TSTP Solution File: SWC041+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC041+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 19:33:15 EDT 2022
% Result : Theorem 1.42s 1.77s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC041+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : bliksem %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % DateTime : Sun Jun 12 12:18:37 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.82/1.20 { ssItem( skol1 ) }.
% 0.82/1.20 { ssItem( skol47 ) }.
% 0.82/1.20 { ! skol1 = skol47 }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.82/1.20 }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.82/1.20 Y ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.82/1.20 ( X, Y ) }.
% 0.82/1.20 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.82/1.20 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.82/1.20 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.82/1.20 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.82/1.20 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.82/1.20 ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.82/1.20 ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.82/1.20 ( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.82/1.20 }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.82/1.20 = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.82/1.20 ( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.82/1.20 }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.82/1.20 , Y ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.82/1.20 segmentP( X, Y ) }.
% 0.82/1.20 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.82/1.20 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.82/1.20 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.82/1.20 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.82/1.20 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.82/1.20 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.82/1.20 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.82/1.20 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.82/1.20 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, alpha12( Y, Z ) }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.82/1.20 { leq( X, Y ), alpha12( X, Y ) }.
% 0.82/1.20 { leq( Y, X ), alpha12( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.82/1.20 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.82/1.20 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.82/1.20 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.82/1.20 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.82/1.20 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, alpha13( Y, Z ) }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.82/1.20 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.82/1.20 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.82/1.20 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.82/1.20 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.82/1.20 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.82/1.20 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, alpha14( Y, Z ) }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.82/1.20 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.82/1.20 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.82/1.20 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.82/1.20 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.82/1.20 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.82/1.20 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.82/1.20 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, leq( Y, Z ) }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.82/1.20 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.82/1.20 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.82/1.20 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.82/1.20 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.82/1.20 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, lt( Y, Z ) }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.82/1.20 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.82/1.20 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.82/1.20 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.82/1.20 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.82/1.20 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.82/1.20 .
% 0.82/1.20 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.82/1.20 , U ) }.
% 0.82/1.20 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.82/1.20 ) ) = X, ! Y = Z }.
% 0.82/1.20 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.82/1.20 W ) }.
% 0.82/1.20 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.82/1.20 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.82/1.20 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.82/1.20 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.82/1.20 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.82/1.20 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.82/1.20 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.82/1.20 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.82/1.20 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.82/1.20 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.82/1.20 Z }.
% 0.82/1.20 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.82/1.20 { ssList( nil ) }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.82/1.20 ) = cons( T, Y ), Z = T }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.82/1.20 ) = cons( T, Y ), Y = X }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.82/1.20 ( cons( Z, Y ), X ) }.
% 0.82/1.20 { ! ssList( X ), app( nil, X ) = X }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.82/1.20 , leq( X, Z ) }.
% 0.82/1.20 { ! ssItem( X ), leq( X, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.82/1.20 lt( X, Z ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.82/1.20 , memberP( Y, X ), memberP( Z, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.82/1.20 app( Y, Z ), X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.82/1.20 app( Y, Z ), X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.82/1.20 , X = Y, memberP( Z, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.82/1.20 ), X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.82/1.20 cons( Y, Z ), X ) }.
% 0.82/1.20 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.82/1.20 { ! singletonP( nil ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.82/1.20 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.82/1.20 = Y }.
% 0.82/1.20 { ! ssList( X ), frontsegP( X, X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.82/1.20 frontsegP( app( X, Z ), Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.82/1.20 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.82/1.20 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.82/1.20 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.82/1.20 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.82/1.20 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.82/1.20 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.82/1.20 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.82/1.20 Y }.
% 0.82/1.20 { ! ssList( X ), rearsegP( X, X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.82/1.20 ( app( Z, X ), Y ) }.
% 0.82/1.20 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.82/1.20 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.82/1.20 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.82/1.20 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.82/1.20 Y }.
% 0.82/1.20 { ! ssList( X ), segmentP( X, X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.82/1.20 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.82/1.20 { ! ssList( X ), segmentP( X, nil ) }.
% 0.82/1.20 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.82/1.20 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.82/1.20 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.82/1.20 { cyclefreeP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.82/1.20 { totalorderP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.82/1.20 { strictorderP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.82/1.20 { totalorderedP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.82/1.20 alpha10( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.82/1.20 .
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.82/1.20 Y ) ) }.
% 0.82/1.20 { ! alpha10( X, Y ), ! nil = Y }.
% 0.82/1.20 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.82/1.20 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.82/1.20 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.82/1.20 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.82/1.20 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.82/1.20 { strictorderedP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.82/1.20 alpha11( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.82/1.20 .
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.82/1.20 , Y ) ) }.
% 0.82/1.20 { ! alpha11( X, Y ), ! nil = Y }.
% 0.82/1.20 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.82/1.20 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.82/1.20 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.82/1.20 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.82/1.20 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.82/1.20 { duplicatefreeP( nil ) }.
% 0.82/1.20 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.82/1.20 { equalelemsP( nil ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.82/1.20 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.82/1.20 ( Y ) = tl( X ), Y = X }.
% 0.82/1.20 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.82/1.20 , Z = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.82/1.20 , Z = X }.
% 0.82/1.20 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.82/1.20 ( X, app( Y, Z ) ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.82/1.20 { ! ssList( X ), app( X, nil ) = X }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.82/1.20 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.82/1.20 Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.82/1.20 , geq( X, Z ) }.
% 0.82/1.20 { ! ssItem( X ), geq( X, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! lt( X, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.82/1.20 , lt( X, Z ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.82/1.20 gt( X, Z ) }.
% 0.82/1.20 { ssList( skol46 ) }.
% 0.82/1.20 { ssList( skol49 ) }.
% 0.82/1.20 { ssList( skol50 ) }.
% 0.82/1.20 { ssList( skol51 ) }.
% 0.82/1.20 { nil = skol49 }.
% 0.82/1.20 { skol49 = skol51 }.
% 0.82/1.20 { skol46 = skol50 }.
