TSTP Solution File: SWC406+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC406+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 19:36:39 EDT 2022
% Result : Theorem 2.54s 2.89s
% Output : Refutation 2.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC406+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sun Jun 12 19:59:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/1.16 *** allocated 10000 integers for termspace/termends
% 0.46/1.16 *** allocated 10000 integers for clauses
% 0.46/1.16 *** allocated 10000 integers for justifications
% 0.46/1.16 Bliksem 1.12
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 Automatic Strategy Selection
% 0.46/1.16
% 0.46/1.16 *** allocated 15000 integers for termspace/termends
% 0.46/1.16
% 0.46/1.16 Clauses:
% 0.46/1.16
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ssItem( skol1 ) }.
% 0.46/1.16 { ssItem( skol48 ) }.
% 0.46/1.16 { ! skol1 = skol48 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.46/1.16 ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.46/1.16 ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.46/1.16 = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.46/1.16 , Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.46/1.16 segmentP( X, Y ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.46/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.46/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.46/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.46/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.46/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.46/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, leq( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, lt( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, ! Y = Z }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.46/1.16 Z }.
% 0.46/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.46/1.16 { ssList( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Z = T }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Y = X }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( skol49( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, cons( skol49( X ), skol43( X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.46/1.16 ( cons( Z, Y ), X ) }.
% 0.46/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.46/1.16 , leq( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.46/1.16 lt( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.46/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.46/1.16 , X = Y, memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.46/1.16 ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 cons( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.46/1.16 { ! singletonP( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.46/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.46/1.16 = Y }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.46/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.46/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.46/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.46/1.16 ( app( Z, X ), Y ) }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.46/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.46/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.46/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.46/1.16 { cyclefreeP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.46/1.16 { strictorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderedP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.16 alpha10( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.46/1.16 .
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.46/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.46/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.46/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.46/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.46/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.46/1.16 { strictorderedP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.16 alpha11( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.46/1.16 .
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.46/1.16 , Y ) ) }.
% 0.46/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.46/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.46/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.46/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.46/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.46/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.46/1.16 { duplicatefreeP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.46/1.16 { equalelemsP( nil ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.46/1.16 ( Y ) = tl( X ), Y = X }.
% 0.46/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.46/1.16 , Z = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.46/1.16 , Z = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.46/1.16 ( X, app( Y, Z ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.46/1.16 Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.46/1.16 , geq( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.46/1.16 , lt( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.46/1.16 gt( X, Z ) }.
% 0.46/1.16 { ssList( skol46 ) }.
% 0.46/1.16 { ssList( skol50 ) }.
% 0.46/1.16 { ssList( skol51 ) }.
% 0.46/1.16 { ssList( skol52 ) }.
% 0.46/1.16 { skol50 = skol52 }.
% 0.46/1.16 { skol46 = skol51 }.
% 0.46/1.16 { ! ssItem( X ), memberP( skol51, X ), alpha44( skol52, X ), ! memberP(
% 0.46/1.16 skol52, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! memberP( skol51, X ), memberP( skol52, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! memberP( skol51, X ), ! ssItem( Y ), X = Y, ! memberP(
% 0.46/1.16 skol52, Y ), ! leq( Y, X ) }.
% 0.46/1.16 { ssItem( skol53 ) }.
% 0.46/1.16 { memberP( skol46, skol53 ) }.
% 0.46/1.16 { ! memberP( skol50, skol53 ) }.
% 0.46/1.16 { ! alpha44( X, Y ), leq( skol47( Z, Y ), Y ) }.
% 0.46/1.16 { ! alpha44( X, Y ), ! Y = skol47( Z, Y ) }.
% 0.46/1.16 { ! alpha44( X, Y ), alpha45( X, skol47( X, Y ) ) }.
% 0.46/1.16 { ! alpha45( X, Z ), ! leq( Z, Y ), Y = Z, alpha44( X, Y ) }.
% 0.46/1.16 { ! alpha45( X, Y ), ssItem( Y ) }.
% 0.46/1.16 { ! alpha45( X, Y ), memberP( X, Y ) }.
% 0.46/1.16 { ! ssItem( Y ), ! memberP( X, Y ), alpha45( X, Y ) }.
