098) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.38/2.79 ( X, Y ), lt( X, Y ) }.
% 2.38/2.79 (34099) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.38/2.79 , ! gt( Y, X ) }.
% 2.38/2.79 (34100) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.38/2.79 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.38/2.79 (34101) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.38/2.79 (34102) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.38/2.79 (34103) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.38/2.79 (34104) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.38/2.79 (34105) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.38/2.79 (34106) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.38/2.79 (34107) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 2.38/2.79 (34108) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol52 }.
% 2.38/2.79 (34109) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ), nil = skol51 }.
% 2.38/2.79 (34110) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47( Z, T ) )
% 2.38/2.79 }.
% 2.38/2.79 (34111) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), memberP( Y, skol47( Z, Y
% 2.38/2.79 ) ) }.
% 2.38/2.79 (34112) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X, Y ),
% 2.38/2.79 nil ) = X }.
% 2.38/2.79 (34113) {G0,W13,D3,L4,V3,M4} { ! ssItem( Z ), ! cons( Z, nil ) = X, !
% 2.38/2.79 memberP( Y, Z ), alpha44( X, Y ) }.
% 2.38/2.79
% 2.38/2.79
% 2.38/2.79 Total Proof:
% 2.38/2.79
% 2.38/2.79 subsumption: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X )
% 2.38/2.79 , ssItem( skol4( Y ) ) }.
% 2.38/2.79 parent0: (33836) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ),
% 2.38/2.79 ssItem( skol4( Y ) ) }.
% 2.38/2.79 substitution0:
% 2.38/2.79 X := X
% 2.38/2.79 Y := Y
% 2.38/2.79 end
% 2.38/2.79 permutation0:
% 2.38/2.79 0 ==> 0
% 2.38/2.79 1 ==> 1
% 2.38/2.79 2 ==> 2
% 2.38/2.79 end
% 2.38/2.79
% 2.38/2.79 subsumption: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.38/2.79 , cons( skol4( X ), nil ) ==> X }.
% 2.38/2.79 parent0: (33837) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ),
% 2.38/2.79 cons( skol4( X ), nil ) = X }.
% 2.38/2.79 substitution0:
% 2.38/2.79 X := X
% 2.38/2.79 end
% 2.38/2.79 permutation0:
% 2.38/2.79 0 ==> 0
% 2.38/2.79 1 ==> 1
% 2.38/2.79 2 ==> 2
% 2.38/2.79 end
% 2.38/2.79
% 2.38/2.79 subsumption: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.38/2.79 cons( Y, nil ) = X, singletonP( X ) }.
% 2.38/2.79 parent0: (33838) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), !
% 2.38/2.79 cons( Y, nil ) = X, singletonP( X ) }.
% 2.38/2.79 substitution0:
% 2.38/2.79 X := X
% 2.38/2.79 Y := Y
% 2.38/2.79 end
% 2.38/2.79 permutation0:
% 2.38/2.79 0 ==> 0
% 2.38/2.79 1 ==> 1
% 2.38/2.79 2 ==> 2
% 2.38/2.79 3 ==> 3
% 2.38/2.79 end
% 2.38/2.79
% 2.38/2.79 subsumption: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X,
% 2.38/2.79 skol24( X ) ), totalorderedP( X ) }.
% 2.38/2.79 parent0: (33916) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24
% 2.38/2.79 ( X ) ), totalorderedP( X ) }.
% 2.38/2.79 substitution0:
% 2.38/2.79 X := X
% 2.38/2.79 end
% 2.38/2.79 permutation0:
% 2.38/2.79 0 ==> 0
% 2.38/2.79 1 ==> 1
% 2.38/2.79 2 ==> 2
% 2.38/2.79 end
% 2.38/2.79
% 2.38/2.79 subsumption: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6
% 2.38/2.79 ( X, Y ) }.
% 2.38/2.79 parent0: (33918) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X
% 2.38/2.81 , Y ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 Z := Z
% 2.38/2.81 T := T
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.38/2.81 ssList( cons( Y, X ) ) }.
% 2.38/2.81 parent0: (33985) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ),
% 2.38/2.81 ssList( cons( Y, X ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 2 ==> 2
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.81 parent0: (33986) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 2.38/2.81 cons( X, nil ) ) }.
% 2.38/2.81 parent0: (34048) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons
% 2.38/2.81 ( X, nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.38/2.81 parent0: (34049) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.38/2.81 parent0: (34101) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (35475) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.38/2.81 parent0[0]: (34105) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.38/2.81 parent0: (35475) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (35823) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.38/2.81 parent0[0]: (34106) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.81 parent0: (35823) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.38/2.81 parent0: (34107) {G0,W2,D2,L1,V0,M1} { ! totalorderedP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (37390) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol51,
% 2.38/2.81 skol52 ) }.