% 0.82/1.20 { ! nil = skol46 }.
% 0.82/1.20 { ssList( skol52 ) }.
% 0.82/1.20 { app( skol50, skol52 ) = skol51 }.
% 0.82/1.20 { equalelemsP( skol50 ) }.
% 0.82/1.20 { ! ssItem( X ), ! ssList( Y ), ! app( cons( X, nil ), Y ) = skol52, !
% 0.82/1.20 ssList( Z ), ! app( Z, cons( X, nil ) ) = skol50 }.
% 0.82/1.20 { nil = skol51, ! nil = skol50 }.
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for clauses
% 0.82/1.20 percentage equality = 0.134593, percentage horn = 0.763889
% 0.82/1.20 This is a problem with some equality
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Options Used:
% 0.82/1.20
% 0.82/1.20 useres = 1
% 0.82/1.20 useparamod = 1
% 0.82/1.20 useeqrefl = 1
% 0.82/1.20 useeqfact = 1
% 0.82/1.20 usefactor = 1
% 0.82/1.20 usesimpsplitting = 0
% 0.82/1.20 usesimpdemod = 5
% 0.82/1.20 usesimpres = 3
% 0.82/1.20
% 0.82/1.20 resimpinuse = 1000
% 0.82/1.20 resimpclauses = 20000
% 0.82/1.20 substype = eqrewr
% 0.82/1.20 backwardsubs = 1
% 0.82/1.20 selectoldest = 5
% 0.82/1.20
% 0.82/1.20 litorderings [0] = split
% 0.82/1.20 litorderings [1] = extend the termordering, first sorting on arguments
% 0.82/1.20
% 0.82/1.20 termordering = kbo
% 0.82/1.20
% 0.82/1.20 litapriori = 0
% 0.82/1.20 termapriori = 1
% 0.82/1.20 litaposteriori = 0
% 0.82/1.20 termaposteriori = 0
% 0.82/1.20 demodaposteriori = 0
% 0.82/1.20 ordereqreflfact = 0
% 0.82/1.20
% 0.82/1.20 litselect = negord
% 0.82/1.20
% 0.82/1.20 maxweight = 15
% 0.82/1.20 maxdepth = 30000
% 0.82/1.20 maxlength = 115
% 0.82/1.20 maxnrvars = 195
% 0.82/1.20 excuselevel = 1
% 0.82/1.20 increasemaxweight = 1
% 0.82/1.20
% 0.82/1.20 maxselected = 10000000
% 0.82/1.20 maxnrclauses = 10000000
% 0.82/1.20
% 0.82/1.20 showgenerated = 0
% 0.82/1.20 showkept = 0
% 0.82/1.20 showselected = 0
% 0.82/1.20 showdeleted = 0
% 0.82/1.20 showresimp = 1
% 0.82/1.20 showstatus = 2000
% 0.82/1.20
% 0.82/1.20 prologoutput = 0
% 0.82/1.20 nrgoals = 5000000
% 0.82/1.20 totalproof = 1
% 0.82/1.20
% 0.82/1.20 Symbols occurring in the translation:
% 0.82/1.20
% 0.82/1.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.82/1.20 . [1, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.82/1.20 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 0.82/1.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.82/1.20 ssItem [36, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.82/1.20 neq [38, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.82/1.20 ssList [39, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.82/1.20 memberP [40, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.82/1.20 cons [43, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.82/1.20 app [44, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.82/1.20 singletonP [45, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.82/1.20 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.82/1.20 frontsegP [47, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.42/1.77 rearsegP [48, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.42/1.77 segmentP [49, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.42/1.77 cyclefreeP [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.42/1.77 leq [53, 2] (w:1, o:75, a:1, s:1, b:0),
% 1.42/1.77 totalorderP [54, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.42/1.77 strictorderP [55, 1] (w:1, o:31, a:1, s:1, b:0),
% 1.42/1.77 lt [56, 2] (w:1, o:76, a:1, s:1, b:0),
% 1.42/1.77 totalorderedP [57, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.42/1.77 strictorderedP [58, 1] (w:1, o:32, a:1, s:1, b:0),
% 1.42/1.77 duplicatefreeP [59, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.42/1.77 equalelemsP [60, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.42/1.77 hd [61, 1] (w:1, o:49, a:1, s:1, b:0),
% 1.42/1.77 tl [62, 1] (w:1, o:50, a:1, s:1, b:0),
% 1.42/1.77 geq [63, 2] (w:1, o:84, a:1, s:1, b:0),
% 1.42/1.77 gt [64, 2] (w:1, o:85, a:1, s:1, b:0),
% 1.42/1.77 alpha1 [67, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.42/1.77 alpha2 [68, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.42/1.77 alpha3 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.42/1.77 alpha4 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.42/1.77 alpha5 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.42/1.77 alpha6 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.42/1.77 alpha7 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.42/1.77 alpha8 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.42/1.77 alpha9 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.42/1.77 alpha10 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.42/1.77 alpha11 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.42/1.77 alpha12 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.42/1.77 alpha13 [79, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.42/1.77 alpha14 [80, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.42/1.77 alpha15 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.42/1.77 alpha16 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.42/1.77 alpha17 [83, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.42/1.77 alpha18 [84, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.42/1.77 alpha19 [85, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.42/1.77 alpha20 [86, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.42/1.77 alpha21 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.42/1.77 alpha22 [88, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.42/1.77 alpha23 [89, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.42/1.77 alpha24 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.42/1.77 alpha25 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.42/1.77 alpha26 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.42/1.77 alpha27 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.42/1.77 alpha28 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.42/1.77 alpha29 [95, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.42/1.77 alpha30 [96, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.42/1.77 alpha31 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.42/1.77 alpha32 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.42/1.77 alpha33 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.42/1.77 alpha34 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.42/1.77 alpha35 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.42/1.77 alpha36 [102, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.42/1.77 alpha37 [103, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.42/1.77 alpha38 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.42/1.77 alpha39 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.42/1.77 alpha40 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.42/1.77 alpha41 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.42/1.77 alpha42 [108, 6] (w:1, o:160, a:1, s:1, b:1),
% 1.42/1.77 alpha43 [109, 6] (w:1, o:161, a:1, s:1, b:1),
