TSTP Solution File: SWC189+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC189+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 19:34:38 EDT 2022
% Result : Theorem 3.37s 3.71s
% Output : Refutation 3.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC189+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n021.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 14:21:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.14 *** allocated 10000 integers for termspace/termends
% 0.44/1.14 *** allocated 10000 integers for clauses
% 0.44/1.14 *** allocated 10000 integers for justifications
% 0.44/1.14 Bliksem 1.12
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 Automatic Strategy Selection
% 0.44/1.14
% 0.44/1.14 *** allocated 15000 integers for termspace/termends
% 0.44/1.14
% 0.44/1.14 Clauses:
% 0.44/1.14
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.44/1.14 { ssItem( skol1 ) }.
% 0.44/1.14 { ssItem( skol47 ) }.
% 0.44/1.14 { ! skol1 = skol47 }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.44/1.14 }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.44/1.14 Y ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.44/1.14 ( X, Y ) }.
% 0.44/1.14 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.44/1.14 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.44/1.14 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.44/1.14 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.44/1.14 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.44/1.14 ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.44/1.14 ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.44/1.14 ( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.44/1.14 }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.44/1.14 = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.44/1.14 ( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.44/1.14 }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.44/1.14 , Y ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.44/1.14 segmentP( X, Y ) }.
% 0.44/1.14 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.44/1.14 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.44/1.14 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.44/1.14 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.44/1.14 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.44/1.14 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.44/1.14 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.44/1.14 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.44/1.14 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, alpha12( Y, Z ) }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.44/1.14 { leq( X, Y ), alpha12( X, Y ) }.
% 0.44/1.14 { leq( Y, X ), alpha12( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.44/1.14 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.44/1.14 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.44/1.14 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.44/1.14 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.44/1.14 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, alpha13( Y, Z ) }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.44/1.14 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.44/1.14 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.44/1.14 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.44/1.14 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.44/1.14 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.44/1.14 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, alpha14( Y, Z ) }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.44/1.14 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.44/1.14 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.44/1.14 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.44/1.14 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.44/1.14 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.44/1.14 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.44/1.14 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, leq( Y, Z ) }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.44/1.14 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.44/1.14 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.44/1.14 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.44/1.14 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.44/1.14 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, lt( Y, Z ) }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.44/1.14 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.44/1.14 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.44/1.14 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.44/1.14 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.44/1.14 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.44/1.14 .
% 0.44/1.14 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.44/1.14 , U ) }.
% 0.44/1.14 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.44/1.14 ) ) = X, ! Y = Z }.
% 0.44/1.14 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.44/1.14 W ) }.
% 0.44/1.14 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.44/1.14 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.44/1.14 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.44/1.14 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.44/1.14 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.44/1.14 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.44/1.14 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.44/1.14 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.44/1.14 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.44/1.14 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.44/1.14 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.44/1.14 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.44/1.14 Z }.
% 0.44/1.14 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.44/1.14 { ssList( nil ) }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.44/1.14 ) = cons( T, Y ), Z = T }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.44/1.14 ) = cons( T, Y ), Y = X }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.44/1.14 ( cons( Z, Y ), X ) }.
% 0.44/1.14 { ! ssList( X ), app( nil, X ) = X }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.44/1.14 , leq( X, Z ) }.
% 0.44/1.14 { ! ssItem( X ), leq( X, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.44/1.14 lt( X, Z ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.44/1.14 , memberP( Y, X ), memberP( Z, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.44/1.14 app( Y, Z ), X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.44/1.14 app( Y, Z ), X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.44/1.14 , X = Y, memberP( Z, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.44/1.14 ), X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.44/1.14 cons( Y, Z ), X ) }.
% 0.44/1.14 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.44/1.14 { ! singletonP( nil ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.44/1.14 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.44/1.14 = Y }.
% 0.44/1.14 { ! ssList( X ), frontsegP( X, X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.44/1.14 frontsegP( app( X, Z ), Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.44/1.14 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.44/1.14 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.44/1.14 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.44/1.14 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.44/1.14 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.44/1.14 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.44/1.14 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.44/1.14 Y }.
% 0.44/1.14 { ! ssList( X ), rearsegP( X, X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.44/1.14 ( app( Z, X ), Y ) }.
% 0.44/1.14 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.44/1.14 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.44/1.14 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.44/1.14 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.44/1.14 Y }.
% 0.44/1.14 { ! ssList( X ), segmentP( X, X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.44/1.14 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.44/1.14 { ! ssList( X ), segmentP( X, nil ) }.
% 0.44/1.14 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.44/1.14 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.44/1.14 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.44/1.14 { cyclefreeP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.44/1.14 { totalorderP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.44/1.14 { strictorderP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.44/1.14 { totalorderedP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.44/1.14 alpha10( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.44/1.14 .
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.44/1.14 Y ) ) }.
% 0.44/1.14 { ! alpha10( X, Y ), ! nil = Y }.
% 0.44/1.14 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.44/1.14 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.44/1.14 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.44/1.14 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.44/1.14 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.44/1.14 { strictorderedP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.44/1.14 alpha11( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.44/1.14 .
% 0.44/1.14 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.44/1.14 , Y ) ) }.
% 0.44/1.14 { ! alpha11( X, Y ), ! nil = Y }.
% 0.44/1.14 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.44/1.14 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.44/1.14 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.44/1.14 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.44/1.14 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.44/1.14 { duplicatefreeP( nil ) }.
% 0.44/1.14 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.44/1.14 { equalelemsP( nil ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.44/1.14 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.44/1.14 ( Y ) = tl( X ), Y = X }.
% 0.44/1.14 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.44/1.14 , Z = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.44/1.14 , Z = X }.
% 0.44/1.14 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.44/1.14 ( X, app( Y, Z ) ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.44/1.14 { ! ssList( X ), app( X, nil ) = X }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.44/1.14 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.44/1.14 Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.44/1.14 , geq( X, Z ) }.
% 0.44/1.14 { ! ssItem( X ), geq( X, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! lt( X, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.44/1.14 , lt( X, Z ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.44/1.14 gt( X, Z ) }.
% 0.44/1.14 { ssList( skol46 ) }.
% 0.44/1.14 { ssList( skol49 ) }.
% 0.44/1.14 { ssList( skol50 ) }.
% 0.44/1.14 { ssList( skol51 ) }.
% 0.44/1.14 { skol49 = skol51 }.
% 0.44/1.14 { skol46 = skol50 }.
