TSTP Solution File: SWC185+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC185+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:36 EDT 2022
% Result : Theorem 8.52s 8.89s
% Output : Refutation 8.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC185+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n016.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 : Sat Jun 11 22:54:12 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.12 { ssItem( skol1 ) }.
% 0.72/1.12 { ssItem( skol47 ) }.
% 0.72/1.12 { ! skol1 = skol47 }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), ssList( skol2( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! memberP( X, Y ), alpha1( X, Y, skol2( X,
% 0.72/1.12 Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! ssList( Z ), ! alpha1( X, Y, Z ), memberP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W ) ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3( X, Y, Z ) ) ) = X }.
% 0.72/1.12 { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X, alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! singletonP( X ), ssItem( skol4( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! singletonP( X ), cons( skol4( X ), nil ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, nil ) = X, singletonP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ssList( skol5( Z, T )
% 0.72/1.12 ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), app( Y, skol5( X, Y )
% 0.72/1.12 ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = X, frontsegP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ssList( skol6( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), app( skol6( X, Y ), Y )
% 0.72/1.12 = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = X, rearsegP
% 0.72/1.12 ( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ssList( skol7( Z, T ) )
% 0.72/1.12 }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), alpha2( X, Y, skol7( X
% 0.72/1.12 , Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! alpha2( X, Y, Z ),
% 0.72/1.12 segmentP( X, Y ) }.
% 0.72/1.12 { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W ) ) }.
% 0.72/1.12 { ! alpha2( X, Y, Z ), app( app( Z, Y ), skol8( X, Y, Z ) ) = X }.
% 0.72/1.12 { ! ssList( T ), ! app( app( Z, Y ), T ) = X, alpha2( X, Y, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! cyclefreeP( X ), ! ssItem( Y ), alpha3( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol9( Y ) ), cyclefreeP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha3( X, skol9( X ) ), cyclefreeP( X ) }.
% 0.72/1.12 { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 0.72/1.12 { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X, Y ) }.
% 0.72/1.12 { ! alpha21( X, Y, Z ), ! ssList( T ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol11( T, U, W ) ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ), alpha21( X, Y, Z ) }.
% 0.72/1.12 { ! alpha28( X, Y, Z, T ), ! ssList( U ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol12( U, W, V0, V1 ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T ) ), alpha28( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha35( X, Y, Z, T, U ), ! ssList( W ), alpha41( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol13( W, V0, V1, V2, V3 ) ), alpha35( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z, T, U ) ), alpha35( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha41( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha12( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha41( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y, X ) }.
% 0.72/1.12 { leq( X, Y ), alpha12( X, Y ) }.
% 0.72/1.12 { leq( Y, X ), alpha12( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! totalorderP( X ), ! ssItem( Y ), alpha4( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol14( Y ) ), totalorderP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha4( X, skol14( X ) ), totalorderP( X ) }.
% 0.72/1.12 { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 0.72/1.12 { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X, Y ) }.
% 0.72/1.12 { ! alpha22( X, Y, Z ), ! ssList( T ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol16( T, U, W ) ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ), alpha22( X, Y, Z ) }.
% 0.72/1.12 { ! alpha29( X, Y, Z, T ), ! ssList( U ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol17( U, W, V0, V1 ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T ) ), alpha29( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha36( X, Y, Z, T, U ), ! ssList( W ), alpha42( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol18( W, V0, V1, V2, V3 ) ), alpha36( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z, T, U ) ), alpha36( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha42( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha13( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha42( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X ) }.
% 0.72/1.12 { ! leq( X, Y ), alpha13( X, Y ) }.
% 0.72/1.12 { ! leq( Y, X ), alpha13( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! strictorderP( X ), ! ssItem( Y ), alpha5( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol19( Y ) ), strictorderP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha5( X, skol19( X ) ), strictorderP( X ) }.
% 0.72/1.12 { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 0.72/1.12 { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X, Y ) }.
% 0.72/1.12 { ! alpha23( X, Y, Z ), ! ssList( T ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol21( T, U, W ) ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ), alpha23( X, Y, Z ) }.
% 0.72/1.12 { ! alpha30( X, Y, Z, T ), ! ssList( U ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol22( U, W, V0, V1 ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T ) ), alpha30( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha37( X, Y, Z, T, U ), ! ssList( W ), alpha43( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol23( W, V0, V1, V2, V3 ) ), alpha37( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z, T, U ) ), alpha37( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha43( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, alpha14( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha43( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X ) }.
% 0.72/1.12 { ! lt( X, Y ), alpha14( X, Y ) }.
% 0.72/1.12 { ! lt( Y, X ), alpha14( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! totalorderedP( X ), ! ssItem( Y ), alpha6( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol24( Y ) ), totalorderedP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha6( X, skol24( X ) ), totalorderedP( X ) }.
% 0.72/1.12 { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 0.72/1.12 { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X, Y ) }.
% 0.72/1.12 { ! alpha15( X, Y, Z ), ! ssList( T ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol26( T, U, W ) ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ), alpha15( X, Y, Z ) }.
% 0.72/1.12 { ! alpha24( X, Y, Z, T ), ! ssList( U ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol27( U, W, V0, V1 ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T ) ), alpha24( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha31( X, Y, Z, T, U ), ! ssList( W ), alpha38( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol28( W, V0, V1, V2, V3 ) ), alpha31( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z, T, U ) ), alpha31( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha38( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, leq( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha38( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! strictorderedP( X ), ! ssItem( Y ), alpha7( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol29( Y ) ), strictorderedP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha7( X, skol29( X ) ), strictorderedP( X ) }.
% 0.72/1.12 { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 0.72/1.12 { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X, Y ) }.
% 0.72/1.12 { ! alpha16( X, Y, Z ), ! ssList( T ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol31( T, U, W ) ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ), alpha16( X, Y, Z ) }.
% 0.72/1.12 { ! alpha25( X, Y, Z, T ), ! ssList( U ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol32( U, W, V0, V1 ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T ) ), alpha25( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha32( X, Y, Z, T, U ), ! ssList( W ), alpha39( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol33( W, V0, V1, V2, V3 ) ), alpha32( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z, T, U ) ), alpha32( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha39( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, lt( Y, Z ) }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha39( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! duplicatefreeP( X ), ! ssItem( Y ), alpha8( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol34( Y ) ), duplicatefreeP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha8( X, skol34( X ) ), duplicatefreeP( X ) }.
% 0.72/1.12 { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 0.72/1.12 { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X, Y ) }.
% 0.72/1.12 { ! alpha17( X, Y, Z ), ! ssList( T ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol36( T, U, W ) ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ), alpha17( X, Y, Z ) }.
% 0.72/1.12 { ! alpha26( X, Y, Z, T ), ! ssList( U ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol37( U, W, V0, V1 ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T ) ), alpha26( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha33( X, Y, Z, T, U ), ! ssList( W ), alpha40( X, Y, Z, T, U, W ) }
% 0.72/1.12 .
% 0.72/1.12 { ssList( skol38( W, V0, V1, V2, V3 ) ), alpha33( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z, T, U ) ), alpha33( X, Y, Z, T
% 0.72/1.12 , U ) }.
% 0.72/1.12 { ! alpha40( X, Y, Z, T, U, W ), ! app( app( T, cons( Y, U ) ), cons( Z, W
% 0.72/1.12 ) ) = X, ! Y = Z }.
% 0.72/1.12 { app( app( T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha40( X, Y, Z, T, U,
% 0.72/1.12 W ) }.
% 0.72/1.12 { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! ssList( X ), ! equalelemsP( X ), ! ssItem( Y ), alpha9( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ssItem( skol39( Y ) ), equalelemsP( X ) }.
% 0.72/1.12 { ! ssList( X ), ! alpha9( X, skol39( X ) ), equalelemsP( X ) }.
% 0.72/1.12 { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 0.72/1.12 { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X, Y ) }.
% 0.72/1.12 { ! alpha18( X, Y, Z ), ! ssList( T ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ssList( skol41( T, U, W ) ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ), alpha18( X, Y, Z ) }.
% 0.72/1.12 { ! alpha27( X, Y, Z, T ), ! ssList( U ), alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ssList( skol42( U, W, V0, V1 ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T ) ), alpha27( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha34( X, Y, Z, T, U ), ! app( T, cons( Y, cons( Z, U ) ) ) = X, Y =
% 0.72/1.12 Z }.
% 0.72/1.12 { app( T, cons( Y, cons( Z, U ) ) ) = X, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! neq( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), X = Y, neq( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ssList( cons( Y, X ) ) }.
% 0.72/1.12 { ssList( nil ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.12 ) = cons( T, Y ), Z = T }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), ! ssItem( T ), ! cons( Z, X
% 0.72/1.12 ) = cons( T, Y ), Y = X }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( skol43( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( skol48( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, cons( skol48( X ), skol43( X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), ! nil = cons( Y, X ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( hd( X ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), hd( cons( Y, X ) ) = Y }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( tl( X ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), tl( cons( Y, X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ssList( app( X, Y ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssItem( Z ), cons( Z, app( Y, X ) ) = app
% 0.72/1.12 ( cons( Z, Y ), X ) }.
% 0.72/1.12 { ! ssList( X ), app( nil, X ) = X }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), ! leq( Y, X ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! leq( Y, Z )
% 0.72/1.12 , leq( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), leq( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), leq( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X ), geq( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! lt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! lt( X, Y ), ! lt( Y, Z ),
% 0.72/1.12 lt( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), lt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X ), gt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( app( Y, Z ), X )
% 0.72/1.12 , memberP( Y, X ), memberP( Z, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Y, X ), memberP(
% 0.72/1.12 app( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.12 app( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( cons( Y, Z ), X )
% 0.72/1.12 , X = Y, memberP( Z, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! X = Y, memberP( cons( Y, Z
% 0.72/1.12 ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! memberP( Z, X ), memberP(
% 0.72/1.12 cons( Y, Z ), X ) }.
% 0.72/1.12 { ! ssItem( X ), ! memberP( nil, X ) }.
% 0.72/1.12 { ! singletonP( nil ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ), !
% 0.72/1.12 frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! frontsegP( X, Y ), ! frontsegP( Y, X ), X
% 0.72/1.12 = Y }.
% 0.72/1.12 { ! ssList( X ), frontsegP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! frontsegP( X, Y ),
% 0.72/1.12 frontsegP( app( X, Z ), Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.12 cons( X, Z ), cons( Y, T ) ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! frontsegP(
% 0.72/1.12 cons( X, Z ), cons( Y, T ) ), frontsegP( Z, T ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z ), ! ssList( T ), ! X = Y, !
% 0.72/1.12 frontsegP( Z, T ), frontsegP( cons( X, Z ), cons( Y, T ) ) }.
% 0.72/1.12 { ! ssList( X ), frontsegP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! frontsegP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, frontsegP( nil, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), !
% 0.72/1.12 rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! rearsegP( X, Y ), ! rearsegP( Y, X ), X =
% 0.72/1.12 Y }.