% 1.42/1.77 skol1 [110, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.42/1.77 skol2 [111, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.42/1.77 skol3 [112, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.42/1.77 skol4 [113, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.42/1.77 skol5 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.42/1.77 skol6 [115, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.42/1.77 skol7 [116, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.42/1.77 skol8 [117, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.42/1.77 skol9 [118, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.42/1.77 skol10 [119, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.42/1.77 skol11 [120, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.42/1.77 skol12 [121, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.42/1.77 skol13 [122, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.42/1.77 skol14 [123, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.42/1.77 skol15 [124, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.42/1.77 skol16 [125, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.42/1.77 skol17 [126, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.42/1.77 skol18 [127, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.42/1.77 skol19 [128, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.42/1.77 skol20 [129, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.42/1.77 skol21 [130, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.42/1.77 skol22 [131, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.42/1.77 skol23 [132, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.42/1.77 skol24 [133, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.42/1.77 skol25 [134, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.42/1.77 skol26 [135, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.42/1.77 skol27 [136, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.42/1.77 skol28 [137, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.42/1.77 skol29 [138, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.42/1.77 skol30 [139, 2] (w:1, o:109, a:1, s:1, b:1),
% 1.42/1.77 skol31 [140, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.42/1.77 skol32 [141, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.42/1.77 skol33 [142, 5] (w:1, o:154, a:1, s:1, b:1),
% 1.42/1.77 skol34 [143, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.42/1.77 skol35 [144, 2] (w:1, o:110, a:1, s:1, b:1),
% 1.42/1.77 skol36 [145, 3] (w:1, o:127, a:1, s:1, b:1),
% 1.42/1.77 skol37 [146, 4] (w:1, o:141, a:1, s:1, b:1),
% 1.42/1.77 skol38 [147, 5] (w:1, o:155, a:1, s:1, b:1),
% 1.42/1.77 skol39 [148, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.42/1.77 skol40 [149, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.42/1.77 skol41 [150, 3] (w:1, o:128, a:1, s:1, b:1),
% 1.42/1.77 skol42 [151, 4] (w:1, o:142, a:1, s:1, b:1),
% 1.42/1.77 skol43 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.42/1.77 skol44 [153, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.42/1.77 skol45 [154, 1] (w:1, o:43, a:1, s:1, b:1),
% 1.42/1.77 skol46 [155, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.42/1.77 skol47 [156, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.42/1.77 skol48 [157, 1] (w:1, o:44, a:1, s:1, b:1),
% 1.42/1.77 skol49 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.42/1.77 skol50 [159, 0] (w:1, o:19, a:1, s:1, b:1),
% 1.42/1.77 skol51 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 1.42/1.77 skol52 [161, 0] (w:1, o:21, a:1, s:1, b:1).
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Starting Search:
% 1.42/1.77
% 1.42/1.77 *** allocated 22500 integers for clauses
% 1.42/1.77 *** allocated 33750 integers for clauses
% 1.42/1.77 *** allocated 50625 integers for clauses
% 1.42/1.77 *** allocated 22500 integers for termspace/termends
% 1.42/1.77 *** allocated 75937 integers for clauses
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 33750 integers for termspace/termends
% 1.42/1.77 *** allocated 113905 integers for clauses
% 1.42/1.77 *** allocated 50625 integers for termspace/termends
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 3713
% 1.42/1.77 Kept: 2008
% 1.42/1.77 Inuse: 217
% 1.42/1.77 Deleted: 9
% 1.42/1.77 Deletedinuse: 1
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 170857 integers for clauses
% 1.42/1.77 *** allocated 75937 integers for termspace/termends
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 256285 integers for clauses
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 6845
% 1.42/1.77 Kept: 4041
% 1.42/1.77 Inuse: 378
% 1.42/1.77 Deleted: 12
% 1.42/1.77 Deletedinuse: 4
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 113905 integers for termspace/termends
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 384427 integers for clauses
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 10262
% 1.42/1.77 Kept: 6045
% 1.42/1.77 Inuse: 502
% 1.42/1.77 Deleted: 22
% 1.42/1.77 Deletedinuse: 14
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 170857 integers for termspace/termends
% 1.42/1.77 *** allocated 576640 integers for clauses
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 13336
% 1.42/1.77 Kept: 8055
% 1.42/1.77 Inuse: 598
% 1.42/1.77 Deleted: 27
% 1.42/1.77 Deletedinuse: 19
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 17030
% 1.42/1.77 Kept: 10433
% 1.42/1.77 Inuse: 673
% 1.42/1.77 Deleted: 34
% 1.42/1.77 Deletedinuse: 26
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 256285 integers for termspace/termends
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 864960 integers for clauses
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 21306
% 1.42/1.77 Kept: 12437
% 1.42/1.77 Inuse: 748
% 1.42/1.77 Deleted: 34
% 1.42/1.77 Deletedinuse: 26
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 28992
% 1.42/1.77 Kept: 14448
% 1.42/1.77 Inuse: 778
% 1.42/1.77 Deleted: 41
% 1.42/1.77 Deletedinuse: 33
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 384427 integers for termspace/termends
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 33970
% 1.42/1.77 Kept: 16534
% 1.42/1.77 Inuse: 826
% 1.42/1.77 Deleted: 67
% 1.42/1.77 Deletedinuse: 57
% 1.42/1.77
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77 *** allocated 1297440 integers for clauses
% 1.42/1.77 Resimplifying inuse:
% 1.42/1.77 Done
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Intermediate Status:
% 1.42/1.77 Generated: 42390
% 1.42/1.77 Kept: 18619
% 1.42/1.77 Inuse: 899
% 1.42/1.77 Deleted: 74
% 1.42/1.77 Deletedinuse: 62
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Bliksems!, er is een bewijs:
% 1.42/1.77 % SZS status Theorem
% 1.42/1.77 % SZS output start Refutation
% 1.42/1.77
% 1.42/1.77 (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z ),
% 1.42/1.77 ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.42/1.77 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.42/1.77 (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 1.42/1.77 , Y ), ! frontsegP( Y, X ), X = Y }.
