TSTP Solution File: SWC387+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC387+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 19:36:28 EDT 2022
% Result : Theorem 2.35s 2.71s
% Output : Refutation 2.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC387+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 12 11:01:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.83/1.18 *** allocated 10000 integers for termspace/termends
% 0.83/1.18 *** allocated 10000 integers for clauses
% 0.83/1.18 *** allocated 10000 integers for justifications
% 0.83/1.18 Bliksem 1.12
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Automatic Strategy Selection
% 0.83/1.18
% 0.83/1.18 *** allocated 15000 integers for termspace/termends
% 0.83/1.18
% 0.83/1.18 Clauses:
% 0.83/1.18
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.83/1.18 { ssItem( skol1 ) }.
% 0.83/1.18 { ssItem( skol47 ) }.
% 0.83/1.18 { ! skol1 = skol47 }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.83/1.18 }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.83/1.18 Y ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.83/1.18 ( X, Y ) }.
% 0.83/1.18 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.83/1.18 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.83/1.18 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.83/1.18 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.83/1.18 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.83/1.18 ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.83/1.18 ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.83/1.18 ( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.83/1.18 }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.83/1.18 = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.83/1.18 ( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.83/1.18 }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.83/1.18 , Y ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.83/1.18 segmentP( X, Y ) }.
% 0.83/1.18 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.83/1.18 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.83/1.18 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.83/1.18 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.83/1.18 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.83/1.18 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.83/1.18 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.83/1.18 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.83/1.18 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, alpha12( Y, Z ) }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.83/1.18 { leq( X, Y ), alpha12( X, Y ) }.
% 0.83/1.18 { leq( Y, X ), alpha12( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.83/1.18 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.83/1.18 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.83/1.18 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.83/1.18 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.83/1.18 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, alpha13( Y, Z ) }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.83/1.18 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.83/1.18 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.83/1.18 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.83/1.18 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.83/1.18 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.83/1.18 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.83/1.18 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, alpha14( Y, Z ) }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.83/1.18 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.83/1.18 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.83/1.18 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.83/1.18 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.83/1.18 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.83/1.18 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.83/1.18 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, leq( Y, Z ) }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.83/1.18 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.83/1.18 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.83/1.18 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.83/1.18 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.83/1.18 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, lt( Y, Z ) }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.83/1.18 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.83/1.18 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.83/1.18 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.83/1.18 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.83/1.18 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.83/1.18 .
% 0.83/1.18 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.83/1.18 , U ) }.
% 0.83/1.18 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.83/1.18 ) ) = X, ! Y = Z }.
% 0.83/1.18 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.83/1.18 W ) }.
% 0.83/1.18 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.83/1.18 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.83/1.18 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.83/1.18 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.83/1.18 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.83/1.18 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.83/1.18 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.83/1.18 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.83/1.18 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.83/1.18 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.83/1.18 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.83/1.18 Z }.
% 0.83/1.18 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.83/1.18 { ssList( nil ) }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.83/1.18 ) = cons( T, Y ), Z = T }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.83/1.18 ) = cons( T, Y ), Y = X }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.83/1.18 ( cons( Z, Y ), X ) }.
% 0.83/1.18 { ! ssList( X ), app( nil, X ) = X }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.83/1.18 , leq( X, Z ) }.
% 0.83/1.18 { ! ssItem( X ), leq( X, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.83/1.18 lt( X, Z ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.83/1.18 , memberP( Y, X ), memberP( Z, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.83/1.18 app( Y, Z ), X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.83/1.18 app( Y, Z ), X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.83/1.18 , X = Y, memberP( Z, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.83/1.18 ), X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.83/1.18 cons( Y, Z ), X ) }.
% 0.83/1.18 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.83/1.18 { ! singletonP( nil ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.83/1.18 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.83/1.18 = Y }.
% 0.83/1.18 { ! ssList( X ), frontsegP( X, X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.83/1.18 frontsegP( app( X, Z ), Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.83/1.18 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.83/1.18 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.83/1.18 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.83/1.18 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.83/1.18 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.83/1.18 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.83/1.18 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.83/1.18 Y }.
% 0.83/1.18 { ! ssList( X ), rearsegP( X, X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.83/1.18 ( app( Z, X ), Y ) }.
% 0.83/1.18 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.83/1.18 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.83/1.18 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.83/1.18 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.83/1.18 Y }.
% 0.83/1.18 { ! ssList( X ), segmentP( X, X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.83/1.18 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.83/1.18 { ! ssList( X ), segmentP( X, nil ) }.
% 0.83/1.18 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.83/1.18 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.83/1.18 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.83/1.18 { cyclefreeP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.83/1.18 { totalorderP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.83/1.18 { strictorderP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.83/1.18 { totalorderedP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.83/1.18 alpha10( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.83/1.18 .
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.83/1.18 Y ) ) }.
% 0.83/1.18 { ! alpha10( X, Y ), ! nil = Y }.
% 0.83/1.18 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.83/1.18 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.83/1.18 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.83/1.18 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.83/1.18 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.83/1.18 { strictorderedP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.83/1.18 alpha11( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.83/1.18 .