% 0.72/1.12 { ! ssList( X ), rearsegP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! rearsegP( X, Y ), rearsegP
% 0.72/1.12 ( app( Z, X ), Y ) }.
% 0.72/1.12 { ! ssList( X ), rearsegP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! rearsegP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, rearsegP( nil, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! segmentP( X, Y ), !
% 0.72/1.12 segmentP( Y, Z ), segmentP( X, Z ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! segmentP( X, Y ), ! segmentP( Y, X ), X =
% 0.72/1.12 Y }.
% 0.72/1.12 { ! ssList( X ), segmentP( X, X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! ssList( T ), ! segmentP( X
% 0.72/1.12 , Y ), segmentP( app( app( Z, X ), T ), Y ) }.
% 0.72/1.12 { ! ssList( X ), segmentP( X, nil ) }.
% 0.72/1.12 { ! ssList( X ), ! segmentP( nil, X ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! nil = X, segmentP( nil, X ) }.
% 0.72/1.12 { ! ssItem( X ), cyclefreeP( cons( X, nil ) ) }.
% 0.72/1.12 { cyclefreeP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), totalorderP( cons( X, nil ) ) }.
% 0.72/1.12 { totalorderP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), strictorderP( cons( X, nil ) ) }.
% 0.72/1.12 { strictorderP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), totalorderedP( cons( X, nil ) ) }.
% 0.72/1.12 { totalorderedP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! totalorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.12 alpha10( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, totalorderedP( cons( X, Y ) ) }
% 0.72/1.12 .
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha10( X, Y ), totalorderedP( cons( X,
% 0.72/1.12 Y ) ) }.
% 0.72/1.12 { ! alpha10( X, Y ), ! nil = Y }.
% 0.72/1.12 { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 0.72/1.12 { nil = Y, ! alpha19( X, Y ), alpha10( X, Y ) }.
% 0.72/1.12 { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 0.72/1.12 { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 0.72/1.12 { ! totalorderedP( Y ), ! leq( X, hd( Y ) ), alpha19( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), strictorderedP( cons( X, nil ) ) }.
% 0.72/1.12 { strictorderedP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! strictorderedP( cons( X, Y ) ), nil = Y,
% 0.72/1.12 alpha11( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! nil = Y, strictorderedP( cons( X, Y ) ) }
% 0.72/1.12 .
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! alpha11( X, Y ), strictorderedP( cons( X
% 0.72/1.12 , Y ) ) }.
% 0.72/1.12 { ! alpha11( X, Y ), ! nil = Y }.
% 0.72/1.12 { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 0.72/1.12 { nil = Y, ! alpha20( X, Y ), alpha11( X, Y ) }.
% 0.72/1.12 { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 0.72/1.12 { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 0.72/1.12 { ! strictorderedP( Y ), ! lt( X, hd( Y ) ), alpha20( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), duplicatefreeP( cons( X, nil ) ) }.
% 0.72/1.12 { duplicatefreeP( nil ) }.
% 0.72/1.12 { ! ssItem( X ), equalelemsP( cons( X, nil ) ) }.
% 0.72/1.12 { equalelemsP( nil ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssItem( skol44( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, hd( X ) = skol44( X ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, ssList( skol45( Y ) ) }.
% 0.72/1.12 { ! ssList( X ), nil = X, tl( X ) = skol45( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = Y, nil = X, ! hd( Y ) = hd( X ), ! tl
% 0.72/1.12 ( Y ) = tl( X ), Y = X }.
% 0.72/1.12 { ! ssList( X ), nil = X, cons( hd( X ), tl( X ) ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Z, Y ) = app( X, Y )
% 0.72/1.12 , Z = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), ! app( Y, Z ) = app( Y, X )
% 0.72/1.12 , Z = X }.
% 0.72/1.12 { ! ssList( X ), ! ssItem( Y ), cons( Y, X ) = app( cons( Y, nil ), X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! ssList( Z ), app( app( X, Y ), Z ) = app
% 0.72/1.12 ( X, app( Y, Z ) ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = Y }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = app( X, Y ), nil = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), ! nil = Y, ! nil = X, nil = app( X, Y ) }.
% 0.72/1.12 { ! ssList( X ), app( X, nil ) = X }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, hd( app( X, Y ) ) = hd( X ) }.
% 0.72/1.12 { ! ssList( X ), ! ssList( Y ), nil = X, tl( app( X, Y ) ) = app( tl( X ),
% 0.72/1.12 Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y ), ! geq( Y, X ), X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! geq( X, Y ), ! geq( Y, Z )
% 0.72/1.12 , geq( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), geq( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! lt( X, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! leq( X, Y ), ! lt( Y, Z )
% 0.72/1.12 , lt( X, Z ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y ), X = Y, lt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), ! X = Y }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y ), leq( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq( X, Y ), lt( X, Y ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y ), ! gt( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z ), ! gt( X, Y ), ! gt( Y, Z ),
% 0.72/1.12 gt( X, Z ) }.
% 0.72/1.12 { ssList( skol46 ) }.
% 0.72/1.12 { ssList( skol49 ) }.
% 0.72/1.12 { ssList( skol50 ) }.
% 0.72/1.12 { ssList( skol51 ) }.
% 0.72/1.12 { skol49 = skol51 }.
% 0.72/1.12 { skol46 = skol50 }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! app( app( Y, cons( X, nil
% 0.72/1.12 ) ), Z ) = skol50, ! memberP( Y, X ) }.
% 0.72/1.12 { ! ssItem( X ), ! ssList( Y ), ! ssList( Z ), ! app( app( Y, cons( X, nil
% 0.72/1.12 ) ), Z ) = skol50, ! memberP( Z, X ) }.
% 0.72/1.12 { ssItem( skol52 ) }.
% 0.72/1.12 { ssList( skol53 ) }.
% 0.72/1.12 { ssList( skol54 ) }.
% 0.72/1.12 { app( app( skol53, cons( skol52, nil ) ), skol54 ) = skol46 }.
% 0.72/1.12 { memberP( skol53, skol52 ), memberP( skol54, skol52 ) }.
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for clauses
% 0.72/1.12 percentage equality = 0.129260, percentage horn = 0.760417
% 0.72/1.12 This is a problem with some equality
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Options Used:
% 0.72/1.12
% 0.72/1.12 useres = 1
% 0.72/1.12 useparamod = 1
% 0.72/1.12 useeqrefl = 1
% 0.72/1.12 useeqfact = 1
% 0.72/1.12 usefactor = 1
% 0.72/1.12 usesimpsplitting = 0
% 0.72/1.12 usesimpdemod = 5
% 0.72/1.12 usesimpres = 3
% 0.72/1.12
% 0.72/1.12 resimpinuse = 1000
% 0.72/1.12 resimpclauses = 20000
% 0.72/1.12 substype = eqrewr
% 0.72/1.12 backwardsubs = 1
% 0.72/1.12 selectoldest = 5
% 0.72/1.12
% 0.72/1.12 litorderings [0] = split
% 0.72/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.12
% 0.72/1.12 termordering = kbo
% 0.72/1.12
% 0.72/1.12 litapriori = 0
% 0.72/1.12 termapriori = 1
% 0.72/1.12 litaposteriori = 0
% 0.72/1.12 termaposteriori = 0
% 0.72/1.12 demodaposteriori = 0
% 0.72/1.12 ordereqreflfact = 0
% 0.72/1.12
% 0.72/1.12 litselect = negord
% 0.72/1.12
% 0.72/1.12 maxweight = 15
% 0.72/1.12 maxdepth = 30000
% 0.72/1.12 maxlength = 115
% 0.72/1.12 maxnrvars = 195
% 0.72/1.12 excuselevel = 1
% 0.72/1.12 increasemaxweight = 1
% 0.72/1.12
% 0.72/1.12 maxselected = 10000000
% 0.72/1.12 maxnrclauses = 10000000
% 0.72/1.12
% 0.72/1.12 showgenerated = 0
% 0.72/1.12 showkept = 0
% 0.72/1.12 showselected = 0
% 0.72/1.12 showdeleted = 0
% 0.72/1.12 showresimp = 1
% 0.72/1.12 showstatus = 2000
% 0.72/1.12
% 0.72/1.12 prologoutput = 0
% 0.72/1.12 nrgoals = 5000000
