TSTP Solution File: SWC026+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 19:33:06 EDT 2022
% Result : Theorem 0.55s 1.05s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWC026+1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Sat Jun 11 23:39:25 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.55/0.94 *** allocated 10000 integers for termspace/termends
% 0.55/0.94 *** allocated 10000 integers for clauses
% 0.55/0.94 *** allocated 10000 integers for justifications
% 0.55/0.94 Bliksem 1.12
% 0.55/0.94
% 0.55/0.94
% 0.55/0.94 Automatic Strategy Selection
% 0.55/0.94
% 0.55/0.94 *** allocated 15000 integers for termspace/termends
% 0.55/0.94
% 0.55/0.94 Clauses:
% 0.55/0.94
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.55/0.94 { ssItem( skol1 ) }.
% 0.55/0.94 { ssItem( skol47 ) }.
% 0.55/0.94 { ! skol1 = skol47 }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.55/0.94 }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.55/0.94 Y ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.55/0.94 ( X, Y ) }.
% 0.55/0.94 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.55/0.94 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.55/0.94 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.55/0.94 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.55/0.94 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.55/0.94 ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.55/0.94 ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.55/0.94 ( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.55/0.94 }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.55/0.94 = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.55/0.94 ( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.55/0.94 }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.55/0.94 , Y ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.55/0.94 segmentP( X, Y ) }.
% 0.55/0.94 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.55/0.94 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.55/0.94 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.55/0.94 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.55/0.94 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.55/0.94 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.55/0.94 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.55/0.94 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.55/0.94 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, alpha12( Y, Z ) }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.55/0.94 { leq( X, Y ), alpha12( X, Y ) }.
% 0.55/0.94 { leq( Y, X ), alpha12( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.55/0.94 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.55/0.94 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.55/0.94 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.55/0.94 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.55/0.94 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, alpha13( Y, Z ) }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.55/0.94 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.55/0.94 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.55/0.94 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.55/0.94 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.55/0.94 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.55/0.94 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.55/0.94 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, alpha14( Y, Z ) }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.55/0.94 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.55/0.94 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.55/0.94 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.55/0.94 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.55/0.94 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.55/0.94 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.55/0.94 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, leq( Y, Z ) }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.55/0.94 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.55/0.94 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.55/0.94 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.55/0.94 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.55/0.94 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, lt( Y, Z ) }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.55/0.94 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.55/0.94 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.55/0.94 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.55/0.94 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.55/0.94 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.55/0.94 .
% 0.55/0.94 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.55/0.94 , U ) }.
% 0.55/0.94 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.55/0.94 ) ) = X, ! Y = Z }.
% 0.55/0.94 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.55/0.94 W ) }.
% 0.55/0.94 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/0.94 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.55/0.94 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.55/0.94 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.55/0.94 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.55/0.94 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.55/0.94 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.55/0.94 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.55/0.94 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.55/0.94 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.55/0.94 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.55/0.94 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.55/0.94 Z }.
% 0.55/0.94 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.55/0.94 { ssList( nil ) }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.55/0.94 ) = cons( T, Y ), Z = T }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.55/0.94 ) = cons( T, Y ), Y = X }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.55/0.94 ( cons( Z, Y ), X ) }.
% 0.55/0.94 { ! ssList( X ), app( nil, X ) = X }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.55/0.94 , leq( X, Z ) }.
% 0.55/0.94 { ! ssItem( X ), leq( X, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.55/0.94 lt( X, Z ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.55/0.94 , memberP( Y, X ), memberP( Z, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.55/0.94 app( Y, Z ), X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.55/0.94 app( Y, Z ), X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.55/0.94 , X = Y, memberP( Z, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.55/0.94 ), X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.55/0.94 cons( Y, Z ), X ) }.
% 0.55/0.94 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.55/0.94 { ! singletonP( nil ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.55/0.94 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.55/0.94 = Y }.
% 0.55/0.94 { ! ssList( X ), frontsegP( X, X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.55/0.94 frontsegP( app( X, Z ), Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.55/0.94 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.55/0.94 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.55/0.94 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.55/0.94 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.55/0.94 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.55/0.94 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.55/0.94 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.55/0.94 Y }.
% 0.55/0.94 { ! ssList( X ), rearsegP( X, X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.55/0.94 ( app( Z, X ), Y ) }.
% 0.55/0.94 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.55/0.94 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.55/0.94 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.55/0.94 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.55/0.94 Y }.
% 0.55/0.94 { ! ssList( X ), segmentP( X, X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.55/0.94 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.55/0.94 { ! ssList( X ), segmentP( X, nil ) }.
% 0.55/0.94 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.55/0.94 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.55/0.94 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.55/0.94 { cyclefreeP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.55/0.94 { totalorderP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.55/0.94 { strictorderP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.55/0.94 { totalorderedP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.55/0.94 alpha10( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.55/0.94 .
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.55/0.94 Y ) ) }.
% 0.55/0.94 { ! alpha10( X, Y ), ! nil = Y }.
% 0.55/0.94 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.55/0.94 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.55/0.94 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.55/0.94 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.55/0.94 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.55/0.94 { strictorderedP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.55/0.94 alpha11( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.55/0.94 .
% 0.55/0.94 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.55/0.94 , Y ) ) }.
% 0.55/0.94 { ! alpha11( X, Y ), ! nil = Y }.
% 0.55/0.94 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.55/0.94 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.55/0.94 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.55/0.94 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.55/0.94 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.55/0.94 { duplicatefreeP( nil ) }.
% 0.55/0.94 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.55/0.94 { equalelemsP( nil ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.55/0.94 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.55/0.94 ( Y ) = tl( X ), Y = X }.
% 0.55/0.94 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.55/0.94 , Z = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.55/0.94 , Z = X }.
% 0.55/0.94 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.55/0.94 ( X, app( Y, Z ) ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.55/0.94 { ! ssList( X ), app( X, nil ) = X }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.55/0.94 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.55/0.94 Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.55/0.94 , geq( X, Z ) }.
% 0.55/0.94 { ! ssItem( X ), geq( X, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! lt( X, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.55/0.94 , lt( X, Z ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.55/0.94 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.55/0.94 gt( X, Z ) }.
% 0.55/0.94 { ssList( skol46 ) }.
% 0.55/0.94 { ssList( skol49 ) }.
