TSTP Solution File: SWC019+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC019+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:33:02 EDT 2022
% Result : Theorem 1.30s 1.68s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWC019+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 22:14:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.73/1.13 *** allocated 10000 integers for termspace/termends
% 0.73/1.13 *** allocated 10000 integers for clauses
% 0.73/1.13 *** allocated 10000 integers for justifications
% 0.73/1.13 Bliksem 1.12
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Automatic Strategy Selection
% 0.73/1.13
% 0.73/1.13 *** allocated 15000 integers for termspace/termends
% 0.73/1.13
% 0.73/1.13 Clauses:
% 0.73/1.13
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.13 { ssItem( skol1 ) }.
% 0.73/1.13 { ssItem( skol47 ) }.
% 0.73/1.13 { ! skol1 = skol47 }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.73/1.13 }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.73/1.13 Y ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.73/1.13 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.73/1.13 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.73/1.13 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.73/1.13 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.73/1.13 ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.73/1.13 ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.73/1.13 }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.73/1.13 = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.73/1.13 ( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.73/1.13 }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.73/1.13 , Y ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.73/1.13 segmentP( X, Y ) }.
% 0.73/1.13 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.73/1.13 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.73/1.13 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.73/1.13 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.73/1.13 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.73/1.13 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.73/1.13 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.73/1.13 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.73/1.13 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, alpha12( Y, Z ) }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.73/1.13 { leq( X, Y ), alpha12( X, Y ) }.
% 0.73/1.13 { leq( Y, X ), alpha12( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.73/1.13 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.73/1.13 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.73/1.13 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.73/1.13 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.73/1.13 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, alpha13( Y, Z ) }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.73/1.13 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.73/1.13 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.73/1.13 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.73/1.13 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.73/1.13 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.73/1.13 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, alpha14( Y, Z ) }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.73/1.13 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.73/1.13 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.73/1.13 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.73/1.13 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.73/1.13 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.73/1.13 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.73/1.13 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, leq( Y, Z ) }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.73/1.13 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.73/1.13 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.73/1.13 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.73/1.13 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.73/1.13 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, lt( Y, Z ) }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.73/1.13 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.73/1.13 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.73/1.13 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.73/1.13 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.73/1.13 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.73/1.13 .
% 0.73/1.13 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.73/1.13 , U ) }.
% 0.73/1.13 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.73/1.13 ) ) = X, ! Y = Z }.
% 0.73/1.13 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.73/1.13 W ) }.
% 0.73/1.13 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.73/1.13 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.73/1.13 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.73/1.13 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.73/1.13 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.73/1.13 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.73/1.13 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.73/1.13 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.73/1.13 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.73/1.13 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.73/1.13 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.73/1.13 Z }.
% 0.73/1.13 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.73/1.13 { ssList( nil ) }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.13 ) = cons( T, Y ), Z = T }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.73/1.13 ) = cons( T, Y ), Y = X }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.73/1.13 ( cons( Z, Y ), X ) }.
% 0.73/1.13 { ! ssList( X ), app( nil, X ) = X }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.73/1.13 , leq( X, Z ) }.
% 0.73/1.13 { ! ssItem( X ), leq( X, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.73/1.13 lt( X, Z ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.73/1.13 , memberP( Y, X ), memberP( Z, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.73/1.13 app( Y, Z ), X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.13 app( Y, Z ), X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.73/1.13 , X = Y, memberP( Z, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.73/1.13 ), X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.73/1.13 cons( Y, Z ), X ) }.
% 0.73/1.13 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.73/1.13 { ! singletonP( nil ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.73/1.13 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.73/1.13 = Y }.
% 0.73/1.13 { ! ssList( X ), frontsegP( X, X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.73/1.13 frontsegP( app( X, Z ), Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.13 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.73/1.13 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.73/1.13 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.73/1.13 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.73/1.13 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.73/1.13 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.73/1.13 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.73/1.13 Y }.
% 0.73/1.13 { ! ssList( X ), rearsegP( X, X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.73/1.13 ( app( Z, X ), Y ) }.
% 0.73/1.13 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.73/1.13 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.73/1.13 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.73/1.13 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.73/1.13 Y }.
% 0.73/1.13 { ! ssList( X ), segmentP( X, X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.73/1.13 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.73/1.13 { ! ssList( X ), segmentP( X, nil ) }.
% 0.73/1.13 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.73/1.13 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.73/1.13 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.73/1.13 { cyclefreeP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.73/1.13 { totalorderP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.73/1.13 { strictorderP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.73/1.13 { totalorderedP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.13 alpha10( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.73/1.13 .
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.73/1.13 Y ) ) }.
% 0.73/1.13 { ! alpha10( X, Y ), ! nil = Y }.
% 0.73/1.13 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.73/1.13 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.73/1.13 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.73/1.13 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.73/1.13 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.73/1.13 { strictorderedP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.73/1.13 alpha11( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.73/1.13 .
% 0.73/1.13 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.73/1.13 , Y ) ) }.
% 0.73/1.13 { ! alpha11( X, Y ), ! nil = Y }.
% 0.73/1.13 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.73/1.13 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.73/1.13 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.73/1.13 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.73/1.13 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.73/1.13 { duplicatefreeP( nil ) }.