% 0.72/1.12 totalproof = 1
% 0.72/1.12
% 0.72/1.12 Symbols occurring in the translation:
% 0.72/1.12
% 0.72/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.12 . [1, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.12 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 0.72/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.12 ssItem [36, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.72/1.12 neq [38, 2] (w:1, o:82, a:1, s:1, b:0),
% 0.72/1.12 ssList [39, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.72/1.12 memberP [40, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.72/1.12 cons [43, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.72/1.12 app [44, 2] (w:1, o:84, a:1, s:1, b:0),
% 0.72/1.65 singletonP [45, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.65 nil [46, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.72/1.65 frontsegP [47, 2] (w:1, o:85, a:1, s:1, b:0),
% 0.72/1.65 rearsegP [48, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.72/1.65 segmentP [49, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.72/1.65 cyclefreeP [50, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.72/1.65 leq [53, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.72/1.65 totalorderP [54, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.65 strictorderP [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.72/1.65 lt [56, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.72/1.65 totalorderedP [57, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.65 strictorderedP [58, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.72/1.65 duplicatefreeP [59, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.65 equalelemsP [60, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.65 hd [61, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.65 tl [62, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.65 geq [63, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.72/1.65 gt [64, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.72/1.65 alpha1 [69, 3] (w:1, o:115, a:1, s:1, b:1),
% 0.72/1.65 alpha2 [70, 3] (w:1, o:120, a:1, s:1, b:1),
% 0.72/1.65 alpha3 [71, 2] (w:1, o:91, a:1, s:1, b:1),
% 0.72/1.65 alpha4 [72, 2] (w:1, o:92, a:1, s:1, b:1),
% 0.72/1.65 alpha5 [73, 2] (w:1, o:93, a:1, s:1, b:1),
% 0.72/1.65 alpha6 [74, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.72/1.65 alpha7 [75, 2] (w:1, o:95, a:1, s:1, b:1),
% 0.72/1.65 alpha8 [76, 2] (w:1, o:96, a:1, s:1, b:1),
% 0.72/1.65 alpha9 [77, 2] (w:1, o:97, a:1, s:1, b:1),
% 0.72/1.65 alpha10 [78, 2] (w:1, o:98, a:1, s:1, b:1),
% 0.72/1.65 alpha11 [79, 2] (w:1, o:99, a:1, s:1, b:1),
% 0.72/1.65 alpha12 [80, 2] (w:1, o:100, a:1, s:1, b:1),
% 0.72/1.65 alpha13 [81, 2] (w:1, o:101, a:1, s:1, b:1),
% 0.72/1.65 alpha14 [82, 2] (w:1, o:102, a:1, s:1, b:1),
% 0.72/1.65 alpha15 [83, 3] (w:1, o:116, a:1, s:1, b:1),
% 0.72/1.65 alpha16 [84, 3] (w:1, o:117, a:1, s:1, b:1),
% 0.72/1.65 alpha17 [85, 3] (w:1, o:118, a:1, s:1, b:1),
% 0.72/1.65 alpha18 [86, 3] (w:1, o:119, a:1, s:1, b:1),
% 0.72/1.65 alpha19 [87, 2] (w:1, o:103, a:1, s:1, b:1),
% 0.72/1.65 alpha20 [88, 2] (w:1, o:90, a:1, s:1, b:1),
% 0.72/1.65 alpha21 [89, 3] (w:1, o:121, a:1, s:1, b:1),
% 0.72/1.65 alpha22 [90, 3] (w:1, o:122, a:1, s:1, b:1),
% 0.72/1.65 alpha23 [91, 3] (w:1, o:123, a:1, s:1, b:1),
% 0.72/1.65 alpha24 [92, 4] (w:1, o:133, a:1, s:1, b:1),
% 0.72/1.65 alpha25 [93, 4] (w:1, o:134, a:1, s:1, b:1),
% 0.72/1.65 alpha26 [94, 4] (w:1, o:135, a:1, s:1, b:1),
% 0.72/1.65 alpha27 [95, 4] (w:1, o:136, a:1, s:1, b:1),
% 0.72/1.65 alpha28 [96, 4] (w:1, o:137, a:1, s:1, b:1),
% 0.72/1.65 alpha29 [97, 4] (w:1, o:138, a:1, s:1, b:1),
% 0.72/1.65 alpha30 [98, 4] (w:1, o:139, a:1, s:1, b:1),
% 0.72/1.65 alpha31 [99, 5] (w:1, o:147, a:1, s:1, b:1),
% 0.72/1.65 alpha32 [100, 5] (w:1, o:148, a:1, s:1, b:1),
% 0.72/1.65 alpha33 [101, 5] (w:1, o:149, a:1, s:1, b:1),
% 0.72/1.65 alpha34 [102, 5] (w:1, o:150, a:1, s:1, b:1),
% 0.72/1.65 alpha35 [103, 5] (w:1, o:151, a:1, s:1, b:1),
% 0.72/1.65 alpha36 [104, 5] (w:1, o:152, a:1, s:1, b:1),
% 0.72/1.65 alpha37 [105, 5] (w:1, o:153, a:1, s:1, b:1),
% 0.72/1.65 alpha38 [106, 6] (w:1, o:160, a:1, s:1, b:1),
% 0.72/1.65 alpha39 [107, 6] (w:1, o:161, a:1, s:1, b:1),
% 0.72/1.65 alpha40 [108, 6] (w:1, o:162, a:1, s:1, b:1),
% 0.72/1.65 alpha41 [109, 6] (w:1, o:163, a:1, s:1, b:1),
% 0.72/1.65 alpha42 [110, 6] (w:1, o:164, a:1, s:1, b:1),
% 0.72/1.65 alpha43 [111, 6] (w:1, o:165, a:1, s:1, b:1),
% 0.72/1.65 skol1 [112, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.72/1.65 skol2 [113, 2] (w:1, o:106, a:1, s:1, b:1),
% 0.72/1.65 skol3 [114, 3] (w:1, o:126, a:1, s:1, b:1),
% 0.72/1.65 skol4 [115, 1] (w:1, o:39, a:1, s:1, b:1),
% 0.72/1.65 skol5 [116, 2] (w:1, o:108, a:1, s:1, b:1),
% 0.72/1.65 skol6 [117, 2] (w:1, o:109, a:1, s:1, b:1),
% 0.72/1.65 skol7 [118, 2] (w:1, o:110, a:1, s:1, b:1),
% 0.72/1.65 skol8 [119, 3] (w:1, o:127, a:1, s:1, b:1),
% 0.72/1.65 skol9 [120, 1] (w:1, o:40, a:1, s:1, b:1),
% 0.72/1.65 skol10 [121, 2] (w:1, o:104, a:1, s:1, b:1),
% 0.72/1.65 skol11 [122, 3] (w:1, o:128, a:1, s:1, b:1),
% 0.72/1.65 skol12 [123, 4] (w:1, o:140, a:1, s:1, b:1),
% 0.72/1.65 skol13 [124, 5] (w:1, o:154, a:1, s:1, b:1),
% 0.72/1.65 skol14 [125, 1] (w:1, o:41, a:1, s:1, b:1),
% 0.72/1.65 skol15 [126, 2] (w:1, o:105, a:1, s:1, b:1),
% 0.72/1.65 skol16 [127, 3] (w:1, o:129, a:1, s:1, b:1),
% 0.72/1.65 skol17 [128, 4] (w:1, o:141, a:1, s:1, b:1),
% 0.72/1.65 skol18 [129, 5] (w:1, o:155, a:1, s:1, b:1),
% 0.72/1.65 skol19 [130, 1] (w:1, o:42, a:1, s:1, b:1),
% 8.52/8.89 skol20 [131, 2] (w:1, o:111, a:1, s:1, b:1),
% 8.52/8.89 skol21 [132, 3] (w:1, o:124, a:1, s:1, b:1),
% 8.52/8.89 skol22 [133, 4] (w:1, o:142, a:1, s:1, b:1),
% 8.52/8.89 skol23 [134, 5] (w:1, o:156, a:1, s:1, b:1),
% 8.52/8.89 skol24 [135, 1] (w:1, o:43, a:1, s:1, b:1),
% 8.52/8.89 skol25 [136, 2] (w:1, o:112, a:1, s:1, b:1),
% 8.52/8.89 skol26 [137, 3] (w:1, o:125, a:1, s:1, b:1),
% 8.52/8.89 skol27 [138, 4] (w:1, o:143, a:1, s:1, b:1),
% 8.52/8.89 skol28 [139, 5] (w:1, o:157, a:1, s:1, b:1),
% 8.52/8.89 skol29 [140, 1] (w:1, o:44, a:1, s:1, b:1),
% 8.52/8.89 skol30 [141, 2] (w:1, o:113, a:1, s:1, b:1),
% 8.52/8.89 skol31 [142, 3] (w:1, o:130, a:1, s:1, b:1),
% 8.52/8.89 skol32 [143, 4] (w:1, o:144, a:1, s:1, b:1),
% 8.52/8.89 skol33 [144, 5] (w:1, o:158, a:1, s:1, b:1),
% 8.52/8.89 skol34 [145, 1] (w:1, o:37, a:1, s:1, b:1),
% 8.52/8.89 skol35 [146, 2] (w:1, o:114, a:1, s:1, b:1),
% 8.52/8.89 skol36 [147, 3] (w:1, o:131, a:1, s:1, b:1),
% 8.52/8.89 skol37 [148, 4] (w:1, o:145, a:1, s:1, b:1),
% 8.52/8.89 skol38 [149, 5] (w:1, o:159, a:1, s:1, b:1),
% 8.52/8.89 skol39 [150, 1] (w:1, o:38, a:1, s:1, b:1),
% 8.52/8.89 skol40 [151, 2] (w:1, o:107, a:1, s:1, b:1),
% 8.52/8.89 skol41 [152, 3] (w:1, o:132, a:1, s:1, b:1),
% 8.52/8.89 skol42 [153, 4] (w:1, o:146, a:1, s:1, b:1),
% 8.52/8.89 skol43 [154, 1] (w:1, o:45, a:1, s:1, b:1),
% 8.52/8.89 skol44 [155, 1] (w:1, o:46, a:1, s:1, b:1),
% 8.52/8.89 skol45 [156, 1] (w:1, o:47, a:1, s:1, b:1),
% 8.52/8.89 skol46 [157, 0] (w:1, o:18, a:1, s:1, b:1),
% 8.52/8.89 skol47 [158, 0] (w:1, o:19, a:1, s:1, b:1),
% 8.52/8.89 skol48 [159, 1] (w:1, o:48, a:1, s:1, b:1),
% 8.52/8.89 skol49 [160, 0] (w:1, o:20, a:1, s:1, b:1),
% 8.52/8.89 skol50 [161, 0] (w:1, o:21, a:1, s:1, b:1),
% 8.52/8.89 skol51 [162, 0] (w:1, o:22, a:1, s:1, b:1),
% 8.52/8.89 skol52 [163, 0] (w:1, o:23, a:1, s:1, b:1),
% 8.52/8.89 skol53 [164, 0] (w:1, o:24, a:1, s:1, b:1),
% 8.52/8.89 skol54 [165, 0] (w:1, o:25, a:1, s:1, b:1).