% 0.46/1.16
% 0.46/1.16 *** allocated 15000 integers for clauses
% 0.46/1.16 percentage equality = 0.126728, percentage horn = 0.761905
% 0.46/1.16 This is a problem with some equality
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 Options Used:
% 0.46/1.16
% 0.46/1.16 useres = 1
% 0.46/1.16 useparamod = 1
% 0.46/1.16 useeqrefl = 1
% 0.46/1.16 useeqfact = 1
% 0.46/1.16 usefactor = 1
% 0.46/1.16 usesimpsplitting = 0
% 0.46/1.16 usesimpdemod = 5
% 0.46/1.16 usesimpres = 3
% 0.46/1.16
% 0.46/1.16 resimpinuse = 1000
% 0.46/1.16 resimpclauses = 20000
% 0.46/1.16 substype = eqrewr
% 0.46/1.16 backwardsubs = 1
% 0.46/1.16 selectoldest = 5
% 0.46/1.16
% 0.46/1.16 litorderings [0] = split
% 0.46/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.16
% 0.46/1.16 termordering = kbo
% 0.46/1.16
% 0.46/1.16 litapriori = 0
% 0.46/1.16 termapriori = 1
% 0.46/1.16 litaposteriori = 0
% 0.46/1.16 termaposteriori = 0
% 0.46/1.16 demodaposteriori = 0
% 0.46/1.16 ordereqreflfact = 0
% 0.46/1.16
% 0.46/1.16 litselect = negord
% 0.46/1.16
% 0.46/1.16 maxweight = 15
% 0.46/1.16 maxdepth = 30000
% 0.46/1.16 maxlength = 115
% 0.46/1.16 maxnrvars = 195
% 0.46/1.16 excuselevel = 1
% 0.46/1.16 increasemaxweight = 1
% 0.46/1.16
% 0.46/1.16 maxselected = 10000000
% 0.46/1.16 maxnrclauses = 10000000
% 0.46/1.16
% 0.46/1.16 showgenerated = 0
% 0.46/1.16 showkept = 0
% 0.46/1.16 showselected = 0
% 0.46/1.16 showdeleted = 0
% 0.46/1.16 showresimp = 1
% 0.46/1.16 showstatus = 2000
% 0.46/1.16
% 0.46/1.16 prologoutput = 0
% 0.46/1.16 nrgoals = 5000000
% 0.46/1.16 totalproof = 1
% 0.46/1.16
% 0.46/1.16 Symbols occurring in the translation:
% 0.46/1.16
% 0.46/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.16 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.46/1.16 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.46/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.16 ssItem [36, 1] (w:1, o:26, a:1, s:1, b:0),
% 1.20/1.56 neq [38, 2] (w:1, o:77, a:1, s:1, b:0),
% 1.20/1.56 ssList [39, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.20/1.56 memberP [40, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.20/1.56 cons [43, 2] (w:1, o:78, a:1, s:1, b:0),
% 1.20/1.56 app [44, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.20/1.56 singletonP [45, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.20/1.56 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.20/1.56 frontsegP [47, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.20/1.56 rearsegP [48, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.20/1.56 segmentP [49, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.20/1.56 cyclefreeP [50, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.20/1.56 leq [53, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.20/1.56 totalorderP [54, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.20/1.56 strictorderP [55, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.20/1.56 lt [56, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.20/1.56 totalorderedP [57, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.20/1.56 strictorderedP [58, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.20/1.56 duplicatefreeP [59, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.20/1.56 equalelemsP [60, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.20/1.56 hd [61, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.20/1.56 tl [62, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.20/1.56 geq [63, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.20/1.56 gt [64, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.20/1.56 alpha1 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.20/1.56 alpha2 [67, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.20/1.56 alpha3 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.20/1.56 alpha4 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.20/1.56 alpha5 [70, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.20/1.56 alpha6 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.20/1.56 alpha7 [72, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.20/1.56 alpha8 [73, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.20/1.56 alpha9 [74, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.20/1.56 alpha10 [75, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.20/1.56 alpha11 [76, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.20/1.56 alpha12 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.20/1.56 alpha13 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.20/1.56 alpha14 [79, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.20/1.56 alpha15 [80, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.20/1.56 alpha16 [81, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.20/1.56 alpha17 [82, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.20/1.56 alpha18 [83, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.20/1.56 alpha19 [84, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.20/1.56 alpha20 [85, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.20/1.56 alpha21 [86, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.20/1.56 alpha22 [87, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.20/1.56 alpha23 [88, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.20/1.56 alpha24 [89, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.20/1.56 alpha25 [90, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.20/1.56 alpha26 [91, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.20/1.56 alpha27 [92, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.20/1.56 alpha28 [93, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.20/1.56 alpha29 [94, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.20/1.56 alpha30 [95, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.20/1.56 alpha31 [96, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.20/1.56 alpha32 [97, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.20/1.56 alpha33 [98, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.20/1.56 alpha34 [99, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.20/1.56 alpha35 [100, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.20/1.56 alpha36 [101, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.20/1.56 alpha37 [102, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.20/1.56 alpha38 [103, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.20/1.56 