TSTP Solution File: SWC121+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC121+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:00 EDT 2022
% Result : Theorem 0.70s 1.09s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : SWC121+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.09 % Command : bliksem %s
% 0.08/0.29 % Computer : n014.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % DateTime : Sun Jun 12 06:13:38 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.66/1.07 *** allocated 10000 integers for termspace/termends
% 0.66/1.07 *** allocated 10000 integers for clauses
% 0.66/1.07 *** allocated 10000 integers for justifications
% 0.66/1.07 Bliksem 1.12
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Automatic Strategy Selection
% 0.66/1.07
% 0.66/1.07 *** allocated 15000 integers for termspace/termends
% 0.66/1.07
% 0.66/1.07 Clauses:
% 0.66/1.07
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.66/1.07 { ssItem( skol1 ) }.
% 0.66/1.07 { ssItem( skol47 ) }.
% 0.66/1.07 { ! skol1 = skol47 }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.66/1.07 }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.66/1.07 Y ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.66/1.07 ( X, Y ) }.
% 0.66/1.07 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.66/1.07 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.66/1.07 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.66/1.07 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.66/1.07 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.66/1.07 ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.66/1.07 ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.66/1.07 ( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.66/1.07 }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.66/1.07 = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.66/1.07 ( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.66/1.07 }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.66/1.07 , Y ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.66/1.07 segmentP( X, Y ) }.
% 0.66/1.07 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.66/1.07 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.66/1.07 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.66/1.07 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.66/1.07 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.66/1.07 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.66/1.07 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.66/1.07 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.66/1.07 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, alpha12( Y, Z ) }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.66/1.07 { leq( X, Y ), alpha12( X, Y ) }.
% 0.66/1.07 { leq( Y, X ), alpha12( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.66/1.07 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.66/1.07 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.66/1.07 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.66/1.07 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.66/1.07 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, alpha13( Y, Z ) }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.66/1.07 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.66/1.07 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.66/1.07 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.66/1.07 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.66/1.07 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.66/1.07 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.66/1.07 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, alpha14( Y, Z ) }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.66/1.07 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.66/1.07 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.66/1.07 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.66/1.07 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.66/1.07 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.66/1.07 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.66/1.07 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, leq( Y, Z ) }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.66/1.07 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.66/1.07 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.66/1.07 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.66/1.07 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.66/1.07 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, lt( Y, Z ) }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.66/1.07 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.66/1.07 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.66/1.07 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.66/1.07 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.66/1.07 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.66/1.07 .
% 0.66/1.07 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.66/1.07 , U ) }.
% 0.66/1.07 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.66/1.07 ) ) = X, ! Y = Z }.
% 0.66/1.07 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.66/1.07 W ) }.
% 0.66/1.07 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.66/1.07 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.66/1.07 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.66/1.07 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.66/1.07 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.66/1.07 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.66/1.07 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.66/1.07 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.66/1.07 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.66/1.07 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.66/1.07 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.66/1.07 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.66/1.07 Z }.
% 0.66/1.07 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.66/1.07 { ssList( nil ) }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.66/1.07 ) = cons( T, Y ), Z = T }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.66/1.07 ) = cons( T, Y ), Y = X }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.66/1.07 ( cons( Z, Y ), X ) }.
% 0.66/1.07 { ! ssList( X ), app( nil, X ) = X }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.66/1.07 , leq( X, Z ) }.
% 0.66/1.07 { ! ssItem( X ), leq( X, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.66/1.07 lt( X, Z ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.66/1.07 , memberP( Y, X ), memberP( Z, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.66/1.07 app( Y, Z ), X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.66/1.07 app( Y, Z ), X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.66/1.07 , X = Y, memberP( Z, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.66/1.07 ), X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.66/1.07 cons( Y, Z ), X ) }.
% 0.66/1.07 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.66/1.07 { ! singletonP( nil ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.66/1.07 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.66/1.07 = Y }.
% 0.66/1.07 { ! ssList( X ), frontsegP( X, X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.66/1.07 frontsegP( app( X, Z ), Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.66/1.07 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.66/1.07 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.66/1.07 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.66/1.07 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.66/1.07 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.66/1.07 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.66/1.07 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.66/1.07 Y }.
% 0.66/1.07 { ! ssList( X ), rearsegP( X, X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.66/1.07 ( app( Z, X ), Y ) }.
% 0.66/1.07 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.66/1.07 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.66/1.07 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.66/1.07 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.66/1.07 Y }.
% 0.66/1.07 { ! ssList( X ), segmentP( X, X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.66/1.07 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.66/1.07 { ! ssList( X ), segmentP( X, nil ) }.
% 0.66/1.07 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.66/1.07 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.66/1.07 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.66/1.07 { cyclefreeP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.66/1.07 { totalorderP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.66/1.07 { strictorderP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.66/1.07 { totalorderedP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.66/1.07 alpha10( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.66/1.07 .
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.66/1.07 Y ) ) }.
% 0.66/1.07 { ! alpha10( X, Y ), ! nil = Y }.
% 0.66/1.07 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.66/1.07 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.66/1.07 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.66/1.07 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.66/1.07 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.66/1.07 { strictorderedP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.66/1.07 alpha11( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.66/1.07 .
% 0.66/1.07 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.66/1.07 , Y ) ) }.
% 0.66/1.07 { ! alpha11( X, Y ), ! nil = Y }.
% 0.66/1.07 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.66/1.07 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.66/1.07 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.66/1.07 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.66/1.07 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.66/1.07 { duplicatefreeP( nil ) }.