% 0.55/0.94 { ssList( skol50 ) }.
% 0.55/0.94 { ssList( skol51 ) }.
% 0.55/0.94 { skol49 = skol51 }.
% 0.55/0.94 { skol46 = skol50 }.
% 0.55/0.94 { nil = skol51, ! nil = skol50 }.
% 0.55/0.94 { nil = skol50, ! nil = skol51 }.
% 0.55/0.94 { alpha44( skol46, skol49 ), nil = skol46 }.
% 0.55/0.94 { alpha44( skol46, skol49 ), ! nil = skol49 }.
% 0.55/0.94 { ! alpha44( X, Y ), nil = Y }.
% 0.55/0.94 { ! alpha44( X, Y ), ! nil = X }.
% 0.55/0.94 { ! nil = Y, nil = X, alpha44( X, Y ) }.
% 0.55/0.94
% 0.55/0.94 *** allocated 15000 integers for clauses
% 0.55/0.94 percentage equality = 0.137647, percentage horn = 0.756944
% 0.55/0.94 This is a problem with some equality
% 0.55/0.94
% 0.55/0.94
% 0.55/0.94
% 0.55/0.94 Options Used:
% 0.55/0.94
% 0.55/0.94 useres = 1
% 0.55/0.94 useparamod = 1
% 0.55/0.94 useeqrefl = 1
% 0.55/0.94 useeqfact = 1
% 0.55/0.94 usefactor = 1
% 0.55/0.94 usesimpsplitting = 0
% 0.55/0.94 usesimpdemod = 5
% 0.55/0.94 usesimpres = 3
% 0.55/0.94
% 0.55/0.94 resimpinuse = 1000
% 0.55/0.94 resimpclauses = 20000
% 0.55/0.94 substype = eqrewr
% 0.55/0.94 backwardsubs = 1
% 0.55/0.94 selectoldest = 5
% 0.55/0.94
% 0.55/0.94 litorderings [0] = split
% 0.55/0.94 litorderings [1] = extend the termordering, first sorting on arguments
% 0.55/0.94
% 0.55/0.94 termordering = kbo
% 0.55/0.94
% 0.55/0.94 litapriori = 0
% 0.55/0.94 termapriori = 1
% 0.55/0.94 litaposteriori = 0
% 0.55/0.94 termaposteriori = 0
% 0.55/0.94 demodaposteriori = 0
% 0.55/0.94 ordereqreflfact = 0
% 0.55/0.94
% 0.55/0.94 litselect = negord
% 0.55/0.94
% 0.55/0.94 maxweight = 15
% 0.55/0.94 maxdepth = 30000
% 0.55/0.94 maxlength = 115
% 0.55/0.94 maxnrvars = 195
% 0.55/0.94 excuselevel = 1
% 0.55/0.94 increasemaxweight = 1
% 0.55/0.94
% 0.55/0.94 maxselected = 10000000
% 0.55/0.94 maxnrclauses = 10000000
% 0.55/0.94
% 0.55/0.94 showgenerated = 0
% 0.55/0.94 showkept = 0
% 0.55/0.94 showselected = 0
% 0.55/0.94 showdeleted = 0
% 0.55/0.94 showresimp = 1
% 0.55/0.94 showstatus = 2000
% 0.55/0.94
% 0.55/0.94 prologoutput = 0
% 0.55/0.94 nrgoals = 5000000
% 0.55/0.94 totalproof = 1
% 0.55/0.94
% 0.55/0.94 Symbols occurring in the translation:
% 0.55/0.94
% 0.55/0.94 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.55/0.94 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.55/0.94 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.55/0.94 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.94 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.55/0.94 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.55/0.94 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.55/0.94 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.55/0.94 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.55/0.94 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.55/0.94 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.55/0.94 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.55/0.94 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.55/0.94 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.55/1.05 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.55/1.05 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.55/1.05 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.55/1.05 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.55/1.05 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.55/1.05 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.55/1.05 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.55/1.05 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.55/1.05 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.55/1.05 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.55/1.05 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.55/1.05 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.55/1.05 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.55/1.05 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.55/1.05 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.55/1.05 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.55/1.05 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.55/1.05 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.55/1.05 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.55/1.05 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.55/1.05 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.55/1.05 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.55/1.05 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.55/1.05 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.55/1.05 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.55/1.05 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.55/1.05 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.55/1.05 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.55/1.05 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.55/1.05 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.55/1.05 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.55/1.05 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.55/1.05 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.55/1.05 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.55/1.05 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.55/1.05 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.55/1.05 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.55/1.05 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.55/1.05 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.55/1.05 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.55/1.05 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.55/1.05 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.55/1.05 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.55/1.05 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.55/1.05 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.55/1.05 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.55/1.05 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.55/1.05 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.55/1.05 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.55/1.05 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.55/1.05 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.55/1.05 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.55/1.05 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.55/1.05 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.55/1.05 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.55/1.05 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.55/1.05 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.55/1.05 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.55/1.05 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.55/1.05 skol1 [109, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.55/1.05 skol2 [110, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.55/1.05 skol3 [111, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.55/1.05 skol4 [112, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.55/1.05 skol5 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.55/1.05 skol6 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.55/1.05 skol7 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.55/1.05 skol8 [116, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.55/1.05 skol9 [117, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.55/1.05 skol10 [118, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.55/1.05 skol11 [119, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.55/1.05 skol12 [120, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.55/1.05 skol13 [121, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.55/1.05 skol14 [122, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.55/1.05 skol15 [123, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.55/1.05 skol16 [124, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.55/1.05 skol17 [125, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.55/1.05 skol18 [126, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.55/1.05 skol19 [127, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.55/1.05 skol20 [128, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.55/1.05 skol21 [129, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.55/1.05 skol22 [130, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.55/1.05 skol23 [131, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.55/1.05 skol24 [132, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.55/1.05 skol25 [133, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.55/1.05 skol26 [134, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.55/1.05 skol27 [135, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.55/1.05 skol28 [136, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.55/1.05 skol29 [137, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.55/1.05 skol30 [138, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.55/1.05 skol31 [139, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.55/1.05 skol32 [140, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.55/1.05 skol33 [141, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.55/1.05 skol34 [142, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.55/1.05 skol35 [143, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.55/1.05 skol36 [144, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.55/1.05 skol37 [145, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.55/1.05 skol38 [146, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.55/1.05 skol39 [147, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.55/1.05 skol40 [148, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.55/1.05 skol41 [149, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.55/1.05 skol42 [150, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.55/1.05 skol43 [151, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.55/1.05 skol44 [152, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.55/1.05 skol45 [153, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.55/1.05 skol46 [154, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.55/1.05 skol47 [155, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.55/1.05 skol48 [156, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.55/1.05 skol49 [157, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.55/1.05 skol50 [158, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.55/1.05 skol51 [159, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.55/1.05
% 0.55/1.05
% 0.55/1.05 Starting Search:
% 0.55/1.05
% 0.55/1.05 *** allocated 22500 integers for clauses
% 0.55/1.05 *** allocated 33750 integers for clauses
% 0.55/1.05 *** allocated 50625 integers for clauses
% 0.55/1.05 *** allocated 22500 integers for termspace/termends
% 0.55/1.05 *** allocated 75937 integers for clauses
% 0.55/1.05 Resimplifying inuse:
% 0.55/1.05 Done
% 0.55/1.05
% 0.55/1.05 *** allocated 33750 integers for termspace/termends
% 0.55/1.05 *** allocated 113905 integers for clauses
% 0.55/1.05 *** allocated 50625 integers for termspace/termends
% 0.55/1.05
% 0.55/1.05 Intermediate Status:
% 0.55/1.05 Generated: 4252
% 0.55/1.05 Kept: 2014
% 0.55/1.05 Inuse: 229
% 0.55/1.05 Deleted: 5
% 0.55/1.05 Deletedinuse: 0
% 0.55/1.05
% 0.55/1.05 Resimplifying inuse:
% 0.55/1.05 Done
% 0.55/1.05
% 0.55/1.05 *** allocated 170857 integers for clauses
% 0.55/1.05 *** allocated 75937 integers for termspace/termends
% 0.55/1.05 Resimplifying inuse:
% 0.55/1.05 Done
% 0.55/1.05
% 0.55/1.05 *** allocated 256285 integers for clauses
% 0.55/1.05
% 0.55/1.05 Intermediate Status:
% 0.55/1.05 Generated: 10172
% 0.55/1.05 Kept: 4015
% 0.55/1.05 Inuse: 421
% 0.55/1.05 Deleted: 5
% 0.55/1.05 Deletedinuse: 0
% 0.55/1.05
% 0.55/1.05 Resimplifying inuse:
% 0.55/1.05 Done
% 0.55/1.05
% 0.55/1.05
% 0.55/1.05 Bliksems!, er is een bewijs:
% 0.55/1.05 % SZS status Theorem
% 0.55/1.05 % SZS output start Refutation
% 0.55/1.05
% 0.55/1.05 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.55/1.05 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.55/1.05 (281) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, ! skol46 ==>
% 0.55/1.05 nil }.
% 0.55/1.05 (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, ! skol49 ==>
% 0.55/1.05 nil }.
% 0.55/1.05 (283) {G0,W6,D2,L2,V0,M2} I { alpha44( skol46, skol49 ), skol46 ==> nil }.
% 0.55/1.05 (284) {G2,W6,D2,L2,V0,M2} I;d(282) { ! skol49 ==> nil, alpha44( nil, skol49
% 0.55/1.05 ) }.
% 0.55/1.05 (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.05 (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 0.55/1.05 (710) {G1,W9,D2,L3,V4,M3} P(285,286) { ! alpha44( Y, Z ), ! X = Y, !
% 0.55/1.05 alpha44( T, X ) }.
% 0.55/1.05 (777) {G2,W6,D2,L2,V2,M2} F(710) { ! alpha44( X, Y ), ! Y = X }.
% 0.55/1.05 (4348) {G3,W3,D2,L1,V0,M1} S(284);r(777) { ! skol49 ==> nil }.
% 0.55/1.05 (4350) {G4,W3,D2,L1,V1,M1} P(285,4348);q { ! alpha44( X, skol49 ) }.
% 0.55/1.05 (4376) {G5,W3,D2,L1,V0,M1} S(283);r(4350) { skol46 ==> nil }.
% 0.55/1.05 (4512) {G6,W0,D0,L0,V0,M0} S(281);d(4376);q;r(4348) { }.
% 0.55/1.05
% 0.55/1.05
% 0.55/1.05 % SZS output end Refutation
% 0.55/1.05 found a proof!
% 0.55/1.05
% 0.55/1.05 *** allocated 113905 integers for termspace/termends
% 0.55/1.05
% 0.55/1.05 Unprocessed initial clauses:
% 0.55/1.05
% 0.55/1.05 (4514) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 0.55/1.05 , ! X = Y }.
% 0.55/1.05 (4515) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4516) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.55/1.05 (4517) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.55/1.05 (4518) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.55/1.05 (4519) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.55/1.05 Y ), ssList( skol2( Z, T ) ) }.
% 0.55/1.05 (4520) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.55/1.05 Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.55/1.05 (4521) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.05 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.55/1.05 (4522) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.55/1.05 ) }.
% 0.55/1.05 (4523) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 0.55/1.05 ( X, Y, Z ) ) ) = X }.
% 0.55/1.05 (4524) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 0.55/1.05 , alpha1( X, Y, Z ) }.
% 0.55/1.05 (4525) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.55/1.05 skol4( Y ) ) }.
% 0.55/1.05 (4526) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 0.55/1.05 skol4( X ), nil ) = X }.
% 0.55/1.05 (4527) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.55/1.05 ) = X, singletonP( X ) }.
% 0.55/1.05 (4528) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/1.05 , Y ), ssList( skol5( Z, T ) ) }.
% 0.55/1.05 (4529) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/1.05 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.55/1.05 (4530) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.05 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.55/1.05 (4531) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.55/1.05 , Y ), ssList( skol6( Z, T ) ) }.
% 0.55/1.05 (4532) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.55/1.05 , Y ), app( skol6( X, Y ), Y ) = X }.
% 0.55/1.05 (4533) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.05 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.55/1.05 (4534) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.55/1.05 , Y ), ssList( skol7( Z, T ) ) }.
% 0.55/1.05 (4535) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.55/1.05 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.55/1.05 (4536) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.05 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.55/1.05 (4537) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.55/1.05 ) }.
