TSTP Solution File: SWC408+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 19:36:40 EDT 2022
% Result : Theorem 1.27s 1.68s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sun Jun 12 15:57:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.16 *** allocated 10000 integers for termspace/termends
% 0.46/1.16 *** allocated 10000 integers for clauses
% 0.46/1.16 *** allocated 10000 integers for justifications
% 0.46/1.16 Bliksem 1.12
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 Automatic Strategy Selection
% 0.46/1.16
% 0.46/1.16 *** allocated 15000 integers for termspace/termends
% 0.46/1.16
% 0.46/1.16 Clauses:
% 0.46/1.16
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ssItem( skol1 ) }.
% 0.46/1.16 { ssItem( skol47 ) }.
% 0.46/1.16 { ! skol1 = skol47 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.46/1.16 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.46/1.16 ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.46/1.16 ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.46/1.16 = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.46/1.16 ( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.46/1.16 }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.46/1.16 , Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.46/1.16 segmentP( X, Y ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.46/1.16 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.46/1.16 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.46/1.16 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.46/1.16 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.46/1.16 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha12( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.46/1.16 { leq( X, Y ), alpha12( X, Y ) }.
% 0.46/1.16 { leq( Y, X ), alpha12( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.46/1.16 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.46/1.16 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.46/1.16 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha13( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.46/1.16 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.46/1.16 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.46/1.16 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.46/1.16 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, alpha14( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.46/1.16 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.46/1.16 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.46/1.16 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.46/1.16 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, leq( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.46/1.16 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.46/1.16 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.46/1.16 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, lt( Y, Z ) }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.46/1.16 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.46/1.16 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.46/1.16 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.46/1.16 .
% 0.46/1.16 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.46/1.16 , U ) }.
% 0.46/1.16 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.46/1.16 ) ) = X, ! Y = Z }.
% 0.46/1.16 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.46/1.16 W ) }.
% 0.46/1.16 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.46/1.16 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.46/1.16 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.46/1.16 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.46/1.16 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.46/1.16 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.46/1.16 Z }.
% 0.46/1.16 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.46/1.16 { ssList( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Z = T }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.46/1.16 ) = cons( T, Y ), Y = X }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.46/1.16 ( cons( Z, Y ), X ) }.
% 0.46/1.16 { ! ssList( X ), app( nil, X ) = X }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.46/1.16 , leq( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), leq( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.46/1.16 lt( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.46/1.16 , memberP( Y, X ), memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 app( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.46/1.16 , X = Y, memberP( Z, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.46/1.16 ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.46/1.16 cons( Y, Z ), X ) }.
% 0.46/1.16 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.46/1.16 { ! singletonP( nil ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.46/1.16 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.46/1.16 = Y }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.46/1.16 frontsegP( app( X, Z ), Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.46/1.16 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.46/1.16 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.46/1.16 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.46/1.16 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.46/1.16 ( app( Z, X ), Y ) }.
% 0.46/1.16 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.46/1.16 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.46/1.16 Y }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.46/1.16 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.46/1.16 { ! ssList( X ), segmentP( X, nil ) }.
% 0.46/1.16 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.46/1.16 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.46/1.16 { cyclefreeP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.46/1.16 { strictorderP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.46/1.16 { totalorderedP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.16 alpha10( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.46/1.16 .
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.46/1.16 Y ) ) }.
% 0.46/1.16 { ! alpha10( X, Y ), ! nil = Y }.
% 0.46/1.16 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.46/1.16 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.46/1.16 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.46/1.16 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.46/1.16 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.46/1.16 { strictorderedP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.46/1.16 alpha11( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.46/1.16 .
% 0.46/1.16 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.46/1.16 , Y ) ) }.
% 0.46/1.16 { ! alpha11( X, Y ), ! nil = Y }.
% 0.46/1.16 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.46/1.16 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.46/1.16 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.46/1.16 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.46/1.16 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.46/1.16 { duplicatefreeP( nil ) }.
% 0.46/1.16 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.46/1.16 { equalelemsP( nil ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.46/1.16 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.46/1.16 ( Y ) = tl( X ), Y = X }.
% 0.46/1.16 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.46/1.16 , Z = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.46/1.16 , Z = X }.
% 0.46/1.16 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.46/1.16 ( X, app( Y, Z ) ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.46/1.16 { ! ssList( X ), app( X, nil ) = X }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.46/1.16 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.46/1.16 Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.46/1.16 , geq( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), geq( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! lt( X, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.46/1.16 , lt( X, Z ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.46/1.16 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.46/1.16 gt( X, Z ) }.
% 0.46/1.16 { ssList( skol46 ) }.
% 0.46/1.16 { ssList( skol49 ) }.
% 0.46/1.16 { ssList( skol50 ) }.
% 0.46/1.16 { ssList( skol51 ) }.
% 0.46/1.16 { app( skol51, skol51 ) = skol50 }.
% 0.46/1.16 { skol49 = skol51 }.
% 0.46/1.16 { skol46 = skol50 }.
% 0.46/1.16 { ssItem( skol52 ) }.
% 0.46/1.16 { memberP( skol49, skol52 ) }.
% 0.46/1.16 { ! memberP( skol46, skol52 ) }.
