TSTP Solution File: SWC339+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC339+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:36:01 EDT 2022
% Result : Theorem 2.67s 3.03s
% Output : Refutation 2.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC339+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.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 04:42:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.15 *** allocated 10000 integers for termspace/termends
% 0.72/1.15 *** allocated 10000 integers for clauses
% 0.72/1.15 *** allocated 10000 integers for justifications
% 0.72/1.15 Bliksem 1.12
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Automatic Strategy Selection
% 0.72/1.15
% 0.72/1.15 *** allocated 15000 integers for termspace/termends
% 0.72/1.15
% 0.72/1.15 Clauses:
% 0.72/1.15
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.15 { ssItem( skol1 ) }.
% 0.72/1.15 { ssItem( skol47 ) }.
% 0.72/1.15 { ! skol1 = skol47 }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.15 Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.15 ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.15 ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.15 = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.15 ( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.15 }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.15 , Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.15 segmentP( X, Y ) }.
% 0.72/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, leq( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, lt( Y, Z ) }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.15 .
% 0.72/1.15 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.15 , U ) }.
% 0.72/1.15 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.15 ) ) = X, ! Y = Z }.
% 0.72/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.15 W ) }.
% 0.72/1.15 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.15 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.15 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.15 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.15 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.15 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.15 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.15 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.15 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.15 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.15 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.15 Z }.
% 0.72/1.15 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.15 { ssList( nil ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.15 ) = cons( T, Y ), Z = T }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.15 ) = cons( T, Y ), Y = X }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.15 ( cons( Z, Y ), X ) }.
% 0.72/1.15 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.15 , leq( X, Z ) }.
% 0.72/1.15 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.15 lt( X, Z ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.15 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.15 app( Y, Z ), X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.15 app( Y, Z ), X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.15 , X = Y, memberP( Z, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.15 ), X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.15 cons( Y, Z ), X ) }.
% 0.72/1.15 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.15 { ! singletonP( nil ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.15 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.15 = Y }.
% 0.72/1.15 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.15 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.15 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.15 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.15 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.15 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.15 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.15 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.15 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.15 Y }.
% 0.72/1.15 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.15 ( app( Z, X ), Y ) }.
% 0.72/1.15 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.15 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.15 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.15 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.15 Y }.
% 0.72/1.15 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.15 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.15 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.15 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.15 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.15 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.15 { cyclefreeP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.15 { totalorderP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.15 { strictorderP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.15 { totalorderedP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.15 alpha10( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.15 .
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.15 Y ) ) }.
% 0.72/1.15 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.15 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.15 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.15 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.15 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.15 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.15 { strictorderedP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.15 alpha11( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.15 .
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.15 , Y ) ) }.
% 0.72/1.15 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.15 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.15 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.15 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.15 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.15 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.15 { duplicatefreeP( nil ) }.
% 0.72/1.15 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.15 { equalelemsP( nil ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.15 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.15 ( Y ) = tl( X ), Y = X }.
% 0.72/1.15 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.15 , Z = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.15 , Z = X }.
% 0.72/1.15 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.15 ( X, app( Y, Z ) ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.15 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.15 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.15 Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.15 , geq( X, Z ) }.
% 0.72/1.15 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.15 , lt( X, Z ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.15 gt( X, Z ) }.
% 0.72/1.15 { ssList( skol46 ) }.
% 0.72/1.15 { ssList( skol49 ) }.
% 0.72/1.15 { ssList( skol50 ) }.
% 0.72/1.15 { ssList( skol51 ) }.
% 0.72/1.15 { skol49 = skol51 }.
% 0.72/1.15 { skol46 = skol50 }.
% 0.72/1.15 { ssList( skol52 ) }.
% 0.72/1.15 { ssList( skol53 ) }.
% 0.72/1.15 { app( app( skol52, skol50 ), skol53 ) = skol51 }.
% 0.72/1.15 { totalorderedP( skol50 ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! app( Y, cons( X, nil ) ) = skol52, !
% 0.72/1.15 ssItem( Z ), ! ssList( T ), ! app( cons( Z, nil ), T ) = skol50, ! leq( X
% 0.72/1.15 , Z ) }.
% 0.72/1.15 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol53, !
% 0.72/1.15 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! leq( Z
% 0.72/1.15 , X ) }.
% 0.72/1.15 { nil = skol51, ! nil = skol50 }.
% 0.72/1.15 { ! segmentP( skol49, skol46 ), ! totalorderedP( skol46 ) }.
% 0.72/1.15
% 0.72/1.15 *** allocated 15000 integers for clauses
% 0.72/1.15 percentage equality = 0.133022, percentage horn = 0.764706
% 0.72/1.15 This is a problem with some equality
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Options Used:
% 0.72/1.15
% 0.72/1.15 useres = 1
% 0.72/1.15 useparamod = 1
% 0.72/1.15 useeqrefl = 1
% 0.72/1.15 useeqfact = 1
% 0.72/1.15 usefactor = 1
% 0.72/1.15 usesimpsplitting = 0
% 0.72/1.15 usesimpdemod = 5
% 0.72/1.15 usesimpres = 3
% 0.72/1.15
% 0.72/1.15 resimpinuse = 1000
% 0.72/1.15 resimpclauses = 20000
% 0.72/1.15 substype = eqrewr
% 0.72/1.15 backwardsubs = 1
% 0.72/1.15 selectoldest = 5
% 0.72/1.15
% 0.72/1.15 litorderings [0] = split
% 0.72/1.15 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.15
% 0.72/1.15 termordering = kbo
% 0.72/1.15
% 0.72/1.15 litapriori = 0
% 0.72/1.15 termapriori = 1
% 0.72/1.15 litaposteriori = 0
% 0.72/1.15 termaposteriori = 0
% 0.72/1.15 demodaposteriori = 0
% 0.72/1.15 ordereqreflfact = 0
% 0.72/1.15