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Starting Search:
% 8.52/8.89
% 8.52/8.89 *** allocated 22500 integers for clauses
% 8.52/8.89 *** allocated 33750 integers for clauses
% 8.52/8.89 *** allocated 50625 integers for clauses
% 8.52/8.89 *** allocated 22500 integers for termspace/termends
% 8.52/8.89 *** allocated 75937 integers for clauses
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 33750 integers for termspace/termends
% 8.52/8.89 *** allocated 113905 integers for clauses
% 8.52/8.89 *** allocated 50625 integers for termspace/termends
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 3667
% 8.52/8.89 Kept: 2039
% 8.52/8.89 Inuse: 226
% 8.52/8.89 Deleted: 5
% 8.52/8.89 Deletedinuse: 0
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 170857 integers for clauses
% 8.52/8.89 *** allocated 75937 integers for termspace/termends
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 256285 integers for clauses
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 6963
% 8.52/8.89 Kept: 4083
% 8.52/8.89 Inuse: 382
% 8.52/8.89 Deleted: 9
% 8.52/8.89 Deletedinuse: 4
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 113905 integers for termspace/termends
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 384427 integers for clauses
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 10977
% 8.52/8.89 Kept: 6104
% 8.52/8.89 Inuse: 492
% 8.52/8.89 Deleted: 9
% 8.52/8.89 Deletedinuse: 4
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 170857 integers for termspace/termends
% 8.52/8.89 *** allocated 576640 integers for clauses
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 14346
% 8.52/8.89 Kept: 8141
% 8.52/8.89 Inuse: 592
% 8.52/8.89 Deleted: 9
% 8.52/8.89 Deletedinuse: 4
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 256285 integers for termspace/termends
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 19033
% 8.52/8.89 Kept: 11171
% 8.52/8.89 Inuse: 676
% 8.52/8.89 Deleted: 9
% 8.52/8.89 Deletedinuse: 4
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 864960 integers for clauses
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 24177
% 8.52/8.89 Kept: 13319
% 8.52/8.89 Inuse: 746
% 8.52/8.89 Deleted: 9
% 8.52/8.89 Deletedinuse: 4
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 31134
% 8.52/8.89 Kept: 15335
% 8.52/8.89 Inuse: 776
% 8.52/8.89 Deleted: 13
% 8.52/8.89 Deletedinuse: 8
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 384427 integers for termspace/termends
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 38605
% 8.52/8.89 Kept: 17357
% 8.52/8.89 Inuse: 818
% 8.52/8.89 Deleted: 47
% 8.52/8.89 Deletedinuse: 40
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 1297440 integers for clauses
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 45201
% 8.52/8.89 Kept: 19367
% 8.52/8.89 Inuse: 877
% 8.52/8.89 Deleted: 53
% 8.52/8.89 Deletedinuse: 46
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying clauses:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 54835
% 8.52/8.89 Kept: 21388
% 8.52/8.89 Inuse: 906
% 8.52/8.89 Deleted: 2620
% 8.52/8.89 Deletedinuse: 48
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 576640 integers for termspace/termends
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 64967
% 8.52/8.89 Kept: 23416
% 8.52/8.89 Inuse: 941
% 8.52/8.89 Deleted: 2621
% 8.52/8.89 Deletedinuse: 49
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 77113
% 8.52/8.89 Kept: 25776
% 8.52/8.89 Inuse: 971
% 8.52/8.89 Deleted: 2625
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 86189
% 8.52/8.89 Kept: 27792
% 8.52/8.89 Inuse: 996
% 8.52/8.89 Deleted: 2625
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 1946160 integers for clauses
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 94672
% 8.52/8.89 Kept: 29822
% 8.52/8.89 Inuse: 1026
% 8.52/8.89 Deleted: 2625
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 103898
% 8.52/8.89 Kept: 32319
% 8.52/8.89 Inuse: 1055
% 8.52/8.89 Deleted: 2626
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 *** allocated 864960 integers for termspace/termends
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 116461
% 8.52/8.89 Kept: 34713
% 8.52/8.89 Inuse: 1070
% 8.52/8.89 Deleted: 2626
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 124072
% 8.52/8.89 Kept: 36845
% 8.52/8.89 Inuse: 1090
% 8.52/8.89 Deleted: 2626
% 8.52/8.89 Deletedinuse: 53
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 138054
% 8.52/8.89 Kept: 39279
% 8.52/8.89 Inuse: 1125
% 8.52/8.89 Deleted: 2631
% 8.52/8.89 Deletedinuse: 58
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying clauses:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 144935
% 8.52/8.89 Kept: 41311
% 8.52/8.89 Inuse: 1159
% 8.52/8.89 Deleted: 4490
% 8.52/8.89 Deletedinuse: 58
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 152549
% 8.52/8.89 Kept: 43312
% 8.52/8.89 Inuse: 1196
% 8.52/8.89 Deleted: 4493
% 8.52/8.89 Deletedinuse: 58
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 160588
% 8.52/8.89 Kept: 45325
% 8.52/8.89 Inuse: 1232
% 8.52/8.89 Deleted: 4505
% 8.52/8.89 Deletedinuse: 68
% 8.52/8.89
% 8.52/8.89 *** allocated 2919240 integers for clauses
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 183384
% 8.52/8.89 Kept: 47331
% 8.52/8.89 Inuse: 1315
% 8.52/8.89 Deleted: 4540
% 8.52/8.89 Deletedinuse: 82
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 193614
% 8.52/8.89 Kept: 49331
% 8.52/8.89 Inuse: 1357
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 *** allocated 1297440 integers for termspace/termends
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 205114
% 8.52/8.89 Kept: 51808
% 8.52/8.89 Inuse: 1387
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 220367
% 8.52/8.89 Kept: 53880
% 8.52/8.89 Inuse: 1408
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 232806
% 8.52/8.89 Kept: 55959
% 8.52/8.89 Inuse: 1432
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 239134
% 8.52/8.89 Kept: 58011
% 8.52/8.89 Inuse: 1446
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Intermediate Status:
% 8.52/8.89 Generated: 246628
% 8.52/8.89 Kept: 61256
% 8.52/8.89 Inuse: 1457
% 8.52/8.89 Deleted: 4565
% 8.52/8.89 Deletedinuse: 85
% 8.52/8.89
% 8.52/8.89 Resimplifying inuse:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89 Resimplifying clauses:
% 8.52/8.89 Done
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Bliksems!, er is een bewijs:
% 8.52/8.89 % SZS status Theorem
% 8.52/8.89 % SZS output start Refutation
% 8.52/8.89
% 8.52/8.89 (255) {G0,W16,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 8.52/8.89 (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 8.52/8.89 (281) {G1,W18,D5,L5,V3,M5} I;d(280) { ! ssItem( X ), ! ssList( Y ), !
% 8.52/8.89 ssList( Z ), ! memberP( Y, X ), ! app( app( Y, cons( X, nil ) ), Z ) ==>
% 8.52/8.89 skol46 }.
% 8.52/8.89 (282) {G1,W18,D5,L5,V3,M5} I;d(280) { ! ssItem( X ), ! ssList( Y ), !
% 8.52/8.89 ssList( Z ), ! memberP( Z, X ), ! app( app( Y, cons( X, nil ) ), Z ) ==>
% 8.52/8.89 skol46 }.
% 8.52/8.89 (283) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 8.52/8.89 (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 8.52/8.89 (285) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 8.52/8.89 (286) {G0,W9,D5,L1,V0,M1} I { app( app( skol53, cons( skol52, nil ) ),
% 8.52/8.89 skol54 ) ==> skol46 }.
% 8.52/8.89 (287) {G0,W6,D2,L2,V0,M2} I { memberP( skol53, skol52 ), memberP( skol54,
% 8.52/8.89 skol52 ) }.
% 8.52/8.89 (33726) {G1,W17,D3,L5,V2,M5} P(255,287);r(285) { memberP( skol53, skol52 )
% 8.52/8.89 , memberP( X, skol52 ), ! ssList( X ), ! ssList( Y ), ! app( skol54, Y )
% 8.52/8.89 = app( X, Y ) }.
% 8.52/8.89 (41311) {G2,W7,D2,L3,V0,M3} R(286,282);r(283) { ! ssList( skol53 ), !
% 8.52/8.89 ssList( skol54 ), ! memberP( skol54, skol52 ) }.
% 8.52/8.89 (41312) {G2,W7,D2,L3,V0,M3} R(286,281);r(283) { ! ssList( skol53 ), !
% 8.52/8.89 ssList( skol54 ), ! memberP( skol53, skol52 ) }.
% 8.52/8.89 (61636) {G3,W3,D2,L1,V0,M1} S(41311);r(284);r(285) { ! memberP( skol54,
% 8.52/8.89 skol52 ) }.
% 8.52/8.89 (61637) {G3,W3,D2,L1,V0,M1} S(41312);r(284);r(285) { ! memberP( skol53,
% 8.52/8.89 skol52 ) }.
% 8.52/8.89 (61793) {G4,W14,D3,L4,V2,M4} S(33726);r(61637) { memberP( X, skol52 ), !
% 8.52/8.89 ssList( X ), ! ssList( Y ), ! app( skol54, Y ) = app( X, Y ) }.
% 8.52/8.89 (62238) {G5,W4,D2,L2,V1,M2} Q(61793);r(61636) { ! ssList( skol54 ), !
% 8.52/8.89 ssList( X ) }.
% 8.52/8.89 (62239) {G6,W0,D0,L0,V0,M0} F(62238);r(285) { }.
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 % SZS output end Refutation
% 8.52/8.89 found a proof!
% 8.52/8.89
% 8.52/8.89
% 8.52/8.89 Unprocessed initial clauses:
% 8.52/8.89
% 8.52/8.89 (62241) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! neq( X, Y )
% 8.52/8.89 , ! X = Y }.
% 8.52/8.89 (62242) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), X = Y, neq( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62243) {G0,W2,D2,L1,V0,M1} { ssItem( skol1 ) }.
% 8.52/8.89 (62244) {G0,W2,D2,L1,V0,M1} { ssItem( skol47 ) }.
% 8.52/8.89 (62245) {G0,W3,D2,L1,V0,M1} { ! skol1 = skol47 }.
% 8.52/8.89 (62246) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 8.52/8.89 , Y ), ssList( skol2( Z, T ) ) }.
% 8.52/8.89 (62247) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! memberP( X
% 8.52/8.89 , Y ), alpha1( X, Y, skol2( X, Y ) ) }.
% 8.52/8.89 (62248) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! alpha1( X, Y, Z ), memberP( X, Y ) }.
% 8.52/8.89 (62249) {G0,W9,D3,L2,V6,M2} { ! alpha1( X, Y, Z ), ssList( skol3( T, U, W
% 8.52/8.89 ) ) }.
% 8.52/8.89 (62250) {G0,W14,D5,L2,V3,M2} { ! alpha1( X, Y, Z ), app( Z, cons( Y, skol3
% 8.52/8.89 ( X, Y, Z ) ) ) = X }.
% 8.52/8.89 (62251) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( Z, cons( Y, T ) ) = X
% 8.52/8.89 , alpha1( X, Y, Z ) }.
% 8.52/8.89 (62252) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ! singletonP( X ), ssItem(
% 8.52/8.89 skol4( Y ) ) }.
% 8.52/8.89 (62253) {G0,W10,D4,L3,V1,M3} { ! ssList( X ), ! singletonP( X ), cons(
% 8.52/8.89 skol4( X ), nil ) = X }.
% 8.52/8.89 (62254) {G0,W11,D3,L4,V2,M4} { ! ssList( X ), ! ssItem( Y ), ! cons( Y,
% 8.52/8.89 nil ) = X, singletonP( X ) }.
% 8.52/8.89 (62255) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 8.52/8.89 X, Y ), ssList( skol5( Z, T ) ) }.
% 8.52/8.89 (62256) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 8.52/8.89 X, Y ), app( Y, skol5( X, Y ) ) = X }.
% 8.52/8.89 (62257) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( Y, Z ) = X, frontsegP( X, Y ) }.
% 8.52/8.89 (62258) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 8.52/8.89 , Y ), ssList( skol6( Z, T ) ) }.
% 8.52/8.89 (62259) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 8.52/8.89 , Y ), app( skol6( X, Y ), Y ) = X }.
% 8.52/8.89 (62260) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( Z, Y ) = X, rearsegP( X, Y ) }.
% 8.52/8.89 (62261) {G0,W11,D3,L4,V4,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 8.52/8.89 , Y ), ssList( skol7( Z, T ) ) }.
% 8.52/8.89 (62262) {G0,W13,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 8.52/8.89 , Y ), alpha2( X, Y, skol7( X, Y ) ) }.
% 8.52/8.89 (62263) {G0,W13,D2,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! alpha2( X, Y, Z ), segmentP( X, Y ) }.
% 8.52/8.89 (62264) {G0,W9,D3,L2,V6,M2} { ! alpha2( X, Y, Z ), ssList( skol8( T, U, W
% 8.52/8.89 ) ) }.
% 8.52/8.89 (62265) {G0,W14,D4,L2,V3,M2} { ! alpha2( X, Y, Z ), app( app( Z, Y ),
% 8.52/8.89 skol8( X, Y, Z ) ) = X }.
% 8.52/8.89 (62266) {G0,W13,D4,L3,V4,M3} { ! ssList( T ), ! app( app( Z, Y ), T ) = X
% 8.52/8.89 , alpha2( X, Y, Z ) }.
% 8.52/8.89 (62267) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! cyclefreeP( X ), ! ssItem(
% 8.52/8.89 Y ), alpha3( X, Y ) }.
% 8.52/8.89 (62268) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol9( Y ) ),
% 8.52/8.89 cyclefreeP( X ) }.
% 8.52/8.89 (62269) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha3( X, skol9( X ) ),
% 8.52/8.89 cyclefreeP( X ) }.