% 0.46/1.16
% 0.46/1.16 *** allocated 15000 integers for clauses
% 0.46/1.16 percentage equality = 0.128725, percentage horn = 0.761404
% 0.46/1.16 This is a problem with some equality
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16
% 0.46/1.16 Options Used:
% 0.46/1.16
% 0.46/1.16 useres = 1
% 0.46/1.16 useparamod = 1
% 0.46/1.16 useeqrefl = 1
% 0.46/1.16 useeqfact = 1
% 0.46/1.16 usefactor = 1
% 0.46/1.16 usesimpsplitting = 0
% 0.46/1.16 usesimpdemod = 5
% 0.46/1.16 usesimpres = 3
% 0.46/1.16
% 0.46/1.16 resimpinuse = 1000
% 0.46/1.16 resimpclauses = 20000
% 0.46/1.16 substype = eqrewr
% 0.46/1.16 backwardsubs = 1
% 0.46/1.16 selectoldest = 5
% 0.46/1.16
% 0.46/1.16 litorderings [0] = split
% 0.46/1.16 litorderings [1] = extend the termordering, first sorting on arguments
% 0.46/1.16
% 0.46/1.16 termordering = kbo
% 0.46/1.16
% 0.46/1.16 litapriori = 0
% 0.46/1.16 termapriori = 1
% 0.46/1.16 litaposteriori = 0
% 0.46/1.16 termaposteriori = 0
% 0.46/1.16 demodaposteriori = 0
% 0.46/1.16 ordereqreflfact = 0
% 0.46/1.16
% 0.46/1.16 litselect = negord
% 0.46/1.16
% 0.46/1.16 maxweight = 15
% 0.46/1.16 maxdepth = 30000
% 0.46/1.16 maxlength = 115
% 0.46/1.16 maxnrvars = 195
% 0.46/1.16 excuselevel = 1
% 0.46/1.16 increasemaxweight = 1
% 0.46/1.16
% 0.46/1.16 maxselected = 10000000
% 0.46/1.16 maxnrclauses = 10000000
% 0.46/1.16
% 0.46/1.16 showgenerated = 0
% 0.46/1.16 showkept = 0
% 0.46/1.16 showselected = 0
% 0.46/1.16 showdeleted = 0
% 0.46/1.16 showresimp = 1
% 0.46/1.16 showstatus = 2000
% 0.46/1.16
% 0.46/1.16 prologoutput = 0
% 0.46/1.16 nrgoals = 5000000
% 0.46/1.16 totalproof = 1
% 0.46/1.16
% 0.46/1.16 Symbols occurring in the translation:
% 0.46/1.16
% 0.46/1.16 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.46/1.16 . [1, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.46/1.16 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.46/1.16 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.16 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.46/1.16 ssItem [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.46/1.16 neq [38, 2] (w:1, o:76, a:1, s:1, b:0),
% 0.46/1.16 ssList [39, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.46/1.16 memberP [40, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.46/1.16 cons [43, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.46/1.16 app [44, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.46/1.16 singletonP [45, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.46/1.16 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.46/1.16 frontsegP [47, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.46/1.16 rearsegP [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.46/1.16 segmentP [49, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.46/1.16 cyclefreeP [50, 1] (w:1, o:28, a:1, s:1, b:0),
% 1.27/1.68 leq [53, 2] (w:1, o:73, a:1, s:1, b:0),
% 1.27/1.68 totalorderP [54, 1] (w:1, o:43, a:1, s:1, b:0),
% 1.27/1.68 strictorderP [55, 1] (w:1, o:29, a:1, s:1, b:0),
% 1.27/1.68 lt [56, 2] (w:1, o:74, a:1, s:1, b:0),
% 1.27/1.68 totalorderedP [57, 1] (w:1, o:44, a:1, s:1, b:0),
% 1.27/1.68 strictorderedP [58, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.27/1.68 duplicatefreeP [59, 1] (w:1, o:45, a:1, s:1, b:0),
% 1.27/1.68 equalelemsP [60, 1] (w:1, o:46, a:1, s:1, b:0),
% 1.27/1.68 hd [61, 1] (w:1, o:47, a:1, s:1, b:0),
% 1.27/1.68 tl [62, 1] (w:1, o:48, a:1, s:1, b:0),
% 1.27/1.68 geq [63, 2] (w:1, o:82, a:1, s:1, b:0),
% 1.27/1.68 gt [64, 2] (w:1, o:83, a:1, s:1, b:0),
% 1.27/1.68 alpha1 [65, 3] (w:1, o:109, a:1, s:1, b:1),
% 1.27/1.68 alpha2 [66, 3] (w:1, o:114, a:1, s:1, b:1),
% 1.27/1.68 alpha3 [67, 2] (w:1, o:85, a:1, s:1, b:1),
% 1.27/1.68 alpha4 [68, 2] (w:1, o:86, a:1, s:1, b:1),
% 1.27/1.68 alpha5 [69, 2] (w:1, o:87, a:1, s:1, b:1),
% 1.27/1.68 alpha6 [70, 2] (w:1, o:88, a:1, s:1, b:1),
% 1.27/1.68 alpha7 [71, 2] (w:1, o:89, a:1, s:1, b:1),
% 1.27/1.68 alpha8 [72, 2] (w:1, o:90, a:1, s:1, b:1),
% 1.27/1.68 alpha9 [73, 2] (w:1, o:91, a:1, s:1, b:1),
% 1.27/1.68 alpha10 [74, 2] (w:1, o:92, a:1, s:1, b:1),
% 1.27/1.68 alpha11 [75, 2] (w:1, o:93, a:1, s:1, b:1),
% 1.27/1.68 alpha12 [76, 2] (w:1, o:94, a:1, s:1, b:1),
% 1.27/1.68 alpha13 [77, 2] (w:1, o:95, a:1, s:1, b:1),
% 1.27/1.68 alpha14 [78, 2] (w:1, o:96, a:1, s:1, b:1),
% 1.27/1.68 alpha15 [79, 3] (w:1, o:110, a:1, s:1, b:1),
% 1.27/1.68 alpha16 [80, 3] (w:1, o:111, a:1, s:1, b:1),
% 1.27/1.68 alpha17 [81, 3] (w:1, o:112, a:1, s:1, b:1),