% 0.55/1.05 (4538) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.55/1.05 ( X, Y, Z ) ) = X }.
% 0.55/1.05 (4539) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.55/1.05 alpha2( X, Y, Z ) }.
% 0.55/1.05 (4540) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.55/1.05 ), alpha3( X, Y ) }.
% 0.55/1.05 (4541) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.55/1.05 cyclefreeP( X ) }.
% 0.55/1.05 (4542) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.55/1.05 cyclefreeP( X ) }.
% 0.55/1.05 (4543) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4544) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.55/1.05 (4545) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4546) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4547) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4548) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.55/1.05 alpha21( X, Y, Z ) }.
% 0.55/1.05 (4549) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.05 alpha35( X, Y, Z, T, U ) }.
% 0.55/1.05 (4550) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.55/1.05 , Y, Z, T ) }.
% 0.55/1.05 (4551) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 0.55/1.05 ), alpha28( X, Y, Z, T ) }.
% 0.55/1.05 (4552) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.05 alpha41( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4553) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.55/1.05 alpha35( X, Y, Z, T, U ) }.
% 0.55/1.05 (4554) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.55/1.05 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.55/1.05 (4555) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.05 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.55/1.05 (4556) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.05 = X, alpha41( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4557) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.55/1.05 ) }.
% 0.55/1.05 (4558) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.55/1.05 ) }.
% 0.55/1.05 (4559) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.55/1.05 (4560) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.55/1.05 (4561) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem(
% 0.55/1.05 Y ), alpha4( X, Y ) }.
% 0.55/1.05 (4562) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.55/1.05 totalorderP( X ) }.
% 0.55/1.05 (4563) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.55/1.05 totalorderP( X ) }.
% 0.55/1.05 (4564) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4565) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.55/1.05 (4566) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4567) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4568) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4569) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.55/1.05 alpha22( X, Y, Z ) }.
% 0.55/1.05 (4570) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.05 alpha36( X, Y, Z, T, U ) }.
% 0.55/1.05 (4571) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.55/1.05 , Y, Z, T ) }.
% 0.55/1.05 (4572) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 0.55/1.05 ), alpha29( X, Y, Z, T ) }.
% 0.55/1.05 (4573) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.05 alpha42( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4574) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.55/1.05 alpha36( X, Y, Z, T, U ) }.
% 0.55/1.05 (4575) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.55/1.05 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.55/1.05 (4576) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.05 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.55/1.05 (4577) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.05 = X, alpha42( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4578) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.55/1.05 ) }.
% 0.55/1.05 (4579) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.55/1.05 }.
% 0.55/1.05 (4580) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.55/1.05 (4581) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.55/1.05 (4582) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 0.55/1.05 ( Y ), alpha5( X, Y ) }.
% 0.55/1.05 (4583) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.55/1.05 strictorderP( X ) }.
% 0.55/1.05 (4584) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.55/1.05 strictorderP( X ) }.
% 0.55/1.05 (4585) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4586) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.55/1.05 (4587) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4588) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4589) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4590) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.55/1.05 alpha23( X, Y, Z ) }.
% 0.55/1.05 (4591) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.05 alpha37( X, Y, Z, T, U ) }.
% 0.55/1.05 (4592) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.55/1.05 , Y, Z, T ) }.
% 0.55/1.05 (4593) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 0.55/1.05 ), alpha30( X, Y, Z, T ) }.
% 0.55/1.05 (4594) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.05 alpha43( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4595) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.55/1.05 alpha37( X, Y, Z, T, U ) }.
% 0.55/1.05 (4596) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.55/1.05 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.55/1.05 (4597) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.05 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.55/1.05 (4598) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.05 = X, alpha43( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4599) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.55/1.05 ) }.
% 0.55/1.05 (4600) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.55/1.05 (4601) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.55/1.05 (4602) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.55/1.05 (4603) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.55/1.05 ( Y ), alpha6( X, Y ) }.
% 0.55/1.05 (4604) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.55/1.05 totalorderedP( X ) }.
% 0.55/1.05 (4605) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.55/1.05 totalorderedP( X ) }.
% 0.55/1.05 (4606) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4607) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.55/1.05 (4608) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4609) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4610) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4611) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.55/1.05 alpha15( X, Y, Z ) }.
% 0.55/1.05 (4612) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.05 alpha31( X, Y, Z, T, U ) }.
% 0.55/1.05 (4613) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.55/1.05 , Y, Z, T ) }.
% 0.55/1.05 (4614) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 0.55/1.05 ), alpha24( X, Y, Z, T ) }.
% 0.55/1.05 (4615) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.05 alpha38( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4616) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.55/1.05 alpha31( X, Y, Z, T, U ) }.
% 0.55/1.05 (4617) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.55/1.05 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.55/1.05 (4618) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.05 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.55/1.05 (4619) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.05 = X, alpha38( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4620) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.55/1.05 }.
% 0.55/1.05 (4621) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 0.55/1.05 ssItem( Y ), alpha7( X, Y ) }.
% 0.55/1.05 (4622) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.55/1.05 strictorderedP( X ) }.
% 0.55/1.05 (4623) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.55/1.05 strictorderedP( X ) }.
% 0.55/1.05 (4624) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4625) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.55/1.05 (4626) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4627) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4628) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4629) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.55/1.05 alpha16( X, Y, Z ) }.
% 0.55/1.05 (4630) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.05 alpha32( X, Y, Z, T, U ) }.
% 0.55/1.05 (4631) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.55/1.05 , Y, Z, T ) }.
% 0.55/1.05 (4632) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 0.55/1.05 ), alpha25( X, Y, Z, T ) }.
% 0.55/1.05 (4633) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.05 alpha39( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4634) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.55/1.05 alpha32( X, Y, Z, T, U ) }.
% 0.55/1.05 (4635) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.55/1.05 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.55/1.05 (4636) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.05 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.55/1.05 (4637) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.05 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.55/1.05 (4638) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.55/1.05 }.
% 0.55/1.05 (4639) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.55/1.05 ssItem( Y ), alpha8( X, Y ) }.
% 0.55/1.05 (4640) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.55/1.05 duplicatefreeP( X ) }.
% 0.55/1.05 (4641) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.55/1.05 duplicatefreeP( X ) }.