% 1.42/1.77 (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil ) }.
% 1.42/1.77 (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X, frontsegP( nil, X )
% 1.42/1.77 }.
% 1.42/1.77 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.42/1.77 (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.42/1.77 (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.42/1.77 (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.42/1.77 (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 1.42/1.77 (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.42/1.77 (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46, skol52 ) ==> nil
% 1.42/1.77 }.
% 1.42/1.77 (337) {G1,W3,D2,L1,V0,M1} Q(202);r(161) { frontsegP( nil, nil ) }.
% 1.42/1.77 (559) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil ) }.
% 1.42/1.77 (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), ! ssList(
% 1.42/1.77 skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.42/1.77 (676) {G4,W5,D2,L2,V0,M2} Q(670);r(161) { ! ssList( skol52 ), frontsegP(
% 1.42/1.77 nil, skol46 ) }.
% 1.42/1.77 (677) {G5,W3,D2,L1,V0,M1} S(676);r(283) { frontsegP( nil, skol46 ) }.
% 1.42/1.77 (18770) {G2,W8,D2,L3,V0,M3} R(194,559);r(275) { ! ssList( nil ), !
% 1.42/1.77 frontsegP( nil, skol46 ), skol46 ==> nil }.
% 1.42/1.77 (18962) {G6,W11,D2,L4,V1,M4} P(194,677);r(161) { frontsegP( X, skol46 ), !
% 1.42/1.77 ssList( X ), ! frontsegP( nil, X ), ! frontsegP( X, nil ) }.
% 1.42/1.77 (18995) {G1,W11,D2,L4,V1,M4} P(194,282);r(275) { ! X = nil, ! ssList( X ),
% 1.42/1.77 ! frontsegP( skol46, X ), ! frontsegP( X, skol46 ) }.
% 1.42/1.77 (19013) {G3,W6,D2,L2,V0,M2} Q(18995);d(18770);r(161) { ! frontsegP( nil,
% 1.42/1.77 skol46 ), ! frontsegP( nil, nil ) }.
% 1.42/1.77 (19014) {G7,W5,D2,L2,V0,M2} F(18962);r(19013) { ! ssList( nil ), !
% 1.42/1.77 frontsegP( nil, nil ) }.
% 1.42/1.77 (19024) {G8,W0,D0,L0,V0,M0} S(19014);r(161);r(337) { }.
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 % SZS output end Refutation
% 1.42/1.77 found a proof!
% 1.42/1.77
% 1.42/1.77
% 1.42/1.77 Unprocessed initial clauses:
% 1.42/1.77
% 1.42/1.77 (19026) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.42/1.77 , ! X = Y }.
% 1.42/1.77 (19027) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.42/1.77 , Y ) }.
% 1.42/1.77 (19028) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.42/1.77 (19029) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.42/1.77 (19030) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.42/1.77 (19031) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.42/1.77 , Y ), ssList( skol2( Z, T ) ) }.
% 1.42/1.77 (19032) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.42/1.77 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.42/1.77 (19033) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.77 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.42/1.77 (19034) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.42/1.77 ) ) }.
% 1.42/1.77 (19035) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.42/1.77 ( X, Y, Z ) ) ) = X }.
% 1.42/1.77 (19036) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.42/1.77 , alpha1( X, Y, Z ) }.
% 1.42/1.77 (19037) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.42/1.77 skol4( Y ) ) }.
% 1.42/1.77 (19038) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.42/1.77 skol4( X ), nil ) = X }.
% 1.42/1.77 (19039) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.42/1.77 nil ) = X, singletonP( X ) }.
% 1.42/1.77 (19040) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.42/1.77 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.42/1.77 (19041) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.42/1.77 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.42/1.77 (19042) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.77 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.42/1.77 (19043) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.42/1.77 , Y ), ssList( skol6( Z, T ) ) }.
% 1.42/1.77 (19044) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.42/1.77 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.42/1.77 (19045) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.77 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.42/1.77 (19046) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.42/1.77 , Y ), ssList( skol7( Z, T ) ) }.
% 1.42/1.77 (19047) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.42/1.77 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.42/1.77 (19048) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.77 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.42/1.77 (19049) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.42/1.77 ) ) }.
% 1.42/1.77 (19050) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.42/1.77 skol8( X, Y, Z ) ) = X }.
% 1.42/1.77 (19051) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.42/1.77 , alpha2( X, Y, Z ) }.
% 1.42/1.77 (19052) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.42/1.77 Y ), alpha3( X, Y ) }.
% 1.42/1.77 (19053) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.42/1.77 cyclefreeP( X ) }.
% 1.42/1.77 (19054) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.42/1.77 cyclefreeP( X ) }.
% 1.42/1.77 (19055) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.42/1.77 , Y, Z ) }.
% 1.42/1.77 (19056) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.42/1.77 (19057) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.42/1.77 , Y ) }.
% 1.42/1.77 (19058) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.42/1.77 alpha28( X, Y, Z, T ) }.
% 1.42/1.77 (19059) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.42/1.77 Z ) }.
% 1.42/1.77 (19060) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.42/1.77 alpha21( X, Y, Z ) }.
% 1.42/1.77 (19061) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.77 alpha35( X, Y, Z, T, U ) }.
% 1.42/1.77 (19062) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.42/1.77 X, Y, Z, T ) }.
% 1.42/1.77 (19063) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.42/1.77 ), alpha28( X, Y, Z, T ) }.
% 1.42/1.77 (19064) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.77 alpha41( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19065) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.42/1.77 alpha35( X, Y, Z, T, U ) }.