% 0.72/1.15 litselect = negord
% 0.72/1.15
% 0.72/1.15 maxweight = 15
% 0.72/1.15 maxdepth = 30000
% 0.72/1.15 maxlength = 115
% 0.72/1.15 maxnrvars = 195
% 0.72/1.15 excuselevel = 1
% 0.72/1.15 increasemaxweight = 1
% 0.72/1.15
% 0.72/1.15 maxselected = 10000000
% 0.72/1.15 maxnrclauses = 10000000
% 0.72/1.15
% 0.72/1.15 showgenerated = 0
% 0.72/1.15 showkept = 0
% 0.72/1.15 showselected = 0
% 0.72/1.15 showdeleted = 0
% 0.72/1.15 showresimp = 1
% 0.72/1.15 showstatus = 2000
% 0.72/1.15
% 0.72/1.15 prologoutput = 0
% 0.72/1.15 nrgoals = 5000000
% 0.72/1.15 totalproof = 1
% 0.72/1.15
% 0.72/1.15 Symbols occurring in the translation:
% 0.72/1.15
% 0.72/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.15 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.15 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.72/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.15 ssItem [36, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.15 neq [38, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.15 ssList [39, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.15 memberP [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.29/1.66 cons [43, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.29/1.66 app [44, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.29/1.66 singletonP [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.29/1.66 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.29/1.66 frontsegP [47, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.29/1.66 rearsegP [48, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.29/1.66 segmentP [49, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.29/1.66 cyclefreeP [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.29/1.66 leq [53, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.29/1.66 totalorderP [54, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.29/1.66 strictorderP [55, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.29/1.66 lt [56, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.29/1.66 totalorderedP [57, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.29/1.66 strictorderedP [58, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.29/1.66 duplicatefreeP [59, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.29/1.66 equalelemsP [60, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.29/1.66 hd [61, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.29/1.66 tl [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.29/1.66 geq [63, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.29/1.66 gt [64, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.29/1.66 alpha1 [73, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.29/1.66 alpha2 [74, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.29/1.66 alpha3 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.29/1.66 alpha4 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.29/1.66 alpha5 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.29/1.66 alpha6 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.29/1.66 alpha7 [79, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.29/1.66 alpha8 [80, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.29/1.66 alpha9 [81, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.29/1.66 alpha10 [82, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.29/1.66 alpha11 [83, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.29/1.66 alpha12 [84, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.29/1.66 alpha13 [85, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.29/1.66 alpha14 [86, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.29/1.66 alpha15 [87, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.29/1.66 alpha16 [88, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.29/1.66 alpha17 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.29/1.66 alpha18 [90, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.29/1.66 alpha19 [91, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.29/1.66 alpha20 [92, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.29/1.66 alpha21 [93, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.29/1.66 alpha22 [94, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.29/1.66 alpha23 [95, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.29/1.66 alpha24 [96, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.29/1.66 alpha25 [97, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.29/1.66 alpha26 [98, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.29/1.66 alpha27 [99, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.29/1.66 alpha28 [100, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.29/1.66 alpha29 [101, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.29/1.66 alpha30 [102, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.29/1.66 alpha31 [103, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.29/1.66 alpha32 [104, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.29/1.66 alpha33 [105, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.29/1.66 alpha34 [106, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.29/1.66 alpha35 [107, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.29/1.66 alpha36 [108, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.29/1.66 alpha37 [109, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.29/1.66 alpha38 [110, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.29/1.66 alpha39 [111, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.29/1.66 alpha40 [112, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.29/1.66 alpha41 [113, 6] (w:1, o:166, a:1, s:1, b:1),
% 1.29/1.66 alpha42 [114, 6] (w:1, o:167, a:1, s:1, b:1),
% 1.29/1.66 alpha43 [115, 6] (w:1, o:168, a:1, s:1, b:1),
% 1.29/1.66 skol1 [116, 0] (w:1, o:21, a:1, s:1, b:1),
% 1.29/1.66 skol2 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.29/1.66 skol3 [118, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.29/1.66 skol4 [119, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.29/1.66 skol5 [120, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.29/1.66 skol6 [121, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.29/1.66 skol7 [122, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.29/1.66 skol8 [123, 3] (w:1, o:130, a:1, s:1, b:1),
% 1.29/1.66 skol9 [124, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.29/1.66 skol10 [125, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.29/1.66 skol11 [126, 3] (w:1, o:131, a:1, s:1, b:1),
% 1.29/1.66 skol12 [127, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.29/1.66 skol13 [128, 5] (w:1, o:157, a:1, s:1, b:1),
% 1.29/1.66 skol14 [129, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.29/1.66 skol15 [130, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.29/1.66 skol16 [131, 3] (w:1, o:132, a:1, s:1, b:1),
% 2.67/3.03 skol17 [132, 4] (w:1, o:144, a:1, s:1, b:1),
% 2.67/3.03 skol18 [133, 5] (w:1, o:158, a:1, s:1, b:1),
% 2.67/3.03 skol19 [134, 1] (w:1, o:45, a:1, s:1, b:1),
% 2.67/3.03 skol20 [135, 2] (w:1, o:114, a:1, s:1, b:1),
% 2.67/3.03 skol21 [136, 3] (w:1, o:127, a:1, s:1, b:1),
% 2.67/3.03 skol22 [137, 4] (w:1, o:145, a:1, s:1, b:1),
% 2.67/3.03 skol23 [138, 5] (w:1, o:159, a:1, s:1, b:1),
% 2.67/3.03 skol24 [139, 1] (w:1, o:46, a:1, s:1, b:1),
% 2.67/3.03 skol25 [140, 2] (w:1, o:115, a:1, s:1, b:1),
% 2.67/3.03 skol26 [141, 3] (w:1, o:128, a:1, s:1, b:1),
% 2.67/3.03 skol27 [142, 4] (w:1, o:146, a:1, s:1, b:1),
% 2.67/3.03 skol28 [143, 5] (w:1, o:160, a:1, s:1, b:1),
% 2.67/3.03 skol29 [144, 1] (w:1, o:47, a:1, s:1, b:1),
% 2.67/3.03 skol30 [145, 2] (w:1, o:116, a:1, s:1, b:1),
% 2.67/3.03 skol31 [146, 3] (w:1, o:133, a:1, s:1, b:1),
% 2.67/3.03 skol32 [147, 4] (w:1, o:147, a:1, s:1, b:1),
% 2.67/3.03 skol33 [148, 5] (w:1, o:161, a:1, s:1, b:1),
% 2.67/3.03 skol34 [149, 1] (w:1, o:40, a:1, s:1, b:1),
% 2.67/3.03 skol35 [150, 2] (w:1, o:117, a:1, s:1, b:1),
% 2.67/3.03 skol36 [151, 3] (w:1, o:134, a:1, s:1, b:1),
% 2.67/3.03 skol37 [152, 4] (w:1, o:148, a:1, s:1, b:1),
% 2.67/3.03 skol38 [153, 5] (w:1, o:162, a:1, s:1, b:1),
% 2.67/3.03 skol39 [154, 1] (w:1, o:41, a:1, s:1, b:1),
% 2.67/3.03 skol40 [155, 2] (w:1, o:110, a:1, s:1, b:1),
% 2.67/3.03 skol41 [156, 3] (w:1, o:135, a:1, s:1, b:1),
% 2.67/3.03 skol42 [157, 4] (w:1, o:149, a:1, s:1, b:1),
% 2.67/3.03 skol43 [158, 1] (w:1, o:48, a:1, s:1, b:1),
% 2.67/3.03 skol44 [159, 1] (w:1, o:49, a:1, s:1, b:1),
% 2.67/3.03 skol45 [160, 1] (w:1, o:50, a:1, s:1, b:1),
% 2.67/3.03 skol46 [161, 0] (w:1, o:22, a:1, s:1, b:1),
% 2.67/3.03 skol47 [162, 0] (w:1, o:23, a:1, s:1, b:1),
% 2.67/3.03 skol48 [163, 1] (w:1, o:51, a:1, s:1, b:1),
% 2.67/3.03 skol49 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 2.67/3.03 skol50 [165, 0] (w:1, o:25, a:1, s:1, b:1),
% 2.67/3.03 skol51 [166, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.67/3.03 skol52 [167, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.67/3.03 skol53 [168, 0] (w:1, o:28, a:1, s:1, b:1).