% 0.55/1.05 (4642) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X,
% 0.55/1.05 Y, Z ) }.
% 0.55/1.05 (4643) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.55/1.05 (4644) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.55/1.05 , Y ) }.
% 0.55/1.05 (4645) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.55/1.05 ( X, Y, Z, T ) }.
% 0.55/1.05 (4646) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.55/1.05 ) }.
% 0.55/1.05 (4647) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.55/1.06 alpha17( X, Y, Z ) }.
% 0.55/1.06 (4648) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.06 alpha33( X, Y, Z, T, U ) }.
% 0.55/1.06 (4649) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.55/1.06 , Y, Z, T ) }.
% 0.55/1.06 (4650) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.55/1.06 ), alpha26( X, Y, Z, T ) }.
% 0.55/1.06 (4651) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.55/1.06 alpha40( X, Y, Z, T, U, W ) }.
% 0.55/1.06 (4652) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.55/1.06 alpha33( X, Y, Z, T, U ) }.
% 0.55/1.06 (4653) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.55/1.06 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.55/1.06 (4654) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.55/1.06 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.55/1.06 (4655) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.55/1.06 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/1.06 (4656) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.55/1.06 (4657) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem(
% 0.55/1.06 Y ), alpha9( X, Y ) }.
% 0.55/1.06 (4658) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.55/1.06 equalelemsP( X ) }.
% 0.55/1.06 (4659) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.55/1.06 equalelemsP( X ) }.
% 0.55/1.06 (4660) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X,
% 0.55/1.06 Y, Z ) }.
% 0.55/1.06 (4661) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.55/1.06 (4662) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.55/1.06 , Y ) }.
% 0.55/1.06 (4663) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.55/1.06 ( X, Y, Z, T ) }.
% 0.55/1.06 (4664) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.55/1.06 ) }.
% 0.55/1.06 (4665) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.55/1.06 alpha18( X, Y, Z ) }.
% 0.55/1.06 (4666) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.55/1.06 alpha34( X, Y, Z, T, U ) }.
% 0.55/1.06 (4667) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.55/1.06 , Y, Z, T ) }.
% 0.55/1.06 (4668) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.55/1.06 ), alpha27( X, Y, Z, T ) }.
% 0.55/1.06 (4669) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons(
% 0.55/1.06 Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.55/1.06 (4670) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.55/1.06 alpha34( X, Y, Z, T, U ) }.
% 0.55/1.06 (4671) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.55/1.06 (4672) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.55/1.06 , ! X = Y }.
% 0.55/1.06 (4673) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.55/1.06 , Y ) }.
% 0.55/1.06 (4674) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.55/1.06 , X ) ) }.
% 0.55/1.06 (4675) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.55/1.06 (4676) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.55/1.06 = X }.
% 0.55/1.06 (4677) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.55/1.06 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.55/1.06 (4678) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.55/1.06 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.55/1.06 (4679) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.55/1.06 }.
% 0.55/1.06 (4680) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.55/1.06 }.
% 0.55/1.06 (4681) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.55/1.06 skol43( X ) ) = X }.
% 0.55/1.06 (4682) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.55/1.06 , X ) }.
% 0.55/1.06 (4683) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.55/1.06 (4684) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.55/1.06 ) ) = Y }.
% 0.55/1.06 (4685) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.55/1.06 (4686) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.55/1.06 ) ) = X }.
% 0.55/1.06 (4687) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.55/1.06 , Y ) ) }.
% 0.55/1.06 (4688) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.55/1.06 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.55/1.06 (4689) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.55/1.06 (4690) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.55/1.06 , ! leq( Y, X ), X = Y }.
% 0.55/1.06 (4691) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/1.06 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.55/1.06 (4692) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.55/1.06 (4693) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.55/1.06 , leq( Y, X ) }.
% 0.55/1.06 (4694) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.55/1.06 , geq( X, Y ) }.
% 0.55/1.06 (4695) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.55/1.06 ! lt( Y, X ) }.
% 0.55/1.06 (4696) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/1.06 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.55/1.06 (4697) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.55/1.06 lt( Y, X ) }.
% 0.55/1.06 (4698) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.55/1.06 gt( X, Y ) }.
% 0.55/1.06 (4699) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.55/1.06 (4700) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.55/1.06 (4701) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.55/1.06 (4702) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.55/1.06 (4703) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.55/1.06 (4704) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.55/1.06 (4705) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.55/1.06 (4706) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.55/1.06 (4707) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.55/1.06 (4708) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.55/1.06 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.55/1.06 (4709) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.55/1.06 (4710) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.55/1.06 (4711) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.55/1.06 (4712) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.55/1.06 , T ) }.
% 0.55/1.06 (4713) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.55/1.06 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.55/1.06 cons( Y, T ) ) }.
% 0.55/1.06 (4714) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.55/1.06 (4715) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.55/1.06 }.
% 0.55/1.06 (4716) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.55/1.06 }.
% 0.55/1.06 (4717) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.55/1.06 (4718) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.55/1.06 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.55/1.06 (4719) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.55/1.06 (4720) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.55/1.06 (4721) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.55/1.06 (4722) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.55/1.06 }.
% 0.55/1.06 (4723) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.55/1.06 }.
% 0.55/1.06 (4724) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.55/1.06 (4725) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.55/1.06 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.55/1.06 (4726) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.55/1.06 (4727) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.55/1.06 }.
% 0.55/1.06 (4728) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.55/1.06 (4729) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.55/1.06 }.
% 0.55/1.06 (4730) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.55/1.06 }.
% 0.55/1.06 (4731) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.55/1.06 }.
% 0.55/1.06 (4732) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.55/1.06 (4733) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.55/1.06 }.
% 0.55/1.06 (4734) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.55/1.06 (4735) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.55/1.06 }.
% 0.55/1.06 (4736) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.55/1.06 (4737) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.55/1.06 ) }.
% 0.55/1.06 (4738) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.55/1.06 (4739) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.55/1.06 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.55/1.06 (4740) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.55/1.06 totalorderedP( cons( X, Y ) ) }.
% 0.55/1.06 (4741) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.55/1.06 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.55/1.06 (4742) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.55/1.06 (4743) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.55/1.06 (4744) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.55/1.06 }.