% 1.42/1.77 (19066) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.42/1.77 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.42/1.77 (19067) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.77 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.42/1.77 (19068) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.77 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19069) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.42/1.77 W ) }.
% 1.42/1.77 (19070) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.42/1.77 X ) }.
% 1.42/1.77 (19071) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.42/1.77 (19072) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.42/1.77 (19073) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.42/1.77 ( Y ), alpha4( X, Y ) }.
% 1.42/1.77 (19074) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.42/1.77 totalorderP( X ) }.
% 1.42/1.77 (19075) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.42/1.77 totalorderP( X ) }.
% 1.42/1.77 (19076) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.42/1.77 , Y, Z ) }.
% 1.42/1.77 (19077) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.42/1.77 (19078) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.42/1.77 , Y ) }.
% 1.42/1.77 (19079) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.42/1.77 alpha29( X, Y, Z, T ) }.
% 1.42/1.77 (19080) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.42/1.77 Z ) }.
% 1.42/1.77 (19081) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.42/1.77 alpha22( X, Y, Z ) }.
% 1.42/1.77 (19082) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.77 alpha36( X, Y, Z, T, U ) }.
% 1.42/1.77 (19083) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.42/1.77 X, Y, Z, T ) }.
% 1.42/1.77 (19084) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.42/1.77 ), alpha29( X, Y, Z, T ) }.
% 1.42/1.77 (19085) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.77 alpha42( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19086) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.42/1.77 alpha36( X, Y, Z, T, U ) }.
% 1.42/1.77 (19087) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.42/1.77 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.42/1.77 (19088) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.77 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.42/1.77 (19089) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.77 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19090) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.42/1.77 W ) }.
% 1.42/1.77 (19091) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.42/1.77 }.
% 1.42/1.77 (19092) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.42/1.77 (19093) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.42/1.77 (19094) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.42/1.77 ( Y ), alpha5( X, Y ) }.
% 1.42/1.77 (19095) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.42/1.77 strictorderP( X ) }.
% 1.42/1.77 (19096) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.42/1.77 strictorderP( X ) }.
% 1.42/1.77 (19097) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.42/1.77 , Y, Z ) }.
% 1.42/1.77 (19098) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.42/1.77 (19099) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.42/1.77 , Y ) }.
% 1.42/1.77 (19100) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.42/1.77 alpha30( X, Y, Z, T ) }.
% 1.42/1.77 (19101) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.42/1.77 Z ) }.
% 1.42/1.77 (19102) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.42/1.77 alpha23( X, Y, Z ) }.
% 1.42/1.77 (19103) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.77 alpha37( X, Y, Z, T, U ) }.
% 1.42/1.77 (19104) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.42/1.77 X, Y, Z, T ) }.
% 1.42/1.77 (19105) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.42/1.77 ), alpha30( X, Y, Z, T ) }.
% 1.42/1.77 (19106) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.77 alpha43( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19107) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.42/1.77 alpha37( X, Y, Z, T, U ) }.
% 1.42/1.77 (19108) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.42/1.77 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.42/1.77 (19109) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.77 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.42/1.77 (19110) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.77 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.42/1.77 (19111) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.42/1.77 W ) }.
% 1.42/1.77 (19112) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.42/1.77 }.
% 1.42/1.77 (19113) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.42/1.77 (19114) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.42/1.77 (19115) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.42/1.77 ssItem( Y ), alpha6( X, Y ) }.
% 1.42/1.77 (19116) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.42/1.77 totalorderedP( X ) }.
% 1.42/1.77 (19117) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.42/1.77 totalorderedP( X ) }.
% 1.42/1.77 (19118) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.42/1.77 , Y, Z ) }.
% 1.42/1.77 (19119) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.42/1.77 (19120) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.42/1.77 , Y ) }.
% 1.42/1.77 (19121) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.42/1.77 alpha24( X, Y, Z, T ) }.
% 1.42/1.77 (19122) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.42/1.77 Z ) }.
% 1.42/1.77 (19123) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.42/1.78 alpha15( X, Y, Z ) }.
% 1.42/1.78 (19124) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.78 alpha31( X, Y, Z, T, U ) }.
% 1.42/1.78 (19125) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.42/1.78 X, Y, Z, T ) }.
% 1.42/1.78 (19126) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.42/1.78 ), alpha24( X, Y, Z, T ) }.
% 1.42/1.78 (19127) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.78 alpha38( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19128) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.42/1.78 alpha31( X, Y, Z, T, U ) }.
% 1.42/1.78 (19129) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.42/1.78 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.42/1.78 (19130) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.78 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.42/1.78 (19131) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.78 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19132) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.42/1.78 }.
% 1.42/1.78 (19133) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.42/1.78 ssItem( Y ), alpha7( X, Y ) }.
% 1.42/1.78 (19134) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.42/1.78 strictorderedP( X ) }.
% 1.42/1.78 (19135) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.42/1.78 strictorderedP( X ) }.
% 1.42/1.78 (19136) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.42/1.78 , Y, Z ) }.
% 1.42/1.78 (19137) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.42/1.78 (19138) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.42/1.78 , Y ) }.
% 1.42/1.78 (19139) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.42/1.78 alpha25( X, Y, Z, T ) }.
% 1.42/1.78 (19140) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.42/1.78 Z ) }.
% 1.42/1.78 (19141) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.42/1.78 alpha16( X, Y, Z ) }.
% 1.42/1.78 (19142) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.78 alpha32( X, Y, Z, T, U ) }.
% 1.42/1.78 (19143) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.42/1.78 X, Y, Z, T ) }.
% 1.42/1.78 (19144) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.42/1.78 ), alpha25( X, Y, Z, T ) }.
% 1.42/1.78 (19145) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.78 alpha39( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19146) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.42/1.78 alpha32( X, Y, Z, T, U ) }.
% 1.42/1.78 (19147) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.42/1.78 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.42/1.78 (19148) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.78 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.42/1.78 (19149) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.78 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19150) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.42/1.78 }.