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Starting Search:
% 2.67/3.03
% 2.67/3.03 *** allocated 22500 integers for clauses
% 2.67/3.03 *** allocated 33750 integers for clauses
% 2.67/3.03 *** allocated 50625 integers for clauses
% 2.67/3.03 *** allocated 22500 integers for termspace/termends
% 2.67/3.03 *** allocated 75937 integers for clauses
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 33750 integers for termspace/termends
% 2.67/3.03 *** allocated 113905 integers for clauses
% 2.67/3.03 *** allocated 50625 integers for termspace/termends
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 3686
% 2.67/3.03 Kept: 2000
% 2.67/3.03 Inuse: 219
% 2.67/3.03 Deleted: 5
% 2.67/3.03 Deletedinuse: 0
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 170857 integers for clauses
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 75937 integers for termspace/termends
% 2.67/3.03 *** allocated 256285 integers for clauses
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 7032
% 2.67/3.03 Kept: 4001
% 2.67/3.03 Inuse: 345
% 2.67/3.03 Deleted: 9
% 2.67/3.03 Deletedinuse: 4
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 113905 integers for termspace/termends
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 384427 integers for clauses
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 10244
% 2.67/3.03 Kept: 6035
% 2.67/3.03 Inuse: 461
% 2.67/3.03 Deleted: 11
% 2.67/3.03 Deletedinuse: 6
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 170857 integers for termspace/termends
% 2.67/3.03 *** allocated 576640 integers for clauses
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 14314
% 2.67/3.03 Kept: 8048
% 2.67/3.03 Inuse: 585
% 2.67/3.03 Deleted: 11
% 2.67/3.03 Deletedinuse: 6
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 256285 integers for termspace/termends
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 19319
% 2.67/3.03 Kept: 11279
% 2.67/3.03 Inuse: 676
% 2.67/3.03 Deleted: 11
% 2.67/3.03 Deletedinuse: 6
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 864960 integers for clauses
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 24613
% 2.67/3.03 Kept: 13463
% 2.67/3.03 Inuse: 746
% 2.67/3.03 Deleted: 11
% 2.67/3.03 Deletedinuse: 6
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 33986
% 2.67/3.03 Kept: 15599
% 2.67/3.03 Inuse: 774
% 2.67/3.03 Deleted: 23
% 2.67/3.03 Deletedinuse: 11
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 384427 integers for termspace/termends
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 42486
% 2.67/3.03 Kept: 17670
% 2.67/3.03 Inuse: 832
% 2.67/3.03 Deleted: 66
% 2.67/3.03 Deletedinuse: 52
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 1297440 integers for clauses
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 52330
% 2.67/3.03 Kept: 19966
% 2.67/3.03 Inuse: 882
% 2.67/3.03 Deleted: 95
% 2.67/3.03 Deletedinuse: 56
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying clauses:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 576640 integers for termspace/termends
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 61984
% 2.67/3.03 Kept: 21971
% 2.67/3.03 Inuse: 910
% 2.67/3.03 Deleted: 1935
% 2.67/3.03 Deletedinuse: 57
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 73118
% 2.67/3.03 Kept: 24252
% 2.67/3.03 Inuse: 944
% 2.67/3.03 Deleted: 1939
% 2.67/3.03 Deletedinuse: 57
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 83453
% 2.67/3.03 Kept: 26550
% 2.67/3.03 Inuse: 979
% 2.67/3.03 Deleted: 1950
% 2.67/3.03 Deletedinuse: 58
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 1946160 integers for clauses
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 93106
% 2.67/3.03 Kept: 28855
% 2.67/3.03 Inuse: 1019
% 2.67/3.03 Deleted: 1950
% 2.67/3.03 Deletedinuse: 58
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 105391
% 2.67/3.03 Kept: 31385
% 2.67/3.03 Inuse: 1044
% 2.67/3.03 Deleted: 1952
% 2.67/3.03 Deletedinuse: 60
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 *** allocated 864960 integers for termspace/termends
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Intermediate Status:
% 2.67/3.03 Generated: 117010
% 2.67/3.03 Kept: 33414
% 2.67/3.03 Inuse: 1078
% 2.67/3.03 Deleted: 1960
% 2.67/3.03 Deletedinuse: 65
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03 Resimplifying inuse:
% 2.67/3.03 Done
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Bliksems!, er is een bewijs:
% 2.67/3.03 % SZS status Theorem
% 2.67/3.03 % SZS output start Refutation
% 2.67/3.03
% 2.67/3.03 (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 2.67/3.03 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.67/3.03 (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 2.67/3.03 alpha2( X, Y, Z ) }.
% 2.67/3.03 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.67/3.03 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.67/3.03 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.67/3.03 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.67/3.03 (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 2.67/3.03 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 2.67/3.03 (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52, skol46 ),
% 2.67/3.03 skol53 ) ==> skol49 }.
