TSTP Solution File: SWC009+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 19:32:56 EDT 2022
% Result : Theorem 3.92s 4.34s
% Output : Refutation 3.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC009+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.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 07:48:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.75/1.15 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.75/1.15 { ssItem( skol1 ) }.
% 0.75/1.15 { ssItem( skol47 ) }.
% 0.75/1.15 { ! skol1 = skol47 }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.75/1.15 Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.75/1.15 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.75/1.15 ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.75/1.15 ) = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.75/1.15 = X }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.75/1.15 ( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.75/1.15 }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.75/1.15 , Y ) ) }.
% 0.75/1.15 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.75/1.15 segmentP( X, Y ) }.
% 0.75/1.15 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.75/1.15 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.75/1.15 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.75/1.15 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.75/1.15 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.75/1.15 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.75/1.15 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.75/1.15 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha12( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.75/1.15 { leq( X, Y ), alpha12( X, Y ) }.
% 0.75/1.15 { leq( Y, X ), alpha12( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.75/1.15 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.75/1.15 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.75/1.15 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.75/1.15 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha13( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.75/1.15 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.75/1.15 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.75/1.15 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.75/1.15 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.75/1.15 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.75/1.15 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, alpha14( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.75/1.15 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.75/1.15 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.75/1.15 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.75/1.15 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.75/1.15 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.75/1.15 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, leq( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.75/1.15 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.75/1.15 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.75/1.15 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.75/1.15 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.75/1.15 .
% 0.75/1.15 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.75/1.15 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.75/1.15 , U ) }.
% 0.75/1.15 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.15 ) ) = X, lt( Y, Z ) }.
% 0.75/1.15 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.75/1.15 W ) }.
% 0.75/1.15 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.75/1.15 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.75/1.15 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.75/1.15 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.75/1.15 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.75/1.15 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.75/1.15 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.75/1.15 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.75/1.15 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.75/1.15 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.75/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.75/1.16 .
% 0.75/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.75/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.75/1.16 , U ) }.
% 0.75/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.75/1.16 ) ) = X, ! Y = Z }.
% 0.75/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.75/1.16 W ) }.
% 0.75/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.75/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.75/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.75/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.75/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.75/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.75/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.75/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.75/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.75/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.75/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.75/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.75/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.75/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.75/1.16 Z }.
% 0.75/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.75/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.75/1.16 { ssList( nil ) }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.75/1.16 ) = cons( T, Y ), Z = T }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.75/1.16 ) = cons( T, Y ), Y = X }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.75/1.16 ( cons( Z, Y ), X ) }.
% 0.75/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.75/1.16 , leq( X, Z ) }.
% 0.75/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.75/1.16 lt( X, Z ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.75/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.75/1.16 app( Y, Z ), X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.75/1.16 app( Y, Z ), X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.75/1.16 , X = Y, memberP( Z, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.75/1.16 ), X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.75/1.16 cons( Y, Z ), X ) }.
% 0.75/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.75/1.16 { ! singletonP( nil ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.75/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.75/1.16 = Y }.
% 0.75/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.75/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.75/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.75/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.75/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.75/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.75/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.75/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.75/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.75/1.16 Y }.
% 0.75/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.75/1.16 ( app( Z, X ), Y ) }.
% 0.75/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.75/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.75/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.75/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.75/1.16 Y }.
% 0.75/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.75/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.75/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.75/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.75/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.75/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.75/1.16 { cyclefreeP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.75/1.16 { totalorderP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.75/1.16 { strictorderP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.75/1.16 { totalorderedP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.75/1.16 alpha10( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.75/1.16 .
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.75/1.16 Y ) ) }.
% 0.75/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.75/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.75/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.75/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.75/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.75/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.75/1.16 { strictorderedP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.75/1.16 alpha11( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.75/1.16 .
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.75/1.16 , Y ) ) }.
% 0.75/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.75/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.75/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.75/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.75/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.75/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.75/1.16 { duplicatefreeP( nil ) }.
% 0.75/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.75/1.16 { equalelemsP( nil ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.75/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.75/1.16 ( Y ) = tl( X ), Y = X }.
% 0.75/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.75/1.16 , Z = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.75/1.16 , Z = X }.
% 0.75/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.75/1.16 ( X, app( Y, Z ) ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.75/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.75/1.16 Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.75/1.16 , geq( X, Z ) }.
% 0.75/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.75/1.16 , lt( X, Z ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.75/1.16 gt( X, Z ) }.
% 0.75/1.16 { ssList( skol46 ) }.
% 0.75/1.16 { ssList( skol49 ) }.
% 0.75/1.16 { ssList( skol50 ) }.
% 0.75/1.16 { ssList( skol51 ) }.
% 0.75/1.16 { skol49 = skol51 }.
% 0.75/1.16 { skol46 = skol50 }.
% 0.75/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( app( X, Y ), Z ) =
% 0.75/1.16 skol49, ! app( X, Z ) = skol46 }.
% 0.75/1.16 { ssList( skol52 ) }.
% 0.75/1.16 { app( skol50, skol52 ) = skol51 }.
% 0.75/1.16 { strictorderedP( skol50 ) }.
% 0.75/1.16 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.75/1.16 ssItem( Z ), ! ssList( T ), ! app( T, cons( Z, nil ) ) = skol50, ! lt( Z
% 0.75/1.16 , X ) }.
% 0.75/1.16 { nil = skol51, ! nil = skol50 }.