% 1.42/1.78 (19151) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.42/1.78 ssItem( Y ), alpha8( X, Y ) }.
% 1.42/1.78 (19152) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.42/1.78 duplicatefreeP( X ) }.
% 1.42/1.78 (19153) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.42/1.78 duplicatefreeP( X ) }.
% 1.42/1.78 (19154) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.42/1.78 , Y, Z ) }.
% 1.42/1.78 (19155) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.42/1.78 (19156) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.42/1.78 , Y ) }.
% 1.42/1.78 (19157) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.42/1.78 alpha26( X, Y, Z, T ) }.
% 1.42/1.78 (19158) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.42/1.78 Z ) }.
% 1.42/1.78 (19159) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.42/1.78 alpha17( X, Y, Z ) }.
% 1.42/1.78 (19160) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.78 alpha33( X, Y, Z, T, U ) }.
% 1.42/1.78 (19161) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.42/1.78 X, Y, Z, T ) }.
% 1.42/1.78 (19162) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.42/1.78 ), alpha26( X, Y, Z, T ) }.
% 1.42/1.78 (19163) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.42/1.78 alpha40( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19164) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.42/1.78 alpha33( X, Y, Z, T, U ) }.
% 1.42/1.78 (19165) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.42/1.78 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.42/1.78 (19166) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.42/1.78 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.42/1.78 (19167) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.42/1.78 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19168) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.42/1.78 (19169) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.42/1.78 ( Y ), alpha9( X, Y ) }.
% 1.42/1.78 (19170) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.42/1.78 equalelemsP( X ) }.
% 1.42/1.78 (19171) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.42/1.78 equalelemsP( X ) }.
% 1.42/1.78 (19172) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.42/1.78 , Y, Z ) }.
% 1.42/1.78 (19173) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.42/1.78 (19174) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.42/1.78 , Y ) }.
% 1.42/1.78 (19175) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.42/1.78 alpha27( X, Y, Z, T ) }.
% 1.42/1.78 (19176) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.42/1.78 Z ) }.
% 1.42/1.78 (19177) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.42/1.78 alpha18( X, Y, Z ) }.
% 1.42/1.78 (19178) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.42/1.78 alpha34( X, Y, Z, T, U ) }.
% 1.42/1.78 (19179) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.42/1.78 X, Y, Z, T ) }.
% 1.42/1.78 (19180) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.42/1.78 ), alpha27( X, Y, Z, T ) }.
% 1.42/1.78 (19181) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.42/1.78 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.42/1.78 (19182) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.42/1.78 alpha34( X, Y, Z, T, U ) }.
% 1.42/1.78 (19183) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.42/1.78 (19184) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.42/1.78 , ! X = Y }.
% 1.42/1.78 (19185) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.42/1.78 , Y ) }.
% 1.42/1.78 (19186) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.42/1.78 Y, X ) ) }.
% 1.42/1.78 (19187) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.42/1.78 (19188) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.42/1.78 = X }.
% 1.42/1.78 (19189) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.42/1.78 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.42/1.78 (19190) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.42/1.78 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.42/1.78 (19191) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.42/1.78 ) }.
% 1.42/1.78 (19192) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.42/1.78 ) }.
% 1.42/1.78 (19193) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.42/1.78 skol43( X ) ) = X }.
% 1.42/1.78 (19194) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.42/1.78 Y, X ) }.
% 1.42/1.78 (19195) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.42/1.78 }.
% 1.42/1.78 (19196) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.42/1.78 X ) ) = Y }.
% 1.42/1.78 (19197) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.42/1.78 }.
% 1.42/1.78 (19198) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.42/1.78 X ) ) = X }.
% 1.42/1.78 (19199) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.42/1.78 , Y ) ) }.
% 1.42/1.78 (19200) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.42/1.78 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.42/1.78 (19201) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.42/1.78 (19202) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.42/1.78 , ! leq( Y, X ), X = Y }.
% 1.42/1.78 (19203) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.42/1.78 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.42/1.78 (19204) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.42/1.78 (19205) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.42/1.78 , leq( Y, X ) }.
% 1.42/1.78 (19206) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.42/1.78 , geq( X, Y ) }.
% 1.42/1.78 (19207) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.42/1.78 , ! lt( Y, X ) }.
% 1.42/1.78 (19208) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.42/1.78 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.42/1.78 (19209) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.42/1.78 , lt( Y, X ) }.
% 1.42/1.78 (19210) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.42/1.78 , gt( X, Y ) }.
% 1.42/1.78 (19211) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.42/1.78 (19212) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.42/1.78 (19213) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.42/1.78 (19214) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.42/1.78 (19215) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.42/1.78 (19216) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.42/1.78 (19217) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.42/1.78 (19218) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.42/1.78 (19219) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.42/1.78 (19220) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.42/1.78 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.42/1.78 (19221) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.42/1.78 (19222) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.42/1.78 (19223) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.42/1.78 (19224) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.42/1.78 , T ) }.
% 1.42/1.78 (19225) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.42/1.78 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.42/1.78 cons( Y, T ) ) }.
% 1.42/1.78 (19226) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.42/1.78 (19227) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.42/1.78 X }.
% 1.42/1.78 (19228) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.42/1.78 ) }.
% 1.42/1.78 (19229) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.42/1.78 (19230) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.42/1.78 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.42/1.78 (19231) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.42/1.78 (19232) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.42/1.78 (19233) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.42/1.78 (19234) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.42/1.78 }.
% 1.42/1.78 (19235) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.42/1.78 }.
% 1.42/1.78 (19236) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.42/1.78 (19237) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.42/1.78 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.42/1.78 (19238) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.42/1.78 (19239) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.42/1.78 }.
% 1.42/1.78 (19240) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.42/1.78 (19241) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.42/1.78 }.
% 1.42/1.78 (19242) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.42/1.78 }.
% 1.42/1.78 (19243) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.42/1.78 }.
% 1.42/1.78 (19244) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.42/1.78 (19245) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.42/1.78 }.