% 1.27/1.68 alpha18 [82, 3] (w:1, o:113, a:1, s:1, b:1),
% 1.27/1.68 alpha19 [83, 2] (w:1, o:97, a:1, s:1, b:1),
% 1.27/1.68 alpha20 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 1.27/1.68 alpha21 [85, 3] (w:1, o:115, a:1, s:1, b:1),
% 1.27/1.68 alpha22 [86, 3] (w:1, o:116, a:1, s:1, b:1),
% 1.27/1.68 alpha23 [87, 3] (w:1, o:117, a:1, s:1, b:1),
% 1.27/1.68 alpha24 [88, 4] (w:1, o:127, a:1, s:1, b:1),
% 1.27/1.68 alpha25 [89, 4] (w:1, o:128, a:1, s:1, b:1),
% 1.27/1.68 alpha26 [90, 4] (w:1, o:129, a:1, s:1, b:1),
% 1.27/1.68 alpha27 [91, 4] (w:1, o:130, a:1, s:1, b:1),
% 1.27/1.68 alpha28 [92, 4] (w:1, o:131, a:1, s:1, b:1),
% 1.27/1.68 alpha29 [93, 4] (w:1, o:132, a:1, s:1, b:1),
% 1.27/1.68 alpha30 [94, 4] (w:1, o:133, a:1, s:1, b:1),
% 1.27/1.68 alpha31 [95, 5] (w:1, o:141, a:1, s:1, b:1),
% 1.27/1.68 alpha32 [96, 5] (w:1, o:142, a:1, s:1, b:1),
% 1.27/1.68 alpha33 [97, 5] (w:1, o:143, a:1, s:1, b:1),
% 1.27/1.68 alpha34 [98, 5] (w:1, o:144, a:1, s:1, b:1),
% 1.27/1.68 alpha35 [99, 5] (w:1, o:145, a:1, s:1, b:1),
% 1.27/1.68 alpha36 [100, 5] (w:1, o:146, a:1, s:1, b:1),
% 1.27/1.68 alpha37 [101, 5] (w:1, o:147, a:1, s:1, b:1),
% 1.27/1.68 alpha38 [102, 6] (w:1, o:154, a:1, s:1, b:1),
% 1.27/1.68 alpha39 [103, 6] (w:1, o:155, a:1, s:1, b:1),
% 1.27/1.68 alpha40 [104, 6] (w:1, o:156, a:1, s:1, b:1),
% 1.27/1.68 alpha41 [105, 6] (w:1, o:157, a:1, s:1, b:1),
% 1.27/1.68 alpha42 [106, 6] (w:1, o:158, a:1, s:1, b:1),
% 1.27/1.68 alpha43 [107, 6] (w:1, o:159, a:1, s:1, b:1),
% 1.27/1.68 skol1 [108, 0] (w:1, o:13, a:1, s:1, b:1),
% 1.27/1.68 skol2 [109, 2] (w:1, o:100, a:1, s:1, b:1),
% 1.27/1.68 skol3 [110, 3] (w:1, o:120, a:1, s:1, b:1),
% 1.27/1.68 skol4 [111, 1] (w:1, o:33, a:1, s:1, b:1),
% 1.27/1.68 skol5 [112, 2] (w:1, o:102, a:1, s:1, b:1),
% 1.27/1.68 skol6 [113, 2] (w:1, o:103, a:1, s:1, b:1),
% 1.27/1.68 skol7 [114, 2] (w:1, o:104, a:1, s:1, b:1),
% 1.27/1.68 skol8 [115, 3] (w:1, o:121, a:1, s:1, b:1),
% 1.27/1.68 skol9 [116, 1] (w:1, o:34, a:1, s:1, b:1),
% 1.27/1.68 skol10 [117, 2] (w:1, o:98, a:1, s:1, b:1),
% 1.27/1.68 skol11 [118, 3] (w:1, o:122, a:1, s:1, b:1),
% 1.27/1.68 skol12 [119, 4] (w:1, o:134, a:1, s:1, b:1),
% 1.27/1.68 skol13 [120, 5] (w:1, o:148, a:1, s:1, b:1),
% 1.27/1.68 skol14 [121, 1] (w:1, o:35, a:1, s:1, b:1),
% 1.27/1.68 skol15 [122, 2] (w:1, o:99, a:1, s:1, b:1),
% 1.27/1.68 skol16 [123, 3] (w:1, o:123, a:1, s:1, b:1),
% 1.27/1.68 skol17 [124, 4] (w:1, o:135, a:1, s:1, b:1),
% 1.27/1.68 skol18 [125, 5] (w:1, o:149, a:1, s:1, b:1),
% 1.27/1.68 skol19 [126, 1] (w:1, o:36, a:1, s:1, b:1),
% 1.27/1.68 skol20 [127, 2] (w:1, o:105, a:1, s:1, b:1),
% 1.27/1.68 skol21 [128, 3] (w:1, o:118, a:1, s:1, b:1),
% 1.27/1.68 skol22 [129, 4] (w:1, o:136, a:1, s:1, b:1),
% 1.27/1.68 skol23 [130, 5] (w:1, o:150, a:1, s:1, b:1),
% 1.27/1.68 skol24 [131, 1] (w:1, o:37, a:1, s:1, b:1),
% 1.27/1.68 skol25 [132, 2] (w:1, o:106, a:1, s:1, b:1),
% 1.27/1.68 skol26 [133, 3] (w:1, o:119, a:1, s:1, b:1),
% 1.27/1.68 skol27 [134, 4] (w:1, o:137, a:1, s:1, b:1),
% 1.27/1.68 skol28 [135, 5] (w:1, o:151, a:1, s:1, b:1),
% 1.27/1.68 skol29 [136, 1] (w:1, o:38, a:1, s:1, b:1),
% 1.27/1.68 skol30 [137, 2] (w:1, o:107, a:1, s:1, b:1),
% 1.27/1.68 skol31 [138, 3] (w:1, o:124, a:1, s:1, b:1),
% 1.27/1.68 skol32 [139, 4] (w:1, o:138, a:1, s:1, b:1),
% 1.27/1.68 skol33 [140, 5] (w:1, o:152, a:1, s:1, b:1),
% 1.27/1.68 skol34 [141, 1] (w:1, o:31, a:1, s:1, b:1),
% 1.27/1.68 skol35 [142, 2] (w:1, o:108, a:1, s:1, b:1),
% 1.27/1.68 skol36 [143, 3] (w:1, o:125, a:1, s:1, b:1),
% 1.27/1.68 skol37 [144, 4] (w:1, o:139, a:1, s:1, b:1),
% 1.27/1.68 skol38 [145, 5] (w:1, o:153, a:1, s:1, b:1),
% 1.27/1.68 skol39 [146, 1] (w:1, o:32, a:1, s:1, b:1),
% 1.27/1.68 skol40 [147, 2] (w:1, o:101, a:1, s:1, b:1),
% 1.27/1.68 skol41 [148, 3] (w:1, o:126, a:1, s:1, b:1),
% 1.27/1.68 skol42 [149, 4] (w:1, o:140, a:1, s:1, b:1),
% 1.27/1.68 skol43 [150, 1] (w:1, o:39, a:1, s:1, b:1),
% 1.27/1.68 skol44 [151, 1] (w:1, o:40, a:1, s:1, b:1),
% 1.27/1.68 skol45 [152, 1] (w:1, o:41, a:1, s:1, b:1),
% 1.27/1.68 skol46 [153, 0] (w:1, o:14, a:1, s:1, b:1),
% 1.27/1.68 skol47 [154, 0] (w:1, o:15, a:1, s:1, b:1),
% 1.27/1.68 skol48 [155, 1] (w:1, o:42, a:1, s:1, b:1),
% 1.27/1.68 skol49 [156, 0] (w:1, o:16, a:1, s:1, b:1),
% 1.27/1.68 skol50 [157, 0] (w:1, o:17, a:1, s:1, b:1),
% 1.27/1.68 skol51 [158, 0] (w:1, o:18, a:1, s:1, b:1),
% 1.27/1.68 skol52 [159, 0] (w:1, o:19, a:1, s:1, b:1).