% 0.75/1.16
% 0.75/1.16 *** allocated 15000 integers for clauses
% 0.75/1.16 percentage equality = 0.133803, percentage horn = 0.763066
% 0.75/1.16 This is a problem with some equality
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16
% 0.75/1.16 Options Used:
% 0.75/1.16
% 0.75/1.16 useres = 1
% 0.75/1.16 useparamod = 1
% 0.75/1.16 useeqrefl = 1
% 0.75/1.16 useeqfact = 1
% 0.75/1.16 usefactor = 1
% 0.75/1.16 usesimpsplitting = 0
% 0.75/1.16 usesimpdemod = 5
% 0.75/1.16 usesimpres = 3
% 0.75/1.16
% 0.75/1.16 resimpinuse = 1000
% 0.75/1.16 resimpclauses = 20000
% 0.75/1.16 substype = eqrewr
% 0.75/1.16 backwardsubs = 1
% 0.75/1.16 selectoldest = 5
% 0.75/1.16
% 0.75/1.16 litorderings [0] = split
% 0.75/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.16
% 0.75/1.16 termordering = kbo
% 0.75/1.16
% 0.75/1.16 litapriori = 0
% 0.75/1.16 termapriori = 1
% 0.75/1.16 litaposteriori = 0
% 0.75/1.16 termaposteriori = 0
% 0.75/1.16 demodaposteriori = 0
% 0.75/1.16 ordereqreflfact = 0
% 0.75/1.16
% 0.75/1.16 litselect = negord
% 0.75/1.16
% 0.75/1.16 maxweight = 15
% 0.75/1.16 maxdepth = 30000
% 0.75/1.16 maxlength = 115
% 0.75/1.16 maxnrvars = 195
% 0.75/1.16 excuselevel = 1
% 0.75/1.16 increasemaxweight = 1
% 0.75/1.16
% 0.75/1.16 maxselected = 10000000
% 0.75/1.16 maxnrclauses = 10000000
% 0.75/1.16
% 0.75/1.16 showgenerated = 0
% 0.75/1.16 showkept = 0
% 0.75/1.16 showselected = 0
% 0.75/1.16 showdeleted = 0
% 0.75/1.16 showresimp = 1
% 0.75/1.16 showstatus = 2000
% 0.75/1.16
% 0.75/1.16 prologoutput = 0
% 0.75/1.16 nrgoals = 5000000
% 0.75/1.16 totalproof = 1
% 0.75/1.16
% 0.75/1.16 Symbols occurring in the translation:
% 0.75/1.16
% 0.75/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.16 . [1, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.16 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.75/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.16 ssItem [36, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.75/1.16 neq [38, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.75/1.16 ssList [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.75/1.16 memberP [40, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.75/1.16 cons [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.75/1.16 app [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.75/1.16 singletonP [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 1.32/1.74 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 1.32/1.74 frontsegP [47, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.32/1.74 rearsegP [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 1.32/1.74 segmentP [49, 2] (w:1, o:87, a:1, s:1, b:0),
% 1.32/1.74 cyclefreeP [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 1.32/1.74 leq [53, 2] (w:1, o:79, a:1, s:1, b:0),
% 1.32/1.74 totalorderP [54, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.32/1.74 strictorderP [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 1.32/1.74 lt [56, 2] (w:1, o:80, a:1, s:1, b:0),
% 1.32/1.74 totalorderedP [57, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.32/1.74 strictorderedP [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 1.32/1.74 duplicatefreeP [59, 1] (w:1, o:51, a:1, s:1, b:0),
% 1.32/1.74 equalelemsP [60, 1] (w:1, o:52, a:1, s:1, b:0),
% 1.32/1.74 hd [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 1.32/1.74 tl [62, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.32/1.74 geq [63, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.32/1.74 gt [64, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.32/1.74 alpha1 [71, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.32/1.74 alpha2 [72, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.32/1.74 alpha3 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.32/1.74 alpha4 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.32/1.74 alpha5 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.32/1.74 alpha6 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.32/1.74 alpha7 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.32/1.74 alpha8 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.32/1.74 alpha9 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.32/1.74 alpha10 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.32/1.74 alpha11 [81, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.32/1.74 alpha12 [82, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.32/1.74 alpha13 [83, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.32/1.74 alpha14 [84, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.32/1.74 alpha15 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.32/1.74 alpha16 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.32/1.74 alpha17 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.32/1.74 alpha18 [88, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.32/1.74 alpha19 [89, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.32/1.74 alpha20 [90, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.32/1.74 alpha21 [91, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.32/1.74 alpha22 [92, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.32/1.74 alpha23 [93, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.32/1.74 alpha24 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.32/1.74 alpha25 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.32/1.74 alpha26 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.32/1.74 alpha27 [97, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.32/1.74 alpha28 [98, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.32/1.74 