% 1.42/1.78 (19246) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.42/1.78 (19247) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.42/1.78 ) }.
% 1.42/1.78 (19248) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.42/1.78 (19249) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.42/1.78 ) }.
% 1.42/1.78 (19250) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.42/1.78 (19251) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.42/1.78 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.42/1.78 (19252) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.42/1.78 totalorderedP( cons( X, Y ) ) }.
% 1.42/1.78 (19253) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.42/1.78 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.42/1.78 (19254) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.42/1.78 (19255) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.42/1.78 (19256) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.42/1.78 }.
% 1.42/1.78 (19257) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.42/1.78 (19258) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.42/1.78 (19259) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.42/1.78 alpha19( X, Y ) }.
% 1.42/1.78 (19260) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.42/1.78 ) ) }.
% 1.42/1.78 (19261) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.42/1.78 (19262) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.42/1.78 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.42/1.78 (19263) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.42/1.78 strictorderedP( cons( X, Y ) ) }.
% 1.42/1.78 (19264) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.42/1.78 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.42/1.78 (19265) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.42/1.78 (19266) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.42/1.78 (19267) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.42/1.78 }.
% 1.42/1.78 (19268) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.42/1.78 (19269) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.42/1.78 (19270) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.42/1.78 alpha20( X, Y ) }.
% 1.42/1.78 (19271) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.42/1.78 ) ) }.
% 1.42/1.78 (19272) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.42/1.78 (19273) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.42/1.78 }.
% 1.42/1.78 (19274) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.42/1.78 (19275) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.42/1.78 ) }.
% 1.42/1.78 (19276) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.42/1.78 ) }.
% 1.42/1.78 (19277) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.42/1.78 ) }.
% 1.42/1.78 (19278) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.42/1.78 ) }.
% 1.42/1.78 (19279) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.42/1.78 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.42/1.78 (19280) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.42/1.78 X ) ) = X }.
% 1.42/1.78 (19281) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.42/1.78 (19282) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.42/1.78 (19283) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.42/1.78 = app( cons( Y, nil ), X ) }.
% 1.42/1.78 (19284) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.42/1.78 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.42/1.78 (19285) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.42/1.78 X, Y ), nil = Y }.
% 1.42/1.78 (19286) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.42/1.78 X, Y ), nil = X }.
% 1.42/1.78 (19287) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.42/1.78 nil = X, nil = app( X, Y ) }.
% 1.42/1.78 (19288) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.42/1.78 (19289) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.42/1.78 app( X, Y ) ) = hd( X ) }.
% 1.42/1.78 (19290) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.42/1.78 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.42/1.78 (19291) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.42/1.78 , ! geq( Y, X ), X = Y }.
% 1.42/1.78 (19292) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.42/1.78 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.42/1.78 (19293) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.42/1.78 (19294) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.42/1.78 (19295) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.42/1.78 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.42/1.78 (19296) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.42/1.78 , X = Y, lt( X, Y ) }.
% 1.42/1.78 (19297) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.42/1.78 , ! X = Y }.
% 1.42/1.78 (19298) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.42/1.78 , leq( X, Y ) }.
% 1.42/1.78 (19299) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.42/1.78 ( X, Y ), lt( X, Y ) }.
% 1.42/1.78 (19300) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.42/1.78 , ! gt( Y, X ) }.
% 1.42/1.78 (19301) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.42/1.78 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.42/1.78 (19302) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.42/1.78 (19303) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.42/1.78 (19304) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.42/1.79 (19305) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.42/1.79 (19306) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 1.42/1.79 (19307) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.42/1.79 (19308) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.42/1.79 (19309) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.42/1.79 (19310) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.42/1.79 (19311) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) = skol51 }.
% 1.42/1.79 (19312) {G0,W2,D2,L1,V0,M1} { equalelemsP( skol50 ) }.
% 1.42/1.79 (19313) {G0,W20,D4,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! app( cons(
% 1.42/1.79 X, nil ), Y ) = skol52, ! ssList( Z ), ! app( Z, cons( X, nil ) ) =
% 1.42/1.79 skol50 }.
% 1.42/1.79 (19314) {G0,W6,D2,L2,V0,M2} { nil = skol51, ! nil = skol50 }.
% 1.42/1.79
% 1.42/1.79
% 1.42/1.79 Total Proof:
% 1.42/1.79
% 1.42/1.79 subsumption: (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.42/1.79 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.42/1.79 parent0: (19042) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.42/1.79 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 Y := Y
% 1.42/1.79 Z := Z
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 1 ==> 1
% 1.42/1.79 2 ==> 2
% 1.42/1.79 3 ==> 3
% 1.42/1.79 4 ==> 4
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.42/1.79 parent0: (19187) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.42/1.79 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.42/1.79 parent0: (19220) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.42/1.79 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 Y := Y
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 1 ==> 1
% 1.42/1.79 2 ==> 2
% 1.42/1.79 3 ==> 3
% 1.42/1.79 4 ==> 4
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 1.42/1.79 ) }.
% 1.42/1.79 parent0: (19226) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil )
% 1.42/1.79 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 1 ==> 1
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 1.42/1.79 frontsegP( nil, X ) }.
% 1.42/1.79 parent0: (19228) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP
% 1.42/1.79 ( nil, X ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 1 ==> 1
% 1.42/1.79 2 ==> 2
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.42/1.79 parent0: (19302) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (20551) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 1.42/1.79 parent0[0]: (19306) {G0,W3,D2,L1,V0,M1} { nil = skol49 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.42/1.79 parent0: (20551) {G0,W3,D2,L1,V0,M1} { skol49 = nil }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 paramod: (21192) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 1.42/1.79 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol49 ==> nil }.