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Starting Search:
% 1.27/1.68
% 1.27/1.68 *** allocated 22500 integers for clauses
% 1.27/1.68 *** allocated 33750 integers for clauses
% 1.27/1.68 *** allocated 50625 integers for clauses
% 1.27/1.68 *** allocated 22500 integers for termspace/termends
% 1.27/1.68 *** allocated 75937 integers for clauses
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 33750 integers for termspace/termends
% 1.27/1.68 *** allocated 113905 integers for clauses
% 1.27/1.68 *** allocated 50625 integers for termspace/termends
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 3722
% 1.27/1.68 Kept: 2028
% 1.27/1.68 Inuse: 228
% 1.27/1.68 Deleted: 7
% 1.27/1.68 Deletedinuse: 0
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 170857 integers for clauses
% 1.27/1.68 *** allocated 75937 integers for termspace/termends
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 256285 integers for clauses
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 6997
% 1.27/1.68 Kept: 4036
% 1.27/1.68 Inuse: 389
% 1.27/1.68 Deleted: 12
% 1.27/1.68 Deletedinuse: 5
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 113905 integers for termspace/termends
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 384427 integers for clauses
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 10341
% 1.27/1.68 Kept: 6064
% 1.27/1.68 Inuse: 506
% 1.27/1.68 Deleted: 15
% 1.27/1.68 Deletedinuse: 8
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 170857 integers for termspace/termends
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 576640 integers for clauses
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 13370
% 1.27/1.68 Kept: 8076
% 1.27/1.68 Inuse: 621
% 1.27/1.68 Deleted: 26
% 1.27/1.68 Deletedinuse: 19
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 16688
% 1.27/1.68 Kept: 10121
% 1.27/1.68 Inuse: 674
% 1.27/1.68 Deleted: 26
% 1.27/1.68 Deletedinuse: 19
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 256285 integers for termspace/termends
% 1.27/1.68 *** allocated 864960 integers for clauses
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 21066
% 1.27/1.68 Kept: 12143
% 1.27/1.68 Inuse: 747
% 1.27/1.68 Deleted: 31
% 1.27/1.68 Deletedinuse: 24
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 28978
% 1.27/1.68 Kept: 14322
% 1.27/1.68 Inuse: 779
% 1.27/1.68 Deleted: 36
% 1.27/1.68 Deletedinuse: 29
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 *** allocated 384427 integers for termspace/termends
% 1.27/1.68
% 1.27/1.68 Intermediate Status:
% 1.27/1.68 Generated: 33740
% 1.27/1.68 Kept: 16371
% 1.27/1.68 Inuse: 832
% 1.27/1.68 Deleted: 58
% 1.27/1.68 Deletedinuse: 49
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68 Resimplifying inuse:
% 1.27/1.68 Done
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Bliksems!, er is een bewijs:
% 1.27/1.68 % SZS status Theorem
% 1.27/1.68 % SZS output start Refutation
% 1.27/1.68
% 1.27/1.68 (186) {G0,W14,D3,L5,V3,M5} I { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.68 (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.27/1.68 (279) {G0,W5,D3,L1,V0,M1} I { app( skol51, skol51 ) ==> skol50 }.
% 1.27/1.68 (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.27/1.68 (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.27/1.68 (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 1.27/1.68 (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 1.27/1.68 (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 1.27/1.68 (707) {G1,W5,D3,L1,V0,M1} S(279);d(280);d(281) { app( skol49, skol49 ) ==>
% 1.27/1.68 skol46 }.
% 1.27/1.68 (17774) {G1,W9,D3,L3,V1,M3} R(186,283);r(282) { ! ssList( skol49 ), !
% 1.27/1.68 ssList( X ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.68 (17813) {G2,W3,D2,L1,V0,M1} F(17774);d(707);r(276) { memberP( skol46,
% 1.27/1.68 skol52 ) }.
% 1.27/1.68 (17822) {G3,W0,D0,L0,V0,M0} S(17813);r(284) { }.
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 % SZS output end Refutation
% 1.27/1.68 found a proof!
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Unprocessed initial clauses:
% 1.27/1.68
% 1.27/1.68 (17824) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 1.27/1.68 , ! X = Y }.
% 1.27/1.68 (17825) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17826) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 1.27/1.68 (17827) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 1.27/1.68 (17828) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 1.27/1.68 (17829) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.27/1.68 , Y ), ssList( skol2( Z, T ) ) }.
% 1.27/1.68 (17830) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 1.27/1.68 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 1.27/1.68 (17831) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 1.27/1.68 (17832) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 1.27/1.68 ) ) }.
% 1.27/1.68 (17833) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 1.27/1.68 ( X, Y, Z ) ) ) = X }.
% 1.27/1.68 (17834) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 1.27/1.68 , alpha1( X, Y, Z ) }.
% 1.27/1.68 (17835) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 1.27/1.68 skol4( Y ) ) }.
% 1.27/1.68 (17836) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 1.27/1.68 skol4( X ), nil ) = X }.
% 1.27/1.68 (17837) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 1.27/1.68 nil ) = X, singletonP( X ) }.
% 1.27/1.68 (17838) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.27/1.68 X, Y ), ssList( skol5( Z, T ) ) }.
% 1.27/1.68 (17839) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.27/1.68 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 1.27/1.68 (17840) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 1.27/1.68 (17841) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.27/1.68 , Y ), ssList( skol6( Z, T ) ) }.