alpha39 [104, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.20/1.56 alpha40 [105, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.20/1.56 alpha41 [106, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.20/1.56 alpha42 [107, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.20/1.56 alpha43 [108, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.20/1.56 alpha44 [109, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.20/1.56 alpha45 [110, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.20/1.56 skol1 [111, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.20/1.56 skol2 [112, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.20/1.56 skol3 [113, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.20/1.56 skol4 [114, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.20/1.56 skol5 [115, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.20/1.56 skol6 [116, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.20/1.56 skol7 [117, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.20/1.56 skol8 [118, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.20/1.56 skol9 [119, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.20/1.56 skol10 [120, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.20/1.56 skol11 [121, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.20/1.56 skol12 [122, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.54/2.88 skol13 [123, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.54/2.88 skol14 [124, 1] (w:1, o:36, a:1, s:1, b:1),
% 2.54/2.88 skol15 [125, 2] (w:1, o:102, a:1, s:1, b:1),
% 2.54/2.88 skol16 [126, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.54/2.88 skol17 [127, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.54/2.88 skol18 [128, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.54/2.88 skol19 [129, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.54/2.88 skol20 [130, 2] (w:1, o:109, a:1, s:1, b:1),
% 2.54/2.88 skol21 [131, 3] (w:1, o:122, a:1, s:1, b:1),
% 2.54/2.88 skol22 [132, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.54/2.88 skol23 [133, 5] (w:1, o:154, a:1, s:1, b:1),
% 2.54/2.88 skol24 [134, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.54/2.88 skol25 [135, 2] (w:1, o:110, a:1, s:1, b:1),
% 2.54/2.88 skol26 [136, 3] (w:1, o:123, a:1, s:1, b:1),
% 2.54/2.88 skol27 [137, 4] (w:1, o:141, a:1, s:1, b:1),
% 2.54/2.88 skol28 [138, 5] (w:1, o:155, a:1, s:1, b:1),
% 2.54/2.88 skol29 [139, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.54/2.88 skol30 [140, 2] (w:1, o:111, a:1, s:1, b:1),
% 2.54/2.88 skol31 [141, 3] (w:1, o:128, a:1, s:1, b:1),
% 2.54/2.88 skol32 [142, 4] (w:1, o:142, a:1, s:1, b:1),
% 2.54/2.88 skol33 [143, 5] (w:1, o:156, a:1, s:1, b:1),
% 2.54/2.88 skol34 [144, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.54/2.88 skol35 [145, 2] (w:1, o:112, a:1, s:1, b:1),
% 2.54/2.88 skol36 [146, 3] (w:1, o:129, a:1, s:1, b:1),
% 2.54/2.88 skol37 [147, 4] (w:1, o:143, a:1, s:1, b:1),
% 2.54/2.88 skol38 [148, 5] (w:1, o:157, a:1, s:1, b:1),
% 2.54/2.88 skol39 [149, 1] (w:1, o:33, a:1, s:1, b:1),
% 2.54/2.88 skol40 [150, 2] (w:1, o:104, a:1, s:1, b:1),
% 2.54/2.88 skol41 [151, 3] (w:1, o:130, a:1, s:1, b:1),
% 2.54/2.88 skol42 [152, 4] (w:1, o:144, a:1, s:1, b:1),
% 2.54/2.88 skol43 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.54/2.88 skol44 [154, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.54/2.88 skol45 [155, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.54/2.88 skol46 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.54/2.88 skol47 [157, 2] (w:1, o:105, a:1, s:1, b:1),
% 2.54/2.88 skol48 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.54/2.88 skol49 [159, 1] (w:1, o:43, a:1, s:1, b:1),
% 2.54/2.88 skol50 [160, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.54/2.88 skol51 [161, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.54/2.88 skol52 [162, 0] (w:1, o:19, a:1, s:1, b:1),
% 2.54/2.88 skol53 [163, 0] (w:1, o:20, a:1, s:1, b:1).
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Starting Search:
% 2.54/2.88
% 2.54/2.88 *** allocated 22500 integers for clauses
% 2.54/2.88 *** allocated 33750 integers for clauses
% 2.54/2.88 *** allocated 50625 integers for clauses
% 2.54/2.88 *** allocated 22500 integers for termspace/termends
% 2.54/2.88 *** allocated 75937 integers for clauses
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 33750 integers for termspace/termends
% 2.54/2.88 *** allocated 113905 integers for clauses
% 2.54/2.88 *** allocated 50625 integers for termspace/termends
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 3591
% 2.54/2.88 Kept: 2004
% 2.54/2.88 Inuse: 235
% 2.54/2.88 Deleted: 11
% 2.54/2.88 Deletedinuse: 0
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 170857 integers for clauses
% 2.54/2.88 *** allocated 75937 integers for termspace/termends
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 256285 integers for clauses
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 7443
% 2.54/2.88 Kept: 4125
% 2.54/2.88 Inuse: 390
% 2.54/2.88 Deleted: 16
% 2.54/2.88 Deletedinuse: 5
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 113905 integers for termspace/termends
% 2.54/2.88 *** allocated 384427 integers for clauses
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 10495
% 2.54/2.88 Kept: 6151
% 2.54/2.88 Inuse: 522
% 2.54/2.88 Deleted: 19
% 2.54/2.88 Deletedinuse: 8
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 170857 integers for termspace/termends
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 576640 integers for clauses
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 13778
% 2.54/2.88 Kept: 8213
% 2.54/2.88 Inuse: 646
% 2.54/2.88 Deleted: 22
% 2.54/2.88 Deletedinuse: 11
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 16838
% 2.54/2.88 Kept: 10217
% 2.54/2.88 Inuse: 683
% 2.54/2.88 Deleted: 22
% 2.54/2.88 Deletedinuse: 11
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 256285 integers for termspace/termends
% 2.54/2.88 *** allocated 864960 integers for clauses
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 23091
% 2.54/2.88 Kept: 12764
% 2.54/2.88 Inuse: 754
% 2.54/2.88 Deleted: 28
% 2.54/2.88 Deletedinuse: 16
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 30875
% 2.54/2.88 Kept: 14856
% 2.54/2.88 Inuse: 784
% 2.54/2.88 Deleted: 49
% 2.54/2.88 Deletedinuse: 37
