TSTP Solution File: SWC103+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC103+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 19:33:50 EDT 2022
% Result : Theorem 0.82s 1.20s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC103+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sun Jun 12 07:14:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.19 *** allocated 10000 integers for termspace/termends
% 0.42/1.19 *** allocated 10000 integers for clauses
% 0.42/1.19 *** allocated 10000 integers for justifications
% 0.42/1.19 Bliksem 1.12
% 0.42/1.19
% 0.42/1.19
% 0.42/1.19 Automatic Strategy Selection
% 0.42/1.19
% 0.42/1.19 *** allocated 15000 integers for termspace/termends
% 0.42/1.19
% 0.42/1.19 Clauses:
% 0.42/1.19
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.42/1.19 { ssItem( skol1 ) }.
% 0.42/1.19 { ssItem( skol47 ) }.
% 0.42/1.19 { ! skol1 = skol47 }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.42/1.19 }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.42/1.19 Y ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.42/1.19 ( X, Y ) }.
% 0.42/1.19 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.42/1.19 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.42/1.19 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.42/1.19 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.42/1.19 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.42/1.19 ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.42/1.19 ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.42/1.19 ( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.42/1.19 }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.42/1.19 = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.42/1.19 ( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.42/1.19 }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.42/1.19 , Y ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.42/1.19 segmentP( X, Y ) }.
% 0.42/1.19 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.42/1.19 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.42/1.19 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.42/1.19 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.42/1.19 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.42/1.19 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.42/1.19 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.42/1.19 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.42/1.19 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, alpha12( Y, Z ) }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.42/1.19 { leq( X, Y ), alpha12( X, Y ) }.
% 0.42/1.19 { leq( Y, X ), alpha12( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.42/1.19 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.42/1.19 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.42/1.19 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.42/1.19 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.42/1.19 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, alpha13( Y, Z ) }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.42/1.19 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.42/1.19 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.42/1.19 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.42/1.19 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.42/1.19 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.42/1.19 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.42/1.19 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, alpha14( Y, Z ) }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.42/1.19 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.42/1.19 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.42/1.19 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.42/1.19 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.42/1.19 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.42/1.19 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.42/1.19 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, leq( Y, Z ) }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.42/1.19 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.42/1.19 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.42/1.19 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.42/1.19 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.42/1.19 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, lt( Y, Z ) }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.42/1.19 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.42/1.19 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.42/1.19 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.42/1.19 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.42/1.19 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.42/1.19 .
% 0.42/1.19 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.42/1.19 , U ) }.
% 0.42/1.19 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.42/1.19 ) ) = X, ! Y = Z }.
% 0.42/1.19 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.42/1.19 W ) }.
% 0.42/1.19 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.42/1.19 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.42/1.19 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.42/1.19 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.42/1.19 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.42/1.19 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.42/1.19 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.42/1.19 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.42/1.19 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.42/1.19 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.42/1.19 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.42/1.19 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.42/1.19 Z }.
% 0.42/1.19 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.42/1.19 { ssList( nil ) }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.42/1.19 ) = cons( T, Y ), Z = T }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.42/1.19 ) = cons( T, Y ), Y = X }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.42/1.19 ( cons( Z, Y ), X ) }.
% 0.42/1.19 { ! ssList( X ), app( nil, X ) = X }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.42/1.19 , leq( X, Z ) }.
% 0.42/1.19 { ! ssItem( X ), leq( X, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.42/1.19 lt( X, Z ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.42/1.19 , memberP( Y, X ), memberP( Z, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.42/1.19 app( Y, Z ), X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.42/1.19 app( Y, Z ), X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.42/1.19 , X = Y, memberP( Z, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.42/1.19 ), X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.42/1.19 cons( Y, Z ), X ) }.
% 0.42/1.19 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.42/1.19 { ! singletonP( nil ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.42/1.19 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.42/1.19 = Y }.
% 0.42/1.19 { ! ssList( X ), frontsegP( X, X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.42/1.19 frontsegP( app( X, Z ), Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.42/1.19 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.42/1.19 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.42/1.19 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.42/1.19 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.42/1.19 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.42/1.19 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.42/1.19 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.42/1.19 Y }.
% 0.42/1.19 { ! ssList( X ), rearsegP( X, X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.42/1.19 ( app( Z, X ), Y ) }.
% 0.42/1.19 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.42/1.19 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.42/1.19 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.42/1.19 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.42/1.19 Y }.
% 0.42/1.19 { ! ssList( X ), segmentP( X, X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.42/1.19 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.42/1.19 { ! ssList( X ), segmentP( X, nil ) }.
% 0.42/1.19 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.42/1.19 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.42/1.19 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.42/1.19 { cyclefreeP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.42/1.19 { totalorderP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.42/1.19 { strictorderP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.42/1.19 { totalorderedP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.42/1.19 alpha10( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.42/1.19 .