% 2.38/2.81 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.81 parent1[1; 2]: (34109) {G0,W6,D2,L2,V0,M2} { alpha44( skol51, skol52 ),
% 2.38/2.81 nil = skol51 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (37392) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ), nil =
% 2.38/2.81 skol46 }.
% 2.38/2.81 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.38/2.81 parent1[1; 1]: (37390) {G1,W6,D2,L2,V0,M2} { nil = skol46, alpha44( skol51
% 2.38/2.81 , skol52 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (37393) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.38/2.81 skol46 }.
% 2.38/2.81 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.38/2.81 parent1[0; 2]: (37392) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol52 ),
% 2.38/2.81 nil = skol46 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (37394) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 2.38/2.81 skol50 ) }.
% 2.38/2.81 parent0[1]: (37393) {G1,W6,D2,L2,V0,M2} { alpha44( skol46, skol50 ), nil =
% 2.38/2.81 skol46 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 2.38/2.81 nil, alpha44( skol46, skol50 ) }.
% 2.38/2.81 parent0: (37394) {G1,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 2.38/2.81 skol50 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem(
% 2.38/2.81 skol47( Z, T ) ) }.
% 2.38/2.81 parent0: (34110) {G0,W7,D3,L2,V4,M2} { ! alpha44( X, Y ), ssItem( skol47(
% 2.38/2.81 Z, T ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 Z := Z
% 2.38/2.81 T := T
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.38/2.81 ( X, Y ), nil ) ==> X }.
% 2.38/2.81 parent0: (34112) {G0,W10,D4,L2,V2,M2} { ! alpha44( X, Y ), cons( skol47( X
% 2.38/2.81 , Y ), nil ) = X }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (38097) {G1,W5,D2,L2,V0,M2} { ! totalorderedP( nil ), alpha44(
% 2.38/2.81 skol46, skol50 ) }.
% 2.38/2.81 parent0[0]: (283) {G1,W6,D2,L2,V0,M2} I;d(280);d(280);d(279) { skol46 ==>
% 2.38/2.81 nil, alpha44( skol46, skol50 ) }.
% 2.38/2.81 parent1[0; 2]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38108) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.38/2.81 parent0[0]: (38097) {G1,W5,D2,L2,V0,M2} { ! totalorderedP( nil ), alpha44
% 2.38/2.81 ( skol46, skol50 ) }.
% 2.38/2.81 parent1[0]: (224) {G0,W2,D2,L1,V0,M1} I { totalorderedP( nil ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46
% 2.38/2.81 , skol50 ) }.
% 2.38/2.81 parent0: (38108) {G1,W3,D2,L1,V0,M1} { alpha44( skol46, skol50 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38109) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 2.38/2.81 ) ), totalorderedP( skol46 ) }.
% 2.38/2.81 parent0[0]: (91) {G0,W8,D3,L3,V1,M3} I { ! ssList( X ), ! alpha6( X, skol24
% 2.38/2.81 ( X ) ), totalorderedP( X ) }.
% 2.38/2.81 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol46
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38110) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46
% 2.38/2.81 ) ) }.
% 2.38/2.81 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.38/2.81 parent1[1]: (38109) {G1,W6,D3,L2,V0,M2} { ! alpha6( skol46, skol24( skol46
% 2.38/2.81 ) ), totalorderedP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (4762) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46
% 2.38/2.81 , skol24( skol46 ) ) }.
% 2.38/2.81 parent0: (38110) {G1,W4,D3,L1,V0,M1} { ! alpha6( skol46, skol24( skol46 )
% 2.38/2.81 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38111) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 2.38/2.81 parent0[0]: (4762) {G1,W4,D3,L1,V0,M1} R(91,275);r(281) { ! alpha6( skol46
% 2.38/2.81 , skol24( skol46 ) ) }.
% 2.38/2.81 parent1[1]: (93) {G0,W7,D3,L2,V4,M2} I { ssItem( skol25( Z, T ) ), alpha6(
% 2.38/2.81 X, Y ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := skol46
% 2.38/2.81 Y := skol24( skol46 )
% 2.38/2.81 Z := X
% 2.38/2.81 T := Y
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (4808) {G2,W4,D3,L1,V2,M1} R(93,4762) { ssItem( skol25( X, Y )
% 2.38/2.81 ) }.
% 2.38/2.81 parent0: (38111) {G1,W4,D3,L1,V2,M1} { ssItem( skol25( X, Y ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (38112) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList( Y )
% 2.38/2.81 , ! ssItem( X ), singletonP( Y ) }.