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 384427 integers for termspace/termends
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 37282
% 2.54/2.88 Kept: 16900
% 2.54/2.88 Inuse: 852
% 2.54/2.88 Deleted: 57
% 2.54/2.88 Deletedinuse: 43
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 *** allocated 1297440 integers for clauses
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 45119
% 2.54/2.88 Kept: 18910
% 2.54/2.88 Inuse: 910
% 2.54/2.88 Deleted: 57
% 2.54/2.88 Deletedinuse: 43
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying clauses:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 56003
% 2.54/2.88 Kept: 21192
% 2.54/2.88 Inuse: 938
% 2.54/2.88 Deleted: 2525
% 2.54/2.88 Deletedinuse: 46
% 2.54/2.88
% 2.54/2.88 *** allocated 576640 integers for termspace/termends
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 64864
% 2.54/2.88 Kept: 23412
% 2.54/2.88 Inuse: 972
% 2.54/2.88 Deleted: 2526
% 2.54/2.88 Deletedinuse: 46
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88 Resimplifying inuse:
% 2.54/2.88 Done
% 2.54/2.88
% 2.54/2.88
% 2.54/2.88 Intermediate Status:
% 2.54/2.88 Generated: 72657
% 2.54/2.88 Kept: 25425
% 2.54/2.88 Inuse: 1010
% 2.54/2.88 Deleted: 2536
% 2.54/2.89 Deletedinuse: 47
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89
% 2.54/2.89 Intermediate Status:
% 2.54/2.89 Generated: 79574
% 2.54/2.89 Kept: 27446
% 2.54/2.89 Inuse: 1044
% 2.54/2.89 Deleted: 2537
% 2.54/2.89 Deletedinuse: 48
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89 *** allocated 1946160 integers for clauses
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89
% 2.54/2.89 Intermediate Status:
% 2.54/2.89 Generated: 90258
% 2.54/2.89 Kept: 29696
% 2.54/2.89 Inuse: 1068
% 2.54/2.89 Deleted: 2538
% 2.54/2.89 Deletedinuse: 49
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89 *** allocated 864960 integers for termspace/termends
% 2.54/2.89
% 2.54/2.89 Intermediate Status:
% 2.54/2.89 Generated: 101813
% 2.54/2.89 Kept: 32200
% 2.54/2.89 Inuse: 1108
% 2.54/2.89 Deleted: 2541
% 2.54/2.89 Deletedinuse: 52
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89 Resimplifying inuse:
% 2.54/2.89 Done
% 2.54/2.89
% 2.54/2.89
% 2.54/2.89 Bliksems!, er is een bewijs:
% 2.54/2.89 % SZS status Theorem
% 2.54/2.89 % SZS output start Refutation
% 2.54/2.89
% 2.54/2.89 (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.54/2.89 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.54/2.89 (282) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ), ! memberP(
% 2.54/2.89 skol46, X ), memberP( skol50, X ) }.
% 2.54/2.89 (284) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 2.54/2.89 (285) {G0,W3,D2,L1,V0,M1} I { memberP( skol46, skol53 ) }.
% 2.54/2.89 (286) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol50, skol53 ) }.
% 2.54/2.89 (33328) {G2,W3,D2,L1,V0,M1} R(282,285);r(284) { memberP( skol50, skol53 )
% 2.54/2.89 }.
% 2.54/2.89 (33364) {G3,W0,D0,L0,V0,M0} S(33328);r(286) { }.
% 2.54/2.89
% 2.54/2.89
% 2.54/2.89 % SZS output end Refutation
% 2.54/2.89 found a proof!
% 2.54/2.89
% 2.54/2.89
% 2.54/2.89 Unprocessed initial clauses:
% 2.54/2.89
% 2.54/2.89 (33366) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.54/2.89 , ! X = Y }.
% 2.54/2.89 (33367) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33368) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.54/2.89 (33369) {G0,W2,D2,L1,V0,M1} { ssItem( skol48 ) }.
% 2.54/2.89 (33370) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol48 }.
% 2.54/2.89 (33371) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.54/2.89 , Y ), ssList( skol2( Z, T ) ) }.
% 2.54/2.89 (33372) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.54/2.89 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.54/2.89 (33373) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.54/2.89 (33374) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.54/2.89 ) ) }.
% 2.54/2.89 (33375) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.54/2.89 ( X, Y, Z ) ) ) = X }.
% 2.54/2.89 (33376) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.54/2.89 , alpha1( X, Y, Z ) }.
% 2.54/2.89 (33377) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.54/2.89 skol4( Y ) ) }.
% 2.54/2.89 (33378) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.54/2.89 skol4( X ), nil ) = X }.
% 2.54/2.89 (33379) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.54/2.89 nil ) = X, singletonP( X ) }.
% 2.54/2.89 (33380) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.89 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.54/2.89 (33381) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.89 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.54/2.89 (33382) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.54/2.89 (33383) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.89 , Y ), ssList( skol6( Z, T ) ) }.
% 2.54/2.89 (33384) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.89 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.54/2.89 (33385) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.54/2.89 (33386) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.89 , Y ), ssList( skol7( Z, T ) ) }.
% 2.54/2.89 (33387) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.89 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.54/2.89 (33388) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.54/2.89 (33389) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.54/2.89 ) ) }.
% 2.54/2.89 (33390) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.54/2.89 skol8( X, Y, Z ) ) = X }.
% 2.54/2.89 (33391) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.54/2.89 , alpha2( X, Y, Z ) }.
% 2.54/2.89 (33392) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.54/2.89 Y ), alpha3( X, Y ) }.
% 2.54/2.89 (33393) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.54/2.89 cyclefreeP( X ) }.
% 2.54/2.89 (33394) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.54/2.89 cyclefreeP( X ) }.
% 2.54/2.89 (33395) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33396) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.54/2.89 (33397) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33398) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha28( X, Y, Z, T ) }.
% 2.54/2.89 (33399) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33400) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.54/2.89 alpha21( X, Y, Z ) }.