% 1.27/1.68 (17842) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.27/1.68 , Y ), app( skol6( X, Y ), Y ) = X }.
% 1.27/1.68 (17843) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 1.27/1.68 (17844) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.27/1.68 , Y ), ssList( skol7( Z, T ) ) }.
% 1.27/1.68 (17845) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.27/1.68 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 1.27/1.68 (17846) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 1.27/1.68 (17847) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 1.27/1.68 ) ) }.
% 1.27/1.68 (17848) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 1.27/1.68 skol8( X, Y, Z ) ) = X }.
% 1.27/1.68 (17849) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 1.27/1.68 , alpha2( X, Y, Z ) }.
% 1.27/1.68 (17850) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 1.27/1.68 Y ), alpha3( X, Y ) }.
% 1.27/1.68 (17851) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 1.27/1.68 cyclefreeP( X ) }.
% 1.27/1.68 (17852) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 1.27/1.68 cyclefreeP( X ) }.
% 1.27/1.68 (17853) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17854) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 1.27/1.68 (17855) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17856) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha28( X, Y, Z, T ) }.
% 1.27/1.68 (17857) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17858) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 1.27/1.68 alpha21( X, Y, Z ) }.
% 1.27/1.68 (17859) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha35( X, Y, Z, T, U ) }.
% 1.27/1.68 (17860) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17861) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 1.27/1.68 ), alpha28( X, Y, Z, T ) }.
% 1.27/1.68 (17862) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha41( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17863) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha35( X, Y, Z, T, U ) }.
% 1.27/1.68 (17864) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 1.27/1.68 (17865) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 1.27/1.68 (17866) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha41( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17867) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 1.27/1.68 W ) }.
% 1.27/1.68 (17868) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 1.27/1.68 X ) }.
% 1.27/1.68 (17869) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 1.27/1.68 (17870) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 1.27/1.68 (17871) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 1.27/1.68 ( Y ), alpha4( X, Y ) }.
% 1.27/1.68 (17872) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 1.27/1.68 totalorderP( X ) }.
% 1.27/1.68 (17873) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 1.27/1.68 totalorderP( X ) }.
% 1.27/1.68 (17874) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17875) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 1.27/1.68 (17876) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17877) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha29( X, Y, Z, T ) }.
% 1.27/1.68 (17878) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17879) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 1.27/1.68 alpha22( X, Y, Z ) }.
% 1.27/1.68 (17880) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha36( X, Y, Z, T, U ) }.
% 1.27/1.68 (17881) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17882) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 1.27/1.68 ), alpha29( X, Y, Z, T ) }.
% 1.27/1.68 (17883) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha42( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17884) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha36( X, Y, Z, T, U ) }.
% 1.27/1.68 (17885) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 1.27/1.68 (17886) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 1.27/1.68 (17887) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha42( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17888) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 1.27/1.68 W ) }.
% 1.27/1.68 (17889) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 1.27/1.68 }.
% 1.27/1.68 (17890) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 1.27/1.68 (17891) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 1.27/1.68 (17892) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 1.27/1.68 ( Y ), alpha5( X, Y ) }.
% 1.27/1.68 (17893) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 1.27/1.68 strictorderP( X ) }.
% 1.27/1.68 (17894) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 1.27/1.68 strictorderP( X ) }.
% 1.27/1.68 (17895) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17896) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 1.27/1.68 (17897) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17898) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha30( X, Y, Z, T ) }.
% 1.27/1.68 (17899) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17900) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 1.27/1.68 alpha23( X, Y, Z ) }.
% 1.27/1.68 (17901) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha37( X, Y, Z, T, U ) }.
% 1.27/1.68 (17902) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17903) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 1.27/1.68 ), alpha30( X, Y, Z, T ) }.
% 1.27/1.68 (17904) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha43( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17905) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha37( X, Y, Z, T, U ) }.
% 1.27/1.68 (17906) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 1.27/1.68 (17907) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 1.27/1.68 (17908) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha43( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17909) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 1.27/1.68 W ) }.
% 1.27/1.68 (17910) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 1.27/1.68 }.
% 1.27/1.68 (17911) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 1.27/1.68 (17912) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 1.27/1.68 (17913) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 1.27/1.68 ssItem( Y ), alpha6( X, Y ) }.
% 1.27/1.68 (17914) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 1.27/1.68 totalorderedP( X ) }.
% 1.27/1.68 (17915) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 1.27/1.68 totalorderedP( X ) }.
% 1.27/1.68 (17916) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17917) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 1.27/1.68 (17918) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17919) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha24( X, Y, Z, T ) }.
% 1.27/1.68 (17920) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17921) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 1.27/1.68 alpha15( X, Y, Z ) }.
% 1.27/1.68 (17922) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha31( X, Y, Z, T, U ) }.
% 1.27/1.68 (17923) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17924) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 1.27/1.68 ), alpha24( X, Y, Z, T ) }.
% 1.27/1.68 (17925) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha38( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17926) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha31( X, Y, Z, T, U ) }.
% 1.27/1.68 (17927) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 1.27/1.68 (17928) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 1.27/1.68 (17929) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha38( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17930) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 1.27/1.68 }.
% 1.27/1.68 (17931) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 1.27/1.68 ssItem( Y ), alpha7( X, Y ) }.
% 1.27/1.68 (17932) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 1.27/1.68 strictorderedP( X ) }.
% 1.27/1.68 (17933) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 1.27/1.68 strictorderedP( X ) }.
% 1.27/1.68 (17934) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17935) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 1.27/1.68 (17936) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17937) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha25( X, Y, Z, T ) }.
% 1.27/1.68 (17938) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17939) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 1.27/1.68 alpha16( X, Y, Z ) }.
% 1.27/1.68 (17940) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha32( X, Y, Z, T, U ) }.
% 1.27/1.68 (17941) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17942) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 1.27/1.68 ), alpha25( X, Y, Z, T ) }.
% 1.27/1.68 (17943) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha39( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17944) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha32( X, Y, Z, T, U ) }.
% 1.27/1.68 (17945) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 1.27/1.68 (17946) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 1.27/1.68 (17947) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha39( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17948) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 1.27/1.68 }.
% 1.27/1.68 (17949) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 1.27/1.68 ssItem( Y ), alpha8( X, Y ) }.