% 2.38/2.81 parent0[2]: (13) {G0,W11,D3,L4,V2,M4} I { ! ssList( X ), ! ssItem( Y ), !
% 2.38/2.81 cons( Y, nil ) = X, singletonP( X ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38113) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.38/2.81 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.38/2.81 }.
% 2.38/2.81 parent0[1]: (38112) {G0,W11,D3,L4,V2,M4} { ! Y = cons( X, nil ), ! ssList
% 2.38/2.81 ( Y ), ! ssItem( X ), singletonP( Y ) }.
% 2.38/2.81 parent1[2]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.38/2.81 ssList( cons( Y, X ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Z
% 2.38/2.81 Y := cons( X, Y )
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (38114) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.38/2.81 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X ) }.
% 2.38/2.81 parent0[0]: (38113) {G1,W17,D3,L5,V3,M5} { ! cons( X, Y ) = cons( Z, nil )
% 2.38/2.81 , ! ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.38/2.81 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 Z := Z
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (12833) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.38/2.81 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.38/2.81 cons( Y, X ) ) }.
% 2.38/2.81 parent0: (38114) {G1,W17,D3,L5,V3,M5} { ! cons( Z, nil ) = cons( X, Y ), !
% 2.38/2.81 ssItem( Z ), singletonP( cons( X, Y ) ), ! ssList( Y ), ! ssItem( X )
% 2.38/2.81 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := X
% 2.38/2.81 Z := Z
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 3
% 2.38/2.81 1 ==> 2
% 2.38/2.81 2 ==> 4
% 2.38/2.81 3 ==> 0
% 2.38/2.81 4 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38117) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X,
% 2.38/2.81 nil ) ) }.
% 2.38/2.81 parent0[0]: (160) {G0,W8,D3,L3,V2,M3} I { ! ssList( X ), ! ssItem( Y ),
% 2.38/2.81 ssList( cons( Y, X ) ) }.
% 2.38/2.81 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := nil
% 2.38/2.81 Y := X
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (12850) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.38/2.81 ( cons( X, nil ) ) }.
% 2.38/2.81 parent0: (38117) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), ssList( cons( X, nil
% 2.38/2.81 ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqswap: (38118) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil ), !
% 2.38/2.81 ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) ) }.
% 2.38/2.81 parent0[3]: (12833) {G1,W17,D3,L5,V3,M5} R(160,13) { ! ssList( X ), !
% 2.38/2.81 ssItem( Y ), ! ssItem( Z ), ! cons( Z, nil ) = cons( Y, X ), singletonP(
% 2.38/2.81 cons( Y, X ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Z
% 2.38/2.81 Y := Y
% 2.38/2.81 Z := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 eqrefl: (38119) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X ), !
% 2.38/2.81 ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.38/2.81 parent0[0]: (38118) {G1,W17,D3,L5,V3,M5} { ! cons( Y, Z ) = cons( X, nil )
% 2.38/2.81 , ! ssList( Z ), ! ssItem( Y ), ! ssItem( X ), singletonP( cons( Y, Z ) )
% 2.38/2.81 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := X
% 2.38/2.81 Z := nil
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38121) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X ),
% 2.38/2.81 singletonP( cons( X, nil ) ) }.
% 2.38/2.81 parent0[0]: (38119) {G0,W10,D3,L4,V1,M4} { ! ssList( nil ), ! ssItem( X )
% 2.38/2.81 , ! ssItem( X ), singletonP( cons( X, nil ) ) }.
% 2.38/2.81 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 factor: (38122) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X,
% 2.38/2.81 nil ) ) }.
% 2.38/2.81 parent0[0, 1]: (38121) {G1,W8,D3,L3,V1,M3} { ! ssItem( X ), ! ssItem( X )
% 2.38/2.81 , singletonP( cons( X, nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (12878) {G2,W6,D3,L2,V1,M2} Q(12833);f;r(161) { ! ssItem( X )
% 2.38/2.81 , singletonP( cons( X, nil ) ) }.
% 2.38/2.81 parent0: (38122) {G1,W6,D3,L2,V1,M2} { ! ssItem( X ), singletonP( cons( X
% 2.38/2.81 , nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38124) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.38/2.81 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.38/2.81 parent0[1]: (11) {G0,W7,D3,L3,V2,M3} I { ! ssList( X ), ! singletonP( X ),
% 2.38/2.81 ssItem( skol4( Y ) ) }.