% 2.54/2.89 (33401) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha35( X, Y, Z, T, U ) }.
% 2.54/2.89 (33402) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33403) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.54/2.89 ), alpha28( X, Y, Z, T ) }.
% 2.54/2.89 (33404) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha41( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33405) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha35( X, Y, Z, T, U ) }.
% 2.54/2.89 (33406) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.54/2.89 (33407) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.54/2.89 (33408) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33409) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.54/2.89 W ) }.
% 2.54/2.89 (33410) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.54/2.89 X ) }.
% 2.54/2.89 (33411) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.54/2.89 (33412) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.54/2.89 (33413) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.54/2.89 ( Y ), alpha4( X, Y ) }.
% 2.54/2.89 (33414) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.54/2.89 totalorderP( X ) }.
% 2.54/2.89 (33415) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.54/2.89 totalorderP( X ) }.
% 2.54/2.89 (33416) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33417) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.54/2.89 (33418) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33419) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha29( X, Y, Z, T ) }.
% 2.54/2.89 (33420) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33421) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.54/2.89 alpha22( X, Y, Z ) }.
% 2.54/2.89 (33422) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha36( X, Y, Z, T, U ) }.
% 2.54/2.89 (33423) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33424) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.54/2.89 ), alpha29( X, Y, Z, T ) }.
% 2.54/2.89 (33425) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha42( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33426) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha36( X, Y, Z, T, U ) }.
% 2.54/2.89 (33427) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.54/2.89 (33428) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.54/2.89 (33429) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33430) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.54/2.89 W ) }.
% 2.54/2.89 (33431) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.54/2.89 }.
% 2.54/2.89 (33432) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.54/2.89 (33433) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.54/2.89 (33434) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.54/2.89 ( Y ), alpha5( X, Y ) }.
% 2.54/2.89 (33435) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.54/2.89 strictorderP( X ) }.
% 2.54/2.89 (33436) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.54/2.89 strictorderP( X ) }.
% 2.54/2.89 (33437) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33438) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.54/2.89 (33439) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33440) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha30( X, Y, Z, T ) }.
% 2.54/2.89 (33441) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33442) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.54/2.89 alpha23( X, Y, Z ) }.
% 2.54/2.89 (33443) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha37( X, Y, Z, T, U ) }.
% 2.54/2.89 (33444) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33445) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.54/2.89 ), alpha30( X, Y, Z, T ) }.
% 2.54/2.89 (33446) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha43( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33447) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha37( X, Y, Z, T, U ) }.
% 2.54/2.89 (33448) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.54/2.89 (33449) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.54/2.89 (33450) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33451) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.54/2.89 W ) }.
% 2.54/2.89 (33452) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.54/2.89 }.
% 2.54/2.89 (33453) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.54/2.89 (33454) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.54/2.89 (33455) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.54/2.89 ssItem( Y ), alpha6( X, Y ) }.
% 2.54/2.89 (33456) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.54/2.89 totalorderedP( X ) }.
% 2.54/2.89 (33457) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.54/2.89 totalorderedP( X ) }.
% 2.54/2.89 (33458) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33459) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.54/2.89 (33460) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33461) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha24( X, Y, Z, T ) }.
% 2.54/2.89 (33462) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33463) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.54/2.89 alpha15( X, Y, Z ) }.
% 2.54/2.89 (33464) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha31( X, Y, Z, T, U ) }.
% 2.54/2.89 (33465) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33466) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.54/2.89 ), alpha24( X, Y, Z, T ) }.
% 2.54/2.89 (33467) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha38( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33468) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha31( X, Y, Z, T, U ) }.
% 2.54/2.89 (33469) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.54/2.89 (33470) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.54/2.89 (33471) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33472) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.54/2.89 }.
% 2.54/2.89 (33473) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.54/2.89 ssItem( Y ), alpha7( X, Y ) }.
% 2.54/2.89 (33474) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.54/2.89 strictorderedP( X ) }.
% 2.54/2.89 (33475) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.54/2.89 strictorderedP( X ) }.
% 2.54/2.89 (33476) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33477) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.54/2.89 (33478) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33479) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha25( X, Y, Z, T ) }.
% 2.54/2.89 (33480) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33481) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.54/2.89 alpha16( X, Y, Z ) }.
% 2.54/2.89 (33482) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha32( X, Y, Z, T, U ) }.
% 2.54/2.89 (33483) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33484) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.54/2.89 ), alpha25( X, Y, Z, T ) }.
% 2.54/2.89 (33485) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha39( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33486) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha32( X, Y, Z, T, U ) }.
% 2.54/2.89 (33487) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.54/2.89 (33488) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.54/2.89 (33489) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33490) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.54/2.89 }.
% 2.54/2.89 (33491) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.54/2.89 ssItem( Y ), alpha8( X, Y ) }.
% 2.54/2.89 (33492) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.54/2.89 duplicatefreeP( X ) }.
% 2.54/2.89 (33493) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.54/2.89 duplicatefreeP( X ) }.
% 2.54/2.89 (33494) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33495) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.54/2.89 (33496) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33497) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha26( X, Y, Z, T ) }.
% 2.54/2.89 (33498) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33499) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.54/2.89 alpha17( X, Y, Z ) }.
% 2.54/2.89 (33500) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha33( X, Y, Z, T, U ) }.