% 0.83/1.18 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.83/1.18 , Y ) ) }.
% 0.83/1.18 { ! alpha11( X, Y ), ! nil = Y }.
% 0.83/1.18 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.83/1.18 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.83/1.18 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.83/1.18 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.83/1.18 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.83/1.18 { duplicatefreeP( nil ) }.
% 0.83/1.18 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.83/1.18 { equalelemsP( nil ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.83/1.18 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.83/1.18 ( Y ) = tl( X ), Y = X }.
% 0.83/1.18 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.83/1.18 , Z = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.83/1.18 , Z = X }.
% 0.83/1.18 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.83/1.18 ( X, app( Y, Z ) ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.83/1.18 { ! ssList( X ), app( X, nil ) = X }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.83/1.18 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.83/1.18 Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.83/1.18 , geq( X, Z ) }.
% 0.83/1.18 { ! ssItem( X ), geq( X, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! lt( X, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.83/1.18 , lt( X, Z ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.83/1.18 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.83/1.18 gt( X, Z ) }.
% 0.83/1.18 { ssList( skol46 ) }.
% 0.83/1.18 { ssList( skol49 ) }.
% 0.83/1.18 { ssList( skol50 ) }.
% 0.83/1.18 { ssList( skol51 ) }.
% 0.83/1.18 { skol49 = skol51 }.
% 0.83/1.18 { skol46 = skol50 }.
% 0.83/1.18 { ! ssItem( X ), ! cons( X, nil ) = skol46, ! memberP( skol49, X ) }.
% 0.83/1.18 { nil = skol50, ! nil = skol51 }.
% 0.83/1.18 { ! nil = skol49, ! nil = skol46 }.
% 0.83/1.18 { ssItem( skol52 ), ! neq( skol51, nil ) }.
% 0.83/1.18 { cons( skol52, nil ) = skol50, ! neq( skol51, nil ) }.
% 0.83/1.18 { memberP( skol51, skol52 ), ! neq( skol51, nil ) }.
% 0.83/1.18
% 0.83/1.18 *** allocated 15000 integers for clauses
% 0.83/1.18 percentage equality = 0.133255, percentage horn = 0.763066
% 0.83/1.18 This is a problem with some equality
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Options Used:
% 0.83/1.18
% 0.83/1.18 useres = 1
% 0.83/1.18 useparamod = 1
% 0.83/1.18 useeqrefl = 1
% 0.83/1.18 useeqfact = 1
% 0.83/1.18 usefactor = 1
% 0.83/1.18 usesimpsplitting = 0
% 0.83/1.18 usesimpdemod = 5
% 0.83/1.18 usesimpres = 3
% 0.83/1.18
% 0.83/1.18 resimpinuse = 1000
% 0.83/1.18 resimpclauses = 20000
% 0.83/1.18 substype = eqrewr
% 0.83/1.18 backwardsubs = 1
% 0.83/1.18 selectoldest = 5
% 0.83/1.18
% 0.83/1.18 litorderings [0] = split
% 0.83/1.18 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.18
% 0.83/1.18 termordering = kbo
% 0.83/1.18
% 0.83/1.18 litapriori = 0
% 0.83/1.18 termapriori = 1
% 0.83/1.18 litaposteriori = 0
% 0.83/1.18 termaposteriori = 0
% 0.83/1.18 demodaposteriori = 0
% 0.83/1.18 ordereqreflfact = 0
% 0.83/1.18
% 0.83/1.18 litselect = negord
% 0.83/1.18
% 0.83/1.18 maxweight = 15
% 0.83/1.18 maxdepth = 30000
% 0.83/1.18 maxlength = 115
% 0.83/1.18 maxnrvars = 195
% 0.83/1.18 excuselevel = 1
% 0.83/1.18 increasemaxweight = 1
% 0.83/1.18
% 0.83/1.18 maxselected = 10000000
% 0.83/1.18 maxnrclauses = 10000000
% 0.83/1.18
% 0.83/1.18 showgenerated = 0
% 0.83/1.18 showkept = 0
% 0.83/1.18 showselected = 0
% 0.83/1.18 showdeleted = 0
% 0.83/1.18 showresimp = 1
% 0.83/1.18 showstatus = 2000
% 0.83/1.18
% 0.83/1.18 prologoutput = 0
% 0.83/1.18 nrgoals = 5000000
% 0.83/1.18 totalproof = 1
% 0.83/1.18
% 0.83/1.18 Symbols occurring in the translation:
% 0.83/1.18
% 0.83/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.18 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.83/1.18 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.83/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.18 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.83/1.18 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.83/1.18 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.83/1.18 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.83/1.18 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.83/1.18 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.83/1.18 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.83/1.18 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.83/1.18 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.72/2.08 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.72/2.08 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.72/2.08 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.72/2.08 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.72/2.08 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.72/2.08 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.72/2.08 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.72/2.08 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.72/2.08 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.72/2.08 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.72/2.08 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.72/2.08 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.72/2.08 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.72/2.08 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.72/2.08 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.72/2.08 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.72/2.08 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.72/2.08 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.72/2.08 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.72/2.08 