alpha29 [99, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.32/1.74 alpha30 [100, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.32/1.74 alpha31 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.32/1.74 alpha32 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.32/1.74 alpha33 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.32/1.74 alpha34 [104, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.32/1.74 alpha35 [105, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.32/1.74 alpha36 [106, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.32/1.74 alpha37 [107, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.32/1.74 alpha38 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.32/1.74 alpha39 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.32/1.74 alpha40 [110, 6] (w:1, o:162, a:1, s:1, b:1),
% 1.32/1.74 alpha41 [111, 6] (w:1, o:163, a:1, s:1, b:1),
% 1.32/1.74 alpha42 [112, 6] (w:1, o:164, a:1, s:1, b:1),
% 1.32/1.74 alpha43 [113, 6] (w:1, o:165, a:1, s:1, b:1),
% 1.32/1.74 skol1 [114, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.32/1.74 skol2 [115, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.32/1.74 skol3 [116, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.32/1.74 skol4 [117, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.32/1.74 skol5 [118, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.32/1.74 skol6 [119, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.32/1.74 skol7 [120, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.32/1.74 skol8 [121, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.32/1.74 skol9 [122, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.32/1.74 skol10 [123, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.32/1.74 skol11 [124, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.32/1.74 skol12 [125, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.32/1.74 skol13 [126, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.32/1.74 skol14 [127, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.32/1.74 skol15 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.32/1.74 skol16 [129, 3] (w:1, o:129, a:1, s:1, b:1),
% 1.32/1.74 skol17 [130, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.32/1.74 skol18 [131, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.32/1.74 skol19 [132, 1] (w:1, o:42, a:1, s:1, b:1),
% 3.92/4.34 skol20 [133, 2] (w:1, o:111, a:1, s:1, b:1),
% 3.92/4.34 skol21 [134, 3] (w:1, o:124, a:1, s:1, b:1),
% 3.92/4.34 skol22 [135, 4] (w:1, o:142, a:1, s:1, b:1),
% 3.92/4.34 skol23 [136, 5] (w:1, o:156, a:1, s:1, b:1),
% 3.92/4.34 skol24 [137, 1] (w:1, o:43, a:1, s:1, b:1),
% 3.92/4.34 skol25 [138, 2] (w:1, o:112, a:1, s:1, b:1),
% 3.92/4.34 skol26 [139, 3] (w:1, o:125, a:1, s:1, b:1),
% 3.92/4.34 skol27 [140, 4] (w:1, o:143, a:1, s:1, b:1),
% 3.92/4.34 skol28 [141, 5] (w:1, o:157, a:1, s:1, b:1),
% 3.92/4.34 skol29 [142, 1] (w:1, o:44, a:1, s:1, b:1),
% 3.92/4.34 skol30 [143, 2] (w:1, o:113, a:1, s:1, b:1),
% 3.92/4.34 skol31 [144, 3] (w:1, o:130, a:1, s:1, b:1),
% 3.92/4.34 skol32 [145, 4] (w:1, o:144, a:1, s:1, b:1),
% 3.92/4.34 skol33 [146, 5] (w:1, o:158, a:1, s:1, b:1),
% 3.92/4.34 skol34 [147, 1] (w:1, o:37, a:1, s:1, b:1),
% 3.92/4.34 skol35 [148, 2] (w:1, o:114, a:1, s:1, b:1),
% 3.92/4.34 skol36 [149, 3] (w:1, o:131, a:1, s:1, b:1),
% 3.92/4.34 skol37 [150, 4] (w:1, o:145, a:1, s:1, b:1),
% 3.92/4.34 skol38 [151, 5] (w:1, o:159, a:1, s:1, b:1),
% 3.92/4.34 skol39 [152, 1] (w:1, o:38, a:1, s:1, b:1),
% 3.92/4.34 skol40 [153, 2] (w:1, o:107, a:1, s:1, b:1),
% 3.92/4.34 skol41 [154, 3] (w:1, o:132, a:1, s:1, b:1),
% 3.92/4.34 skol42 [155, 4] (w:1, o:146, a:1, s:1, b:1),
% 3.92/4.34 skol43 [156, 1] (w:1, o:45, a:1, s:1, b:1),
% 3.92/4.34 skol44 [157, 1] (w:1, o:46, a:1, s:1, b:1),
% 3.92/4.34 skol45 [158, 1] (w:1, o:47, a:1, s:1, b:1),
% 3.92/4.34 skol46 [159, 0] (w:1, o:20, a:1, s:1, b:1),
% 3.92/4.34 skol47 [160, 0] (w:1, o:21, a:1, s:1, b:1),
% 3.92/4.34 skol48 [161, 1] (w:1, o:48, a:1, s:1, b:1),
% 3.92/4.34 skol49 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 3.92/4.34 skol50 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 3.92/4.34 skol51 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 3.92/4.34 skol52 [165, 0] (w:1, o:25, a:1, s:1, b:1).
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Starting Search:
% 3.92/4.34
% 3.92/4.34 *** allocated 22500 integers for clauses
% 3.92/4.34 *** allocated 33750 integers for clauses
% 3.92/4.34 *** allocated 50625 integers for clauses
% 3.92/4.34 *** allocated 22500 integers for termspace/termends
% 3.92/4.34 *** allocated 75937 integers for clauses
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 33750 integers for termspace/termends
% 3.92/4.34 *** allocated 113905 integers for clauses
% 3.92/4.34 *** allocated 50625 integers for termspace/termends
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 3752
% 3.92/4.34 Kept: 2020
% 3.92/4.34 Inuse: 219
% 3.92/4.34 Deleted: 7
% 3.92/4.34 Deletedinuse: 0
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 170857 integers for clauses
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 75937 integers for termspace/termends
% 3.92/4.34 *** allocated 256285 integers for clauses
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 7080
% 3.92/4.34 Kept: 4034
% 3.92/4.34 Inuse: 359
% 3.92/4.34 Deleted: 11
% 3.92/4.34 Deletedinuse: 4
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 113905 integers for termspace/termends
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 384427 integers for clauses