% 0.55/1.06 (4745) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.55/1.06 (4746) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.55/1.06 (4747) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.55/1.06 alpha19( X, Y ) }.
% 0.55/1.06 (4748) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.55/1.06 ) }.
% 0.55/1.06 (4749) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.55/1.06 (4750) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.55/1.06 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.55/1.06 (4751) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.55/1.06 strictorderedP( cons( X, Y ) ) }.
% 0.55/1.06 (4752) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.55/1.06 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.55/1.06 (4753) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.55/1.06 (4754) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.55/1.06 (4755) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.55/1.06 }.
% 0.55/1.06 (4756) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.55/1.06 (4757) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.55/1.06 (4758) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.55/1.06 alpha20( X, Y ) }.
% 0.55/1.06 (4759) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.55/1.06 ) }.
% 0.55/1.06 (4760) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.55/1.06 (4761) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.55/1.06 }.
% 0.55/1.06 (4762) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.55/1.06 (4763) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.55/1.06 }.
% 0.55/1.06 (4764) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.55/1.06 ) }.
% 0.55/1.06 (4765) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.55/1.06 }.
% 0.55/1.06 (4766) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.55/1.06 ) }.
% 0.55/1.06 (4767) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.55/1.06 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.55/1.06 (4768) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.55/1.06 ) ) = X }.
% 0.55/1.06 (4769) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.55/1.06 (4770) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.55/1.06 (4771) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.55/1.06 app( cons( Y, nil ), X ) }.
% 0.55/1.06 (4772) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.55/1.06 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.55/1.06 (4773) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.55/1.06 , Y ), nil = Y }.
% 0.55/1.06 (4774) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.55/1.06 , Y ), nil = X }.
% 0.55/1.06 (4775) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.55/1.06 nil = X, nil = app( X, Y ) }.
% 0.55/1.06 (4776) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.55/1.06 (4777) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.55/1.06 app( X, Y ) ) = hd( X ) }.
% 0.55/1.06 (4778) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.55/1.06 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.55/1.06 (4779) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.55/1.06 , ! geq( Y, X ), X = Y }.
% 0.55/1.06 (4780) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/1.06 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.55/1.06 (4781) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.55/1.06 (4782) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.55/1.06 (4783) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/1.06 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.55/1.06 (4784) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.55/1.06 , X = Y, lt( X, Y ) }.
% 0.55/1.06 (4785) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.55/1.06 ! X = Y }.
% 0.55/1.06 (4786) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.55/1.06 leq( X, Y ) }.
% 0.55/1.06 (4787) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.55/1.06 X, Y ), lt( X, Y ) }.
% 0.55/1.06 (4788) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.55/1.06 ! gt( Y, X ) }.
% 0.55/1.06 (4789) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.55/1.06 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.55/1.06 (4790) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.55/1.06 (4791) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.55/1.06 (4792) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.55/1.06 (4793) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.55/1.06 (4794) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.55/1.06 (4795) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.55/1.06 (4796) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 0.55/1.06 (4797) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 0.55/1.06 (4798) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), nil = skol46 }.
% 0.55/1.06 (4799) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), ! nil = skol49 }.
% 0.55/1.06 (4800) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.06 (4801) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! nil = X }.
% 0.55/1.06 (4802) {G0,W9,D2,L3,V2,M3} { ! nil = Y, nil = X, alpha44( X, Y ) }.
% 0.55/1.06
% 0.55/1.06
% 0.55/1.06 Total Proof:
% 0.55/1.06
% 0.55/1.06 eqswap: (5149) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.55/1.06 parent0[0]: (4794) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.55/1.06 substitution0:
% 0.55/1.06 end
% 0.55/1.06
% 0.55/1.06 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.55/1.06 parent0: (5149) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.55/1.06 substitution0:
% 0.55/1.06 end
% 0.55/1.06 permutation0:
% 0.55/1.06 0 ==> 0
% 0.55/1.06 end
% 0.55/1.06
% 0.55/1.06 eqswap: (5497) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.55/1.06 parent0[0]: (4795) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.55/1.06 substitution0:
% 0.55/1.06 end
% 0.55/1.06
% 0.55/1.06 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.55/1.06 parent0: (5497) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.55/1.06 substitution0:
% 0.55/1.06 end
% 0.55/1.06 permutation0:
% 0.55/1.06 0 ==> 0
% 0.55/1.06 end
% 0.55/1.06
% 0.55/1.06 *** allocated 384427 integers for clauses
% 0.55/1.06 paramod: (6425) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50 }.
% 0.55/1.06 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.55/1.06 parent1[0; 2]: (4796) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50
% 0.55/1.06 }.
% 0.55/1.06 substitution0:
% 0.55/1.06 end
% 0.55/1.06 substitution1:
% 0.55/1.06 end
% 0.55/1.06
% 0.55/1.06 paramod: (6426) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 0.55/1.06 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.55/1.07 parent1[1; 3]: (6425) {G1,W6,D2,L2,V0,M2} { nil = skol49, ! nil = skol50
% 0.55/1.07 }.
% 0.55/1.07 substitution0:
% 0.55/1.07 end
% 0.55/1.07 substitution1:
% 0.55/1.07 end
% 0.55/1.07
% 0.55/1.07 eqswap: (6428) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 0.55/1.07 parent0[1]: (6426) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, nil = skol49 }.
% 0.55/1.07 substitution0:
% 0.55/1.07 end
% 0.55/1.07
% 0.55/1.07 eqswap: (6429) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 0.55/1.07 parent0[1]: (6428) {G1,W6,D2,L2,V0,M2} { skol49 = nil, ! nil = skol46 }.
% 0.55/1.07 substitution0:
% 0.55/1.07 end
% 0.55/1.07
% 0.55/1.07 subsumption: (281) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil, !
% 0.55/1.07 skol46 ==> nil }.
% 0.55/1.07 parent0: (6429) {G1,W6,D2,L2,V0,M2} { ! skol46 = nil, skol49 = nil }.
% 0.55/1.07 substitution0:
% 0.55/1.07 end
% 0.55/1.07 permutation0:
% 0.55/1.07 0 ==> 1
% 0.55/1.07 1 ==> 0
% 0.55/1.07 end
% 0.55/1.07
% 0.55/1.07 paramod: (7382) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51 }.
% 0.55/1.07 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.55/1.07 parent1[0; 2]: (4797) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51
% 0.55/1.07 }.