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.72/2.08 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.72/2.08 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.72/2.08 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.72/2.08 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.72/2.08 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.72/2.08 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.72/2.08 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.72/2.08 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.72/2.08 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.72/2.08 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.72/2.08 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.72/2.08 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.72/2.08 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.72/2.08 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.72/2.08 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.72/2.08 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.72/2.08 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.72/2.08 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.72/2.08 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.72/2.08 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.72/2.08 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.72/2.08 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.72/2.08 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.72/2.08 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.72/2.08 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.72/2.08 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.72/2.08 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.72/2.08 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.72/2.08 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.72/2.08 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.72/2.08 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.72/2.08 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.72/2.08 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.72/2.08 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.72/2.08 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.72/2.08 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.72/2.08 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.72/2.08 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.72/2.08 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.72/2.08 skol2 [109, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.72/2.08 skol3 [110, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.72/2.08 skol4 [111, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.72/2.08 skol5 [112, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.72/2.08 skol6 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.72/2.08 skol7 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.72/2.08 skol8 [115, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.72/2.08 skol9 [116, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.72/2.08 skol10 [117, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.72/2.08 skol11 [118, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.72/2.08 skol12 [119, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.72/2.08 skol13 [120, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.72/2.08 skol14 [121, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.72/2.08 skol15 [122, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.72/2.08 skol16 [123, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.72/2.08 skol17 [124, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.72/2.08 skol18 [125, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.72/2.08 skol19 [126, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.72/2.08 skol20 [127, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.72/2.08 skol21 [128, 3] (w:1, o:118, a:1, s:1, b:1),
% 2.35/2.71 skol22 [129, 4] (w:1, o:136, a:1, s:1, b:1),
% 2.35/2.71 skol23 [130, 5] (w:1, o:150, a:1, s:1, b:1),
% 2.35/2.71 skol24 [131, 1] (w:1, o:37, a:1, s:1, b:1),
% 2.35/2.71 skol25 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 2.35/2.71 skol26 [133, 3] (w:1, o:119, a:1, s:1, b:1),
% 2.35/2.71 skol27 [134, 4] (w:1, o:137, a:1, s:1, b:1),
% 2.35/2.71 skol28 [135, 5] (w:1, o:151, a:1, s:1, b:1),
% 2.35/2.71 skol29 [136, 1] (w:1, o:38, a:1, s:1, b:1),
% 2.35/2.71 skol30 [137, 2] (w:1, o:107, a:1, s:1, b:1),
% 2.35/2.71 skol31 [138, 3] (w:1, o:124, a:1, s:1, b:1),
% 2.35/2.71 skol32 [139, 4] (w:1, o:138, a:1, s:1, b:1),
% 2.35/2.71 skol33 [140, 5] (w:1, o:152, a:1, s:1, b:1),
% 2.35/2.71 skol34 [141, 1] (w:1, o:31, a:1, s:1, b:1),
% 2.35/2.71 skol35 [142, 2] (w:1, o:108, a:1, s:1, b:1),
% 2.35/2.71 skol36 [143, 3] (w:1, o:125, a:1, s:1, b:1),
% 2.35/2.71 skol37 [144, 4] (w:1, o:139, a:1, s:1, b:1),
% 2.35/2.71 skol38 [145, 5] (w:1, o:153, a:1, s:1, b:1),
% 2.35/2.71 skol39 [146, 1] (w:1, o:32, a:1, s:1, b:1),
% 2.35/2.71 skol40 [147, 2] (w:1, o:101, a:1, s:1, b:1),
% 2.35/2.71 skol41 [148, 3] (w:1, o:126, a:1, s:1, b:1),
% 2.35/2.71 skol42 [149, 4] (w:1, o:140, a:1, s:1, b:1),
% 2.35/2.71 skol43 [150, 1] (w:1, o:39, a:1, s:1, b:1),
% 2.35/2.71 skol44 [151, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.35/2.71 skol45 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.35/2.71 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 2.35/2.71 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 2.35/2.71 skol48 [155, 1] (w:1, o:42, a:1, s:1, b:1),
% 2.35/2.71 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 2.35/2.71 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 2.35/2.71 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 2.35/2.71 skol52 [159, 0] (w:1, o:19, a:1, s:1, b:1).