% 2.67/3.03 (284) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 ) }.
% 2.67/3.03 (288) {G2,W3,D2,L1,V0,M1} I;r(284) { ! segmentP( skol49, skol46 ) }.
% 2.67/3.03 (931) {G3,W8,D2,L3,V1,M3} R(22,288);r(276) { ! ssList( skol46 ), ! ssList(
% 2.67/3.03 X ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.03 (20398) {G4,W6,D2,L2,V1,M2} S(931);r(275) { ! ssList( X ), ! alpha2( skol49
% 2.67/3.03 , skol46, X ) }.
% 2.67/3.03 (22603) {G5,W4,D2,L1,V0,M1} R(20398,281) { ! alpha2( skol49, skol46, skol52
% 2.67/3.03 ) }.
% 2.67/3.03 (35302) {G2,W7,D2,L2,V1,M2} P(283,25);r(282) { ! skol49 = X, alpha2( X,
% 2.67/3.03 skol46, skol52 ) }.
% 2.67/3.03 (35316) {G6,W0,D0,L0,V0,M0} Q(35302);r(22603) { }.
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 % SZS output end Refutation
% 2.67/3.03 found a proof!
% 2.67/3.03
% 2.67/3.03
% 2.67/3.03 Unprocessed initial clauses:
% 2.67/3.03
% 2.67/3.03 (35318) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 2.67/3.03 , ! X = Y }.
% 2.67/3.03 (35319) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35320) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 2.67/3.03 (35321) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 2.67/3.03 (35322) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 2.67/3.03 (35323) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.67/3.03 , Y ), ssList( skol2( Z, T ) ) }.
% 2.67/3.03 (35324) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 2.67/3.03 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 2.67/3.03 (35325) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 2.67/3.03 (35326) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 2.67/3.03 ) ) }.
% 2.67/3.03 (35327) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 2.67/3.03 ( X, Y, Z ) ) ) = X }.
% 2.67/3.03 (35328) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 2.67/3.03 , alpha1( X, Y, Z ) }.
% 2.67/3.03 (35329) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 2.67/3.03 skol4( Y ) ) }.
% 2.67/3.03 (35330) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 2.67/3.03 skol4( X ), nil ) = X }.
% 2.67/3.03 (35331) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 2.67/3.03 nil ) = X, singletonP( X ) }.
% 2.67/3.03 (35332) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.67/3.03 X, Y ), ssList( skol5( Z, T ) ) }.
% 2.67/3.03 (35333) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.67/3.03 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 2.67/3.03 (35334) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 2.67/3.03 (35335) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.67/3.03 , Y ), ssList( skol6( Z, T ) ) }.
% 2.67/3.03 (35336) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.67/3.03 , Y ), app( skol6( X, Y ), Y ) = X }.
% 2.67/3.03 (35337) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 2.67/3.03 (35338) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.67/3.03 , Y ), ssList( skol7( Z, T ) ) }.
% 2.67/3.03 (35339) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.67/3.03 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 2.67/3.03 (35340) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.67/3.03 (35341) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 2.67/3.03 ) ) }.
% 2.67/3.03 (35342) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 2.67/3.03 skol8( X, Y, Z ) ) = X }.
% 2.67/3.03 (35343) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 2.67/3.03 , alpha2( X, Y, Z ) }.
% 2.67/3.03 (35344) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 2.67/3.03 Y ), alpha3( X, Y ) }.
% 2.67/3.03 (35345) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 2.67/3.03 cyclefreeP( X ) }.
% 2.67/3.03 (35346) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 2.67/3.03 cyclefreeP( X ) }.
% 2.67/3.03 (35347) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35348) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 2.67/3.03 (35349) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35350) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha28( X, Y, Z, T ) }.
% 2.67/3.03 (35351) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35352) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 2.67/3.03 alpha21( X, Y, Z ) }.
% 2.67/3.03 (35353) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha35( X, Y, Z, T, U ) }.
% 2.67/3.03 (35354) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35355) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 2.67/3.03 ), alpha28( X, Y, Z, T ) }.
% 2.67/3.03 (35356) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha41( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35357) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha35( X, Y, Z, T, U ) }.
% 2.67/3.03 (35358) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 2.67/3.03 (35359) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 2.67/3.03 (35360) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha41( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35361) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 2.67/3.03 W ) }.
% 2.67/3.03 (35362) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 2.67/3.03 X ) }.
% 2.67/3.03 (35363) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 2.67/3.03 (35364) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 2.67/3.03 (35365) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 2.67/3.03 ( Y ), alpha4( X, Y ) }.
% 2.67/3.03 (35366) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 2.67/3.03 totalorderP( X ) }.
% 2.67/3.03 (35367) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 2.67/3.03 totalorderP( X ) }.
% 2.67/3.03 (35368) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35369) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 2.67/3.03 (35370) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35371) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha29( X, Y, Z, T ) }.
% 2.67/3.03 (35372) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35373) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 2.67/3.03 alpha22( X, Y, Z ) }.
% 2.67/3.03 (35374) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha36( X, Y, Z, T, U ) }.
% 2.67/3.03 (35375) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35376) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 2.67/3.03 ), alpha29( X, Y, Z, T ) }.
% 2.67/3.03 (35377) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha42( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35378) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha36( X, Y, Z, T, U ) }.
% 2.67/3.03 (35379) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 2.67/3.03 (35380) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 2.67/3.03 (35381) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha42( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35382) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 2.67/3.03 W ) }.
% 2.67/3.03 (35383) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 2.67/3.03 }.
% 2.67/3.03 (35384) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 2.67/3.03 (35385) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 2.67/3.03 (35386) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 2.67/3.03 ( Y ), alpha5( X, Y ) }.
% 2.67/3.03 (35387) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 2.67/3.03 strictorderP( X ) }.
% 2.67/3.03 (35388) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 2.67/3.03 strictorderP( X ) }.
% 2.67/3.03 (35389) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35390) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 2.67/3.03 (35391) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35392) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha30( X, Y, Z, T ) }.
% 2.67/3.03 (35393) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35394) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 2.67/3.03 alpha23( X, Y, Z ) }.
% 2.67/3.03 (35395) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha37( X, Y, Z, T, U ) }.
% 2.67/3.03 (35396) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35397) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 2.67/3.03 ), alpha30( X, Y, Z, T ) }.