% 0.44/1.14 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), X = Y, ! app
% 0.44/1.14 ( app( app( Z, cons( X, nil ) ), cons( Y, nil ) ), T ) = skol50 }.
% 0.44/1.14 { ssItem( skol52 ) }.
% 0.44/1.14 { ssItem( skol53 ) }.
% 0.44/1.14 { ssList( skol54 ) }.
% 0.44/1.14 { ssList( skol55 ) }.
% 0.44/1.14 { app( app( app( skol54, cons( skol52, nil ) ), cons( skol53, nil ) ),
% 0.44/1.14 skol55 ) = skol46 }.
% 0.44/1.14 { ! skol52 = skol53 }.
% 0.44/1.14
% 0.44/1.14 *** allocated 15000 integers for clauses
% 0.44/1.14 percentage equality = 0.131051, percentage horn = 0.763889
% 0.44/1.14 This is a problem with some equality
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14
% 0.44/1.14 Options Used:
% 0.44/1.14
% 0.44/1.14 useres = 1
% 0.44/1.14 useparamod = 1
% 0.44/1.14 useeqrefl = 1
% 0.44/1.14 useeqfact = 1
% 0.44/1.14 usefactor = 1
% 0.44/1.14 usesimpsplitting = 0
% 0.44/1.14 usesimpdemod = 5
% 0.44/1.14 usesimpres = 3
% 0.44/1.14
% 0.44/1.14 resimpinuse = 1000
% 0.44/1.14 resimpclauses = 20000
% 0.44/1.14 substype = eqrewr
% 0.44/1.14 backwardsubs = 1
% 0.44/1.14 selectoldest = 5
% 0.44/1.14
% 0.44/1.14 litorderings [0] = split
% 0.44/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.14
% 0.44/1.14 termordering = kbo
% 0.44/1.14
% 0.44/1.14 litapriori = 0
% 0.44/1.14 termapriori = 1
% 0.44/1.14 litaposteriori = 0
% 0.44/1.14 termaposteriori = 0
% 0.44/1.14 demodaposteriori = 0
% 0.44/1.14 ordereqreflfact = 0
% 0.44/1.14
% 0.44/1.14 litselect = negord
% 0.44/1.14
% 0.44/1.14 maxweight = 15
% 0.44/1.14 maxdepth = 30000
% 0.44/1.14 maxlength = 115
% 0.44/1.14 maxnrvars = 195
% 0.44/1.14 excuselevel = 1
% 0.44/1.14 increasemaxweight = 1
% 0.44/1.14
% 0.44/1.14 maxselected = 10000000
% 0.44/1.14 maxnrclauses = 10000000
% 0.44/1.14
% 0.44/1.14 showgenerated = 0
% 0.44/1.14 showkept = 0
% 0.44/1.14 showselected = 0
% 0.44/1.14 showdeleted = 0
% 0.44/1.14 showresimp = 1
% 0.44/1.14 showstatus = 2000
% 0.44/1.14
% 0.44/1.14 prologoutput = 0
% 0.44/1.14 nrgoals = 5000000
% 0.44/1.14 totalproof = 1
% 0.44/1.14
% 0.44/1.14 Symbols occurring in the translation:
% 0.44/1.14
% 0.44/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.14 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.44/1.14 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 0.44/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.14 ssItem [36, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.44/1.14 neq [38, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.44/1.14 ssList [39, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.44/1.14 memberP [40, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.44/1.14 cons [43, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.44/1.14 app [44, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.44/1.14 singletonP [45, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.44/1.14 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.35/1.72 frontsegP [47, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.35/1.72 rearsegP [48, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.35/1.72 segmentP [49, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.35/1.72 cyclefreeP [50, 1] (w:1, o:37, a:1, s:1, b:0),
% 1.35/1.72 leq [53, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.35/1.72 totalorderP [54, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.35/1.72 strictorderP [55, 1] (w:1, o:38, a:1, s:1, b:0),
% 1.35/1.72 lt [56, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.35/1.72 totalorderedP [57, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.35/1.72 strictorderedP [58, 1] (w:1, o:39, a:1, s:1, b:0),
% 1.35/1.72 duplicatefreeP [59, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.35/1.72 equalelemsP [60, 1] (w:1, o:55, a:1, s:1, b:0),
% 1.35/1.72 hd [61, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.35/1.72 tl [62, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.35/1.72 geq [63, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.35/1.72 gt [64, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.35/1.72 alpha1 [71, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.35/1.72 alpha2 [72, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.35/1.72 alpha3 [73, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.35/1.72 alpha4 [74, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.35/1.72 alpha5 [75, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.35/1.72 alpha6 [76, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.35/1.72 alpha7 [77, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.35/1.72 alpha8 [78, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.35/1.72 alpha9 [79, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.35/1.72 alpha10 [80, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.35/1.72 alpha11 [81, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.35/1.72 alpha12 [82, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.35/1.72 alpha13 [83, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.35/1.72 alpha14 [84, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.35/1.72 alpha15 [85, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.35/1.72 alpha16 [86, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.35/1.72 alpha17 [87, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.35/1.72 alpha18 [88, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.35/1.72 alpha19 [89, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.35/1.72 alpha20 [90, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.35/1.72 alpha21 [91, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.35/1.72 alpha22 [92, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.35/1.72 alpha23 [93, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.35/1.72 alpha24 [94, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.35/1.72 alpha25 [95, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.35/1.72 alpha26 [96, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.35/1.72 alpha27 [97, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.35/1.72 alpha28 [98, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.35/1.72 alpha29 [99, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.35/1.72 alpha30 [100, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.35/1.72 alpha31 [101, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.35/1.72 alpha32 [102, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.35/1.72 alpha33 [103, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.35/1.72 alpha34 [104, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.35/1.72 alpha35 [105, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.35/1.72 alpha36 [106, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.35/1.72 alpha37 [107, 5] (w:1, o:156, a:1, s:1, b:1),