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 10317
% 3.92/4.34 Kept: 6055
% 3.92/4.34 Inuse: 484
% 3.92/4.34 Deleted: 13
% 3.92/4.34 Deletedinuse: 6
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 170857 integers for termspace/termends
% 3.92/4.34 *** allocated 576640 integers for clauses
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 14077
% 3.92/4.34 Kept: 8169
% 3.92/4.34 Inuse: 594
% 3.92/4.34 Deleted: 19
% 3.92/4.34 Deletedinuse: 12
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 18555
% 3.92/4.34 Kept: 11009
% 3.92/4.34 Inuse: 674
% 3.92/4.34 Deleted: 19
% 3.92/4.34 Deletedinuse: 12
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 256285 integers for termspace/termends
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 864960 integers for clauses
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 23351
% 3.92/4.34 Kept: 13019
% 3.92/4.34 Inuse: 744
% 3.92/4.34 Deleted: 26
% 3.92/4.34 Deletedinuse: 19
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 32966
% 3.92/4.34 Kept: 15216
% 3.92/4.34 Inuse: 779
% 3.92/4.34 Deleted: 29
% 3.92/4.34 Deletedinuse: 22
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 384427 integers for termspace/termends
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 38322
% 3.92/4.34 Kept: 17245
% 3.92/4.34 Inuse: 827
% 3.92/4.34 Deleted: 64
% 3.92/4.34 Deletedinuse: 55
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 1297440 integers for clauses
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 47419
% 3.92/4.34 Kept: 19564
% 3.92/4.34 Inuse: 892
% 3.92/4.34 Deleted: 70
% 3.92/4.34 Deletedinuse: 61
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying clauses:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 57409
% 3.92/4.34 Kept: 21594
% 3.92/4.34 Inuse: 917
% 3.92/4.34 Deleted: 2712
% 3.92/4.34 Deletedinuse: 64
% 3.92/4.34
% 3.92/4.34 *** allocated 576640 integers for termspace/termends
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 67355
% 3.92/4.34 Kept: 23685
% 3.92/4.34 Inuse: 952
% 3.92/4.34 Deleted: 2718
% 3.92/4.34 Deletedinuse: 70
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 81060
% 3.92/4.34 Kept: 25730
% 3.92/4.34 Inuse: 984
% 3.92/4.34 Deleted: 2729
% 3.92/4.34 Deletedinuse: 78
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 91137
% 3.92/4.34 Kept: 27967
% 3.92/4.34 Inuse: 1022
% 3.92/4.34 Deleted: 2736
% 3.92/4.34 Deletedinuse: 78
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 1946160 integers for clauses
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 101579
% 3.92/4.34 Kept: 30562
% 3.92/4.34 Inuse: 1052
% 3.92/4.34 Deleted: 2736
% 3.92/4.34 Deletedinuse: 78
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 *** allocated 864960 integers for termspace/termends
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 111566
% 3.92/4.34 Kept: 32784
% 3.92/4.34 Inuse: 1077
% 3.92/4.34 Deleted: 2736
% 3.92/4.34 Deletedinuse: 78
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 122516
% 3.92/4.34 Kept: 35079
% 3.92/4.34 Inuse: 1097
% 3.92/4.34 Deleted: 2740
% 3.92/4.34 Deletedinuse: 82
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 131564
% 3.92/4.34 Kept: 37348
% 3.92/4.34 Inuse: 1112
% 3.92/4.34 Deleted: 2740
% 3.92/4.34 Deletedinuse: 82
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Intermediate Status:
% 3.92/4.34 Generated: 138301
% 3.92/4.34 Kept: 39379
% 3.92/4.34 Inuse: 1140
% 3.92/4.34 Deleted: 2740
% 3.92/4.34 Deletedinuse: 82
% 3.92/4.34
% 3.92/4.34 Resimplifying inuse:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34 Resimplifying clauses:
% 3.92/4.34 Done
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Bliksems!, er is een bewijs:
% 3.92/4.34 % SZS status Theorem
% 3.92/4.34 % SZS output start Refutation
% 3.92/4.34
% 3.92/4.34 (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.92/4.34 , ! X = Y }.
% 3.92/4.34 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.92/4.34 (258) {G0,W17,D4,L4,V3,M4} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , app( X, app( Y, Z ) ) ==> app( app( X, Y ), Z ) }.
% 3.92/4.34 (262) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( X, nil ) ==> X }.
% 3.92/4.34 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 3.92/4.34 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 3.92/4.34 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 3.92/4.34 (281) {G0,W18,D4,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( app( X, Y ), Z ) ==> skol49, ! app( X, Z ) ==> skol46 }.
% 3.92/4.34 (282) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 3.92/4.34 (283) {G1,W5,D3,L1,V0,M1} I;d(280);d(279) { app( skol46, skol52 ) ==>
% 3.92/4.34 skol49 }.
% 3.92/4.34 (13155) {G1,W8,D2,L3,V1,M3} R(158,282) { ! ssList( X ), ! neq( skol52, X )
% 3.92/4.34 , ! skol52 = X }.
% 3.92/4.34 (13793) {G2,W10,D3,L3,V1,M3} P(159,283);r(282) { app( skol46, X ) ==>
% 3.92/4.34 skol49, ! ssList( X ), neq( skol52, X ) }.
% 3.92/4.34 (31248) {G1,W13,D4,L3,V2,M3} R(258,161);d(262) { ! ssList( X ), ! ssList( Y
% 3.92/4.34 ), app( app( X, Y ), nil ) ==> app( X, Y ) }.
% 3.92/4.34 (39056) {G2,W12,D3,L4,V2,M4} R(281,161);d(31248);d(262) { ! ssList( X ), !
% 3.92/4.34 ssList( Y ), ! app( X, Y ) ==> skol49, ! X = skol46 }.
% 3.92/4.34 (39220) {G3,W7,D3,L2,V1,M2} Q(39056);r(275) { ! ssList( X ), ! app( skol46
% 3.92/4.34 , X ) ==> skol49 }.
% 3.92/4.34 (40867) {G4,W5,D2,L2,V1,M2} S(13793);r(39220) { ! ssList( X ), neq( skol52
% 3.92/4.34 , X ) }.
% 3.92/4.34 (40869) {G5,W5,D2,L2,V1,M2} S(13155);r(40867) { ! ssList( X ), ! skol52 = X
% 3.92/4.34 }.