% 2.54/2.89 (33501) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33502) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.54/2.89 ), alpha26( X, Y, Z, T ) }.
% 2.54/2.89 (33503) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.54/2.89 alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33504) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.54/2.89 alpha33( X, Y, Z, T, U ) }.
% 2.54/2.89 (33505) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.54/2.89 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.54/2.89 (33506) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.54/2.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.54/2.89 (33507) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.54/2.89 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33508) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.54/2.89 (33509) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.54/2.89 ( Y ), alpha9( X, Y ) }.
% 2.54/2.89 (33510) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.54/2.89 equalelemsP( X ) }.
% 2.54/2.89 (33511) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.54/2.89 equalelemsP( X ) }.
% 2.54/2.89 (33512) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.54/2.89 , Y, Z ) }.
% 2.54/2.89 (33513) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.54/2.89 (33514) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33515) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.54/2.89 alpha27( X, Y, Z, T ) }.
% 2.54/2.89 (33516) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.54/2.89 Z ) }.
% 2.54/2.89 (33517) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.54/2.89 alpha18( X, Y, Z ) }.
% 2.54/2.89 (33518) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.54/2.89 alpha34( X, Y, Z, T, U ) }.
% 2.54/2.89 (33519) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.54/2.89 X, Y, Z, T ) }.
% 2.54/2.89 (33520) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.54/2.89 ), alpha27( X, Y, Z, T ) }.
% 2.54/2.89 (33521) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.54/2.89 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.54/2.89 (33522) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.54/2.89 alpha34( X, Y, Z, T, U ) }.
% 2.54/2.89 (33523) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.54/2.89 (33524) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.54/2.89 , ! X = Y }.
% 2.54/2.89 (33525) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.54/2.89 , Y ) }.
% 2.54/2.89 (33526) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.54/2.89 Y, X ) ) }.
% 2.54/2.89 (33527) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.54/2.89 (33528) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.54/2.89 = X }.
% 2.54/2.89 (33529) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.54/2.89 (33530) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.54/2.89 (33531) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.54/2.89 ) }.
% 2.54/2.89 (33532) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol49( Y )
% 2.54/2.89 ) }.
% 2.54/2.89 (33533) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol49( X ),
% 2.54/2.89 skol43( X ) ) = X }.
% 2.54/2.89 (33534) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.54/2.89 Y, X ) }.
% 2.54/2.89 (33535) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.54/2.89 }.
% 2.54/2.89 (33536) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.54/2.89 X ) ) = Y }.
% 2.54/2.89 (33537) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.54/2.89 }.
% 2.54/2.89 (33538) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.54/2.89 X ) ) = X }.
% 2.54/2.89 (33539) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.54/2.89 , Y ) ) }.
% 2.54/2.89 (33540) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.54/2.89 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.54/2.89 (33541) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.54/2.89 (33542) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.54/2.89 , ! leq( Y, X ), X = Y }.
% 2.54/2.89 (33543) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.89 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.54/2.89 (33544) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.54/2.89 (33545) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.54/2.89 , leq( Y, X ) }.
% 2.54/2.89 (33546) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.54/2.89 , geq( X, Y ) }.
% 2.54/2.89 (33547) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.89 , ! lt( Y, X ) }.
% 2.54/2.89 (33548) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.89 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.54/2.89 (33549) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.54/2.89 , lt( Y, X ) }.
% 2.54/2.89 (33550) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.54/2.89 , gt( X, Y ) }.
% 2.54/2.89 (33551) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.54/2.89 (33552) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.54/2.89 (33553) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.54/2.89 (33554) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.54/2.89 (33555) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.54/2.89 (33556) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.54/2.89 (33557) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.54/2.89 (33558) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.54/2.89 (33559) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.54/2.89 (33560) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.54/2.89 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.54/2.89 (33561) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.54/2.89 (33562) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.54/2.89 (33563) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.54/2.89 (33564) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.54/2.89 , T ) }.
% 2.54/2.89 (33565) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.54/2.89 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.54/2.89 cons( Y, T ) ) }.
% 2.54/2.89 (33566) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.54/2.89 (33567) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.54/2.89 X }.
% 2.54/2.89 (33568) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.54/2.89 ) }.
% 2.54/2.89 (33569) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.54/2.89 (33570) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.54/2.89 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.54/2.89 (33571) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.54/2.89 (33572) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.54/2.89 (33573) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.54/2.89 (33574) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.54/2.89 }.
% 2.54/2.89 (33575) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.54/2.89 }.
% 2.54/2.89 (33576) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.54/2.89 (33577) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.54/2.89 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.54/2.89 (33578) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.54/2.89 (33579) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.54/2.89 }.
% 2.54/2.89 (33580) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.54/2.89 (33581) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.54/2.89 }.
% 2.54/2.89 (33582) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.54/2.89 }.
% 2.54/2.89 (33583) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.54/2.89 }.
% 2.54/2.89 (33584) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.54/2.89 (33585) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.54/2.89 }.
% 2.54/2.89 (33586) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.54/2.89 (33587) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.54/2.89 ) }.
% 2.54/2.89 (33588) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.54/2.89 (33589) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.54/2.89 ) }.
% 2.54/2.89 (33590) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.54/2.89 (33591) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.54/2.89 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.54/2.89 (33592) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.54/2.89 totalorderedP( cons( X, Y ) ) }.