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Starting Search:
% 2.35/2.71
% 2.35/2.71 *** allocated 22500 integers for clauses
% 2.35/2.71 *** allocated 33750 integers for clauses
% 2.35/2.71 *** allocated 50625 integers for clauses
% 2.35/2.71 *** allocated 22500 integers for termspace/termends
% 2.35/2.71 *** allocated 75937 integers for clauses
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 33750 integers for termspace/termends
% 2.35/2.71 *** allocated 113905 integers for clauses
% 2.35/2.71 *** allocated 50625 integers for termspace/termends
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 3770
% 2.35/2.71 Kept: 2003
% 2.35/2.71 Inuse: 218
% 2.35/2.71 Deleted: 6
% 2.35/2.71 Deletedinuse: 0
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 170857 integers for clauses
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 75937 integers for termspace/termends
% 2.35/2.71 *** allocated 256285 integers for clauses
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 7004
% 2.35/2.71 Kept: 4015
% 2.35/2.71 Inuse: 365
% 2.35/2.71 Deleted: 10
% 2.35/2.71 Deletedinuse: 4
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 113905 integers for termspace/termends
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 384427 integers for clauses
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 10639
% 2.35/2.71 Kept: 6112
% 2.35/2.71 Inuse: 505
% 2.35/2.71 Deleted: 20
% 2.35/2.71 Deletedinuse: 14
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 170857 integers for termspace/termends
% 2.35/2.71 *** allocated 576640 integers for clauses
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 13841
% 2.35/2.71 Kept: 8125
% 2.35/2.71 Inuse: 610
% 2.35/2.71 Deleted: 30
% 2.35/2.71 Deletedinuse: 24
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 17488
% 2.35/2.71 Kept: 10410
% 2.35/2.71 Inuse: 675
% 2.35/2.71 Deleted: 30
% 2.35/2.71 Deletedinuse: 24
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 256285 integers for termspace/termends
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 864960 integers for clauses
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 22150
% 2.35/2.71 Kept: 12431
% 2.35/2.71 Inuse: 745
% 2.35/2.71 Deleted: 30
% 2.35/2.71 Deletedinuse: 24
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 30709
% 2.35/2.71 Kept: 14801
% 2.35/2.71 Inuse: 785
% 2.35/2.71 Deleted: 91
% 2.35/2.71 Deletedinuse: 85
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 384427 integers for termspace/termends
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 36310
% 2.35/2.71 Kept: 16810
% 2.35/2.71 Inuse: 840
% 2.35/2.71 Deleted: 186
% 2.35/2.71 Deletedinuse: 178
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 1297440 integers for clauses
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 43900
% 2.35/2.71 Kept: 19057
% 2.35/2.71 Inuse: 913
% 2.35/2.71 Deleted: 190
% 2.35/2.71 Deletedinuse: 182
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying clauses:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 52625
% 2.35/2.71 Kept: 21252
% 2.35/2.71 Inuse: 953
% 2.35/2.71 Deleted: 4493
% 2.35/2.71 Deletedinuse: 182
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 *** allocated 576640 integers for termspace/termends
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 60485
% 2.35/2.71 Kept: 23370
% 2.35/2.71 Inuse: 993
% 2.35/2.71 Deleted: 4506
% 2.35/2.71 Deletedinuse: 190
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 66025
% 2.35/2.71 Kept: 25384
% 2.35/2.71 Inuse: 1054
% 2.35/2.71 Deleted: 4506
% 2.35/2.71 Deletedinuse: 190
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 76014
% 2.35/2.71 Kept: 27493
% 2.35/2.71 Inuse: 1083
% 2.35/2.71 Deleted: 4508
% 2.35/2.71 Deletedinuse: 192
% 2.35/2.71
% 2.35/2.71 *** allocated 1946160 integers for clauses
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Intermediate Status:
% 2.35/2.71 Generated: 84450
% 2.35/2.71 Kept: 29597
% 2.35/2.71 Inuse: 1123
% 2.35/2.71 Deleted: 4509
% 2.35/2.71 Deletedinuse: 193
% 2.35/2.71
% 2.35/2.71 *** allocated 864960 integers for termspace/termends
% 2.35/2.71 Resimplifying inuse:
% 2.35/2.71 Done
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Bliksems!, er is een bewijs:
% 2.35/2.71 % SZS status Theorem
% 2.35/2.71 % SZS output start Refutation
% 2.35/2.71
% 2.35/2.71 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.35/2.71 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.35/2.71 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.35/2.71 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.35/2.71 (281) {G0,W10,D3,L3,V1,M3} I { ! ssItem( X ), ! cons( X, nil ) ==> skol46,
% 2.35/2.71 ! memberP( skol49, X ) }.
% 2.35/2.71 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, ! skol49 ==>
% 2.35/2.71 nil }.
% 2.35/2.71 (283) {G2,W3,D2,L1,V0,M1} I;d(282);q { ! skol49 ==> nil }.
% 2.35/2.71 (284) {G1,W5,D2,L2,V0,M2} I;d(279) { ssItem( skol52 ), ! neq( skol49, nil )
% 2.35/2.71 }.
% 2.35/2.71 (285) {G1,W8,D3,L2,V0,M2} I;d(280);d(279) { cons( skol52, nil ) ==> skol46
% 2.35/2.71 , ! neq( skol49, nil ) }.
% 2.35/2.71 (286) {G1,W6,D2,L2,V0,M2} I;d(279);d(279) { memberP( skol49, skol52 ), !
% 2.35/2.71 neq( skol49, nil ) }.
% 2.35/2.71 (13369) {G3,W8,D2,L3,V1,M3} P(159,283);r(276) { ! X = nil, ! ssList( X ),
% 2.35/2.71 neq( skol49, X ) }.
% 2.35/2.71 (13402) {G4,W3,D2,L1,V0,M1} Q(13369);r(161) { neq( skol49, nil ) }.