% 1.35/1.72 alpha38 [108, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.35/1.72 alpha39 [109, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.35/1.72 alpha40 [110, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.35/1.72 alpha41 [111, 6] (w:1, o:166, a:1, s:1, b:1),
% 1.35/1.72 alpha42 [112, 6] (w:1, o:167, a:1, s:1, b:1),
% 1.35/1.72 alpha43 [113, 6] (w:1, o:168, a:1, s:1, b:1),
% 1.35/1.72 skol1 [114, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.35/1.72 skol2 [115, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.35/1.72 skol3 [116, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.35/1.72 skol4 [117, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.35/1.72 skol5 [118, 2] (w:1, o:111, a:1, s:1, b:1),
% 1.35/1.72 skol6 [119, 2] (w:1, o:112, a:1, s:1, b:1),
% 1.35/1.72 skol7 [120, 2] (w:1, o:113, a:1, s:1, b:1),
% 1.35/1.72 skol8 [121, 3] (w:1, o:130, a:1, s:1, b:1),
% 1.35/1.72 skol9 [122, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.35/1.72 skol10 [123, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.35/1.72 skol11 [124, 3] (w:1, o:131, a:1, s:1, b:1),
% 1.35/1.72 skol12 [125, 4] (w:1, o:143, a:1, s:1, b:1),
% 1.35/1.72 skol13 [126, 5] (w:1, o:157, a:1, s:1, b:1),
% 1.35/1.72 skol14 [127, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.35/1.72 skol15 [128, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.35/1.72 skol16 [129, 3] (w:1, o:132, a:1, s:1, b:1),
% 1.35/1.72 skol17 [130, 4] (w:1, o:144, a:1, s:1, b:1),
% 1.35/1.72 skol18 [131, 5] (w:1, o:158, a:1, s:1, b:1),
% 1.35/1.72 skol19 [132, 1] (w:1, o:45, a:1, s:1, b:1),
% 1.35/1.72 skol20 [133, 2] (w:1, o:114, a:1, s:1, b:1),
% 3.37/3.71 skol21 [134, 3] (w:1, o:127, a:1, s:1, b:1),
% 3.37/3.71 skol22 [135, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.37/3.71 skol23 [136, 5] (w:1, o:159, a:1, s:1, b:1),
% 3.37/3.71 skol24 [137, 1] (w:1, o:46, a:1, s:1, b:1),
% 3.37/3.71 skol25 [138, 2] (w:1, o:115, a:1, s:1, b:1),
% 3.37/3.71 skol26 [139, 3] (w:1, o:128, a:1, s:1, b:1),
% 3.37/3.71 skol27 [140, 4] (w:1, o:146, a:1, s:1, b:1),
% 3.37/3.71 skol28 [141, 5] (w:1, o:160, a:1, s:1, b:1),
% 3.37/3.71 skol29 [142, 1] (w:1, o:47, a:1, s:1, b:1),
% 3.37/3.71 skol30 [143, 2] (w:1, o:116, a:1, s:1, b:1),
% 3.37/3.71 skol31 [144, 3] (w:1, o:133, a:1, s:1, b:1),
% 3.37/3.71 skol32 [145, 4] (w:1, o:147, a:1, s:1, b:1),
% 3.37/3.71 skol33 [146, 5] (w:1, o:161, a:1, s:1, b:1),
% 3.37/3.71 skol34 [147, 1] (w:1, o:40, a:1, s:1, b:1),
% 3.37/3.71 skol35 [148, 2] (w:1, o:117, a:1, s:1, b:1),
% 3.37/3.71 skol36 [149, 3] (w:1, o:134, a:1, s:1, b:1),
% 3.37/3.71 skol37 [150, 4] (w:1, o:148, a:1, s:1, b:1),
% 3.37/3.71 skol38 [151, 5] (w:1, o:162, a:1, s:1, b:1),
% 3.37/3.71 skol39 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 3.37/3.71 skol40 [153, 2] (w:1, o:110, a:1, s:1, b:1),
% 3.37/3.71 skol41 [154, 3] (w:1, o:135, a:1, s:1, b:1),
% 3.37/3.71 skol42 [155, 4] (w:1, o:149, a:1, s:1, b:1),
% 3.37/3.71 skol43 [156, 1] (w:1, o:48, a:1, s:1, b:1),
% 3.37/3.71 skol44 [157, 1] (w:1, o:49, a:1, s:1, b:1),
% 3.37/3.71 skol45 [158, 1] (w:1, o:50, a:1, s:1, b:1),
% 3.37/3.71 skol46 [159, 0] (w:1, o:20, a:1, s:1, b:1),
% 3.37/3.71 skol47 [160, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.37/3.71 skol48 [161, 1] (w:1, o:51, a:1, s:1, b:1),
% 3.37/3.71 skol49 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.37/3.71 skol50 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.37/3.71 skol51 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 3.37/3.71 skol52 [165, 0] (w:1, o:25, a:1, s:1, b:1),
% 3.37/3.71 skol53 [166, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.37/3.71 skol54 [167, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.37/3.71 skol55 [168, 0] (w:1, o:28, a:1, s:1, b:1).
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Starting Search:
% 3.37/3.71
% 3.37/3.71 *** allocated 22500 integers for clauses
% 3.37/3.71 *** allocated 33750 integers for clauses
% 3.37/3.71 *** allocated 50625 integers for clauses
% 3.37/3.71 *** allocated 22500 integers for termspace/termends
% 3.37/3.71 *** allocated 75937 integers for clauses
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 33750 integers for termspace/termends
% 3.37/3.71 *** allocated 113905 integers for clauses
% 3.37/3.71 *** allocated 50625 integers for termspace/termends
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 3576
% 3.37/3.71 Kept: 2028
% 3.37/3.71 Inuse: 234
% 3.37/3.71 Deleted: 5
% 3.37/3.71 Deletedinuse: 0
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 170857 integers for clauses
% 3.37/3.71 *** allocated 75937 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 256285 integers for clauses
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 7205
% 3.37/3.71 Kept: 4063
% 3.37/3.71 Inuse: 405
% 3.37/3.71 Deleted: 9
% 3.37/3.71 Deletedinuse: 4
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 113905 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 384427 integers for clauses
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 10476
% 3.37/3.71 Kept: 6126
% 3.37/3.71 Inuse: 526
% 3.37/3.71 Deleted: 9
% 3.37/3.71 Deletedinuse: 4
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 170857 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 576640 integers for clauses
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 13641
% 3.37/3.71 Kept: 8128
% 3.37/3.71 Inuse: 647
% 3.37/3.71 Deleted: 9
% 3.37/3.71 Deletedinuse: 4
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 16966
% 3.37/3.71 Kept: 10178
% 3.37/3.71 Inuse: 693
% 3.37/3.71 Deleted: 9
% 3.37/3.71 Deletedinuse: 4
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 256285 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 864960 integers for clauses
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 23684
% 3.37/3.71 Kept: 12811
% 3.37/3.71 Inuse: 766
% 3.37/3.71 Deleted: 14
% 3.37/3.71 Deletedinuse: 9
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 32038
% 3.37/3.71 Kept: 14941
% 3.37/3.71 Inuse: 796
% 3.37/3.71 Deleted: 41
% 3.37/3.71 Deletedinuse: 36
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 384427 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 38169
% 3.37/3.71 Kept: 16941
% 3.37/3.71 Inuse: 860
% 3.37/3.71 Deleted: 45
% 3.37/3.71 Deletedinuse: 38