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.42/1.19 Y ) ) }.
% 0.42/1.19 { ! alpha10( X, Y ), ! nil = Y }.
% 0.42/1.19 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.42/1.19 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.42/1.19 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.42/1.19 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.42/1.19 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.42/1.19 { strictorderedP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.42/1.19 alpha11( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.42/1.19 .
% 0.42/1.19 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.42/1.19 , Y ) ) }.
% 0.42/1.19 { ! alpha11( X, Y ), ! nil = Y }.
% 0.42/1.19 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.42/1.19 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.42/1.19 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.42/1.19 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.42/1.19 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.42/1.19 { duplicatefreeP( nil ) }.
% 0.42/1.19 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.42/1.19 { equalelemsP( nil ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.42/1.19 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.42/1.19 ( Y ) = tl( X ), Y = X }.
% 0.42/1.19 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.42/1.19 , Z = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.42/1.19 , Z = X }.
% 0.42/1.19 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.42/1.19 ( X, app( Y, Z ) ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.42/1.19 { ! ssList( X ), app( X, nil ) = X }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.42/1.19 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.42/1.19 Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.42/1.19 , geq( X, Z ) }.
% 0.42/1.19 { ! ssItem( X ), geq( X, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! lt( X, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.42/1.19 , lt( X, Z ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.42/1.19 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.42/1.19 gt( X, Z ) }.
% 0.42/1.19 { ssList( skol46 ) }.
% 0.42/1.19 { ssList( skol49 ) }.
% 0.42/1.19 { ssList( skol50 ) }.
% 0.42/1.19 { ssList( skol51 ) }.
% 0.42/1.19 { skol49 = skol51 }.
% 0.42/1.19 { skol46 = skol50 }.
% 0.42/1.19 { neq( skol49, nil ) }.
% 0.42/1.19 { nil = skol50, ! nil = skol51 }.
% 0.42/1.19 { ! neq( skol46, nil ), ! frontsegP( skol49, skol46 ) }.
% 0.42/1.19 { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.42/1.19 { ! neq( skol51, nil ), frontsegP( skol51, skol50 ) }.
% 0.42/1.19
% 0.42/1.19 *** allocated 15000 integers for clauses
% 0.42/1.19 percentage equality = 0.129147, percentage horn = 0.762238
% 0.42/1.19 This is a problem with some equality
% 0.42/1.19
% 0.42/1.19
% 0.42/1.19
% 0.42/1.19 Options Used:
% 0.42/1.19
% 0.42/1.19 useres = 1
% 0.42/1.19 useparamod = 1
% 0.42/1.19 useeqrefl = 1
% 0.42/1.19 useeqfact = 1
% 0.42/1.19 usefactor = 1
% 0.42/1.19 usesimpsplitting = 0
% 0.42/1.19 usesimpdemod = 5
% 0.42/1.19 usesimpres = 3
% 0.42/1.19
% 0.42/1.19 resimpinuse = 1000
% 0.42/1.19 resimpclauses = 20000
% 0.42/1.19 substype = eqrewr
% 0.42/1.19 backwardsubs = 1
% 0.42/1.19 selectoldest = 5
% 0.42/1.19
% 0.42/1.19 litorderings [0] = split
% 0.42/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.19
% 0.42/1.19 termordering = kbo
% 0.42/1.19
% 0.42/1.19 litapriori = 0
% 0.42/1.19 termapriori = 1
% 0.42/1.19 litaposteriori = 0
% 0.42/1.19 termaposteriori = 0
% 0.42/1.19 demodaposteriori = 0
% 0.42/1.19 ordereqreflfact = 0
% 0.42/1.19
% 0.42/1.19 litselect = negord
% 0.42/1.19
% 0.42/1.19 maxweight = 15
% 0.42/1.19 maxdepth = 30000
% 0.42/1.19 maxlength = 115
% 0.42/1.19 maxnrvars = 195
% 0.42/1.19 excuselevel = 1
% 0.42/1.19 increasemaxweight = 1
% 0.42/1.19
% 0.42/1.19 maxselected = 10000000
% 0.42/1.19 maxnrclauses = 10000000
% 0.42/1.19
% 0.42/1.19 showgenerated = 0
% 0.42/1.19 showkept = 0
% 0.42/1.19 showselected = 0
% 0.42/1.19 showdeleted = 0
% 0.42/1.19 showresimp = 1
% 0.42/1.19 showstatus = 2000
% 0.42/1.19
% 0.42/1.19 prologoutput = 0
% 0.42/1.19 nrgoals = 5000000
% 0.42/1.19 totalproof = 1
% 0.42/1.19
% 0.42/1.19 Symbols occurring in the translation:
% 0.42/1.19
% 0.42/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.19 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.19 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.42/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.19 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.42/1.19 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.42/1.19 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.42/1.19 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.42/1.19 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.42/1.19 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.42/1.19 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.42/1.19 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.42/1.19 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.42/1.19 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.82/1.20 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.82/1.20 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.82/1.20 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.82/1.20 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.82/1.20 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.82/1.20 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.82/1.20 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.82/1.20 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.82/1.20 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.82/1.20 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.82/1.20 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.82/1.20 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.82/1.20 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.82/1.20 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.82/1.20 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 0.82/1.20 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 0.82/1.20 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.82/1.20 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.82/1.20 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 0.82/1.20 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 0.82/1.20 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 0.82/1.20 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 0.82/1.20 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.82/1.20 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.82/1.20 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.82/1.20 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.82/1.20 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.82/1.20 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.82/1.20 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 0.82/1.20 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 0.82/1.20 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 0.82/1.20 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 0.82/1.20 