% 2.35/2.71 (13489) {G5,W3,D2,L1,V0,M1} S(286);r(13402) { memberP( skol49, skol52 ) }.
% 2.35/2.71 (13501) {G5,W2,D2,L1,V0,M1} S(284);r(13402) { ssItem( skol52 ) }.
% 2.35/2.71 (20333) {G5,W5,D3,L1,V0,M1} S(285);r(13402) { cons( skol52, nil ) ==>
% 2.35/2.71 skol46 }.
% 2.35/2.71 (30680) {G6,W0,D0,L0,V0,M0} R(281,13489);d(20333);q;r(13501) { }.
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 % SZS output end Refutation
% 2.35/2.71 found a proof!
% 2.35/2.71
% 2.35/2.71
% 2.35/2.71 Unprocessed initial clauses:
% 2.35/2.71
% 2.35/2.71 (30682) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.35/2.71 , ! X = Y }.
% 2.35/2.71 (30683) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30684) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.35/2.71 (30685) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.35/2.71 (30686) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.35/2.71 (30687) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.35/2.71 , Y ), ssList( skol2( Z, T ) ) }.
% 2.35/2.71 (30688) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.35/2.71 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.35/2.71 (30689) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.35/2.71 (30690) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.35/2.71 ) ) }.
% 2.35/2.71 (30691) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.35/2.71 ( X, Y, Z ) ) ) = X }.
% 2.35/2.71 (30692) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.35/2.71 , alpha1( X, Y, Z ) }.
% 2.35/2.71 (30693) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.35/2.71 skol4( Y ) ) }.
% 2.35/2.71 (30694) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.35/2.71 skol4( X ), nil ) = X }.
% 2.35/2.71 (30695) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.35/2.71 nil ) = X, singletonP( X ) }.
% 2.35/2.71 (30696) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.35/2.71 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.35/2.71 (30697) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.35/2.71 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.35/2.71 (30698) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.35/2.71 (30699) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.35/2.71 , Y ), ssList( skol6( Z, T ) ) }.
% 2.35/2.71 (30700) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.35/2.71 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.35/2.71 (30701) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.35/2.71 (30702) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.35/2.71 , Y ), ssList( skol7( Z, T ) ) }.
% 2.35/2.71 (30703) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.35/2.71 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.35/2.71 (30704) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.35/2.71 (30705) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.35/2.71 ) ) }.
% 2.35/2.71 (30706) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.35/2.71 skol8( X, Y, Z ) ) = X }.
% 2.35/2.71 (30707) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.35/2.71 , alpha2( X, Y, Z ) }.
% 2.35/2.71 (30708) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.35/2.71 Y ), alpha3( X, Y ) }.
% 2.35/2.71 (30709) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.35/2.71 cyclefreeP( X ) }.
% 2.35/2.71 (30710) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.35/2.71 cyclefreeP( X ) }.
% 2.35/2.71 (30711) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30712) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.35/2.71 (30713) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30714) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha28( X, Y, Z, T ) }.
% 2.35/2.71 (30715) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30716) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.35/2.71 alpha21( X, Y, Z ) }.
% 2.35/2.71 (30717) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha35( X, Y, Z, T, U ) }.
% 2.35/2.71 (30718) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30719) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.35/2.71 ), alpha28( X, Y, Z, T ) }.
% 2.35/2.71 (30720) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha41( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30721) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha35( X, Y, Z, T, U ) }.
% 2.35/2.71 (30722) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.35/2.71 (30723) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.35/2.71 (30724) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30725) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.35/2.71 W ) }.
% 2.35/2.71 (30726) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.35/2.71 X ) }.
% 2.35/2.71 (30727) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.35/2.71 (30728) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.35/2.71 (30729) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.35/2.71 ( Y ), alpha4( X, Y ) }.
% 2.35/2.71 (30730) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.35/2.71 totalorderP( X ) }.
% 2.35/2.71 (30731) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.35/2.71 totalorderP( X ) }.
% 2.35/2.71 (30732) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30733) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.35/2.71 (30734) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30735) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha29( X, Y, Z, T ) }.
% 2.35/2.71 (30736) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30737) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.35/2.71 alpha22( X, Y, Z ) }.
% 2.35/2.71 (30738) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha36( X, Y, Z, T, U ) }.
% 2.35/2.71 (30739) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30740) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.35/2.71 ), alpha29( X, Y, Z, T ) }.
% 2.35/2.71 (30741) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha42( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30742) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha36( X, Y, Z, T, U ) }.
% 2.35/2.71 (30743) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.35/2.71 (30744) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.35/2.71 (30745) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30746) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.35/2.71 W ) }.
% 2.35/2.71 (30747) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.35/2.71 }.
% 2.35/2.71 (30748) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.35/2.71 (30749) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.35/2.71 (30750) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.35/2.71 ( Y ), alpha5( X, Y ) }.
% 2.35/2.71 (30751) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.35/2.71 strictorderP( X ) }.
% 2.35/2.71 (30752) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.35/2.71 strictorderP( X ) }.
% 2.35/2.71 (30753) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30754) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.35/2.71 (30755) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30756) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha30( X, Y, Z, T ) }.