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 1297440 integers for clauses
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 47224
% 3.37/3.71 Kept: 19096
% 3.37/3.71 Inuse: 910
% 3.37/3.71 Deleted: 56
% 3.37/3.71 Deletedinuse: 40
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying clauses:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 56333
% 3.37/3.71 Kept: 21166
% 3.37/3.71 Inuse: 937
% 3.37/3.71 Deleted: 2532
% 3.37/3.71 Deletedinuse: 41
% 3.37/3.71
% 3.37/3.71 *** allocated 576640 integers for termspace/termends
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 67749
% 3.37/3.71 Kept: 23166
% 3.37/3.71 Inuse: 970
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 76314
% 3.37/3.71 Kept: 25450
% 3.37/3.71 Inuse: 1008
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 83643
% 3.37/3.71 Kept: 27661
% 3.37/3.71 Inuse: 1053
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 1946160 integers for clauses
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 91982
% 3.37/3.71 Kept: 29887
% 3.37/3.71 Inuse: 1068
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 *** allocated 864960 integers for termspace/termends
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 103143
% 3.37/3.71 Kept: 32753
% 3.37/3.71 Inuse: 1088
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 112562
% 3.37/3.71 Kept: 34985
% 3.37/3.71 Inuse: 1108
% 3.37/3.71 Deleted: 2540
% 3.37/3.71 Deletedinuse: 45
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 123559
% 3.37/3.71 Kept: 37124
% 3.37/3.71 Inuse: 1126
% 3.37/3.71 Deleted: 2548
% 3.37/3.71 Deletedinuse: 51
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Intermediate Status:
% 3.37/3.71 Generated: 132870
% 3.37/3.71 Kept: 39165
% 3.37/3.71 Inuse: 1161
% 3.37/3.71 Deleted: 2549
% 3.37/3.71 Deletedinuse: 51
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying inuse:
% 3.37/3.71 Done
% 3.37/3.71
% 3.37/3.71 Resimplifying clauses:
% 3.37/3.71
% 3.37/3.71 Bliksems!, er is een bewijs:
% 3.37/3.71 % SZS status Theorem
% 3.37/3.71 % SZS output start Refutation
% 3.37/3.71
% 3.37/3.71 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.37/3.71 (281) {G1,W24,D6,L6,V4,M6} I;d(280) { ! ssItem( X ), ! ssItem( Y ), !
% 3.37/3.71 ssList( Z ), ! ssList( T ), X = Y, ! app( app( app( Z, cons( X, nil ) ),
% 3.37/3.71 cons( Y, nil ) ), T ) ==> skol46 }.
% 3.37/3.71 (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 3.37/3.71 (283) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 3.37/3.71 (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 3.37/3.71 (285) {G0,W2,D2,L1,V0,M1} I { ssList( skol55 ) }.
% 3.37/3.71 (286) {G0,W13,D6,L1,V0,M1} I { app( app( app( skol54, cons( skol52, nil ) )
% 3.37/3.71 , cons( skol53, nil ) ), skol55 ) ==> skol46 }.
% 3.37/3.71 (287) {G0,W3,D2,L1,V0,M1} I { ! skol53 ==> skol52 }.
% 3.37/3.71 (38247) {G2,W9,D2,L4,V0,M4} R(286,281);r(282) { ! ssItem( skol53 ), !
% 3.37/3.71 ssList( skol54 ), ! ssList( skol55 ), skol53 ==> skol52 }.
% 3.37/3.71 (40411) {G3,W0,D0,L0,V0,M0} S(38247);r(283);r(284);r(285);r(287) { }.
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 % SZS output end Refutation
% 3.37/3.71 found a proof!
% 3.37/3.71
% 3.37/3.71
% 3.37/3.71 Unprocessed initial clauses:
% 3.37/3.71
% 3.37/3.71 (40413) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.37/3.71 , ! X = Y }.
% 3.37/3.71 (40414) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40415) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.37/3.71 (40416) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.37/3.71 (40417) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.37/3.71 (40418) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.37/3.71 , Y ), ssList( skol2( Z, T ) ) }.
% 3.37/3.71 (40419) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.37/3.71 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.37/3.71 (40420) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.37/3.71 (40421) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.37/3.71 ) ) }.
% 3.37/3.71 (40422) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.37/3.71 ( X, Y, Z ) ) ) = X }.
% 3.37/3.71 (40423) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.37/3.71 , alpha1( X, Y, Z ) }.
% 3.37/3.71 (40424) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.37/3.71 skol4( Y ) ) }.
% 3.37/3.71 (40425) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.37/3.71 skol4( X ), nil ) = X }.
% 3.37/3.71 (40426) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.37/3.71 nil ) = X, singletonP( X ) }.
% 3.37/3.71 (40427) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.37/3.71 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.37/3.71 (40428) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.37/3.71 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.37/3.71 (40429) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.37/3.71 (40430) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.37/3.71 , Y ), ssList( skol6( Z, T ) ) }.
% 3.37/3.71 (40431) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.37/3.71 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.37/3.71 (40432) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.37/3.71 (40433) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.37/3.71 , Y ), ssList( skol7( Z, T ) ) }.
% 3.37/3.71 (40434) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.37/3.71 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.37/3.71 (40435) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.37/3.71 (40436) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.37/3.71 ) ) }.
% 3.37/3.71 (40437) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.37/3.71 skol8( X, Y, Z ) ) = X }.
% 3.37/3.71 (40438) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.37/3.71 , alpha2( X, Y, Z ) }.
% 3.37/3.71 (40439) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.37/3.71 Y ), alpha3( X, Y ) }.
% 3.37/3.71 (40440) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.37/3.71 cyclefreeP( X ) }.
% 3.37/3.71 (40441) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.37/3.71 cyclefreeP( X ) }.
% 3.37/3.71 (40442) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40443) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.37/3.71 (40444) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40445) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha28( X, Y, Z, T ) }.
% 3.37/3.71 (40446) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40447) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.37/3.71 alpha21( X, Y, Z ) }.