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.82/1.20 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.82/1.20 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 0.82/1.20 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.82/1.20 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.82/1.20 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 0.82/1.20 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 0.82/1.20 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 0.82/1.20 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 0.82/1.20 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 0.82/1.20 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 0.82/1.20 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 0.82/1.20 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 0.82/1.20 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 0.82/1.20 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 0.82/1.20 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 0.82/1.20 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 0.82/1.20 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 0.82/1.20 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 0.82/1.20 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 0.82/1.20 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 0.82/1.20 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 0.82/1.20 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 0.82/1.20 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 0.82/1.20 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 0.82/1.20 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.82/1.20 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.82/1.20 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.82/1.20 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 0.82/1.20 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.82/1.20 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.82/1.20 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.82/1.20 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.82/1.20 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 0.82/1.20 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.82/1.20 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.82/1.20 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.82/1.20 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.82/1.20 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 0.82/1.20 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.82/1.20 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.82/1.20 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.82/1.20 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.82/1.20 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 0.82/1.20 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.82/1.20 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.82/1.20 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.82/1.20 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.82/1.20 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 0.82/1.20 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.82/1.20 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.82/1.20 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.82/1.20 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.82/1.20 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 0.82/1.20 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.82/1.20 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.82/1.20 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.82/1.20 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.82/1.20 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 0.82/1.20 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 0.82/1.20 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 0.82/1.20 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.82/1.20 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.82/1.20 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 0.82/1.20 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.82/1.20 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 0.82/1.20 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.82/1.20 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 0.82/1.20 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.82/1.20 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.82/1.20 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 0.82/1.20 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 0.82/1.20 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.82/1.20 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 0.82/1.20 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.82/1.20 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Starting Search:
% 0.82/1.20
% 0.82/1.20 *** allocated 22500 integers for clauses
% 0.82/1.20 *** allocated 33750 integers for clauses
% 0.82/1.20 *** allocated 50625 integers for clauses
% 0.82/1.20 *** allocated 22500 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Bliksems!, er is een bewijs:
% 0.82/1.20 % SZS status Theorem
% 0.82/1.20 % SZS output start Refutation
% 0.82/1.20
% 0.82/1.20 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.82/1.20 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.82/1.20 (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.82/1.20 (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! frontsegP( skol49,
% 0.82/1.20 skol46 ) }.
% 0.82/1.20 (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46, nil ) }.
% 0.82/1.20 (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) { frontsegP( skol49
% 0.82/1.20 , skol46 ) }.
% 0.82/1.20 (877) {G2,W0,D0,L0,V0,M0} S(283);r(284);r(285) { }.
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 % SZS output end Refutation
% 0.82/1.20 found a proof!
% 0.82/1.20
% 0.82/1.20 *** allocated 75937 integers for clauses
% 0.82/1.20
% 0.82/1.20 Unprocessed initial clauses:
% 0.82/1.20
% 0.82/1.20 (879) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ),
% 0.82/1.20 ! X = Y }.
% 0.82/1.20 (880) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (881) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 0.82/1.20 (882) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 0.82/1.20 (883) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 0.82/1.20 (884) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.82/1.20 ), ssList( skol2( Z, T ) ) }.
% 0.82/1.20 (885) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y
% 0.82/1.20 ), alpha1( X, Y, skol2( X, Y ) ) }.
% 0.82/1.20 (886) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ),
% 0.82/1.20 ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 0.82/1.20 (887) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W )
% 0.82/1.20 ) }.
% 0.82/1.20 (888) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3(
% 0.82/1.20 X, Y, Z ) ) ) = X }.
% 0.82/1.20 (889) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X,
% 0.82/1.20 alpha1( X, Y, Z ) }.
% 0.82/1.20 (890) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 0.82/1.20 skol4( Y ) ) }.
% 0.82/1.20 (891) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons( skol4
% 0.82/1.20 ( X ), nil ) = X }.