% 0.73/1.13 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.73/1.13 { equalelemsP( nil ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.73/1.13 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.73/1.13 ( Y ) = tl( X ), Y = X }.
% 0.73/1.13 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.73/1.13 , Z = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.73/1.13 , Z = X }.
% 0.73/1.13 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.73/1.13 ( X, app( Y, Z ) ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.73/1.13 { ! ssList( X ), app( X, nil ) = X }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.73/1.13 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.73/1.13 Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.73/1.13 , geq( X, Z ) }.
% 0.73/1.13 { ! ssItem( X ), geq( X, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! lt( X, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.73/1.13 , lt( X, Z ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.73/1.13 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.73/1.13 gt( X, Z ) }.
% 0.73/1.13 { ssList( skol46 ) }.
% 0.73/1.13 { ssList( skol49 ) }.
% 0.73/1.13 { ssList( skol50 ) }.
% 0.73/1.13 { ssList( skol51 ) }.
% 0.73/1.13 { skol49 = skol51 }.
% 0.73/1.13 { skol46 = skol50 }.
% 0.73/1.13 { skol51 = skol50 }.
% 0.73/1.13 { ! ssList( X ), ! neq( X, nil ), ! frontsegP( skol49, X ), ! frontsegP(
% 0.73/1.13 skol46, X ) }.
% 0.73/1.13 { ! nil = skol49, ! nil = skol46 }.
% 0.73/1.13
% 0.73/1.13 *** allocated 15000 integers for clauses
% 0.73/1.13 percentage equality = 0.130641, percentage horn = 0.760563
% 0.73/1.13 This is a problem with some equality
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13
% 0.73/1.13 Options Used:
% 0.73/1.13
% 0.73/1.13 useres = 1
% 0.73/1.13 useparamod = 1
% 0.73/1.13 useeqrefl = 1
% 0.73/1.13 useeqfact = 1
% 0.73/1.13 usefactor = 1
% 0.73/1.13 usesimpsplitting = 0
% 0.73/1.13 usesimpdemod = 5
% 0.73/1.13 usesimpres = 3
% 0.73/1.13
% 0.73/1.13 resimpinuse = 1000
% 0.73/1.13 resimpclauses = 20000
% 0.73/1.13 substype = eqrewr
% 0.73/1.13 backwardsubs = 1
% 0.73/1.13 selectoldest = 5
% 0.73/1.13
% 0.73/1.13 litorderings [0] = split
% 0.73/1.13 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.13
% 0.73/1.13 termordering = kbo
% 0.73/1.13
% 0.73/1.13 litapriori = 0
% 0.73/1.13 termapriori = 1
% 0.73/1.13 litaposteriori = 0
% 0.73/1.13 termaposteriori = 0
% 0.73/1.13 demodaposteriori = 0
% 0.73/1.13 ordereqreflfact = 0
% 0.73/1.13
% 0.73/1.13 litselect = negord
% 0.73/1.13
% 0.73/1.13 maxweight = 15
% 0.73/1.13 maxdepth = 30000
% 0.73/1.13 maxlength = 115
% 0.73/1.13 maxnrvars = 195
% 0.73/1.13 excuselevel = 1
% 0.73/1.13 increasemaxweight = 1
% 0.73/1.13
% 0.73/1.13 maxselected = 10000000
% 0.73/1.13 maxnrclauses = 10000000
% 0.73/1.13
% 0.73/1.13 showgenerated = 0
% 0.73/1.13 showkept = 0
% 0.73/1.13 showselected = 0
% 0.73/1.13 showdeleted = 0
% 0.73/1.13 showresimp = 1
% 0.73/1.13 showstatus = 2000
% 0.73/1.13
% 0.73/1.13 prologoutput = 0
% 0.73/1.13 nrgoals = 5000000
% 0.73/1.13 totalproof = 1
% 0.73/1.13
% 0.73/1.13 Symbols occurring in the translation:
% 0.73/1.13
% 0.73/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.13 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.13 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.73/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.13 ssItem [36, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.13 neq [38, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.13 ssList [39, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.13 memberP [40, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.13 cons [43, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.73/1.13 app [44, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.73/1.13 singletonP [45, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.73/1.13 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.13 frontsegP [47, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.73/1.13 rearsegP [48, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.73/1.13 segmentP [49, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.73/1.13 cyclefreeP [50, 1] (w:1, o:27, a:1, s:1, b:0),
% 1.30/1.68 leq [53, 2] (w:1, o:72, a:1, s:1, b:0),
% 1.30/1.68 totalorderP [54, 1] (w:1, o:42, a:1, s:1, b:0),
% 1.30/1.68 strictorderP [55, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.30/1.68 lt [56, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.30/1.68 totalorderedP [57, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.30/1.68 strictorderedP [58, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.30/1.68 duplicatefreeP [59, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.30/1.68 equalelemsP [60, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.30/1.68 hd [61, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.30/1.68 tl [62, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.30/1.68 geq [63, 2] (w:1, o:81, a:1, s:1, b:0),
% 1.30/1.68 gt [64, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.30/1.68 alpha1 [65, 3] (w:1, o:108, a:1, s:1, b:1),
% 1.30/1.68 alpha2 [66, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.30/1.68 alpha3 [67, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.30/1.68 alpha4 [68, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.30/1.68 alpha5 [69, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.30/1.68 alpha6 [70, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.30/1.68 alpha7 [71, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.30/1.68 alpha8 [72, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.30/1.68 alpha9 [73, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.30/1.68 alpha10 [74, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.30/1.68 alpha11 [75, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.30/1.68 alpha12 [76, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.30/1.68 alpha13 [77, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.30/1.68 alpha14 [78, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.30/1.68 alpha15 [79, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.30/1.68 alpha16 [80, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.30/1.68 alpha17 [81, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.30/1.68 alpha18 [82, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.30/1.68 alpha19 [83, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.30/1.68 alpha20 [84, 2] (w:1, o:83, a:1, s:1, b:1),