% 0.66/1.07 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.66/1.07 { equalelemsP( nil ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.66/1.07 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.66/1.07 ( Y ) = tl( X ), Y = X }.
% 0.66/1.07 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.66/1.07 , Z = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.66/1.07 , Z = X }.
% 0.66/1.07 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.66/1.07 ( X, app( Y, Z ) ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.66/1.07 { ! ssList( X ), app( X, nil ) = X }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.66/1.07 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.66/1.07 Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.66/1.07 , geq( X, Z ) }.
% 0.66/1.07 { ! ssItem( X ), geq( X, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! lt( X, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.66/1.07 , lt( X, Z ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.66/1.07 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.66/1.07 gt( X, Z ) }.
% 0.66/1.07 { ssList( skol46 ) }.
% 0.66/1.07 { ssList( skol49 ) }.
% 0.66/1.07 { ssList( skol50 ) }.
% 0.66/1.07 { ssList( skol51 ) }.
% 0.66/1.07 { skol49 = skol51 }.
% 0.66/1.07 { skol46 = skol50 }.
% 0.66/1.07 { alpha44( skol49, skol50 ), alpha45( skol49, skol51 ) }.
% 0.66/1.07 { segmentP( skol51, skol50 ), alpha45( skol49, skol51 ) }.
% 0.66/1.07 { ! neq( skol46, nil ), ! segmentP( skol49, skol46 ), alpha45( skol49,
% 0.66/1.07 skol51 ) }.
% 0.66/1.07 { ! alpha45( X, Y ), neq( X, nil ) }.
% 0.66/1.07 { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 0.66/1.07 { ! neq( X, nil ), neq( Y, nil ), alpha45( X, Y ) }.
% 0.66/1.07 { ! alpha44( X, Y ), neq( X, nil ) }.
% 0.66/1.07 { ! alpha44( X, Y ), neq( Y, nil ) }.
% 0.66/1.07 { ! neq( X, nil ), ! neq( Y, nil ), alpha44( X, Y ) }.
% 0.66/1.07
% 0.66/1.07 *** allocated 15000 integers for clauses
% 0.66/1.07 percentage equality = 0.125000, percentage horn = 0.755172
% 0.66/1.07 This is a problem with some equality
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07
% 0.66/1.07 Options Used:
% 0.66/1.07
% 0.66/1.07 useres = 1
% 0.66/1.07 useparamod = 1
% 0.66/1.07 useeqrefl = 1
% 0.66/1.07 useeqfact = 1
% 0.66/1.07 usefactor = 1
% 0.66/1.07 usesimpsplitting = 0
% 0.66/1.07 usesimpdemod = 5
% 0.66/1.07 usesimpres = 3
% 0.66/1.07
% 0.66/1.07 resimpinuse = 1000
% 0.66/1.07 resimpclauses = 20000
% 0.66/1.07 substype = eqrewr
% 0.66/1.07 backwardsubs = 1
% 0.66/1.07 selectoldest = 5
% 0.66/1.07
% 0.66/1.07 litorderings [0] = split
% 0.66/1.07 litorderings [1] = extend the termordering, first sorting on arguments
% 0.66/1.07
% 0.66/1.07 termordering = kbo
% 0.66/1.07
% 0.66/1.07 litapriori = 0
% 0.66/1.07 termapriori = 1
% 0.66/1.07 litaposteriori = 0
% 0.66/1.07 termaposteriori = 0
% 0.66/1.07 demodaposteriori = 0
% 0.66/1.07 ordereqreflfact = 0
% 0.66/1.07
% 0.66/1.07 litselect = negord
% 0.66/1.07
% 0.66/1.07 maxweight = 15
% 0.66/1.07 maxdepth = 30000
% 0.66/1.07 maxlength = 115
% 0.66/1.07 maxnrvars = 195
% 0.66/1.07 excuselevel = 1
% 0.66/1.07 increasemaxweight = 1
% 0.66/1.07
% 0.66/1.07 maxselected = 10000000
% 0.66/1.07 maxnrclauses = 10000000
% 0.66/1.07
% 0.66/1.07 showgenerated = 0
% 0.66/1.07 showkept = 0
% 0.66/1.07 showselected = 0
% 0.66/1.07 showdeleted = 0
% 0.66/1.07 showresimp = 1
% 0.66/1.07 showstatus = 2000
% 0.66/1.07
% 0.66/1.07 prologoutput = 0
% 0.66/1.07 nrgoals = 5000000
% 0.66/1.07 totalproof = 1
% 0.66/1.07
% 0.66/1.07 Symbols occurring in the translation:
% 0.66/1.07
% 0.66/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.66/1.07 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.66/1.07 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.66/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.66/1.07 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.66/1.07 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.66/1.07 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.66/1.07 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.66/1.07 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.70/1.09 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.70/1.09 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.70/1.09 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.70/1.09 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.70/1.09 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.70/1.09 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.70/1.09 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.70/1.09 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.70/1.09 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.70/1.09 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.70/1.09 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.70/1.09 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.70/1.09 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.70/1.09 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.70/1.09 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.70/1.09 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.70/1.09 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.70/1.09 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.70/1.09 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.70/1.09 alpha1 [65, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.70/1.09 alpha2 [66, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.70/1.09 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.70/1.09 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.70/1.09 alpha5 [69, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.70/1.09 alpha6 [70, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.70/1.09 alpha7 [71, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.70/1.09 alpha8 [72, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.70/1.09 alpha9 [73, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.70/1.09 alpha10 [74, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.70/1.09 alpha11 [75, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.70/1.09 alpha12 [76, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.70/1.09 alpha13 [77, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.70/1.09 alpha14 [78, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.70/1.09 alpha15 [79, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.70/1.09 alpha16 [80, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.70/1.09 alpha17 [81, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.70/1.09 alpha18 [82, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.70/1.09 alpha19 [83, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.70/1.09 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.70/1.09 alpha21 [85, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.70/1.09 alpha22 [86, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.70/1.09 alpha23 [87, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.70/1.09 alpha24 [88, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.70/1.09 alpha25 [89, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.70/1.09 alpha26 [90, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.70/1.09 alpha27 [91, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.70/1.09 alpha28 [92, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.70/1.09 alpha29 [93, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.70/1.09 alpha30 [94, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.70/1.09 alpha31 [95, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.70/1.09 alpha32 [96, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.70/1.09 alpha33 [97, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.70/1.09 alpha34 [98, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.70/1.09 alpha35 [99, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.70/1.09 alpha36 [100, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.70/1.09 alpha37 [101, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.70/1.09 alpha38 [102, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.70/1.09 alpha39 [103, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.70/1.09 alpha40 [104, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.70/1.09 alpha41 [105, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.70/1.09 alpha42 [106, 6] (w:1, o:159, a:1, s:1, b:1),
% 0.70/1.09 alpha43 [107, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.70/1.09 alpha44 [108, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.70/1.09 alpha45 [109, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.70/1.09 skol1 [110, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.70/1.09 skol2 [111, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.70/1.09 skol3 [112, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.70/1.09 skol4 [113, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.70/1.09 skol5 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.70/1.09 skol6 [115, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.70/1.09 skol7 [116, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.70/1.09 skol8 [117, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.70/1.09 skol9 [118, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.70/1.09 skol10 [119, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.70/1.09 skol11 [120, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.70/1.09 skol12 [121, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.70/1.09 skol13 [122, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.70/1.09 skol14 [123, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.70/1.09 skol15 [124, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.70/1.09 skol16 [125, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.70/1.09 skol17 [126, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.70/1.09 skol18 [127, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.70/1.09 skol19 [128, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.70/1.09 skol20 [129, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.70/1.09 skol21 [130, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.70/1.09 skol22 [131, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.70/1.09 skol23 [132, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.70/1.09 skol24 [133, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.70/1.09 skol25 [134, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.70/1.09 skol26 [135, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.70/1.09 skol27 [136, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.70/1.09 skol28 [137, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.70/1.09 skol29 [138, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.70/1.09 skol30 [139, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.70/1.09 skol31 [140, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.70/1.09 skol32 [141, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.70/1.09 skol33 [142, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.70/1.09 skol34 [143, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.70/1.09 skol35 [144, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.70/1.09 skol36 [145, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.70/1.09 skol37 [146, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.70/1.09 skol38 [147, 5] (w:1, o:154, a:1, s:1, b:1),
% 0.70/1.09 skol39 [148, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.70/1.09 skol40 [149, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.70/1.09 skol41 [150, 3] (w:1, o:127, a:1, s:1, b:1),
% 0.70/1.09 skol42 [151, 4] (w:1, o:141, a:1, s:1, b:1),
% 0.70/1.09 skol43 [152, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.70/1.09 skol44 [153, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.70/1.09 skol45 [154, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.70/1.09 skol46 [155, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.70/1.09 skol47 [156, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.70/1.09 skol48 [157, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.70/1.09 skol49 [158, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.70/1.09 skol50 [159, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.70/1.09 skol51 [160, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Starting Search:
% 0.70/1.09
% 0.70/1.09 *** allocated 22500 integers for clauses
% 0.70/1.09 *** allocated 33750 integers for clauses
% 0.70/1.09 *** allocated 50625 integers for clauses
% 0.70/1.09 *** allocated 22500 integers for termspace/termends
% 0.70/1.09 *** allocated 75937 integers for clauses
% 0.70/1.09 Resimplifying inuse:
% 0.70/1.09 Done
% 0.70/1.09
% 0.70/1.09 *** allocated 33750 integers for termspace/termends
% 0.70/1.09
% 0.70/1.09 Bliksems!, er is een bewijs:
% 0.70/1.09 % SZS status Theorem
% 0.70/1.09 % SZS output start Refutation
% 0.70/1.09
% 0.70/1.09 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.09 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.70/1.09 (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49, skol46 ),
% 0.70/1.09 alpha45( skol49, skol49 ) }.
% 0.70/1.09 (282) {G1,W6,D2,L2,V0,M2} I;d(279);d(279);d(280) { alpha45( skol49, skol49
% 0.70/1.09 ), segmentP( skol49, skol46 ) }.
% 0.70/1.09 (283) {G2,W6,D2,L2,V0,M2} I;d(279);r(282) { ! neq( skol46, nil ), alpha45(
% 0.70/1.09 skol49, skol49 ) }.
% 0.70/1.09 (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil ) }.
% 0.70/1.09 (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 0.70/1.09 (288) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( Y, nil ) }.
% 0.70/1.09 (767) {G1,W6,D2,L2,V3,M2} R(284,285) { ! alpha45( X, Y ), ! alpha45( Z, X )
% 0.70/1.09 }.
% 0.70/1.09 (773) {G2,W3,D2,L1,V1,M1} F(767) { ! alpha45( X, X ) }.
% 0.70/1.09 (1097) {G3,W3,D2,L1,V0,M1} S(283);r(773) { ! neq( skol46, nil ) }.