% 2.35/2.71 (30757) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30758) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.35/2.71 alpha23( X, Y, Z ) }.
% 2.35/2.71 (30759) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha37( X, Y, Z, T, U ) }.
% 2.35/2.71 (30760) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30761) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.35/2.71 ), alpha30( X, Y, Z, T ) }.
% 2.35/2.71 (30762) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha43( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30763) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha37( X, Y, Z, T, U ) }.
% 2.35/2.71 (30764) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.35/2.71 (30765) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.35/2.71 (30766) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30767) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.35/2.71 W ) }.
% 2.35/2.71 (30768) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.35/2.71 }.
% 2.35/2.71 (30769) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.35/2.71 (30770) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.35/2.71 (30771) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.35/2.71 ssItem( Y ), alpha6( X, Y ) }.
% 2.35/2.71 (30772) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.35/2.71 totalorderedP( X ) }.
% 2.35/2.71 (30773) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.35/2.71 totalorderedP( X ) }.
% 2.35/2.71 (30774) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30775) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.35/2.71 (30776) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30777) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha24( X, Y, Z, T ) }.
% 2.35/2.71 (30778) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30779) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.35/2.71 alpha15( X, Y, Z ) }.
% 2.35/2.71 (30780) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha31( X, Y, Z, T, U ) }.
% 2.35/2.71 (30781) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30782) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.35/2.71 ), alpha24( X, Y, Z, T ) }.
% 2.35/2.71 (30783) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha38( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30784) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha31( X, Y, Z, T, U ) }.
% 2.35/2.71 (30785) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.35/2.71 (30786) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.35/2.71 (30787) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30788) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.35/2.71 }.
% 2.35/2.71 (30789) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.35/2.71 ssItem( Y ), alpha7( X, Y ) }.
% 2.35/2.71 (30790) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.35/2.71 strictorderedP( X ) }.
% 2.35/2.71 (30791) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.35/2.71 strictorderedP( X ) }.
% 2.35/2.71 (30792) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30793) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.35/2.71 (30794) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30795) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha25( X, Y, Z, T ) }.
% 2.35/2.71 (30796) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30797) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.35/2.71 alpha16( X, Y, Z ) }.
% 2.35/2.71 (30798) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha32( X, Y, Z, T, U ) }.
% 2.35/2.71 (30799) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30800) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.35/2.71 ), alpha25( X, Y, Z, T ) }.
% 2.35/2.71 (30801) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha39( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30802) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha32( X, Y, Z, T, U ) }.
% 2.35/2.71 (30803) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.35/2.71 (30804) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.35/2.71 (30805) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30806) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.35/2.71 }.
% 2.35/2.71 (30807) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.35/2.71 ssItem( Y ), alpha8( X, Y ) }.
% 2.35/2.71 (30808) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.35/2.71 duplicatefreeP( X ) }.
% 2.35/2.71 (30809) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.35/2.71 duplicatefreeP( X ) }.
% 2.35/2.71 (30810) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30811) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.35/2.71 (30812) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30813) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha26( X, Y, Z, T ) }.
% 2.35/2.71 (30814) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30815) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.35/2.71 alpha17( X, Y, Z ) }.
% 2.35/2.71 (30816) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha33( X, Y, Z, T, U ) }.
% 2.35/2.71 (30817) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30818) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.35/2.71 ), alpha26( X, Y, Z, T ) }.
% 2.35/2.71 (30819) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.35/2.71 alpha40( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30820) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.35/2.71 alpha33( X, Y, Z, T, U ) }.
% 2.35/2.71 (30821) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.35/2.71 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.35/2.71 (30822) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.35/2.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.35/2.71 (30823) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.35/2.71 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30824) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.35/2.71 (30825) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.35/2.71 ( Y ), alpha9( X, Y ) }.
% 2.35/2.71 (30826) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.35/2.71 equalelemsP( X ) }.
% 2.35/2.71 (30827) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.35/2.71 equalelemsP( X ) }.
% 2.35/2.71 (30828) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.35/2.71 , Y, Z ) }.
% 2.35/2.71 (30829) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.35/2.71 (30830) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30831) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.35/2.71 alpha27( X, Y, Z, T ) }.
% 2.35/2.71 (30832) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.35/2.71 Z ) }.
% 2.35/2.71 (30833) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.35/2.71 alpha18( X, Y, Z ) }.
% 2.35/2.71 (30834) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.35/2.71 alpha34( X, Y, Z, T, U ) }.
% 2.35/2.71 (30835) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.35/2.71 X, Y, Z, T ) }.
% 2.35/2.71 (30836) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.35/2.71 ), alpha27( X, Y, Z, T ) }.
% 2.35/2.71 (30837) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.35/2.71 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.35/2.71 (30838) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.35/2.71 alpha34( X, Y, Z, T, U ) }.
% 2.35/2.71 (30839) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.35/2.71 (30840) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.35/2.71 , ! X = Y }.
% 2.35/2.71 (30841) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.35/2.71 , Y ) }.