% 1.30/1.68 alpha21 [85, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.30/1.68 alpha22 [86, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.30/1.68 alpha23 [87, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.30/1.68 alpha24 [88, 4] (w:1, o:126, a:1, s:1, b:1),
% 1.30/1.68 alpha25 [89, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.30/1.68 alpha26 [90, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.30/1.68 alpha27 [91, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.30/1.68 alpha28 [92, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.30/1.68 alpha29 [93, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.30/1.68 alpha30 [94, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.30/1.68 alpha31 [95, 5] (w:1, o:140, a:1, s:1, b:1),
% 1.30/1.68 alpha32 [96, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.30/1.68 alpha33 [97, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.30/1.68 alpha34 [98, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.30/1.68 alpha35 [99, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.30/1.68 alpha36 [100, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.30/1.68 alpha37 [101, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.30/1.68 alpha38 [102, 6] (w:1, o:153, a:1, s:1, b:1),
% 1.30/1.68 alpha39 [103, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.30/1.68 alpha40 [104, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.30/1.68 alpha41 [105, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.30/1.68 alpha42 [106, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.30/1.68 alpha43 [107, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.30/1.68 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.30/1.68 skol2 [109, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.30/1.68 skol3 [110, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.30/1.68 skol4 [111, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.30/1.68 skol5 [112, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.30/1.68 skol6 [113, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.30/1.68 skol7 [114, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.30/1.68 skol8 [115, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.30/1.68 skol9 [116, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.30/1.68 skol10 [117, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.30/1.68 skol11 [118, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.30/1.68 skol12 [119, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.30/1.68 skol13 [120, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.30/1.68 skol14 [121, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.30/1.68 skol15 [122, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.30/1.68 skol16 [123, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.30/1.68 skol17 [124, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.30/1.68 skol18 [125, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.30/1.68 skol19 [126, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.30/1.68 skol20 [127, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.30/1.68 skol21 [128, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.30/1.68 skol22 [129, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.30/1.68 skol23 [130, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.30/1.68 skol24 [131, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.30/1.68 skol25 [132, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.30/1.68 skol26 [133, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.30/1.68 skol27 [134, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.30/1.68 skol28 [135, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.30/1.68 skol29 [136, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.30/1.68 skol30 [137, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.30/1.68 skol31 [138, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.30/1.68 skol32 [139, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.30/1.68 skol33 [140, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.30/1.68 skol34 [141, 1] (w:1, o:30, a:1, s:1, b:1),
% 1.30/1.68 skol35 [142, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.30/1.68 skol36 [143, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.30/1.68 skol37 [144, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.30/1.68 skol38 [145, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.30/1.68 skol39 [146, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.30/1.68 skol40 [147, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.30/1.68 skol41 [148, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.30/1.68 skol42 [149, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.30/1.68 skol43 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.30/1.68 skol44 [151, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.30/1.68 skol45 [152, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.30/1.68 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.30/1.68 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.30/1.68 skol48 [155, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.30/1.68 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.30/1.68 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.30/1.68 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1).
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Starting Search:
% 1.30/1.68
% 1.30/1.68 *** allocated 22500 integers for clauses
% 1.30/1.68 *** allocated 33750 integers for clauses
% 1.30/1.68 *** allocated 50625 integers for clauses
% 1.30/1.68 *** allocated 22500 integers for termspace/termends
% 1.30/1.68 *** allocated 75937 integers for clauses
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 33750 integers for termspace/termends
% 1.30/1.68 *** allocated 113905 integers for clauses
% 1.30/1.68 *** allocated 50625 integers for termspace/termends
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 3757
% 1.30/1.68 Kept: 2050
% 1.30/1.68 Inuse: 224
% 1.30/1.68 Deleted: 10
% 1.30/1.68 Deletedinuse: 3
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 170857 integers for clauses
% 1.30/1.68 *** allocated 75937 integers for termspace/termends
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 256285 integers for clauses