% 3.37/3.71 (40448) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha35( X, Y, Z, T, U ) }.
% 3.37/3.71 (40449) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40450) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.37/3.71 ), alpha28( X, Y, Z, T ) }.
% 3.37/3.71 (40451) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha41( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40452) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha35( X, Y, Z, T, U ) }.
% 3.37/3.71 (40453) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.37/3.71 (40454) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.37/3.71 (40455) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40456) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.37/3.71 W ) }.
% 3.37/3.71 (40457) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.37/3.71 X ) }.
% 3.37/3.71 (40458) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.37/3.71 (40459) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.37/3.71 (40460) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.37/3.71 ( Y ), alpha4( X, Y ) }.
% 3.37/3.71 (40461) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.37/3.71 totalorderP( X ) }.
% 3.37/3.71 (40462) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.37/3.71 totalorderP( X ) }.
% 3.37/3.71 (40463) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40464) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.37/3.71 (40465) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40466) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha29( X, Y, Z, T ) }.
% 3.37/3.71 (40467) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40468) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.37/3.71 alpha22( X, Y, Z ) }.
% 3.37/3.71 (40469) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha36( X, Y, Z, T, U ) }.
% 3.37/3.71 (40470) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40471) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.37/3.71 ), alpha29( X, Y, Z, T ) }.
% 3.37/3.71 (40472) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha42( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40473) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha36( X, Y, Z, T, U ) }.
% 3.37/3.71 (40474) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.37/3.71 (40475) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.37/3.71 (40476) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40477) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.37/3.71 W ) }.
% 3.37/3.71 (40478) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.37/3.71 }.
% 3.37/3.71 (40479) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.37/3.71 (40480) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.37/3.71 (40481) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.37/3.71 ( Y ), alpha5( X, Y ) }.
% 3.37/3.71 (40482) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.37/3.71 strictorderP( X ) }.
% 3.37/3.71 (40483) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.37/3.71 strictorderP( X ) }.
% 3.37/3.71 (40484) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40485) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.37/3.71 (40486) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40487) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha30( X, Y, Z, T ) }.
% 3.37/3.71 (40488) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40489) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.37/3.71 alpha23( X, Y, Z ) }.
% 3.37/3.71 (40490) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha37( X, Y, Z, T, U ) }.
% 3.37/3.71 (40491) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40492) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.37/3.71 ), alpha30( X, Y, Z, T ) }.
% 3.37/3.71 (40493) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha43( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40494) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha37( X, Y, Z, T, U ) }.
% 3.37/3.71 (40495) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.37/3.71 (40496) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.37/3.71 (40497) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40498) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.37/3.71 W ) }.
% 3.37/3.71 (40499) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.37/3.71 }.
% 3.37/3.71 (40500) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.37/3.71 (40501) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.37/3.71 (40502) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.37/3.71 ssItem( Y ), alpha6( X, Y ) }.
% 3.37/3.71 (40503) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.37/3.71 totalorderedP( X ) }.
% 3.37/3.71 (40504) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.37/3.71 totalorderedP( X ) }.
% 3.37/3.71 (40505) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40506) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.37/3.71 (40507) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40508) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha24( X, Y, Z, T ) }.
% 3.37/3.71 (40509) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40510) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.37/3.71 alpha15( X, Y, Z ) }.
% 3.37/3.71 (40511) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha31( X, Y, Z, T, U ) }.
% 3.37/3.71 (40512) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40513) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.37/3.71 ), alpha24( X, Y, Z, T ) }.
% 3.37/3.71 (40514) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha38( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40515) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha31( X, Y, Z, T, U ) }.
% 3.37/3.71 (40516) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.37/3.71 (40517) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.37/3.71 (40518) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40519) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.37/3.71 }.
% 3.37/3.71 (40520) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.37/3.71 ssItem( Y ), alpha7( X, Y ) }.
% 3.37/3.71 (40521) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.37/3.71 strictorderedP( X ) }.
% 3.37/3.71 (40522) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.37/3.71 strictorderedP( X ) }.
% 3.37/3.71 (40523) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40524) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.37/3.71 (40525) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40526) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha25( X, Y, Z, T ) }.
% 3.37/3.71 (40527) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40528) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.37/3.71 alpha16( X, Y, Z ) }.
% 3.37/3.71 (40529) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha32( X, Y, Z, T, U ) }.
% 3.37/3.71 (40530) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40531) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.37/3.71 ), alpha25( X, Y, Z, T ) }.
% 3.37/3.71 (40532) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha39( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40533) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha32( X, Y, Z, T, U ) }.
% 3.37/3.71 (40534) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.37/3.71 (40535) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.37/3.71 (40536) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40537) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.37/3.71 }.
% 3.37/3.71 (40538) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.37/3.71 ssItem( Y ), alpha8( X, Y ) }.
% 3.37/3.71 (40539) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.37/3.71 duplicatefreeP( X ) }.
% 3.37/3.71 (40540) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.37/3.71 duplicatefreeP( X ) }.
% 3.37/3.71 (40541) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40542) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.37/3.71 (40543) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40544) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha26( X, Y, Z, T ) }.
% 3.37/3.71 (40545) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40546) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.37/3.71 alpha17( X, Y, Z ) }.
% 3.37/3.71 (40547) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha33( X, Y, Z, T, U ) }.
% 3.37/3.71 (40548) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40549) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.37/3.71 ), alpha26( X, Y, Z, T ) }.
% 3.37/3.71 (40550) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.37/3.71 alpha40( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40551) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.37/3.71 alpha33( X, Y, Z, T, U ) }.
% 3.37/3.71 (40552) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.37/3.71 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.37/3.71 (40553) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.37/3.71 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.37/3.71 (40554) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.37/3.71 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40555) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.37/3.71 (40556) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.37/3.71 ( Y ), alpha9( X, Y ) }.
% 3.37/3.71 (40557) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.37/3.71 equalelemsP( X ) }.
% 3.37/3.71 (40558) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.37/3.71 equalelemsP( X ) }.
% 3.37/3.71 (40559) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.37/3.71 , Y, Z ) }.
% 3.37/3.71 (40560) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.37/3.71 (40561) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40562) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.37/3.71 alpha27( X, Y, Z, T ) }.
% 3.37/3.71 (40563) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.37/3.71 Z ) }.
% 3.37/3.71 (40564) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.37/3.71 alpha18( X, Y, Z ) }.
% 3.37/3.71 (40565) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.37/3.71 alpha34( X, Y, Z, T, U ) }.