% 1.27/1.68 (17950) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 1.27/1.68 duplicatefreeP( X ) }.
% 1.27/1.68 (17951) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 1.27/1.68 duplicatefreeP( X ) }.
% 1.27/1.68 (17952) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17953) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 1.27/1.68 (17954) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17955) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha26( X, Y, Z, T ) }.
% 1.27/1.68 (17956) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17957) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 1.27/1.68 alpha17( X, Y, Z ) }.
% 1.27/1.68 (17958) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha33( X, Y, Z, T, U ) }.
% 1.27/1.68 (17959) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17960) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 1.27/1.68 ), alpha26( X, Y, Z, T ) }.
% 1.27/1.68 (17961) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 1.27/1.68 alpha40( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17962) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 1.27/1.68 alpha33( X, Y, Z, T, U ) }.
% 1.27/1.68 (17963) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 1.27/1.68 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 1.27/1.68 (17964) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 1.27/1.68 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 1.27/1.68 (17965) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 1.27/1.68 = X, alpha40( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17966) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 1.27/1.68 (17967) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 1.27/1.68 ( Y ), alpha9( X, Y ) }.
% 1.27/1.68 (17968) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 1.27/1.68 equalelemsP( X ) }.
% 1.27/1.68 (17969) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 1.27/1.68 equalelemsP( X ) }.
% 1.27/1.68 (17970) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 1.27/1.68 , Y, Z ) }.
% 1.27/1.68 (17971) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 1.27/1.68 (17972) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17973) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 1.27/1.68 alpha27( X, Y, Z, T ) }.
% 1.27/1.68 (17974) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 1.27/1.68 Z ) }.
% 1.27/1.68 (17975) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 1.27/1.68 alpha18( X, Y, Z ) }.
% 1.27/1.68 (17976) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 1.27/1.68 alpha34( X, Y, Z, T, U ) }.
% 1.27/1.68 (17977) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 1.27/1.68 X, Y, Z, T ) }.
% 1.27/1.68 (17978) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 1.27/1.68 ), alpha27( X, Y, Z, T ) }.
% 1.27/1.68 (17979) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 1.27/1.68 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 1.27/1.68 (17980) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 1.27/1.68 alpha34( X, Y, Z, T, U ) }.
% 1.27/1.68 (17981) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 1.27/1.68 (17982) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 1.27/1.68 , ! X = Y }.
% 1.27/1.68 (17983) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 1.27/1.68 , Y ) }.
% 1.27/1.68 (17984) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 1.27/1.68 Y, X ) ) }.
% 1.27/1.68 (17985) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 1.27/1.68 (17986) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 1.27/1.68 = X }.
% 1.27/1.68 (17987) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.27/1.68 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 1.27/1.68 (17988) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.27/1.68 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 1.27/1.68 (17989) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 1.27/1.68 ) }.
% 1.27/1.68 (17990) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 1.27/1.68 ) }.
% 1.27/1.68 (17991) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 1.27/1.68 skol43( X ) ) = X }.
% 1.27/1.68 (17992) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 1.27/1.68 Y, X ) }.
% 1.27/1.68 (17993) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 1.27/1.68 }.
% 1.27/1.68 (17994) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 1.27/1.68 X ) ) = Y }.
% 1.27/1.68 (17995) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 1.27/1.68 }.
% 1.27/1.68 (17996) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 1.27/1.68 X ) ) = X }.
% 1.27/1.68 (17997) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 1.27/1.68 , Y ) ) }.
% 1.27/1.68 (17998) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 1.27/1.68 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 1.27/1.68 (17999) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 1.27/1.68 (18000) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.27/1.68 , ! leq( Y, X ), X = Y }.
% 1.27/1.68 (18001) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.27/1.68 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 1.27/1.68 (18002) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 1.27/1.68 (18003) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.27/1.68 , leq( Y, X ) }.
% 1.27/1.68 (18004) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 1.27/1.68 , geq( X, Y ) }.
% 1.27/1.68 (18005) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.27/1.68 , ! lt( Y, X ) }.
% 1.27/1.68 (18006) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.27/1.68 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.27/1.68 (18007) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.27/1.68 , lt( Y, X ) }.
% 1.27/1.68 (18008) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 1.27/1.68 , gt( X, Y ) }.
% 1.27/1.68 (18009) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 1.27/1.68 (18010) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.68 (18011) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.68 (18012) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 1.27/1.68 (18013) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 1.27/1.68 (18014) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 1.27/1.68 (18015) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 1.27/1.68 (18016) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 1.27/1.68 (18017) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 1.27/1.68 (18018) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 1.27/1.68 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 1.27/1.68 (18019) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 1.27/1.68 (18020) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 1.27/1.68 (18021) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 1.27/1.68 (18022) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 1.27/1.68 , T ) }.
% 1.27/1.68 (18023) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 1.27/1.68 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 1.27/1.68 cons( Y, T ) ) }.
% 1.27/1.68 (18024) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 1.27/1.68 (18025) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 1.27/1.68 X }.
% 1.27/1.68 (18026) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 1.27/1.68 ) }.
% 1.27/1.68 (18027) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 1.27/1.68 (18028) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 1.27/1.68 , Y ), ! rearsegP( Y, X ), X = Y }.
% 1.27/1.68 (18029) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 1.27/1.68 (18030) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 1.27/1.68 (18031) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 1.27/1.68 (18032) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 1.27/1.68 }.
% 1.27/1.68 (18033) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 1.27/1.68 }.
% 1.27/1.68 (18034) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 1.27/1.68 (18035) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 1.27/1.68 , Y ), ! segmentP( Y, X ), X = Y }.
% 1.27/1.68 (18036) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 1.27/1.68 (18037) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 1.27/1.68 }.
% 1.27/1.68 (18038) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 1.27/1.68 (18039) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 1.27/1.68 }.
% 1.27/1.68 (18040) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 1.27/1.68 }.
% 1.27/1.68 (18041) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 1.27/1.68 }.
% 1.27/1.68 (18042) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 1.27/1.68 (18043) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 1.27/1.68 }.
% 1.27/1.68 (18044) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 1.27/1.68 (18045) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 1.27/1.68 ) }.
% 1.27/1.68 (18046) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 1.27/1.68 (18047) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 1.27/1.68 ) }.