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 6886
% 1.30/1.68 Kept: 4095
% 1.30/1.68 Inuse: 379
% 1.30/1.68 Deleted: 11
% 1.30/1.68 Deletedinuse: 4
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 113905 integers for termspace/termends
% 1.30/1.68 *** allocated 384427 integers for clauses
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 10202
% 1.30/1.68 Kept: 6107
% 1.30/1.68 Inuse: 514
% 1.30/1.68 Deleted: 27
% 1.30/1.68 Deletedinuse: 20
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 170857 integers for termspace/termends
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 576640 integers for clauses
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 13271
% 1.30/1.68 Kept: 8150
% 1.30/1.68 Inuse: 622
% 1.30/1.68 Deleted: 42
% 1.30/1.68 Deletedinuse: 35
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 16394
% 1.30/1.68 Kept: 10178
% 1.30/1.68 Inuse: 679
% 1.30/1.68 Deleted: 42
% 1.30/1.68 Deletedinuse: 35
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 256285 integers for termspace/termends
% 1.30/1.68 *** allocated 864960 integers for clauses
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 20547
% 1.30/1.68 Kept: 12233
% 1.30/1.68 Inuse: 753
% 1.30/1.68 Deleted: 63
% 1.30/1.68 Deletedinuse: 54
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 28394
% 1.30/1.68 Kept: 14545
% 1.30/1.68 Inuse: 782
% 1.30/1.68 Deleted: 66
% 1.30/1.68 Deletedinuse: 57
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 384427 integers for termspace/termends
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 34139
% 1.30/1.68 Kept: 16545
% 1.30/1.68 Inuse: 839
% 1.30/1.68 Deleted: 81
% 1.30/1.68 Deletedinuse: 70
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 Resimplifying inuse:
% 1.30/1.68 Done
% 1.30/1.68
% 1.30/1.68 *** allocated 1297440 integers for clauses
% 1.30/1.68
% 1.30/1.68 Intermediate Status:
% 1.30/1.68 Generated: 42434
% 1.30/1.68 Kept: 18672
% 1.30/1.68 Inuse: 901
% 1.30/1.68 Deleted: 94
% 1.30/1.68 Deletedinuse: 74
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Bliksems!, er is een bewijs:
% 1.30/1.68 % SZS status Theorem
% 1.30/1.68 % SZS output start Refutation
% 1.30/1.68
% 1.30/1.68 (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.30/1.68 (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), ! frontsegP( X
% 1.30/1.68 , Y ), ! frontsegP( Y, X ), X = Y }.
% 1.30/1.68 (195) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, X ) }.
% 1.30/1.68 (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.30/1.68 (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.30/1.68 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.30/1.68 (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { skol49 ==> skol46 }.
% 1.30/1.68 (282) {G2,W8,D2,L3,V1,M3} I;d(281);f { ! ssList( X ), ! neq( X, nil ), !
% 1.30/1.68 frontsegP( skol46, X ) }.
% 1.30/1.68 (283) {G2,W3,D2,L1,V0,M1} I;d(281);f { ! skol46 ==> nil }.
% 1.30/1.68 (529) {G1,W3,D2,L1,V0,M1} R(195,275) { frontsegP( skol46, skol46 ) }.
% 1.30/1.68 (12811) {G3,W8,D2,L3,V1,M3} P(159,283);r(275) { ! X = nil, ! ssList( X ),
% 1.30/1.68 neq( skol46, X ) }.
% 1.30/1.68 (12844) {G4,W3,D2,L1,V0,M1} Q(12811);r(161) { neq( skol46, nil ) }.
% 1.30/1.68 (18485) {G5,W10,D2,L4,V1,M4} P(194,12844);r(282) { ! ssList( skol46 ), !
% 1.30/1.68 ssList( X ), ! frontsegP( skol46, X ), ! frontsegP( X, skol46 ) }.
% 1.30/1.68 (18664) {G6,W3,D2,L1,V0,M1} F(18485);f;r(275) { ! frontsegP( skol46, skol46
% 1.30/1.68 ) }.
% 1.30/1.68 (18672) {G7,W0,D0,L0,V0,M0} S(18664);r(529) { }.
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 % SZS output end Refutation
% 1.30/1.68 found a proof!
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Unprocessed initial clauses:
% 1.30/1.68
% 1.30/1.68 (18674) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.30/1.68 , ! X = Y }.
% 1.30/1.68 (18675) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18676) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.30/1.68 (18677) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.30/1.68 (18678) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.30/1.68 (18679) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.30/1.68 , Y ), ssList( skol2( Z, T ) ) }.
% 1.30/1.68 (18680) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.30/1.68 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.30/1.68 (18681) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.30/1.68 (18682) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.30/1.68 ) ) }.
% 1.30/1.68 (18683) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.30/1.68 ( X, Y, Z ) ) ) = X }.
% 1.30/1.68 (18684) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.30/1.68 , alpha1( X, Y, Z ) }.
% 1.30/1.68 (18685) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.30/1.68 skol4( Y ) ) }.
% 1.30/1.68 (18686) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.30/1.68 skol4( X ), nil ) = X }.
% 1.30/1.68 (18687) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.30/1.68 nil ) = X, singletonP( X ) }.
% 1.30/1.68 (18688) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.30/1.68 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.30/1.68 (18689) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.30/1.68 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.30/1.68 (18690) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.30/1.68 (18691) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.30/1.68 , Y ), ssList( skol6( Z, T ) ) }.
% 1.30/1.68 (18692) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.30/1.68 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.30/1.68 (18693) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.30/1.68 (18694) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.30/1.68 , Y ), ssList( skol7( Z, T ) ) }.
% 1.30/1.68 (18695) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.30/1.68 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.30/1.68 (18696) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.30/1.68 (18697) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.30/1.68 ) ) }.
% 1.30/1.68 (18698) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.30/1.68 skol8( X, Y, Z ) ) = X }.
% 1.30/1.68 (18699) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.30/1.68 , alpha2( X, Y, Z ) }.
% 1.30/1.68 (18700) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.30/1.68 Y ), alpha3( X, Y ) }.