% 0.70/1.09 (1100) {G4,W3,D2,L1,V1,M1} R(1097,288) { ! alpha44( X, skol46 ) }.
% 0.70/1.09 (1167) {G5,W0,D0,L0,V0,M0} S(281);r(1100);r(773) { }.
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 % SZS output end Refutation
% 0.70/1.09 found a proof!
% 0.70/1.09
% 0.70/1.09
% 0.70/1.09 Unprocessed initial clauses:
% 0.70/1.09
% 0.70/1.09 (1169) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 0.70/1.09 , ! X = Y }.
% 0.70/1.09 (1170) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1171) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.70/1.09 (1172) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.70/1.09 (1173) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.70/1.09 (1174) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.70/1.09 Y ), ssList( skol2( Z, T ) ) }.
% 0.70/1.09 (1175) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X,
% 0.70/1.09 Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.70/1.09 (1176) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.70/1.09 (1177) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.70/1.09 ) }.
% 0.70/1.09 (1178) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 0.70/1.09 ( X, Y, Z ) ) ) = X }.
% 0.70/1.09 (1179) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 0.70/1.09 , alpha1( X, Y, Z ) }.
% 0.70/1.09 (1180) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.70/1.09 skol4( Y ) ) }.
% 0.70/1.09 (1181) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 0.70/1.09 skol4( X ), nil ) = X }.
% 0.70/1.09 (1182) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.70/1.09 ) = X, singletonP( X ) }.
% 0.70/1.09 (1183) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.70/1.09 , Y ), ssList( skol5( Z, T ) ) }.
% 0.70/1.09 (1184) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.70/1.09 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.70/1.09 (1185) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.70/1.09 (1186) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.70/1.09 , Y ), ssList( skol6( Z, T ) ) }.
% 0.70/1.09 (1187) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.70/1.09 , Y ), app( skol6( X, Y ), Y ) = X }.
% 0.70/1.09 (1188) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.70/1.09 (1189) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.70/1.09 , Y ), ssList( skol7( Z, T ) ) }.
% 0.70/1.09 (1190) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.70/1.09 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.70/1.09 (1191) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.70/1.09 (1192) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.70/1.09 ) }.
% 0.70/1.09 (1193) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.70/1.09 ( X, Y, Z ) ) = X }.
% 0.70/1.09 (1194) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.70/1.09 alpha2( X, Y, Z ) }.
% 0.70/1.09 (1195) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.70/1.09 ), alpha3( X, Y ) }.
% 0.70/1.09 (1196) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.70/1.09 cyclefreeP( X ) }.
% 0.70/1.09 (1197) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.70/1.09 cyclefreeP( X ) }.
% 0.70/1.09 (1198) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1199) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.70/1.09 (1200) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1201) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1202) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1203) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.70/1.09 alpha21( X, Y, Z ) }.
% 0.70/1.09 (1204) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha35( X, Y, Z, T, U ) }.
% 0.70/1.09 (1205) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1206) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 0.70/1.09 ), alpha28( X, Y, Z, T ) }.
% 0.70/1.09 (1207) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha41( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1208) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha35( X, Y, Z, T, U ) }.
% 0.70/1.09 (1209) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.70/1.09 (1210) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.70/1.09 (1211) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha41( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1212) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.70/1.09 ) }.
% 0.70/1.09 (1213) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.70/1.09 ) }.
% 0.70/1.09 (1214) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.70/1.09 (1215) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.70/1.09 (1216) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem(
% 0.70/1.09 Y ), alpha4( X, Y ) }.
% 0.70/1.09 (1217) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.70/1.09 totalorderP( X ) }.
% 0.70/1.09 (1218) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.70/1.09 totalorderP( X ) }.
% 0.70/1.09 (1219) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1220) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.70/1.09 (1221) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1222) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1223) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1224) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.70/1.09 alpha22( X, Y, Z ) }.
% 0.70/1.09 (1225) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha36( X, Y, Z, T, U ) }.
% 0.70/1.09 (1226) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1227) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 0.70/1.09 ), alpha29( X, Y, Z, T ) }.
% 0.70/1.09 (1228) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha42( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1229) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha36( X, Y, Z, T, U ) }.
% 0.70/1.09 (1230) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.70/1.09 (1231) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.70/1.09 (1232) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha42( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1233) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.70/1.09 ) }.
% 0.70/1.09 (1234) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.70/1.09 }.
% 0.70/1.09 (1235) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.70/1.09 (1236) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.70/1.09 (1237) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 0.70/1.09 ( Y ), alpha5( X, Y ) }.
% 0.70/1.09 (1238) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.70/1.09 strictorderP( X ) }.
% 0.70/1.09 (1239) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.70/1.09 strictorderP( X ) }.
% 0.70/1.09 (1240) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1241) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.70/1.09 (1242) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1243) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1244) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1245) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.70/1.09 alpha23( X, Y, Z ) }.
% 0.70/1.09 (1246) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha37( X, Y, Z, T, U ) }.
% 0.70/1.09 (1247) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1248) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 0.70/1.09 ), alpha30( X, Y, Z, T ) }.
% 0.70/1.09 (1249) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha43( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1250) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha37( X, Y, Z, T, U ) }.
% 0.70/1.09 (1251) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.70/1.09 (1252) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.70/1.09 (1253) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha43( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1254) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.70/1.09 ) }.