% 3.92/4.34 (40879) {G6,W0,D0,L0,V0,M0} Q(40869);r(282) { }.
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 % SZS output end Refutation
% 3.92/4.34 found a proof!
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Unprocessed initial clauses:
% 3.92/4.34
% 3.92/4.34 (40881) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 3.92/4.34 , ! X = Y }.
% 3.92/4.34 (40882) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40883) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 3.92/4.34 (40884) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 3.92/4.34 (40885) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 3.92/4.34 (40886) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.92/4.34 , Y ), ssList( skol2( Z, T ) ) }.
% 3.92/4.34 (40887) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 3.92/4.34 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 3.92/4.34 (40888) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 3.92/4.34 (40889) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 3.92/4.34 ) ) }.
% 3.92/4.34 (40890) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 3.92/4.34 ( X, Y, Z ) ) ) = X }.
% 3.92/4.34 (40891) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 3.92/4.34 , alpha1( X, Y, Z ) }.
% 3.92/4.34 (40892) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 3.92/4.34 skol4( Y ) ) }.
% 3.92/4.34 (40893) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 3.92/4.34 skol4( X ), nil ) = X }.
% 3.92/4.34 (40894) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 3.92/4.34 nil ) = X, singletonP( X ) }.
% 3.92/4.34 (40895) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.92/4.34 X, Y ), ssList( skol5( Z, T ) ) }.
% 3.92/4.34 (40896) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.92/4.34 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 3.92/4.34 (40897) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 3.92/4.34 (40898) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.92/4.34 , Y ), ssList( skol6( Z, T ) ) }.
% 3.92/4.34 (40899) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.92/4.34 , Y ), app( skol6( X, Y ), Y ) = X }.
% 3.92/4.34 (40900) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 3.92/4.34 (40901) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.92/4.34 , Y ), ssList( skol7( Z, T ) ) }.
% 3.92/4.34 (40902) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.92/4.34 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 3.92/4.34 (40903) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 3.92/4.34 (40904) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 3.92/4.34 ) ) }.
% 3.92/4.34 (40905) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 3.92/4.34 skol8( X, Y, Z ) ) = X }.
% 3.92/4.34 (40906) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 3.92/4.34 , alpha2( X, Y, Z ) }.
% 3.92/4.34 (40907) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 3.92/4.34 Y ), alpha3( X, Y ) }.
% 3.92/4.34 (40908) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 3.92/4.34 cyclefreeP( X ) }.
% 3.92/4.34 (40909) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 3.92/4.34 cyclefreeP( X ) }.
% 3.92/4.34 (40910) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (40911) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 3.92/4.34 (40912) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40913) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha28( X, Y, Z, T ) }.
% 3.92/4.34 (40914) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (40915) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 3.92/4.34 alpha21( X, Y, Z ) }.
% 3.92/4.34 (40916) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha35( X, Y, Z, T, U ) }.
% 3.92/4.34 (40917) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (40918) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 3.92/4.34 ), alpha28( X, Y, Z, T ) }.
% 3.92/4.34 (40919) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha41( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40920) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha35( X, Y, Z, T, U ) }.
% 3.92/4.34 (40921) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 3.92/4.34 (40922) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 3.92/4.34 (40923) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha41( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40924) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 3.92/4.34 W ) }.
% 3.92/4.34 (40925) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 3.92/4.34 X ) }.
% 3.92/4.34 (40926) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 3.92/4.34 (40927) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 3.92/4.34 (40928) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 3.92/4.34 ( Y ), alpha4( X, Y ) }.
% 3.92/4.34 (40929) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 3.92/4.34 totalorderP( X ) }.
% 3.92/4.34 (40930) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 3.92/4.34 totalorderP( X ) }.
% 3.92/4.34 (40931) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (40932) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 3.92/4.34 (40933) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40934) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha29( X, Y, Z, T ) }.
% 3.92/4.34 (40935) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (40936) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 3.92/4.34 alpha22( X, Y, Z ) }.
% 3.92/4.34 (40937) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha36( X, Y, Z, T, U ) }.
% 3.92/4.34 (40938) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (40939) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 3.92/4.34 ), alpha29( X, Y, Z, T ) }.
% 3.92/4.34 (40940) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha42( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40941) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha36( X, Y, Z, T, U ) }.
% 3.92/4.34 (40942) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 3.92/4.34 (40943) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 3.92/4.34 (40944) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha42( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40945) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 3.92/4.34 W ) }.
% 3.92/4.34 (40946) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 3.92/4.34 }.
% 3.92/4.34 (40947) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 3.92/4.34 (40948) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 3.92/4.34 (40949) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 3.92/4.34 ( Y ), alpha5( X, Y ) }.
% 3.92/4.34 (40950) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 3.92/4.34 strictorderP( X ) }.
% 3.92/4.34 (40951) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 3.92/4.34 strictorderP( X ) }.
% 3.92/4.34 (40952) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (40953) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 3.92/4.34 (40954) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40955) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha30( X, Y, Z, T ) }.
% 3.92/4.34 (40956) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (40957) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 3.92/4.34 alpha23( X, Y, Z ) }.
% 3.92/4.34 (40958) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha37( X, Y, Z, T, U ) }.
% 3.92/4.34 (40959) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (40960) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 3.92/4.34 ), alpha30( X, Y, Z, T ) }.
% 3.92/4.34 (40961) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha43( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40962) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha37( X, Y, Z, T, U ) }.
% 3.92/4.34 (40963) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 3.92/4.34 (40964) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 3.92/4.34 (40965) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha43( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40966) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 3.92/4.34 W ) }.