% 1.30/1.68 (18701) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.30/1.68 cyclefreeP( X ) }.
% 1.30/1.68 (18702) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.30/1.68 cyclefreeP( X ) }.
% 1.30/1.68 (18703) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18704) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.30/1.68 (18705) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18706) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha28( X, Y, Z, T ) }.
% 1.30/1.68 (18707) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18708) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.30/1.68 alpha21( X, Y, Z ) }.
% 1.30/1.68 (18709) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha35( X, Y, Z, T, U ) }.
% 1.30/1.68 (18710) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18711) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.30/1.68 ), alpha28( X, Y, Z, T ) }.
% 1.30/1.68 (18712) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha41( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18713) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha35( X, Y, Z, T, U ) }.
% 1.30/1.68 (18714) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.30/1.68 (18715) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.30/1.68 (18716) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18717) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.30/1.68 W ) }.
% 1.30/1.68 (18718) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.30/1.68 X ) }.
% 1.30/1.68 (18719) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.30/1.68 (18720) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.30/1.68 (18721) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.30/1.68 ( Y ), alpha4( X, Y ) }.
% 1.30/1.68 (18722) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.30/1.68 totalorderP( X ) }.
% 1.30/1.68 (18723) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.30/1.68 totalorderP( X ) }.
% 1.30/1.68 (18724) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18725) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.30/1.68 (18726) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18727) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha29( X, Y, Z, T ) }.
% 1.30/1.68 (18728) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18729) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.30/1.68 alpha22( X, Y, Z ) }.
% 1.30/1.68 (18730) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha36( X, Y, Z, T, U ) }.
% 1.30/1.68 (18731) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18732) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.30/1.68 ), alpha29( X, Y, Z, T ) }.
% 1.30/1.68 (18733) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha42( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18734) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha36( X, Y, Z, T, U ) }.
% 1.30/1.68 (18735) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.30/1.68 (18736) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.30/1.68 (18737) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18738) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.30/1.68 W ) }.
% 1.30/1.68 (18739) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.30/1.68 }.
% 1.30/1.68 (18740) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.30/1.68 (18741) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.30/1.68 (18742) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.30/1.68 ( Y ), alpha5( X, Y ) }.
% 1.30/1.68 (18743) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.30/1.68 strictorderP( X ) }.
% 1.30/1.68 (18744) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.30/1.68 strictorderP( X ) }.
% 1.30/1.68 (18745) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18746) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.30/1.68 (18747) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18748) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha30( X, Y, Z, T ) }.
% 1.30/1.68 (18749) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18750) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.30/1.68 alpha23( X, Y, Z ) }.
% 1.30/1.68 (18751) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha37( X, Y, Z, T, U ) }.
% 1.30/1.68 (18752) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18753) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.30/1.68 ), alpha30( X, Y, Z, T ) }.
% 1.30/1.68 (18754) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha43( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18755) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha37( X, Y, Z, T, U ) }.
% 1.30/1.68 (18756) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.30/1.68 (18757) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.30/1.68 (18758) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18759) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.30/1.68 W ) }.
% 1.30/1.68 (18760) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.30/1.68 }.
% 1.30/1.68 (18761) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.30/1.68 (18762) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.30/1.68 (18763) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.30/1.68 ssItem( Y ), alpha6( X, Y ) }.
% 1.30/1.68 (18764) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.30/1.68 totalorderedP( X ) }.
% 1.30/1.68 (18765) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.30/1.68 totalorderedP( X ) }.
% 1.30/1.68 (18766) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18767) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.30/1.68 (18768) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18769) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha24( X, Y, Z, T ) }.
% 1.30/1.68 (18770) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18771) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.30/1.68 alpha15( X, Y, Z ) }.
% 1.30/1.68 (18772) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha31( X, Y, Z, T, U ) }.
% 1.30/1.68 (18773) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18774) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.30/1.68 ), alpha24( X, Y, Z, T ) }.
% 1.30/1.68 (18775) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha38( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18776) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha31( X, Y, Z, T, U ) }.
% 1.30/1.68 (18777) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.30/1.68 (18778) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.30/1.68 (18779) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18780) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.30/1.68 }.
% 1.30/1.68 (18781) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.30/1.68 ssItem( Y ), alpha7( X, Y ) }.
% 1.30/1.68 (18782) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.30/1.68 strictorderedP( X ) }.
% 1.30/1.68 (18783) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.30/1.68 strictorderedP( X ) }.
% 1.30/1.68 (18784) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18785) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.30/1.68 (18786) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18787) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha25( X, Y, Z, T ) }.
% 1.30/1.68 (18788) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18789) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.30/1.68 alpha16( X, Y, Z ) }.
% 1.30/1.68 (18790) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha32( X, Y, Z, T, U ) }.
% 1.30/1.68 (18791) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18792) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.30/1.68 ), alpha25( X, Y, Z, T ) }.
% 1.30/1.68 (18793) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha39( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18794) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha32( X, Y, Z, T, U ) }.
% 1.30/1.68 (18795) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.30/1.68 (18796) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.30/1.68 (18797) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18798) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.30/1.68 }.
% 1.30/1.68 (18799) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.30/1.68 ssItem( Y ), alpha8( X, Y ) }.