% 2.35/2.71 (30842) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.35/2.71 Y, X ) ) }.
% 2.35/2.71 (30843) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.35/2.71 (30844) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.35/2.71 = X }.
% 2.35/2.71 (30845) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.35/2.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.35/2.71 (30846) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.35/2.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.35/2.71 (30847) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.35/2.71 ) }.
% 2.35/2.71 (30848) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.35/2.71 ) }.
% 2.35/2.71 (30849) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.35/2.71 skol43( X ) ) = X }.
% 2.35/2.71 (30850) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.35/2.71 Y, X ) }.
% 2.35/2.71 (30851) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.35/2.71 }.
% 2.35/2.71 (30852) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.35/2.71 X ) ) = Y }.
% 2.35/2.71 (30853) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.35/2.71 }.
% 2.35/2.71 (30854) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.35/2.71 X ) ) = X }.
% 2.35/2.71 (30855) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.35/2.71 , Y ) ) }.
% 2.35/2.71 (30856) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.35/2.71 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.35/2.71 (30857) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.35/2.71 (30858) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.35/2.71 , ! leq( Y, X ), X = Y }.
% 2.35/2.71 (30859) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.35/2.71 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.35/2.71 (30860) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.35/2.71 (30861) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.35/2.71 , leq( Y, X ) }.
% 2.35/2.71 (30862) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.35/2.71 , geq( X, Y ) }.
% 2.35/2.71 (30863) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.35/2.71 , ! lt( Y, X ) }.
% 2.35/2.71 (30864) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.35/2.71 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.35/2.71 (30865) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.35/2.71 , lt( Y, X ) }.
% 2.35/2.71 (30866) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.35/2.71 , gt( X, Y ) }.
% 2.35/2.71 (30867) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.35/2.71 (30868) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.35/2.71 (30869) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.35/2.71 (30870) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.35/2.71 (30871) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.35/2.71 (30872) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.35/2.71 (30873) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.35/2.71 (30874) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.35/2.71 (30875) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.35/2.71 (30876) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.35/2.71 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.35/2.71 (30877) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.35/2.71 (30878) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.35/2.71 (30879) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.35/2.71 (30880) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.35/2.71 , T ) }.
% 2.35/2.71 (30881) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.35/2.71 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.35/2.71 cons( Y, T ) ) }.
% 2.35/2.71 (30882) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.35/2.71 (30883) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.35/2.71 X }.
% 2.35/2.71 (30884) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.35/2.71 ) }.
% 2.35/2.71 (30885) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.35/2.71 (30886) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.35/2.71 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.35/2.71 (30887) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.35/2.71 (30888) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.35/2.71 (30889) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.35/2.71 (30890) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.35/2.71 }.
% 2.35/2.71 (30891) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.35/2.71 }.
% 2.35/2.71 (30892) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.35/2.71 (30893) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.35/2.71 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.35/2.71 (30894) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.35/2.71 (30895) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.35/2.71 }.
% 2.35/2.71 (30896) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.35/2.71 (30897) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.35/2.71 }.
% 2.35/2.71 (30898) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.35/2.71 }.
% 2.35/2.71 (30899) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.35/2.71 }.
% 2.35/2.71 (30900) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.35/2.71 (30901) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.35/2.71 }.
% 2.35/2.71 (30902) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.35/2.71 (30903) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.35/2.71 ) }.
% 2.35/2.71 (30904) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.35/2.71 (30905) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.35/2.71 ) }.
% 2.35/2.71 (30906) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.35/2.71 (30907) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.35/2.71 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.35/2.71 (30908) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.35/2.71 totalorderedP( cons( X, Y ) ) }.
% 2.35/2.71 (30909) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.35/2.71 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.35/2.71 (30910) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.35/2.71 (30911) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.35/2.71 (30912) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.35/2.71 }.
% 2.35/2.71 (30913) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.35/2.71 (30914) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.35/2.71 (30915) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.35/2.71 alpha19( X, Y ) }.
% 2.35/2.71 (30916) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.35/2.71 ) ) }.
% 2.35/2.71 (30917) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.35/2.71 (30918) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.35/2.71 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.35/2.71 (30919) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.35/2.71 strictorderedP( cons( X, Y ) ) }.
% 2.35/2.71 (30920) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.35/2.71 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.35/2.71 (30921) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.35/2.71 (30922) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.35/2.71 (30923) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.35/2.71 }.
% 2.35/2.71 (30924) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.35/2.71 (30925) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.35/2.71 (30926) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.35/2.71 alpha20( X, Y ) }.
% 2.35/2.71 (30927) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.35/2.71 ) ) }.
% 2.35/2.71 (30928) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.35/2.71 (30929) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.35/2.71 }.
% 2.35/2.71 (30930) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.35/2.71 (30931) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.35/2.71 ) }.
% 2.35/2.71 (30932) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.35/2.71 ) }.
% 2.35/2.71 (30933) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.35/2.71 ) }.
% 2.35/2.71 (30934) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.35/2.71 ) }.
% 2.35/2.71 (30935) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.35/2.71 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.35/2.71 (30936) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.35/2.71 X ) ) = X }.