% 2.54/2.89 (33593) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.54/2.89 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.54/2.89 (33594) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.54/2.89 (33595) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.54/2.89 (33596) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.54/2.89 }.
% 2.54/2.89 (33597) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.54/2.89 (33598) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.54/2.89 (33599) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.54/2.89 alpha19( X, Y ) }.
% 2.54/2.89 (33600) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.54/2.89 ) ) }.
% 2.54/2.89 (33601) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.54/2.89 (33602) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.54/2.89 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.54/2.89 (33603) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.54/2.89 strictorderedP( cons( X, Y ) ) }.
% 2.54/2.89 (33604) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.54/2.89 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.54/2.89 (33605) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.54/2.89 (33606) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.54/2.89 (33607) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.54/2.89 }.
% 2.54/2.89 (33608) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.54/2.89 (33609) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.54/2.89 (33610) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.54/2.89 alpha20( X, Y ) }.
% 2.54/2.89 (33611) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.54/2.89 ) ) }.
% 2.54/2.89 (33612) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.54/2.89 (33613) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.54/2.89 }.
% 2.54/2.89 (33614) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.54/2.89 (33615) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.54/2.89 ) }.
% 2.54/2.89 (33616) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.54/2.89 ) }.
% 2.54/2.89 (33617) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.54/2.89 ) }.
% 2.54/2.89 (33618) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.54/2.89 ) }.
% 2.54/2.89 (33619) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.54/2.89 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.54/2.89 (33620) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.54/2.89 X ) ) = X }.
% 2.54/2.89 (33621) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.54/2.89 (33622) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.54/2.89 (33623) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.54/2.89 = app( cons( Y, nil ), X ) }.
% 2.54/2.89 (33624) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.54/2.89 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.54/2.89 (33625) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.54/2.89 X, Y ), nil = Y }.
% 2.54/2.89 (33626) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.54/2.89 X, Y ), nil = X }.
% 2.54/2.89 (33627) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.54/2.89 nil = X, nil = app( X, Y ) }.
% 2.54/2.89 (33628) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.54/2.89 (33629) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.54/2.89 app( X, Y ) ) = hd( X ) }.
% 2.54/2.89 (33630) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.54/2.89 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.54/2.89 (33631) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.54/2.89 , ! geq( Y, X ), X = Y }.
% 2.54/2.89 (33632) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.89 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.54/2.89 (33633) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.54/2.89 (33634) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.54/2.89 (33635) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.89 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.54/2.89 (33636) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.54/2.89 , X = Y, lt( X, Y ) }.
% 2.54/2.89 (33637) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.89 , ! X = Y }.
% 2.54/2.89 (33638) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.54/2.89 , leq( X, Y ) }.
% 2.54/2.90 (33639) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.54/2.90 ( X, Y ), lt( X, Y ) }.
% 2.54/2.90 (33640) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.54/2.90 , ! gt( Y, X ) }.
% 2.54/2.90 (33641) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.54/2.90 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.54/2.90 (33642) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.54/2.90 (33643) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.54/2.90 (33644) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.54/2.90 (33645) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.54/2.90 (33646) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.54/2.90 (33647) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.54/2.90 (33648) {G0,W11,D2,L4,V1,M4} { ! ssItem( X ), memberP( skol51, X ),
% 2.54/2.90 alpha44( skol52, X ), ! memberP( skol52, X ) }.
% 2.54/2.90 (33649) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), ! memberP( skol51, X ),
% 2.54/2.90 memberP( skol52, X ) }.
% 2.54/2.90 (33650) {G0,W16,D2,L6,V2,M6} { ! ssItem( X ), ! memberP( skol51, X ), !
% 2.54/2.90 ssItem( Y ), X = Y, ! memberP( skol52, Y ), ! leq( Y, X ) }.
% 2.54/2.90 (33651) {G0,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 2.54/2.90 (33652) {G0,W3,D2,L1,V0,M1} { memberP( skol46, skol53 ) }.
% 2.54/2.90 (33653) {G0,W3,D2,L1,V0,M1} { ! memberP( skol50, skol53 ) }.
% 2.54/2.90 (33654) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), leq( skol47( Z, Y ), Y )
% 2.54/2.90 }.
% 2.54/2.90 (33655) {G0,W8,D3,L2,V3,M2} { ! alpha44( X, Y ), ! Y = skol47( Z, Y ) }.
% 2.54/2.90 (33656) {G0,W8,D3,L2,V2,M2} { ! alpha44( X, Y ), alpha45( X, skol47( X, Y
% 2.54/2.90 ) ) }.
% 2.54/2.90 (33657) {G0,W12,D2,L4,V3,M4} { ! alpha45( X, Z ), ! leq( Z, Y ), Y = Z,
% 2.54/2.90 alpha44( X, Y ) }.
% 2.54/2.90 (33658) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ssItem( Y ) }.
% 2.54/2.90 (33659) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), memberP( X, Y ) }.
% 2.54/2.90 (33660) {G0,W8,D2,L3,V2,M3} { ! ssItem( Y ), ! memberP( X, Y ), alpha45( X
% 2.54/2.90 , Y ) }.