% 1.42/1.79 parent1[0; 1]: (19307) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (21193) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 1.42/1.79 parent0[0]: (21192) {G1,W3,D2,L1,V0,M1} { nil = skol51 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.42/1.79 parent0: (21193) {G1,W3,D2,L1,V0,M1} { skol51 = nil }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (21542) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.42/1.79 parent0[0]: (19308) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.42/1.79 parent0: (21542) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (21892) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.42/1.79 parent0[0]: (19309) {G0,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (282) {G0,W3,D2,L1,V0,M1} I { ! skol46 ==> nil }.
% 1.42/1.79 parent0: (21892) {G0,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssList( skol52 ) }.
% 1.42/1.79 parent0: (19310) {G0,W2,D2,L1,V0,M1} { ssList( skol52 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 paramod: (23176) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = skol51 }.
% 1.42/1.79 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.42/1.79 parent1[0; 2]: (19311) {G0,W5,D3,L1,V0,M1} { app( skol50, skol52 ) =
% 1.42/1.79 skol51 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 paramod: (23177) {G2,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = nil }.
% 1.42/1.79 parent0[0]: (280) {G1,W3,D2,L1,V0,M1} I;d(279) { skol51 ==> nil }.
% 1.42/1.79 parent1[0; 4]: (23176) {G1,W5,D3,L1,V0,M1} { app( skol46, skol52 ) =
% 1.42/1.79 skol51 }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46,
% 1.42/1.79 skol52 ) ==> nil }.
% 1.42/1.79 parent0: (23177) {G2,W5,D3,L1,V0,M1} { app( skol46, skol52 ) = nil }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (23179) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ), frontsegP
% 1.42/1.79 ( nil, X ) }.
% 1.42/1.79 parent0[1]: (202) {G0,W8,D2,L3,V1,M3} I { ! ssList( X ), ! nil = X,
% 1.42/1.79 frontsegP( nil, X ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqrefl: (23180) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), frontsegP( nil, nil
% 1.42/1.79 ) }.
% 1.42/1.79 parent0[0]: (23179) {G0,W8,D2,L3,V1,M3} { ! X = nil, ! ssList( X ),
% 1.42/1.79 frontsegP( nil, X ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := nil
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 resolution: (23181) {G1,W3,D2,L1,V0,M1} { frontsegP( nil, nil ) }.
% 1.42/1.79 parent0[0]: (23180) {G0,W5,D2,L2,V0,M2} { ! ssList( nil ), frontsegP( nil
% 1.42/1.79 , nil ) }.
% 1.42/1.79 parent1[0]: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (337) {G1,W3,D2,L1,V0,M1} Q(202);r(161) { frontsegP( nil, nil
% 1.42/1.79 ) }.
% 1.42/1.79 parent0: (23181) {G1,W3,D2,L1,V0,M1} { frontsegP( nil, nil ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 resolution: (23182) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 1.42/1.79 parent0[0]: (200) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, nil
% 1.42/1.79 ) }.
% 1.42/1.79 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := skol46
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (559) {G1,W3,D2,L1,V0,M1} R(200,275) { frontsegP( skol46, nil
% 1.42/1.79 ) }.
% 1.42/1.79 parent0: (23182) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, nil ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 0
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (23184) {G0,W14,D3,L5,V3,M5} { ! Z = app( X, Y ), ! ssList( Z ), !
% 1.42/1.79 ssList( X ), ! ssList( Y ), frontsegP( Z, X ) }.
% 1.42/1.79 parent0[3]: (16) {G0,W14,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.42/1.79 ssList( Z ), ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := Z
% 1.42/1.79 Y := X
% 1.42/1.79 Z := Y
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 paramod: (23185) {G1,W12,D2,L5,V1,M5} { ! X = nil, ! ssList( X ), ! ssList
% 1.42/1.79 ( skol46 ), ! ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 parent0[0]: (284) {G2,W5,D3,L1,V0,M1} I;d(281);d(280) { app( skol46, skol52
% 1.42/1.79 ) ==> nil }.
% 1.42/1.79 parent1[0; 3]: (23184) {G0,W14,D3,L5,V3,M5} { ! Z = app( X, Y ), ! ssList
% 1.42/1.79 ( Z ), ! ssList( X ), ! ssList( Y ), frontsegP( Z, X ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 X := skol46
% 1.42/1.79 Y := skol52
% 1.42/1.79 Z := X
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 resolution: (23192) {G1,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), !
% 1.42/1.79 ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 parent0[2]: (23185) {G1,W12,D2,L5,V1,M5} { ! X = nil, ! ssList( X ), !
% 1.42/1.79 ssList( skol46 ), ! ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79 substitution1:
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (23193) {G1,W10,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), ! ssList
% 1.42/1.79 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 parent0[0]: (23192) {G1,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), !
% 1.42/1.79 ssList( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 subsumption: (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), !
% 1.42/1.79 ssList( skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.42/1.79 parent0: (23193) {G1,W10,D2,L4,V1,M4} { ! nil = X, ! ssList( X ), ! ssList
% 1.42/1.79 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79 permutation0:
% 1.42/1.79 0 ==> 2
% 1.42/1.79 1 ==> 0
% 1.42/1.79 2 ==> 1
% 1.42/1.79 3 ==> 3
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqswap: (23196) {G3,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), ! ssList
% 1.42/1.79 ( skol52 ), frontsegP( X, skol46 ) }.
% 1.42/1.79 parent0[2]: (670) {G3,W10,D2,L4,V1,M4} P(284,16);r(275) { ! ssList( X ), !
% 1.42/1.79 ssList( skol52 ), ! nil = X, frontsegP( X, skol46 ) }.
% 1.42/1.79 substitution0:
% 1.42/1.79 X := X
% 1.42/1.79 end
% 1.42/1.79
% 1.42/1.79 eqrefl: (23197) {G0,W7,D2,L3,V0,M3} { ! ssList( nil ), ! ssList( skol52 )
% 1.42/1.79 , frontsegP( nil, skol46 ) }.
% 1.42/1.79 parent0[0]: (23196) {G3,W10,D2,L4,V1,M4} { ! X = nil, ! ssList( X ), !
% 1.42/1.79 ssList( skol52Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------