% 0.55/1.07 substitution0:
% 0.55/1.07 end
% 0.55/1.07 substitution1:
% 0.55/1.07 end
% 0.55/1.07
% 0.55/1.07 paramod: (7383) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 0.55/1.08 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.55/1.08 parent1[1; 3]: (7382) {G1,W6,D2,L2,V0,M2} { nil = skol46, ! nil = skol51
% 0.55/1.08 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (7385) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 0.55/1.08 parent0[1]: (7383) {G1,W6,D2,L2,V0,M2} { ! nil = skol49, nil = skol46 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (7386) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 0.55/1.08 parent0[1]: (7385) {G1,W6,D2,L2,V0,M2} { skol46 = nil, ! nil = skol49 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 0.55/1.08 skol49 ==> nil }.
% 0.55/1.08 parent0: (7386) {G1,W6,D2,L2,V0,M2} { ! skol49 = nil, skol46 = nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 1
% 0.55/1.08 1 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (7741) {G0,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46, skol49
% 0.55/1.08 ) }.
% 0.55/1.08 parent0[1]: (4798) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), nil =
% 0.55/1.08 skol46 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (283) {G0,W6,D2,L2,V0,M2} I { alpha44( skol46, skol49 ),
% 0.55/1.08 skol46 ==> nil }.
% 0.55/1.08 parent0: (7741) {G0,W6,D2,L2,V0,M2} { skol46 = nil, alpha44( skol46,
% 0.55/1.08 skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 1
% 0.55/1.08 1 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 *** allocated 170857 integers for termspace/termends
% 0.55/1.08 eqswap: (9012) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil }.
% 0.55/1.08 parent0[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { skol46 ==> nil, !
% 0.55/1.08 skol49 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 paramod: (9015) {G1,W9,D2,L3,V0,M3} { alpha44( nil, skol49 ), ! nil ==>
% 0.55/1.08 skol49, ! nil = skol49 }.
% 0.55/1.08 parent0[1]: (9012) {G1,W6,D2,L2,V0,M2} { ! nil ==> skol49, skol46 ==> nil
% 0.55/1.08 }.
% 0.55/1.08 parent1[0; 1]: (4799) {G0,W6,D2,L2,V0,M2} { alpha44( skol46, skol49 ), !
% 0.55/1.08 nil = skol49 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9017) {G1,W9,D2,L3,V0,M3} { ! skol49 = nil, alpha44( nil, skol49
% 0.55/1.08 ), ! nil ==> skol49 }.
% 0.55/1.08 parent0[2]: (9015) {G1,W9,D2,L3,V0,M3} { alpha44( nil, skol49 ), ! nil ==>
% 0.55/1.08 skol49, ! nil = skol49 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9018) {G1,W9,D2,L3,V0,M3} { ! skol49 ==> nil, ! skol49 = nil,
% 0.55/1.08 alpha44( nil, skol49 ) }.
% 0.55/1.08 parent0[2]: (9017) {G1,W9,D2,L3,V0,M3} { ! skol49 = nil, alpha44( nil,
% 0.55/1.08 skol49 ), ! nil ==> skol49 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 factor: (9019) {G1,W6,D2,L2,V0,M2} { ! skol49 ==> nil, alpha44( nil,
% 0.55/1.08 skol49 ) }.
% 0.55/1.08 parent0[0, 1]: (9018) {G1,W9,D2,L3,V0,M3} { ! skol49 ==> nil, ! skol49 =
% 0.55/1.08 nil, alpha44( nil, skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (284) {G2,W6,D2,L2,V0,M2} I;d(282) { ! skol49 ==> nil, alpha44
% 0.55/1.08 ( nil, skol49 ) }.
% 0.55/1.08 parent0: (9019) {G1,W6,D2,L2,V0,M2} { ! skol49 ==> nil, alpha44( nil,
% 0.55/1.08 skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 1 ==> 1
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.08 parent0: (4800) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 Y := Y
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 1 ==> 1
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 0.55/1.08 parent0: (4801) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! nil = X }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 Y := Y
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 1 ==> 1
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9737) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha44( X, Y ) }.
% 0.55/1.08 parent0[1]: (286) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), ! nil = X }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 Y := Y
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 paramod: (9786) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha44( Z, Y ), !
% 0.55/1.08 alpha44( X, T ) }.
% 0.55/1.08 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.08 parent1[0; 3]: (9737) {G0,W6,D2,L2,V2,M2} { ! X = nil, ! alpha44( X, Y )
% 0.55/1.08 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := Z
% 0.55/1.08 Y := Y
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 X := X
% 0.55/1.08 Y := T
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9787) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha44( Z, Y ), ! alpha44
% 0.55/1.08 ( X, T ) }.
% 0.55/1.08 parent0[0]: (9786) {G1,W9,D2,L3,V4,M3} { ! X = Y, ! alpha44( Z, Y ), !
% 0.55/1.08 alpha44( X, T ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 Y := Y
% 0.55/1.08 Z := Z
% 0.55/1.08 T := T
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (710) {G1,W9,D2,L3,V4,M3} P(285,286) { ! alpha44( Y, Z ), ! X
% 0.55/1.08 = Y, ! alpha44( T, X ) }.
% 0.55/1.08 parent0: (9787) {G1,W9,D2,L3,V4,M3} { ! Y = X, ! alpha44( Z, Y ), !
% 0.55/1.08 alpha44( X, T ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := Y
% 0.55/1.08 Y := X
% 0.55/1.08 Z := T
% 0.55/1.08 T := Z
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 1
% 0.55/1.08 1 ==> 2
% 0.55/1.08 2 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 factor: (9791) {G1,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! Y = X }.
% 0.55/1.08 parent0[0, 2]: (710) {G1,W9,D2,L3,V4,M3} P(285,286) { ! alpha44( Y, Z ), !
% 0.55/1.08 X = Y, ! alpha44( T, X ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := Y
% 0.55/1.08 Y := X
% 0.55/1.08 Z := Y
% 0.55/1.08 T := X
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (777) {G2,W6,D2,L2,V2,M2} F(710) { ! alpha44( X, Y ), ! Y = X
% 0.55/1.08 }.