% 3.92/4.34 (40967) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 3.92/4.34 }.
% 3.92/4.34 (40968) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 3.92/4.34 (40969) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 3.92/4.34 (40970) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 3.92/4.34 ssItem( Y ), alpha6( X, Y ) }.
% 3.92/4.34 (40971) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 3.92/4.34 totalorderedP( X ) }.
% 3.92/4.34 (40972) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 3.92/4.34 totalorderedP( X ) }.
% 3.92/4.34 (40973) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (40974) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 3.92/4.34 (40975) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40976) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha24( X, Y, Z, T ) }.
% 3.92/4.34 (40977) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (40978) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 3.92/4.34 alpha15( X, Y, Z ) }.
% 3.92/4.34 (40979) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha31( X, Y, Z, T, U ) }.
% 3.92/4.34 (40980) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (40981) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 3.92/4.34 ), alpha24( X, Y, Z, T ) }.
% 3.92/4.34 (40982) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha38( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40983) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha31( X, Y, Z, T, U ) }.
% 3.92/4.34 (40984) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 3.92/4.34 (40985) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 3.92/4.34 (40986) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha38( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (40987) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 3.92/4.34 }.
% 3.92/4.34 (40988) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 3.92/4.34 ssItem( Y ), alpha7( X, Y ) }.
% 3.92/4.34 (40989) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 3.92/4.34 strictorderedP( X ) }.
% 3.92/4.34 (40990) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 3.92/4.34 strictorderedP( X ) }.
% 3.92/4.34 (40991) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (40992) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 3.92/4.34 (40993) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (40994) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha25( X, Y, Z, T ) }.
% 3.92/4.34 (40995) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (40996) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 3.92/4.34 alpha16( X, Y, Z ) }.
% 3.92/4.34 (40997) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha32( X, Y, Z, T, U ) }.
% 3.92/4.34 (40998) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (40999) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 3.92/4.34 ), alpha25( X, Y, Z, T ) }.
% 3.92/4.34 (41000) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha39( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (41001) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha32( X, Y, Z, T, U ) }.
% 3.92/4.34 (41002) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 3.92/4.34 (41003) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 3.92/4.34 (41004) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha39( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (41005) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 3.92/4.34 }.
% 3.92/4.34 (41006) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 3.92/4.34 ssItem( Y ), alpha8( X, Y ) }.
% 3.92/4.34 (41007) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 3.92/4.34 duplicatefreeP( X ) }.
% 3.92/4.34 (41008) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 3.92/4.34 duplicatefreeP( X ) }.
% 3.92/4.34 (41009) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (41010) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 3.92/4.34 (41011) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (41012) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha26( X, Y, Z, T ) }.
% 3.92/4.34 (41013) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (41014) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 3.92/4.34 alpha17( X, Y, Z ) }.
% 3.92/4.34 (41015) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha33( X, Y, Z, T, U ) }.
% 3.92/4.34 (41016) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (41017) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 3.92/4.34 ), alpha26( X, Y, Z, T ) }.
% 3.92/4.34 (41018) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 3.92/4.34 alpha40( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (41019) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 3.92/4.34 alpha33( X, Y, Z, T, U ) }.
% 3.92/4.34 (41020) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 3.92/4.34 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 3.92/4.34 (41021) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 3.92/4.34 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 3.92/4.34 (41022) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 3.92/4.34 = X, alpha40( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (41023) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 3.92/4.34 (41024) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 3.92/4.34 ( Y ), alpha9( X, Y ) }.
% 3.92/4.34 (41025) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 3.92/4.34 equalelemsP( X ) }.
% 3.92/4.34 (41026) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 3.92/4.34 equalelemsP( X ) }.
% 3.92/4.34 (41027) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 3.92/4.34 , Y, Z ) }.
% 3.92/4.34 (41028) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 3.92/4.34 (41029) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (41030) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 3.92/4.34 alpha27( X, Y, Z, T ) }.
% 3.92/4.34 (41031) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 3.92/4.34 Z ) }.
% 3.92/4.34 (41032) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 3.92/4.34 alpha18( X, Y, Z ) }.
% 3.92/4.34 (41033) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 3.92/4.34 alpha34( X, Y, Z, T, U ) }.
% 3.92/4.34 (41034) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 3.92/4.34 X, Y, Z, T ) }.
% 3.92/4.34 (41035) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 3.92/4.34 ), alpha27( X, Y, Z, T ) }.
% 3.92/4.34 (41036) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 3.92/4.34 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 3.92/4.34 (41037) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 3.92/4.34 alpha34( X, Y, Z, T, U ) }.
% 3.92/4.34 (41038) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 3.92/4.34 (41039) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 3.92/4.34 , ! X = Y }.
% 3.92/4.34 (41040) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 3.92/4.34 , Y ) }.
% 3.92/4.34 (41041) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 3.92/4.34 Y, X ) ) }.
% 3.92/4.34 (41042) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.92/4.34 (41043) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 3.92/4.34 = X }.
% 3.92/4.34 (41044) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.92/4.34 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 3.92/4.34 (41045) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.92/4.34 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 3.92/4.34 (41046) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 3.92/4.34 ) }.
% 3.92/4.34 (41047) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 3.92/4.34 ) }.
% 3.92/4.34 (41048) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 3.92/4.34 skol43( X ) ) = X }.
% 3.92/4.34 (41049) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 3.92/4.34 Y, X ) }.
% 3.92/4.34 (41050) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 3.92/4.34 }.
% 3.92/4.34 (41051) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 3.92/4.34 X ) ) = Y }.
% 3.92/4.34 (41052) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 3.92/4.34 }.