% 0.70/1.09 (1255) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.70/1.09 (1256) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.70/1.09 (1257) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.70/1.09 (1258) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.70/1.09 ( Y ), alpha6( X, Y ) }.
% 0.70/1.09 (1259) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.70/1.09 totalorderedP( X ) }.
% 0.70/1.09 (1260) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.70/1.09 totalorderedP( X ) }.
% 0.70/1.09 (1261) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1262) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.70/1.09 (1263) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1264) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1265) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1266) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.70/1.09 alpha15( X, Y, Z ) }.
% 0.70/1.09 (1267) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha31( X, Y, Z, T, U ) }.
% 0.70/1.09 (1268) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1269) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 0.70/1.09 ), alpha24( X, Y, Z, T ) }.
% 0.70/1.09 (1270) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha38( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1271) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha31( X, Y, Z, T, U ) }.
% 0.70/1.09 (1272) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.70/1.09 (1273) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.70/1.09 (1274) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha38( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1275) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.70/1.09 }.
% 0.70/1.09 (1276) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 0.70/1.09 ssItem( Y ), alpha7( X, Y ) }.
% 0.70/1.09 (1277) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.70/1.09 strictorderedP( X ) }.
% 0.70/1.09 (1278) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.70/1.09 strictorderedP( X ) }.
% 0.70/1.09 (1279) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1280) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.70/1.09 (1281) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1282) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1283) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1284) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.70/1.09 alpha16( X, Y, Z ) }.
% 0.70/1.09 (1285) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha32( X, Y, Z, T, U ) }.
% 0.70/1.09 (1286) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1287) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 0.70/1.09 ), alpha25( X, Y, Z, T ) }.
% 0.70/1.09 (1288) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha39( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1289) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha32( X, Y, Z, T, U ) }.
% 0.70/1.09 (1290) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.70/1.09 (1291) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.70/1.09 (1292) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1293) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.70/1.09 }.
% 0.70/1.09 (1294) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.70/1.09 ssItem( Y ), alpha8( X, Y ) }.
% 0.70/1.09 (1295) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.70/1.09 duplicatefreeP( X ) }.
% 0.70/1.09 (1296) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.70/1.09 duplicatefreeP( X ) }.
% 0.70/1.09 (1297) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1298) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.70/1.09 (1299) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1300) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1301) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1302) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.70/1.09 alpha17( X, Y, Z ) }.
% 0.70/1.09 (1303) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha33( X, Y, Z, T, U ) }.
% 0.70/1.09 (1304) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1305) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.70/1.09 ), alpha26( X, Y, Z, T ) }.
% 0.70/1.09 (1306) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.70/1.09 alpha40( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1307) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.70/1.09 alpha33( X, Y, Z, T, U ) }.
% 0.70/1.09 (1308) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.70/1.09 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.70/1.09 (1309) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.70/1.09 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.70/1.09 (1310) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.70/1.09 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1311) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.70/1.09 (1312) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem(
% 0.70/1.09 Y ), alpha9( X, Y ) }.
% 0.70/1.09 (1313) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.70/1.09 equalelemsP( X ) }.
% 0.70/1.09 (1314) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.70/1.09 equalelemsP( X ) }.
% 0.70/1.09 (1315) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X,
% 0.70/1.09 Y, Z ) }.
% 0.70/1.09 (1316) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.70/1.09 (1317) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1318) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.70/1.09 ( X, Y, Z, T ) }.
% 0.70/1.09 (1319) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.70/1.09 ) }.
% 0.70/1.09 (1320) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.70/1.09 alpha18( X, Y, Z ) }.
% 0.70/1.09 (1321) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.70/1.09 alpha34( X, Y, Z, T, U ) }.
% 0.70/1.09 (1322) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.70/1.09 , Y, Z, T ) }.
% 0.70/1.09 (1323) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.70/1.09 ), alpha27( X, Y, Z, T ) }.
% 0.70/1.09 (1324) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons(
% 0.70/1.09 Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.70/1.09 (1325) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.70/1.09 alpha34( X, Y, Z, T, U ) }.
% 0.70/1.09 (1326) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.70/1.09 (1327) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.70/1.09 , ! X = Y }.
% 0.70/1.09 (1328) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.70/1.09 , Y ) }.
% 0.70/1.09 (1329) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.70/1.09 , X ) ) }.
% 0.70/1.09 (1330) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.70/1.09 (1331) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.70/1.09 = X }.
% 0.70/1.09 (1332) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.70/1.09 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.70/1.09 (1333) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.70/1.09 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.70/1.09 (1334) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.70/1.09 }.
% 0.70/1.09 (1335) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.70/1.09 }.
% 0.70/1.09 (1336) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.70/1.09 skol43( X ) ) = X }.
% 0.70/1.09 (1337) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.70/1.09 , X ) }.
% 0.70/1.09 (1338) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.70/1.09 (1339) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.70/1.09 ) ) = Y }.
% 0.70/1.09 (1340) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.70/1.09 (1341) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.70/1.09 ) ) = X }.
% 0.70/1.09 (1342) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.70/1.09 , Y ) ) }.
% 0.70/1.09 (1343) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.70/1.09 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.70/1.09 (1344) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.70/1.09 (1345) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.70/1.09 , ! leq( Y, X ), X = Y }.
% 0.70/1.09 (1346) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.70/1.09 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.70/1.09 (1347) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.70/1.09 (1348) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.70/1.09 , leq( Y, X ) }.
% 0.70/1.09 (1349) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.70/1.09 , geq( X, Y ) }.