% 8.52/8.89 (62270) {G0,W9,D2,L3,V3,M3} { ! alpha3( X, Y ), ! ssItem( Z ), alpha21( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62271) {G0,W7,D3,L2,V4,M2} { ssItem( skol10( Z, T ) ), alpha3( X, Y ) }.
% 8.52/8.89 (62272) {G0,W9,D3,L2,V2,M2} { ! alpha21( X, Y, skol10( X, Y ) ), alpha3( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62273) {G0,W11,D2,L3,V4,M3} { ! alpha21( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha28( X, Y, Z, T ) }.
% 8.52/8.89 (62274) {G0,W9,D3,L2,V6,M2} { ssList( skol11( T, U, W ) ), alpha21( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62275) {G0,W12,D3,L2,V3,M2} { ! alpha28( X, Y, Z, skol11( X, Y, Z ) ),
% 8.52/8.89 alpha21( X, Y, Z ) }.
% 8.52/8.89 (62276) {G0,W13,D2,L3,V5,M3} { ! alpha28( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha35( X, Y, Z, T, U ) }.
% 8.52/8.89 (62277) {G0,W11,D3,L2,V8,M2} { ssList( skol12( U, W, V0, V1 ) ), alpha28(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62278) {G0,W15,D3,L2,V4,M2} { ! alpha35( X, Y, Z, T, skol12( X, Y, Z, T )
% 8.52/8.89 ), alpha28( X, Y, Z, T ) }.
% 8.52/8.89 (62279) {G0,W15,D2,L3,V6,M3} { ! alpha35( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha41( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62280) {G0,W13,D3,L2,V10,M2} { ssList( skol13( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha35( X, Y, Z, T, U ) }.
% 8.52/8.89 (62281) {G0,W18,D3,L2,V5,M2} { ! alpha41( X, Y, Z, T, U, skol13( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha35( X, Y, Z, T, U ) }.
% 8.52/8.89 (62282) {G0,W21,D5,L3,V6,M3} { ! alpha41( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha12( Y, Z ) }.
% 8.52/8.89 (62283) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha41( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62284) {G0,W10,D2,L2,V6,M2} { ! alpha12( Y, Z ), alpha41( X, Y, Z, T, U,
% 8.52/8.89 W ) }.
% 8.52/8.89 (62285) {G0,W9,D2,L3,V2,M3} { ! alpha12( X, Y ), ! leq( X, Y ), ! leq( Y,
% 8.52/8.89 X ) }.
% 8.52/8.89 (62286) {G0,W6,D2,L2,V2,M2} { leq( X, Y ), alpha12( X, Y ) }.
% 8.52/8.89 (62287) {G0,W6,D2,L2,V2,M2} { leq( Y, X ), alpha12( X, Y ) }.
% 8.52/8.89 (62288) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderP( X ), ! ssItem
% 8.52/8.89 ( Y ), alpha4( X, Y ) }.
% 8.52/8.89 (62289) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol14( Y ) ),
% 8.52/8.89 totalorderP( X ) }.
% 8.52/8.89 (62290) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha4( X, skol14( X ) ),
% 8.52/8.89 totalorderP( X ) }.
% 8.52/8.89 (62291) {G0,W9,D2,L3,V3,M3} { ! alpha4( X, Y ), ! ssItem( Z ), alpha22( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62292) {G0,W7,D3,L2,V4,M2} { ssItem( skol15( Z, T ) ), alpha4( X, Y ) }.
% 8.52/8.89 (62293) {G0,W9,D3,L2,V2,M2} { ! alpha22( X, Y, skol15( X, Y ) ), alpha4( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62294) {G0,W11,D2,L3,V4,M3} { ! alpha22( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha29( X, Y, Z, T ) }.
% 8.52/8.89 (62295) {G0,W9,D3,L2,V6,M2} { ssList( skol16( T, U, W ) ), alpha22( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62296) {G0,W12,D3,L2,V3,M2} { ! alpha29( X, Y, Z, skol16( X, Y, Z ) ),
% 8.52/8.89 alpha22( X, Y, Z ) }.
% 8.52/8.89 (62297) {G0,W13,D2,L3,V5,M3} { ! alpha29( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha36( X, Y, Z, T, U ) }.
% 8.52/8.89 (62298) {G0,W11,D3,L2,V8,M2} { ssList( skol17( U, W, V0, V1 ) ), alpha29(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62299) {G0,W15,D3,L2,V4,M2} { ! alpha36( X, Y, Z, T, skol17( X, Y, Z, T )
% 8.52/8.89 ), alpha29( X, Y, Z, T ) }.
% 8.52/8.89 (62300) {G0,W15,D2,L3,V6,M3} { ! alpha36( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha42( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62301) {G0,W13,D3,L2,V10,M2} { ssList( skol18( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha36( X, Y, Z, T, U ) }.
% 8.52/8.89 (62302) {G0,W18,D3,L2,V5,M2} { ! alpha42( X, Y, Z, T, U, skol18( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha36( X, Y, Z, T, U ) }.
% 8.52/8.89 (62303) {G0,W21,D5,L3,V6,M3} { ! alpha42( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha13( Y, Z ) }.
% 8.52/8.89 (62304) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha42( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62305) {G0,W10,D2,L2,V6,M2} { ! alpha13( Y, Z ), alpha42( X, Y, Z, T, U,
% 8.52/8.89 W ) }.
% 8.52/8.89 (62306) {G0,W9,D2,L3,V2,M3} { ! alpha13( X, Y ), leq( X, Y ), leq( Y, X )
% 8.52/8.89 }.
% 8.52/8.89 (62307) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), alpha13( X, Y ) }.
% 8.52/8.89 (62308) {G0,W6,D2,L2,V2,M2} { ! leq( Y, X ), alpha13( X, Y ) }.
% 8.52/8.89 (62309) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderP( X ), ! ssItem
% 8.52/8.89 ( Y ), alpha5( X, Y ) }.
% 8.52/8.89 (62310) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol19( Y ) ),
% 8.52/8.89 strictorderP( X ) }.
% 8.52/8.89 (62311) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha5( X, skol19( X ) ),
% 8.52/8.89 strictorderP( X ) }.
% 8.52/8.89 (62312) {G0,W9,D2,L3,V3,M3} { ! alpha5( X, Y ), ! ssItem( Z ), alpha23( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62313) {G0,W7,D3,L2,V4,M2} { ssItem( skol20( Z, T ) ), alpha5( X, Y ) }.
% 8.52/8.89 (62314) {G0,W9,D3,L2,V2,M2} { ! alpha23( X, Y, skol20( X, Y ) ), alpha5( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62315) {G0,W11,D2,L3,V4,M3} { ! alpha23( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha30( X, Y, Z, T ) }.
% 8.52/8.89 (62316) {G0,W9,D3,L2,V6,M2} { ssList( skol21( T, U, W ) ), alpha23( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62317) {G0,W12,D3,L2,V3,M2} { ! alpha30( X, Y, Z, skol21( X, Y, Z ) ),
% 8.52/8.89 alpha23( X, Y, Z ) }.
% 8.52/8.89 (62318) {G0,W13,D2,L3,V5,M3} { ! alpha30( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha37( X, Y, Z, T, U ) }.
% 8.52/8.89 (62319) {G0,W11,D3,L2,V8,M2} { ssList( skol22( U, W, V0, V1 ) ), alpha30(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62320) {G0,W15,D3,L2,V4,M2} { ! alpha37( X, Y, Z, T, skol22( X, Y, Z, T )
% 8.52/8.89 ), alpha30( X, Y, Z, T ) }.
% 8.52/8.89 (62321) {G0,W15,D2,L3,V6,M3} { ! alpha37( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha43( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62322) {G0,W13,D3,L2,V10,M2} { ssList( skol23( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha37( X, Y, Z, T, U ) }.
% 8.52/8.89 (62323) {G0,W18,D3,L2,V5,M2} { ! alpha43( X, Y, Z, T, U, skol23( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha37( X, Y, Z, T, U ) }.
% 8.52/8.89 (62324) {G0,W21,D5,L3,V6,M3} { ! alpha43( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, alpha14( Y, Z ) }.
% 8.52/8.89 (62325) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha43( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62326) {G0,W10,D2,L2,V6,M2} { ! alpha14( Y, Z ), alpha43( X, Y, Z, T, U,
% 8.52/8.89 W ) }.
% 8.52/8.89 (62327) {G0,W9,D2,L3,V2,M3} { ! alpha14( X, Y ), lt( X, Y ), lt( Y, X )
% 8.52/8.89 }.
% 8.52/8.89 (62328) {G0,W6,D2,L2,V2,M2} { ! lt( X, Y ), alpha14( X, Y ) }.
% 8.52/8.89 (62329) {G0,W6,D2,L2,V2,M2} { ! lt( Y, X ), alpha14( X, Y ) }.
% 8.52/8.89 (62330) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! totalorderedP( X ), !
% 8.52/8.89 ssItem( Y ), alpha6( X, Y ) }.
% 8.52/8.89 (62331) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol24( Y ) ),
% 8.52/8.89 totalorderedP( X ) }.
% 8.52/8.89 (62332) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha6( X, skol24( X ) ),
% 8.52/8.89 totalorderedP( X ) }.
% 8.52/8.89 (62333) {G0,W9,D2,L3,V3,M3} { ! alpha6( X, Y ), ! ssItem( Z ), alpha15( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62334) {G0,W7,D3,L2,V4,M2} { ssItem( skol25( Z, T ) ), alpha6( X, Y ) }.
% 8.52/8.89 (62335) {G0,W9,D3,L2,V2,M2} { ! alpha15( X, Y, skol25( X, Y ) ), alpha6( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62336) {G0,W11,D2,L3,V4,M3} { ! alpha15( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha24( X, Y, Z, T ) }.
% 8.52/8.89 (62337) {G0,W9,D3,L2,V6,M2} { ssList( skol26( T, U, W ) ), alpha15( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62338) {G0,W12,D3,L2,V3,M2} { ! alpha24( X, Y, Z, skol26( X, Y, Z ) ),
% 8.52/8.89 alpha15( X, Y, Z ) }.
% 8.52/8.89 (62339) {G0,W13,D2,L3,V5,M3} { ! alpha24( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha31( X, Y, Z, T, U ) }.
% 8.52/8.89 (62340) {G0,W11,D3,L2,V8,M2} { ssList( skol27( U, W, V0, V1 ) ), alpha24(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62341) {G0,W15,D3,L2,V4,M2} { ! alpha31( X, Y, Z, T, skol27( X, Y, Z, T )
% 8.52/8.89 ), alpha24( X, Y, Z, T ) }.
% 8.52/8.89 (62342) {G0,W15,D2,L3,V6,M3} { ! alpha31( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha38( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62343) {G0,W13,D3,L2,V10,M2} { ssList( skol28( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha31( X, Y, Z, T, U ) }.
% 8.52/8.89 (62344) {G0,W18,D3,L2,V5,M2} { ! alpha38( X, Y, Z, T, U, skol28( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha31( X, Y, Z, T, U ) }.