% 1.30/1.68 (18800) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.30/1.68 duplicatefreeP( X ) }.
% 1.30/1.68 (18801) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.30/1.68 duplicatefreeP( X ) }.
% 1.30/1.68 (18802) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18803) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.30/1.68 (18804) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18805) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha26( X, Y, Z, T ) }.
% 1.30/1.68 (18806) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18807) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.30/1.68 alpha17( X, Y, Z ) }.
% 1.30/1.68 (18808) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha33( X, Y, Z, T, U ) }.
% 1.30/1.68 (18809) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18810) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.30/1.68 ), alpha26( X, Y, Z, T ) }.
% 1.30/1.68 (18811) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.30/1.68 alpha40( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18812) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.30/1.68 alpha33( X, Y, Z, T, U ) }.
% 1.30/1.68 (18813) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.30/1.68 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.30/1.68 (18814) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.30/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.30/1.68 (18815) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.30/1.68 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18816) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.30/1.68 (18817) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.30/1.68 ( Y ), alpha9( X, Y ) }.
% 1.30/1.68 (18818) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.30/1.68 equalelemsP( X ) }.
% 1.30/1.68 (18819) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.30/1.68 equalelemsP( X ) }.
% 1.30/1.68 (18820) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.30/1.68 , Y, Z ) }.
% 1.30/1.68 (18821) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.30/1.68 (18822) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18823) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.30/1.68 alpha27( X, Y, Z, T ) }.
% 1.30/1.68 (18824) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.30/1.68 Z ) }.
% 1.30/1.68 (18825) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.30/1.68 alpha18( X, Y, Z ) }.
% 1.30/1.68 (18826) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.30/1.68 alpha34( X, Y, Z, T, U ) }.
% 1.30/1.68 (18827) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.30/1.68 X, Y, Z, T ) }.
% 1.30/1.68 (18828) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.30/1.68 ), alpha27( X, Y, Z, T ) }.
% 1.30/1.68 (18829) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.30/1.68 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.30/1.68 (18830) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.30/1.68 alpha34( X, Y, Z, T, U ) }.
% 1.30/1.68 (18831) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.30/1.68 (18832) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.30/1.68 , ! X = Y }.
% 1.30/1.68 (18833) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.30/1.68 , Y ) }.
% 1.30/1.68 (18834) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.30/1.68 Y, X ) ) }.
% 1.30/1.68 (18835) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.30/1.68 (18836) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.30/1.68 = X }.
% 1.30/1.68 (18837) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.30/1.68 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.30/1.68 (18838) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.30/1.68 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.30/1.68 (18839) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.30/1.68 ) }.
% 1.30/1.68 (18840) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.30/1.68 ) }.
% 1.30/1.68 (18841) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.30/1.68 skol43( X ) ) = X }.
% 1.30/1.68 (18842) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.30/1.68 Y, X ) }.
% 1.30/1.68 (18843) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.30/1.68 }.
% 1.30/1.68 (18844) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.30/1.68 X ) ) = Y }.
% 1.30/1.68 (18845) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.30/1.68 }.
% 1.30/1.68 (18846) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.30/1.68 X ) ) = X }.
% 1.30/1.68 (18847) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.30/1.68 , Y ) ) }.
% 1.30/1.68 (18848) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.30/1.68 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.30/1.68 (18849) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.30/1.68 (18850) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.30/1.68 , ! leq( Y, X ), X = Y }.
% 1.30/1.68 (18851) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.30/1.68 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.30/1.68 (18852) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.30/1.68 (18853) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.30/1.68 , leq( Y, X ) }.
% 1.30/1.68 (18854) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.30/1.68 , geq( X, Y ) }.
% 1.30/1.68 (18855) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.30/1.68 , ! lt( Y, X ) }.
% 1.30/1.68 (18856) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.30/1.68 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.30/1.68 (18857) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.30/1.68 , lt( Y, X ) }.
% 1.30/1.68 (18858) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.30/1.68 , gt( X, Y ) }.
% 1.30/1.68 (18859) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.30/1.68 (18860) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.30/1.68 (18861) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.30/1.68 (18862) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.30/1.68 (18863) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.30/1.68 (18864) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.30/1.68 (18865) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.30/1.68 (18866) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.30/1.68 (18867) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.30/1.68 (18868) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.30/1.68 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.30/1.68 (18869) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.30/1.68 (18870) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.30/1.68 (18871) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.30/1.68 (18872) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.30/1.68 , T ) }.
% 1.30/1.68 (18873) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.30/1.68 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.30/1.68 cons( Y, T ) ) }.
% 1.30/1.68 (18874) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.30/1.68 (18875) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.30/1.68 X }.
% 1.30/1.68 (18876) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.30/1.68 ) }.
% 1.30/1.68 (18877) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.30/1.68 (18878) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.30/1.68 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.30/1.68 (18879) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.30/1.68 (18880) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.30/1.68 (18881) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.30/1.68 (18882) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.30/1.68 }.
% 1.30/1.68 (18883) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.30/1.68 }.
% 1.30/1.68 (18884) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.30/1.68 (18885) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.30/1.68 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.30/1.68 (18886) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.30/1.68 (18887) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.30/1.68 }.
% 1.30/1.68 (18888) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.30/1.68 (18889) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.30/1.68 }.
% 1.30/1.68 (18890) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.30/1.68 }.