% 0.70/1.09 (1350) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.70/1.09 ! lt( Y, X ) }.
% 0.70/1.09 (1351) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.70/1.09 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.70/1.09 (1352) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.70/1.09 lt( Y, X ) }.
% 0.70/1.09 (1353) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.70/1.09 gt( X, Y ) }.
% 0.70/1.09 (1354) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.70/1.09 (1355) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.70/1.09 (1356) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.70/1.09 (1357) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.70/1.09 (1358) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.70/1.09 (1359) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.70/1.09 (1360) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.70/1.09 (1361) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.70/1.09 (1362) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.70/1.09 (1363) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.70/1.09 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.70/1.09 (1364) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.70/1.09 (1365) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.70/1.09 (1366) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.70/1.09 (1367) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.70/1.09 , T ) }.
% 0.70/1.09 (1368) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.70/1.09 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.70/1.09 cons( Y, T ) ) }.
% 0.70/1.09 (1369) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.70/1.09 (1370) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.70/1.09 }.
% 0.70/1.09 (1371) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.70/1.09 }.
% 0.70/1.09 (1372) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.70/1.09 (1373) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.70/1.09 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.70/1.09 (1374) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.70/1.09 (1375) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.70/1.09 (1376) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.70/1.09 (1377) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.70/1.09 }.
% 0.70/1.09 (1378) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.70/1.09 }.
% 0.70/1.09 (1379) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.70/1.09 (1380) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.70/1.09 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.70/1.09 (1381) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.70/1.09 (1382) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.70/1.09 }.
% 0.70/1.09 (1383) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.70/1.09 (1384) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.70/1.09 }.
% 0.70/1.09 (1385) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.70/1.09 }.
% 0.70/1.09 (1386) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.70/1.09 }.
% 0.70/1.09 (1387) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.70/1.09 (1388) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.70/1.09 }.
% 0.70/1.09 (1389) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.70/1.09 (1390) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.70/1.09 }.
% 0.70/1.09 (1391) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.70/1.09 (1392) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.70/1.09 ) }.
% 0.70/1.09 (1393) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.70/1.09 (1394) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.70/1.09 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.70/1.09 (1395) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.70/1.09 totalorderedP( cons( X, Y ) ) }.
% 0.70/1.09 (1396) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.70/1.09 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.70/1.09 (1397) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.70/1.09 (1398) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.70/1.09 (1399) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.70/1.09 }.
% 0.70/1.09 (1400) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.70/1.09 (1401) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.70/1.09 (1402) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.70/1.09 alpha19( X, Y ) }.
% 0.70/1.09 (1403) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.70/1.09 ) }.
% 0.70/1.09 (1404) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.70/1.09 (1405) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.70/1.09 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.70/1.09 (1406) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.70/1.09 strictorderedP( cons( X, Y ) ) }.
% 0.70/1.09 (1407) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.70/1.09 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.70/1.09 (1408) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.70/1.09 (1409) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.70/1.09 (1410) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.70/1.09 }.
% 0.70/1.09 (1411) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.70/1.09 (1412) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.70/1.09 (1413) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.70/1.09 alpha20( X, Y ) }.
% 0.70/1.09 (1414) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.70/1.09 ) }.
% 0.70/1.09 (1415) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.70/1.09 (1416) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.70/1.09 }.
% 0.70/1.09 (1417) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.70/1.09 (1418) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.70/1.09 }.
% 0.70/1.09 (1419) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.70/1.09 ) }.
% 0.70/1.09 (1420) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.70/1.09 }.
% 0.70/1.09 (1421) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.70/1.09 ) }.
% 0.70/1.09 (1422) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.70/1.09 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.70/1.09 (1423) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.70/1.09 ) ) = X }.
% 0.70/1.09 (1424) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.70/1.09 (1425) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.70/1.09 (1426) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.70/1.09 app( cons( Y, nil ), X ) }.
% 0.70/1.09 (1427) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.70/1.09 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.70/1.09 (1428) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.70/1.09 , Y ), nil = Y }.
% 0.70/1.09 (1429) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.70/1.09 , Y ), nil = X }.
% 0.70/1.09 (1430) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.70/1.09 nil = X, nil = app( X, Y ) }.
% 0.70/1.09 (1431) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.70/1.09 (1432) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.70/1.09 app( X, Y ) ) = hd( X ) }.
% 0.70/1.09 (1433) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.70/1.09 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.70/1.09 (1434) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.70/1.09 , ! geq( Y, X ), X = Y }.
% 0.70/1.09 (1435) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.70/1.10 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.70/1.10 (1436) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.70/1.10 (1437) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.70/1.10 (1438) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.70/1.10 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.70/1.10 (1439) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.70/1.10 , X = Y, lt( X, Y ) }.
% 0.70/1.10 (1440) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.70/1.10 ! X = Y }.
% 0.70/1.10 (1441) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.70/1.10 leq( X, Y ) }.
% 0.70/1.10 (1442) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.70/1.10 X, Y ), lt( X, Y ) }.
% 0.70/1.10 (1443) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.70/1.10 ! gt( Y, X ) }.
% 0.70/1.10 (1444) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.70/1.10 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.70/1.10 (1445) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.70/1.10 (1446) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.70/1.10 (1447) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.70/1.10 (1448) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.70/1.10 (1449) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.70/1.10 (1450) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.70/1.10 (1451) {G0,W6,D2,L2,V0,M2} { alpha44( skol49, skol50 ), alpha45( skol49,
% 0.70/1.10 skol51 ) }.