% 8.52/8.89 (62345) {G0,W21,D5,L3,V6,M3} { ! alpha38( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, leq( Y, Z ) }.
% 8.52/8.89 (62346) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha38( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62347) {G0,W10,D2,L2,V6,M2} { ! leq( Y, Z ), alpha38( X, Y, Z, T, U, W )
% 8.52/8.89 }.
% 8.52/8.89 (62348) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! strictorderedP( X ), !
% 8.52/8.89 ssItem( Y ), alpha7( X, Y ) }.
% 8.52/8.89 (62349) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol29( Y ) ),
% 8.52/8.89 strictorderedP( X ) }.
% 8.52/8.89 (62350) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha7( X, skol29( X ) ),
% 8.52/8.89 strictorderedP( X ) }.
% 8.52/8.89 (62351) {G0,W9,D2,L3,V3,M3} { ! alpha7( X, Y ), ! ssItem( Z ), alpha16( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62352) {G0,W7,D3,L2,V4,M2} { ssItem( skol30( Z, T ) ), alpha7( X, Y ) }.
% 8.52/8.89 (62353) {G0,W9,D3,L2,V2,M2} { ! alpha16( X, Y, skol30( X, Y ) ), alpha7( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62354) {G0,W11,D2,L3,V4,M3} { ! alpha16( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha25( X, Y, Z, T ) }.
% 8.52/8.89 (62355) {G0,W9,D3,L2,V6,M2} { ssList( skol31( T, U, W ) ), alpha16( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62356) {G0,W12,D3,L2,V3,M2} { ! alpha25( X, Y, Z, skol31( X, Y, Z ) ),
% 8.52/8.89 alpha16( X, Y, Z ) }.
% 8.52/8.89 (62357) {G0,W13,D2,L3,V5,M3} { ! alpha25( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha32( X, Y, Z, T, U ) }.
% 8.52/8.89 (62358) {G0,W11,D3,L2,V8,M2} { ssList( skol32( U, W, V0, V1 ) ), alpha25(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62359) {G0,W15,D3,L2,V4,M2} { ! alpha32( X, Y, Z, T, skol32( X, Y, Z, T )
% 8.52/8.89 ), alpha25( X, Y, Z, T ) }.
% 8.52/8.89 (62360) {G0,W15,D2,L3,V6,M3} { ! alpha32( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha39( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62361) {G0,W13,D3,L2,V10,M2} { ssList( skol33( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha32( X, Y, Z, T, U ) }.
% 8.52/8.89 (62362) {G0,W18,D3,L2,V5,M2} { ! alpha39( X, Y, Z, T, U, skol33( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha32( X, Y, Z, T, U ) }.
% 8.52/8.89 (62363) {G0,W21,D5,L3,V6,M3} { ! alpha39( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, lt( Y, Z ) }.
% 8.52/8.89 (62364) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha39( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62365) {G0,W10,D2,L2,V6,M2} { ! lt( Y, Z ), alpha39( X, Y, Z, T, U, W )
% 8.52/8.89 }.
% 8.52/8.89 (62366) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! duplicatefreeP( X ), !
% 8.52/8.89 ssItem( Y ), alpha8( X, Y ) }.
% 8.52/8.89 (62367) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol34( Y ) ),
% 8.52/8.89 duplicatefreeP( X ) }.
% 8.52/8.89 (62368) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha8( X, skol34( X ) ),
% 8.52/8.89 duplicatefreeP( X ) }.
% 8.52/8.89 (62369) {G0,W9,D2,L3,V3,M3} { ! alpha8( X, Y ), ! ssItem( Z ), alpha17( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62370) {G0,W7,D3,L2,V4,M2} { ssItem( skol35( Z, T ) ), alpha8( X, Y ) }.
% 8.52/8.89 (62371) {G0,W9,D3,L2,V2,M2} { ! alpha17( X, Y, skol35( X, Y ) ), alpha8( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62372) {G0,W11,D2,L3,V4,M3} { ! alpha17( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha26( X, Y, Z, T ) }.
% 8.52/8.89 (62373) {G0,W9,D3,L2,V6,M2} { ssList( skol36( T, U, W ) ), alpha17( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62374) {G0,W12,D3,L2,V3,M2} { ! alpha26( X, Y, Z, skol36( X, Y, Z ) ),
% 8.52/8.89 alpha17( X, Y, Z ) }.
% 8.52/8.89 (62375) {G0,W13,D2,L3,V5,M3} { ! alpha26( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha33( X, Y, Z, T, U ) }.
% 8.52/8.89 (62376) {G0,W11,D3,L2,V8,M2} { ssList( skol37( U, W, V0, V1 ) ), alpha26(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62377) {G0,W15,D3,L2,V4,M2} { ! alpha33( X, Y, Z, T, skol37( X, Y, Z, T )
% 8.52/8.89 ), alpha26( X, Y, Z, T ) }.
% 8.52/8.89 (62378) {G0,W15,D2,L3,V6,M3} { ! alpha33( X, Y, Z, T, U ), ! ssList( W ),
% 8.52/8.89 alpha40( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62379) {G0,W13,D3,L2,V10,M2} { ssList( skol38( W, V0, V1, V2, V3 ) ),
% 8.52/8.89 alpha33( X, Y, Z, T, U ) }.
% 8.52/8.89 (62380) {G0,W18,D3,L2,V5,M2} { ! alpha40( X, Y, Z, T, U, skol38( X, Y, Z,
% 8.52/8.89 T, U ) ), alpha33( X, Y, Z, T, U ) }.
% 8.52/8.89 (62381) {G0,W21,D5,L3,V6,M3} { ! alpha40( X, Y, Z, T, U, W ), ! app( app(
% 8.52/8.89 T, cons( Y, U ) ), cons( Z, W ) ) = X, ! Y = Z }.
% 8.52/8.89 (62382) {G0,W18,D5,L2,V6,M2} { app( app( T, cons( Y, U ) ), cons( Z, W ) )
% 8.52/8.89 = X, alpha40( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62383) {G0,W10,D2,L2,V6,M2} { Y = Z, alpha40( X, Y, Z, T, U, W ) }.
% 8.52/8.89 (62384) {G0,W9,D2,L4,V2,M4} { ! ssList( X ), ! equalelemsP( X ), ! ssItem
% 8.52/8.89 ( Y ), alpha9( X, Y ) }.
% 8.52/8.89 (62385) {G0,W7,D3,L3,V2,M3} { ! ssList( X ), ssItem( skol39( Y ) ),
% 8.52/8.89 equalelemsP( X ) }.
% 8.52/8.89 (62386) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), ! alpha9( X, skol39( X ) ),
% 8.52/8.89 equalelemsP( X ) }.
% 8.52/8.89 (62387) {G0,W9,D2,L3,V3,M3} { ! alpha9( X, Y ), ! ssItem( Z ), alpha18( X
% 8.52/8.89 , Y, Z ) }.
% 8.52/8.89 (62388) {G0,W7,D3,L2,V4,M2} { ssItem( skol40( Z, T ) ), alpha9( X, Y ) }.
% 8.52/8.89 (62389) {G0,W9,D3,L2,V2,M2} { ! alpha18( X, Y, skol40( X, Y ) ), alpha9( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62390) {G0,W11,D2,L3,V4,M3} { ! alpha18( X, Y, Z ), ! ssList( T ),
% 8.52/8.89 alpha27( X, Y, Z, T ) }.
% 8.52/8.89 (62391) {G0,W9,D3,L2,V6,M2} { ssList( skol41( T, U, W ) ), alpha18( X, Y,
% 8.52/8.89 Z ) }.
% 8.52/8.89 (62392) {G0,W12,D3,L2,V3,M2} { ! alpha27( X, Y, Z, skol41( X, Y, Z ) ),
% 8.52/8.89 alpha18( X, Y, Z ) }.
% 8.52/8.89 (62393) {G0,W13,D2,L3,V5,M3} { ! alpha27( X, Y, Z, T ), ! ssList( U ),
% 8.52/8.89 alpha34( X, Y, Z, T, U ) }.
% 8.52/8.89 (62394) {G0,W11,D3,L2,V8,M2} { ssList( skol42( U, W, V0, V1 ) ), alpha27(
% 8.52/8.89 X, Y, Z, T ) }.
% 8.52/8.89 (62395) {G0,W15,D3,L2,V4,M2} { ! alpha34( X, Y, Z, T, skol42( X, Y, Z, T )
% 8.52/8.89 ), alpha27( X, Y, Z, T ) }.
% 8.52/8.89 (62396) {G0,W18,D5,L3,V5,M3} { ! alpha34( X, Y, Z, T, U ), ! app( T, cons
% 8.52/8.89 ( Y, cons( Z, U ) ) ) = X, Y = Z }.
% 8.52/8.89 (62397) {G0,W15,D5,L2,V5,M2} { app( T, cons( Y, cons( Z, U ) ) ) = X,
% 8.52/8.89 alpha34( X, Y, Z, T, U ) }.
% 8.52/8.89 (62398) {G0,W9,D2,L2,V5,M2} { ! Y = Z, alpha34( X, Y, Z, T, U ) }.
% 8.52/8.89 (62399) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! neq( X, Y )
% 8.52/8.89 , ! X = Y }.
% 8.52/8.89 (62400) {G0,W10,D2,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), X = Y, neq( X
% 8.52/8.89 , Y ) }.
% 8.52/8.89 (62401) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ssList( cons(
% 8.52/8.89 Y, X ) ) }.
% 8.52/8.89 (62402) {G0,W2,D2,L1,V0,M1} { ssList( nil ) }.
% 8.52/8.89 (62403) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! cons( Y, X )
% 8.52/8.89 = X }.
% 8.52/8.89 (62404) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 8.52/8.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Z = T }.
% 8.52/8.89 (62405) {G0,W18,D3,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 8.52/8.89 , ! ssItem( T ), ! cons( Z, X ) = cons( T, Y ), Y = X }.
% 8.52/8.89 (62406) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol43( Y )
% 8.52/8.89 ) }.
% 8.52/8.89 (62407) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol48( Y )
% 8.52/8.89 ) }.
% 8.52/8.89 (62408) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( skol48( X ),
% 8.52/8.89 skol43( X ) ) = X }.
% 8.52/8.89 (62409) {G0,W9,D3,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), ! nil = cons(
% 8.52/8.89 Y, X ) }.
% 8.52/8.89 (62410) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssItem( hd( X ) )
% 8.52/8.89 }.
% 8.52/8.89 (62411) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), hd( cons( Y,
% 8.52/8.89 X ) ) = Y }.
% 8.52/8.89 (62412) {G0,W8,D3,L3,V1,M3} { ! ssList( X ), nil = X, ssList( tl( X ) )
% 8.52/8.89 }.
% 8.52/8.89 (62413) {G0,W10,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), tl( cons( Y,
% 8.52/8.89 X ) ) = X }.
% 8.52/8.89 (62414) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), ! ssList( Y ), ssList( app( X
% 8.52/8.89 , Y ) ) }.