% 1.27/1.68 (18048) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 1.27/1.68 (18049) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.27/1.68 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 1.27/1.68 (18050) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.27/1.68 totalorderedP( cons( X, Y ) ) }.
% 1.27/1.68 (18051) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 1.27/1.68 , Y ), totalorderedP( cons( X, Y ) ) }.
% 1.27/1.68 (18052) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 1.27/1.68 (18053) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 1.27/1.68 (18054) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 1.27/1.68 }.
% 1.27/1.68 (18055) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 1.27/1.68 (18056) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 1.27/1.68 (18057) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 1.27/1.68 alpha19( X, Y ) }.
% 1.27/1.68 (18058) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 1.27/1.68 ) ) }.
% 1.27/1.68 (18059) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 1.27/1.68 (18060) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.27/1.68 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 1.27/1.68 (18061) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 1.27/1.68 strictorderedP( cons( X, Y ) ) }.
% 1.27/1.68 (18062) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 1.27/1.68 , Y ), strictorderedP( cons( X, Y ) ) }.
% 1.27/1.68 (18063) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 1.27/1.68 (18064) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 1.27/1.68 (18065) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 1.27/1.68 }.
% 1.27/1.68 (18066) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 1.27/1.68 (18067) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 1.27/1.68 (18068) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 1.27/1.68 alpha20( X, Y ) }.
% 1.27/1.68 (18069) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 1.27/1.68 ) ) }.
% 1.27/1.68 (18070) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 1.27/1.68 (18071) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 1.27/1.68 }.
% 1.27/1.68 (18072) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 1.27/1.68 (18073) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 1.27/1.68 ) }.
% 1.27/1.68 (18074) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 1.27/1.68 ) }.
% 1.27/1.68 (18075) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 1.27/1.68 ) }.
% 1.27/1.68 (18076) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 1.27/1.68 ) }.
% 1.27/1.68 (18077) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 1.27/1.68 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 1.27/1.68 (18078) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 1.27/1.68 X ) ) = X }.
% 1.27/1.68 (18079) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 1.27/1.68 (18080) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 1.27/1.68 (18081) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 1.27/1.68 = app( cons( Y, nil ), X ) }.
% 1.27/1.68 (18082) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 1.27/1.68 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 1.27/1.68 (18083) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.27/1.68 X, Y ), nil = Y }.
% 1.27/1.68 (18084) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 1.27/1.68 X, Y ), nil = X }.
% 1.27/1.68 (18085) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 1.27/1.68 nil = X, nil = app( X, Y ) }.
% 1.27/1.68 (18086) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 1.27/1.68 (18087) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 1.27/1.68 app( X, Y ) ) = hd( X ) }.
% 1.27/1.68 (18088) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 1.27/1.68 app( X, Y ) ) = app( tl( X ), Y ) }.
% 1.27/1.68 (18089) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 1.27/1.68 , ! geq( Y, X ), X = Y }.
% 1.27/1.68 (18090) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.27/1.68 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 1.27/1.68 (18091) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 1.27/1.68 (18092) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 1.27/1.68 (18093) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.27/1.68 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 1.27/1.68 (18094) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 1.27/1.68 , X = Y, lt( X, Y ) }.
% 1.27/1.68 (18095) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.27/1.68 , ! X = Y }.
% 1.27/1.68 (18096) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 1.27/1.68 , leq( X, Y ) }.
% 1.27/1.68 (18097) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 1.27/1.68 ( X, Y ), lt( X, Y ) }.
% 1.27/1.68 (18098) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 1.27/1.68 , ! gt( Y, X ) }.
% 1.27/1.68 (18099) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 1.27/1.68 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 1.27/1.68 (18100) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 1.27/1.68 (18101) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.27/1.68 (18102) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 1.27/1.68 (18103) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 1.27/1.68 (18104) {G0,W5,D3,L1,V0,M1} { app( skol51, skol51 ) = skol50 }.
% 1.27/1.68 (18105) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.27/1.68 (18106) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.27/1.68 (18107) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 1.27/1.68 (18108) {G0,W3,D2,L1,V0,M1} { memberP( skol49, skol52 ) }.
% 1.27/1.68 (18109) {G0,W3,D2,L1,V0,M1} { ! memberP( skol46, skol52 ) }.
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Total Proof:
% 1.27/1.68
% 1.27/1.68 subsumption: (186) {G0,W14,D3,L5,V3,M5} I { ! ssItem( X ), ! ssList( Y ), !
% 1.27/1.68 ssList( Z ), ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.68 parent0: (18010) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), !
% 1.27/1.68 ssList( Z ), ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.68 substitution0:
% 1.27/1.68 X := X
% 1.27/1.68 Y := Y
% 1.27/1.68 Z := Z
% 1.27/1.68 end
% 1.27/1.68 permutation0:
% 1.27/1.68 0 ==> 0
% 1.27/1.68 1 ==> 1
% 1.27/1.68 2 ==> 2
% 1.27/1.68 3 ==> 3
% 1.27/1.68 4 ==> 4
% 1.27/1.68 end
% 1.27/1.68
% 1.27/1.68 subsumption: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.27/1.68 parent0: (18101) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 1.27/1.68 substitution0:
% 1.27/1.68 end
% 1.27/1.68 permutation0:
% 1.27/1.68 0 ==> 0
% 1.27/1.68 end
% 1.27/1.68
% 1.27/1.68 *** allocated 1297440 integers for clauses
% 1.27/1.68 subsumption: (279) {G0,W5,D3,L1,V0,M1} I { app( skol51, skol51 ) ==> skol50
% 1.27/1.68 }.
% 1.27/1.68 parent0: (18104) {G0,W5,D3,L1,V0,M1} { app( skol51, skol51 ) = skol50 }.
% 1.27/1.68 substitution0:
% 1.27/1.68 end
% 1.27/1.68 permutation0:
% 1.27/1.68 0 ==> 0
% 1.27/1.68 end
% 1.27/1.68
% 1.27/1.68 eqswap: (19273) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.27/1.68 parent0[0]: (18105) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.27/1.69 parent0: (19273) {G0,W3,D2,L1,V0,M1} { skol51 = skol49 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 eqswap: (19622) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.27/1.69 parent0[0]: (18106) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.27/1.69 parent0: (19622) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 1.27/1.69 parent0: (18107) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 1.27/1.69 parent0: (18108) {G0,W3,D2,L1,V0,M1} { memberP( skol49, skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 1.27/1.69 parent0: (18109) {G0,W3,D2,L1,V0,M1} { ! memberP( skol46, skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 paramod: (20674) {G1,W5,D3,L1,V0,M1} { app( skol51, skol49 ) ==> skol50
% 1.27/1.69 }.