% 1.30/1.68 (18891) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.30/1.68 }.
% 1.30/1.68 (18892) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.30/1.68 (18893) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.30/1.68 }.
% 1.30/1.68 (18894) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.30/1.68 (18895) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.30/1.68 ) }.
% 1.30/1.68 (18896) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.30/1.68 (18897) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.30/1.68 ) }.
% 1.30/1.68 (18898) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.30/1.68 (18899) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.30/1.68 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.30/1.68 (18900) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.30/1.68 totalorderedP( cons( X, Y ) ) }.
% 1.30/1.68 (18901) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.30/1.68 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.30/1.68 (18902) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.30/1.68 (18903) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.30/1.68 (18904) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.30/1.68 }.
% 1.30/1.68 (18905) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.30/1.68 (18906) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.30/1.68 (18907) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.30/1.68 alpha19( X, Y ) }.
% 1.30/1.68 (18908) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.30/1.68 ) ) }.
% 1.30/1.68 (18909) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.30/1.68 (18910) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.30/1.68 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.30/1.68 (18911) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.30/1.68 strictorderedP( cons( X, Y ) ) }.
% 1.30/1.68 (18912) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.30/1.68 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.30/1.68 (18913) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.30/1.68 (18914) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.30/1.68 (18915) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.30/1.68 }.
% 1.30/1.68 (18916) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.30/1.68 (18917) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.30/1.68 (18918) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.30/1.68 alpha20( X, Y ) }.
% 1.30/1.68 (18919) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.30/1.68 ) ) }.
% 1.30/1.68 (18920) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.30/1.68 (18921) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.30/1.68 }.
% 1.30/1.68 (18922) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.30/1.68 (18923) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.30/1.68 ) }.
% 1.30/1.68 (18924) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.30/1.68 ) }.
% 1.30/1.68 (18925) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.30/1.68 ) }.
% 1.30/1.68 (18926) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.30/1.68 ) }.
% 1.30/1.68 (18927) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.30/1.68 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.30/1.68 (18928) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.30/1.68 X ) ) = X }.
% 1.30/1.68 (18929) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.30/1.68 (18930) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.30/1.68 (18931) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.30/1.68 = app( cons( Y, nil ), X ) }.
% 1.30/1.68 (18932) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.30/1.68 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.30/1.68 (18933) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.30/1.68 X, Y ), nil = Y }.
% 1.30/1.68 (18934) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.30/1.68 X, Y ), nil = X }.
% 1.30/1.68 (18935) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.30/1.68 nil = X, nil = app( X, Y ) }.
% 1.30/1.68 (18936) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.30/1.68 (18937) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.30/1.68 app( X, Y ) ) = hd( X ) }.
% 1.30/1.68 (18938) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.30/1.68 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.30/1.68 (18939) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.30/1.68 , ! geq( Y, X ), X = Y }.
% 1.30/1.68 (18940) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.30/1.68 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.30/1.68 (18941) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.30/1.68 (18942) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.30/1.68 (18943) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.30/1.68 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.30/1.68 (18944) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.30/1.68 , X = Y, lt( X, Y ) }.
% 1.30/1.68 (18945) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.30/1.68 , ! X = Y }.
% 1.30/1.68 (18946) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.30/1.68 , leq( X, Y ) }.
% 1.30/1.68 (18947) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.30/1.68 ( X, Y ), lt( X, Y ) }.
% 1.30/1.68 (18948) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.30/1.68 , ! gt( Y, X ) }.
% 1.30/1.68 (18949) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.30/1.68 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.30/1.68 (18950) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.30/1.68 (18951) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.30/1.68 (18952) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.30/1.68 (18953) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.30/1.68 (18954) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.30/1.68 (18955) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.30/1.68 (18956) {G0,W3,D2,L1,V0,M1} { skol51 = skol50 }.
% 1.30/1.68 (18957) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil ), ! frontsegP
% 1.30/1.68 ( skol49, X ), ! frontsegP( skol46, X ) }.
% 1.30/1.68 (18958) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil = skol46 }.
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Total Proof:
% 1.30/1.68
% 1.30/1.68 subsumption: (159) {G0,W10,D2,L4,V2,M4} I { ! ssList( X ), ! ssList( Y ), X
% 1.30/1.68 = Y, neq( X, Y ) }.
% 1.30/1.68 parent0: (18833) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X =
% 1.30/1.68 Y, neq( X, Y ) }.
% 1.30/1.68 substitution0:
% 1.30/1.68 X := X
% 1.30/1.68 Y := Y
% 1.30/1.68 end
% 1.30/1.68 permutation0:
% 1.30/1.68 0 ==> 0
% 1.30/1.68 1 ==> 1
% 1.30/1.68 2 ==> 2
% 1.30/1.68 3 ==> 3
% 1.30/1.68 end
% 1.30/1.68
% 1.30/1.68 subsumption: (161) {G0,W2,D2,L1,V0,M1} I { ssList( nil ) }.
% 1.30/1.68 parent0: (18835) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.30/1.68 substitution0:
% 1.30/1.68 end
% 1.30/1.68 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (194) {G0,W13,D2,L5,V2,M5} I { ! ssList( X ), ! ssList( Y ), !
% 1.30/1.70 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.30/1.70 parent0: (18868) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), !