% 2.35/2.71 (30937) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.35/2.71 (30938) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.35/2.71 (30939) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.35/2.71 = app( cons( Y, nil ), X ) }.
% 2.35/2.71 (30940) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.35/2.71 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.35/2.71 (30941) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.35/2.71 X, Y ), nil = Y }.
% 2.35/2.71 (30942) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.35/2.71 X, Y ), nil = X }.
% 2.35/2.71 (30943) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.35/2.71 nil = X, nil = app( X, Y ) }.
% 2.35/2.71 (30944) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.35/2.71 (30945) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.35/2.71 app( X, Y ) ) = hd( X ) }.
% 2.35/2.71 (30946) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.35/2.71 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.35/2.71 (30947) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.35/2.71 , ! geq( Y, X ), X = Y }.
% 2.35/2.71 (30948) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.35/2.71 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.35/2.71 (30949) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.35/2.71 (30950) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.35/2.71 (30951) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.35/2.71 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.35/2.71 (30952) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.35/2.71 , X = Y, lt( X, Y ) }.
% 2.35/2.71 (30953) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.35/2.71 , ! X = Y }.
% 2.35/2.71 (30954) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.35/2.72 , leq( X, Y ) }.
% 2.35/2.72 (30955) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.35/2.72 ( X, Y ), lt( X, Y ) }.
% 2.35/2.72 (30956) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.35/2.72 , ! gt( Y, X ) }.
% 2.35/2.72 (30957) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.35/2.72 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.35/2.72 (30958) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.35/2.72 (30959) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.35/2.72 (30960) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.35/2.72 (30961) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.35/2.72 (30962) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.35/2.72 (30963) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.35/2.72 (30964) {G0,W10,D3,L3,V1,M3} { ! ssItem( X ), ! cons( X, nil ) = skol46, !
% 2.35/2.72 memberP( skol49, X ) }.
% 2.35/2.72 (30965) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 2.35/2.72 (30966) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 2.35/2.72 (30967) {G0,W5,D2,L2,V0,M2} { ssItem( skol52 ), ! neq( skol51, nil ) }.
% 2.35/2.72 (30968) {G0,W8,D3,L2,V0,M2} { cons( skol52, nil ) = skol50, ! neq( skol51
% 2.35/2.72 , nil ) }.
% 2.35/2.72 (30969) {G0,W6,D2,L2,V0,M2} { memberP( skol51, skol52 ), ! neq( skol51,
% 2.35/2.72 nil ) }.
% 2.35/2.72
% 2.35/2.72
% 2.35/2.72 Total Proof:
% 2.35/2.72
% 2.35/2.72 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 2.35/2.72 = Y, neq( X, Y ) }.
% 2.35/2.72 parent0: (30841) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 2.35/2.72 Y, neq( X, Y ) }.
% 2.35/2.72 substitution0:
% 2.35/2.72 X := X
% 2.35/2.72 Y := Y
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 1 ==> 1
% 2.35/2.72 2 ==> 2
% 2.35/2.72 3 ==> 3
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 2.35/2.72 parent0: (30843) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.35/2.72 parent0: (30959) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 eqswap: (31804) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.35/2.72 parent0[0]: (30962) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.35/2.72 parent0: (31804) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 eqswap: (32152) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.35/2.72 parent0[0]: (30963) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.35/2.72 parent0: (32152) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (281) {G0,W10,D3,L3,V1,M3} I { ! ssItem( X ), ! cons( X, nil )
% 2.35/2.72 ==> skol46, ! memberP( skol49, X ) }.
% 2.35/2.72 parent0: (30964) {G0,W10,D3,L3,V1,M3} { ! ssItem( X ), ! cons( X, nil ) =
% 2.35/2.72 skol46, ! memberP( skol49, X ) }.
% 2.35/2.72 substitution0:
% 2.35/2.72 X := X
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 0
% 2.35/2.72 1 ==> 1
% 2.35/2.72 2 ==> 2
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 paramod: (33432) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51 }.
% 2.35/2.72 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.35/2.72 parent1[0; 2]: (30965) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51
% 2.35/2.72 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 substitution1:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 paramod: (33433) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.35/2.72 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.35/2.72 parent1[1; 3]: (33432) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51
% 2.35/2.72 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 substitution1:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 eqswap: (33435) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.35/2.72 parent0[1]: (33433) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 eqswap: (33436) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 2.35/2.72 parent0[1]: (33435) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 2.35/2.72 skol49 ==> nil }.
% 2.35/2.72 parent0: (33436) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72 permutation0:
% 2.35/2.72 0 ==> 1
% 2.35/2.72 1 ==> 0
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 eqswap: (34659) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 2.35/2.72 parent0[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 2.35/2.72 skol49 ==> nil }.
% 2.35/2.72 substitution0:
% 2.35/2.72 end
% 2.35/2.72
% 2.35/2.72 paramod: (34664) {G1,W9,D2,L3,V0,M3} { ! nil = nil, ! nil ==> skol49, !
% 2.35/2.72 nil = skol49 }.
% 2.35/2.72 parent0[1]: (3465Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------