% 3.37/3.71 (40566) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.37/3.71 X, Y, Z, T ) }.
% 3.37/3.71 (40567) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.37/3.71 ), alpha27( X, Y, Z, T ) }.
% 3.37/3.71 (40568) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.37/3.71 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.37/3.71 (40569) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.37/3.71 alpha34( X, Y, Z, T, U ) }.
% 3.37/3.71 (40570) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.37/3.71 (40571) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.37/3.71 , ! X = Y }.
% 3.37/3.71 (40572) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.37/3.71 , Y ) }.
% 3.37/3.71 (40573) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.37/3.71 Y, X ) ) }.
% 3.37/3.71 (40574) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.37/3.71 (40575) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.37/3.71 = X }.
% 3.37/3.71 (40576) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.37/3.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.37/3.71 (40577) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.37/3.71 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.37/3.71 (40578) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.37/3.71 ) }.
% 3.37/3.71 (40579) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.37/3.71 ) }.
% 3.37/3.71 (40580) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.37/3.71 skol43( X ) ) = X }.
% 3.37/3.71 (40581) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.37/3.71 Y, X ) }.
% 3.37/3.71 (40582) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.37/3.71 }.
% 3.37/3.71 (40583) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.37/3.71 X ) ) = Y }.
% 3.37/3.71 (40584) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.37/3.71 }.
% 3.37/3.71 (40585) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.37/3.71 X ) ) = X }.
% 3.37/3.71 (40586) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.37/3.71 , Y ) ) }.
% 3.37/3.71 (40587) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.37/3.71 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.37/3.71 (40588) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.37/3.71 (40589) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.37/3.71 , ! leq( Y, X ), X = Y }.
% 3.37/3.71 (40590) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.37/3.71 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.37/3.71 (40591) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.37/3.71 (40592) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.37/3.71 , leq( Y, X ) }.
% 3.37/3.71 (40593) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.37/3.71 , geq( X, Y ) }.
% 3.37/3.71 (40594) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.37/3.71 , ! lt( Y, X ) }.
% 3.37/3.71 (40595) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.37/3.71 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.37/3.71 (40596) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.37/3.71 , lt( Y, X ) }.
% 3.37/3.71 (40597) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.37/3.71 , gt( X, Y ) }.
% 3.37/3.71 (40598) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.37/3.71 (40599) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.37/3.71 (40600) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.37/3.71 (40601) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.37/3.71 (40602) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.37/3.71 (40603) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.37/3.71 (40604) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.37/3.71 (40605) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.37/3.71 (40606) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.37/3.71 (40607) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.37/3.71 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.37/3.71 (40608) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.37/3.71 (40609) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.37/3.71 (40610) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.37/3.71 (40611) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.37/3.71 , T ) }.
% 3.37/3.71 (40612) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.37/3.71 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.37/3.71 cons( Y, T ) ) }.
% 3.37/3.71 (40613) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.37/3.71 (40614) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.37/3.71 X }.
% 3.37/3.71 (40615) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.37/3.71 ) }.
% 3.37/3.71 (40616) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.37/3.71 (40617) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.37/3.71 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.37/3.71 (40618) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.37/3.71 (40619) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.37/3.71 (40620) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.37/3.71 (40621) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.37/3.71 }.
% 3.37/3.71 (40622) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.37/3.71 }.
% 3.37/3.71 (40623) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.37/3.71 (40624) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.37/3.71 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.37/3.71 (40625) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.37/3.71 (40626) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.37/3.71 }.
% 3.37/3.71 (40627) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.37/3.71 (40628) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.37/3.71 }.
% 3.37/3.71 (40629) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.37/3.71 }.
% 3.37/3.71 (40630) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.37/3.71 }.
% 3.37/3.71 (40631) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.37/3.71 (40632) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.37/3.71 }.
% 3.37/3.71 (40633) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.37/3.71 (40634) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.37/3.71 ) }.
% 3.37/3.71 (40635) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.37/3.71 (40636) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.37/3.71 ) }.
% 3.37/3.71 (40637) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.37/3.71 (40638) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.37/3.71 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.37/3.71 (40639) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.37/3.71 totalorderedP( cons( X, Y ) ) }.
% 3.37/3.71 (40640) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.37/3.71 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.37/3.71 (40641) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.37/3.71 (40642) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.37/3.71 (40643) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.37/3.71 }.
% 3.37/3.71 (40644) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.37/3.71 (40645) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.37/3.71 (40646) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.37/3.71 alpha19( X, Y ) }.
% 3.37/3.71 (40647) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.37/3.71 ) ) }.
% 3.37/3.71 (40648) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.37/3.71 (40649) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.37/3.71 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.37/3.71 (40650) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.37/3.71 strictorderedP( cons( X, Y ) ) }.
% 3.37/3.71 (40651) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.37/3.71 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.37/3.71 (40652) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.37/3.71 (40653) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.37/3.71 (40654) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.37/3.71 }.
% 3.37/3.71 (40655) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.37/3.71 (40656) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.37/3.71 (40657) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.37/3.71 alpha20( X, Y ) }.
% 3.37/3.71 (40658) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.37/3.71 ) ) }.
% 3.37/3.71 (40659) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.37/3.71 (40660) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.37/3.71 }.
% 3.37/3.71 (40661) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.37/3.71 (40662) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.37/3.71 ) }.
% 3.37/3.71 (40663) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.37/3.71 ) }.
% 3.37/3.71 (40664) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.37/3.71 ) }.
% 3.37/3.71 (40665) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.37/3.71 ) }.
% 3.37/3.71 (40666) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.37/3.71 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.37/3.71 (40667) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.37/3.71 X ) ) = X }.
% 3.37/3.71 (40668) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.37/3.71 (40669) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.37/3.71 (40670) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.37/3.71 = app( cons( Y, nil ), X ) }.
% 3.37/3.71 (40671) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.37/3.71 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.37/3.71 (40672) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.37/3.71 X, Y ), nil = Y }.
% 3.37/3.71 (40673) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.37/3.71 X, Y ), nil = X }.
% 3.37/3.71 (40674) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.37/3.71 nil = X, nil = app( X, Y ) }.
% 3.37/3.71 (40675) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.37/3.71 (40676) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.37/3.71 app( X, Y ) ) = hd( X ) }.
% 3.37/3.71 (40677) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.37/3.71 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.37/3.71 (40678) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.37/3.71 , ! geq( Y, X ), X = Y }.