% 8.52/8.89 (62415) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssItem( Z )
% 8.52/8.89 , cons( Z, app( Y, X ) ) = app( cons( Z, Y ), X ) }.
% 8.52/8.89 (62416) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( nil, X ) = X }.
% 8.52/8.89 (62417) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 8.52/8.89 , ! leq( Y, X ), X = Y }.
% 8.52/8.89 (62418) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 8.52/8.89 , ! leq( X, Y ), ! leq( Y, Z ), leq( X, Z ) }.
% 8.52/8.89 (62419) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), leq( X, X ) }.
% 8.52/8.89 (62420) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 8.52/8.89 , leq( Y, X ) }.
% 8.52/8.89 (62421) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! leq( Y, X )
% 8.52/8.89 , geq( X, Y ) }.
% 8.52/8.89 (62422) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 8.52/8.89 , ! lt( Y, X ) }.
% 8.52/8.89 (62423) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 8.52/8.89 , ! lt( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 8.52/8.89 (62424) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 8.52/8.89 , lt( Y, X ) }.
% 8.52/8.89 (62425) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( Y, X )
% 8.52/8.89 , gt( X, Y ) }.
% 8.52/8.89 (62426) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! memberP( app( Y, Z ), X ), memberP( Y, X ), memberP( Z, X ) }.
% 8.52/8.89 (62427) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! memberP( Y, X ), memberP( app( Y, Z ), X ) }.
% 8.52/8.89 (62428) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! memberP( Z, X ), memberP( app( Y, Z ), X ) }.
% 8.52/8.89 (62429) {G0,W17,D3,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! memberP( cons( Y, Z ), X ), X = Y, memberP( Z, X ) }.
% 8.52/8.89 (62430) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! X = Y, memberP( cons( Y, Z ), X ) }.
% 8.52/8.89 (62431) {G0,W14,D3,L5,V3,M5} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! memberP( Z, X ), memberP( cons( Y, Z ), X ) }.
% 8.52/8.89 (62432) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! memberP( nil, X ) }.
% 8.52/8.89 (62433) {G0,W2,D2,L1,V0,M1} { ! singletonP( nil ) }.
% 8.52/8.89 (62434) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! frontsegP( X, Y ), ! frontsegP( Y, Z ), frontsegP( X, Z ) }.
% 8.52/8.89 (62435) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! frontsegP(
% 8.52/8.89 X, Y ), ! frontsegP( Y, X ), X = Y }.
% 8.52/8.89 (62436) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, X ) }.
% 8.52/8.89 (62437) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! frontsegP( X, Y ), frontsegP( app( X, Z ), Y ) }.
% 8.52/8.89 (62438) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), X = Y }.
% 8.52/8.89 (62439) {G0,W18,D3,L6,V4,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! ssList( T ), ! frontsegP( cons( X, Z ), cons( Y, T ) ), frontsegP( Z
% 8.52/8.89 , T ) }.
% 8.52/8.89 (62440) {G0,W21,D3,L7,V4,M7} { ! ssItem( X ), ! ssItem( Y ), ! ssList( Z )
% 8.52/8.89 , ! ssList( T ), ! X = Y, ! frontsegP( Z, T ), frontsegP( cons( X, Z ),
% 8.52/8.89 cons( Y, T ) ) }.
% 8.52/8.89 (62441) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), frontsegP( X, nil ) }.
% 8.52/8.89 (62442) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! frontsegP( nil, X ), nil =
% 8.52/8.89 X }.
% 8.52/8.89 (62443) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, frontsegP( nil, X
% 8.52/8.89 ) }.
% 8.52/8.89 (62444) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! rearsegP( X, Y ), ! rearsegP( Y, Z ), rearsegP( X, Z ) }.
% 8.52/8.89 (62445) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! rearsegP( X
% 8.52/8.89 , Y ), ! rearsegP( Y, X ), X = Y }.
% 8.52/8.89 (62446) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, X ) }.
% 8.52/8.89 (62447) {G0,W14,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! rearsegP( X, Y ), rearsegP( app( Z, X ), Y ) }.
% 8.52/8.89 (62448) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), rearsegP( X, nil ) }.
% 8.52/8.89 (62449) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! rearsegP( nil, X ), nil = X
% 8.52/8.89 }.
% 8.52/8.89 (62450) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, rearsegP( nil, X )
% 8.52/8.89 }.
% 8.52/8.89 (62451) {G0,W15,D2,L6,V3,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! segmentP( X, Y ), ! segmentP( Y, Z ), segmentP( X, Z ) }.
% 8.52/8.89 (62452) {G0,W13,D2,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! segmentP( X
% 8.52/8.89 , Y ), ! segmentP( Y, X ), X = Y }.
% 8.52/8.89 (62453) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, X ) }.
% 8.52/8.89 (62454) {G0,W18,D4,L6,V4,M6} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! ssList( T ), ! segmentP( X, Y ), segmentP( app( app( Z, X ), T ), Y )
% 8.52/8.89 }.
% 8.52/8.89 (62455) {G0,W5,D2,L2,V1,M2} { ! ssList( X ), segmentP( X, nil ) }.
% 8.52/8.89 (62456) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! segmentP( nil, X ), nil = X
% 8.52/8.89 }.
% 8.52/8.89 (62457) {G0,W8,D2,L3,V1,M3} { ! ssList( X ), ! nil = X, segmentP( nil, X )
% 8.52/8.89 }.
% 8.52/8.89 (62458) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), cyclefreeP( cons( X, nil ) )
% 8.52/8.89 }.
% 8.52/8.89 (62459) {G0,W2,D2,L1,V0,M1} { cyclefreeP( nil ) }.
% 8.52/8.89 (62460) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderP( cons( X, nil ) )
% 8.52/8.89 }.
% 8.52/8.89 (62461) {G0,W2,D2,L1,V0,M1} { totalorderP( nil ) }.
% 8.52/8.89 (62462) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderP( cons( X, nil )
% 8.52/8.89 ) }.
% 8.52/8.89 (62463) {G0,W2,D2,L1,V0,M1} { strictorderP( nil ) }.
% 8.52/8.89 (62464) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), totalorderedP( cons( X, nil )
% 8.52/8.89 ) }.
% 8.52/8.89 (62465) {G0,W2,D2,L1,V0,M1} { totalorderedP( nil ) }.
% 8.52/8.89 (62466) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 8.52/8.89 totalorderedP( cons( X, Y ) ), nil = Y, alpha10( X, Y ) }.
% 8.52/8.89 (62467) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 8.52/8.89 totalorderedP( cons( X, Y ) ) }.
% 8.52/8.89 (62468) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha10( X
% 8.52/8.89 , Y ), totalorderedP( cons( X, Y ) ) }.
% 8.52/8.89 (62469) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), ! nil = Y }.
% 8.52/8.89 (62470) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha19( X, Y ) }.
% 8.52/8.89 (62471) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha19( X, Y ), alpha10( X, Y )
% 8.52/8.89 }.
% 8.52/8.89 (62472) {G0,W5,D2,L2,V2,M2} { ! alpha19( X, Y ), totalorderedP( Y ) }.
% 8.52/8.89 (62473) {G0,W7,D3,L2,V2,M2} { ! alpha19( X, Y ), leq( X, hd( Y ) ) }.
% 8.52/8.89 (62474) {G0,W9,D3,L3,V2,M3} { ! totalorderedP( Y ), ! leq( X, hd( Y ) ),
% 8.52/8.89 alpha19( X, Y ) }.
% 8.52/8.89 (62475) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), strictorderedP( cons( X, nil
% 8.52/8.89 ) ) }.
% 8.52/8.89 (62476) {G0,W2,D2,L1,V0,M1} { strictorderedP( nil ) }.
% 8.52/8.89 (62477) {G0,W14,D3,L5,V2,M5} { ! ssItem( X ), ! ssList( Y ), !
% 8.52/8.89 strictorderedP( cons( X, Y ) ), nil = Y, alpha11( X, Y ) }.
% 8.52/8.89 (62478) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! nil = Y,
% 8.52/8.89 strictorderedP( cons( X, Y ) ) }.
% 8.52/8.89 (62479) {G0,W11,D3,L4,V2,M4} { ! ssItem( X ), ! ssList( Y ), ! alpha11( X
% 8.52/8.89 , Y ), strictorderedP( cons( X, Y ) ) }.
% 8.52/8.89 (62480) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), ! nil = Y }.
% 8.52/8.89 (62481) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), alpha20( X, Y ) }.
% 8.52/8.89 (62482) {G0,W9,D2,L3,V2,M3} { nil = Y, ! alpha20( X, Y ), alpha11( X, Y )
% 8.52/8.89 }.
% 8.52/8.89 (62483) {G0,W5,D2,L2,V2,M2} { ! alpha20( X, Y ), strictorderedP( Y ) }.
% 8.52/8.89 (62484) {G0,W7,D3,L2,V2,M2} { ! alpha20( X, Y ), lt( X, hd( Y ) ) }.
% 8.52/8.89 (62485) {G0,W9,D3,L3,V2,M3} { ! strictorderedP( Y ), ! lt( X, hd( Y ) ),
% 8.52/8.89 alpha20( X, Y ) }.
% 8.52/8.89 (62486) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), duplicatefreeP( cons( X, nil
% 8.52/8.89 ) ) }.
% 8.52/8.89 (62487) {G0,W2,D2,L1,V0,M1} { duplicatefreeP( nil ) }.
% 8.52/8.89 (62488) {G0,W6,D3,L2,V1,M2} { ! ssItem( X ), equalelemsP( cons( X, nil ) )
% 8.52/8.89 }.
% 8.52/8.89 (62489) {G0,W2,D2,L1,V0,M1} { equalelemsP( nil ) }.
% 8.52/8.89 (62490) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssItem( skol44( Y )
% 8.52/8.89 ) }.
% 8.52/8.89 (62491) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, hd( X ) = skol44( X
% 8.52/8.89 ) }.
% 8.52/8.89 (62492) {G0,W8,D3,L3,V2,M3} { ! ssList( X ), nil = X, ssList( skol45( Y )
% 8.52/8.89 ) }.
% 8.52/8.89 (62493) {G0,W10,D3,L3,V1,M3} { ! ssList( X ), nil = X, tl( X ) = skol45( X
% 8.52/8.89 ) }.
% 8.52/8.89 (62494) {G0,W23,D3,L7,V2,M7} { ! ssList( X ), ! ssList( Y ), nil = Y, nil
% 8.52/8.89 = X, ! hd( Y ) = hd( X ), ! tl( Y ) = tl( X ), Y = X }.
% 8.52/8.89 (62495) {G0,W12,D4,L3,V1,M3} { ! ssList( X ), nil = X, cons( hd( X ), tl(
% 8.52/8.89 X ) ) = X }.
% 8.52/8.89 (62496) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( Z, Y ) = app( X, Y ), Z = X }.
% 8.52/8.89 (62497) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( Y, Z ) = app( Y, X ), Z = X }.
% 8.52/8.89 (62498) {G0,W13,D4,L3,V2,M3} { ! ssList( X ), ! ssItem( Y ), cons( Y, X )
% 8.52/8.89 = app( cons( Y, nil ), X ) }.