% 0.82/1.20 (892) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil
% 0.82/1.20 ) = X, singletonP( X ) }.
% 0.82/1.20 (893) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.82/1.20 , Y ), ssList( skol5( Z, T ) ) }.
% 0.82/1.20 (894) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.82/1.20 , Y ), app( Y, skol5( X, Y ) ) = X }.
% 0.82/1.20 (895) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.82/1.20 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 0.82/1.20 (896) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.82/1.20 Y ), ssList( skol6( Z, T ) ) }.
% 0.82/1.20 (897) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X,
% 0.82/1.20 Y ), app( skol6( X, Y ), Y ) = X }.
% 0.82/1.20 (898) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.82/1.20 ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 0.82/1.20 (899) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.82/1.20 Y ), ssList( skol7( Z, T ) ) }.
% 0.82/1.20 (900) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X,
% 0.82/1.20 Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 0.82/1.20 (901) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 0.82/1.20 ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 0.82/1.20 (902) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W )
% 0.82/1.20 ) }.
% 0.82/1.20 (903) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8
% 0.82/1.20 ( X, Y, Z ) ) = X }.
% 0.82/1.20 (904) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X,
% 0.82/1.20 alpha2( X, Y, Z ) }.
% 0.82/1.20 (905) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y
% 0.82/1.20 ), alpha3( X, Y ) }.
% 0.82/1.20 (906) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 0.82/1.20 cyclefreeP( X ) }.
% 0.82/1.20 (907) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 0.82/1.20 cyclefreeP( X ) }.
% 0.82/1.20 (908) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y
% 0.82/1.20 , Z ) }.
% 0.82/1.20 (909) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.82/1.20 (910) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (911) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (912) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (913) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 0.82/1.20 alpha21( X, Y, Z ) }.
% 0.82/1.20 (914) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha35( X, Y, Z, T, U ) }.
% 0.82/1.20 (915) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (916) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) )
% 0.82/1.20 , alpha28( X, Y, Z, T ) }.
% 0.82/1.20 (917) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha41( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (918) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha35( X, Y, Z, T, U ) }.
% 0.82/1.20 (919) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.20 (920) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 0.82/1.20 (921) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.82/1.20 X, alpha41( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (922) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W
% 0.82/1.20 ) }.
% 0.82/1.20 (923) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X
% 0.82/1.20 ) }.
% 0.82/1.20 (924) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 0.82/1.20 (925) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 0.82/1.20 (926) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y
% 0.82/1.20 ), alpha4( X, Y ) }.
% 0.82/1.20 (927) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 0.82/1.20 totalorderP( X ) }.
% 0.82/1.20 (928) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 0.82/1.20 totalorderP( X ) }.
% 0.82/1.20 (929) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y
% 0.82/1.20 , Z ) }.
% 0.82/1.20 (930) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.82/1.20 (931) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (932) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (933) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (934) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 0.82/1.20 alpha22( X, Y, Z ) }.
% 0.82/1.20 (935) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha36( X, Y, Z, T, U ) }.
% 0.82/1.20 (936) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (937) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) )
% 0.82/1.20 , alpha29( X, Y, Z, T ) }.
% 0.82/1.20 (938) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha42( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (939) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha36( X, Y, Z, T, U ) }.
% 0.82/1.20 (940) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.20 (941) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 0.82/1.20 (942) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.82/1.20 X, alpha42( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (943) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W
% 0.82/1.20 ) }.
% 0.82/1.20 (944) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 0.82/1.20 }.
% 0.82/1.20 (945) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.82/1.20 (946) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.82/1.20 (947) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem(
% 0.82/1.20 Y ), alpha5( X, Y ) }.
% 0.82/1.20 (948) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 0.82/1.20 strictorderP( X ) }.
% 0.82/1.20 (949) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 0.82/1.20 strictorderP( X ) }.
% 0.82/1.20 (950) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y
% 0.82/1.20 , Z ) }.
% 0.82/1.20 (951) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.82/1.20 (952) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (953) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (954) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (955) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 0.82/1.20 alpha23( X, Y, Z ) }.
% 0.82/1.20 (956) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha37( X, Y, Z, T, U ) }.
% 0.82/1.20 (957) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (958) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) )
% 0.82/1.20 , alpha30( X, Y, Z, T ) }.
% 0.82/1.20 (959) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (960) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha37( X, Y, Z, T, U ) }.
% 0.82/1.20 (961) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.20 (962) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 0.82/1.20 (963) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.82/1.20 X, alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (964) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W
% 0.82/1.20 ) }.
% 0.82/1.20 (965) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.82/1.20 (966) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.82/1.20 (967) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.82/1.20 (968) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), ! ssItem
% 0.82/1.20 ( Y ), alpha6( X, Y ) }.
% 0.82/1.20 (969) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 0.82/1.20 totalorderedP( X ) }.