% 0.55/1.08 parent0: (9791) {G1,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), ! Y = X }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 Y := Y
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 1 ==> 1
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9794) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha44( Y, X ) }.
% 0.55/1.08 parent0[1]: (777) {G2,W6,D2,L2,V2,M2} F(710) { ! alpha44( X, Y ), ! Y = X
% 0.55/1.08 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := Y
% 0.55/1.08 Y := X
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 resolution: (9795) {G3,W6,D2,L2,V0,M2} { ! nil = skol49, ! skol49 ==> nil
% 0.55/1.08 }.
% 0.55/1.08 parent0[1]: (9794) {G2,W6,D2,L2,V2,M2} { ! Y = X, ! alpha44( Y, X ) }.
% 0.55/1.08 parent1[1]: (284) {G2,W6,D2,L2,V0,M2} I;d(282) { ! skol49 ==> nil, alpha44
% 0.55/1.08 ( nil, skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := skol49
% 0.55/1.08 Y := nil
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9796) {G3,W6,D2,L2,V0,M2} { ! skol49 = nil, ! skol49 ==> nil }.
% 0.55/1.08 parent0[0]: (9795) {G3,W6,D2,L2,V0,M2} { ! nil = skol49, ! skol49 ==> nil
% 0.55/1.08 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 factor: (9799) {G3,W3,D2,L1,V0,M1} { ! skol49 = nil }.
% 0.55/1.08 parent0[0, 1]: (9796) {G3,W6,D2,L2,V0,M2} { ! skol49 = nil, ! skol49 ==>
% 0.55/1.08 nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (4348) {G3,W3,D2,L1,V0,M1} S(284);r(777) { ! skol49 ==> nil
% 0.55/1.08 }.
% 0.55/1.08 parent0: (9799) {G3,W3,D2,L1,V0,M1} { ! skol49 = nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9801) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.55/1.08 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), nil = Y }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := Y
% 0.55/1.08 Y := X
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqswap: (9802) {G3,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 0.55/1.08 parent0[0]: (4348) {G3,W3,D2,L1,V0,M1} S(284);r(777) { ! skol49 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 paramod: (9804) {G1,W6,D2,L2,V1,M2} { ! nil ==> nil, ! alpha44( X, skol49
% 0.55/1.08 ) }.
% 0.55/1.08 parent0[0]: (9801) {G0,W6,D2,L2,V2,M2} { X = nil, ! alpha44( Y, X ) }.
% 0.55/1.08 parent1[0; 3]: (9802) {G3,W3,D2,L1,V0,M1} { ! nil ==> skol49 }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := skol49
% 0.55/1.08 Y := X
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqrefl: (9815) {G0,W3,D2,L1,V1,M1} { ! alpha44( X, skol49 ) }.
% 0.55/1.08 parent0[0]: (9804) {G1,W6,D2,L2,V1,M2} { ! nil ==> nil, ! alpha44( X,
% 0.55/1.08 skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (4350) {G4,W3,D2,L1,V1,M1} P(285,4348);q { ! alpha44( X,
% 0.55/1.08 skol49 ) }.
% 0.55/1.08 parent0: (9815) {G0,W3,D2,L1,V1,M1} { ! alpha44( X, skol49 ) }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := X
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 resolution: (9817) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.55/1.08 parent0[0]: (4350) {G4,W3,D2,L1,V1,M1} P(285,4348);q { ! alpha44( X, skol49
% 0.55/1.08 ) }.
% 0.55/1.08 parent1[0]: (283) {G0,W6,D2,L2,V0,M2} I { alpha44( skol46, skol49 ), skol46
% 0.55/1.08 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 X := skol46
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (4376) {G5,W3,D2,L1,V0,M1} S(283);r(4350) { skol46 ==> nil }.
% 0.55/1.08 parent0: (9817) {G1,W3,D2,L1,V0,M1} { skol46 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 0 ==> 0
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 paramod: (9824) {G2,W6,D2,L2,V0,M2} { ! nil ==> nil, skol49 ==> nil }.
% 0.55/1.08 parent0[0]: (4376) {G5,W3,D2,L1,V0,M1} S(283);r(4350) { skol46 ==> nil }.
% 0.55/1.08 parent1[1; 2]: (281) {G1,W6,D2,L2,V0,M2} I;d(279);d(280) { skol49 ==> nil,
% 0.55/1.08 ! skol46 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 eqrefl: (9825) {G0,W3,D2,L1,V0,M1} { skol49 ==> nil }.
% 0.55/1.08 parent0[0]: (9824) {G2,W6,D2,L2,V0,M2} { ! nil ==> nil, skol49 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 resolution: (9826) {G1,W0,D0,L0,V0,M0} { }.
% 0.55/1.08 parent0[0]: (4348) {G3,W3,D2,L1,V0,M1} S(284);r(777) { ! skol49 ==> nil }.
% 0.55/1.08 parent1[0]: (9825) {G0,W3,D2,L1,V0,M1} { skol49 ==> nil }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 substitution1:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 subsumption: (4512) {G6,W0,D0,L0,V0,M0} S(281);d(4376);q;r(4348) { }.
% 0.55/1.08 parent0: (9826) {G1,W0,D0,L0,V0,M0} { }.
% 0.55/1.08 substitution0:
% 0.55/1.08 end
% 0.55/1.08 permutation0:
% 0.55/1.08 end
% 0.55/1.08
% 0.55/1.08 Proof check complete!
% 0.55/1.08
% 0.55/1.08 Memory use:
% 0.55/1.08
% 0.55/1.08 space for terms: 75154
% 0.55/1.08 space for clauses: 217042
% 0.55/1.08
% 0.55/1.08
% 0.55/1.08 clauses generated: 11799
% 0.55/1.08 clauses kept: 4513
% 0.55/1.08 clauses selected: 468
% 0.55/1.08 clauses deleted: 9
% 0.55/1.08 clauses inuse deleted: 0
% 0.55/1.08
% 0.55/1.08 subsentry: 47595
% 0.55/1.08 literals s-matched: 27894
% 0.55/1.08 literals matched: 24818
% 0.55/1.08 full subsumption: 11294
% 0.55/1.08
% 0.55/1.08 checksum: 1157507068
% 0.55/1.08
% 0.55/1.08
% 0.55/1.08 Bliksem ended
%------------------------------------------------------------------------------