% 2.54/2.90
% 2.54/2.90
% 2.54/2.90 Total Proof:
% 2.54/2.90
% 2.54/2.90 eqswap: (34007) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.54/2.90 parent0[0]: (33646) {G0,W3,D2,L1,V0,M1} { skol50 = skol52 }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.54/2.90 parent0: (34007) {G0,W3,D2,L1,V0,M1} { skol52 = skol50 }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 eqswap: (34355) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.54/2.90 parent0[0]: (33647) {G0,W3,D2,L1,V0,M1} { skol46 = skol51 }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.54/2.90 parent0: (34355) {G0,W3,D2,L1,V0,M1} { skol51 = skol46 }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 paramod: (35286) {G1,W8,D2,L3,V1,M3} { ! memberP( skol46, X ), ! ssItem( X
% 2.54/2.90 ), memberP( skol52, X ) }.
% 2.54/2.90 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol46 }.
% 2.54/2.90 parent1[1; 2]: (33649) {G0,W8,D2,L3,V1,M3} { ! ssItem( X ), ! memberP(
% 2.54/2.90 skol51, X ), memberP( skol52, X ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 substitution1:
% 2.54/2.90 X := X
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 paramod: (35287) {G1,W8,D2,L3,V1,M3} { memberP( skol50, X ), ! memberP(
% 2.54/2.90 skol46, X ), ! ssItem( X ) }.
% 2.54/2.90 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol52 ==> skol50 }.
% 2.54/2.90 parent1[2; 1]: (35286) {G1,W8,D2,L3,V1,M3} { ! memberP( skol46, X ), !
% 2.54/2.90 ssItem( X ), memberP( skol52, X ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 substitution1:
% 2.54/2.90 X := X
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (282) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ), !
% 2.54/2.90 memberP( skol46, X ), memberP( skol50, X ) }.
% 2.54/2.90 parent0: (35287) {G1,W8,D2,L3,V1,M3} { memberP( skol50, X ), ! memberP(
% 2.54/2.90 skol46, X ), ! ssItem( X ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 X := X
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 2
% 2.54/2.90 1 ==> 1
% 2.54/2.90 2 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (284) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 2.54/2.90 parent0: (33651) {G0,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (285) {G0,W3,D2,L1,V0,M1} I { memberP( skol46, skol53 ) }.
% 2.54/2.90 parent0: (33652) {G0,W3,D2,L1,V0,M1} { memberP( skol46, skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (286) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol50, skol53 ) }.
% 2.54/2.90 parent0: (33653) {G0,W3,D2,L1,V0,M1} { ! memberP( skol50, skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 resolution: (36338) {G1,W5,D2,L2,V0,M2} { ! ssItem( skol53 ), memberP(
% 2.54/2.90 skol50, skol53 ) }.
% 2.54/2.90 parent0[1]: (282) {G1,W8,D2,L3,V1,M3} I;d(280);d(279) { ! ssItem( X ), !
% 2.54/2.90 memberP( skol46, X ), memberP( skol50, X ) }.
% 2.54/2.90 parent1[0]: (285) {G0,W3,D2,L1,V0,M1} I { memberP( skol46, skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 X := skol53
% 2.54/2.90 end
% 2.54/2.90 substitution1:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 resolution: (36339) {G1,W3,D2,L1,V0,M1} { memberP( skol50, skol53 ) }.
% 2.54/2.90 parent0[0]: (36338) {G1,W5,D2,L2,V0,M2} { ! ssItem( skol53 ), memberP(
% 2.54/2.90 skol50, skol53 ) }.
% 2.54/2.90 parent1[0]: (284) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 substitution1:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (33328) {G2,W3,D2,L1,V0,M1} R(282,285);r(284) { memberP(
% 2.54/2.90 skol50, skol53 ) }.
% 2.54/2.90 parent0: (36339) {G1,W3,D2,L1,V0,M1} { memberP( skol50, skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 0 ==> 0
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 resolution: (36340) {G1,W0,D0,L0,V0,M0} { }.
% 2.54/2.90 parent0[0]: (286) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol50, skol53 ) }.
% 2.54/2.90 parent1[0]: (33328) {G2,W3,D2,L1,V0,M1} R(282,285);r(284) { memberP( skol50
% 2.54/2.90 , skol53 ) }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 substitution1:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 subsumption: (33364) {G3,W0,D0,L0,V0,M0} S(33328);r(286) { }.
% 2.54/2.90 parent0: (36340) {G1,W0,D0,L0,V0,M0} { }.
% 2.54/2.90 substitution0:
% 2.54/2.90 end
% 2.54/2.90 permutation0:
% 2.54/2.90 end
% 2.54/2.90
% 2.54/2.90 Proof check complete!
% 2.54/2.90
% 2.54/2.90 Memory use:
% 2.54/2.90
% 2.54/2.90 space for terms: 622667
% 2.54/2.90 space for clauses: 1499944
% 2.54/2.90
% 2.54/2.90
% 2.54/2.90 clauses generated: 106334
% 2.54/2.90 clauses kept: 33365
% 2.54/2.90 clauses selected: 1135
% 2.54/2.90 clauses deleted: 2545
% 2.54/2.90 clauses inuse deleted: 52
% 2.54/2.90
% 2.54/2.90 subsentry: 167559
% 2.54/2.90 literals s-matched: 107905
% 2.54/2.90 literals matched: 91972
% 2.54/2.90 full subsumption: 51510
% 2.54/2.90
% 2.54/2.90 checksum: 1787743370
% 2.54/2.90
% 2.54/2.90
% 2.54/2.90 Bliksem ended
%------------------------------------------------------------------------------