% 0.82/1.20 (970) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 0.82/1.20 totalorderedP( X ) }.
% 0.82/1.20 (971) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y
% 0.82/1.20 , Z ) }.
% 0.82/1.20 (972) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.82/1.20 (973) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (974) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (975) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (976) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 0.82/1.20 alpha15( X, Y, Z ) }.
% 0.82/1.20 (977) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha31( X, Y, Z, T, U ) }.
% 0.82/1.20 (978) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (979) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) )
% 0.82/1.20 , alpha24( X, Y, Z, T ) }.
% 0.82/1.20 (980) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha38( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (981) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha31( X, Y, Z, T, U ) }.
% 0.82/1.20 (982) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha31( X, Y, Z, T, U ) }.
% 0.82/1.20 (983) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 0.82/1.20 (984) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) ) =
% 0.82/1.20 X, alpha38( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (985) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 0.82/1.20 }.
% 0.82/1.20 (986) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), ! ssItem
% 0.82/1.20 ( Y ), alpha7( X, Y ) }.
% 0.82/1.20 (987) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 0.82/1.20 strictorderedP( X ) }.
% 0.82/1.20 (988) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 0.82/1.20 strictorderedP( X ) }.
% 0.82/1.20 (989) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y
% 0.82/1.20 , Z ) }.
% 0.82/1.20 (990) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.82/1.20 (991) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X,
% 0.82/1.20 Y ) }.
% 0.82/1.20 (992) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (993) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (994) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 0.82/1.20 alpha16( X, Y, Z ) }.
% 0.82/1.20 (995) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha32( X, Y, Z, T, U ) }.
% 0.82/1.20 (996) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (997) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) )
% 0.82/1.20 , alpha25( X, Y, Z, T ) }.
% 0.82/1.20 (998) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (999) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha32( X, Y, Z, T, U ) }.
% 0.82/1.20 (1000) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha32( X, Y, Z, T, U ) }.
% 0.82/1.20 (1001) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 0.82/1.20 (1002) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.82/1.20 = X, alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (1003) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 0.82/1.20 }.
% 0.82/1.20 (1004) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 0.82/1.20 ssItem( Y ), alpha8( X, Y ) }.
% 0.82/1.20 (1005) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 0.82/1.20 duplicatefreeP( X ) }.
% 0.82/1.20 (1006) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 0.82/1.20 duplicatefreeP( X ) }.
% 0.82/1.20 (1007) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X,
% 0.82/1.20 Y, Z ) }.
% 0.82/1.20 (1008) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.82/1.20 (1009) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 0.82/1.20 , Y ) }.
% 0.82/1.20 (1010) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (1011) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (1012) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 0.82/1.20 alpha17( X, Y, Z ) }.
% 0.82/1.20 (1013) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha33( X, Y, Z, T, U ) }.
% 0.82/1.20 (1014) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (1015) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 0.82/1.20 ), alpha26( X, Y, Z, T ) }.
% 0.82/1.20 (1016) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 0.82/1.20 alpha40( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (1017) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 0.82/1.20 alpha33( X, Y, Z, T, U ) }.
% 0.82/1.20 (1018) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T
% 0.82/1.20 , U ) ), alpha33( X, Y, Z, T, U ) }.
% 0.82/1.20 (1019) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T
% 0.82/1.20 , cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 0.82/1.20 (1020) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 0.82/1.20 = X, alpha40( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (1021) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.82/1.20 (1022) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem(
% 0.82/1.20 Y ), alpha9( X, Y ) }.
% 0.82/1.20 (1023) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 0.82/1.20 equalelemsP( X ) }.
% 0.82/1.20 (1024) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 0.82/1.20 equalelemsP( X ) }.
% 0.82/1.20 (1025) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X,
% 0.82/1.20 Y, Z ) }.
% 0.82/1.20 (1026) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.82/1.20 (1027) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 0.82/1.20 , Y ) }.
% 0.82/1.20 (1028) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 (1029) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z
% 0.82/1.20 ) }.
% 0.82/1.20 (1030) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 0.82/1.20 alpha18( X, Y, Z ) }.
% 0.82/1.20 (1031) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 0.82/1.20 alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 (1032) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27( X
% 0.82/1.20 , Y, Z, T ) }.
% 0.82/1.20 (1033) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 0.82/1.20 ), alpha27( X, Y, Z, T ) }.
% 0.82/1.20 (1034) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons(
% 0.82/1.20 Y, cons( Z, U ) ) ) = X, Y = Z }.
% 0.82/1.20 (1035) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 0.82/1.20 alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 (1036) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 (1037) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 0.82/1.20 , ! X = Y }.
% 0.82/1.20 (1038) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 0.82/1.20 , Y ) }.