% 2.38/2.81 parent1[1]: (12878) {G2,W6,D3,L2,V1,M2} Q(12833);f;r(161) { ! ssItem( X ),
% 2.38/2.81 singletonP( cons( X, nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := cons( X, nil )
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38125) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), ! ssItem(
% 2.38/2.81 X ), ! ssItem( X ) }.
% 2.38/2.81 parent0[0]: (38124) {G1,W9,D3,L3,V2,M3} { ! ssList( cons( X, nil ) ),
% 2.38/2.81 ssItem( skol4( Y ) ), ! ssItem( X ) }.
% 2.38/2.81 parent1[1]: (12850) {G1,W6,D3,L2,V1,M2} R(160,161) { ! ssItem( X ), ssList
% 2.38/2.81 ( cons( X, nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 factor: (38126) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.38/2.81 }.
% 2.38/2.81 parent0[1, 2]: (38125) {G2,W7,D3,L3,V2,M3} { ssItem( skol4( Y ) ), !
% 2.38/2.81 ssItem( X ), ! ssItem( X ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (12944) {G3,W5,D3,L2,V2,M2} R(12878,11);r(12850) { ! ssItem( X
% 2.38/2.81 ), ssItem( skol4( Y ) ) }.
% 2.38/2.81 parent0: (38126) {G2,W5,D3,L2,V2,M2} { ssItem( skol4( X ) ), ! ssItem( Y )
% 2.38/2.81 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 1
% 2.38/2.81 1 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38127) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.38/2.81 parent0[0]: (12944) {G3,W5,D3,L2,V2,M2} R(12878,11);r(12850) { ! ssItem( X
% 2.38/2.81 ), ssItem( skol4( Y ) ) }.
% 2.38/2.81 parent1[0]: (4808) {G2,W4,D3,L1,V2,M1} R(93,4762) { ssItem( skol25( X, Y )
% 2.38/2.81 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol25( X, Y )
% 2.38/2.81 Y := Z
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (13042) {G4,W3,D3,L1,V1,M1} R(12944,4808) { ssItem( skol4( X )
% 2.38/2.81 ) }.
% 2.38/2.81 parent0: (38127) {G3,W3,D3,L1,V1,M1} { ssItem( skol4( Z ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := Y
% 2.38/2.81 Y := Z
% 2.38/2.81 Z := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38128) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X )
% 2.38/2.81 , nil ) ) }.
% 2.38/2.81 parent0[0]: (223) {G0,W6,D3,L2,V1,M2} I { ! ssItem( X ), totalorderedP(
% 2.38/2.81 cons( X, nil ) ) }.
% 2.38/2.81 parent1[0]: (13042) {G4,W3,D3,L1,V1,M1} R(12944,4808) { ssItem( skol4( X )
% 2.38/2.81 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol4( X )
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (13268) {G5,W5,D4,L1,V1,M1} R(13042,223) { totalorderedP( cons
% 2.38/2.81 ( skol4( X ), nil ) ) }.
% 2.38/2.81 parent0: (38128) {G1,W5,D4,L1,V1,M1} { totalorderedP( cons( skol4( X ),
% 2.38/2.81 nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (38130) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 2.38/2.81 ! singletonP( X ) }.
% 2.38/2.81 parent0[2]: (12) {G0,W10,D4,L3,V1,M3} I { ! ssList( X ), ! singletonP( X )
% 2.38/2.81 , cons( skol4( X ), nil ) ==> X }.
% 2.38/2.81 parent1[0; 1]: (13268) {G5,W5,D4,L1,V1,M1} R(13042,223) { totalorderedP(
% 2.38/2.81 cons( skol4( X ), nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (19000) {G6,W6,D2,L3,V1,M3} P(12,13268) { totalorderedP( X ),
% 2.38/2.81 ! ssList( X ), ! singletonP( X ) }.
% 2.38/2.81 parent0: (38130) {G1,W6,D2,L3,V1,M3} { totalorderedP( X ), ! ssList( X ),
% 2.38/2.81 ! singletonP( X ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 2 ==> 2
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38131) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol46 ), !
% 2.38/2.81 singletonP( skol46 ) }.
% 2.38/2.81 parent0[1]: (19000) {G6,W6,D2,L3,V1,M3} P(12,13268) { totalorderedP( X ), !
% 2.38/2.81 ssList( X ), ! singletonP( X ) }.
% 2.38/2.81 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol46
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38132) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.38/2.81 parent0[0]: (281) {G0,W2,D2,L1,V0,M1} I { ! totalorderedP( skol46 ) }.
% 2.38/2.81 parent1[0]: (38131) {G1,W4,D2,L2,V0,M2} { totalorderedP( skol46 ), !