% 2.67/3.03 (35398) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha43( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35399) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha37( X, Y, Z, T, U ) }.
% 2.67/3.03 (35400) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 2.67/3.03 (35401) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 2.67/3.03 (35402) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha43( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35403) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 2.67/3.03 W ) }.
% 2.67/3.03 (35404) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 2.67/3.03 }.
% 2.67/3.03 (35405) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 2.67/3.03 (35406) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 2.67/3.03 (35407) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 2.67/3.03 ssItem( Y ), alpha6( X, Y ) }.
% 2.67/3.03 (35408) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 2.67/3.03 totalorderedP( X ) }.
% 2.67/3.03 (35409) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 2.67/3.03 totalorderedP( X ) }.
% 2.67/3.03 (35410) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35411) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 2.67/3.03 (35412) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35413) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha24( X, Y, Z, T ) }.
% 2.67/3.03 (35414) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35415) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 2.67/3.03 alpha15( X, Y, Z ) }.
% 2.67/3.03 (35416) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha31( X, Y, Z, T, U ) }.
% 2.67/3.03 (35417) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35418) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 2.67/3.03 ), alpha24( X, Y, Z, T ) }.
% 2.67/3.03 (35419) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha38( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35420) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha31( X, Y, Z, T, U ) }.
% 2.67/3.03 (35421) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 2.67/3.03 (35422) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 2.67/3.03 (35423) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha38( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35424) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 2.67/3.03 }.
% 2.67/3.03 (35425) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 2.67/3.03 ssItem( Y ), alpha7( X, Y ) }.
% 2.67/3.03 (35426) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 2.67/3.03 strictorderedP( X ) }.
% 2.67/3.03 (35427) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 2.67/3.03 strictorderedP( X ) }.
% 2.67/3.03 (35428) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35429) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 2.67/3.03 (35430) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35431) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha25( X, Y, Z, T ) }.
% 2.67/3.03 (35432) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35433) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 2.67/3.03 alpha16( X, Y, Z ) }.
% 2.67/3.03 (35434) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha32( X, Y, Z, T, U ) }.
% 2.67/3.03 (35435) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35436) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 2.67/3.03 ), alpha25( X, Y, Z, T ) }.
% 2.67/3.03 (35437) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha39( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35438) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha32( X, Y, Z, T, U ) }.
% 2.67/3.03 (35439) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 2.67/3.03 (35440) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 2.67/3.03 (35441) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha39( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35442) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 2.67/3.03 }.
% 2.67/3.03 (35443) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 2.67/3.03 ssItem( Y ), alpha8( X, Y ) }.
% 2.67/3.03 (35444) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 2.67/3.03 duplicatefreeP( X ) }.
% 2.67/3.03 (35445) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 2.67/3.03 duplicatefreeP( X ) }.
% 2.67/3.03 (35446) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35447) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 2.67/3.03 (35448) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35449) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha26( X, Y, Z, T ) }.
% 2.67/3.03 (35450) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35451) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 2.67/3.03 alpha17( X, Y, Z ) }.
% 2.67/3.03 (35452) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha33( X, Y, Z, T, U ) }.
% 2.67/3.03 (35453) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35454) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 2.67/3.03 ), alpha26( X, Y, Z, T ) }.
% 2.67/3.03 (35455) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 2.67/3.03 alpha40( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35456) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 2.67/3.03 alpha33( X, Y, Z, T, U ) }.
% 2.67/3.03 (35457) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 2.67/3.03 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 2.67/3.03 (35458) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 2.67/3.03 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 2.67/3.03 (35459) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 2.67/3.03 = X, alpha40( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35460) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 2.67/3.03 (35461) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 2.67/3.03 ( Y ), alpha9( X, Y ) }.
% 2.67/3.03 (35462) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 2.67/3.03 equalelemsP( X ) }.
% 2.67/3.03 (35463) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 2.67/3.03 equalelemsP( X ) }.
% 2.67/3.03 (35464) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 2.67/3.03 , Y, Z ) }.
% 2.67/3.03 (35465) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 2.67/3.03 (35466) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35467) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 2.67/3.03 alpha27( X, Y, Z, T ) }.
% 2.67/3.03 (35468) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 2.67/3.03 Z ) }.
% 2.67/3.03 (35469) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 2.67/3.03 alpha18( X, Y, Z ) }.
% 2.67/3.03 (35470) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 2.67/3.03 alpha34( X, Y, Z, T, U ) }.
% 2.67/3.03 (35471) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 2.67/3.03 X, Y, Z, T ) }.
% 2.67/3.03 (35472) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 2.67/3.03 ), alpha27( X, Y, Z, T ) }.
% 2.67/3.03 (35473) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 2.67/3.03 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 2.67/3.03 (35474) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 2.67/3.03 alpha34( X, Y, Z, T, U ) }.
% 2.67/3.03 (35475) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 2.67/3.03 (35476) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 2.67/3.03 , ! X = Y }.
% 2.67/3.03 (35477) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 2.67/3.03 , Y ) }.
% 2.67/3.03 (35478) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 2.67/3.03 Y, X ) ) }.
% 2.67/3.03 (35479) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 2.67/3.03 (35480) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 2.67/3.03 = X }.
% 2.67/3.03 (35481) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.67/3.03 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 2.67/3.03 (35482) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.67/3.03 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 2.67/3.03 (35483) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 2.67/3.03 ) }.
% 2.67/3.03 (35484) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 2.67/3.03 ) }.
% 2.67/3.03 (35485) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 2.67/3.03 skol43( X ) ) = X }.
% 2.67/3.03 (35486) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 2.67/3.03 Y, X ) }.
% 2.67/3.03 (35487) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 2.67/3.03 }.
% 2.67/3.03 (35488) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 2.67/3.03 X ) ) = Y }.
% 2.67/3.03 (35489) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 2.67/3.03 }.
% 2.67/3.03 (35490) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 2.67/3.03 X ) ) = X }.
% 2.67/3.03 (35491) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 2.67/3.03 , Y ) ) }.
% 2.67/3.03 (35492) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 2.67/3.03 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 2.67/3.03 (35493) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 2.67/3.03 (35494) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.67/3.03 , ! leq( Y, X ), X = Y }.
% 2.67/3.03 (35495) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.67/3.03 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 2.67/3.03 (35496) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 2.67/3.03 (35497) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.67/3.03 , leq( Y, X ) }.