% 8.52/8.89 (62499) {G0,W17,D4,L4,V3,M4} { ! ssList( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , app( app( X, Y ), Z ) = app( X, app( Y, Z ) ) }.
% 8.52/8.89 (62500) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 8.52/8.89 X, Y ), nil = Y }.
% 8.52/8.89 (62501) {G0,W12,D3,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), ! nil = app(
% 8.52/8.89 X, Y ), nil = X }.
% 8.52/8.89 (62502) {G0,W15,D3,L5,V2,M5} { ! ssList( X ), ! ssList( Y ), ! nil = Y, !
% 8.52/8.89 nil = X, nil = app( X, Y ) }.
% 8.52/8.89 (62503) {G0,W7,D3,L2,V1,M2} { ! ssList( X ), app( X, nil ) = X }.
% 8.52/8.89 (62504) {G0,W14,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, hd(
% 8.52/8.89 app( X, Y ) ) = hd( X ) }.
% 8.52/8.89 (62505) {G0,W16,D4,L4,V2,M4} { ! ssList( X ), ! ssList( Y ), nil = X, tl(
% 8.52/8.89 app( X, Y ) ) = app( tl( X ), Y ) }.
% 8.52/8.89 (62506) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! geq( X, Y )
% 8.52/8.89 , ! geq( Y, X ), X = Y }.
% 8.52/8.89 (62507) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 8.52/8.89 , ! geq( X, Y ), ! geq( Y, Z ), geq( X, Z ) }.
% 8.52/8.89 (62508) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), geq( X, X ) }.
% 8.52/8.89 (62509) {G0,W5,D2,L2,V1,M2} { ! ssItem( X ), ! lt( X, X ) }.
% 8.52/8.89 (62510) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 8.52/8.89 , ! leq( X, Y ), ! lt( Y, Z ), lt( X, Z ) }.
% 8.52/8.89 (62511) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), ! leq( X, Y )
% 8.52/8.89 , X = Y, lt( X, Y ) }.
% 8.52/8.89 (62512) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 8.52/8.89 , ! X = Y }.
% 8.52/8.89 (62513) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! lt( X, Y )
% 8.52/8.89 , leq( X, Y ) }.
% 8.52/8.89 (62514) {G0,W13,D2,L5,V2,M5} { ! ssItem( X ), ! ssItem( Y ), X = Y, ! leq
% 8.52/8.89 ( X, Y ), lt( X, Y ) }.
% 8.52/8.89 (62515) {G0,W10,D2,L4,V2,M4} { ! ssItem( X ), ! ssItem( Y ), ! gt( X, Y )
% 8.52/8.89 , ! gt( Y, X ) }.
% 8.52/8.89 (62516) {G0,W15,D2,L6,V3,M6} { ! ssItem( X ), ! ssItem( Y ), ! ssItem( Z )
% 8.52/8.89 , ! gt( X, Y ), ! gt( Y, Z ), gt( X, Z ) }.
% 8.52/8.89 (62517) {G0,W2,D2,L1,V0,M1} { ssList( skol46 ) }.
% 8.52/8.89 (62518) {G0,W2,D2,L1,V0,M1} { ssList( skol49 ) }.
% 8.52/8.89 (62519) {G0,W2,D2,L1,V0,M1} { ssList( skol50 ) }.
% 8.52/8.89 (62520) {G0,W2,D2,L1,V0,M1} { ssList( skol51 ) }.
% 8.52/8.89 (62521) {G0,W3,D2,L1,V0,M1} { skol49 = skol51 }.
% 8.52/8.89 (62522) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 8.52/8.89 (62523) {G0,W18,D5,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( app( Y, cons( X, nil ) ), Z ) = skol50, ! memberP( Y, X ) }.
% 8.52/8.89 (62524) {G0,W18,D5,L5,V3,M5} { ! ssItem( X ), ! ssList( Y ), ! ssList( Z )
% 8.52/8.89 , ! app( app( Y, cons( X, nil ) ), Z ) = skol50, ! memberP( Z, X ) }.
% 8.84/9.22 (62525) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 8.84/9.22 (62526) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 8.84/9.22 (62527) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 8.84/9.22 (62528) {G0,W9,D5,L1,V0,M1} { app( app( skol53, cons( skol52, nil ) ),
% 8.84/9.22 skol54 ) = skol46 }.
% 8.84/9.22 (62529) {G0,W6,D2,L2,V0,M2} { memberP( skol53, skol52 ), memberP( skol54,
% 8.84/9.22 skol52 ) }.
% 8.84/9.22
% 8.84/9.22
% 8.84/9.22 Total Proof:
% 8.84/9.22
% 8.84/9.22 subsumption: (255) {G0,W16,D3,L5,V3,M5} I { ! ssList( X ), ! ssList( Y ), !
% 8.84/9.22 ssList( Z ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 8.84/9.22 parent0: (62496) {G0,W16,D3,L5,V3,M5} { ! ssList( X ), ! ssList( Y ), !
% 8.84/9.22 ssList( Z ), ! app( Z, Y ) = app( X, Y ), Z = X }.
% 8.84/9.22 substitution0:
% 8.84/9.22 X := X
% 8.84/9.22 Y := Y
% 8.84/9.22 Z := Z
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 1 ==> 1
% 8.84/9.22 2 ==> 2
% 8.84/9.22 3 ==> 3
% 8.84/9.22 4 ==> 4
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 eqswap: (63131) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 8.84/9.22 parent0[0]: (62522) {G0,W3,D2,L1,V0,M1} { skol46 = skol50 }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 8.84/9.22 parent0: (63131) {G0,W3,D2,L1,V0,M1} { skol50 = skol46 }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 paramod: (63778) {G1,W18,D5,L5,V3,M5} { ! app( app( X, cons( Y, nil ) ), Z
% 8.84/9.22 ) = skol46, ! ssItem( Y ), ! ssList( X ), ! ssList( Z ), ! memberP( X, Y
% 8.84/9.22 ) }.
% 8.84/9.22 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 8.84/9.22 parent1[3; 9]: (62523) {G0,W18,D5,L5,V3,M5} { ! ssItem( X ), ! ssList( Y )
% 8.84/9.22 , ! ssList( Z ), ! app( app( Y, cons( X, nil ) ), Z ) = skol50, ! memberP
% 8.84/9.22 ( Y, X ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 substitution1:
% 8.84/9.22 X := Y
% 8.84/9.22 Y := X
% 8.84/9.22 Z := Z
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (281) {G1,W18,D5,L5,V3,M5} I;d(280) { ! ssItem( X ), ! ssList
% 8.84/9.22 ( Y ), ! ssList( Z ), ! memberP( Y, X ), ! app( app( Y, cons( X, nil ) )
% 8.84/9.22 , Z ) ==> skol46 }.
% 8.84/9.22 parent0: (63778) {G1,W18,D5,L5,V3,M5} { ! app( app( X, cons( Y, nil ) ), Z
% 8.84/9.22 ) = skol46, ! ssItem( Y ), ! ssList( X ), ! ssList( Z ), ! memberP( X, Y
% 8.84/9.22 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 X := Y
% 8.84/9.22 Y := X
% 8.84/9.22 Z := Z
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 4
% 8.84/9.22 1 ==> 0
% 8.84/9.22 2 ==> 1
% 8.84/9.22 3 ==> 2
% 8.84/9.22 4 ==> 3
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 paramod: (64444) {G1,W18,D5,L5,V3,M5} { ! app( app( X, cons( Y, nil ) ), Z
% 8.84/9.22 ) = skol46, ! ssItem( Y ), ! ssList( X ), ! ssList( Z ), ! memberP( Z, Y
% 8.84/9.22 ) }.
% 8.84/9.22 parent0[0]: (280) {G0,W3,D2,L1,V0,M1} I { skol50 ==> skol46 }.
% 8.84/9.22 parent1[3; 9]: (62524) {G0,W18,D5,L5,V3,M5} { ! ssItem( X ), ! ssList( Y )
% 8.84/9.22 , ! ssList( Z ), ! app( app( Y, cons( X, nil ) ), Z ) = skol50, ! memberP
% 8.84/9.22 ( Z, X ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 substitution1:
% 8.84/9.22 X := Y
% 8.84/9.22 Y := X
% 8.84/9.22 Z := Z
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (282) {G1,W18,D5,L5,V3,M5} I;d(280) { ! ssItem( X ), ! ssList
% 8.84/9.22 ( Y ), ! ssList( Z ), ! memberP( Z, X ), ! app( app( Y, cons( X, nil ) )
% 8.84/9.22 , Z ) ==> skol46 }.
% 8.84/9.22 parent0: (64444) {G1,W18,D5,L5,V3,M5} { ! app( app( X, cons( Y, nil ) ), Z
% 8.84/9.22 ) = skol46, ! ssItem( Y ), ! ssList( X ), ! ssList( Z ), ! memberP( Z, Y
% 8.84/9.22 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 X := Y
% 8.84/9.22 Y := X
% 8.84/9.22 Z := Z
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 4
% 8.84/9.22 1 ==> 0
% 8.84/9.22 2 ==> 1
% 8.84/9.22 3 ==> 2
% 8.84/9.22 4 ==> 3
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (283) {G0,W2,D2,L1,V0,M1} I { ssItem( skol52 ) }.
% 8.84/9.22 parent0: (62525) {G0,W2,D2,L1,V0,M1} { ssItem( skol52 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (284) {G0,W2,D2,L1,V0,M1} I { ssList( skol53 ) }.
% 8.84/9.22 parent0: (62526) {G0,W2,D2,L1,V0,M1} { ssList( skol53 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (285) {G0,W2,D2,L1,V0,M1} I { ssList( skol54 ) }.
% 8.84/9.22 parent0: (62527) {G0,W2,D2,L1,V0,M1} { ssList( skol54 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (286) {G0,W9,D5,L1,V0,M1} I { app( app( skol53, cons( skol52,
% 8.84/9.22 nil ) ), skol54 ) ==> skol46 }.
% 8.84/9.22 parent0: (62528) {G0,W9,D5,L1,V0,M1} { app( app( skol53, cons( skol52, nil
% 8.84/9.22 ) ), skol54 ) = skol46 }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 subsumption: (287) {G0,W6,D2,L2,V0,M2} I { memberP( skol53, skol52 ),
% 8.84/9.22 memberP( skol54, skol52 ) }.
% 8.84/9.22 parent0: (62529) {G0,W6,D2,L2,V0,M2} { memberP( skol53, skol52 ), memberP
% 8.84/9.22 ( skol54, skol52 ) }.
% 8.84/9.22 substitution0:
% 8.84/9.22 end
% 8.84/9.22 permutation0:
% 8.84/9.22 0 ==> 0
% 8.84/9.22 1 ==> 1
% 8.84/9.22 end
% 8.84/9.22
% 8.84/9.22 *** allocated 15000 integers for justifications
% 8.84/9.22 *** allocated 22500 integers for justifications
% 8.84/9.22 *** allocated 33750 integers for justifications
% 8.84/9.22 *** allocaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------