% 3.92/4.34 (41053) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 3.92/4.34 X ) ) = X }.
% 3.92/4.34 (41054) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 3.92/4.34 , Y ) ) }.
% 3.92/4.34 (41055) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 3.92/4.34 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 3.92/4.34 (41056) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 3.92/4.34 (41057) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.92/4.34 , ! leq( Y, X ), X = Y }.
% 3.92/4.34 (41058) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.92/4.34 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 3.92/4.34 (41059) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 3.92/4.34 (41060) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.92/4.34 , leq( Y, X ) }.
% 3.92/4.34 (41061) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 3.92/4.34 , geq( X, Y ) }.
% 3.92/4.34 (41062) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.92/4.34 , ! lt( Y, X ) }.
% 3.92/4.34 (41063) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.92/4.34 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.92/4.34 (41064) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.92/4.34 , lt( Y, X ) }.
% 3.92/4.34 (41065) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 3.92/4.34 , gt( X, Y ) }.
% 3.92/4.34 (41066) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 3.92/4.34 (41067) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 3.92/4.34 (41068) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 3.92/4.34 (41069) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 3.92/4.34 (41070) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 3.92/4.34 (41071) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 3.92/4.34 (41072) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 3.92/4.34 (41073) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 3.92/4.34 (41074) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 3.92/4.34 (41075) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 3.92/4.34 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 3.92/4.34 (41076) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 3.92/4.34 (41077) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 3.92/4.34 (41078) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 3.92/4.34 (41079) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 3.92/4.34 , T ) }.
% 3.92/4.34 (41080) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 3.92/4.34 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 3.92/4.34 cons( Y, T ) ) }.
% 3.92/4.34 (41081) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 3.92/4.34 (41082) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 3.92/4.34 X }.
% 3.92/4.34 (41083) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 3.92/4.34 ) }.
% 3.92/4.34 (41084) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 3.92/4.34 (41085) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 3.92/4.34 , Y ), ! rearsegP( Y, X ), X = Y }.
% 3.92/4.34 (41086) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 3.92/4.34 (41087) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 3.92/4.34 (41088) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 3.92/4.34 (41089) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 3.92/4.34 }.
% 3.92/4.34 (41090) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 3.92/4.34 }.
% 3.92/4.34 (41091) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 3.92/4.34 (41092) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 3.92/4.34 , Y ), ! segmentP( Y, X ), X = Y }.
% 3.92/4.34 (41093) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 3.92/4.34 (41094) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 3.92/4.34 }.
% 3.92/4.34 (41095) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 3.92/4.34 (41096) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 3.92/4.34 }.
% 3.92/4.34 (41097) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 3.92/4.34 }.
% 3.92/4.34 (41098) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 3.92/4.34 }.
% 3.92/4.34 (41099) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 3.92/4.34 (41100) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 3.92/4.34 }.
% 3.92/4.34 (41101) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 3.92/4.34 (41102) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 3.92/4.34 ) }.
% 3.92/4.34 (41103) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 3.92/4.34 (41104) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 3.92/4.34 ) }.
% 3.92/4.34 (41105) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 3.92/4.34 (41106) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.92/4.34 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 3.92/4.34 (41107) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.92/4.34 totalorderedP( cons( X, Y ) ) }.
% 3.92/4.34 (41108) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 3.92/4.34 , Y ), totalorderedP( cons( X, Y ) ) }.
% 3.92/4.34 (41109) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 3.92/4.34 (41110) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 3.92/4.34 (41111) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 3.92/4.34 }.
% 3.92/4.34 (41112) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 3.92/4.34 (41113) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 3.92/4.34 (41114) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 3.92/4.34 alpha19( X, Y ) }.
% 3.92/4.34 (41115) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 3.92/4.34 ) ) }.
% 3.92/4.34 (41116) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 3.92/4.34 (41117) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 3.92/4.34 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 3.92/4.34 (41118) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 3.92/4.34 strictorderedP( cons( X, Y ) ) }.
% 3.92/4.34 (41119) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 3.92/4.34 , Y ), strictorderedP( cons( X, Y ) ) }.
% 3.92/4.34 (41120) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 3.92/4.34 (41121) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 3.92/4.34 (41122) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 3.92/4.34 }.
% 3.92/4.34 (41123) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 3.92/4.34 (41124) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 3.92/4.34 (41125) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 3.92/4.34 alpha20( X, Y ) }.
% 3.92/4.34 (41126) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 3.92/4.34 ) ) }.
% 3.92/4.34 (41127) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 3.92/4.34 (41128) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 3.92/4.34 }.
% 3.92/4.34 (41129) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 3.92/4.34 (41130) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 3.92/4.34 ) }.
% 3.92/4.34 (41131) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 3.92/4.34 ) }.
% 3.92/4.34 (41132) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 3.92/4.34 ) }.
% 3.92/4.34 (41133) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 3.92/4.34 ) }.
% 3.92/4.34 (41134) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 3.92/4.34 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 3.92/4.34 (41135) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 3.92/4.34 X ) ) = X }.
% 3.92/4.34 (41136) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 3.92/4.34 (41137) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 3.92/4.34 (41138) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 3.92/4.34 = app( cons( Y, nil ), X ) }.
% 3.92/4.34 (41139) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.92/4.34 (41140) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.92/4.34 X, Y ), nil = Y }.
% 3.92/4.34 (41141) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 3.92/4.34 X, Y ), nil = X }.
% 3.92/4.34 (41142) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 3.92/4.34 nil = X, nil = app( X, Y ) }.
% 3.92/4.34 (41143) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 3.92/4.34 (41144) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 3.92/4.34 app( X, Y ) ) = hd( X ) }.