% 0.82/1.20 (1039) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y
% 0.82/1.20 , X ) ) }.
% 0.82/1.20 (1040) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 0.82/1.20 (1041) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 0.82/1.20 = X }.
% 0.82/1.20 (1042) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.82/1.20 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 0.82/1.20 (1043) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.82/1.20 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 0.82/1.20 (1044) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y ) )
% 0.82/1.20 }.
% 0.82/1.20 (1045) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y ) )
% 0.82/1.20 }.
% 0.82/1.20 (1046) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 0.82/1.20 skol43( X ) ) = X }.
% 0.82/1.20 (1047) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y
% 0.82/1.20 , X ) }.
% 0.82/1.20 (1048) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.82/1.20 (1049) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X
% 0.82/1.20 ) ) = Y }.
% 0.82/1.20 (1050) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.82/1.20 (1051) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X
% 0.82/1.20 ) ) = X }.
% 0.82/1.20 (1052) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 0.82/1.20 , Y ) ) }.
% 0.82/1.20 (1053) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 0.82/1.20 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 0.82/1.20 (1054) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 0.82/1.20 (1055) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.82/1.20 , ! leq( Y, X ), X = Y }.
% 0.82/1.20 (1056) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.82/1.20 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 0.82/1.20 (1057) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 0.82/1.20 (1058) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.82/1.20 , leq( Y, X ) }.
% 0.82/1.20 (1059) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 0.82/1.20 , geq( X, Y ) }.
% 0.82/1.20 (1060) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.82/1.20 ! lt( Y, X ) }.
% 0.82/1.20 (1061) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.82/1.20 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.82/1.20 (1062) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.82/1.20 lt( Y, X ) }.
% 0.82/1.20 (1063) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ),
% 0.82/1.20 gt( X, Y ) }.
% 0.82/1.20 (1064) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.20 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 0.82/1.20 (1065) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.20 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 0.82/1.20 (1066) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.20 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 0.82/1.20 (1067) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.20 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 0.82/1.20 (1068) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.20 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 0.82/1.20 (1069) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.20 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 0.82/1.20 (1070) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.82/1.20 (1071) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 0.82/1.20 (1072) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.20 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.82/1.20 (1073) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 0.82/1.20 , Y ), ! frontsegP( Y, X ), X = Y }.
% 0.82/1.20 (1074) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 0.82/1.20 (1075) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.20 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 0.82/1.20 (1076) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.20 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.82/1.20 (1077) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.20 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 0.82/1.21 , T ) }.
% 0.82/1.21 (1078) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 0.82/1.21 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 0.82/1.21 cons( Y, T ) ) }.
% 0.82/1.21 (1079) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 0.82/1.21 (1080) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil = X
% 0.82/1.21 }.
% 0.82/1.21 (1081) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 0.82/1.21 }.
% 0.82/1.21 (1082) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.82/1.21 (1083) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 0.82/1.21 , Y ), ! rearsegP( Y, X ), X = Y }.
% 0.82/1.21 (1084) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 0.82/1.21 (1085) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 0.82/1.21 (1086) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 0.82/1.21 (1087) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 0.82/1.21 }.
% 0.82/1.21 (1088) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 0.82/1.21 }.
% 0.82/1.21 (1089) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.82/1.21 (1090) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 0.82/1.21 , Y ), ! segmentP( Y, X ), X = Y }.
% 0.82/1.21 (1091) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 0.82/1.21 (1092) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 0.82/1.21 }.
% 0.82/1.21 (1093) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 0.82/1.21 (1094) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 0.82/1.21 }.
% 0.82/1.21 (1095) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 0.82/1.21 }.
% 0.82/1.21 (1096) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 0.82/1.21 }.
% 0.82/1.21 (1097) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 0.82/1.21 (1098) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 0.82/1.21 }.
% 0.82/1.21 (1099) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 0.82/1.21 (1100) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil ) )
% 0.82/1.21 }.
% 0.82/1.21 (1101) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 0.82/1.21 (1102) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 0.82/1.21 ) }.
% 0.82/1.21 (1103) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 0.82/1.21 (1104) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.82/1.21 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 0.82/1.21 (1105) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.82/1.21 totalorderedP( cons( X, Y ) ) }.
% 0.82/1.21 (1106) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X,
% 0.82/1.21 Y ), totalorderedP( cons( X, Y ) ) }.
% 0.82/1.21 (1107) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 0.82/1.21 (1108) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.82/1.21 (1109) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 0.82/1.21 }.
% 0.82/1.21 (1110) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.82/1.21 (1111) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.82/1.21 (1112) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 0.82/1.21 alpha19( X, Y ) }.
% 0.82/1.21 (1113) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil )
% 0.82/1.21 ) }.