% 2.67/3.03 (35498) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 2.67/3.03 , geq( X, Y ) }.
% 2.67/3.03 (35499) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.67/3.03 , ! lt( Y, X ) }.
% 2.67/3.03 (35500) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.67/3.03 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.67/3.03 (35501) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.67/3.03 , lt( Y, X ) }.
% 2.67/3.03 (35502) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 2.67/3.03 , gt( X, Y ) }.
% 2.67/3.03 (35503) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 2.67/3.03 (35504) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 2.67/3.03 (35505) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 2.67/3.03 (35506) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 2.67/3.03 (35507) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 2.67/3.03 (35508) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 2.67/3.03 (35509) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 2.67/3.03 (35510) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 2.67/3.03 (35511) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 2.67/3.03 (35512) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 2.67/3.03 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 2.67/3.03 (35513) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 2.67/3.03 (35514) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 2.67/3.03 (35515) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 2.67/3.03 (35516) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 2.67/3.03 , T ) }.
% 2.67/3.03 (35517) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 2.67/3.03 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 2.67/3.03 cons( Y, T ) ) }.
% 2.67/3.03 (35518) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 2.67/3.03 (35519) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 2.67/3.03 X }.
% 2.67/3.03 (35520) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 2.67/3.03 ) }.
% 2.67/3.03 (35521) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 2.67/3.03 (35522) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 2.67/3.03 , Y ), ! rearsegP( Y, X ), X = Y }.
% 2.67/3.03 (35523) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 2.67/3.03 (35524) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 2.67/3.03 (35525) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 2.67/3.03 (35526) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 2.67/3.03 }.
% 2.67/3.03 (35527) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 2.67/3.03 }.
% 2.67/3.03 (35528) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 2.67/3.03 (35529) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 2.67/3.03 , Y ), ! segmentP( Y, X ), X = Y }.
% 2.67/3.03 (35530) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 2.67/3.03 (35531) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 2.67/3.03 }.
% 2.67/3.03 (35532) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 2.67/3.03 (35533) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 2.67/3.03 }.
% 2.67/3.03 (35534) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 2.67/3.03 }.
% 2.67/3.03 (35535) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 2.67/3.03 }.
% 2.67/3.03 (35536) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 2.67/3.03 (35537) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 2.67/3.03 }.
% 2.67/3.03 (35538) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 2.67/3.03 (35539) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 2.67/3.03 ) }.
% 2.67/3.03 (35540) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 2.67/3.03 (35541) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 2.67/3.03 ) }.
% 2.67/3.03 (35542) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 2.67/3.03 (35543) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.67/3.03 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 2.67/3.03 (35544) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.67/3.03 totalorderedP( cons( X, Y ) ) }.
% 2.67/3.03 (35545) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 2.67/3.03 , Y ), totalorderedP( cons( X, Y ) ) }.
% 2.67/3.03 (35546) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 2.67/3.03 (35547) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 2.67/3.03 (35548) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 2.67/3.03 }.
% 2.67/3.03 (35549) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 2.67/3.03 (35550) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 2.67/3.03 (35551) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 2.67/3.03 alpha19( X, Y ) }.
% 2.67/3.03 (35552) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 2.67/3.03 ) ) }.
% 2.67/3.03 (35553) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 2.67/3.03 (35554) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 2.67/3.03 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 2.67/3.03 (35555) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 2.67/3.03 strictorderedP( cons( X, Y ) ) }.
% 2.67/3.03 (35556) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 2.67/3.03 , Y ), strictorderedP( cons( X, Y ) ) }.
% 2.67/3.03 (35557) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 2.67/3.03 (35558) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 2.67/3.03 (35559) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 2.67/3.03 }.
% 2.67/3.03 (35560) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 2.67/3.03 (35561) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 2.67/3.03 (35562) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 2.67/3.03 alpha20( X, Y ) }.
% 2.67/3.03 (35563) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 2.67/3.03 ) ) }.
% 2.67/3.03 (35564) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 2.67/3.03 (35565) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 2.67/3.03 }.
% 2.67/3.03 (35566) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 2.67/3.03 (35567) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 2.67/3.03 ) }.
% 2.67/3.03 (35568) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 2.67/3.03 ) }.
% 2.67/3.03 (35569) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 2.67/3.03 ) }.
% 2.67/3.03 (35570) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 2.67/3.03 ) }.
% 2.67/3.03 (35571) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 2.67/3.03 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 2.67/3.03 (35572) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 2.67/3.03 X ) ) = X }.
% 2.67/3.03 (35573) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 2.67/3.03 (35574) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 2.67/3.03 (35575) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 2.67/3.03 = app( cons( Y, nil ), X ) }.
% 2.67/3.03 (35576) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 2.67/3.03 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 2.67/3.03 (35577) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.67/3.03 X, Y ), nil = Y }.
% 2.67/3.03 (35578) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 2.67/3.03 X, Y ), nil = X }.
% 2.67/3.03 (35579) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 2.67/3.03 nil = X, nil = app( X, Y ) }.
% 2.67/3.03 (35580) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 2.67/3.03 (35581) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 2.67/3.03 app( X, Y ) ) = hd( X ) }.
% 2.67/3.03 (35582) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 2.67/3.03 app( X, Y ) ) = app( tl( X ), Y ) }.
% 2.67/3.03 (35583) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 2.67/3.03 , ! geq( Y, X ), X = Y }.
% 2.67/3.03 (35584) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.67/3.03 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 2.67/3.03 (35585) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 2.67/3.03 (35586) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 2.67/3.04 (35587) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.67/3.04 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 2.67/3.04 (35588) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 2.67/3.04 , X = Y, lt( X, Y ) }.
% 2.67/3.04 (35589) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.67/3.04 , ! X = Y }.
% 2.67/3.04 (35590) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 2.67/3.04 , leq( X, Y ) }.
% 2.67/3.04 (35591) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 2.67/3.04 ( X, Y ), lt( X, Y ) }.
% 2.67/3.04 (35592) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 2.67/3.04 , ! gt( Y, X ) }.
% 2.67/3.04 (35593) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 2.67/3.04 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 2.67/3.04 (35594) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.67/3.04 (35595) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.67/3.04 (35596) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 2.67/3.04 (35597) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 2.67/3.04 (35598) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.67/3.04 (35599) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.67/3.04 (35600) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.67/3.04 (35601) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 2.67/3.04 (35602) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ), skol53 ) =
% 2.67/3.04 skol51 }.