% 0.70/1.10 (1452) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol50 ), alpha45( skol49,
% 0.70/1.10 skol51 ) }.
% 0.70/1.10 (1453) {G0,W9,D2,L3,V0,M3} { ! neq( skol46, nil ), ! segmentP( skol49,
% 0.70/1.10 skol46 ), alpha45( skol49, skol51 ) }.
% 0.70/1.10 (1454) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), neq( X, nil ) }.
% 0.70/1.10 (1455) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! neq( Y, nil ) }.
% 0.70/1.10 (1456) {G0,W9,D2,L3,V2,M3} { ! neq( X, nil ), neq( Y, nil ), alpha45( X, Y
% 0.70/1.10 ) }.
% 0.70/1.10 (1457) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( X, nil ) }.
% 0.70/1.10 (1458) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( Y, nil ) }.
% 0.70/1.10 (1459) {G0,W9,D2,L3,V2,M3} { ! neq( X, nil ), ! neq( Y, nil ), alpha44( X
% 0.70/1.10 , Y ) }.
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Total Proof:
% 0.70/1.10
% 0.70/1.10 *** allocated 113905 integers for clauses
% 0.70/1.10 eqswap: (1806) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.70/1.10 parent0[0]: (1449) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.10 parent0: (1806) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 *** allocated 50625 integers for termspace/termends
% 0.70/1.10 eqswap: (2154) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.70/1.10 parent0[0]: (1450) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.70/1.10 parent0: (2154) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 paramod: (3079) {G1,W6,D2,L2,V0,M2} { alpha44( skol49, skol46 ), alpha45(
% 0.70/1.10 skol49, skol51 ) }.
% 0.70/1.10 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.70/1.10 parent1[0; 2]: (1451) {G0,W6,D2,L2,V0,M2} { alpha44( skol49, skol50 ),
% 0.70/1.10 alpha45( skol49, skol51 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 paramod: (3080) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), alpha44(
% 0.70/1.10 skol49, skol46 ) }.
% 0.70/1.10 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.10 parent1[1; 2]: (3079) {G1,W6,D2,L2,V0,M2} { alpha44( skol49, skol46 ),
% 0.70/1.10 alpha45( skol49, skol51 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 subsumption: (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49,
% 0.70/1.10 skol46 ), alpha45( skol49, skol49 ) }.
% 0.70/1.10 parent0: (3080) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), alpha44(
% 0.70/1.10 skol49, skol46 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 permutation0:
% 0.70/1.10 0 ==> 1
% 0.70/1.10 1 ==> 0
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 *** allocated 170857 integers for clauses
% 0.70/1.10 *** allocated 75937 integers for termspace/termends
% 0.70/1.10 paramod: (4293) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), segmentP
% 0.70/1.10 ( skol51, skol50 ) }.
% 0.70/1.10 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.10 parent1[1; 2]: (1452) {G0,W6,D2,L2,V0,M2} { segmentP( skol51, skol50 ),
% 0.70/1.10 alpha45( skol49, skol51 ) }.
% 0.70/1.10 substitution0:
% 0.70/1.10 end
% 0.70/1.10 substitution1:
% 0.70/1.10 end
% 0.70/1.10
% 0.70/1.10 paramod: (4295) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol50 ), alpha45
% 0.70/1.10 ( skol49, skol49 ) }.
% 0.70/1.10 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.11 parent1[1; 1]: (4293) {G1,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ),
% 0.70/1.11 segmentP( skol51, skol50 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 paramod: (4296) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ), alpha45
% 0.70/1.11 ( skol49, skol49 ) }.
% 0.70/1.11 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.70/1.11 parent1[0; 2]: (4295) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol50 ),
% 0.70/1.11 alpha45( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (282) {G1,W6,D2,L2,V0,M2} I;d(279);d(279);d(280) { alpha45(
% 0.70/1.11 skol49, skol49 ), segmentP( skol49, skol46 ) }.
% 0.70/1.11 parent0: (4296) {G1,W6,D2,L2,V0,M2} { segmentP( skol49, skol46 ), alpha45
% 0.70/1.11 ( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 paramod: (4944) {G1,W9,D2,L3,V0,M3} { alpha45( skol49, skol49 ), ! neq(
% 0.70/1.11 skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.70/1.11 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.70/1.11 parent1[2; 2]: (1453) {G0,W9,D2,L3,V0,M3} { ! neq( skol46, nil ), !
% 0.70/1.11 segmentP( skol49, skol46 ), alpha45( skol49, skol51 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (4945) {G2,W9,D2,L3,V0,M3} { alpha45( skol49, skol49 ), ! neq
% 0.70/1.11 ( skol46, nil ), alpha45( skol49, skol49 ) }.
% 0.70/1.11 parent0[2]: (4944) {G1,W9,D2,L3,V0,M3} { alpha45( skol49, skol49 ), ! neq
% 0.70/1.11 ( skol46, nil ), ! segmentP( skol49, skol46 ) }.
% 0.70/1.11 parent1[1]: (282) {G1,W6,D2,L2,V0,M2} I;d(279);d(279);d(280) { alpha45(
% 0.70/1.11 skol49, skol49 ), segmentP( skol49, skol46 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 factor: (4946) {G2,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), ! neq(
% 0.70/1.11 skol46, nil ) }.
% 0.70/1.11 parent0[0, 2]: (4945) {G2,W9,D2,L3,V0,M3} { alpha45( skol49, skol49 ), !