% 0.82/1.21 (1114) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 0.82/1.21 (1115) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 0.82/1.21 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 0.82/1.21 (1116) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 0.82/1.21 strictorderedP( cons( X, Y ) ) }.
% 0.82/1.21 (1117) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X,
% 0.82/1.21 Y ), strictorderedP( cons( X, Y ) ) }.
% 0.82/1.21 (1118) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 0.82/1.21 (1119) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.82/1.21 (1120) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 0.82/1.21 }.
% 0.82/1.21 (1121) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.82/1.21 (1122) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.82/1.21 (1123) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 0.82/1.21 alpha20( X, Y ) }.
% 0.82/1.21 (1124) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil )
% 0.82/1.21 ) }.
% 0.82/1.21 (1125) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 0.82/1.21 (1126) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 0.82/1.21 }.
% 0.82/1.21 (1127) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 0.82/1.21 (1128) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y ) )
% 0.82/1.21 }.
% 0.82/1.21 (1129) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 0.82/1.21 ) }.
% 0.82/1.21 (1130) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y ) )
% 0.82/1.21 }.
% 0.82/1.21 (1131) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 0.82/1.21 ) }.
% 0.82/1.21 (1132) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil =
% 0.82/1.21 X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 0.82/1.21 (1133) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl( X
% 0.82/1.21 ) ) = X }.
% 0.82/1.21 (1134) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 0.82/1.21 (1135) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 0.82/1.21 (1136) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) =
% 0.82/1.21 app( cons( Y, nil ), X ) }.
% 0.82/1.21 (1137) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 0.82/1.21 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 0.82/1.21 (1138) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.82/1.21 , Y ), nil = Y }.
% 0.82/1.21 (1139) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app( X
% 0.82/1.21 , Y ), nil = X }.
% 0.82/1.21 (1140) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 0.82/1.21 nil = X, nil = app( X, Y ) }.
% 0.82/1.21 (1141) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 0.82/1.21 (1142) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 0.82/1.21 app( X, Y ) ) = hd( X ) }.
% 0.82/1.21 (1143) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 0.82/1.21 app( X, Y ) ) = app( tl( X ), Y ) }.
% 0.82/1.21 (1144) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 0.82/1.21 , ! geq( Y, X ), X = Y }.
% 0.82/1.21 (1145) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.82/1.21 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 0.82/1.21 (1146) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 0.82/1.21 (1147) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 0.82/1.21 (1148) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.82/1.21 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 0.82/1.21 (1149) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 0.82/1.21 , X = Y, lt( X, Y ) }.
% 0.82/1.21 (1150) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.82/1.21 ! X = Y }.
% 0.82/1.21 (1151) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ),
% 0.82/1.21 leq( X, Y ) }.
% 0.82/1.21 (1152) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq(
% 0.82/1.21 X, Y ), lt( X, Y ) }.
% 0.82/1.21 (1153) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ),
% 0.82/1.21 ! gt( Y, X ) }.
% 0.82/1.21 (1154) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 0.82/1.21 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 0.82/1.21 (1155) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 0.82/1.21 (1156) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 0.82/1.21 (1157) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 0.82/1.23 (1158) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 0.82/1.23 (1159) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.82/1.23 (1160) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.82/1.23 (1161) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.82/1.23 (1162) {G0,W6,D2,L2,V0,M2} { nil = skol50, ! nil = skol51 }.
% 0.82/1.23 (1163) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! frontsegP( skol49,
% 0.82/1.23 skol46 ) }.
% 0.82/1.23 (1164) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq( skol50, nil ) }.
% 0.82/1.23 (1165) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), frontsegP( skol51,
% 0.82/1.23 skol50 ) }.
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 Total Proof:
% 0.82/1.23
% 0.82/1.23 *** allocated 33750 integers for termspace/termends
% 0.82/1.23 eqswap: (1512) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.82/1.23 parent0[0]: (1159) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.82/1.23 parent0: (1512) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 eqswap: (1860) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.82/1.23 parent0[0]: (1160) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.82/1.23 parent0: (1860) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 *** allocated 50625 integers for termspace/termends
% 0.82/1.23 *** allocated 113905 integers for clauses
% 0.82/1.23 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.82/1.23 parent0: (1161) {G0,W3,D2,L1,V0,M1} { neq( skol49, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), !
% 0.82/1.23 frontsegP( skol49, skol46 ) }.
% 0.82/1.23 parent0: (1163) {G0,W6,D2,L2,V0,M2} { ! neq( skol46, nil ), ! frontsegP(
% 0.82/1.23 skol49, skol46 ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 1 ==> 1
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 *** allocated 75937 integers for termspace/termends
% 0.82/1.23 paramod: (3501) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq( skol50,
% 0.82/1.23 nil ) }.
% 0.82/1.23 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.82/1.23 parent1[0; 2]: (1164) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ), neq(
% 0.82/1.23 skol50, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 paramod: (3502) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49,
% 0.82/1.23 nil ) }.