% 2.67/3.04 (35603) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 2.67/3.04 (35604) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( Y,
% 2.67/3.04 cons( X, nil ) ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( cons( Z,
% 2.67/3.04 nil ), T ) = skol50, ! leq( X, Z ) }.
% 2.67/3.04 (35605) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 2.67/3.04 X, nil ), Y ) = skol53, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 2.67/3.04 nil ) ) = skol50, ! leq( Z, X ) }.
% 2.67/3.04 (35606) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 2.67/3.04 (35607) {G0,W5,D2,L2,V0,M2} { ! segmentP( skol49, skol46 ), !
% 2.67/3.04 totalorderedP( skol46 ) }.
% 2.67/3.04
% 2.67/3.04
% 2.67/3.04 Total Proof:
% 2.67/3.04
% 2.67/3.04 subsumption: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.67/3.04 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.67/3.04 parent0: (35340) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 2.67/3.04 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.67/3.04 substitution0:
% 2.67/3.04 X := X
% 2.67/3.04 Y := Y
% 2.67/3.04 Z := Z
% 2.67/3.04 end
% 2.67/3.04 permutation0:
% 2.67/3.04 0 ==> 0
% 2.67/3.04 1 ==> 1
% 2.67/3.04 2 ==> 2
% 2.67/3.04 3 ==> 3
% 2.67/3.04 4 ==> 4
% 2.67/3.04 end
% 2.67/3.04
% 2.67/3.04 subsumption: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y
% 2.67/3.04 ), T ) = X, alpha2( X, Y, Z ) }.
% 2.67/3.04 parent0: (35343) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y )
% 2.67/3.04 , T ) = X, alpha2( X, Y, Z ) }.
% 2.67/3.04 substitution0:
% 2.67/3.04 X := X
% 2.67/3.04 Y := Y
% 2.67/3.04 Z := Z
% 2.67/3.04 T := T
% 2.67/3.04 end
% 2.67/3.04 permutation0:
% 2.67/3.04 0 ==> 0
% 2.67/3.04 1 ==> 1
% 2.67/3.04 2 ==> 2
% 2.67/3.04 end
% 2.67/3.04
% 2.67/3.04 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.67/3.04 parent0: (35594) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 2.67/3.04 substitution0:
% 2.67/3.04 end
% 2.67/3.04 permutation0:
% 2.67/3.04 0 ==> 0
% 2.67/3.04 end
% 2.67/3.04
% 2.67/3.04 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.67/3.04 parent0: (35595) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 2.67/3.04 substitution0:
% 2.67/3.04 end
% 2.67/3.04 permutation0:
% 2.67/3.04 0 ==> 0
% 2.67/3.04 end
% 2.67/3.04
% 2.67/3.04 eqswap: (36732) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.67/3.04 parent0[0]: (35598) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 2.67/3.04 substitution0:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.67/3.05 parent0: (36732) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 eqswap: (37080) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.67/3.05 parent0[0]: (35599) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.67/3.05 parent0: (37080) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 2.67/3.05 parent0: (35600) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 2.67/3.05 parent0: (35601) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 paramod: (38706) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.67/3.05 ) = skol51 }.
% 2.67/3.05 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.67/3.05 parent1[0; 4]: (35602) {G0,W7,D4,L1,V0,M1} { app( app( skol52, skol50 ),
% 2.67/3.05 skol53 ) = skol51 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 paramod: (38707) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.67/3.05 ) = skol49 }.
% 2.67/3.05 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 2.67/3.05 parent1[0; 6]: (38706) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ),
% 2.67/3.05 skol53 ) = skol51 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52,
% 2.67/3.05 skol46 ), skol53 ) ==> skol49 }.
% 2.67/3.05 parent0: (38707) {G1,W7,D4,L1,V0,M1} { app( app( skol52, skol46 ), skol53
% 2.67/3.05 ) = skol49 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 paramod: (39358) {G1,W2,D2,L1,V0,M1} { totalorderedP( skol46 ) }.
% 2.67/3.05 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 2.67/3.05 parent1[0; 1]: (35603) {G0,W2,D2,L1,V0,M1} { totalorderedP( skol50 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (284) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 )
% 2.67/3.05 }.
% 2.67/3.05 parent0: (39358) {G1,W2,D2,L1,V0,M1} { totalorderedP( skol46 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39748) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 2.67/3.05 parent0[1]: (35607) {G0,W5,D2,L2,V0,M2} { ! segmentP( skol49, skol46 ), !
% 2.67/3.05 totalorderedP( skol46 ) }.
% 2.67/3.05 parent1[0]: (284) {G1,W2,D2,L1,V0,M1} I;d(280) { totalorderedP( skol46 )
% 2.67/3.05 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (288) {G2,W3,D2,L1,V0,M1} I;r(284) { ! segmentP( skol49,
% 2.67/3.05 skol46 ) }.
% 2.67/3.05 parent0: (39748) {G1,W3,D2,L1,V0,M1} { ! segmentP( skol49, skol46 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39749) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 2.67/3.05 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent0[0]: (288) {G2,W3,D2,L1,V0,M1} I;r(284) { ! segmentP( skol49, skol46
% 2.67/3.05 ) }.
% 2.67/3.05 parent1[4]: (22) {G0,W13,D2,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 2.67/3.05 ssList( Z ), ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 X := skol49
% 2.67/3.05 Y := skol46
% 2.67/3.05 Z := X
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39754) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X
% 2.67/3.05 ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent0[0]: (39749) {G1,W10,D2,L4,V1,M4} { ! ssList( skol49 ), ! ssList(
% 2.67/3.05 skol46 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (931) {G3,W8,D2,L3,V1,M3} R(22,288);r(276) { ! ssList( skol46
% 2.67/3.05 ), ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent0: (39754) {G1,W8,D2,L3,V1,M3} { ! ssList( skol46 ), ! ssList( X ),
% 2.67/3.05 ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 1 ==> 1
% 2.67/3.05 2 ==> 2
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39758) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49
% 2.67/3.05 , skol46, X ) }.
% 2.67/3.05 parent0[0]: (931) {G3,W8,D2,L3,V1,M3} R(22,288);r(276) { ! ssList( skol46 )
% 2.67/3.05 , ! ssList( X ), ! alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (20398) {G4,W6,D2,L2,V1,M2} S(931);r(275) { ! ssList( X ), !