% 1.30/1.70 frontsegP( X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.30/1.70 substitution0:
% 1.30/1.70 X := X
% 1.30/1.70 Y := Y
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 1 ==> 1
% 1.30/1.70 2 ==> 2
% 1.30/1.70 3 ==> 3
% 1.30/1.70 4 ==> 4
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (195) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, X )
% 1.30/1.70 }.
% 1.30/1.70 parent0: (18869) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X )
% 1.30/1.70 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 X := X
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 1 ==> 1
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.30/1.70 parent0: (18950) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 eqswap: (20069) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.30/1.70 parent0[0]: (18954) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.30/1.70 parent0: (20069) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 eqswap: (20417) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.30/1.70 parent0[0]: (18955) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.30/1.70 parent0: (20417) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 paramod: (21343) {G1,W3,D2,L1,V0,M1} { skol49 = skol50 }.
% 1.30/1.70 parent0[0]: (279) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.30/1.70 parent1[0; 1]: (18956) {G0,W3,D2,L1,V0,M1} { skol51 = skol50 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 substitution1:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 paramod: (21344) {G1,W3,D2,L1,V0,M1} { skol49 = skol46 }.
% 1.30/1.70 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.30/1.70 parent1[0; 2]: (21343) {G1,W3,D2,L1,V0,M1} { skol49 = skol50 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 substitution1:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { skol49 ==> skol46
% 1.30/1.70 }.
% 1.30/1.70 parent0: (21344) {G1,W3,D2,L1,V0,M1} { skol49 = skol46 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 paramod: (21991) {G1,W11,D2,L4,V1,M4} { ! frontsegP( skol46, X ), ! ssList
% 1.30/1.70 ( X ), ! neq( X, nil ), ! frontsegP( skol46, X ) }.
% 1.30/1.70 parent0[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { skol49 ==> skol46
% 1.30/1.70 }.
% 1.30/1.70 parent1[2; 2]: (18957) {G0,W11,D2,L4,V1,M4} { ! ssList( X ), ! neq( X, nil
% 1.30/1.70 ), ! frontsegP( skol49, X ), ! frontsegP( skol46, X ) }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 substitution1:
% 1.30/1.70 X := X
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 factor: (21992) {G1,W8,D2,L3,V1,M3} { ! frontsegP( skol46, X ), ! ssList(
% 1.30/1.70 X ), ! neq( X, nil ) }.
% 1.30/1.70 parent0[0, 3]: (21991) {G1,W11,D2,L4,V1,M4} { ! frontsegP( skol46, X ), !
% 1.30/1.70 ssList( X ), ! neq( X, nil ), ! frontsegP( skol46, X ) }.
% 1.30/1.70 substitution0:
% 1.30/1.70 X := X
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (282) {G2,W8,D2,L3,V1,M3} I;d(281);f { ! ssList( X ), ! neq( X
% 1.30/1.70 , nil ), ! frontsegP( skol46, X ) }.
% 1.30/1.70 parent0: (21992) {G1,W8,D2,L3,V1,M3} { ! frontsegP( skol46, X ), ! ssList
% 1.30/1.70 ( X ), ! neq( X, nil ) }.
% 1.30/1.70 substitution0:
% 1.30/1.70 X := X
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 2
% 1.30/1.70 1 ==> 0
% 1.30/1.70 2 ==> 1
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 paramod: (22644) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, ! nil = skol46 }.
% 1.30/1.70 parent0[0]: (281) {G1,W3,D2,L1,V0,M1} I;d(279);d(280) { skol49 ==> skol46
% 1.30/1.70 }.
% 1.30/1.70 parent1[0; 3]: (18958) {G0,W6,D2,L2,V0,M2} { ! nil = skol49, ! nil =
% 1.30/1.70 skol46 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 substitution1:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 factor: (22645) {G1,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.30/1.70 parent0[0, 1]: (22644) {G1,W6,D2,L2,V0,M2} { ! nil = skol46, ! nil =
% 1.30/1.70 skol46 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 eqswap: (22646) {G1,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.30/1.70 parent0[0]: (22645) {G1,W3,D2,L1,V0,M1} { ! nil = skol46 }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (283) {G2,W3,D2,L1,V0,M1} I;d(281);f { ! skol46 ==> nil }.
% 1.30/1.70 parent0: (22646) {G1,W3,D2,L1,V0,M1} { ! skol46 = nil }.
% 1.30/1.70 substitution0:
% 1.30/1.70 end
% 1.30/1.70 permutation0:
% 1.30/1.70 0 ==> 0
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 resolution: (22647) {G1,W3,D2,L1,V0,M1} { frontsegP( skol46, skol46 ) }.
% 1.30/1.70 parent0[0]: (195) {G0,W5,D2,L2,V1,M2} I { ! ssList( X ), frontsegP( X, X )
% 1.30/1.70 }.
% 1.30/1.70 parent1[0]: (275) {G0,W2,D2,L1,V0,M1} I { ssList( skol46 ) }.
% 1.30/1.70 substitution0:
% 1.30/1.70 X := skol46
% 1.30/1.70 end
% 1.30/1.70 substitution1:
% 1.30/1.70 end
% 1.30/1.70
% 1.30/1.70 subsumption: (529) {G1,W3,D2,L1,V0,M1} R(195,275) { frontCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------