% 0.82/1.23 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.82/1.23 parent1[1; 1]: (3501) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), neq(
% 0.82/1.23 skol50, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 resolution: (3503) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 0.82/1.23 parent0[1]: (3502) {G1,W6,D2,L2,V0,M2} { neq( skol46, nil ), ! neq( skol49
% 0.82/1.23 , nil ) }.
% 0.82/1.23 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 0.82/1.23 , nil ) }.
% 0.82/1.23 parent0: (3503) {G1,W3,D2,L1,V0,M1} { neq( skol46, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 *** allocated 170857 integers for clauses
% 0.82/1.23 paramod: (4732) {G1,W6,D2,L2,V0,M2} { frontsegP( skol49, skol50 ), ! neq(
% 0.82/1.23 skol51, nil ) }.
% 0.82/1.23 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.82/1.23 parent1[1; 1]: (1165) {G0,W6,D2,L2,V0,M2} { ! neq( skol51, nil ),
% 0.82/1.23 frontsegP( skol51, skol50 ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 paramod: (4734) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ), frontsegP(
% 0.82/1.23 skol49, skol50 ) }.
% 0.82/1.23 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 0.82/1.23 parent1[1; 2]: (4732) {G1,W6,D2,L2,V0,M2} { frontsegP( skol49, skol50 ), !
% 0.82/1.23 neq( skol51, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 paramod: (4735) {G1,W6,D2,L2,V0,M2} { frontsegP( skol49, skol46 ), ! neq(
% 0.82/1.23 skol49, nil ) }.
% 0.82/1.23 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 0.82/1.23 parent1[1; 2]: (4734) {G1,W6,D2,L2,V0,M2} { ! neq( skol49, nil ),
% 0.82/1.23 frontsegP( skol49, skol50 ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 resolution: (4736) {G1,W3,D2,L1,V0,M1} { frontsegP( skol49, skol46 ) }.
% 0.82/1.23 parent0[1]: (4735) {G1,W6,D2,L2,V0,M2} { frontsegP( skol49, skol46 ), !
% 0.82/1.23 neq( skol49, nil ) }.
% 0.82/1.23 parent1[0]: (281) {G0,W3,D2,L1,V0,M1} I { neq( skol49, nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 0.82/1.23 frontsegP( skol49, skol46 ) }.
% 0.82/1.23 parent0: (4736) {G1,W3,D2,L1,V0,M1} { frontsegP( skol49, skol46 ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 0 ==> 0
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 resolution: (4737) {G1,W3,D2,L1,V0,M1} { ! frontsegP( skol49, skol46 ) }.
% 0.82/1.23 parent0[0]: (283) {G0,W6,D2,L2,V0,M2} I { ! neq( skol46, nil ), ! frontsegP
% 0.82/1.23 ( skol49, skol46 ) }.
% 0.82/1.23 parent1[0]: (284) {G1,W3,D2,L1,V0,M1} I;d(279);d(280);r(281) { neq( skol46
% 0.82/1.23 , nil ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 resolution: (4738) {G2,W0,D0,L0,V0,M0} { }.
% 0.82/1.23 parent0[0]: (4737) {G1,W3,D2,L1,V0,M1} { ! frontsegP( skol49, skol46 ) }.
% 0.82/1.23 parent1[0]: (285) {G1,W3,D2,L1,V0,M1} I;d(279);d(279);d(280);r(281) {
% 0.82/1.23 frontsegP( skol49, skol46 ) }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 substitution1:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 subsumption: (877) {G2,W0,D0,L0,V0,M0} S(283);r(284);r(285) { }.
% 0.82/1.23 parent0: (4738) {G2,W0,D0,L0,V0,M0} { }.
% 0.82/1.23 substitution0:
% 0.82/1.23 end
% 0.82/1.23 permutation0:
% 0.82/1.23 end
% 0.82/1.23
% 0.82/1.23 Proof check complete!
% 0.82/1.23
% 0.82/1.23 Memory use:
% 0.82/1.23
% 0.82/1.23 space for terms: 18923
% 0.82/1.23 space for clauses: 48007
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 clauses generated: 1608
% 0.82/1.23 clauses kept: 878
% 0.82/1.23 clauses selected: 117
% 0.82/1.23 clauses deleted: 6
% 0.82/1.23 clauses inuse deleted: 0
% 0.82/1.23
% 0.82/1.23 subsentry: 22008
% 0.82/1.23 literals s-matched: 11723
% 0.82/1.23 literals matched: 10388
% 0.82/1.23 full subsumption: 6247
% 0.82/1.23
% 0.82/1.23 checksum: -1197765983
% 0.82/1.23
% 0.82/1.23
% 0.82/1.23 Bliksem ended
%------------------------------------------------------------------------------