% 2.67/3.05 alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent0: (39758) {G1,W6,D2,L2,V1,M2} { ! ssList( X ), ! alpha2( skol49,
% 2.67/3.05 skol46, X ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 1 ==> 1
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39759) {G1,W4,D2,L1,V0,M1} { ! alpha2( skol49, skol46, skol52
% 2.67/3.05 ) }.
% 2.67/3.05 parent0[0]: (20398) {G4,W6,D2,L2,V1,M2} S(931);r(275) { ! ssList( X ), !
% 2.67/3.05 alpha2( skol49, skol46, X ) }.
% 2.67/3.05 parent1[0]: (281) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := skol52
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (22603) {G5,W4,D2,L1,V0,M1} R(20398,281) { ! alpha2( skol49,
% 2.67/3.05 skol46, skol52 ) }.
% 2.67/3.05 parent0: (39759) {G1,W4,D2,L1,V0,M1} { ! alpha2( skol49, skol46, skol52 )
% 2.67/3.05 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 eqswap: (39761) {G0,W13,D4,L3,V4,M3} { ! T = app( app( X, Y ), Z ), !
% 2.67/3.05 ssList( Z ), alpha2( T, Y, X ) }.
% 2.67/3.05 parent0[1]: (25) {G0,W13,D4,L3,V4,M3} I { ! ssList( T ), ! app( app( Z, Y )
% 2.67/3.05 , T ) = X, alpha2( X, Y, Z ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := T
% 2.67/3.05 Y := Y
% 2.67/3.05 Z := X
% 2.67/3.05 T := Z
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 paramod: (39762) {G1,W9,D2,L3,V1,M3} { ! X = skol49, ! ssList( skol53 ),
% 2.67/3.05 alpha2( X, skol46, skol52 ) }.
% 2.67/3.05 parent0[0]: (283) {G1,W7,D4,L1,V0,M1} I;d(280);d(279) { app( app( skol52,
% 2.67/3.05 skol46 ), skol53 ) ==> skol49 }.
% 2.67/3.05 parent1[0; 3]: (39761) {G0,W13,D4,L3,V4,M3} { ! T = app( app( X, Y ), Z )
% 2.67/3.05 , ! ssList( Z ), alpha2( T, Y, X ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 X := skol52
% 2.67/3.05 Y := skol46
% 2.67/3.05 Z := skol53
% 2.67/3.05 T := X
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39764) {G1,W7,D2,L2,V1,M2} { ! X = skol49, alpha2( X, skol46
% 2.67/3.05 , skol52 ) }.
% 2.67/3.05 parent0[1]: (39762) {G1,W9,D2,L3,V1,M3} { ! X = skol49, ! ssList( skol53 )
% 2.67/3.05 , alpha2( X, skol46, skol52 ) }.
% 2.67/3.05 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 eqswap: (39765) {G1,W7,D2,L2,V1,M2} { ! skol49 = X, alpha2( X, skol46,
% 2.67/3.05 skol52 ) }.
% 2.67/3.05 parent0[0]: (39764) {G1,W7,D2,L2,V1,M2} { ! X = skol49, alpha2( X, skol46
% 2.67/3.05 , skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (35302) {G2,W7,D2,L2,V1,M2} P(283,25);r(282) { ! skol49 = X,
% 2.67/3.05 alpha2( X, skol46, skol52 ) }.
% 2.67/3.05 parent0: (39765) {G1,W7,D2,L2,V1,M2} { ! skol49 = X, alpha2( X, skol46,
% 2.67/3.05 skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 0 ==> 0
% 2.67/3.05 1 ==> 1
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 eqswap: (39766) {G2,W7,D2,L2,V1,M2} { ! X = skol49, alpha2( X, skol46,
% 2.67/3.05 skol52 ) }.
% 2.67/3.05 parent0[0]: (35302) {G2,W7,D2,L2,V1,M2} P(283,25);r(282) { ! skol49 = X,
% 2.67/3.05 alpha2( X, skol46, skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := X
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 eqrefl: (39767) {G0,W4,D2,L1,V0,M1} { alpha2( skol49, skol46, skol52 ) }.
% 2.67/3.05 parent0[0]: (39766) {G2,W7,D2,L2,V1,M2} { ! X = skol49, alpha2( X, skol46
% 2.67/3.05 , skol52 ) }.
% 2.67/3.05 substitution0:
% 2.67/3.05 X := skol49
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 resolution: (39768) {G1,W0,D0,L0,V0,M0} { }.
% 2.67/3.05 parent0[0]: (22603) {G5,W4,D2,L1,V0,M1} R(20398,281) { ! alpha2( skol49,
% 2.67/3.05 skol46, skol52 ) }.
% 2.67/3.05 parent1[0]: (39767) {G0,W4,D2,L1,V0,M1} { alpha2( skol49, skol46, skol52 )
% 2.67/3.05 }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 substitution1:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 subsumption: (35316) {G6,W0,D0,L0,V0,M0} Q(35302);r(22603) { }.
% 2.67/3.05 parent0: (39768) {G1,W0,D0,L0,V0,M0} { }.
% 2.67/3.05 substitution0:
% 2.67/3.05 end
% 2.67/3.05 permutation0:
% 2.67/3.05 end
% 2.67/3.05
% 2.67/3.05 Proof check complete!
% 2.67/3.05
% 2.67/3.05 Memory use:
% 2.67/3.05
% 2.67/3.05 space for terms: 649813
% 2.67/3.05 space for clauses: 1573655
% 2.67/3.05
% 2.67/3.05
% 2.67/3.05 clauses generated: 124161
% 2.67/3.05 clauses kept: 35317
% 2.67/3.05 clauses selected: 1106
% 2.67/3.05 clauses deleted: 1960
% 2.67/3.05 clauses inuse deleted: 65
% 2.67/3.05
% 2.67/3.05 subsentry: 192556
% 2.67/3.05 literals s-matched: 120145
% 2.67/3.05 literals matched: 103200
% 2.67/3.05 full subsumption: 53498
% 2.67/3.05
% 2.67/3.05 checksum: 452370861
% 2.67/3.05
% 2.67/3.05
% 2.67/3.05 Bliksem ended
%------------------------------------------------------------------------------