% 0.70/1.11 neq( skol46, nil ), alpha45( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (283) {G2,W6,D2,L2,V0,M2} I;d(279);r(282) { ! neq( skol46, nil
% 0.70/1.11 ), alpha45( skol49, skol49 ) }.
% 0.70/1.11 parent0: (4946) {G2,W6,D2,L2,V0,M2} { alpha45( skol49, skol49 ), ! neq(
% 0.70/1.11 skol46, nil ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil )
% 0.70/1.11 }.
% 0.70/1.11 parent0: (1454) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), neq( X, nil ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil
% 0.70/1.11 ) }.
% 0.70/1.11 parent0: (1455) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), ! neq( Y, nil )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (288) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( Y, nil )
% 0.70/1.11 }.
% 0.70/1.11 parent0: (1458) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), neq( Y, nil ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (5991) {G1,W6,D2,L2,V3,M2} { ! alpha45( X, Y ), ! alpha45( Y,
% 0.70/1.11 Z ) }.
% 0.70/1.11 parent0[1]: (285) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), ! neq( Y, nil
% 0.70/1.11 ) }.
% 0.70/1.11 parent1[1]: (284) {G0,W6,D2,L2,V2,M2} I { ! alpha45( X, Y ), neq( X, nil )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := Z
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (767) {G1,W6,D2,L2,V3,M2} R(284,285) { ! alpha45( X, Y ), !
% 0.70/1.11 alpha45( Z, X ) }.
% 0.70/1.11 parent0: (5991) {G1,W6,D2,L2,V3,M2} { ! alpha45( X, Y ), ! alpha45( Y, Z )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Z
% 0.70/1.11 Y := X
% 0.70/1.11 Z := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 factor: (5993) {G1,W3,D2,L1,V1,M1} { ! alpha45( X, X ) }.
% 0.70/1.11 parent0[0, 1]: (767) {G1,W6,D2,L2,V3,M2} R(284,285) { ! alpha45( X, Y ), !
% 0.70/1.11 alpha45( Z, X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := X
% 0.70/1.11 Z := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (773) {G2,W3,D2,L1,V1,M1} F(767) { ! alpha45( X, X ) }.
% 0.70/1.11 parent0: (5993) {G1,W3,D2,L1,V1,M1} { ! alpha45( X, X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (5994) {G3,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.70/1.11 parent0[0]: (773) {G2,W3,D2,L1,V1,M1} F(767) { ! alpha45( X, X ) }.
% 0.70/1.11 parent1[1]: (283) {G2,W6,D2,L2,V0,M2} I;d(279);r(282) { ! neq( skol46, nil
% 0.70/1.11 ), alpha45( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := skol49
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (1097) {G3,W3,D2,L1,V0,M1} S(283);r(773) { ! neq( skol46, nil
% 0.70/1.11 ) }.
% 0.70/1.11 parent0: (5994) {G3,W3,D2,L1,V0,M1} { ! neq( skol46, nil ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (5995) {G1,W3,D2,L1,V1,M1} { ! alpha44( X, skol46 ) }.
% 0.70/1.11 parent0[0]: (1097) {G3,W3,D2,L1,V0,M1} S(283);r(773) { ! neq( skol46, nil )
% 0.70/1.11 }.
% 0.70/1.11 parent1[1]: (288) {G0,W6,D2,L2,V2,M2} I { ! alpha44( X, Y ), neq( Y, nil )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := skol46
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (1100) {G4,W3,D2,L1,V1,M1} R(1097,288) { ! alpha44( X, skol46
% 0.70/1.11 ) }.
% 0.70/1.11 parent0: (5995) {G1,W3,D2,L1,V1,M1} { ! alpha44( X, skol46 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (5996) {G2,W3,D2,L1,V0,M1} { alpha45( skol49, skol49 ) }.
% 0.70/1.11 parent0[0]: (1100) {G4,W3,D2,L1,V1,M1} R(1097,288) { ! alpha44( X, skol46 )
% 0.70/1.11 }.
% 0.70/1.11 parent1[0]: (281) {G1,W6,D2,L2,V0,M2} I;d(280);d(279) { alpha44( skol49,
% 0.70/1.11 skol46 ), alpha45( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := skol49
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (5997) {G3,W0,D0,L0,V0,M0} { }.
% 0.70/1.11 parent0[0]: (773) {G2,W3,D2,L1,V1,M1} F(767) { ! alpha45( X, X ) }.
% 0.70/1.11 parent1[0]: (5996) {G2,W3,D2,L1,V0,M1} { alpha45( skol49, skol49 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := skol49
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (1167) {G5,W0,D0,L0,V0,M0} S(281);r(1100);r(773) { }.
% 0.70/1.11 parent0: (5997) {G3,W0,D0,L0,V0,M0} { }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 Proof check complete!
% 0.70/1.11
% 0.70/1.11 Memory use:
% 0.70/1.11
% 0.70/1.11 space for terms: 22848
% 0.70/1.11 space for clauses: 61664
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 clauses generated: 2050
% 0.70/1.11 clauses kept: 1168
% 0.70/1.11 clauses selected: 156
% 0.70/1.11 clauses deleted: 11
% 0.70/1.11 clauses inuse deleted: 0
% 0.70/1.11
% 0.70/1.11 subsentry: 28061
% 0.70/1.11 literals s-matched: 15041
% 0.70/1.11 literals matched: 13348
% 0.70/1.11 full subsumption: 8081
% 0.70/1.11
% 0.70/1.11 checksum: 886119926
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Bliksem ended
%------------------------------------------------------------------------------