% 3.92/4.34 (41145) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 3.92/4.34 app( X, Y ) ) = app( tl( X ), Y ) }.
% 3.92/4.34 (41146) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 3.92/4.34 , ! geq( Y, X ), X = Y }.
% 3.92/4.34 (41147) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.92/4.34 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 3.92/4.34 (41148) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 3.92/4.34 (41149) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 3.92/4.34 (41150) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.92/4.34 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 3.92/4.34 (41151) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 3.92/4.34 , X = Y, lt( X, Y ) }.
% 3.92/4.34 (41152) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.92/4.34 , ! X = Y }.
% 3.92/4.34 (41153) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 3.92/4.34 , leq( X, Y ) }.
% 3.92/4.34 (41154) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 3.92/4.34 ( X, Y ), lt( X, Y ) }.
% 3.92/4.34 (41155) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 3.92/4.34 , ! gt( Y, X ) }.
% 3.92/4.34 (41156) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 3.92/4.34 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 3.92/4.34 (41157) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 3.92/4.34 (41158) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 3.92/4.34 (41159) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 3.92/4.34 (41160) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 3.92/4.34 (41161) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 3.92/4.34 (41162) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 3.92/4.34 (41163) {G0,W18,D4,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 3.92/4.34 , ! app( app( X, Y ), Z ) = skol49, ! app( X, Z ) = skol46 }.
% 3.92/4.34 (41164) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 3.92/4.34 (41165) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 3.92/4.34 (41166) {G0,W2,D2,L1,V0,M1} { strictorderedP( skol50 ) }.
% 3.92/4.34 (41167) {G0,W25,D4,L7,V4,M7} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 3.92/4.34 X, nil ), Y ) = skol52, ! ssItem( Z ), ! ssList( T ), ! app( T, cons( Z,
% 3.92/4.34 nil ) ) = skol50, ! lt( Z, X ) }.
% 3.92/4.34 (41168) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 3.92/4.34
% 3.92/4.34
% 3.92/4.34 Total Proof:
% 3.92/4.34
% 3.92/4.34 subsumption: (158) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.92/4.34 neq( X, Y ), ! X = Y }.
% 3.92/4.34 parent0: (41039) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), !
% 3.92/4.34 neq( X, Y ), ! X = Y }.
% 3.92/4.34 substitution0:
% 3.92/4.34 X := X
% 3.92/4.34 Y := Y
% 3.92/4.34 end
% 3.92/4.34 permutation0:
% 3.92/4.34 0 ==> 0
% 3.92/4.34 1 ==> 1
% 3.92/4.34 2 ==> 2
% 3.92/4.34 3 ==> 3
% 3.92/4.34 end
% 3.92/4.34
% 3.92/4.34 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 3.92/4.34 = Y, neq( X, Y ) }.
% 3.92/4.34 parent0: (41040) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 3.92/4.34 Y, neq( X, Y ) }.
% 3.92/4.34 substitution0:
% 3.92/4.34 X := X
% 3.92/4.34 Y := Y
% 3.92/4.34 end
% 3.92/4.34 permutation0:
% 3.92/4.34 0 ==> 0
% 3.92/4.34 1 ==> 1
% 3.92/4.34 2 ==> 2
% 3.92/4.34 3 ==> 3
% 3.92/4.34 end
% 3.92/4.34
% 3.92/4.34 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 3.92/4.34 parent0: (41042) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 3.92/4.35 substitution0:
% 3.92/4.35 end
% 3.92/4.35 permutation0:
% 3.92/4.35 0 ==> 0
% 3.92/4.35 end
% 3.92/4.35
% 3.92/4.35 eqswap: (41642) {G0,W17,D4,L4,V3,M4} { app( X, app( Y, Z ) ) = app( app( X
% 3.92/4.35 , Y ), Z ), ! ssList( X ), ! ssList( Y ), ! ssList( Z ) }.
% 3.92/4.35 parent0[3]: (41139) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), !
% 3.92/4.35 ssList( Z ), app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 3.92/4.35 substitution0:
% 3.92/4.35 X := X
% 3.92/4.35 Y := Y
% 3.92/4.35 Z := Z
% 3.92/4.35 end
% 3.92/4.35
% 3.92/4.35 subsumption: (258) {G0,W17,D4,L4,V3,M4} I { ! ssList( X ), ! ssList( Y ), !
% 3.92/4.35 ssList( Z ), app( X, app( Y, Z ) ) ==> app( app( X, Y ), Z ) }.
% 3.92/4.35 parent0: (41642) {G0,W17,D4,L4,V3,M4} { app( X, app( Y, Z ) ) = app( app(
% 3.92/4.35 X, Y ), Z ), ! ssList( X ), ! ssList( Y ), ! ssList( Z ) }.
% 3.92/4.35 substitution0:
% 3.92/4.35 X := X
% 3.92/4.35 Y := Y
% 3.92/4.35 Z := Z
% 3.92/4.35 end
% 3.92/4.35 permutation0:
% 3.92/4.35 0 ==> 3
% 3.92/4.35 1 ==> 0
% 3.92/4.35 2 ==> 1
% 3.92/4.35 3 ==> 2
% 3.92/4.35 end
% 3.92/4.35
% 3.92/4.35 subsumption: (262) {G0,W7,D3,L2,V1,M2} I { ! ssList( X ), app( X, nil ) ==>
% 3.92/4.35 X }.
% 3.92/4.35 parent0: (41143) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X
% 3.92/4.35 }.
% 3.92/4.35 substitution0:
% 3.92/4.35 X := X
% 3.92/4.35 end
% 3.92/4.35 permutation0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------