% 1.27/1.69 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.27/1.69 parent1[0; 3]: (279) {G0,W5,D3,L1,V0,M1} I { app( skol51, skol51 ) ==>
% 1.27/1.69 skol50 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 paramod: (20675) {G1,W5,D3,L1,V0,M1} { app( skol49, skol49 ) ==> skol50
% 1.27/1.69 }.
% 1.27/1.69 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol51 ==> skol49 }.
% 1.27/1.69 parent1[0; 2]: (20674) {G1,W5,D3,L1,V0,M1} { app( skol51, skol49 ) ==>
% 1.27/1.69 skol50 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 paramod: (20678) {G1,W5,D3,L1,V0,M1} { app( skol49, skol49 ) ==> skol46
% 1.27/1.69 }.
% 1.27/1.69 parent0[0]: (281) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 1.27/1.69 parent1[0; 4]: (20675) {G1,W5,D3,L1,V0,M1} { app( skol49, skol49 ) ==>
% 1.27/1.69 skol50 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (707) {G1,W5,D3,L1,V0,M1} S(279);d(280);d(281) { app( skol49,
% 1.27/1.69 skol49 ) ==> skol46 }.
% 1.27/1.69 parent0: (20678) {G1,W5,D3,L1,V0,M1} { app( skol49, skol49 ) ==> skol46
% 1.27/1.69 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (20680) {G1,W11,D3,L4,V1,M4} { ! ssItem( skol52 ), ! ssList(
% 1.27/1.69 skol49 ), ! ssList( X ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 parent0[3]: (186) {G0,W14,D3,L5,V3,M5} I { ! ssItem( X ), ! ssList( Y ), !
% 1.27/1.69 ssList( Z ), ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 1.27/1.69 parent1[0]: (283) {G0,W3,D2,L1,V0,M1} I { memberP( skol49, skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol52
% 1.27/1.69 Y := skol49
% 1.27/1.69 Z := X
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (20683) {G1,W9,D3,L3,V1,M3} { ! ssList( skol49 ), ! ssList( X
% 1.27/1.69 ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 parent0[0]: (20680) {G1,W11,D3,L4,V1,M4} { ! ssItem( skol52 ), ! ssList(
% 1.27/1.69 skol49 ), ! ssList( X ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 parent1[0]: (282) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (17774) {G1,W9,D3,L3,V1,M3} R(186,283);r(282) { ! ssList(
% 1.27/1.69 skol49 ), ! ssList( X ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 parent0: (20683) {G1,W9,D3,L3,V1,M3} { ! ssList( skol49 ), ! ssList( X ),
% 1.27/1.69 memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 2 ==> 2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 factor: (20686) {G1,W7,D3,L2,V0,M2} { ! ssList( skol49 ), memberP( app(
% 1.27/1.69 skol49, skol49 ), skol52 ) }.
% 1.27/1.69 parent0[0, 1]: (17774) {G1,W9,D3,L3,V1,M3} R(186,283);r(282) { ! ssList(
% 1.27/1.69 skol49 ), ! ssList( X ), memberP( app( skol49, X ), skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol49
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 paramod: (20687) {G2,W5,D2,L2,V0,M2} { memberP( skol46, skol52 ), ! ssList
% 1.27/1.69 ( skol49 ) }.
% 1.27/1.69 parent0[0]: (707) {G1,W5,D3,L1,V0,M1} S(279);d(280);d(281) { app( skol49,
% 1.27/1.69 skol49 ) ==> skol46 }.
% 1.27/1.69 parent1[1; 1]: (20686) {G1,W7,D3,L2,V0,M2} { ! ssList( skol49 ), memberP(
% 1.27/1.69 app( skol49, skol49 ), skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (20688) {G1,W3,D2,L1,V0,M1} { memberP( skol46, skol52 ) }.
% 1.27/1.69 parent0[1]: (20687) {G2,W5,D2,L2,V0,M2} { memberP( skol46, skol52 ), !
% 1.27/1.69 ssList( skol49 ) }.
% 1.27/1.69 parent1[0]: (276) {G0,W2,D2,L1,V0,M1} I { ssList( skol49 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (17813) {G2,W3,D2,L1,V0,M1} F(17774);d(707);r(276) { memberP(
% 1.27/1.69 skol46, skol52 ) }.
% 1.27/1.69 parent0: (20688) {G1,W3,D2,L1,V0,M1} { memberP( skol46, skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (20689) {G1,W0,D0,L0,V0,M0} { }.
% 1.27/1.69 parent0[0]: (284) {G0,W3,D2,L1,V0,M1} I { ! memberP( skol46, skol52 ) }.
% 1.27/1.69 parent1[0]: (17813) {G2,W3,D2,L1,V0,M1} F(17774);d(707);r(276) { memberP(
% 1.27/1.69 skol46, skol52 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (17822) {G3,W0,D0,L0,V0,M0} S(17813);r(284) { }.
% 1.27/1.69 parent0: (20689) {G1,W0,D0,L0,V0,M0} { }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 Proof check complete!
% 1.27/1.69
% 1.27/1.69 Memory use:
% 1.27/1.69
% 1.27/1.69 space for terms: 294360
% 1.27/1.69 space for clauses: 842346
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 clauses generated: 38816
% 1.27/1.69 clauses kept: 17823
% 1.27/1.69 clauses selected: 882
% 1.27/1.69 clauses deleted: 65
% 1.27/1.69 clauses inuse deleted: 55
% 1.27/1.69
% 1.27/1.69 subsentry: 51574
% 1.27/1.69 literals s-matched: 34314
% 1.27/1.69 literals matched: 30645
% 1.27/1.69 full subsumption: 18294
% 1.27/1.69
% 1.27/1.69 checksum: 1856392173
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Bliksem ended
%------------------------------------------------------------------------------