% 2.38/2.81 singletonP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (22109) {G7,W2,D2,L1,V0,M1} R(19000,275);r(281) { ! singletonP
% 2.38/2.81 ( skol46 ) }.
% 2.38/2.81 parent0: (38132) {G1,W2,D2,L1,V0,M1} { ! singletonP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38133) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.38/2.81 parent0[0]: (284) {G0,W7,D3,L2,V4,M2} I { ! alpha44( X, Y ), ssItem( skol47
% 2.38/2.81 ( Z, T ) ) }.
% 2.38/2.81 parent1[0]: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46,
% 2.38/2.81 skol50 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol46
% 2.38/2.81 Y := skol50
% 2.38/2.81 Z := X
% 2.38/2.81 T := Y
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (33492) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y
% 2.38/2.81 ) ) }.
% 2.38/2.81 parent0: (38133) {G1,W4,D3,L1,V2,M1} { ssItem( skol47( X, Y ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 paramod: (38135) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y )
% 2.38/2.81 , ! ssItem( skol47( X, Y ) ) }.
% 2.38/2.81 parent0[1]: (286) {G0,W10,D4,L2,V2,M2} I { ! alpha44( X, Y ), cons( skol47
% 2.38/2.81 ( X, Y ), nil ) ==> X }.
% 2.38/2.81 parent1[1; 1]: (12878) {G2,W6,D3,L2,V1,M2} Q(12833);f;r(161) { ! ssItem( X
% 2.38/2.81 ), singletonP( cons( X, nil ) ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := skol47( X, Y )
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38136) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y
% 2.38/2.81 ) }.
% 2.38/2.81 parent0[2]: (38135) {G1,W9,D3,L3,V2,M3} { singletonP( X ), ! alpha44( X, Y
% 2.38/2.81 ), ! ssItem( skol47( X, Y ) ) }.
% 2.38/2.81 parent1[0]: (33492) {G3,W4,D3,L1,V2,M1} R(284,871) { ssItem( skol47( X, Y )
% 2.38/2.81 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (33743) {G4,W5,D2,L2,V2,M2} P(286,12878);r(33492) { singletonP
% 2.38/2.81 ( X ), ! alpha44( X, Y ) }.
% 2.38/2.81 parent0: (38136) {G2,W5,D2,L2,V2,M2} { singletonP( X ), ! alpha44( X, Y )
% 2.38/2.81 }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := X
% 2.38/2.81 Y := Y
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 0 ==> 0
% 2.38/2.81 1 ==> 1
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38137) {G3,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.38/2.81 parent0[1]: (33743) {G4,W5,D2,L2,V2,M2} P(286,12878);r(33492) { singletonP
% 2.38/2.81 ( X ), ! alpha44( X, Y ) }.
% 2.38/2.81 parent1[0]: (871) {G2,W3,D2,L1,V0,M1} P(283,281);r(224) { alpha44( skol46,
% 2.38/2.81 skol50 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 X := skol46
% 2.38/2.81 Y := skol50
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 resolution: (38138) {G4,W0,D0,L0,V0,M0} { }.
% 2.38/2.81 parent0[0]: (22109) {G7,W2,D2,L1,V0,M1} R(19000,275);r(281) { ! singletonP
% 2.38/2.81 ( skol46 ) }.
% 2.38/2.81 parent1[0]: (38137) {G3,W2,D2,L1,V0,M1} { singletonP( skol46 ) }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 substitution1:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 subsumption: (33823) {G8,W0,D0,L0,V0,M0} R(33743,871);r(22109) { }.
% 2.38/2.81 parent0: (38138) {G4,W0,D0,L0,V0,M0} { }.
% 2.38/2.81 substitution0:
% 2.38/2.81 end
% 2.38/2.81 permutation0:
% 2.38/2.81 end
% 2.38/2.81
% 2.38/2.81 Proof check complete!
% 2.38/2.81
% 2.38/2.81 Memory use:
% 2.38/2.81
% 2.38/2.81 space for terms: 629489
% 2.38/2.81 space for clauses: 1517721
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 clauses generated: 108686
% 2.38/2.81 clauses kept: 33824
% 2.38/2.81 clauses selected: 1156
% 2.38/2.81 clauses deleted: 2605
% 2.38/2.81 clauses inuse deleted: 67
% 2.38/2.81
% 2.38/2.81 subsentry: 174821
% 2.38/2.81 literals s-matched: 111423
% 2.38/2.81 literals matched: 95271
% 2.38/2.81 full subsumption: 52596
% 2.38/2.81
% 2.38/2.81 checksum: -368956570
% 2.38/2.81
% 2.38/2.81
% 2.38/2.81 Bliksem ended
%------------------------------------------------------------------------------