% 3.37/3.71 (40679) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.37/3.71 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.37/3.71 (40680) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.38/3.72 (40681) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.38/3.72 (40682) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.38/3.72 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.38/3.72 (40683) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.38/3.72 , X = Y, lt( X, Y ) }.
% 3.38/3.72 (40684) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.38/3.72 , ! X = Y }.
% 3.38/3.72 (40685) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.38/3.72 , leq( X, Y ) }.
% 3.38/3.72 (40686) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.38/3.72 ( X, Y ), lt( X, Y ) }.
% 3.38/3.72 (40687) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.38/3.72 , ! gt( Y, X ) }.
% 3.38/3.72 (40688) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.38/3.72 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.38/3.72 (40689) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.38/3.72 (40690) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.38/3.72 (40691) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.38/3.72 (40692) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.38/3.72 (40693) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.38/3.72 (40694) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.38/3.72 (40695) {G0,W24,D6,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.38/3.72 , ! ssList( T ), X = Y, ! app( app( app( Z, cons( X, nil ) ), cons( Y,
% 3.38/3.72 nil ) ), T ) = skol50 }.
% 3.38/3.72 (40696) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 3.38/3.72 (40697) {G0,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 3.38/3.72 (40698) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 3.38/3.72 (40699) {G0,W2,D2,L1,V0,M1} { ssList( skol55 ) }.
% 3.38/3.72 (40700) {G0,W13,D6,L1,V0,M1} { app( app( app( skol54, cons( skol52, nil )
% 3.38/3.72 ), cons( skol53, nil ) ), skol55 ) = skol46 }.
% 3.38/3.72 (40701) {G0,W3,D2,L1,V0,M1} { ! skol52 = skol53 }.
% 3.38/3.72
% 3.38/3.72
% 3.38/3.72 Total Proof:
% 3.38/3.72
% 3.38/3.72 eqswap: (41049) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.38/3.72 parent0[0]: (40694) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.38/3.72 parent0: (41049) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 paramod: (41708) {G1,W24,D6,L6,V4,M6} { ! app( app( app( X, cons( Y, nil )
% 3.38/3.72 ), cons( Z, nil ) ), T ) = skol46, ! ssItem( Y ), ! ssItem( Z ), !
% 3.38/3.72 ssList( X ), ! ssList( T ), Y = Z }.
% 3.38/3.72 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.38/3.72 parent1[5; 13]: (40695) {G0,W24,D6,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y
% 3.38/3.72 ), ! ssList( Z ), ! ssList( T ), X = Y, ! app( app( app( Z, cons( X, nil
% 3.38/3.72 ) ), cons( Y, nil ) ), T ) = skol50 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 X := Y
% 3.38/3.72 Y := Z
% 3.38/3.72 Z := X
% 3.38/3.72 T := T
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (281) {G1,W24,D6,L6,V4,M6} I;d(280) { ! ssItem( X ), ! ssItem
% 3.38/3.72 ( Y ), ! ssList( Z ), ! ssList( T ), X = Y, ! app( app( app( Z, cons( X,
% 3.38/3.72 nil ) ), cons( Y, nil ) ), T ) ==> skol46 }.
% 3.38/3.72 parent0: (41708) {G1,W24,D6,L6,V4,M6} { ! app( app( app( X, cons( Y, nil )
% 3.38/3.72 ), cons( Z, nil ) ), T ) = skol46, ! ssItem( Y ), ! ssItem( Z ), !
% 3.38/3.72 ssList( X ), ! ssList( T ), Y = Z }.
% 3.38/3.72 substitution0:
% 3.38/3.72 X := Z
% 3.38/3.72 Y := X
% 3.38/3.72 Z := Y
% 3.38/3.72 T := T
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 5
% 3.38/3.72 1 ==> 0
% 3.38/3.72 2 ==> 1
% 3.38/3.72 3 ==> 2
% 3.38/3.72 4 ==> 3
% 3.38/3.72 5 ==> 4
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 3.38/3.72 parent0: (40696) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 3.38/3.72 parent0: (40697) {G0,W2,D2,L1,V0,M1} { ssItem( skol53 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 3.38/3.72 parent0: (40698) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (285) {G0,W2,D2,L1,V0,M1} I { ssList( skol55 ) }.
% 3.38/3.72 parent0: (40699) {G0,W2,D2,L1,V0,M1} { ssList( skol55 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (286) {G0,W13,D6,L1,V0,M1} I { app( app( app( skol54, cons(
% 3.38/3.72 skol52, nil ) ), cons( skol53, nil ) ), skol55 ) ==> skol46 }.
% 3.38/3.72 parent0: (40700) {G0,W13,D6,L1,V0,M1} { app( app( app( skol54, cons(
% 3.38/3.72 skol52, nil ) ), cons( skol53, nil ) ), skol55 ) = skol46 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 eqswap: (43876) {G0,W3,D2,L1,V0,M1} { ! skol53 = skol52 }.
% 3.38/3.72 parent0[0]: (40701) {G0,W3,D2,L1,V0,M1} { ! skol52 = skol53 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (287) {G0,W3,D2,L1,V0,M1} I { ! skol53 ==> skol52 }.
% 3.38/3.72 parent0: (43876) {G0,W3,D2,L1,V0,M1} { ! skol53 = skol52 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 0
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 eqswap: (43877) {G0,W13,D6,L1,V0,M1} { skol46 ==> app( app( app( skol54,
% 3.38/3.72 cons( skol52, nil ) ), cons( skol53, nil ) ), skol55 ) }.
% 3.38/3.72 parent0[0]: (286) {G0,W13,D6,L1,V0,M1} I { app( app( app( skol54, cons(
% 3.38/3.72 skol52, nil ) ), cons( skol53, nil ) ), skol55 ) ==> skol46 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 eqswap: (43879) {G1,W24,D6,L6,V4,M6} { ! skol46 ==> app( app( app( X, cons
% 3.38/3.72 ( Y, nil ) ), cons( Z, nil ) ), T ), ! ssItem( Y ), ! ssItem( Z ), !
% 3.38/3.72 ssList( X ), ! ssList( T ), Y = Z }.
% 3.38/3.72 parent0[5]: (281) {G1,W24,D6,L6,V4,M6} I;d(280) { ! ssItem( X ), ! ssItem(
% 3.38/3.72 Y ), ! ssList( Z ), ! ssList( T ), X = Y, ! app( app( app( Z, cons( X,
% 3.38/3.72 nil ) ), cons( Y, nil ) ), T ) ==> skol46 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 X := Y
% 3.38/3.72 Y := Z
% 3.38/3.72 Z := X
% 3.38/3.72 T := T
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 eqswap: (43880) {G1,W24,D6,L6,V4,M6} { Y = X, ! skol46 ==> app( app( app(
% 3.38/3.72 Z, cons( X, nil ) ), cons( Y, nil ) ), T ), ! ssItem( X ), ! ssItem( Y )
% 3.38/3.72 , ! ssList( Z ), ! ssList( T ) }.
% 3.38/3.72 parent0[5]: (43879) {G1,W24,D6,L6,V4,M6} { ! skol46 ==> app( app( app( X,
% 3.38/3.72 cons( Y, nil ) ), cons( Z, nil ) ), T ), ! ssItem( Y ), ! ssItem( Z ), !
% 3.38/3.72 ssList( X ), ! ssList( T ), Y = Z }.
% 3.38/3.72 substitution0:
% 3.38/3.72 X := Z
% 3.38/3.72 Y := X
% 3.38/3.72 Z := Y
% 3.38/3.72 T := T
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43881) {G1,W11,D2,L5,V0,M5} { skol53 = skol52, ! ssItem(
% 3.38/3.72 skol52 ), ! ssItem( skol53 ), ! ssList( skol54 ), ! ssList( skol55 ) }.
% 3.38/3.72 parent0[1]: (43880) {G1,W24,D6,L6,V4,M6} { Y = X, ! skol46 ==> app( app(
% 3.38/3.72 app( Z, cons( X, nil ) ), cons( Y, nil ) ), T ), ! ssItem( X ), ! ssItem
% 3.38/3.72 ( Y ), ! ssList( Z ), ! ssList( T ) }.
% 3.38/3.72 parent1[0]: (43877) {G0,W13,D6,L1,V0,M1} { skol46 ==> app( app( app(
% 3.38/3.72 skol54, cons( skol52, nil ) ), cons( skol53, nil ) ), skol55 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 X := skol52
% 3.38/3.72 Y := skol53
% 3.38/3.72 Z := skol54
% 3.38/3.72 T := skol55
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43882) {G1,W9,D2,L4,V0,M4} { skol53 = skol52, ! ssItem(
% 3.38/3.72 skol53 ), ! ssList( skol54 ), ! ssList( skol55 ) }.
% 3.38/3.72 parent0[1]: (43881) {G1,W11,D2,L5,V0,M5} { skol53 = skol52, ! ssItem(
% 3.38/3.72 skol52 ), ! ssItem( skol53 ), ! ssList( skol54 ), ! ssList( skol55 ) }.
% 3.38/3.72 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (38247) {G2,W9,D2,L4,V0,M4} R(286,281);r(282) { ! ssItem(
% 3.38/3.72 skol53 ), ! ssList( skol54 ), ! ssList( skol55 ), skol53 ==> skol52 }.
% 3.38/3.72 parent0: (43882) {G1,W9,D2,L4,V0,M4} { skol53 = skol52, ! ssItem( skol53 )
% 3.38/3.72 , ! ssList( skol54 ), ! ssList( skol55 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 0 ==> 3
% 3.38/3.72 1 ==> 0
% 3.38/3.72 2 ==> 1
% 3.38/3.72 3 ==> 2
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43886) {G1,W7,D2,L3,V0,M3} { ! ssList( skol54 ), ! ssList(
% 3.38/3.72 skol55 ), skol53 ==> skol52 }.
% 3.38/3.72 parent0[0]: (38247) {G2,W9,D2,L4,V0,M4} R(286,281);r(282) { ! ssItem(
% 3.38/3.72 skol53 ), ! ssList( skol54 ), ! ssList( skol55 ), skol53 ==> skol52 }.
% 3.38/3.72 parent1[0]: (283) {G0,W2,D2,L1,V0,M1} I { ssItem( skol53 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43887) {G1,W5,D2,L2,V0,M2} { ! ssList( skol55 ), skol53 ==>
% 3.38/3.72 skol52 }.
% 3.38/3.72 parent0[0]: (43886) {G1,W7,D2,L3,V0,M3} { ! ssList( skol54 ), ! ssList(
% 3.38/3.72 skol55 ), skol53 ==> skol52 }.
% 3.38/3.72 parent1[0]: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43888) {G1,W3,D2,L1,V0,M1} { skol53 ==> skol52 }.
% 3.38/3.72 parent0[0]: (43887) {G1,W5,D2,L2,V0,M2} { ! ssList( skol55 ), skol53 ==>
% 3.38/3.72 skol52 }.
% 3.38/3.72 parent1[0]: (285) {G0,W2,D2,L1,V0,M1} I { ssList( skol55 ) }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 resolution: (43889) {G1,W0,D0,L0,V0,M0} { }.
% 3.38/3.72 parent0[0]: (287) {G0,W3,D2,L1,V0,M1} I { ! skol53 ==> skol52 }.
% 3.38/3.72 parent1[0]: (43888) {G1,W3,D2,L1,V0,M1} { skol53 ==> skol52 }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 substitution1:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 subsumption: (40411) {G3,W0,D0,L0,V0,M0} S(38247);r(283);r(284);r(285);r(
% 3.38/3.72 287) { }.
% 3.38/3.72 parent0: (43889) {G1,W0,D0,L0,V0,M0} { }.
% 3.38/3.72 substitution0:
% 3.38/3.72 end
% 3.38/3.72 permutation0:
% 3.38/3.72 end
% 3.38/3.72
% 3.38/3.72 Proof check complete!
% 3.38/3.72
% 3.38/3.72 Memory use:
% 3.38/3.72
% 3.38/3.72 space for terms: 721203
% 3.38/3.73 space for clauses: 1789973
% 3.38/3.73
% 3.38/3.73
% 3.38/3.73 clauses generated: 138705
% 3.38/3.73 clauses kept: 40412
% 3.38/3.73 clauses selected: 1194
% 3.38/3.73 clauses deleted: 2638
% 3.38/3.73 clauses inuse deleted: 51
% 3.38/3.73
% 3.38/3.73 subsentry: 222672
% 3.38/3.73 literals s-matched: 131675
% 3.38/3.73 literals matched: 112039
% 3.38/3.73 full subsumption: 58298
% 3.38/3.73
% 3.38/3.73 checksum: -881000392
% 3.38/3.73
% 3.38/3.73
% 3.38/3.73 Bliksem ended
%------------------------------------------------------------------------------